L

NI*IT ^< -NAJ'L J.NST. OF STAND & TECH PUBLICATIONS

A111D7 EM4Slb

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^^ATt% O^

^^.V* NIST TECHNICAL NOTE 1331

U.S. DEPARTMENT OF COMMERCE / National Institute of Standards and Technology

Properties of

Lennard-Jones Mixtures at

Various Temperatures and Energy

Ratios With a Size Ratio of Two

M.L. Huber

J.F.Ely

'QC

100

>l)5753

#1331

1989

C.2
rheNational Institute of Standards and Technology^ was established by an act of Congress on March 3, 1901. The Institute's overail goal is to strengthen and advance the Nation's science and technology and

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' Located at Boulder, CO, with some elements at Gaithersburg, MD.
Properties of

Lennard-Jones Mixtures at

Various Temperatures and Energy Ratios

With a Size Ratio of Two

M.L. Huber

J.F. Ely

Thermophysics Division

Center for Chemical Engineering

National Engineering Laboratory

National Institute of Standards and Technology

Boulder, Colorado 80303-3328

a ,^—2^—, <«

e.

U.S. DEPARTMENT OF COMMERCE, Robert A. Mosbacher, Secretary

NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY, Raymond G. Kammer, Acting Director

Issued May 1989
National Institute of Standards and Technology Technical Note 1 331

Natl. Inst. Stand. Technol., Tech. Note 1331. 426 pages (May 1989)

CODEN:NTNOEF

U.S. GOVERNMENT PRINTING OFFICE

WASHINGTON: 1989

For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, DC 20402-9325
Contents

Page

1 . Introduction 1

2 . Computer Simulation Studies 2

2 .

Description of Simulations 4

2.1.1 Computational Details 5 2.1.2 Accuracy 8

2 .

Simulation Results 8

2.2.1 Radial Distribution Functions 12

2.2.2 Direct Correlation Functions 12

3 . Theories of Fluids 22

3.1 Conformal Solution Theories for Pure Fluids 22

3 .

Mixture Theories 23

3.2.1 Mean Density Approximation n- Fluid Theory 25

3.2.2 Van der Waals one - Fluid Theory 26

3.2.3 Hard Sphere Expansion Theory 27

3.2.4 Statistical Mechanical Perturbation Theory ...29

3.2.5 Modified Mean Density Approximation 36

4 . Comparisons of the Theories 43

4.1 Radial Distribution Functions 43

4.2 Equation of State 43

4.3 Internal Energy 53

4.4 Excess Properties 57

5 . Conclusions 62

6 . Acknowledgements 62

7 . References 63

Nomenclature 67

APPENDIX A. Tabular Data for Radial Distribution Functions and

Local Compositions 69

APPENDIX B. Plots of Radial Distribution Functions 246

APPENDIX C. Tabular Data for Direct Correlation Functions 331

iii
List of Figures

Page

Figure 1. Molecular functions for a Lennard-Jones 6-12 fluid 13

Figure 2. Direct correlation functions, x^ =0.05 18

Figure 3 . Direct correlation functions , x^ =0.50 19

Figure 4. Direct correlation functions, x^ = 0.95 20

Figure 5 . Baxter q functions , X- = . 50 21

Figure 6. Comparison of simulation and MDA radial distribution

functions for x^ = . 05 37

Figure 7. Comparison of simulation and MDA radial distribution

functions for x- = 0.95 38

Figure 8. Comparison of 2-2 pair radial distribution functions

for X- = 0.25 at different energy ratios 40

Figure 9. Comparison of (g - g ) for Lennard-Jones 6-12

mixtures and hard sphere mixtures 41

Figure 10. Comparison of simulation and MDA radial distribution

functions for x- = . 05 44

Figure 11. Comparison of simulation and MDA radial distribution

functions for x^ = 0.95 45

IV-
List of Tables

Page

Table 1. Summary of Simulation Results for Binary Mixtures of

Lennard- Jones Particles for T =1, a^^/a^^ =2 9 Table 2. Summary of Simulation Results for Binary Mixtures of

Lennard- Jones Particles for T =2, a^r./o-^ =2 10

Table 3. Summary of Simulation Results for Binary Mixtures of

Lennard- Jones Particles for T =3, a^^/o^^ =2 11

Table 4. Comparision of Direct Correlation Functions for an Equimolar

Binary Lennard- Jones 6-12 Mixture Subject to

the Percus-Yevick Approximation 17

Table 5. Comparison of Predicted and Simulated Pressures for

Lennard- Jones Mixtures wth T =1 48

Table 6. Comparison of Predicted and Simulated Pressures for

Lennard- Jones Mixtures wth T =2 49

Table 7. Comparison of Predicted and Simulated Pressures for

Lennard- Jones Mixtures wth T =3 50

Table 8. Equation of State Comparisons for Binary Equimolar

Lennard-Jones Mixtures with Varying Size Ratios 51

Table 9. Equation of State Comparisons for Binary Equimolar

Lennard-Jones Mixtures with Varying Size Ratios 52

Table 10. Comparisons of Model Predictions for the Dimensionless

Residual Internal Energy for Lennard-Jones Mixtures

at T* = 1 54

Table 11. Comparisons of Model Predictions for the Dimensionless

Residual Internal Energy for Lennard-Jones Mixtures

at T* = 2

' 55

Table 12. Comparisons of Model Predictions for the Dimensionless

Residual Internal Energy for Lennard-Jones Mixtures

at T* = 3 56

Table 13. Comparison of Predicted Excess Properties with Monte Carlo

Simulation Results for Binary Equimolar Lennard-Jones

Mixtures 58

3 Table 14. Excess Volume (cm /raol) Comparisons with Lennard-Jones

Mixture Simulation Data 60

Table 15. Comparison of Selected Simulated and Predicted Excess

Properties for Equimolar Lennard-Jones Mixtures 61

-V-

PROPERTIES OF LENNARD -JONES MIXTURES AT VARIOUS TEMPERATURES AND ENERGY

RATIOS WITH A SIZE RATIO OF TWO

M. L. Huber and J. F. Ely

Thermophysics Division

National Institute of Standards and Technology

Boulder, Colorado 80303

In this work we present the results of molecular dynamics computer

simulations for binary Lennard-Jones mixtures with a size ratio of

two. A total of 84 state points were investigated, at seven compositions ranging from 5 percent to 95 percent of the small

molecule, energy ratios from 0.5 to 3.0, and three reduced

temperatures. In addition to the thermodynamic results, we present

extensive tabular data for the radial distribution functions, local

compositions and the direct correlation functions. We also discuss

several theories of dense fluid mixtures and give a new approximation for the radial distribution function of a pair in a mixture, which we call the modified mean density approximation. The

predictions of various thermodynamic quantities from the different

liquid mixture models are compared with simulation results. For

mixtures with large size differences, the modified mean density

approximation was found to be competitive with first order, LeeLevesque type statistical mechanical perturbation theory.

Key words: computer simulation; Lennard-Jones mixtures; mean

density approximation; molecular dynamics

1. Introduction

The design of chemical process unit operations equipment requires

detailed knowledge of the thermophysical properties of fluids and fluid

mixtures. In order to meet these design needs, accurate predictive models

are necessary, especially for emerging technologies such as enhanced oil

recovery, CO^-rich gas processing, supercritical extraction, biotechnology

and coal -based feedstock chemical processing. These technologies typically

involve materials which are not well represented in the current experimental

data base or which involve a region of fluid behavior which is difficult if

not impossible to study in a controlled laboratory environment,

A problem which touches on all of the applications mentioned above is

that of predicting the properties of mixtures which contain molecules with

large size differences. Previous studies have shown that systems such as these exhibit substantial deviations from most, if not all, theoretically

based corresponding states models for fluid thermophysical properties. In

this report we present the results of our investigations of the cause of

these failures. We have chosen to limit our study to systems whose

components obey the Lennard-Jones (U) 6-12 potential function. This

limitation enables us to focus on the mixture physics rather than on the

-1-
form of the intermolecular potential function and related deviations from

pure fluid corresponding states. We conjecture that any valid results

obtained for these systems will also be applicable to real fluids; that is,

if we capture the basic physics of the system, the physics will scale to more complex systems

.

There are two main goals of this work. One goal is to extend the

composition, size and energy ratio ranges of computer simulation data for

Lennard- Jones mixtures. We view this information as being essential if one wishes to develop molecularly based theories of fluid mixtures. Computer

simulation studies of LJ 6-12 mixtures have appeared in the literature;

however, most previously reported data are for equimolar mixtures of

molecules with relatively small size ratios.

The second goal of this work is to develop an improved analytic

approximation for mixture radial distribution functions . Once this

approximation is in hand, it will be possible to develop new predictive

models for the properties of mixtures exhibiting large size differences from

rigorous statistical mechanical relations.

A basic outline of the contents of this report is as follows. In

section 2 we describe our molecular dynamics computer simulation technique

and results for Lennard- Jones mixtures with a size ratio of two. We present

extensive tables of the radial distribution functions (RDF) , local

compositions, and plots of the radial distribution functions obtained from

the simulations. In addition, we report how we obtained the direct

correlation functions (DCF) for the mixtures from the simulation radial

distribution functions and present the DCF's in tabular form. In section 3 we discuss several important theories of dense fluid mixtures including the

van der Waals one fluid theory (VDW-1), the mean density approximation

(MDA) , the hard sphere expansion theory (HSE) and the Lee-Levesque first

order statistical mechanical perturbation theory. We also present a new approximation for radial distribution functions in mixtures , the modified

mean density approximation (MMDA) . In section 4 we compare the predictions

of these theories with our own MD simulation results, as well as with

computer simulation results found in the technical literature.

2. Computer Simulation Studies

During the past few years, there has been great interest in developing

more accurate corresponding states theories for fluid mixtures by using

2-
molecular theory. This is especially true for systems which exhibit large

differences in size or polarity among the mixture components. One approach

to this problem focuses on the development of local composition models,

which combine a microscopic intuitive picture of fluid structure with a semiempirical equation of state. In this type of model the local

compositions are obtained theoretically from the particle coordination

numbers n. . where

L^r Q

n. . (L. . ) = 47rpx.

ij ij 1 g.j (r',{p^},T',[e^^),(<r^^),...) r^dr. (1)

The definition of the local composition X. . of a particle of type i about a

c central molecule of type j with a cutoff parameter L. . is

n..(L?.)

X.. = "J ^'^ (2)

^J M

k=l

In eq (1), p is the bulk density, x, is the mole fraction of i in the

mixture, and g. . is the radial distribution function for the ij pair. It is

proportional to the probability of finding a molecule of type i a distance r from a central molecule of type j in the mixture. Generally, the radial

distribution function depends upon the set of component number densities

{p, ), the temperature T, and the complete set of intermolecular potential

parameters (^i-i) {"^i^i ) . • • • . foi^ all of the M components in the mixture. One

of the main problems with the local composition approach is the definition

of the cutoff parameter L . . . The local compositions obtained from eq (2) are a strong function of this parameter.

An alternate microscopic approach which avoids having to define the

cutoff parameter was proposed by Leland and coworkers [1-3]. In Leland's

approach one makes an approximation which directly relates the radial

distribution function of a pair in a mixture to that of a hypothetical pure

fluid. This approximate distribution function can then be used to derive

mixing rules for use in corresponding states models. An example of this

-3-
approach is presented in section 3 of this report.

In both of these approaches, detailed information concerning the radial

distributions of mixture pairs is essential. In spite of this need,

relatively few distribution functions have been reported in the literature;

most of those were for equimolar mixtures at small size ratios (which we define as a-_/a-^), generally less than 1.3. There have been several

simulation studies of Lennard-Jones 6-12 systems [4-13], but a systematic

study covering a wide range of composition at several energy ratios (^oo/

€--) for mixtures with large size ratios has never been done.

One of the initial goals of this study was, therefore, to generate an extensive base of radial distribution function and thermodynamic data which

could be used to test and evaluate existing and future molecular theories of

fluid mixtures. Since it is essential that the intermolecular potential be

known in the development of new theories, the only route to this goal was computer simulation.

There are two simulation methods available by which one can obtain

mixture properties and radial distribution functions. The first is the Monte

Carlo approach where a system of particles is taken through a series of

randomly assigned configurations. A given configuration is accepted or rejected on the basis that the configuration space generated is consistent

with the probability density of the ensemble chosen. Thermodynamic

properties are calculated from configurational averages of the appropriate

functions of the intermolecular potential.

In the second method, molecular dynamics, a system of particles is

assigned an initial set of positions and momenta. A series of configurations

is generated by solving the equations of motion describing the particles.

Properties are obtained from time averages in the system. In this work we have used the molecular dynamics method, primarily because the necessary

computer programs were already available for pure fluids [14].

2.1 Description of Simulations

The systems investigated in this study were chosen to overlap some of

the results of previous investigators [8,9] and to extend the base of

calculations to higher temperatures and lower densities. The components of

the mixtures interacted with a pairwise additive Lennard-Jones (12-6)

potential
u..(r) = 4e,.[(a../r)^^ - (a../r)^] (3)

where i and j denote the components, e. . denotes the value of the

•^ 1/6 intermolecular potential depth at the minimum r -2a,., and a, . is the m ij ' ij

collision diameter such that u. .(a..) - 0. In these calculations, the

smaller molecule was assigned the potential parameters associated with

argon, o^^ = 0.3405 nm and e-^/k = 120 K, where k is Boltzmann's constant.

11 11 D O

In the calculations presented in this report a„-/CT-- = 2, €-_/c^. varies

from 0.5 to 3.0, and k T/e^- ranges from 1.0 to 3.0. This is a fairly large

D 11

size ratio; methane -decane has a size ratio of about 1.8. The densities were

3 chosen such that po-,-, /^-it- 0-5 (p ~ 20.9 MPa) . Nominal compositions studied

were 5, 10, 25, 50, 75, 90 and 95 mol percent of the small molecule. The

unlike pair parameters were calculated from the Lorentz-Berthelot rules

^12 = (^11^22>^^^ ^""^

and

^12 = ^"11 ^ ^^22^/2. (5)

2.1.1 Computational Details

The simulations were performed using system sizes ranging from 864 to

2048 particles, depending upon the composition of the mixture. In all cases

the system contained at least 102 particles of each component. Hamilton's

equations of motion were solved at constant kinetic temperature by imposing

a Gaussian thermostat of the form proposed by Evans and Hoover [15-17]. The

basic form of the equations of motion for particle i is

q. = p./m. (6)

and

p. = F. - Ap.. (7)

The isothermal constraint A is found by requiring that the time derivative

of the kinetic temperature be identically zero, namely

2

3 3

a p — I NkT = — ^ X - =

;i^ 2 -^ 2 ^ m. ot 3t 1
or

I Pi-Pi = 0. (8)

Substituting eq (7) for p. into eq (8) and solving for A one finds

A = I Pi-F. / I pj (9)

The details of the Hamiltonlan and the Gaussian constraint method are discussed in depth by Evans and Morrlss [17].

The equations of motion, eqs (6) and (7) are solved using a fourth

order Gear predictor- corrector method [18] with an integration time step of

1/2

5 = 0.005 a^^(m^^/e^^) , which for the values given previously and an atomic mass corresponding to argon is approximately 10 fs . The simulations

were initiated from a fee crystal with random assignments to the lattice

sites. The systems were typically equilibrated for a minimum of 1000 time

steps to remove any history of the initial configuration. The Interraolecular

Q potential was truncated at r .

. = 2.5 a., and neighbor lists were maintained

at varying distances ranging from 2.8 ct. . at T (= k T/e^^) = 1.0, to 3.5 a.. ^ J J at T = 3, Anjrwhere from 20,000 to 100,000 equilibrium time steps were generated for each state point. The primary criterion for stopping the

simulations was noise in the radial distribution functions (see below)

approaching their theoretical values (1/N)

.

The pressure p and Internal energy U were corrected for the truncated

potential by assuming that the radial distribution function was identically

unity from the potential cutoff distance r, . to Infinity. The resulting

^,,COR ^ ^ COR corrections AU and Ap are

ij

AU*^°^ M M

= 27rpX Z XX

Ne

11 1 J 1 J (u. .A^P r dr

c

r. .

(10)

^ M M ^ 8^P I I x^x e IJ

- (a../r..) (a../rT.)

and
, COR 3 Ap o^^

11

Inp M M

» 4^ 4^ 1 J 11

3 1 J

(u. ./e^^) r- dr

ij

(11)

16 2 M M

^(P ) IE XX € 1 J 1 J

" 3 * *

a. . IJ IJ 2(a../r..) 3(a../r..)

where p is the molecular number density, and we define the reduced

* 3 * * quantities p = po-^ , o.. = 0../0-- and e.. = e../e-,,. We used the cutoff

11 ij ij 11 ij ij 11

r. .^ = 2.5a.

.

The pair correlation functions were determined by sampling the system

at a frequency of approximately once every hundred time steps. The step size

AR. . of the resultine histograms was chosen to be 0.025a... The distribution

functions were generated from the resulting histograms using eq (14) . In

particular, the number of molecules of type j in a spherical shell of

thickness AR at a distance R from a central molecule of type i is given by

R+HAR

N. .(R + HAR) - N. .(R ^AR) = 47rpx. gj^j(r;{p^),T;{e^,).{a^^})r dr

kl kl

R-HAR

^ AN. .(R)

.

(12)

If AR is small, g. . may be approximated as a constant in the integrand and

we find that

glj(R) =

AN. .(R)

U

(47r/3)px.AR^ [3(R/AR)^ + 1/4]

(13)

Defining R to be kAR and R. . = R/a.. = k(AR/a..)= k5 . . we find

-7-
* AN (R )

^J ^J (4V3)P X (5 C7 )'^[3k^ + 1/4]

2.1.2 Accuracy

The overall accuracy of the simulations is a strong function of the

total number of particles and the concentration. In all cases the total

energy of the system with the thermostat off was conserved within 0.1

percent per 10,000 time steps. We estimate that the accuracy of the radial

distribution functions is better than 0.5 percent except for the like -like

distribution functions for the cases where the concentrations were less than

10 percent of that component. In this case uncertainties are of the order of

2 percent. Increasing the system size would increase the accuracy of the

simulated distribution functions at the expense of computational time.

2.2 Simulation Results

The results of the simulations are summarized in tables 1-3, which give

the compositions and energy ratios studied, in addition to the relevant

thermodynamic state data. The column titled #TS refers to the number of time

steps performed in the simulation, and the units for the binary

-5 2 diffusivities D- and D. are 10 cm /s . The d

from the generalized Einstein relationship [19].

-5 2 diffusivities D- and D. are 10 cm /s . The diffusivities were calculated
Table 1. Svunmary of Simulation Results for Binary Mixtures of

Lennard- Jones Particles for T = 1, ^22/^11 =

^22/^1 N

TOT ^1 #TSxlO' p* P U D^xlO^ D^xio"

0.5 2048 102 12 0.5163 0.1265 -2, 54233 15.1935 7.8023

864 86 30 0.5360 0.1210 -2,,59146 17.3632 7.7663

864 216 20 0.5083 0.1386 -2.,73234 14.7660 7.2833

864 432 20 0.5253 0.1900 -3,,09175 11.8063 6.5290

864 648 20 0.5239 0.3030 -3..72811 8.7924 4.5114

864 778 20 0.4171 0.4662 -4,.37242 6.5442 3.9924

2048 1946 10 0.4763 0.5825 -4,.78323 5.7851 3.3182

1.0 2048 102 14 0.5677 0.1225 -6,.15758 6.7190 2.8140

864 86 25 0.5206 0.1265 -6,.03921 7.7836 3.1100

864 216 20 0.5084 0.1466 -5,.84842 8.2455 2.8915

864 432 20 0.4876 0.2000 -5,,56958 7.0490 2.9046

864 648 20 0.4966 0.3190 -5,,41641 6.1988 2.7090

864 778 20 0.5081 0.4939 -5,,38362 5.4699 2.7785

2048 1946 10 0.4840 0.5980 -5,,34201 4.7848 2.2332

1.5 2048 102 16 0.3409 0.1280 -10,.52639 1.8271 0.1524

864 86 30 0.4946 0.1310 -9 .72044 4.8239 1.2583

864 216 20 0.4786 0.1520 -9 .09142 4.4668 1.3755

864 432 20 0.5252 0.2100 -8 .11267 4.1566 1.3589

864 648 20 0.6597 0.3380 -7 .11019 3.9731 1.3443

864 778 20 0.5056 0.5080 -6 .20846 4.1596 1.5434

2048 1946 10 0.5105 0.6125 -5 .83592 4.2047 2.0968

P^ii /^r p = pa

3 * ic "^ ^^ , U = (U-U ^)/Ne^^, T V/Hi
Table 2. Summary of Simulation Results for Binary Mixtures of

Lennard- Jones Particles for T = 2,, o^^/a^^ = 2

^22/^ N

11 TOT ^1 #TSx

-3 *

10 p *

P *U D^xlO^ D^xio'

0.5 2048 102 80 0.5073 0.0910 -1,.69546 42.7237 30,,6972

1372 137 70 0.5072 0.0945 -1,,72142 52.0333 30,.9436

864 216 65 0.5090 0.1070 -1.,79818 49.4129 29,.7486

864 432 65 0.5093 0.1371 -1,,91893 47.4465 24..5766

864 648 65 0.5005 0.1901 -2,,01086 47.8357 23..4134

1372 1235 75 0.4941 0.2470 -2,,01561 44.9058 22..9042

2048 1946 70 0.4956 0.2742 -1,,99830 43.3780 25,.0122

1.0 2048 102 100 0.5100 0.0979 -4.,49437 36.2669 19..1511

1372 137 100 0.5093 0.1019 -4.,42388 37.1825 18,.0984

864 216 70 0.5212 0.1170 -4.,23143 34.3131 19,,1460

864 432 60 0.5252 0.1530 -3.,83958 32.3285 16,.3820

864 648 60 0.5197 0.2180 -3.,30589 31.9178 18,.8228

1372 1235 100 0.5122 0.2800 -2,.72191 36.5741 19,.6629

2048 1946 100 0.5050 0.2981 -2,.38691 38.6377 19,.6660

1.5 2048 102 100 0.5052 0.1050 -7,.70155 31.3380 12,.7491

1372 137 110 0.5060 0.1095 -7..55894 27.9719 12,.7207

864 216 100 0.5183 0.1260 -6,.98276 25.0449 12,.0510

864 432 80 0.4968 0.1650 -5,.88272 27.8968 12,.3418

864 648 80 0.5440 0.2435 -4,.68006 24.5989 12,.8333

1372 1235 100 0.5077 0.3058 -3,.37038 31.5365 13,.9545

2048 1946 94 0.5161 0.3215 -2,.76247 34.6736 17,.2815

2.0 2048 102 110 0.5107 0.1113 -11,.36056 21.8329 7,.5420

2048 205 100 0.5120 0.1162 -11,.01778 17.9834 7,.5591

1372 137 120 0.5146 0.1162 -11 .01948 18.6890 7,.4261

1372 343 50 0.5207 0.1338 -9,.98481 18.6678 7,.9928

864 216 80 0.5196 0.1338 -9 .98672 18.4361 7,.9370

864 432 60 0.5042 0.1772 -8 .12524 19.1107 8..4907

1372 686 89 0.5039 0.1772 -8 .12549 19.4474 8,.0008

864 648 60 0.4799 0.2571 -5,.91509 21.3964 9,.4607

1372 1029 80 0.4790 0.2571 -5 .91705 22.1203 9,.2425

1372 1235 90 0.5112 0.3315 -4,.03767 25.7272 12,.4644

2048 1946 100 0.5123 0.3387 -3,.09045 31.7635 15,.9829

P =

3, * P^ii /'ir '

== ^

3 * "11 • " = (U-U^^)/N<

k

T =

11' V/^i

10
Table 3. Summary of Simulation Results for Binary Mixtures of

Lennard- Jones Particles for T =3, a.^/o-- = 2

e22/< N

'11 TOT ^1

-3 * #TSxlO p

k

P U D^xlO^ D2XI0'

0.5 2048 102 60 0.5064 0.0757 -1,,19788 100.1324 56,.9542

1372 137 60 0.5062 0.0782 -1,,21459 95.2445 58,.0472

864 216 60 0.5080 0.0868 -1,,25964 100.3261 53..8740

864 432 60 0.5058 0.1053 -1,.29602 93.8563 55.,8823

864 648 60 0.4998 0.1312 -1,.23282 103.4154 55,,2719

1372 1235 60 0.4985 0.1509 -1,,08446 107.0000 61,,3151

2048 1946 60 0.4976 0.1580 -1,.04599 115.9106 56,,7092

1.0 2048 102 60 0.5133 0.0813 -3,.43451 84.5192 43,,0103

1372 137 60 0.5163 0.0844 -3,.36841 70.8311 41,,8577

864 216 60 0.5095 0.0937 -3..11643 73.3427 41,,9707

864 432 60 0.5240 0.1168 -2,.68393 72.8885 41,,1131

864 648 60 0.5418 0.1432 -1,.97761 84.3602 45,,1909

1372 1235 60 0.5015 0.1590 -1,.41005 99.3228 49,.7251

2048 1946 60 0.5002 0.1626 -1,.19450 107.7532 48,.2249

1.5 2048 102 60 0.5177 0.0885 -6,.13922 63.9380 31..0738

1372 137 60 0.5243 0.0921 -5,.96854 62.5458 31,.9294

864 216 60 0.5404 0.1045 -5,.42598 63.4089 29,.6867

864 432 60 0.5514 0.1312 -4,.34983 55.0616 31,.7748

864 648 60 0.5195 0.1601 -2 .83676 72.7091 37,.4769

1372 1235 60 0.5045 0.1672 -1,.69583 94.9457 44,.9523

2048 1946 60 0.5013 0.1666 -1,.32059 101.0609 49,.8424

2.0 2048 102 60 0.5198 0.0955 -9 .26714 43.3200 22,.1334

1372 137 60 0.5159 0.0991 -8 .93151 51.7559 22,.8297

864 216 60 0.4769 0.1100 -7,.79174 49.0637 23,.5291

864 432 60 0.5498 0.1434 -6,.18035 50.5086 22,.9338

864 648 60 0.5075 0.1738 -3 .71437 61.6662 32,.1590

1372 1235 60 0.5063 0.1759 -1 .99257 85.7312 37,.8553

2048 1946 60 0.5022 0.1705 -1 .44352 100.0376 45,.5693

3.0 2048 102 60 0.5267 0.1071 -16 .40640 27.9467 11,.4089

1372 137 60 0.5010 0.1109 -15 .68213 29.7562 11,.8001

864 216 60 0.5017 0.1264 -13 .70655 32.8076 12,.5515

864 432 60 0.5168 0.1636 -10 .24047 34.1165 14,,5701

864 648 60 0.5257 0.2130 -6 .01230 41.7407 17,.8995

1372 1235 60 0.5119 0.1952 -2..62192 74.5946 28,.9765

2048 1946 60 0.5045 0.1783 -1 .68603 124.2982 52,.9936

*

P =

3, * P^ii /^ir ^

3 * = (U-U^^ )/N«\1' ^ = V/^11

11-
2.2.1 Radial Distribution Functions

Appendix A contains tables of the radial distribution functions

obtained from the simulations as well as the local compositions calculated

from eq (2). In addition, Appendix B contains figures which show the radial

distribution functions for the state points obtained in this study. These

results will be discussed in more detail in sections 3.2.5 and 4.1 of this

report.

2.2.2 Direct Correlation Functions

In addition to the radial distribution functions defined above, another

correlation function, the direct correlation function, is of great interest

in integral -equation fluid theory. Relatively little has been reported for

this function for mixtures, so we have attempted to obtain these functions

from our simulation results. The direct correlation function, c(r), is

defined in terms of the total correlation function, h(r) , by the OrnsteinZernike (OZ) equation [18],

h,.(r) = c,,(r) + I i-J ij

ds c^j^(s) h^j(|r-s|). (15)

where

- |s|,

''k - V'

and

\^ir) =g..(r) - 1, (16)

The integration is carried out over all three dimensional space. Physically,

the OZ equation describes the fact that the total correlation between

particles one and two, b arises not only from a direct contribution, c _, but also from an indirect correlation propogated by intermediate particles

.

The direct correlation function generally has much shorter range than

the radial distribution function - typically it has the same range as the

intermolecular potential function [19]. At large r, c(r) ~ -u(r)/k T. It is

also relatively simple in structure compared to the radial distribution

function. Figure 1 presents a typical radial distribution function and the

12-
Figure 1. Molecular functions for a Lennard-Jones 6-12 fluid.

Radial distribution function, solid line; Direct correlation

fvmction, dashed line; Intemolecular potential function,

dotted line.

-13-
corresponding direct correlation and intermolecular potential functions for

a Lennard- Jones 6-12 fluid, giving an idea of typical structure and range

for these functions.

In order to obtain the direct correlation functions, the OrnsteinZernike integral equation must be solved. There are several possible

solution methods, as discussed by Watts [20] and Lee [21]. In this work, the

objective is to obtain the direct correlation functions from simulation data

for the radial distribution functions , which are known only over a finite

interval, (typically 0-4 a..). Thus it is necessary to use a method which is

not sensitive to the nature of the tail of the RDF. Such a method was proposed by Baxter [22,23], whose method is applicable to systems which have

direct correlation functions of finite range. It transforms the OZ equation,

which involves h(r) over an infinite range, into two integro- differential

equations which involve h(r) , c(r) and a new function q(r) only over a finite range. Baxter found that

dq..(r)

rc(|r|) = - -^ + 2nl p

^ dr k k

for s . . < r < r . . and

dq..(r) ^^^

^h..(|rl) = - -^ + 2irl p

-^ dr k k

rm , y \ dq (r+t)

dt q, .(t)

—^

(17) ^^ dr

s, . ki

dt q^^(t)(r-t)h^j(|r-t|) (18)

^k

for r > s . .

.

In these equations r. . = (r.+r.)/2, s,. = (r,-r.)/2, and r =

n»in{^^^.r^. -r) The r. are range parameters chosen such that c..(r) = for

r > r and the q. . satisfy the condition q..(r) = for r > r. . . The only

approximation made in this method is that c,.(r) is exactly zero after the

ij

cutoff parameter r. The Baxter method can be used to obtain c(r), or to extend the RDF to

larger values of r. Dixon and Hutchinson [24] have used Baxter's method to

extend radial distribution functions from computer simulations for single

component Lennard- Jones fluids. Jolly et al. [25] have used this procedure

-14-
to extend simulation RDF's for binary Lennard- Jones mixtures.

The method may also be used within the context of solving the OZ

subject to some particular closure relation. In the Percus-Yevick

approximation we assume that

c^^(r) = f(r)y(r), (19)

where f(r) is the Mayer f-function,

-u(r)/k T

f(r) = e - 1,

and

u(r)/kgT

y(r) = e g(r).

For example, Fischer and Lago [26] used Baxter's method to solve the PercusYevick equation for binary, softly-repulsive spherical particles, while

Ebner et al. [27] used the Baxter technique to solve the Percus-Yevick

equation for a pure Lennard- Jones 6-12 fluid.

We have solved the OZ, eq (15) using Baxter's method in order to obtain

direct correlation functions for Lennard- Jones 6-12 mixtures using the

simulation data for the radial distribution functions. The calculation

begins by assuming a starting set of values for dq(r)/dr; these were taken

to be the Percus-Yevick solution for a mixture of hard spheres, as given by

Baxter [23]. The q..(r) functions can be found from dq..(r)/dr using

q..(r) =

f '^ dq,..(t) -^ dt. (20)

dt

Equation (18) is then solved for the next iterate of dq..(r)/dr, and the

procedure repeated until convergence to within some specified tolerance is

obtained. In this work, iteration continued until successive iterates of

each dq,.(r)/dr at all points in the range of q..(r) differed by less than 1

part in 10 , resulting in anywhere from 20-300 iterations. The iteration was

stable, and it was not necessary to use a mixing of the successive

iterations as suggested by Broyles [28]

-15-
Baxter's method requires that the direct correlation functions be

exactly zero past the cutoff parameter r . . In actuality, the direct

correlation functions for Lennard-Jones potentials do not go exactly to

zero, but only asymptotically approach zero. We chose to use 2.5a.. as the

cutoff parameter, since the simulations were performed with the LennardJones potential truncated at 2

.

5ct . . Integrals were evaluated numerically

using Simpson's rule with a grid size of 0.025a.. As a test of the method, we compared the direct correlation function obtained from a Percus-Yevick

integral equation program by Monson [29] which uses the solution method of

Gillan [30] with the direct correlation function computed using the Baxter

method. As input to the Baxter program, we used the RDF obtained from the

Percus-Yevick integral equation program. In table 4 we compare the resulting

direct correlation functions. The agreement is very good; the deviation at

the peak of c(r) is on the order of one tenth of one percent.

The direct correlation functions found from the Baxter method using our molecular dynamics simulation data are tabulated in Appendix C. They were

found without assuming any type of closure relationship, such as the PercusYevick; the only assumption is that c(r) goes to zero at 2.5a... Figures 2-4

show some typical direct correlation functions for three compositions at a reduced temperature of two and equal energy ratios. In these figures the

independent variable is r/a.

.

Figure 5 illustrates the Baxter q functions corresponding to the c(r)

given in figure 3. In contrast to c(r) and g(r) which have the symmetry

relationships c-_(r) = c-- (r) and g--(r) = g-^ (r) , the q functions do not

have this type of symmetry.

16-
Table 4. Comparison of Direct Correlation Functions for an Equimolar Binary Lennard- Jones 6-12 Mixture Subject to

the Percus-Yevlck Approximation.

r/a

IJ '11 12 '22

0.100 -4.8772 -4.8762 -3.7754 -3.7705 -13.6049 -13.5955

0.200 -4.5051 -4.5042 -3.9033 -3.8990 -11.8358 -11.8266

0.300 -4.0527 -4.0517 -4.0479 -4.0440 -10.0010 -9.9922

0.400 -3.5980 -3.5970 -4.0314 -4.0278 -8.3248 -8.3169

0.500 -3.1717 -3.1706 -3.7660 -3.7626 -6.8233 -6.8169

0.600 -2.7828 -2.7817 -3.3423 -3.3389 -5.4818 -5.4772

0.700 -2.4330 -2.4319 -2.8631 -2.8599 -4.2926 -4.2901

0.800 -2.1219 -2.1208 -2.3899 -2.3871 -3.2578 -3.2577

0.900 -1.7818 -1.7808 -1.8863 -1.8842 -2.3014 -2.3037

1.000 0.0000 0.0009 0.0000 0.0013 0.0000 -0.0046

1.100 0.8989 0.8998 0.8190 0.8194 0.7648 0.7581

1.200 0.7036 0.7045 0.6010 0.6006 0.5022 0.4934

1.300 0.4377 0.4386 0.3594 0.3581 0.2879 0.2770

1.400 0.2662 0.2672 0.2174 0.2150 0.1823 0.1694

1.500 0.1661 0.1672 0.1397 0.1364 0.1288 0.1144

1.600 0.1076 0.1087 0.0959 0.0917 0.0937 0.0784

1.700 0.0726 0.0735 0.0688 0.0638 0.0687 0.0531

1.800 0.0508 0.0515 0.0501 0.0446 0.0520 0.0364

1.900 0.0367 0.0372 0.0370 0.0312 0,0408 0.0257

2.000 0.0273 0.0275 0.0279 0.0219 0.0322 0.0179

2.100 0.0206 0.0205 0.0216 0.0155 0.0244 0.0113

2.200 0.0157 0.0154 0.0172 0.0111 0.0180 0.0063

2.300 0.0121 0.0116 0.0138 0.0079 0.0134 0.0032

2.400 0.0094 0.0087 0.0110 0.0054 0.0102 0.0015

2.500 0.0075 0.0064 0.0086 0.0035 0.0002 0.0007

V/^11 2.0, pa^^ = 0.154,

^22/''ll ^ ^•^' ^"^ ^22^^11 ^ ^ '^

Results in columns labelled A are from the integral equation solution

technique of Gillan [30] as implemented in Monson's [29] program. Results

labelled B are from Baxter's method.

17-
Direct Correlation Functions for T' = 2.00

x^ = 0.05 ^zz/^n = 100 P' = 00980

R*

Figure 2. Direct correlation functions, x. = 0.05

18
Direct Correlation Functions for T* = 2.00

x^ = 0.50 Cj/e,^ = 1.00 p' = 0.1540

R*

Figure 3. Direct correlation functions, x, =« 0.50

-19-
Direct Correlation Functions for T' = 2.00

x^ = 0.95 -^ssAh = ^0° P' = 0-2980

R*

Figure 4. Direct correlation functions, x. = 0.95

20
Baxter q Functions for T' = 2.00

x^ = 0.50 ^z^/^n = ^00 P' = 0.1540

g7TrnTi Tn;i :ri.u.u-i.r,i38aa6Bea)

0.0 0.5 1.0 1.5 2.0 2.5

,

Figure 5. Baxter q function, x. = 0.50

-21-
3.0 Theories of Fluids

In the following sections we present a review of conformal solution

theory, as it is applied to both pure fluids and mixtures. We describe the

most useful mixture theories currently in use, including the mean density

approximation, the van der Waals one -fluid theory, hard sphere expansion

theory and Weeks -Chandler -Andersen perturbation theory. We then present a new model which is useful for mixtures containing large size differences.

3.1 Conformal Solution Theories for Pure Fluids

A conformal solution is a system in which all the molecules obey the same reduced intermolecular potential energy function which can be

represented as the product of a universal function F of reduced distance and

other molecular parameters (such as dipole moments) and an energy parameter.

For simple spherically symmetric molecules obeying a two parameter force

law, we have

u. .(r) = €..F(r/a..). (21) 11 11 ^ ii'^ ^

'

The U potential of eq (3) is of this type. For two pure fluids obeying this

type of force law, simple scaling arguments for the partition function in

the canonical ensemble lead to the conclusion that the fluids' residual

Helmholtz free energies A. and compressibility factors Z. are related by

the expressions [31]

aJ(V,T) = f.A^(V/h.,T/f.), (22)

and

ZJ(V,T) = Z^(V/h.,T/f.), (23)

where the subscript "o" denotes the reference fluid, and the factors f. and

1 h, are called equivalent substance reducing ratios. These factors are defined by

h = (a /a ) = Vj/V"" and f. = e../« = T? / t"" , (24)

1 11 OO l' O 1 ll' OO 1 o

where the superscript "c" denotes a critical property. This result

demonstrates the concept of corresponding states - the macroscopic

-22
properties of one fluid may be calculated from a knowledge of another, by

scaling.

The concept of corresponding states may also be used when the fluids

are not conformal . For this situation, Leland and coworkers [32-34]

developed an extended corresponding states model where shape factors (f) . and

6. were used to account for nonconformality of the potentials. They used

h. = —— <f>.(T . ,V . ,w.) (25)

1 c 1 ri ri 1

and

o

T^

f. = —— e.(T . ,V . ,w.) (26)

1 c 1 ri ri 1 o where

T .= T/T? , V .= V/V?

ri 1 ri 1

where the r denotes a reduced quantity , the i notation refers to the species

and u. is the accentric factor. The shape factors are in general functions

of both density and temperature. Fisher and Leland [33] fit these shape

factors to a generalized mathematical form.

3.2 Mixture Theories

Even though the extended corresponding states theory is essentially

exact for pure fluids, the scaling arguments which lead to eqs (22) and (23) are no longer applicable for mixtures - even if the molecules are conformal

.

One approach to this problem, proposed by Leland and coworkers, involves

making direct approximations about the radial distribution functions in

mixtures

.

The starting equation for Leland' s development [32-34] is the rigorous

statistical mechanical result for the equation of state of a mixture of

pairwise additive, spherically symmetric molecules:

2np M M — I I x.x

3kgT i j

"- J ^J— du. . (r) 3 g (r;(p^).T;(.^l),l.^l))rdr. (27)

dr -^

23
In this equation Z is the compressibility factor pV/RT, u. . is the

Intermolecular potential whose parameters are o.. and e... and p is the

number density. In Leland's development, the intermolecular potential is

LR assumed to be a hard sphere terra plus a long range attraction F , that is

u.. (r) = u"^ (r) + e.. F^(r/a. . ) (28)

ij ij ij ij

where

HS

u. . = 00 r < a. .

X > a . . .

The form of the long range contribution to the potential is immaterial since

contributions of this term to the thermodynamic properties will be evaluated

with a corresponding states argument.

The next step in Leland's theory is the mean density approximation

[1,3,33] for the radial distribution function appearing in eq (27). In the

mean density approximation, one assumes that the radial distribution

function of the ij pair is identical to that of a pure fluid evaluated at

the reduced conditions of the pair and a mean number density.

Mathematically

Sij(r;p,T;(x^|,(.^^,,,<^^)) = g„(rA^j ;.. j

; k^TA . j

) (29)

3

r] . . = no . .a . . /G

'ij ^ij ij'

where p'.. is the mean density for the ij pair. The subscript o denotes a pure fluid distribution function.

Given the pure fluid distribution function, the expansion techniques

developed by Kirkwood et al.[35] can be used to express the distribution

function of a real fluid in terms of that of a hard sphere fluid, namely

24
g (r/a..;f7..;k^T/6..) = g^^'Cr/a. . ;r? . . ) "o ' ij ij B

"^ 1

J ''o ' 1J

' ij In=o

e . . .11

uV^

n

^ (r/a. . ;f?. .) (30)

where the ^ are complicated integrals over the hard sphere radial

distribution function. Substituting these results into eq (27) and scaling

the results by cr. . gives for a mixture

Z . - 1 = mix I

n=o

nn r 11

V

MM ^2 ' 1 I I X X e" a I (r/ )J

1 J ij iJ n -ij (31)

The analogous result for a hypothetical pure fluid is

X

1 = I

n=o

in

il

V

T / N " 3

I (»7 ) e a . n X XX (32)

Setting ri = r} . . (= npo /6) and subtracting, results in

X IJ X

mix

n=o uVn

I (po-^) n X

, M M _ n J V V no € a - ) > x.x. e . .o .

XX ^ ^1 J ij ij

(33)

Thus, upon setting Z - Z . = , we have at our disposal an infinite set of ° X mix '^ terms (coefficients of [e../k„T] ) from which we can choose two for the

ij' B

determination of the potential parameters of the hypothetical pure fluid.

The properties of this hypothetical pure fluid can then be evaluated from

pure fluid corresponding states theory as described above.

3.2.1 Mean Density Approximation n-Fluid Theory

The mean density approximation for radial distribution functions plays

a central role in modern corresponding states theories. In particular, the

three most accurate mixture corresponding states theories may be obtained

using the development outlined above. The easiest of these theories to

derive is obtained by using the MDA directly in eq (27). The van der Waals

25
mixing rule, eq (35), for the size parameter is usually used which results

in the mean reduced density for the pair being given by

' 3 p . .a . .

where

= P

-.3

a . .

3 3 a . . = pa , ij '^ x' (34)

X

'MM 2 y y x.x. a . . 1

J

J J (35)

The resulting expression for the equation of state of the fluid is of the n- fluid form

M M

^MDA (P,T) =11

1 J

x.x.

1 J

a

.

-.3 Z^.(pa-^,k„T/€..),

ij X B ' ij (36)

X

-

where Z. . denotes a pure fluid compressibility factor evaluated at the

indicated reduced state conditions for the ij pair.

3.2.2 Van der Waals one-Fluid Theory

One of the most commonly used forms of conformal solution theory uses

the van der Waals one -fluid (VDW-1) approximation. It is called a one -fluid

approximation because the configurational properties of the mixture are approximated by those of a single, hypothetical pure fluid as opposed to the

MDA theory which has a separate contribution for each molecular pair. It is

also possible to develop VDW theories involving more than one fluid.

There are two methods to derive the VDW-1 model. In the first, the

distribution function of a pair in a mixture is written in terms of the

radial distribution function of a hypothetical pure fluid with potential

size parameter a and energy parameter e , X X

g^.(r,p,T;{x^),{a^^).{e^^ )) = g^(r/a^,pa^,k^T/e^)

,

(37) ij"'""''''^k"^^kl"^'=kl " ^o^''^x"'^x"^B^'^x'

where the subscript o denotes a pure fluid radial distribution function.

26
Substitution into eq (27) then yields the equation of state

VDWl o X B X

1 M M — 2 r- y y x.x. e..(7..

3 ^ ^ 11 11 ij

XX -"

(38)

Setting the term in square brackets equal to one, we obtain the "second" van

der Waals mixing rule,

M M

e <7 X — IIx^Xj ..ja^j. (39)

and the van der Waals one -fluid equation of state is

^VDWl^^'T) " ^>4'V/\^- (40)

Generally in this derivation the van der Waals mixing rule for the size

parameter, eq (35), is assumed. This assumption is not required by the

theory

.

In the second derivation of the VDW-1 theory, the first two terms of

the expansion eq (33) are set equal to zero and the remaining terms ignored.

This procedure gives the VDW-1 model as described above. This derivation,

incidentally, shows that the VDW-1 mixing rules are essentially exact to

order 1/T. Thus, if a reference fluid equation of state has only linear

dependence on the inverse temperature, the van der Waals one -fluid model

should be an excellent approximation for the composition dependence of the

equation of state.

3.2.3 Hard Sphere Expansion Theory

The hard sphere expansion theory (HSE) [1] is a conformal solution

theory which uses the accurately known properties of hard sphere mixtures to

model a mixture with a given potential function. It splits the molecular

interactions into a repulsive portion and an attractive portion. The

contribution from the attractive terms is evaluated by a one -fluid

-27
corresponding states principle using the second two terms of the series eq

(33) for mixing rules. The residual compressibility factor for the HSE model

is given by

r HS,r HS,r ^ -^ Z„^^ = Z . - Z + Z (pd-^,k_T/e ). (41) HSE mix o o X B ' X

HS r HS r The repulsive contributions Z , '^

' and Z ' may be found using hard mix o ^ ° sphere equations of state such as the Mansoori-Carnahan-Starling-Leland

(MCSL) [36] which may be written as

2 ^HS ^

I m ^ _^_jn m

^^2) mix ,^ mm. ,^ ,z - ,3 m

and the Carnahan- Starling (CS) [37],

2 3 1 + ri + ri - ri zf 5

o , ^ („,

where

3 ^ ^ n 3

rj . = 7r/5X.d../6, »7 = T V , S =7 x.d... r? = Trpd /6 (44)

1 1 11^ 'm V 1 n ^ 1 11 'o x

^ 1 1

a^ = 3Sj^S2/S^ and a^ = S^/S^

As mentioned above, the term Z is found using a one-fluid corresponding

states model and the HSE mixing rules,

M M

e d^ =11 x.x.c.d^. (45) X X

and

X X

M M

e^d^ =11 x.x.e^d^. (46)

28
It is also necessary to specify the hard sphere diameters, d, . , to be

used in the model. Several approaches are available in the literature [38-

40] . In this work, we chose the diameter as calculated by the perturbation

theory of Weeks, Chandler and Andersen [41], as implemented by Lee and

Levesque [42], as discussed in the next section.

3.2.4 Statistical Mechanical Perturbation Theory

Hard sphere perturbation theories express the properties of a given

system in terms of an equivalent system of hard spheres, whose properties

are well known. The intermolecular potential of the system of interest is

expressed as a perturbation applied to a hard sphere system. The method is

very powerful and has been used with success. Reviews have appeared

periodically [43,44]. Two important theories in this class are the

perturbation theory of Barker and Henderson [45] and that of Weeks, Chandler

and Andersen [41]. We will limit our discussion to WCA theory, especially

the extension of the WCA method to mixtures as done by Lee and Levesque

[42]. Recently, Shukla [46] has presented an improved form of first order

perturbation theory, which appears to be better than the Lee-Levesque form.

The Lee-Levesque theory is based upon WCA theory and begins by

splitting the Lennard- Jones intermolecular potential u. . into a purely

o repulsive reference portion u. . and an attractive portion w. . according to

u°.(r) = uH(r) + €.. for r < 2^/^a. . (47)

ij ij ij ij = otherwise,

w..(r) =-e.. for r < 2-^/^a.. (48)

= u. . (r) otherwise.

where 7. ' a . . is the location of the potential minimum for the LennardJones potential. Expanding the configurational Helmholtz energy about the

reference potential gives

A A° 27rp M M

II

Nk T Nk T Nk T i j

x.x.

X 1 J B B

r- w.j(r) g°j(r) dr, (49)

-29
where the superscript o refers to the reference system.

The next step is to represent the free energy of the reference system

in terms of that of an equivalent system of hard spheres. If the free energy

of the reference system is expanded about that of a system of hard spheres,

and if the hard sphere diameter is chosen so that

-u°.(r)/k-.T -u^^(r)/k_T

e -^ - e

- ^?(^>/V o

e

^J

Sij^^/^ll^ dr = 0, (50)

and if only first order terms are retained, then the configurational free

energy of the reference system is simply

= A

HS

(51)

This may be evaluated by integrating the hard sphere equation of state

developed by Mansoori et al.[36]. The result is

.HS

NkgT NkgT

= (a -1) ind-ry ) +

z m

i m Z m

(1-r? ) (1-ry ) m m

2' (52)

where a^12, a- and r? are given in eq (44) . m

° -IN/

Rather than solve the integral in eq (50) to obtain the hard sphere

diameter, Lee and Levesque developed the following approximate analytic

method. The Lee -Levesque effective hard sphere diameters are given by

dj^Cp.T) -

(1),LL BH

(53)

RH RH

where d. . and 5.. are temperature dependent (but not density dependent)

parameters that arise in Barker-Henderson perturbation theory. The

parameters 7

iterative solution of eq (53) necessary.

An extension of the Verlet and Weis [47] approximations for the Barker

. . and 7.. are functions of d. . (p,T) which makes an

30
Henderson parameters may be used,

1^"

0.3837 + 1.068/T

11

0.4293 + 1/T

ij

a . . T = -^

(54)

.BH

) . . 210.21 + 404. 6/T.

.

(55)

where a., and e.. are the Lennard- Jones size and energy potential

parameters. The composition dependence of d. . in the WCA comes from the

coefficients 7.. and 7.. which are

iJ

HS

r=d.

ij

(56)

and

(l)j /J (o)

7. .M. . /d^. = 7. .' +

dg

PY

dr

(57)

r=d. .

For the evaluation of these two parameters it is necessary to have both the

value of the hard sphere radial distribution function and its first

derivative at contact. For the hard sphere contact value, we use the MCSL

value. Using r; as in eq (44), the contact value is

MCSL I

ij

1-r? m

3S- d..

m

2 ^2

4(1- V

(58)

where the S have been defined previously in eq (44) and

.. ^ 2 d..d../(d..+d. .) iJ 11 JJ 11- JJ

(59)

For the derivative of the hard sphere RDF at contact, it is possible to use the method developed by Grundke and Henderson [48] , which involves

31-
expressing the natural logarithm of y(r) as a cubic polynomial in r. This

procedure was used by Shukla et al.[49]. We chose instead to follow the LeeLevesque procedure which expresses the exact hard sphere RDF in terms of the

Percus-Yevick solution for hard spheres. The phase of the Percus-Yevick RDF

is corrected, according to Verlet-Weis [47], by using an effective density

em m

(60)

This is equivalent to using effective diameters given by

d .. = d.. (»7 /r? ) eij ij e' m

1/3

(61)

To bring the Percus-Yevick core values into better agreement with the exact

hard sphere RDF, a short-range function is added:

HS HS.PY

g.,(r,r; ) = g. . (r,r? ) + {a../r)e

-[^. .(r-d. .)] cos [5. .(r-d..)] (62)

The coefficient a. . is chosen to reproduce the MCSL contact value

MCSL

a../d..=g.. (r?)

r=d. .

HS.PY

(63)

r=d. ./d .

Because d, . > d . ., the value of the PY RDF at a point outside the core is

required. The coefficient /3. . is chosen empirically according to

/9..d..

24 a. ./d..

HS.PY

"e Sij ("e^

r=d

eij

(64)

The use of eqs (58) -(64) in eq (57) leads to

HS , PY

afl)d../H , = lo[^? - a../d..- a. .p.. + d. . ^-^^-^^

IJ ij' 11 ij ij' ij ij^ij IJ ^^ r=d..

(65)

In order to obtain the derivative at r = d. .

, a Taylor series expansion is

made about the point r = d . . and yields

eij ^

32-
HS.PY HS.PY

(n,)

dr

dg..

(''e)

dr

+ (d. .-d ..)

2 HS.PY

d g..

1.1 ("e'

dr

(66)

r=d. . r=d

eij

r=d

eij

where higher order terms have not been retained. The derivatives of the

Percus-Yevick RDF at d . . need to be evaluated. The Percus-Yevick g(r) could

eij ^' be evaluated using Perram's [50] algorithm and the derivatives computed

numerically; however, we have chosen a different approach. Although c(r) and

g(r) for hard spheres are discontinuous at contact, the difference between

them is continuous and twice differentiable [51] giving

dr

r=d. .

-dc"^(r)

1-1 dr

(67)

r=d

+

and

^2 HS, ,

dr

r=d.

ij

^2 HS, , •d c..(r)

Ll_

dr

(68)

r=d!.

ij

In our calculations the derivatives of the Percus-Yevick direct

correlation functions are found using the solution for binary hard sphere

mixtures found by Lebowitz [52], and extended to a general M component

mixture by Hoshino [53]. Hoshino gives the direct correlation functions for

Percus-Yevick hard spheres as

HS.PY

c.. (r) 11

HS,PY

c.. (r)

ij

a. + b .r +^r~

1 1

a,

1

a. . + b. .r + ^r + f . ./r

ij ij iJ

for r < d,11 (69)

for r < A.

.

ij

for A. . < r < d.

.

ij iJ

where

-33
HS , PY HS , PY

c. (r) = c. (r), d.. = (d..+d..)/2, a.. = (a.+a.)/2,

A.. = (d..-d..)/2, b.. = (b.+b.)/2,

ij ' 11 jj'^ • ij ^ 1 j'^ '

and the d. . are the hard sphere diameters. The remaining coefficients are found using

a^= [1/(1-V1 +«d.. +bd2^ + ^cd3^. (70)

\ - - a/2 - bd^^.

I cd2^,

i- >, ( f„ + 2(3r,r2 - r„v + (^% " ^^1^2% ^ 'f2> ' (i-%'"* •

a =

3^2

2 ' m

b.^X .

'^'

2 3 ' m m

35-^ i8r3^r2 27^2

C = X + ;r +

2 3 4 ' m m m

and

r = TrpS /6 n

'^ n'

along with eq (44). In our computations, since we want a Verlet-Weis

"cor:

(60)

"corrected" Percus-Yevick value, we use the effective rj as given by eq

The computation of the equivalent hard sphere diameters is an iterative

process using eq (53). We used the Barker -Henderson diameter as a first

guess. Also, we used the arithmetic mean for d..-, rather than solve for it

independently. Typically 7-10 iterations were necessary to obtain

convergence to one part in 10 . Once the proper diameter has been obtained, the configurational

-34-
Helmholtz free energy is evaluated using (49) and (52). The radial

distribution function of the reference system, g. . (r) , which appears in the

integral in eq (49) is approximated by Lee and Levesque as

g,. (r) .

-u.. (r)/k^T

HS , , y,. (r),

(71)

where

HS , , y. . (r)

.u..»^r)/k3f

HS, , gij(r) (72)

With diameters chosen according to eq (50) and using the Verlet-Weis

correction for the Percus-Yevick hard sphere g(r) , eq (49) becomes

LJ

Nk^T

(73)

27rp M M 3 + y y x.x.d

NkgT NkgT 7 7 ^ 2 ,A i j iJ J

* 9 * PY.HS ^ ^

(S ) w..(S d../a..) g.. (S ,ri ) dS

where S = r/d. . ; w. . is given in eq (48). We computed the Percus-Yevick

hard sphere RDF's according to Perram's [50] algorithm. Typically, the two

terms on the right hand side of eq (73) are of the same order of magnitude,

but of opposing signs.

In order to compute thermodynamic properties, we used the thermodynamic

relationships

pk^T

and

a(A''°''/NkgT)

dp + 1 (74)

U

con

Nk^T

a(A''°''/NkgT)

aT

(75)

where the superscipt con denotes a configurational quantity and the

derivatives were computed numerically using a five -point Lagrange formula.

The results of these computations are given in section 4.

35
3.3 Modified Mean Density Approximation

The MDA, eqs (34) -(36), works well for systems where the molecules are similar in size, for size ratios up to about 1.1 [49]. At larger size ratios

the approximation begins to fail. In simulation studies [54] for model

Lennard- Jones 6-12 systems with a size ratio equal to two, two major

deficiencies of the MDA were found:

1) The MDA consistently underestimates the height of the

first neighbor peak in the RDF for the small molecule

pair.

and 2) The MDA fails to predict the proper location of the

second neighbor peak.

These results are illustrated in figures 6 and 7, which show the RDF's from

simulation data and the RDF's predicted with the MDA for LJ mixtures with a

* 3 * * size ratio of two. In these figures, b p = po^^ , T = k„T/e^, and R .. = r/ . r ^ 11 ' B

' 11 ij ' a . . In figure 6 (which has a concentration of 5 percent of the small

molecule), the peak height for the small-small pair is significantly

underestimated by the MDA. Also, the MDA predicts the second peak to occur

at a reduced distance of two, while the simulations place the peak almost at

three. This discepancy occurs because the location of the second peak is

related to the size of the molecule most likely to be found in between the

pair of molecules under observation. In a pure fluid, the molecules are all

of the same size and thus the second neighbor peak will always occur at a reduced distance, r/a, of approximately two. In a mixture, when the

concentration of one of the molecules is small, packing effects occur because the molecules have different sizes. For the case of figure 6, the

space between two small molecules is most likely to be filled by a large

molecule, because these are in the greatest concentration. The second peak

of the small-small distribution function then occurs at a reduced distance

of r/c^i-i = ^"^1 1"*"^??^/^!! ^ (l+2)/l = 3 . In figure 7, there is a very large

concentration of small molecules, so that the second peak of the large -large

pair actually occurs at approximately r/a = {a -^a ) fa ^^^ = (l+2)/2 = 1.5.

Since the MDA uses only pure fluid radial distribution functions, it cannot

predict this type of behavior.

36
Radial Distribution Functions for T* = 2.00

x^ = 0.05 ^zz/^n = ^-00 P' = 0,0980

w

-

o

- iT)

O

o\ c

• \

ino

- o

1

1

0.0 0.5 1,0 1.5 2.0 2.5 3.0 3.5 4.0

wo

o y^

«no- 1 oo ^ , i

0.5 1.0 1.5 2.0 2.5 3 3.5 4.0

00

w

o

in

o

; ^

1 K ,^<s«to^.

%**.^'

"^""^

inO'

(a o 1 Q

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

Figure 6. Comparison of simulation emd MDA radial distribution

functions for x. = 0.05. Circles, MD simulation data,

this work; Dashed line, MDA.

-37-
0.0

Radial Distribution Functions for T* = 2.00

x^ = 0.95 ^zaAu = 1-00 p' = 0.2980

o.s

wifl

1 »

1 *

1 \

SJ ° ^

\

lb -" p

--^xa^.....-^

dV o

d ., P

1.0 1.5 2.0 2.5 3.0 3.5 4.0

functions for x. = 0.95. Circles, MD simulation data.

Figure 7. Comparison of simulation and MDA radial distribution

functions for x. = 0.95.

this work; Dashed line, MDA.

-38-
In our simulation studies, we also observed that the MDA tracks energy

effects reasonably well for mixtures possessing differences in energy

parameters. This is illustrated in figure 8 which shows the large -large RDF

as a function of reduced distance for four different values of the energy

ratio. The composition is fixed at x^ =0.75, the reduced temperature is

two, and the size ratio is two for all of the RDF's shown. As illustrated in

figure 8, the MDA does a good job of predicting the RDF even when the energy

ratio is changed by a factor of four.

Figure 9 shows the deviations between the RDF's of hard sphere mixtures

and the RDF's predicted using the MDA for hard spheres. It also shows the

deviations between the RDF's of Lennard- Jones mixtures and the RDF's

predicted using the MDA for U mixtures. The figure demonstrates that hard

spheres show essentially the same behavior (excepting the region nearest

contact) as Lennard-Jones mixtures. This suggests that the physics of

mixtures which are lacking in the MDA are found in a simple mixture of hard

spheres. We propose the following correction to the MDA:

, . MDA, . , HS, . ,-,,. g^jCr) =

g^j (r) + Ag^j(r), (76)

HS , V - HS , . - <(^) = HS ,

, HS,, , ^- ^ ^ -ij (^^)

gij(-ij) - 1 g, (o^) - 1

= for r < a. .

We scaled the correction term, eq (76), so that it is zero at contact

in order to prevent discontinuity in the distribution function at contact.

HS HS

The Percus-Yevick hard sphere f contact values, g.toj^j. (o..) and g (<7 ) , are

ij o x used as the scaling factors. (The Carnahan- Starling [37] and

Mansoori-Carnahan-Starling-Leland [36] contact values could also be used).

The Percus-Yevick hard sphere contact values were obtained from the Wertheim

[55] or Thiele [56] and Lebowitz [52] solutions to the Percus-Yevick

equation:

HS , PY 1 3x o. .o.

g^. (cT..) = + 2 ^^^^

^ 'm m' ^11 J J

-39-
Radial Distribution Funciions for T' = 2.00

X, = 0.25

o ^»^^u = 0-50 p' = o.io^o

h^

i ^^*xnot*>^

'-'

'

ino-o

o.

i

0.0 0.5 l.O IS 2.0 2.5 30 35 40

«5

1

£„/£„ = 1.00 p' = 1170

^:POOo^

ajumjpjiiLicsggwmccoae- ^^*X«i^

5 10 I 5 2.0 2.5 3.0 3.5 4

£„/£„ = 1.50 p' = 1260

adA

o^ ^jg^aoogy.^^- y. yy^i ^

»arar»i'rtT«anwri I J ji I f nnmnf

° '«

^^>«^^

0.0 0.5 10 1.5 2.0 2.5 3.0 35 40

4

u'. d

; I

2.00 p* = 0.1350

• '««^^ ^soc^^**

0.0 0.5 1.0 1.5 2.0 R*

2.5 3.0 3.5 4.0

Figure 8

. Comparison of 2-2 pair radial distribution function for

x^ = 0.25 at different energy ratios. Circles, MD simulation

data, this work; Dashed line, MDA.

40
T* = 2.00 X, = 0.50 e^/c, = 1.00 p* = 0.1540

3.0

3.0

Figure 9. Comparison of {g°^^ - g°***} for Lennard-Jones 6-12

mixtures and hard sphere mixtures.

-41-
and

HS.PY 1 + r? /2

(1 - r, )^

where

3

r} = npS^/6, X = 7rpS^/6, ri = npo /6 (80) m 3 m 2 x x

and

M

S = y x.a". n ^ 1 11

1

We also propose an empirical prescription for a , which has the effect

of changing the mean density. There are no theoretical reasons that one must

use the van der Waals mixing rule, eq (35), for the size parameter. We used

the following empirical mixing rule:

M MM

ax4t'iii4^^iiii = .- y x.CT.. + 7 J y x.x.a.. (81)

with

a. . = (a. . + a. .)/2.

-42
4.0 Comparisons of the Theories

In this section we compare the results from the modified MDA with

simulation results and with the results of the various mixture theories

discussed in section 3. First, we examine the radial distribution functions.

Then we go on to compare predictions of the pressure, internal energy, and

excess properties.

4.1 Radial Distribution Functions

In order to compute the radial distribution function using the MMDA, eqs

(76) -(81), we used simulation data for the pure radial distribution

MDA functions, (evaluated at the reduced conditions for the ij pair, g. . in

'J eq (76)). An alternative would be to use an explicit equation for the RDF of

a Lennard-Jones fluid such as Goldman's [57]. For the hard sphere correction

term in eq (76) we used the Percus-Yevick solution for hard sphere RDF's,

following the numerical computation scheme of Perram [50].

We computed the RDF's using the MMDA for all of our simulation state

points and compare them graphically in Appendix B. The open circles are the

results of our MD simulations and the solid line is the MMDA. We found that

the radial distribution functions computed with the modified MDA, eqs (76)-

(81) , agreed well with the simulation data and were in much better agreement

with the simulation data than the original MDA. For example, Figures 10 and

11 show the same two mixtures that were presented in figures 6 and 7 , but

with the modified MDA (MMDA) . The modified MDA predicts the first peak

height better than the original MDA, and also more correctly represents the

"packing " effects of the mixture.

4.2 Equation of State

In order to compute the pressure using the MMDA, we use

MDA p=p+Ap^ ^ HS .p^v (o2)

with the pressure equation [58],

43-
Radial Distribution Functions for T' = 2.00

x^ = 0.05 ^2z/^n = 1-00 p' = 0.0980

0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

3.0 3.5 4.0

Figure lo. Comparison of simulation and MDA radial distribution

functions for x^ = 0.05. circles, MD simulation data, this

work; Dashed line, MDA; solid line, MMDA.

-44-
Radial Distribution Functions for T* = 2.00

X, = 0.95 £„/£j^ = 1.00 p* = 0.2980

Figure 11. Comparison of simulation and MDA radial distribution

functions for x^^ = 0.95. Circles, MD simulation data, this

work; Dashed line, MDA; solid line, MMDA.

-45-
= p

27r 2 ^ ^

p y y x.x. k^T Sk^T i j

so that

HS -27r M M - Ap = p y y x.x.a..e..

3 ^ t j " J "J ^J

du(r)

dr

g.j(r) r^ dr (83)

du (R ) HS ,*^ r„*,3 ,„*

dR— AgV: (R ) [R ]- dR . (84)

In this equation R is the dimensionless distance r/a . . and we are using the

Lennard- Jones potential, so

* * * -12 * -6 u (R ) = 4 [(R ) ^^ - (R ) ^]. (85)

We used the Percus-Yevick solution for the hard sphere distribution

functions, using the algorithm given by Perram [50]. The trapezoidal rule was used for the integrations, and an upper limit on the integrals was taken

as R =4.0.

Tables 5-7 show the comparisons of calculated pressures with our molecular dynamics simulation data. The models used in the comparisons are

the MMDA, VDW-1, MDA and WCA. The Lee-Levesque WCA perturbation theory was implemented as described in section 3.2.4. The size ratio is two for all

data, the energy ratios range from 0.5 to 3.0, and three different

temperatures were studied. The use of the MMDA improved the results

considerably over the van der Waals one -fluid and the original MDA theory;

in some cases the improvement was an order of magnitude. The MMDA also gave

results comparable to LL-WCA theory. All of the theories have a bias toward

underpredicting the pressure. The poor results of both WCA and MMDA at T* =

1 can be attributed in part to the fact that many of the points in the table

are either metastable liquids or may even be solid, as can be seen by

observing the radial distribution function plots in Appendix B.

Table 8 shows comparisons of the MMDA pressure with simulation data

from Hoheisel et al. [8]. The size ratio ranges from 1.05 to 2.0 and the

energy ratio ranges from one to 4.5. The temperature is approximately

constant at 200 K, The MMDA gave significant improvement over the MDA and

VDW-1 theories for this data set, especially when the size ratio is greater

than 1.55. The highest deviations are seen at the highest size and energy

-46-
ratios.

Table 9 gives further comparisons of the pressure computed with the

MMDA with simulation data and theory. In this table, the values for the

simulation data are taken from Hoheisel et al. [8] while the model

predictions are taken from Shukla et al . [49]. They use a slightly different

form of the WCA perturbation theory, in which the Grundke -Henderson [48]

procedure is used to compute the derivatives of y at contact. The MMDA

results were superior to VDW-1, MDA and HSE theories. The MMDA was slightly

better than WCA perturbation theory at the highest size ratio, while for the

lower size ratios WCA was slightly better.

47
Table 5. Comparison of Predicted and Simulated Pressures

for Lennard-Jones Mixtures with T = 1

^22/^ 11 ^1

3

^^11 P(bar) %error %error %error %error

MD VDW-1 MDA MMDA WCA

0.5 0.05 0.1265 216.7 55.3 55.1 60.2 55.9

0.5 0.10 0.1210 224.9 -5.4 -5.6 0.4 -3.1

0.5 0.25 0.1386 213.3 -11.8 -12.5 2.5 -4.6

0.5 0.50 0.1900 220.4 -21.7 -22.8 8.2 -8.9

0.5 0.75 0.3030 219.8 -28.2 -29.8 22.0 -16.9

0.5 0.90 0.4662 175.0 -28.1 -30.1 38.8 -30.9

0.5 0.95 0.5825 199.9 -24.9 -26.6 29.0 -34.6

1.0 0.05 0.1225 238.2 -5.7 -5.7 0.8 0.5

1.0 0.10 0.1265 218.5 -14.6 -14.6 -1.7 -2.3

1.0 0.25 0.1466 213.3 -32.4 -32.4 -1.3 -4.0

1.0 0.50 0.2000 204.6 -56.9 -56.9 3.1 -8.7

1.0 0.75 0.3190 208.4 -71.6 -71.6 17.2 -16.3

1.0 0.90 0.4939 213.2 -60.9 -60.9 28.5 -22.5

1.0 0.95 0.5980 203.1 -45.2 -45.2 23.0 -26.5

1.5 0.05 0.1280 143.1 69.5 69.4 90.7 82.6

1.5 0.10 0.1310 207.5 -29.4 -29.6 -5.2 -6.6

1.5 0.25 0.1520 200.8 -64.^ -65.3 -9.1 -7.7

1.5 0.50 0.2100 220.4

2 -100.9 -7.3 -8.2

1.5 0.75 0.3380 276.8 -105.2 4.2 -8.9

1.5 0.90 0.5080 212.2 -90.1 -91.3 21.5 -10.9

1.5 0.95 0.6125 214.2 -57.4 -58.3 19.1 -12.8

bias, % -27.6 -35.3 16.4 -4.5

average abso lute error % 40.7 47.1 18.8 17.8

^ ^* = V/^11' ^ll^B = 120 K,

program railed to converge

a^ - = 0.3405 nm, ^22/^^11 = 2.00

48
Table 6. Comparison of Predicted and Simulated Pressures

for Lennard- Jones Mixtures with T =2

^22/ 11 ""l

3 ^'^ll

P(bar) %error %error %error %error

MD VDW-1 MDA MMDA WCA

0.5 0.05 0.0910 212.9 -2.7 -2.7 -1.6 -0.5

0.5 0.10 0.0945 212.8 -3.5 -3.6 -1.3 -0.7

0.5 0.25 0.1070 213.6 -5.7 -6.1 -0.9 -1.5

0.5 0.50 0.1371 213.7 -7.1 -7.7 -0.4 -2.9

0.5 0.75 0.1901 210.0 -4.1 -4.7 -0.5 -3.8

0.5 0.90 0.2470 207.3 -0.8 -1.1 -1.6 -3.7

0.5 0.95 0.2742 208.0 -0.4 -0.6 -1.9 -3.5

1.0 0.05 0.0979 214.0 -3.9 -3.9 -1.4 -2.9

1.0 0.10 0.1019 213.7 -6.2 -6.2 -1.3 -3.0

1.0 0.25 0.1170 218.7 -12.1 -12.1 -0.9 -3.5

1.0 0.50 0.1530 220.4 -17.3 -17.3 -0.4 -5.0

1.0 0.75 0.2180 218.1 -12.1 -12.1 0.0 -5.7

1.0 0.90 0.2800 214.9 -3.9 -3.9 -1.9 -5.8

1.0 0.95 0.2981 211.9 -1.7 -1.7 -2.1 -4.9

1.5 0.05 0.1050 212.0 -5.8 -5.8 -1.2 -2.9

1.5 0.10 0.1095 212.3 -10.2 -10.3 -1.3 -2.9

1.5 0.25 0.1260 217.5 -21.7 -22.0 -1.7 -3.5

1.5 0.50 0.1650 208.5 -31.3 -31.7 -0.2 -4.4

1.5 0.75 0.2435 228.3 -24.2 -24.7 1.2 -5.1

1.5 0.90 0.3058 213.0 -7.1 -7.3 -2.0 -6.5

1.5 0.95 0.3215 216.6 -3.1 -3.2 -2.5 -6.2

2.0 0.05 0.1113 214.3 -9.7 -9.9 -2.2 -2.7

2.0 0.10 0.1162 215.9 -17.2 -17.6 -2.9 -2.8

2.0 0.25 0.1338 218.0 -35.4 -36.7 -3.8 -3.2

2.0 0.50 0.1772 211.6 -51.1 -52.5 -1.0 -4.2

2.0 0.75 0.2571 201.4 -38.5 -40.2 3.7 -5.8

2.0 0.90 0.3315 214.5 -12.4 -13.2 -2.7 -9.0

2.0 0.95 0.3387 215.0 -4.3 -4.5 -2.8 -7.9

bias ,% -12.6 -13.0 -1.3 -4.1

average abso lute error % 12.6 13.0 1.6 4.1

^ T* = V/e^^, 6^^/kg = 120 K, 11

0.3405 ran, ^22/^11 = 2.00

49
Table 7. Comparison of Predicted and Simulated Pressures

for Lennard- Jones Mixtures with T = 3

'11/' 11 ^1

3 ^'^ll

P(bar) %error %error %error %error

MD VDW-1 MDA MMDA WCA

0.5 0.05 0.0757 212.5 -2.1 -2.2 -1.6 1.7

0.5 0.10 0.0782 212.4 -2.5 -2.6 -1.4 1.6

0.5 0.25 0.0868 213.2 -3.4 -3.6 -1.3 0.9

0.5 0.50 0.1053 212.2 -3.2 -3.6 -1.2 -0.1

0.5 0.75 0.1312 209.7 -1.4 -1.7 -1.4 -0.5

0.5 0.90 0.1509 209.2 -0.4 -0.6 -1.6 -0.3

0.5 0.95 0.1580 208.8 -0.0 -0.2 -1.0 0.3

1.0 0.05 0.0813 215.4 -3.7 -3.7 -2.6 -2.1

1.0 0.10 0.0844 216.6 -4.6 -4.6 -2.4 -2.0

1.0 0.25 0.0937 213.8 -6.9 -6.9 -2.6 -2.4

1.0 0.50 0.1168 219.9 -7.0 -7.0 -2.1 -2.4

1.0 0.75 0.1432 111 .k -9.7 -9.7 -8.6 -8.4

1.0 0.90 0.1590 210.4 -0.8 -0.8 -1.5 -0.3

1.0 0.95 0.1626 209.9 -0.4 -0.4 -1.2 0.1

1.5 0.05 0.0885 217.2 -4.7 -4.8 -2.6 -3.5

1.5 0.10 0.0921 220.0 -6.8 -6.8 -2.7 -3.4

1.5 0.25 0.1045 226.8 -11.1 -11.2 -2.6 -3.1

1.5 0.50 0.1312 231.4 -12.3 -12.5 -2.7 -3.2

1.5 0.75 0.1601 218.0 -4.3 -4.4 -1.6 -1.9

1.5 0.90 0.1672 211.7 -1.1 -1.2 -1.6 -0.4

1.5 0.95 0.1666 210.4 -0.6 -0.6 -1.1 0.2

2.0 0.05 0.0955 218.1 -6.0 -6.1 -2.3 -4.3

2.0 0.10 0.0991 216.5 -9.4 -9.7 -2.4 -4.1

2.0 0.25 0.1100 200.1 -17.3 -17.9 -3.4 -4.4

2.0 0.50 0.1434 230.7 -19.6 -20.5 -3.1 -3.6

2.0 0.75 0.1738 213.0 -6.3 -6.7 -1.8 -3.1

2.0 0.90 0.1759 212.5 -1.1 -1.4 -1.4 -0.4

2.0 0.95 0.1705 210.7 -0.6 -0.8 -1.1 0.2

3.0 0.05 0.1071 221.0 -9.8 -10.4 -1.7 -3.4

3.0 0.10 0.1109 210.2 -18.9 -20.1 -3.2 -4.2

3.0 0.25 0.1264 210.5 -37.3 -39.7 -4.2 -2.9

3.0 0.50 0.1636 216.9 -44.9 -48.6 -2.3 -1.2

3.0 0.75 0.2130 220.6 -17.4 -19.6 -2.8 -3.8

3.0 0.90 0.1952 214.8 -1.8 -2.6 -1.5 -1.6

3.0 0.95 0.1783 211.7 -0.7 -1.3 -1.2 0.2

bias, % -7.9 -8.4 -2.2 -1.9

average abso lute error, % 7.9 8.4 2.2 2.2

1 J"

T = V/e11' '\\^\ = 120 K, -11 = 0- 3405 nm, a22/-n = 2.oo

50
Table 8. Equation of State Comparisons for Binary Equimolar

Lennard- Jones Mixtures with Varying Size Ratios

^"22/11 ^22/^

3

11 ^'^x T(K) P(bar)

MD

%error

VDW-1

%error

MDA

%error

MMDA

%error

WCA

1.05 1.00 0.90000 200.5 4788.0 -0.1 -0.1 0.0 4.2

1.05 1.50 0.90000 201.8 4960.0 0.1 -0.2 -0.1 2.4

1.05 2.50 0.90000 202.4 5045.0 1.9 0.3 0.4 1.5

1.05 3.50 0.90000 203.0 4991.0 4.3 1.0 1.1 1.3

1.05 4.50 0.90000 201.6 4798.0 7.4 2.0 2.2 1.4

1.30 1.50 0.50000 201.1 701.7 -1.6 -1.8 -0.8 1.6

1.30 2.50 0.50000 197.5 619.0 -4.2 -5.3 -4.0 -1.9

1.30 3.50 0.50000 199.5 528.0 -2.7 -5.0 -3.2 -1.1

1.30 4.50 0.50000 201.5 444.0 -2.6 -6.4 -4.1 -2.7

1.30 1.50 0.36241 199.2 392.1 -1.4 -1.5 -1.1 0.5

1.30 4.50 0.36241 203.5 254.9 0.1 -1.9 -0.4 -1.7

1.30 1.50 0.47113 197.6 616.2 -2.5 -2.7 -1.9 0.3

1.30 4.50 0.47113 199.3 381.4 -2.4 -5.7 -3.6 -3.2

1.30 1.50 0.57985 198.7 968.6 -3.1 -3.3 -1.9 0.7

1.30 4.50 0.57985 206.4 680.8 -2.4 -7.2 -4.1 -0.6

1.30 1.50 0.68858 201.3 1531.0 -3.4 -3.6 -1.6 1.1

1.30 4.50 0.68858 202.9 1153.0 -1.1 -6.4 -2.4 1.6 ,

1.55 1.00 0.90000 200.5 2484.0 -6.4 -6.4 0.6 3.5

1.55 1.50 0.90000 200.0 2618.6 -8.0 -8.2 -0.2 1.8

1.55 2.50 0.90000 201.5 2779.9 -9.9 -11.1 -1.4 1.3

1.55 3.50 0.90000 199.8 2771.9 -10.4 -13.0 -1.4 3.3

1.55 4.50 0.90000 203.8 2814.0 -11.5 -15.5 -2.3 3.7

1.80 1.00 0.90000 204.2 1893.0 -10.2 -10.2 1.2 3.8

1.80 1.50 0.90000 202.8 2022.8 -13.0 -13.2 -0.1 1.5

1.80 2.50 0.90000 201.8 2147.0 -15.7 -16.8 -0.7 2.2

1.80 3.50 0.90000 201.1 2223.7 -19.2 -21.4 -2.7 2.4

1.80 4.50 0.90000 206.8 2292.0 -21.1 -24.4 -3.2 4.5

1.80 1.50 0.80000 204.6 1336.0 -10.8 -11.0 0.2 1.8

1.80 2.50 0.80000 197.6 1324.0 -15.4 -16.5 -2.2 0.5

1.80 3.50 0.80000 200.9 1307.0 -17.7 -20.1 -3.0 1.8

1.80 4.50 0.80000 203.4 1264.8 -20.5 -24.4 -4.4 3.0

2.00 1.50 0.42518 198.3 206.8 -5.6 -5.7 -2.2 -0.4

2.00 4.50 0.42518 203.6 109.1 -7.1 -9.3 -2.0 -2.5

2.00 1.50 0.51966 196.0 302.8 -6.6 -6.7 -0.4 1.4

2.00 4.50 0.51966 200.1 174.8 -18.0 -21.4 -7.6 -3.6

2.00 1.50 0.61414 200.3 474.7 -10.0 -10.2 -1.0 0.8

2.00 4.50 0.61414 204.4 321.4 -21.2 -25.0 -4.7 1.7

2.00 1.50 0.70863 199.2 711.0 -12.1 -12.3 -0.1 1.4

2.00 4.50 0.70863 201.5 582.0 -25.2 -28.9 -4.8 3.0

e /k = 34 K, a = 0.2850 nm, a from eq (35)

data for MD, VDW-1 and MDA taken from ref[8]

51^
Table 9. Equation of State Comparisons for Binary Equimolar

Lennard-Jones Mixtures with Varying Size Ratios

3 po

X

%error %error %error %error %error

^^22/^11 ^22/^1 VDW-1 MDA HSE WCA MMDA

1.00 1.50 0.9 -0.2 -0.4 5.8 1.4 -0.3

1.00 2.50 0.9 2.4 0.8 5.6 0.8 2.2

1.00 4.50 0.9 8.2 2.7 5.8 0.8 1.5

1.05 1.50 0.8 -0.5 -0.7 4.6 0.9 -0.1

1.05 2.50 0,8 0.8 -0.7 4.1 -0.1 -2.1

1.05 3.50 0.8 3.7 0.2 4.9 0.3 -1.8

1.05 4.50 0.8 6.1 0.0 4.9 -0.3 -0.5

1.30 1.00 0.9 -2.5 -2.5 4.7 1.3 -1.6

1.30 1.50 0.9 -3.5 -3.8 2.0 1.1 -1.3

1.30 2.50 0.9 -2.7 -4.2 1.5 -1.0 2.1

1.30 3.50 0.9 -2.0 -5.0 1.1 -0.2 -2.3

1.30 4.50 0.9 -1.2 -6.0 0.6 -0.5 -1.1

1.30 1.50 0.8 -3.4 -3.6 2.3 -0.9 0.4

1.30 2.50 0.8 -3.3 -4.8 1.7 -1.1 -0.6

1.30 3.50 0.8 -2.1 -5.4 2.4 -0.9 -0.9

1.30 4.50 0.8 -1.0 -6.3 3.0 -0.8 -2.5

1.30 1.50 0.6886 -3.4 -3.6 2.2 -1.1 -2.3

1.30 4.50 0.5000 -2.5 -6.5 3.2 -4.7 -5.7

1.55 1.50 0.8 -8.2 -8.4 -2.8 -6.1 -1.9

1.55 2.50 0.8 -8.9 -10.2 -3.5 -3.8 1.3

1.55 3.50 0.8 -9.5 -12.3 -3.7 -2.9 -4.9

1.55 4.50 0.8 -9.2 -13.8 -2.9 -0.7 -3.1

2.00 1.00 0.9 -13.7 -13.7 -15.1 -6.8 -1.2

2.00 1.50 0.9 -17.0 -17.2 -27.5 -9.5 0.5

2.00 2.50 0.9 -20.8 -21.8 -16.4 -9.2 -1.2

2.00 3.50 0.9 -25.7 -27.7 -23.3 -8.7 -2.4

2.00 4.50 0.9 -29.5 -32.4 -8.4 -7.5 -4.5

2.00 1.50 0.8 -14.9 -15.1 -12.4 -8.3 -1.1

2.00 2.50 0.8 -19.8 -20.8 -18.0 -9.4 -0.3

2.00 3.50 0.8 -23.2 -25.3 -21.5 -9.0 -4.7

2.00 4.50 0.8 -27.1 -30.5 -25.4 -7.7 -8.1

2.00 1.50 0.7086 -12.2 -12.2 -5.3 -5.1 0.4

2.00 4.50 0.4252 -7.3 -9.1 8.3 -8.3 -6.7

bias,% -7.7 -9.7 -3.6 -3.3 -1.7

average absolute error,

%

9.0 9.9 7.7 3.7 2.2

1

€^-,/k = 34 K, a = 0.2850 nm, a from eq (35)

data for MD from ref[8]; data for^HSE, VDW-1 and MDA from [49]

52-
4.3 Internal Energy

The energy equation [58],

3 MM

U = - Nk T + 27rNp I I x x

2 1 J

-^ u. . (r) g. . (r) r dr (86)

may be used to compute the internal energy using the radial distribution

functions. The MMDA hard sphere correction is implemented by

U - U«"^* + AU«5

and

(87)

AU

HS

Nk^T

2np M M

V ^ J

y y x.x. e

,

.a .

.

^ ^ 1 J ij ij

HS * * * * 2 * Ag"j(R ) u (R ) [(R )r dR , (88)

where the Ag term is given by eq (77) , and u (R ) is given in eq (85) . The

integrations were performed using the trapezoidal rule, with an upper limit

chosen as R =4.0. We again used the Percus-Yevick solution for the hard

sphere distribution functions, following the algorithm given by Perram [50].

Tables 10-12 show the residual, dimensionless internal energy, U /Nk^T,

computed with the MMDA in comparison to the value found from the molecular

dynamics simulation runs and the predictions of VDW-1, MDA and CWA theories.

Here the CWA theory is the Lee-Levesque version described in section 3.2.4.

Deviations from the simulation values are expressed as percentages, where

here we define percent error = 100 (calculated - simulation) /simulation. The

MMDA gives slightly better results than the MDA, VDW-1, and CWA. The

improvement achieved with the use of MMDA is not as great for the internal

energy as it was for the pressure.

53
Table 10. Comparisons of Model Predictions for the Dimensionless

Residual Internal Energy for Lennard-Jones Mixtures at

T = 1

3 ^^11

U^'/Nk T

MD

^ %error %error %error %error

'11/' 11 ^1 VDW-1 MDA MMDA CWA

0.5 0.05 0.1265 -2.542 2.2 2.3 1.4 1.1

0.5 0.10 0.1210 -2.591 -0.1 -0.0 -0.7 -0.8

0.5 0.25 0.1386 -2.732 -1.2 -1.0 -1.9 -1.7

0.5 0.50 0.1900 -3.092 -4.3 -4.0 -4.3 -3.4

0.5 0.75 0.3030 -3.728 -7.7 -7.4 -6.4 -5.4

0.5 0.90 0.4662 -4.372 -6.7 -6.5 -5.1 -4.7

0.5 0.95 0.5825 -4.783 -4.2 -4.1 -3.2 -3.1

1.0 0.05 0.1225 -6.158 0.1 0.1 -0.2 -0.5

1.0 0.10 0.1265 -6.039 0.3 0.3 -0.3 -0.4

1.0 0.25 0.1466 -5.848 -0.0 -0.0 -1.0 -0.7

1.0 0.50 0.2000 -5.570 -1.9 -1.9 -2.6 -1.5

1.0 0.75 0.3190 -5.416 -4.2 -4.2 -4.2 -2.5

1.0 0.90 0.4939 -5.383 -4.0 -4.0 -3.6 -2.2

1.0 0.95 0.5980 -5.342 -2.8 -2.8 -2.4 -1.8

1.5 0.05 0.1280 -10.526 -3.9 -3.9 -4.4 -3.4

1.5 0.10 0.1310 -9.720 0.7 0.7 0.0 1.7

1.5 0.25 0.1520 -9.091 0.^ 0.5 -0.5 0.6

1.5 0.50 0.2100 -8.113

2 -0.9 -2.0 -0.2

1.5 0.75 0.3380 -7.110 -2.6 -3.4 -1.1

1.5 0.90 0.5080 -6.208 -2.9 -3.0 -3.0 -1.5

1.5 0.95 0.6125 -5.836 -2.2 -2.2 -2.1 -1.3

bias

% -2.2 -2.1 -2.4 -1.6

average abso lute error % 2.6 2.5 2.5 1.9

T = kgT/e^^, hl/^B ^ ^^° ^'

''ll = 0-3405 nm,^22/''ll = ^.00

convergence failure in program

54-
Table 11. Comparisons of Model Predictions for the Dimensionless

Residual Internal Energy for Lennard- Jones Mixtures at

T = 2

3

u'^/Nk T

MD

^ %error %error %error %error

^22/ 11 ^1 VDW-1 MDA MMDA CWA

0.5 0.05 0.0910 -0.848 0.5 0.5 0.4 8.9

0.5 0.10 0.0945 -0.861 0.4 0.4 0.2 6.5

0.5 0.25 0.1070 -0.899 -0.4 -0.4 -0.1 4.5

0.5 0.50 0.1371 -0.959 -2.6 -2.6 -0.6 1.0

0.5 0.75 0.1901 -1.005 -4.6 -4.6 -1.1 -3.3

0.5 0.90 0.2470 -1.008 -3.7 -3.7 -0.8 -6.5

0.5 0.95 0.2742 -0.999 -2.3 -2.3 -0.4 -7.5

1.0 0.05 0.0979 -2.247 -0.2 -0.2 -0.3 -1.3

1.0 0.10 0.1019 -2.212 -0.3 -0.3 -0.4 -0.5

1.0 0.25 0.1170 -2.116 -0.8 -0.8 -0.9 -1.3

1.0 0.50 0.1530 -1.920 -2.3 -2.3 -1.5 -2.1

1.0 0.75 0.2180 -1.653 -3.8 -3.8 -1.7 -3.5

1.0 0.90 0.2800 -1.361 -3.2 -3.2 -1.2 -5.4

1.0 0.95 0.2981 -1.193 -1.8 -1.8 -0.5 -6.6

1.5 0.05 0.1050 -3.851 0.4 0.4 0.2 -0.3

1.5 0.10 0.1095 -3.779 -0.2 -0.2 -0.5 -1.0

1.5 0.25 0.1260 -3.491 -0.5 -0.5 -0.9 -1.2

1.5 0.50 0.1650 -2.941 -1.7 -1.7 -1.6 -1.8

1.5 0.75 0.2435 -2.340 -3.1 -3.1 -1.9 -2.7

1.5 0.90 0.3058 -1.685 -2.6 -2.6 -1.4 -4.5

1.5 0.95 0.3215 -1.381 -1.5 -1.5 -0.7 -5.7

2.0 0.05 0.1113 -5.680 0.0 0.0 -0.2 -0.4

2.0 0.10 0.1162 -5.510 0.1 0.1 -0.2 -0.4

2.0 0.25 0.1338 -4.993 -0.1 -0.1 -0.7 -0.4

2.0 0.50 0.1772 -4.063 -1.0 -1.0 -1.5 -1.0

2.0 0.75 0.2571 -2.958 -2.3 -2.3 -1.8 -1.8

2.0 0.90 0.3315 -2.019 -2.1 -2.1 -1.3 -3.4

2.0 0.95 0.3387 -1.545 -1.2 -1.2 -0.7 -5.2

bias

,

% -1.6 -1.5 -0.8 -1.7 averaige abso lute error % 1.7 1.6 0.8 3.2

1 *

T = \T/e 11' 'll/^B

= 120 K, -11 = ^ 3405 nm, ^22^^11

= 2.00

-55-
Table 12. Comparisons of Model Predictions for the Dimensionless

Residual Internal Energy for Lennard- Jones Mixtures at

T = 3

3 ^^11

U^'/Nk T

MD

^ %error %error %error %error

^22/ 11 '^l VDW-1 MDA MMDA CWA

0.5 0.05 0.0757 -0.399 -2.1 -2.1 -2.0 20.7

0.5 0.10 0.0782 -0.405 -2.2 -2.2 -1.9 19.1

0.5 0.25 0.0868 -0.420 -2.8 -2.7 -1.6 14.7

0.5 0.50 0.1053 -0.432 -4.1 -4.1 -1.0 7.5

0.5 0.75 0.1312 -0.411 -4.1 -4.2 0.3 0.1

0.5 0.90 0.1509 -0.361 -0.1 -0.1 3.5 -3.0

0.5 0.95 0.1580 -0.349 -1.3 -1.3 1.0 -7.4

1.0 0.05 0.0813 -1.145 0.2 0.2 0.2 1.9

1.0 0.10 0.0844 -1.123 0.2 0.2 0.2 0.9

1.0 0.25 0.0937 -1.039 -0.3 -0.3 0.1 -0.1

1.0 0.50 0.1168 -0.895 -1.5 -1.5 0.0 -1.0

1.0 0.75 0.1432 -0.659 -1.9 -1.9 0.6 -3.8

1.0 0.90 0.1590 -0.470 -1.0 -1.0 1.2 -6.8

1.0 0.95 0.1626 -0.398 -0.5 -0.5 1.0 -8.2

1.5 0.05 0.0885 -2.046 -0.2 -0.2 -0.2 -1.0

1.5 0.10 0.0921 -1.990 -0.3 -0.3 -0.4 -1.2

1.5 0.25 0.1045 -1.809 -0.7 -0.6 -0.6 -1.4

1.5 0.50 0.1312 -1.450 -1.6 -1.6 -0.7 -2.0

1.5 0.75 0.1601 -0.946 -1.8 -1.7 -0.2 -4.3

1.5 0.90 0.1672 -0.565 -0.6 -0.5 0.9 -7.4

1.5 0.95 0.1666 -0.440 -0.1 0.0 0.9 -8.6

2.0 0.05 0.0955 -3.089 -0.3 -0.3 -0.4 -0.6

2.0 0.10 0.0991 -2.977 -0.4 -0.3 -0.5 -1.2

2.0 0.25 0.1100 -2.597 -0.7 -0.5 -0.6 -1.2

2.0 0.50 0.1434 -2.060 -1.6 -1.3 -0.9 -1.7

2.0 0.75 0.1738 -1.238 -1.9 -1.3 -0.6 -3.9

2.0 0.90 0.1759 -0.664 -0.9 -0.4 0.3 -7.9

2.0 0.95 0.1705 -0.481 -0.3 0.0 0.6 -9.1

3.0 0.05 0.1071 -5.469 0.0 0.0 -0.1 -0.3

3.0 0.10 0.1109 -5.227 0.0 0.1 -0.2 -0.4

3.0 0.25 0.1264 -4.569 -0.1 0.1 -0.5 -0.5

3.0 0.50 0.1636 -3.413 -1.0 -0.3 -0.8 -0.8

3.0 0.75 0.2130 -2.004 -2.1 -0.7 -0.7 -2.1

3.0 0.90 0.1952 -0.874 -1.4 0.8 0.5 -8.1

3.0 0.95 0.1783 -0.562 -1.2 0.3 0.2 -10.3

bias

,

% -1.1 -0.9 -0.1 averaLge abso lute error, % 1.1 1.0 0.7

1 *

T = V/.11' 'll/^B= 120 K, "11 = ».3405 nm, "22/^11 = 2.00

-56
4.4 Excess Properties

In order to further test the new MDA model, conformal solution

calculations for excess properties were performed. A Lennard-Jones 6-12

reference fluid was used (with the 32 term BWR type equation of state of

Nicolas et al.[59]). Calculations were made using the VDW-1, MDA and MMDA

models. Unless stated otherwise, the mixing was performed at constant

pressure,

x''(T,p,{x^)) = x"''-''(T,p,{x^)) - X x.X^(p,T) (89)

i

where X is any excess property and X. denotes a pure fluid value of that

property. In all computations the Lorentz-Berthelot combining rules, eq

(4) -(5) were used for the unlike pair potentials.

Table 13 shows a comparison of the predicted excess volume and excess enthalpy and the Monte Carlo (MC) simulation data from Singer and Singer

[5], as well the MDA and VDW-1 predictions. Singer and Singer's data are for

equimolar mixtures of relatively small size ratios, 1.00-1.2727, and energy

ratios of 0.656-1.235 for two temperatures. For equally sized particles, the

MMDA reduces to the MDA. In general, as the size ratio increases the MMDA

shows improvements over both VDW-1 and MDA theories for both excess volume

and enthalpy, particularly when the energy ratio is also high. It is not

clear why the MMDA does not do as well as MDA or VDW-1 for some of the

points with energy ratio of 0.656.

Table 14 compares excess volume predictions to the data of Gupta [9],

covering a range of size ratios and compositions at equal energy ratios. The excess volumes are quite small. For the largest size ratio, the MMDA offers

significant improvement over VDW-1, which tends to give a much too large,

negative number for the excess volume. The MDA theory also gives better

results than the VDW-1 for these data.

Table 15 compares selected points from simulations of Hoheisel et al

[8] with conformal solution models. Hoheisel et al . estimate the isochoric excess internal energy from the simulation data is accurate to ± 20 J/mol.

Although the MMDA does not give results within the experimental error, it

does give a better approximation than MDA or VDW-1. For isobaric excess internal energy, excepting the point at p=3551 bar, the MMDA also gives the

best predictions. The excess volume comparisons show the MMDA to give the

best approximation as well, but not within experimental accuracy (estimated

as ±0.1 cm^/mol [8]).

-57-
Table 13. Comparison of Predicted Excess Properties with Monte

Carlo Simulation Results for Binary Equimolar

Lennard- Jones Mixtures

V^ (cm^/mol) H^/Nk^T

^22/^^11 ^22/^11 model 97 K 117 K 97 K 117 K

1.000 0.656 MC -0.89 -1.66 0.15 0.12

VDW-1 -0.92 -1.77 0.11 0.09

MDA -0.90 -1.61 0.11 0.08

MMDA -0.90 -1.61 0.11 0.08

1.000 1.000 MC 0.00 0.00 0.00 0.00

VDW-1 0.00 0.00 0.00 0.00

MDA 0.00 0.00 0.00 0.00

MMDA 0.00 0.00 0.00 0.00

1.000 1.524 MC -0.96 -1.72 0.04 0.08

VDW-1 -0.92 -1.77 0.11 0.09

MDA -0.90 -1.61 0.11 0.08

MMDA -0.90 -1.61 0.11 0.08

1.0619 0.656 MC -1.08 -2.02 0.24 0.19

VDW-1 -1.11 -2.08 0.23 0.19

MDA -1.09 -1.91 0.23 0.18

MMDA -1.06 -1.88 0.23 0.18

1.0619 1.000 MC V 0.01 -0.02 0.01 0.00

VDW-1 -0.05 -0.05 0.00 0.00

MDA -0.05 -0.05 0.00 0.00

MMDA -0.01 -0.01 0.00 0.00

1.0619 1.524 MC -0.80 -1.43 -0.01 0.00

VDW-1 -0.81 -1.58 0.00 -0.01

MDA -0.81 -1.42 0.00 -0.01

MMDA -0.77 -1.38 0.01 0.00

1.1277 0.656 MC -1.29 -2.43 0.34 0.26

VDW-1 -1.39 -2.48 0.35 0.29

MDA -1.37 -2.30 0.35 0.28

MMDA -1.25 -2.17 0.37 0.29

1.1277 1.000 MC 0.02 -0.05 0.03 0.01

VDW-1 -0.18 -0.20 0.00 0.00

MDA -0.18 -0.20 0.00 0.00

MMDA -0.05 -0.05 0.03 0.02

1.1277 1.524 MC -0.68 -1.18 -0.10 -0.07

VDW-1 -0.81 -1.48 -0.12 -0.11

MDA -0.80 -1.33 -0.12 -0.11

MMDA -0.66 -1.18 -0.08 -0.08

^ 'll/\ = 133.5 K, .^2 - 0.3596 nm with Lorentz-Ber thelot

combining rules and P = 0; simulation data from ref [5].

58
Table 13 (continued) . Comparison of Predicted Excess Properties

with Monte Carlo Simulation Results for Binary

Equimolar Lennard- Jones Mixtures

o^^/o^^ 622/^11

V (cm /mol) H^/Nk T

model 97 K 117 K 97 K '117 K

MC -1.50 -2.87 0.45 0.34

VDW-1 -1.76 -3.00 0.47 0.39

MDA -1.75 -2.80 0.46 0.37

MMDA -1.46 -2.51 0.51 0.40

MC -0.05 -0.14 0.05 0.02

VDW-1 -0.41 -0.49 0.00 0.00

MDA -0.41 -0.45 0.00 0.00

MMDA -0.12 -0.14 0.06 0.04

MC -0.55 -0.95 -0.17 -0.14

VDW-1 -0.90 -1.47 -0.25 -0.21

MDA -0.88 -1.34 -0.24 -0.21

MMDA -0.59 -1.02 -0.16 -0.15

MC -1.76 -3.35 0.58 0.42

VDW-1 -2.23 -3.61 0.58 0.48

MDA -2.20 -3.39 0.57 0.46

MMDA -1.69 -2.85 0.66 0.52

MC -0.10 -0.24 0.09 0.04

VDW-1 -0.72 -0.79 0.00 0.00

MDA -0.72 -0.79 0.00 0.00

MMDA -0.20 -0.23 0.11 0.08

MC -0.45 -0.76 -0.24 -0.20

VDW-1 -1.06 -1.57 -0.36 -0.31

MDA -1.06 -1.45 -0.35 -0.30

MMDA -0.53 -0.88 -0.22 -0.20

1.1978 0.656

1.1978 1.000

1.1978 1.524

1.2727 0.656

1.2727 1.000

1.2727 1.524

59
3 Table 14. Excess Voliime (cm /mol) Comparisons with

Lennard- Jones Mixture Simulation Data

'^22/''ll ^1 MD VDWl MDA MMDA

1.25 0.25 -0.098 -0.373 -0.050 -0.004

0.50 -0.145 -0.500 -0.051 -0.005

0.75 -0.131 -0.377 -0.050 0.004

1.50 0.25 -0.378 -1.542 -0.061 -0.004

0.50 -0.388 -2.067 -0.068 0.052

0.75 -0.383 -1.558 -0.063 0.087

1.75 0.25 -0.369 -3.629 -0.084 -0.034

0.50 -0.813 -4.824 -0.101 0.143

0.75 -0.865 -3.629 -0.090 0.289

2.00 0.25 -0.228 -6.672 -0.115 -0.104

0.50 -0.480 -8.888 -0.151 0.280

0.75 -0.644 -6.672 -0.133 0.678

^ ^22/^1 = ^' V/^ir ^' ^^11^/^11 = ^-5

a^^ = 0.3405 nm, ^-^-^/^ = 120 K; simulation data from ref [91.

60
Table 15. Comparison of Selected Simulated and Predicted Excess

Properties for Equimolar Lennard-Jones Mixtures

Isochorlc U (J/mol)

:

^22/^11 '^22/''ll P(^, T(K) MD VDW-1 MDA MMDA

1.5 1.3 0.9 201.4 -806.1 -858.7 -862.6 -823.0

4.5 1.3 0.9 200.5 -1042.5 -1092.3 -1160.7 -1089.31

Isobaric U (J/mc•1):

^22/^11 "22/^11 P(bar) T(K) MD VDW--1 MDA MMDA

1.5 1.3 3563 201.4 -27.68 -69,,06 -72.51 -42.34

4.5 1.3 3551 200.5 -286.88 -234,,78 156.46 238.10

1.5 2.0 1629 198.4 -222.41 -389,.53 -392.60 -203.54

4.5 2.0 1904 199.0 -380.01 -831,.74 -900.10 -403.20

V (cm /mol)

:

^22/^11 o^^/o

11 T(K) MD VDW-1 MDA MMDA

1.5 1.3 201.4 -0.040 -0.284 -0.305 -0.089

4.5 1.3 200.5 -0.302 -0.362 -0.643 -0.349

1.5 2.0 198.4 -0.268 -3.306 -3.590 -0.287

4.5 2.0 199.0 -1.261 -5.246 -6.737 -1.922

hl/^B = ^"^ ^' ^11

data from ref [81

.

0.2850 nm, o from eq (35); simulation

X

-61
5.0 Conclusions

We have presented the results of an extensive molecular dynamics

simulation study of Lennard-Jones 6-12 molecules with a size ratio of two.

Energy ratios ranged from 0.5 to 3.0, and seven compositions (5, 10, 25, 50,

75, 90 and 95 mol percent) were investigated. Thermodynamic state data and

radial distribution functions were presented. The method of Baxter was used

to obtain direct correlation functions from the simulation radial

distribution functions.

We also have presented a new conformal solution model , the modified

mean density approximation, which is an improvement upon the mean density

approximation. Extensive comparisons with simulation data and with other

theories were given. The modified mean density approximation was shown to be

superior to the VDW-1 fluid, HSE and MDA theories. It gave results

comparable to those of the hard sphere perturbation theory of Lee and

Levesque

6.0 Acknowledgements

The authors would like to acknowledge Drs . Jeffery R. Fox and Denis J.

Evans for many helpful discussions on computer simulation techniques, and

Barry M. Valentine for his help with the graphs. This work was sponsored by

the U. S. Department of Energy, Office of Basic Energy Sciences.

62
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1979.

-66-
Nomenclature

Symbol Physical Quantity

c(r) direct correlation function

d hard sphere diameter

f(r) Mayer f function, eq (19)

f. equivalent substance reducing ratio, eq (24)

g(r) radial distribution function

h(r) total correlation function, eq (19)

h. equivalent substance reducing ratio, eq (24)

k Boltzman constant

n,

.

particle coordination number, eq (1)

p pressure

q(r) Baxter q function, eq (17), (18) r distance

u(r) intermolecular potential function

w. . (r) potential function, eq (48)

X. mol fraction of component i

y(r) function defined in eq (19)

A Helmholtz energy

diffusivity

L,

.

cutoff parameter in eq (1)

M number of components in the mixture

N number of particles

S sums defined in eq (44)

T temperature

U internal energy

X.

.

local composition, eq (2)

Z compressibility factor

67
Symbol Physical Quantity

pa

ij

7

X

u

(0)

ij

m

(1)

ij

parameters defined in eq (63,64)

Lennard-Jones potential parameter

shape factors, eq (25,26)

density

Lennard-Jones potential parameter

packing fraction, eq (29,44)

parameters in eq (56, 57)

quantity defined in eq (80)

acentric factor

U

r/a..

r/d..

V^^ll

P^ll /!ii

(U U^^)/Ne

11

pa

11

BH

CS

DCF

HS

HSE

LJ

MC

MCSL

MD

MDA

MMDA

oPY

RDF

VDW-1

WCA

Barker -Hendersen

Carnahan- Starling

direct correlation function

hard sphere

hard sphere expansion

Lennard-Jones

Monte Carlo

Mansoori- Carnahan- S tar ling-Leland

molecular dynamics

mean density approximation

modified mean density approximation

reference fluid value

Percus - Yevick

radial distribution function

Van der Waals one -fluid

Weeks -Chandler -Andersen

-68-
Appendix A

Tabular Data for Radial Distribution Functions

and Local Compositions

69
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . ^22/^^11== 2.00 p*= 0.115 x^= 0.(3498 €^2,Aii= 0.:50

R* Sll ^12 ^22 ^11 ^12 ^22

0.850 0.0000 .0000 0.0014 1.0000 1.0000 0.0009

0.875 0.0000 .0011 0.0242 1.0000 1.0000 0.0157

0.900 0.0222 .0256 0.1588 1.0000 1.0000 0.1149

0.925 0.1261 .1600 0.5230 1.0000 1.0000 0.3537

0.950 0.3586 .5181 1.1003 1.0000 1.0000 0.6001

0.975 1.0214 1 .0844 1.7142 1.0000 1.0000 0.7541

1.000 2.5533 1 .7296 2.1898 1.0000 1.0000 0.8367

1.025 3.2005 2 .2165 2.4228 1.0000 1.0000 0.8813

1.050 4.2731 2 .5025 2.4568 1.0000 1.0000 0.9068

1.075 4.7457 2 .6006 2.3659 1.0000 1.0000 0.9223

1.100 4.4879 2 .5664 2.1895 1.0000 1.0000 0.9322

1.125 4.6600 2 .4550 1.9753 1.0000 0.9996 0.9389

1.150 4.0110 2 .2760 1.7742 1 . 0000 0.9960 0.9435

1.175 3.3081 2 .0486 1.5836 1.0000 0.9716 0.9468

1.200 3.4090 .9017 1.4202 1.0000 0.8851 0.9491

1.225 3.4630 .7441 1.2788 1.0000 0.7141 0.9508

1.250 2.7735 .5821 1.1586 1.0000 0.5137 0.9520

1.275 2.5662 .4591 1.0533 1.0000 0.3526 0.9529

1.300 2.4046 .3367 0.9667 0.9999 0.2459 0.9534

1.325 2.2021 .2548 0.8985 0.9989 0.1794 0.9537

1.350 2.2989 .1345 0.8393 0.9915 0.1378 0.9539

1.375 1.9688 .0606 0.7964 0.9632 0.1110 0.9539

1.400 1.7248 .0143 0.7575 0.8910 0.0932 0.9537

1.425 1.6825 0..9513 0.7273 0.7660 0.0810 0.9534

1.450 1.5566 0,.9068 0.7106 0.6129 0.0722 0.9530

1.475 1.4381 0..8740 0.6973 0.4686 0.0658 0.9526

1.500 1.3826 0,.8363 0.6911 0.3542 0.0611 0.9520

1.525 1.4381 0..7930 0.6910 0.2724 0.0575 0.9514

1.550 1.1377 0,.7757 0.6940 0.2154 0.0547 0.9508

1.575 1.1671 0,.7664 0.7019 0.1755 0.0526 0.9501

1.600 1.0606 0,.7534 0.7189 0.1472 0.0509 0.9495

1.625 0.9602 0,.7506 0.7351 0.1266 0.0496 0.9488

1.650 0.9577 0,.7319 0.7621 0.1112 0.0486 0.9481

1.675 0.9678 0,.7272 0.7909 0.0997 0.0477 0.9475

1.700 0.9706 0,,7260 0.8210 0.0908 0.0471 0.9469

1.725 0.9246 0.,7296 0.8572 0.0839 0.0467 0.9464

1.750 0.8925 0,.7383 0.8936 0.0784 0.0464 0.9459

1.775 0.9018 0,.7513 0.9348 0.0740 0.0462 0.9455

1.800 0.8214 0,,7499 0.9752 0.0704 0.0461 0.9453

1.825 0.8206 0,,7656 1.0179 0.0674 0.0461 0.9452

1.850 0.9247 0.,7847 1.0562 0.0649 0.0462 0.9451

1.875 0.8951 0,,7955 1.0895 0.0629 0.0464 0.9452

1.900 0.9364 0,,8138 1.1227 0.0613 0.0466 0.9454

1.925 0.8298 0,,8295 1.1527 0.0599 0.0469 0.9458

1.950 0.8654 0,,8566 1.1786 0.0587 0.0472 0.9461

1.975 0.8436 0.,8777 1.1923 0.0577 0.0476 0.9466

2.000 0.8272 0.,8831 1.1999 0.0568 0.0480 0.9471

2.025 0.8595 0.,9263 1.2025 0.0560 0.0484 0.9475

2.050 0.8130 0.,9307 1.1942 0.0555 0.0489 0.9480

2.075 0.6432 0,,9679 1.1794 0.0548 0.0493 0.9485

2.100 0.8685 0.,9842 1.1617 0.0543 0.0499 0.9489

2.125 0.7168 1.,0076 1.1371 0.0539 0.0504 0.9493

2.150 0.8247 1.,0313 1.1100 0.0535 0.0509 0.9496

2.175 0.7374 1.,0567 1.0846 0.0532 0.0514 0.9499

2.200 0.8025 1.,0655 1.0550 0.0529 0.0519 0.9502

2.225 0.7264 1.,0869 1.0304 0.0527 0.0524 0.9504

2.250 0.7459 1.,1159 1.0057 0.0525 0.0528 0.9505

2.275 0.8095 1.,1218 0.9822 0.0524 0.0533 0.9506

2.300 0.7546 1.,1465 0.9629 0.0523 0.0536 0.9507

2.325 0.7318 1.,1599 0.9457 0.0522 0.0540 0.9507

2.350 0.7880 1.,1643 0.9317 0.0521 0.0543 0.9507

2.375 0.8384 1.,1589 0.9191 0.0521 0.0545 0.9506

2.400 0.7773 1. 1615 0.9106 0.0521 0.0547 0.9505

2.425 0.8592 1. 1630 0.9050 0.0522 0.0548 0.9505

2.450 0.8778 1. 1598 0.9006 0.0523 0.0549 0.9503

2.475 0.8601 1. 1387 0.8997 0.0524 0.0548 0.9502

2.500 0.8861 1. 1293 0.9032 0.0526 0.0548 0.9501

2.525 0.8320 1. 1162 0.9101 0.0527 0.0546 0.9499

70
2.550

2.575

2.600

2.625

2.650

.675

,700

,725

,750

2.115

2.800

2.825

2.850

2.875

.900

.925

.950

.975

.000

.025

.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

.300

.325

.350

.375

.400

.425

.450

.475

.500

.525

3.550

3.575

.600

.625

.650

.675

.700

.725

,750

.775

.800

.825

.850

.875

.900

.925

.950

.975

.000

0.8656

0.7458

0.8406

0.8794

0.8501

0.8846

0.8806

1.0098

0.9036

0.9621

1.0321

0.9959

1.1313

1.0421

1.1204

1.0740

1.1406

1.0910

1.0949

1.1299

1.0883

2665

1751

1932

2051

1523

0431

2293

1423

0931

0865

0881

0.9582

0435

.0500

,0224

,0258

,0543

0.9703

1.0101

1.0602

1.0763

1.0559

0.9524

0.9624

0.9746

0.9129

0.9512

0.9603

1.0221

0.9389

1.0127

0.9960

0.9485

0.9706

0.9781

0.9762

0.9514

1.0000

1.0955

1.0725

1.0653

1.0485

1.0271

1.0170

1.0029

0.9874

0.9763

0.9715

0.9514

0.9454

0.9360

0.9311

0.9163

0.9176

0.9224

0.9139

0.9173

0.9263

0.9310

0.9275

0.9345

0.9451

0.9531

0.9501

0.9583

0.9666

0.9719

0.9834

0.9960

0.9983

1.0099

1.0218

1.0205

1.0291

1.0326

1.0387

1.0417

1.0414

1.0391

1.0429

1.0369

1.0391

1.0405

1.0410

1.0393

1.0419

1.0381

1.0292

1.0271

1.0228

1.0186

1.0116

1.0069

1.0056

1.0008

1.0017

1.0000

0.9163

0.9249

0.9367

0.9502

0.9633

0.9732

0.9853

0.9997

1.0104

1.0222

1.0323

1.0415

1.0461

1.0513

1.0542

1.0539

1.0557

1.0549

1.0520

1.0461

1.0407

1.0345

1.0280

1.0199

1.0135

1.0075

0.9991

0.9932

0.9851

0.9791

0.9747

0.9737

0.9709

0.9686

0.9676

0.9691

0.9717

0.9729

0.9755

0.9781

0.9803

0.9860

0.9901

0.9964

0.9996

1.0036

1.0062

1.0100

1.0141

1.0156

1.0180

1.0175

,0200

,0182

,0188

,0176

,0163

1.0133

1.0000

0.0528

0.0528

0.0528

0.0530

0.0530

0.0531

0.0532

0.0534

0.0536

0.0537

0.0539

0.0541

0.0543

0.0546

0.0548

0.0550

0.0552

0.0554

0.0555

0.0556

0.0557

0.0559

0.0561

0.0562

0.0563

0.0563

0.0563

0.0562

0.0562

0.0562

0.0560

0.0559

0.0557

0.0554

0.0552

0.0549

0.0547

0.0545

0.0542

0.0539

0.0537

0.0535

0.0533

0.0531

0.0528

0.0525

0.0523

0.0520

0.0518

0.0516

0.0515

0.0513

0.0512

0.0511

0.0510

0.0509

0.0508

0.0507

0.0507

0.0544

0.0542

0.0539

0.0535

0.0532

0.0528

0.0525

0.0521

0.0518

0.0514

0.0511

0.0508

0.0505

0.0503

0.0501

0.0499

0.0497

0.0496

0.0495

0.0494

0.0494

0.0493

0.0493

0.0493

0.0494

0.0494

0.0495

0.0495

0.0496

0.0497

0.0498

0.0499

0.0500

0.0501

0.0502

0.0503

0.0504

0.0505

0.0506

0.0507

0.0507

0.0508

0.0508

0.0508

0.0509

0.0509

0.0509

0.0509

0.0508

0.0508

0.0508

0.0507

0.0507

0.0506

0.0506

0.0505

0.0504

0.0504

0.0503

0.9498

0.9497

0.9495

0.9494

0.9493

0.9492

0.9492

0.9492

0.9491

0.9491

0.9492

0.9492

0.9492

0.9493

0.9494

0.9494

0.9495

0.9496

0.9497

0.9497

0.9498

0.9499

0.9499

0.9499

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9499

0.9499

0.9499

0.9499

0.9498

0.9498

0.9498

0.9498

0.9498

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9498

0.9498

0.9498

0.9498

0.9498

0.9499

0.9499

0.9499

0.9499

0.9500

0.9500

0.9500

0.9500

71
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-l . ^^22/^^11== 2.00 p*= 0.121 x^=0. 0995 622./^ir °- 50

R* Sll §12 §22 ^11 ^12 ^22

0.850 0.0000 .0000 0.0016 1.0000 1.0000 0.0004

0.875 0.0000 .0018 0.0260 1.0000 1.0000 0.0084

0.900 0.0102 .0279 0.1606 1.0000 1.0000 0.0596

0.925 0.0387 .1626 0.5337 1.0000 1.0000 0.2096

0.950 0.3940 .5219 1.1216 1.0000 1.0000 0.4210

0.975 1.0612 1 .1021 1.7431 1.0000 1.0000 0.5980

1.000 1.9515 1 .7053 2.2011 1.0000 1.0000 0.7125

1.025 3.0223 2 .2163 2.4362 1.0000 1.0000 0.7816

1.050 4.0726 2 .5180 2.4582 1.0000 1.0000 0.8238

1.075 4.4757 2 .6121 2.3527 1.0000 1.0000 0.8505

1.100 4.6026 2 .5529 2.1736 1.0000 1.0000 0.8681

1.125 4.5408 2 .4241 1.9649 1.0000 0.9998 0.8800

1.150 4.2705 2 .2455 1.7629 1.0000 0.9978 0.8884

1.175 3.8781 2 .0779 1.5789 1.0000 0.9853 0.8943

1.200 3.4196 1 .8936 1.4072 1.0000 0.9404 0.8986

1.225 3.0307 1 .7333 1.2617 1.0000 0.8374 0.9017

1.250 2.6832 1 .5742 1.1390 1.0000 0.6855 0.9038

1.275 2.3908 1 .4340 1.0436 1.0000 0.5290 0.9052

1.300 2.2165 1 .3149 0.9613 0.9999 0.4020 0.9062

1.325 2.0536 1 2183 0.8910 0.9992 0.3110 0.9067

1.350 1.8716 1 1393 0.8361 0.9952 0.2486 0.9069

1.375 1.6970 1 0723 0.7893 0.9802 0.2059 0.9068

1.400 1.5884 1 0030 0.7552 0.9413 0.1762 0.9065

1.425 1.5006 9452 0.7292 0.8664 0.1552 0.9059

1.450 1.3549 8998 0.7135 0.7577 0.1398 0.9052

1.475 1.3132 8770 0.7030 0.6352 0.1285 0.9043

1.500 1.3047 8365 0.6989 0.5217 0.1200 0.9033

1.525 1.1432 8090 0.6976 0.4272 0.1134 0.9023

1.550 1.1737 7954 0.7039 0.3534 0.1084 0.9011

1.575 1.0934 7742 0.7118 0.2976 0.1044 0.8999

1.600 0.9820 7583 0.7301 0.2555 0.1014 0.8987

1.625 0.9160 7557 0.7477 0.2236 0.0990 0.8975

1.650 1.0008 7524 0.7697 0.1995 0.0972 0.8963

1.675 0.9358 7507 0.7986 0.1810 0.0958 0.8951

1.700 0.8999 7510 0.8299 0.1665 0.0948 0.8941

1.725 0.8698 7521 0.8647 0.1549 0.0940 0.8931

1.750 0.8235 7583 0.9013 0.1455 0.0935 0.8923

1.775 0.7769 7531 0.9387 0.1377 0.0932 0.8917

1.800 0.7925 7718 0.9784 0.1313 0.0931 0.8912

1.825 0.7349 7737 1.0173 0.1259 0.0931 0.8910

1.850 0.8010 7969 1.0551 0.1214 0.0933 0.8910

1.875 0.7856 8016 1.0896 0.1178 0.0937 0.8912

1.900 0.7193 8288 1.1250 0.1147 0.0941 0.8916

1.925 0.7141 8371 1.1507 0.1119 0.0946 0.8922

1.950 0.7655 8575 1.1723 0.1097 0.0952 0.8929

1.975 0.7515 8807 1.1906 0.1078 0.0959 0.8937

2.000 0.7535 8918 1.1989 0.1063 0.0967 0.8946

2.025 0.7270 9150 1.1959 0.1049 0.0975 0.8955

2.050 0.7418 9387 1.1885 0.1036 0.0983 0.8964

2.075 0.7538 0. 9573 1.1718 0.1026 0.0992 0.8972

2.100 0.7763 0. 9816 1.1572 0.1019 0.1001 0.8980

2.125 0.7435 1. 0001 1.1321 0.1012 0.1010 0.8987

2.150 0.7657 1. 0264 1.1084 0.1006 0.1019 0.8994

2.175 0.7962 1. 0567 1.0813 0.1003 0.1028 0.8999

2.200 0.8090 1. 0789 1.0533 0.1000 0.1037 0.9004

2.225 0.7316 1. 0920 1.0276 0.0997 0.1046 0.9007

2.250 0.7963 1. 1089 1.0018 0.0995 0.1054 0.9010

2.275 0.8372 1. 1244 0.9805 0.0995 0.1062 0.9011

2.300 0.7972 1. 1455 0.9616 0.0995 0.1069 0.9012

2.325 0.7878 1. 1506 0.9455 0.0995 0.1075 0.9012

2.350 0.8483 1. 1612 0.9324 0.0995 0.1080 0.9012

2.375 0.7748 1. 1650 0.9219 0.0996 0.1085 0.9011

2.400 0.8427 1. 1615 0.9122 0.0998 0.1088 0.9009

2.425 0.8522 1. 1598 0.9077 0.1000 0.1090 0.9008

2.450 0.8225 1. 1488 0.9062 0.1002 0.1090 0.9006

2.475 0.8518 1. 1375 0.9081 0.1004 0.1090 0.9003

2.500 0.8541 1. 1280 0.9074 0.1006 0.1088 0.9001

2.525 0.8671 1. 1102 0.9134 0.1009 0.1085 0.8998

72-
2.550

2.575

2.600

2.625

2.650

2.675

700

725

750

775

800

2.825

2.850

2.875

2.900

2.925

2.950

975

000

025

050

075

100

125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

450

475

500

525

550

575

600

625

650

675

700

725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.8654

0.8855

0.8563

0.9133

0.9467

0.8800

0.9239

0.9566

0.9825

0.9826

1.0184

1.0170

1.0328

1.0019

1.0108

1.0004

1.0438

1.0735

1.0911

0600

0676

0875

1040

1529

1.0876

1.0882

0696

1131

0483

0894

0889

0378

0589

1.0501

,0476

,0271

,0602

,0361

,0500

0.9850

0.9413

0.9770

0.9657

0.9499

0.9587

0.9518

0.8955

0.9228

0.9173

0.8974

0.9197

0.8820

0.9108

0.8930

0.8973

0.9122

0.8960

0.8905

1.0000

1.0893

1.0758

1.0604

1.0398

1.0316

1.0128

0.9961

0.9888

0.9766

0.9603

0.9527

0.9356

0.9288

0.9350

0.9305

0.9261

0.9232

0.9284

0.9263

0.9342

0.9368

0.9429

0.9396

0.9477

0.9540

0.9595

0.9624

0.9708

0.9796

0.9913

0.9953

0.9996

1.0114

1.0196

1.0195

1.0258

1.0314

1.0335

1.0384

1.0367

1.0416

1.0398

1.0416

1.0413

1.0383

1.0408

1.0397

1.0333

1.0337

1.0267

1.0222

1.0183

1.0097

1.0125

1.0072

0.9999

0.9965

0.9945

1.0000

0.9208

0.9286

0.9411

0.9527

0.9646

0.9773

0.9886

1.0023

1.0135

1.0241

1.0314

1.0389

1.0466

1.0502

1.0541

1.0548

1.0538

1.0520

1.0498

1.0443

1.0394

1.0331

1.0265

1.0193

1.0128

1.0050

0.9976

0.9919

0.9851

0.9819

0.9783

0.9751

0.9742

0.9710

0.9694

0.9710

0.9717

0.9747

0.9776

0.9822

0.9849

0.9891

0.9925

0.9959

1.0010

1.0062

1.0088

1.0108

1.0137

1.0175

1.0169

1.0182

1.0177

1.0167

1.0164

1.0160

1.0153

1.0125

1.0000

0.1012

0.1014

0.1017

0.1020

0.1024

0.1027

0.1030

0.1033

0.1037

0.1041

0.1045

0.1049

0.1053

0.1056

0.1059

0.1061

0.1063

0.1066

0.1069

0.1071

0.1073

0.1074

0.1076

0.1078

0.1079

0.1079

0.1079

0.1078

0.1077

0.1075

0.1074

0.1071

0.1069

0.1066

0.1063

0.1059

0.1056

0.1052

0.1049

0.1045

0.1040

0.1035

0.1030

0.1026

0.1021

0.1017

0.1013

0.1008

0.1004

0.1000

0.0997

0.0993

0.0990

0.0987

0.0985

0.0982

0.0980

0.0978

0.0977

0.1081

0.1077

0.1071

0.1065

0.1059

0.1052

0.1045

0.1038

0.1032

0.1026

0.1020

0.1014

0.1009

0.1005

0.1001

0.0997

0.0994

0.0992

0.0990

0.0989

0.0988

0.0988

0.0988

0.0988

0.0989

0.0990

0.0991

0.0992

0.0993

0.0995

0.0997

0.0999

0.1001

0.1003

. 1004

0.1006

0.1008

0.1009

0.1011

0.1012

0.1013

0.1014

0.1015

0.1015

0.1015

0.1016

0.1015

0.1015

0.1015

0.1014

0.1014

0.1013

0.1012

0.1011

0.1010

0.1008

0.1007

0.1006

0.1005

0.8996

0.8993

0.8991

0.8989

0.8988

0.8986

0.8985

0.8985

0.8984

0.8985

0.8985

0.8985

0.8986

0.8988

0.8989

0.8990

0.8992

0.8994

0.8995

0.8996

0.8998

0.8999

0.8999

0.9000

0.9000

0.9001

0.9001

0.9001

0.9001

0.9000

0.9000

0.9000

0.8999

0.8999

0.8998

0.8998

0.8998

0.8997

0.8997

0.8997

0.8996

0.8996

0.8996

0.8996

0.8997

0.8997

0.8997

0.8997

0.8998

0.8998

0.8999

0.8999

0.9000

0.9000

0.9000

0.9001

0.9001

0.9001

0.9001

73-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-l . ^22/^^11== 2 .00 p*= 0.139 x^=0. 2500 ^22y^u ' 50

R* Sll §12 §22 ^11 hi ^22

0.850 .0000 .0000 0.0015 1.0000 1.0000 .0001

0.875 .0000 .0015 0.0246 1.0000 1.0000 .0027

0.900 .0062 .0242 0.1542 1.0000 1.0000 .0203

0.925 .0571 .1518 0.5150 1.0000 1.0000 .0804

0.950 .3380 .4906 1.0852 1.0000 1.0000 .1936

0.975 .9991 1 .0411 1.6939 1.0000 1.0000 .3297

1.000 1 .8894 1 .6397 2.1428 1.0000 1.0000 .4506

1.025 2 .9493 2 .1308 2.3744 1.0000 1.0000 .5422

1.050 3 .6927 2 .4212 2.4075 1.0000 1.0000 .6076

1.075 4 .1347 2 .5139 2.3083 1.0000 1.0000 .6532

1.100 4,.1516 2 .4791 2.1267 1.0000 1.0000 .6853

1.125 4,.2029 2 .3708 1.9392 1.0000 0.9999 .7082

1.150 3..8717 2 .1918 1.7413 1.0000 0.9993 .7247

1.175 3,.6788 2,.0252 1.5697 1.0000 0.9952 .7367

1.200 3.,2252 .8442 1.3949 1.0000 0.9797 .7454

1.225 2,.9180 .6832 1.2523 1.0000 0.9399 .7514

1.250 2,.6956 .5394 1.1362 1.0000 0.8685 0,.7556

1.275 2,.3577 .4136 1.0405 1.0000 0.7728 0,.7583

1.300 2..2065 .3046 0.9603 1.0000 0.6703 .7600

1.325 2,.0060 .2021 0.8936 0.9998 0.5770 .7608

1.350 1..8029 .1301 0.8407 0.9986 0.4999 0,.7609

1.375 1..6898 .0519 0.8014 0.9937 0.4392 .7604

1.400 1..5969 0..9986. 0.7735 0.9803 0.3924 0,.7595

1.425 1,.4168 0,.9577 0.7508 0.9523 0.3567 0,.7583

1.450 1..3580 0,.9113 0.7428 0.9055 0.3293 0..7569

1.475 1,,2786 0,.8746 0.7333 0.8417 0.3083 0..7553

1.500 1,.2001 0,.8487 0.7299 0.7679 0.2918 0..7535

1.525 1..1781 0,.8217 0.7379 0.6926 0.2790 0..7516

1.550 1,.1537 0,.8053 0.7454 0.6224 0.2688 0,.7497

1.575 1..0902 0,.7974 0.7562 0.5609 0.2608 0,.7478

1.600 1,.0653 0..7910 0.7705 0.5088 0.2546 0,.7459

1.625 1..0091 0,.7883 0.7818 0.4657 0.2499 0,.7439

1.650 0..9370 0,.7881 0.8008 0.4300 0.2463 0,.7420

1.675 0.,9579 0,.7915 0.8200 0.4005 0.2436 0,.7401

1.700 0.,9384 0,.7902 0.8456 0.3764 0.2417 0..7384

1.725 0.,8907 0,.7996 0.8771 0.3565 0.2403 0,.7368

1.750 0.,8902 0,.8028 0.9061 0.3400 0.2395 0,.7355

1.775 0.,8471 0,.8038 0.9392 0.3262 0.2392 0,.7344

1.800 0.,8851 0..8144 0.9685 0.3147 0.2391 0,.7336

1.825 0. 8982 0,.8186 1.0051 0.3052 0.2394 0,,7331

1.850 0.,8847 0..8290 1.0353 0.2974 . 2400 0,,7330

1.875 0.,8608 0,.8444 1.0664 0.2907 0.2407 0,,7333

1.900 0.,8666 0,.8517 1.0964 0.2850 0.2417 0,,7339

1.925 0.,8535 0,.8595 1.1240 0.2802 0.2427 0,,7348

1.950 0.,8378 0..8778 1.1417 0.2761 0.2439 0.,7360

1.975 0.,8698 0,.8879 1.1610 0.2727 0.2452 0.,7374

2.000 0.,8663 0,.9080 1.1714 0.2699 0.2465 0.,7389

2.025 0. 8597 0,.9180 1.1702 0.2676 0.2479 0. 7405

2.050 0.,8585 0..9356 1.1676 0.2656 0.2493 0. 7422

2.075 0.,8438 0,.9486 1.1530 0.2640 0.2508 0.,7437

2.100 0.,8418 0,.9709 1.1394 0.2626 0.2522 0.,7452

2.125 0.,8361 0,.9822 1.1191 0.2614 0.2537 0. 7465

2.150 0.,8315 1,.0024 1.0935 0.2604 0.2551 0. 7476

2.175 0.,8539 1,,0266 1.0696 0.2597 0.2565 0. 7485

2.200 0.,8750 1.,0454 1.0469 0.2592 0.2580 0. 7493

2.225 0.,8673 1.,0611 1.0293 0.2590 0.2594 0. 7499

2.250 0.,8718 1,,0740 1.0047 0.2588 0.2608 0. 7504

2.275 0.,8552 1.,0956 0.9866 0.2587 0.2620 0. 7506

2.300 0. 8566 1.,1078 0.9690 0.2587 0.2632 0. 7508

2.325 0.,8540 1.,1146 0.9563 0.2587 0.2642 0. 7509

2.350 0. 8604 1.,1276 . 9444 0.2588 0.2651 0. 7508

2.375 0,,8595 1.,1333 0.9355 0.2590 0.2659 0. 7507

2.400 0. 8888 1.,1317 0.9327 0.2592 0.2664 0. 7505

2.425 0. 8760 1.,1338 0.9273 0.2595 0.2668 0. 7502

2.450 0. 8969 1.,1270 0.9276 0.2598 0.2670 0. 7499

2.475 0. 8826 1.,1184 0.9261 0.2601 0.2670 0. 7495

2.500 0. 8909 1.,1027 0.9300 0.2604 0.2667 0. 7492

2.525 0.,9023 1.,0951 0.9298 0.2607 0.2663 0. 7488

74
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

.800

.825

.850

.875

.900

.925

.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

.250

.275

.300

.325

.350

.375

.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9105

0.9169

0.9229

0.9482

0.9470

0.9506

0.9429

0.9692

1 . 0044

0.9974

1.0050

1.0146

1.0315

1.0310

1.0630

1.0492

1.0781

0753

1055

1179

1293

1097

1164

1.1019

,1246

,1134

,1091

,1055

1126

1013

1067

0851

0811

0788

0623

0788

0463

0524

1 . 0414

1.0384

1.0142

1.0099

0.9858

0.9943

0.9832

0.9859

0.9790

0.9792

0.9753

0.9757

0.9550

0.9605

0.9688

0.9409

0.9650

0.9515

0.9674

0.9642

1.0000

1.0828

1.0694

1.0551

1.0422

1.0293

1.0173

0.9973

0.9898

0.9766

0.9716

0.9629

0.9565

0.9532

0.9504

0.9472

0.9460

0.9410

0.9456

0.9457

0.9443

0.9475

0.9495

0.9529

0.9560

0.9604

0.9629

0.9698

0.9760

0.9814

0.9858

0.9920

0.9933

0.9996

1.0057

1.0087

1.0122

1.0174

1.0243

1.0243

0268

,0248

,0297

,0289

,0297

1.0293

1.0237

1.0210

,0261

,0199

,0202

,0202

,0168

,0112

1.0087

1.0066

1.0034

1.0001

0.9971

1.0000

. 9404

0.9491

0.9538

0.9623

0.9736

0.9803

0.9877

0.9966

1.0047

1.0134

1.0246

1.0289

1.0351

1.0385

1 . 0406

1.0425

1.0426

1.0407

1.0385

1.0345

1.0325

1.0267

1.0204

1.0129

1.0098

1.0046

0.9995

0.9962

0.9919

0.9887

0.9853

0.9829

0.9821

0.9807

0.9805

0.9820

0.9816

0.9833

0.9856

0.9877

0.9904

0.9944

0.9930

0.9960

0.9990

1.0038

1.0048

1.0066

1.0073

1.0098

1.0122

1.0124

1.0123

1.0115

1.0131

1.0126

1.0119

1.0102

1.0000

0.2611

0.2615

0.2618

0.2623

0.2627

0.2632

0.2636

0.2640

0.2645

0.2651

0.2656

0.2660

0.2665

0.2670

0.2675

0.2680

0.2685

0.2689

0.2694

0.2699

0.2703

0.2707

0.2710

0.2713

0.2714

0.2716

0.2716

0.2716

0.2715

0.2713

0.2711

0.2708

0.2704

0.2699

0.2694

0.2688

0.2682

0.2675

0.2668

0.2661

0.2653

0.2645

0.2637

0.2628

0.2620

0.2612

0.2604

0.2597

0.2590

0.2583

0.2577

0.2571

0.2565

0.2560

0.2555

0.2551

0.2547

0.2544

0.2541

0.2657

0.2649

0.2640

0.2630

0.2618

0.2607

0.2595

0.2582

0.2570

0.2559

0.2548

0.2538

0.2529

0.2522

0.2515

0.2509

0.2504

0.2500

0.2496

0.2494

0.2493

0.2492

0.2491

0.2492

0.2493

0.2494

0.2495

0.2497

0.2500

0.2502

0.2505

0.2507

0.2510

0.2513

0.2516

0.2518

0.2520

0.2523

0.2525

0.2527

0.2528

0.2529

0.2531

0.2531

0.2532

0.2532

0.2532

0.2532

0.2531

0.2530

0.2529

0.2528

0.2526

0.2525

0.2523

0.2521

0.2519

0.2517

0.2515

0.7484

0.7481

0.7478

0.7475

0.7473

0.7471

0.7469

0.7468

0.7468

0.7468

0.7469

0.7470

0.7471

0.7473

0.7475

0.7477

0.7480

0.7482

0.7485

0.7487

0.7488

0.7490

0.7491

0.7492

0.7493

0.7494

0.7494

0.7494

0.7494

0.7493

0.7493

0.7492

0.7492

0.7491

0.7491

0.7490

0.7490

0.7489

0.7489

0.7488

0.7488

0.7488

0.7488

0.7488

0.7488

0.7489

0.7489

0.7489

0.7490

0.7490

0.7491

0.7492

0.7492

0.7493

0.7493

0.7494

0.7495

0.7495

0.7495

-75
^22/^^11= 2 .00 p*= 0.190 x-= 0. 5000 €22:/Hr ' 50

R* Sll §12 §22 ^11 h2 ^22

0.850 .0000 .0001 0.0014 1.0000 1.0000 0.0000

0.875 .0000 .0013 0.0263 1.0000 1.0000 0.0010

0.900 .0029 .0241 0.1631 1.0000 1.0000 0.0077

0.925 .0612 .1491 0.5318 1.0000 1.0000 0.0311

0.950 .2939 .4750 1.1081 1.0000 1.0000 0.0802

0.975 .9412 1 .0019 1.6989 1.0000 1.0000 0.1500

1.000 1 .7920 1 .5842 2.1378 1.0000 1.0000 0.2257

1.025 2 .7201 2 .0291 2.3422 1.0000 1.0000 0.2947

1.050 3 .4672 2 .3118 2.3437 1.0000 1.0000 0.3514

1.075 3..7628 2 .3958 2.2256 1.0000 1.0000 0.3955

1.100 3 .8395 2,.3315 2.0412 1.0000 1.0000 0.4288

1.125 3,.7306 2 .2252 1.8491 1.0000 1.0000 0.4537

1.150 3,.4755 2 .0733 1.6476 1.0000 0.9998 0.4720

1.175 3,.2067 1,.9047 1.4807 1.0000 0.9982 0.4853

1.200 2..9248 1..7433 1.3254 1.0000 0.9923 0.4949

1.225 2,.6191 1,.5907 1.1977 1.0000 0.9770 0.5014

1.250 2..3621 1,.4527 1.0749 1.0000 0.9477 0.5055

1.275 2..1797 1,.3318 0.9886 1.0000 0.9038 0.5074

1.300 .9687 1..2414 0.9262 1.0000 0.8500 0.5081

1.325 .8138 1,.1544 0.8723 0.9999 0.7930 0.5077

1.350 .6557 1,,0741 0.8251 0.9995 0.7384 0.5066

1.375 .5372 1..0217 0.8000 0.9977 0.6899 0.5051

1.400 .4463 0..9656 0.7753 0.9928 0.6486 0.5032

1.425 .3469 0,.9222 0.7742 0.9823 0.6144 0.5012

1.450 .2550 0,.9011 0.7689 0.9642 0.5866 0.4993

1.475 .1963 0..8780 0.7818 0.9375 0.5643 0.4975

1.500 .1492 0,.8567 0.7890 0.9034 0.5463 0.4958

1.525 .0756 0,.8542 0.8039 0.8646 0.5320 0.4942

1.550 .0554 0,.8448 0.8209 0.8242 0.5208 0.4929

1.575 .0065 0,.8360 0.8332 0.7845 0.5119 0.4916

1.600 o'..9849 0,.8405 0.8423 0.7473 0.5051 0.4904

1.625 0..9422 0,.8412 0.8550 0.7136 0.5000 0.4891

1.650 0..9344 0,.8508 0.8723 0.6840 0.4962 0.4878

1.675 0..9244 0,.8663 0.8794 0.6581 0.4939 0.4865

1.700 0,.9064 0,.8795 0.9015 0.6357 0.4926 0.4853

1.725 0,.8942 0,.8866 0.9120 0.6163 0.4920 0.4842

1.750 0..8778 0,.8957 0.9334 0.5996 0.4920 0.4832

1.775 0,.8823 0,.9010 0.9487 0.5853 0.4925 0.4824

1.800 0,.8758 0,.8973 0.9726 0.5732 0.4934 0.4817

1.825 0,.8731 0,.9041 1.0009 0.5628 0.4945 0.4814

1.850 0,.8723 0,.9104 1.0175 0.5540 0.4958 0.4814

1.875 0,.8769 0,.9106 1.0422 0.5466 0.4973 0.4817

1.900 0..8837 0,.9144 1.0676 . 5404 0.4988 0.4823

1.925 0,.8877 0,.9119 1.0908 0.5352 0.5002 0.4833

1.950 0,.9003 0,,9159 1.1049 0.5309 0.5017 0.4846

1.975 0..9112 0,,9200 1.1168 0.5274 0.5030 0.4860

2.000 0..9031 0,,9296 1.1338 0.5245 0.5042 0.4876

2.025 0,.9224 0,,9337 1.1309 0.5222 0.5054 0.4893

2.050 0,.9209 0,,9403 1.1276 0.5205 0.5065 0.4910

2.075 0..9246 0,,9524 1.1152 0.5191 0.5075 0.4926

2.100 0,.9403 0,,9613 1.1014 0.5181 0.5084 0.4940

2.125 0,.9312 0,,9711 1.0910 0.5175 0.5093 0.4954

2.150 0,.9365 0,,9895 1.0685 0.5170 0.5103 0.4965

2.175 0,.9391 1,,0072 1.0454 0.5168 0.5112 0.4974

2.200 0,.9321 1,,0237 1.0267 0.5166 0.5122 0.4981

2.225 0,.9349 1,,0346 1.0131 0.5166 0.5132 0.4986

2.250 0,.9369 1,,0454 0.9978 0.5167 0.5141 0.4989

2.275 0,.9246 1.,0557 0.9842 0.5168 0.5149 0.4991

2.300 0,.9170 1.,0701 0.9714 0.5169 0.5158 0.4992

2.325 0,.9120 1,,0802 0.9600 0.5169 0.5165 0.4991

2.350 0,,9133 1,,0856 0.9557 0.5170 0.5172 0.4990

2.375 0,.9121 1.,0906 0.9511 0.5171 0.5178 0.4988

2.400 0,.9136 1.,0926 0.9492 0.5172 0.5183 0.4986

2.425 0,,9044 1,,0977 0.9498 0.5173 0.5185 0.4983

2.450 0,.8964 1,,0903 0.9519 0.5173 0.5187 0.4981

2.475 0,.9033 1,,0796 0.9540 0.5172 0.5186 0.4978

2.500 0,.9027 1,,0756 0.9592 0.5171 0.5183 0.4976

2.525 0,.9092 1,,0626 0.9598 0.5170 0.5179 0.4974

76
550

575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

3.000

3.025

3.050

3.075

3.100

3.125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

525

550

575

600

3.625

650

675

700

725

750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9068

0.9183

0.9254

0.9260

0.9358

0.9362

0.9354

0.9468

0.9526

0.9684

0.9797

0.9795

0.9882

0.9969

1.0143

1.0092

1.0294

1.0363

1 . 0444

1.0597

1.0581

1.0676

1.0634

1.0717

1.0766

1.0767

1.0668

0736

0673

0631

0528

,0534

1.0527

1.0487

1 . 0440

1.0365

1.0249

1.0185

1.0156

1.0113

1.0075

1.0073

0.9954

0.9961

0.9904

0.9925

0.9867

0.9888

0.9810

0.9832

0.9791

0.9791

0.9766

0.9745

0.9770

0.9788

0.9741

0.9758

1

.

0000

1.0563

1.0433

1.0330

1.0260

1.0136

1.0090

0.9953

0.9893

0.9845

0.9770

0.9739

0.9701

0.9675

0.9674

0.9657

0.9646

0.9670

0.9678

0.9696

0.9717

0.9717

0.9751

0.9782

0.9770

0.9829

0.9831

0.9845

0.9890

0.9891

0.9944

0.9941

0.9983

0.9992

1.0023

1.0031

1.0077

1.0060

1.0074

1.0110

1.0135

1.0121

1.0123

1.0134

1.0138

1.0113

1.0105

1.0117

1.0122

1.0098

1.0096

1.0096

1.0077

1.0055

1.0047

1.0028

0.9999

0.9980

1.0006

1.0000

0.9703

0.9682

0.9788

0.9827

0.9867

0.9933

0.9988

1.0036

1.0092

1.0132

1.0193

1.0215

1.0248

1.0267

1.0293

1.0259

1.0246

1.0241

1.0225

1.0209

1.0182

1.0175

0142

0097

0063

0016

0.9992

0.9955

0.9917

0.9918

0.9902

0.9903

0.9888

0.9903

0.9886

0.9910

0.9911

0.9927

0.9937

0.9913

0.9960

0.9990

1.0002

1.0018

1.0037

1.0051

1.0083

1.0071

1.0070

1.0082

1.0084

1.0103

0090

0095

0081

0095

0076

0077

0000

0.5168

0.5166

0.5164

0.5162

0.5160

0.5159

0.5157

0.5156

0.5155

0.5155

0.5155

0.5156

0.5157

0.5158

0.5160

0.5162

0.5165

0.5168

0.5171

0.5174

0.5178

0.5181

0.5184

0.5186

0.5189

0.5191

0.5192

0.5193

0.5192

0.5191

0.5189

0.5186

0.5182

0.5179

0.5175

0.5170

0.5164

0.5158

0.5151

0.5144

0.5137

0.5129

0.5122

0.5114

0.5107

0.5099

0.5092

0.5086

0.5080

0.5074

0.5068

0.5063

0.5058

0.5054

0.5050

0.5047

0.5044

0.5041

0.5039

0.5172

0.5164

0.5154

0.5144

0.5132

0.5119

0.5107

0.5094

0.5082

0.5070

0.5060

0.5050

0.5040

0.5033

0.5026

0.5021

0.5016

0.5013

0.5011

0.5009

0.5008

0.5008

0.5009

0.5009

0.5011

0.5012

0.5014

0.5016

0.5018

0.5020

0.5022

0.5023

0.5025

0.5027

0.5028

0.5030

0.5031

0.5032

0.5033

0.5034

0.5034

0.5035

0.5035

0.5035

0.5034

0.5034

0.5033

0.5032

0.5031

0.5030

0.5029

0.5027

0.5026

0.5024

0.5022

0.5021

0.5019

0.5018

0.5016

0.4972

0.4970

0.4968

0.4967

0.4966

0.4966

0.4965

0.4965

0.4966

0.4967

0.4968

0.4970

0.4971

0.4973

0.4975

0.4978

0.4980

0.4982

0.4984

0.4985

0.4987

0.4988

0.4990

0.4991

0.4991

0.4992

0.4992

0.4992

0.4992

0.4992

0.4991

0.4991

0.4990

0.4990

0.4990

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4990

0.4990

0.4991

0.4991

0.4992

0.4992

0.4993

0.4993

0.4994

0.4994

0.4995

0.4996

0.4996

0.4996

0.4997

77
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . ^^22/^11= 2.00 p*= 0.303 x^-0. 7500 .22,Aii= 0. 50

R* Sll §12 §22 ^11 ^12 ^22

0.850 0.0000 0.0001 0.0017 1.0000 1.0000 .0000

0.875 0.0002 0.0014 0.0320 1.0000 1.0000 .0005

0.900 0.0041 0.0244 0.1766 1.0000 1.0000 .0032

0.925 0.0559 0.1369 0.5794 1.0000 1.0000 .0128

0.950 0.2777 0.4558 1.1612 1.0000 1.0000 .0335

0.975 0.8523 0.9428 1.7436 1.0000 1.0000 .0643

1.000 1.6632 1.4642 2.1272 1.0000 1.0000 .1004

1.025 2.4803 1.8862 2 . 3047 1.0000 1.0000 .1361

1.050 3.0599 2.0953 2.2584 1.0000 1.0000 .1676

1.075 3.3758 2.1684 2.1324 1.0000 1.0000 .1937

1.100 3.4382 2.1175 1.9279 1.0000 1.0000 .2144

1.125 3.3164 1.9926 1.7333 1.0000 1.0000 .2301

1.150 3.0755 1.8434 1.5325 1.0000 0.9999 .2415

1.175 2.8009 1.6926 1.3611 1.0000 0.9992 .2493

1.200 2.5401 1.5431 1.2179 1.0000 0.9968 .2542

1.225 2.3042 1.4158 1.0948 1.0000 0.9905 .2568

1.250 2.0704 1.2950 1.0032 1.0000 0.9783 .2575

1.275 1.8918 1.1881 0.9252 1.0000 0.9596 .2568

1.300 1.7265 1.0981 0.8661 1.0000 0.9357 0,.2552

1.325 1.5791 1.0311 0.8232 1.0000 0.9088 .2530

1.350 1.4501 0.9733 0.7994 0.9998 0.8815 .2506

1.375 1.3470 0.9334 0.7724 0.9992 0.8556 .2482

1.400 1.2550 0.8975 0.7708 0.9974 0.8324 0,.2459

1.425 1.1703 0.8666 0.7791 0.9936 0.8123 0,.2440

1.450 1.1061 0.8502 0.7946 0.9868 0.7953 0,.2424

1.475 1.0617 0.8341 0.8345 0.9768 0.7813 0,.2414

1.500 1.0031 0.8403 0.8625 0.9635 0.7699 0..2408

1.525 0.9790 0.8453 0.8929 0.9476 0.7610 0,.2406

1.550 0.9480 0.8572 0.9230 0.9302 0.7542 0,.2407

1.575 0.9250 0.8744 0.9383 0.9124 0.7492 0,,2410

1.600 0.9087 0.9020 0.9472 0.8949 0.7458 0,,2413

1.625 0.8939 0.9278 0.9457 0.8782 0.7437 0,,2414

1.650 0.8835 0.9476 0.9519 0.8628 0.7427 0.,2415

1.675 0.8830 0.9776 0.9566 0.8488 0.7426 0.,2415

1.700 0.8812 0.9935 0.9572 0.8364 0.7432 0,,2414

1.725 0.8727 1.0085 0.9427 0.8255 0.7443 0,,2411

1.750 0.8758 1.0178 0.9601 0.8160 0.7458 0.,2407

1.775 0.8952 1.0186 0.9570 0.8077 0.7476 0,,2403

1.800 0.8971 1.0164 0.9797 0.8007 0.7494 0,,2400

1.825 0.9083 1.0100 0.9942 0.7948 0.7512 0.,2399

1.850 0.9311 1.0008 1.0065 0.7898 0.7530 0.,2400

1.875 0.9476 0.9868 1.0233 0.7857 0.7546 0,,2402

1.900 0.9652 0.9783 1.0427 0.7824 0.7560 0.,2406

1.925 0.9885 0.9676 1.0532 0.7799 0.7572 0.,2412

1.950 1.0035 0.9591 1.0748 0.7780 0.7582 0.,2419

1.975 1.0231 0.9481 1.0792 0.7767 0.7588 0.,2427

2.000 1 . 0442 0.9493 1.0902 0.7757 0:7592 0..2437

2.025 1.0576 0.9478 1.0877 0.7752 0.7594 0. 2446

2.050 1.0762 0.9433 1.0965 0.7750 0.7594 0.,2455

2.075 1.0808 0.9484 1.0822 0.7751 0.7592 0.,2464

2.100 1.0955 0.9515 1.0744 0.7753 0.7590 0. 2472

2.125 1.0878 0.9597 1.0541 0.7757 0.7588 0. 2479

2.150 1.0878 0.9706 1.0451 0.7762 0.7586 0. 2484

2.175 1.0859 0.9833 1.0315 0.7767 0.7585 0. 2488

2.200 1.0625 0.9932 1.0173 0.7772 0.7585 0. 2491

2.225 1.0607 1.0047 1.0017 0.7776 0.7585 0. 2493

2.250 1.0471 1.0150 1.0007 0.7780 0.7585 0. 2494

2.275 1.0268 1.0288 0.9911 0.7783 0.7587 0. 2494

2.300 1.0219 1.0392 0.9768 0.7785 0.7589 0. 2493

2.325 1.0047 1.0492 0.9722 0.7785 0.7592 0. 2492

2.350 0.9921 1.0567 0.9675 0.7785 0.7595 0. 2490

2.375 0.9811 1.0552 0.9683 0.7783 0.7598 0. 2488

2.400 0.9725 1.0571 0.9696 0.7780 0.7600 0. 2487

2.425 0.9573 1.0540 0.9702 0.7775 0.7600 0. 2485

2.450 0.9557 1.0526 0.9698 0.7769 0.7601 0. 2484

2.475 0.9407 1.0460 0.9725 0.7762 0.7600 0. 2483

2.500 0.9305 1.0358 0.9805 0.7754 0.7598 0. 2482

2.525 0.9296 1.0295 0.9832 0.7745 0.7595 0. 2481

78
550

575

600

625

650

2.675

,700

,725

,750

J15

800

825

850

875

900

925

950

975

000

025

3.050

3.075

3.100

3.125

150

175

200

225

3.250

3.275

3.300

3.325

3.350

3.375

,400

,425

,450

,475

,500

,525

,550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9319

0.9263

0.9302

0.9257

0.9358

0.9396

0.9454

0.9425

0.9529

0.9539

0.9687

0.9694

0.9822

0.9848

0.9950

1 . 0044

1.0134

1.0208

1.0280

1.0344

1.0394

1.0418

1.0454

1.0490

1.0468

0466

0436

0409

0396

,0343

1.0331

1.0310

1.0224

1.0206

1.0140

1.0164

1.0051

1.0013

1.0004

1.0004

0.9916

0.9914

0.9904

0.9891

0.9853

0.9891

0.9830

0.9904

0.9854

0.9849

0.9862

0.9898

0.9895

0.9915

0.9938

0.9945

0.9997

0.9987

1 . 0000

1.0227

1.0174

1.0078

0.9997

0.9954

0.9892

0.9877

0.9854

0.9834

0.9782

0.9753

0.9771

0.9806

0.9810

0.9846

0.9862

0.9909

0.9908

0.9955

0.9991

0.9978

1.0011

0.9999

1.0026

1.0016

1.0015

0.9995

1.0035

1.0019

0.9990

1.0002

1.0016

1.0025

1.0007

1.0038

1.0017

1.0054

1.0054

1.0074

1.0065

1.0087

1.0082

1.0099

1.0102

1.0103

1.0103

1.0093

0.9848

0.9987

0.9997

0.9964

1.0014

0098

0070

0095

0073

0078

0098

0083

0060

0064

0058

0034

0000

,0009

,0039

,0076

,0066

,0033

,0049

0085

,0067

0081

0091

,0118

0145

1.0198

1.0181

1.0125

1.0119

1.0115

1.0065

1.0059

1.0071

1.0016

0.9984

0.9961

0.9937

0.9921

0.9884

0.9906

0.9896

0.9972

0.9972

0.9938

1.0015

1.0017

1.0051

1.0028

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0000

0000

0000

0000

0000

0000

0000

1 . 0000

0000

0000

0000

0000

0000

0.7735

0.7725

0.7715

0.7705

0.7695

0.7686

0.7678

0.7670

0.7662

0.7656

0.7650

0.7645

0.7642

0.7638

0.7636

0.7634

0.7634

0.7633

0.7634

0.7634

0.7635

0.7636

0.7637

0.7638

0.7639

0.7640

0.7640

0.7640

0.7640

0.7639

0.7637

0.7636

0.7634

0.7631

0.7628

0.7625

0.7621

0.7617

0.7613

0.7608

0.7603

0.7599

0.7594

0.7590

0.7586

0.7581

0.7577

0.7574

0.7570

0.7567

0.7564

0.7562

0.7559

0.7557

0.7556

0.7554

0.7553

0.7552

0.7551

0.7591

0.7587

0.7581

0.7575

0.7568

0.7561

0.7554

0.7547

0.7540

0.7534

0.7528

0.7522

0.7518

0.7515

0.7512

0.7509

0.7508

0.7507

0.7506

0.7506

0.7507

0.7507

0.7508

0.7510

0.7511

0.7512

0.7513

0.7514

0.7515

0.7516

0.7517

0.7518

0.7518

0.7519

0.7519

0.7519

0.7519

0.7519

0.7519

0.7519

0.7519

0.7518

0.7518

0.7518

0.7518

0.7518

0.7517

0.7517

0.7517

0.7517

0.7516

0.7516

0.7516

0.7516

0.7515

0.7515

0.7514

0.7513

0.7512

0.2481

0.2481

0.2481

0.2481

0.2481

0.2482

0.2482

0.2482

0.2482

0.2483

0.2483

0.2483

0.2484

0.2484

0.2484

0.2485

0.2486

0.2487

0.2488

0.2489

0.2489

0.2490

0.2491

0.2491

0.2492

0.2492

0.2492

0.2493

0.2492

0.2492

0.2492

0.2492

0.2492

0.2491

0.2492

0.2492

0.2492

0.2492

0.2492

0.2493

0.2493

0.2493

0.2493

0.2493

0.2493

0.2493

0.2494

0.2494

0.2494

0.2494

0.2494

0.2494

0.2494

0.2494

0.2495

0.2495

0.2495

0.2495

0.2495

79
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . ^22/''ll"

2.00 p*= 0.466 x^- 0.9005 €„„/c,,= ^22/^11° 0.50

R*

'11 '12 '22 11 12 22

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

150

,175

,200

225

,250

275

300

325

,350

375

1.400

1.425

1.450

1.475

1.500

1.525

1.550

1.575

600

625

650

675

700

1.725

1.750

1.775

1.800

1.825

1.850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

2.050

2.075

2.100

2.125

2.150

2.175

200

225

250

275

300

2.325

2.350

.375

.400

.425

.450

.475

2.500

2.525

0.0000

0.0001

0.0041

0.0463

0.2547

0.7545

1.4615

2.1582

2.6726

2.9062

2.9491

2.8042

2.6138

2.3824

.1492

,9507

,7514

,5988

,4521

,3380

,2312

,1432

,0761

,0114

0.9684

0.9241

0.8932

0.8641

0.8465

0.8312

0.8243

0.8137

0.8166

0.8134

0.8288

0.8388

0.8583

0.8731

0.8933

0.9202

. 9449

0.9693

1.0007

1.0271

1.0575

.0828

.1114

.1337

.1466

.1545

.1646

.1601

1.1628

1.1524

1.1393

1.1205

1.1028

1.0837

1.0586

1.0407

1.0226

1.0036

0.9938

0.9748

0.9643

0.9507

0.9454

0.9382

0.0000

0.0013

0.0221

0.1325

0.4193

0.8604

1.3301

1.6950

1.8785

1.9303

1.8659

1.7532

1.6269

1.4958

1.3407

1.2447

1.1282

1.0421

0.9741

0.9226

0.8655

0.8352

0.8107

0.7983

0.7941

0.7986

0.8110

0.8276

0.8602

0.8932

0.9332

0.9694

1.0107

1.0435

1.0751

1.0924

1.0990

1.0999

1.0910

1.0779

1.0572

1.0433

1.0242

1.0030

0.9821

0.9721

0.9580

0.9579

0.9473

0.9501

0.9529

0.9534

0.9636

0.9754

0.9847

0.9950

1.0146

1.0179

1.0276

1.0438

1 . 0445

1.0523

1.0527

1.0579

1.0506

1.0438

1.0326

1.0256

0.0024

0.0364

0.2120

0.6302

1.2766

1.8455

2.2429

2.3127

2.2821

2.0990

1.8795

1.6685

1.4623

1.3079

1.1681

1.0347

0.9622

0.9046

0.8476

0.7986

0.7583

0.7706

0.7768

0.7793

0.8264

0.8443

0.8855

0.9341

0.9561

0.9692

0.9920

0.9948

0.9783

0.9473

0.9572

0.9517

0.9471

0.9473

0.9519

0.9595

0.9827

0.9977

1.0246

1.0311

1.0488

1.0707

1.0675

1.0726

1.0824

1.0679

1.0687

1.0379

,0312

,0425

,0247

,0198

,0123

0.9888

0.9846

0.9840

0.9766

0.9816

0.9760

0.9778

0.9975

0.9999

1.0035

1.0091

.0000

.0000

.0000

.0000

,0000

.0000

,0000

.0000

1.0000

1.0000

1.0000

1.0000

1 . 0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9997

0.9990

0.9977

0.9952

0.9916

0.9867

0.9809

0.9743

0.9675

0.9607

0.9542

0.9480

0.9424

0.9374

0.9329

0.9290

0.9257

0.9230

0.9207

0.9189

0.9175

0.9164

0.9157

0.9153

0.9151

0.9151

0.9153

0.9156

0.9160

0.9164

0.9169

0.9174

0.9178

0.9182

0.9185

0.9188

0.9189

0.9190

0.9190

0.9188

0.9186

0.9183

0.9179

0.9174

0.9168

0.9162

0.9155

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9999

0.9997

0.9986

0.9959

0.9908

0.9829

0.9727

0.9610

0.9490

0.9375

0.9271

0.9178

0.9101

0.9038

0.8988

0.8950

0.8923

0.8906

0.8896

0.8894

0.8898

0.8906

0.8917

0.8930

0.8944

0.8959

0.8974

0.8988

0.9001

0.9011

0.9020

0.9028

0.9033

0.9036

0.9039

0.9039

0.9039

0.9037

0.9036

0.9034

0.9031

0.9030

0.9029

0.9029

0.9029

0.9031

0.9032

0.9033

0.9035

0.9037

0.9039

0.9041

0.9042

0.9043

0.9043

0.9042

0.0000

0.0002

0.0014

0.0055

0.0142

0.0273

0.0430

0.0587

0.0729

0.0849

0.0942

0.1012

0.1060

0.1089

0.1104

0.1105

0.1097

0.1083

0.1066

0.1046

0.1026

0.1007

0.0992

0.0980

0.0970

0.0965

0.0961

0.0961

0.0962

0.0964

0.0967

0.0970

0.0971

0.0971

0.0970

0.0968

0.0966

0.0963

0.0961

0.0959

0.0957

0.0957

0.0958

0.0960

0.0962

0.0965

0.0969

0.0973

0.0977

0.0980

0.0983

0.0986

0.0988

0.0989

0.0990

0.0991

0.0992

0.0992

0.0991

0.0990

0.0990

0.0989

0.0989

0.0988

0.0988

0.0988

0.0988

0.0989

-80
2.550

2.515

2.600

2.625

2.650

2.675

2.700

.725

.750

,775

.800

2.825

2.850

2.875

.900

.925

.950

.975

.000

.025

.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

500

525

550

,575

600

,625

3.650

3.675

.700

.725

.750

.775

.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9370

0.9310

0.9289

0.9313

0.9336

0.9365

0.9400

0.9456

0.9531

0.9591

0.9670

0.9741

0.9846

0.9914

1.0011

1.0063

1.0134

1.0171

1.0241

1.0299

1.0323

1.0365

1.0392

1.0341

1.0333

1.0328

1.0318

1.0277

1.0240

1.0183

1.0171

1 . 0104

1.0057

1.0012

0.9974

0.9934

0.9883

0.9826

0.9828

0.9800

0.9795

0.9781

0.9782

0.9780

0.9774

0.9787

0.9794

0.9826

0.9832

0.9855

0.9882

0.9911

0.9940

0.9936

0.9986

1.0011

1.0029

1.0020

1.0000

1.0222

1.0134

1.0095

1.0009

0.9957

0.9943

0.9861

0.9830

0.9846

0.9835

0.9889

0.9887

0.9926

0.9920

0.9984

0.9970

0.9998

0021

0087

0080

0108

0121

1.0097

,0082

,0068

,0100

,0059

0068

1 . 0045

1.0032

0.9992

1.0003

0.9990

0.9978

0.9975

0.9986

0.9999

0.9997

1.0009

1.0005

1.0041

1.0025

1.0041

1.0062

1.0057

1.0096

1.0060

1.0056

1.0050

1.0090

1.0090

1.0067

0082

0046

0014

0055

0054

0040

0000

1.0153

1.0117

1.0084

1.0039

0.9958

1.0041

0.9879

1.0069

1.0110

0.9972

1.0038

0.9943

1.0124

1.0114

1.0153

1.0132

1.0041

1.0083

1.0124

1.0205

1.0200

1.0000

1.0000

1 . 0000

1.0000

1.0000

1.0000

1 . 0000

1.0000

1.0000

1 . 0000

1.0000

1.0000

1.0000

1.0000

1.0000

1 . 0000

1 . 0000

1 . 0000

1 . 0000

1.0000

1.0000

1.0000

1.0000

1 . 0000

1.0000

1 . 0000

1.0000

1 . 0000

1 . 0000

1.0000

1.0000

1 . 0000

1.0000

0000

0000

0000

0000

0000

0.9148

0.9140

0.9133

0.9125

0.9118

0.9111

0.9104

0.9098

0.9093

0.9088

0.9084

0.9080

0.9077

0.9075

0.9073

0.9071

0.9070

0.9070

0.9069

0.9069

0.9069

0.9069

0.9070

0.9070

0.9070

0.9070

0.9070

0.9070

0.9070

0.9069

0.9069

0.9068

0.9067

0.9065

0.9063

0.9062

0.9060

0.9058

0.9056

0.9053

0.9051

0.9049

0.9047

. 9044

0.9042

0.9040

0.9038

0.9036

0.9035

0.9033

0.9032

0.9031

0.9030

0.9029

0.9028

0.9028

0.9027

0.9027

0.9027

0.9041

0.9040

0.9038

0.9035

0.9033

0.9030

0.9027

0.9024

0.9022

0.9019

0.9017

0.9015

0.9013

0.9012

0.9011

0.9010

0.9009

0.9009

0.9008

0.9008

0.9009

0.9009

0.9010

0.9010

0.9011

0.9011

0.9011

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9011

0.9011

0.9010

0.9010

0.9010

0.9010

0.9009

0.9009

0.9009

0.9009

0.9010

0.9009

0.9009

0.9009

0.9009

0.9009

0.9009

0.9009

0.9009

0.9009

0.9009

0.9008

0.9008

0.9008

0.9008

0.9008

0.0989

0.0990

0.0990

0.0990

0.0991

0.0991

0.0991

0.0990

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0992

0.0992

0.0992

0.0992

0.0993

0.0993

0.0993

0.0993

0.0993

0.0993

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

81-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-l . "22/''ir

= 2.00 p*- 0.583 x^-O. 9502 e^.i/^r ^• 50

R* Sll ^12 ^22 ^11 ^12 ^22

0.850 0.0000 .0000 0.0050 1.0000 1.0000 0.0000

0.875 0.0001 .0021 0.0355 1.0000 1.0000 0.0001

0.900 0.0038 .0246 0.2479 1.0000 1.0000 0.0008

0.925 0.0492 .1531 0.7401 1.0000 1.0000 0.0031

0.950 0.2487 .4601 1.4382 1.0000 1.0000 0.0079

0.975 0.7323 .9118 1.9908 1.0000 1.0000 0.0150

1.000 1.4097 .3854 2.3715 1.0000 1.0000 0.0234

1.025 2.0592 .7403 2.3730 1.0000 1.0000 0.0317

1.050 2.5179 .9098 2.1697 1 . 0000 1.0000 0.0388

1.075 2.7409 .9298 1.9648 1.0000 1.0000 0.0445

1.100 2.7346 .8397 1.7265 1.0000 1.0000 0.0489

1.125 2.5954 .7206 1.5130 1.0000 1.0000 0.0521

1.150 2.4054 .5698 1.3258 1.0000 1.0000 0.0541

1.175 2.1715 .4313 1.1509 1.0000 0.9998 0.0551

1.200 1.9589 .2909 1.0022 1.0000 0.9992 0.0552

1.225 1.7529 .1674 0.9004 1.0000 0.9977 0.0547

1.250 1.5845 .0721 0.7916 1.0000 0.9949 0.0537

1.275 1.4343 0..9870 0.7810 1.0000 0.9905 0.0524

1.300 1.2983 0..9145 0.7355 1.0000 0.9850 0.0511

1.325 1.1960 0..8556 0.7324 1.0000 0.9788 0.0498

1.350 1.1060 0..8178 0.7178 1.0000 0.9724 0.0487

1.375 1.0258 0..7965 0.6910 0.9998 0.9664 0.0477

1.400 0.9628 0,.7730 0.7338 0.9994 0.9612 0.0469

1.425 0.9115 0,.7708 0.7926 0.9986 0.9568 0.0463

1.450 0.8653 0..7666 0.8478 0.9973 0.9531 0.0461

1.475 0.8336 0..7718 0.9233 0.9953 0.9502 0.0460

1.500 0.8017 0,.7980 0.9963 0.9926 0.9479 0.0462

1.525 0.7811 0,.8270 1.0629 0.9894 0.9463 0.0466

1.550 0.7624 0,.8662 1.0707 0.9859 0.9453 0.0471

1.575 0.7559 0,.9108 1.0492 0.9822 0.9448 0.0476

1.600 0.7477 0,.9608 1.0760 0.9785 0.9448 0.0480

1.625 0.7535 1,.0161 1.0495 0.9750 0.9451 0.0483

1.650 0.7593 1,.0545 1.0391 0.9717 0.9458 0.0486

1.675 0.7690 1,.0975 1.0012 0.9688 0.9466 0.0487

1.700 0.7835 1..1184 1.0153 0.9661 0.9476 0.0488

1.725 0.8038 1,.1347 1.0111 0.9638 0.9486 0.0489

1.750 0.8257 1,.1391 0.9847 0.9619 0.9495 0.0488

1.775 0.8504 1,.1244 0.9434 0.9603 0.9504 0.0487

1.800 0.8780 1..1190^ 0.9973 0.9589 0.9513 0.0486

1.825 0.9090 1.,0961 1.0055 0.9579 0.9521 0.0486

1.850 0.9410 1..0623 1.0091 0.9571 0.9528 0.0486

1.875 0.9719 1.,0338 1.0180 0.9565 0.9533 0.0487

1.900 1.0078 1.,0209 1.0777 0.9562 0.9537 0.0488

1.925 1.0413 0,,9929 1.0930 0.9560 0.9539 0.0490

1.950 1.0723 0,,9718 1.1111 0.9560 0.9540 0.0493

1.975 1.0978 0,,9521 1.1351 0.9561 0.9539 0.0496

2.000 1.1265 0,,9441 1.1244 0.9563 0.9538 0.0499

2.025 1.1527 0,,9348 1.1359 0.9566 0.9535 0.0501

2.050 1.1667 0,,9250 1.1200 0.9569 0.9531 0.0504

2.075 1.1764 0.,9245 1.1222 0.9573 0.9527 0.0507

2.100 1.1830 0,,9326 1.1181 0.9577 0.9524 0.0509

2.125 1.1839 0.,9363 1.0840 0.9581 0.9521 0.0511

2.150 1.1742 0.,9414 1.0851 0.9584 0.9518 0.0512

2.175 1.1626 0.,9606 1.0488 0.9587 0.9516 0.0513

2.200 1.1425 0.,9721 1.0566 0.9590 0.9514 0.0514

2.225 1.1222 0.,9799 1.0527 0.9592 0.9513 0.0514

2.250 1.1014 0.,9944 1.0484 0.9594 0.9512 0.0514

2.275 1.0784 ,0108 1.0415 0.9595 0.9512 0.0515

2.300 1.0541 0218 1.0143 0.9596 0.9511 0.0515

2.325 1.0329 0252 1.0309 0.9595 0.9511 0.0514

2.350 1.0130 0370 1.0362 0.9595 0.9512 0.0515

2.375 0.9930 0403 1.0118 0.9593 0.9513 0.0514

2.400 0.9776 0345 1.0716 0.9591 0.9514 0.0515

2.425 0.9601 0350 1.0504 0.9588 0.9514 0.0515

2.450 0.9509 0253 1.0377 0.9585 0.9514 0.0516

2.475 0.9373 0243 1.0318 0.9581 0.9514 0.0516

2.500 0.9295 0087 1.0263 0.9577 0.9513 0.0516

2.525 0.9244 0026 1.0420 0.9573 0.9512 0.0516

-82-
.550

.575

.600

.625

,650

,675

,700

,725

,750

,775

800

,825

850

875

900

925

950

975

,000

,025

,050

,075

100

125

150

175

200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

850

0.9197

0.9180

0.9192

0.9219

0.9253

0.9318

0.9402

0.9470

0.9548

0.9648

0.9754

0.9867

0.9922

1.0060

1.0171

3.875

900

925

950

975

000

0212

,0321

,0367

,0415

,0457

1.0459

1.0486

1.0486

1.0458

1.0433

1.0421

1.0363

1.0315

1.0262

1.0204

1.0137

1.0077

1.0032

0.9980

0.9923

0.9905

0.9861

0.9846

0.9815

0.9806

0.9812

0.9787

0.9789

0.9812

0.9829

0.9846

0.9868

0.9891

0.9914

0.9960

0.9987

1.0020

1.0029

1.0066

1.0077

1.0111

1.0131

1.0139

1.0000

0.9930

0.9855

0.9787

0.9751

0.9704

0.9666

0.9642

0.9612

0.9652

0.9699

0.9728

0.9751

0.9796

0.9842

0.9834

0.9872

0.9881

0.9950

0.9928

0.9980

0.9983

0.9978

0.9964

0.9977

0.9953

0.9887'

0.9903

0.9872

0.9872

0.9849

0.9870

0.9887

0.9875

0.9858

0.9889

0.9888

0.9907

0.9892

0.9925

0.9920

0.9961

0.9945

0.9972

0.9980

0.9993

0.9958

0.9999

0.9977

0.9997

1.0018

1.0029

1.0004

0.9999

1.0021

0.9978

1.0019

0.9978

1.0003

1.0000

1.0222

1.0240

1.0268

1.0314

1.0133

1.0198

1.0229

1.0286

1.0094

0.9957

1.0013

1.0053

1.0171

1.0048

1.0098

1.0077

1.0323

1.0340

1.0137

0039

0148

0088

0026

0010

0.9980

0.9940

1.0009

0.9824

0.9945

0.9943

0.9894

0.9926

0.9857

0.9814

0.9913

0.9904

1.0099

1.0069

1.0150

0.9931

0.9953

1.0058

0.9866

0093

0023

0181

0116

0002

1.0027

0.9974

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9568

0.9564

0.9559

0.9555

0.9551

0.9547

0.9543

0.9540

0.9537

0.9535

0.9533

0.9532

0.9530

0.9529

0.9529

0.9529

0.9529

0.9529

0.9529

0.9530

0.9530

0.9531

0.9532

0.9532

0.9533

0.9533

0.9534

0.9534

0.9534

0.9534

0.9534

0.9534

0.9533

0.9533

0.9532

0.9531

0.9530

0.9529

0.9528

0.9527

0.9526

0.9525

0.9524

0.9523

0.9522

0.9521

0.9520

0.9520

0.9519

0.9519

0.9518

0.9518

0.9518

0.9518

0.9518

0.9518

0.9518

0.9518

0.9518

0.9511

0.9509

0.9507

0.9505

0.9503

0.9501

0.9499

0.9496

0.9494

0.9493

0.9491

0.9490

0.9489

0.9488

0.9487

0.9487

0.9486

0.9486

0.9486

0.9485

0.9485

0.9485

0.9486

0.9485

0.9486

0.9486

0.9485

0.9485

0.9485

0.9484

0.9484

0.9484

0.9484

0.9484

0.9484

0.9484

0.9484

0.9484

0.9484

0.9484

0.9484

0.9484

0.9485

0.9485

0.9485

0.9485

0.9485

0.9486

0.9486

0.9486

0.9486

0.9487

0.9487

0.9487

0.9487

0.9487

0.9487

0.9487

0.9487

0.0516

0.0516

0.0516

0.0516

0.0516

0.0516

0.0515

0.0515

0.0515

0.0515

0.0514

0.0514

0.0514

0.0513

0.0513

0.0513

0.0513

0.0513

0.0513

0.0512

0.0512

0.0512

0.0512

0.0511

0.0511

0.0511

0.0510

0.0510

0.0509

0.0509

0.0509

0.0508

0.0508

0.0508

0.0507

0.0507

0.0507

0.0507

0.0507

0.0507

0.0506

0.0506

0.0506

0.0506

0.0506

0.0506

0.0506

0.0506

0.0505

0.0505

0.0505

0.0505

0.0505

0.0505

0.0505

0.0504

0.0504

0.0504

0.0504

83-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . ^22/^^11= 2.00 p*» 0.122 x^-0. 0498 £22 /^ir ^-^)0

R* Sll ^12 ^22 ^11 ^12 ^22

0.850 0.0000 0..0000 0,.0000 1.0000 1.0000 0..0000

0.875 0.0000 0..0003 0..0003 1.0000 1.0000 0,.0002

0.900 0.0000 0,.0052 0,.0091 1.0000 1.0000 0,.0041

0.925 0.1182 0,,0600 0..0995 1.0000 1.0000 0..0539

0.950 0.2882 0,.3197 0,.4575 1.0000 1.0000 0..2565

0.975 1.0487 0,.8819 1..1942 1.0000 1.0000 0,.5486

1.000 1.6905 1..7307 2,.0693 1.0000 1.0000 0,.7445

1.025 2.6955 2..4731 2..7616 1.0000 1.0000 0,.8429

1.050 3.4991 2..9344 3,.0784 1.0000 1.0000 0,.8918

1.075 3.6758 3,.1184 3..0402 1.0000 1.0000 0,.9176

1.100 3.7017 3..0692 2,.8081 1.0000 1.0000 0,.9324

1.125 3.3906 2,.8854 2..4647 1.0000 1.0000 0,.9414

1.150 3.3541 2..6195 2..1215 1.0000 0.9999 0,.9471

1.175 3.2757 2,.3050 1,.8047 1.0000 0.9996 0,.9509

1.200 2.8195 2,.0416 1,.5335 1.0000 0.9959 0,.9534

1.225 2.4071 1,.8138 1,.3052 1.0000 0.9686 0..9551

1.250 1.7662 1..6125 1..1222 1.0000 0.8678 0,.9562

1.275 2.0354 1,.4132 0,.9738 1.0000 0.6696 0,.9569

1.300 1.5218 1,.2487 0,.8603 1.0000 0.4514 0..9573

1.325 1.5637 1,.1395 0,.7685 0.9997 0.2932 0,.9573

1.350 1.4350 1,.0386 0..6975 0.9976 0.1976 0..9572

1.375 1.4215 0,.9493 0,.6434 0.9874 0.1417 0,.9568

1.400 1.2311 0,.8803 0,.6035 0.9443 0.1082 0,.9563

1.425 1.2594 0,.8353 0,.5747 0.8354 0.0875 0,.9557

1.450 1.1477 0,,7760 0,.5574 0.6668 0.0741 0..9549

1.475 1.0626 0,.7371 0,.5498 0.4869 0.0650 0..9541

1.500 1.0467 0..7099 0,.5485 0.3415 0.0586 0,.9531

1.525 0.9319 0,.6749. 0,.5535 0.2425 0.0541 0,.9521

1.550 0.9923 0,.6552 0,.5672 0.1793 0.0508 0,.9510

1.575 0.8970 0,,6373 0,.5894 0.1389 0.0484 0..9499

1.600 0.8410 0,.6242 0,.6140 0.1120 0.0466 0,.9488

1.625 0.8044 0,.6340 0,.6454 0.0936 0.0452 0,.9477

1.650 0.7324 0,.6249 0,.6860 0.0806 0.0443 0,.9467

1.675 0.7159 0..6234 0..7293 0.0711 0.0435 0,.9458

1.700 0.7949 0..6387 0..7823 0.0642 0.0431 0,.9450

1.725 0.6507 0,,6463 0,.8410 0.0589 0.0428 0,.9443

1.750 0.6983 0,.6640 0,.9009 0.0548 0.0427 0,.9437

1.775 0.6971 0,,6796 0,.9660 0.0517 0.0427 0.,9434

1.800 0.7581 0.,6965 1,.0305 0.0493 0.0428 0,,9431

1.825 0.6117 0.,7233 1,.0869 0.0473 0.0431 0,,9431

1.850 0.6290 0,.7405 1,.1424 0.0457 0.0434 0..9432

1.875 0.6823 0,.7688 1,.1851 . 0444 0.0438 0,.9435

1.900 0.6164 0,.8010 1,.2211 0.0434 0.0443 0,.9439

1.925 0.5966 0,.8293 1,.2497 0.0425 . 0449 0,.9444

1.950 0.7068 0,.8535 1..2708 0.0418 0.0455 0,.9451

1.975 0.5853 0,.8846 1,.2877 0.0413 0.0462 0,.9458

2.000 0.6358 0,.9163 1..2972 0.0409 0.0469 0,.9465

2.025 0.6061 0,.9506 1,.3001 0.0405 0.0476 0,.9472

2.050 0.7564 0,.9860 1,.2928 0.0404 0.0485 0,.9480

2.075 0.6242 .0055 1,.2766 0.0403 0.0493 0,.9488

2.100 0.6946 .0387 1..2464 0.0402 0.0501 0,.9495

2.125 0.6240 .0716 1,.2113 0.0401 0.0509 0..9501

2.150 0.7658 .0943 1,,1659 0.0402 0.0517 0,.9506

2.175 0.6811 .1079 1..1199 0.0403 0.0525 0..9511

2.200 . 7404 .1274 1,,0712 . 0404 0.0533 0.,9514

2.225 0.8201 .1545 1,.0248 0.0407 0.0540 0..9517

2.250 0.8591 .1722 0..9771 0.0410 0.0546 0..9518

2.275 0.7622 .1916 0,.9361 0.0414 0.0552 0..9519

2.300 0.7648 .2159 0,.9020 0.0417 0.0557 0.,9519

2.325 0.8634 .2226 0..8721 0.0420 0.0561 0.,9518

2.350 0.8686 .2334 0,.8483 0.0425 0.0565 0.,9517

2.375 0.8069 .2436 0,.8315 0.0429 0.0567 0.,9515

2.400 0.9006 .2423 0,,8179 0.0433 0.0569 0.,9513

2.425 0.8059 .2390 0,.8090 0.0438 0.0569 0. 9510

2.450 0.8786 .2341 0,,8097 . 0442 0.0569 0. 9507

2.475 0.9671 .2116 0,.8123 0.0447 0.0567 0.,9504

2.500 0.9340 .1806 0,.8215 0.0452 0.0565 0.,9501

2.525 0.9451 .1621 0,.8368 0.0457 0.0562 0.,9498

-84
2.550

2.575

2.600

2.625

2.650

675

700

725

750

775

800

2.825

2.850

875

900

925

950

975

000

3.025

3.050

3.075

100

125

150

175

200

3.225

,250

.275

.300

.325

.350

.375

.400

.425

.450

.475

.500

.525

.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3,975

4.000

0.9933

0.9872

1.0965

0.9877

0.9979

1.0722

1.1337

1.0371

1.0986

0.9813

0671

1877

1919

1572

1.1528

1.1822

1.1207

1.2359

1.2394

1.2253

1.2628

1.2760

.2028

.3346

.2349

.2456

.2431

.2489

.1423

,1478

1.2021

1.1527

1.1639

1.1277

1.1074

1.0519

1.0768

1.1176

1.1111

1.0605

1.0640

1.0175

0.9800

1.0094

0.9859

1.0239

1.0206

0.9247

0.9833

0.8700

0.9406

0.9254

0.8588

0.9228

0.8749

0.9332

0.9215

1.0041

1.0000

1.1275

1.0925

1.0622

1.0421

1.0104

0.9770

0.9486

0.9236

0.8979

0.8847

0.8743

0.8644

0.8592

0.8567

0.8490

0.8517

0.8599

0.8619

0.8687

0.8767

0.8849

0.8938

0.9129

0.9259

0.9361

0.9557

0.9651

0.9858

1.0007

1.0072

1.0196

1.0354

1.0438

1.0511

1.0656

1.0724

1.0808

1.0774

1.0864

1.0824

1.0874

1.0797

1.0832

1.0819

1.0688'

1.0677

1.0628

1.0518

1.0434

1.0388

1.0334

1.0223

1.0143

1.0021

0.9956

0.9818

0.9749

0.9670

1.0000

0.8560

0.8760

0.8993

0.9243

0.9527

0.9789

1.0068

0320

0550

0755

0955

1069

1165

1236

1238

1214

1147

1058

1.0954

1.0821

1.0670

1.0503

1.0333

1.0185

1.0015

0.9850

0.9705

0.9589

0.9462

0.9381

0.9304

0.9262

0.9225

0.9231

0.9224

0.9274

0.9329

0.9405

0.9489

0.9597

0.9717

0.9811

0.9947

1.0063

1.0163

1.0258

1.0355

1.0420

1.0486

1.0534

1.0542

1.0558

1.0532

1.0503

1.0464

1.0419

1.0356

1.0308

1.0000

0.0463

0.0468

0.0474

0.0480

0.0485

0.0490

0.0496

0.0501

0.0506

0.0510

0.0514

0.0518

0.0523

0.0527

0.0531

0.0534

0.0537

0.0540

0.0543

0.0546

0.0549

0.0551

0.0553

0.0554

0.0556

0.0557

0.0557

0,0557

0.0557

0.0556

0.0555

0.0554

0.0552

0.0551

0.0549

0.0546

0.0543

0.0541

0.0539

0.0536

0.0533

0.0530

0.0527

0.0524

0.0521

0.0518

0.0516

0.0513

0.0511

0.0508

0.0506

0.0504

0.0502

0.0500

0.0498

0,0497

0.0496

0.0496

0.0496

0.0559

0.0554

0.0549

0.0544

0.0539

0.0533

0.0528

0.0522

0.0516

0.0510

0.0505

0.0501

0.0496

0.0493

0.0489

0.0487

0.0485

0.0483

0.0482

0.0481

0.0481

0.0481

0.0482

0.0483

0.0484

0.0485

0.0487

0.0489

0.0491

0.0494

0.0496

0.0498

0.0501

0.0503

0,0505

0.0507

0.0509

0.0511

0.0512

0.0513

0.0514

0.0515

0.0516

0.0516

0.0516

0.0516

0,0515

0,0515

0,0514

0,0513

0,0512

0,0511

0,0509

0,0508

0.0507

0,0505

0,0504

0,0503

0,0502

0.9495

0.9492

0.9490

0.9488

0.9486

0.9485

0.9484

0.9484

0.9484

0.9485

0.9486

0.9487

0,9488

0.9490

0,9492

0,9493

0,9495

0.9497

0,9498

0,9500

0.9501

0.9501

0.9502

0.9502

0.9502

0.9502

0,9502

0.9501

0.9501

0.9500

0.9500

0.9499

0.9498

0.9497

0.9497

0.9496

0.9495

0.9495

0.9495

0.9494

0.9494

0.9494

0.9494

0.9494

0.9494

0.9495

0.9495

0.9496

0.9496

0.9497

0.9498

0.9498

0.9499

0.9499

0.9500

0.9500

0.9501

0.9501

0.9501

-85-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . '^22/''ir

2.00 p*= 0.127 x^=0. 0995 €22:/^ir ^• 00

R* Sll §12 §22 ^11 ^12 ^22

0.850 0.0000 0,,0000 0,.0000 1.0000 1.0000 0..0000

0.875 0.0000 0,.0001 0,.0003 1.0000 1.0000 0,.0001

0.900 0.0059 0,,0051 0,.0089 1,0000 1.0000 0,.0020

0.925 0.1057 0,,0571 0,.0960 1.0000 1.0000 0,.0257

0.950 0.4112 0.,3088 0..4442 1.0000 1.0000 0,.1387

0.975 1.2313 0.,8720 1,.1525 1.0000 1.0000 0,.3607

1.000 2.3982 1.,6698 2,.0256 1.0000 1.0000 0,.5758

1.025 3.6368 2,,4201 2,.6976 1.0000 1.0000 0,.7148

1.050 4.2598 2,,8943 3,.0144 1.0000 1.0000 0..7938

1.075 4.7022 3.,0930 2,,9875 1.0000 1.0000 0,.8389

1.100 4.7033 3,,0434 2,,7653 1.0000 1.0000 0..8659

1.125 4.5154 2.,8558 2.,4447 1.0000 1.0000 0,.8827

1.150 4.0766 2.,5881 2,,1088 1.0000 1.0000 0..8936

1.175 4.0531 2.,2839 1.,8024 1.0000 0.9998 0,.9009

1.200 3.6944 2.,0101 1.,5394 1.0000 0.9980 0,.9057

1.225 2.9331 1,,7983 1,,3218 1.0000 0.9853 0,.9090

1.250 2.6495 1.,5841: 1.,1419 1.0000 0.9338 0,.9111

1.275 2.4032 1.,3903 0,,9972 1.0000 0.8129 0..9125

1.300 2.0976 1.,2614 0.,8821 1.0000 0.6393 0..9131

1.325 2.1114 1,,1498 0,,7922 0.9999 0.4715 0,.9132

1.350 1.7519 1,,0347 0,,7220 0.9992 0.3454 0,.9129

1.375 1.6888 0.,9570 0,,6742 0.9955 0.2610 0,.9123

1.400 1.5489 0.,8861 0,,6288 0.9796 0.2062 0..9114

1.425 1.4154 0,,8345 0.,6021 0.9345 0.1702 0,.9103

1.450 1.3760 0,,7812 0,,5835 0.8464 0.1460 0,.9089

1.475 1.2620 0.,7381 0,,5730 0.7217 0.1292 0..9073

1.500 1.1040 0.,7105 0,,5750 0.5864 0.1173 0,.9056

1.525 1.0988 0,,6831 0,,5803 0.4662 0.1087 0..9038

1.550 1.0755 0,,6800 0,,5925 0.3723 0.1024 0..9020

1.575 0.9917 0,,6674 0.,6080 0.3030 0.0977 0,.9000

1.600 0.9312 0.,6579 0,,6328 0.2526 0.0943 0,.8981

1.625 0.9244 0.,6501 0,,6643 0.2159 0.0917 0.,8963

1.650 0.8634 0,,6558 0,,7014 0.1889 0.0898 0,,8946

1.675 0.8277 0,,6535 0,,7392 0.1687 0.0885 0.,8930

1.700 0.7689 0,,6605 0,,7862 0.1532 0.0875 0,,8916

1.725 0.8492 0.,6780 0,,8396 0.1414 0.0870 0,,8904

1.750 0.8157 0.,6945 0.,8932 0.1324 0.0868 0,,8894

1.775 0.7506 0..7049 0,,9524 0.1252 0.0868 0.,8886

1.800 0.7050 0,,7193 1.,0102 0.1194 0.0871 0,,8881

1.825 0.7258 0,,7454 1,,0619 0.1146 0.0875 0,,8880

1.850 0.7230 0.,7608 1,,1099 0.1108 0.0881 0,,8881

1.875 0.7499 0,,7859 1,,1490 0.1077 0.0888 0.,8884

1.900 0.7777 0,,8103 1,,1868 0.1053 0.0897 0,,8890

1.925 0.7807 0,.8342 1,,2206 0.1034 0.0908 0,,8899

1.950 0.7333 0,.8699 1.,2442 0.1018 0.0919 0,,8909

1.975 0.7869 0,.8904 1,,2627 0.1005 0.0931 0.,8921

2.000 0.7411 0,.9115 1,,2751 0.0994 0.0944 0,,8934

2.025 0.7891 0,.9481 1.,2829 0.0987 0.0957 0,,8947

2.050 0.8119 0..9636 1,,2810 0.0981 0.0971 0,,8961

2.075 0.7792 0,.9995 1,,2651 0.0978 0.0985 0.,8974

2.100 0.8567 1..0227 1,,2439 0.0976 0.1000 0.,8986

2.125 0.8367 1,.0463 1.,2133 0.0976 0.1014 0,,8997

2.150 0.8071 1,.0695 1..1710 0.0976 0.1028 0,,9007

2.175 0.8218 1,.0938 1..1284 0.0977 0.1041 0,,9016

2.200 0.7973 1..1098 1,.0827 0.0978 0.1054 0.,9022

2.225 0.8593 1,.1285 1..0389 0.0981 0.1066 0,,9027

2.250 0.7990 1,.1483 0,.9972 0.0984 0.1077 0.,9031

2.275 0.8477 1,.1703 0,.9585 0.0988 0.1087 0.,9033

2.300 0.8510 1,.1863 0,.9231 0.0992 0.1096 0.,9033

2.325 0.8856 1..2061 0,.8912 0.0997 0.1104 0.,9033

2.350 0.8910 1..2272 0,.8640 0.1002 0.1111 0.,9031

2.375 0.8428 1..2223 0,.8469 0.1007 0.1116 0. 9028

2.400 0.8774 1..2241 0,.8365 0.1012 0.1119 0.,9024

2.425 0.9597 1,.2274 0,,8256 0.1019 0.1120 0. 9019

2.450 0.9030 1,.2164 0..8246 0.1026 0.1120 0. 9014

2.475 0.9384 1..2025 0,,8274 0.1032 0.1119 0. 9009

2.500 0.9243 1,.1762 0,,8328 0.1038 0.1116 0. 9004

2.525 0.9553 1..1512 0,,8458 0.1045 0.1111 0. 8998

86
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

2.800

2.825

850

875

900

925

950

975

3.000

3.025

050

075

100

125

150

175

200

225

250

275

300

325

350

375

400

3.425

3.450

3.475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

000

0.9989

1.0227

0.9946

0.9868

0117

,0374

,0477

0907

0842

0919

0992

,1156

,1125

1.0702

1.1741

1.2019

1.1756

1.1538

1.1970

1.2158

1.2589

1.2546

1.2458

1.2192

1.2368

1.2674

1.2296

1.1813

1.2367

1.1575

1929

1092

1118

1133

0978

1.0275

1.0483

0.9666

1.0092

0.9842

1.0210

0.9491

. 9444

0.9368

0.9351

0.9517

0.9263

0.9335

0.9042

0.9219

0.9234

0.9169

0.9037

0.8975

0.9198

0.9393

0.9345

0.9210

1.0000

1.1278

1.0992

1.0680

1.0399

1.0107

0.9908

0.9645

0.9493

0.9303

0.9061

0.9027

0.8843

0.8769

0.8695

0.8671

0.8673

0.8682

0.8722

0.8783

0.8844

0.8915

0.8981

0.9094

0.9232

0.9377

0.9519

0.9617

0.9797

0.9938

0022

0191

0277

0402

0488

0542

1.0575

1.0628

0680

0689

0708

0774

0750

0732

1.0674

1.0621

1.0652

1.0558

1.0527

1.0427

1.0381

1.0304

1.0261

1.0174

1.0091

0.9998

0.9877

0.9845

0.9789

1.0000

0.8605

0.8801

0.9021

0.9287

0.9518

0.9757

1.0026

1.0245

1.0469

1.0640

1.0796

1.0933

1 . 1004

1.1051

1.1066

1.1041

1.1016

1.0963

1.0871

1.0754

1.0640

1.0491

1.0371

1.0238

1.0096

0.9967

0.9858

0.9717

0.9614

0.9530

0.9439

0.9391

0.9331

0.9335

0.9323

0.9349

0.9382

0.9449

0.9516

0.9616

0.9708

0.9814

0.9923

1.0016

1.0116

1.0211

1.0282

1.0360

1.0406

1 . 0446

1.0473

1.0467

1.0463

1.0458

1.0415

1.0374

1.0309

1.0284

1.0000

0.1052

0.1060

0.1067

0.1074

0.1080

0.1086

0.1093

0.1099

0.1106

0.1112

0.1117

0.1123

0.1128

0.1131

0.1135

0.1140

0.1144

0.1147

0.1150

0.1152

0.1155

0.1158

0.1160

0.1161

0.1162

0.1162

0.1162

0.1161

0.1160

0.1157

0.1155

0.1151

0.1147

0.1142

0.1137

0.1132

0.1125

0.1118

0.1111

0.1104

0.1097

0.1090

0.1083

0.1075

0.1068

0.1061

0.1055

0.1049

0.1043

0.1038

0.1033

0.1028

0.1024

0.1020

0.1017

0.1014

0.1012

0.1011

0.1010

0.1106

0.1099

0.1091

0.1082

0.1072

0.1063

0.1053

0.1043

0.1033

0.1023

0.1014

0.1005

0.0997

0.0990

0.0984

0.0979

0.0975

0.0972

0.0969

0.0968

0.0967

0.0967

0.0967

0.0969

0.0971

0.0973

0.0976

0.0979

0.0983

0.0987

0.0991

0.0995

0.0999

0.1003

0.1007

0.1010

0.1014

0.1016

0.1019

0.1021

0.1023

0.1024

0.1025

0.1026

0.1026

0.1025

0.1025

0.1024

0.1023

0.1021

0.1019

0.1018

0.1016

0.1014

0.1011

0.1009

0.1007

0.1005

0.1003

0.8993

0.8989

0.8985

0.8981

0.8978

0.8976

0.8975

0.8974

0.8974

0.8975

0.8976

0.8978

0.8981

0.8983

0.8986

0.8989

0.8992

0.8994

0.8997

0.8999

0.9001

0.9002

0.9003

0.9004

0.9004

0.9004

0.9004

0.9004

0.9003

0.9002

0.9001

0.9000

0.8999

0.8998

0.8996

0.8995

0.8994

0.8993

0.8993

0.8992

0.8992

0.8991

0.8991

0.8992

0.8992

0.8993

0.8993

0.8994

0.8995

0.8996

0.8997

0.8998

0.8999

0.9000

0.9001

0.9001

0.9002

0.9003

0.9003

87
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . ^^22/^11= 2..00 p*= 0.147 x^-O. 2500 €22:/^ir ^• 00

R* hi §12 §22 ^11 ^12 ^22

0.850 0,.0000 .0000 0,.0000 1.0000 1.0000 .0000

0.875 0,.0010 .0001 0,.0003 1.0000 1.0000 .0000

0.900 0,,0030 .0045 0,.0094 1.0000 1.0000 .0007

0.925 0,.0791 .0591 ,0959 1.0000 1.0000 .0089

0.950 0,.3637 .3012 0.,4427 1.0000 1.0000 .0515

0.975 .9831 .8521 1,,1403 1.0000 1.0000 .1588

1.000 2..0125 1,.6166 1.,9870 1.0000 1.0000 .3108

1.025 2,,8748 2,.3662 2..6392 1.0000 1.0000 .4531

1.050 3,,6350 2,.8449 2.,9513 1.0000 1.0000 .5593

1.075 3,,9532 3 .0460 2.,9300 1.0000 1.0000 .6317

1.100 4,,0087 2,.9938 2.,7071 1.0000 1.0000 .6797

1.125 3,,9578 2 .7952 2,,3950 1.0000 1.0000 .7119

1.150 3,,5514 2,.5346 2.,0635 1.0000 1.0000 .7335

1.175 3.,2103 2,,2652 1.,7712 1.0000 0.9999 0,.7484

1.200 2.,8860 2.,0010 1.,5219 1.0000 0.9993 .7585

1.225 2,,5697 .7666 1.,3076 1.0000 0.9949 .7653

1.250 2.,3752 ,5653 1,,1312 1.0000 0.9766 .7697

1.275 2.,0599 ,4054 0,,9876 1.0000 0.9282 .7721

1.300 ,8773 ,2549 0.,8834 1.0000 0.8412 .7732

1.325 ,7023 ,1420 0,,7991 1.0000 0.7282 .7732

1.350 ,5034 ,0403 0.,7356 0.9998 0.6142 .7723

1.375 ,4101 o\,9516 0.,6838 0.9982 0.5168 .7708

1.400 ,2947 0,,8870 0.,6451 0.9918 0.4407 0,.7688

1.425 ,2030 0,,8362 0.,6267 0.9735 0.3837 .7664

1.450 ,1566 0.,7937 0,,6109 0.9345 0.3419 0,.7636

1.475 ,0844 0,,7539 0,,6107 0.8709 0.3110 0,,7607

1.500 ,0209 0.,7273 0.,6167 0.7877 0.2881 0,.7575

1.525 o'.,9630 0.,7089 0.,6298 0.6962 0.2711 0,.7543

1.550 0.,9382 0,,6889 0,,6463 0.6087 0.2584 0,,7511

1.575 0,,8746 0.,6880 0,,6651 0.5325 0.2487 0,,7479

1.600 0,,9060 0,,6841 0,,6899 0.4698 0.2415 0.,7448

1.625 0..8635 0,,6865 0,,7165 0.4196 0.2361 0,,7418

1.650 0,,8253 0.,6902 0,,7462 0.3799 0.2322 0,,7390

1.675 0..8048 0,,6985 0,,7795 0.3486 0.2295 0.,7363

1.700 0,.7799 0,,7159 0,,8153 0.3238 0.2279 0,,7340

1.725 0..7636 0,,7258 0.,8506 0.3042 0.2270 0,,7318

1.750 0,.7852 0.,7389 0.,8998 0.2885 0.2267 0.,7300

1.775 0,.7440 0,,7545 0,,9436 0.2759 0.2270 0.,7286

1.800 0..7063 0,,7668 0,,9888 0.2656 0.2277 0,,7276

1.825 0,,7311 0.,7823 1,,0349 0.2572 0.2287 0.,7270

1.850 0,.7089 0,,7952 1,,0735 0.2505 0.2301 0,,7270

1.875 0..7094 0,,8090 1.,1137 0.2449 0.2318 0,,7274

1.900 0.,7188 0.,8327 1,,1449 0.2404 0.2336 0,,7283

1.925 0,,7349 0,,8448 1,,1746 0.2368 0.2357 0,,7296

1.950 0..7514 0,,8663 1,,2023 0.2341 0.2378 0.,7313

1.975 0..7452 0.,8895 1,,2273 0.2319 0.2401 0.,7334

2.000 0..7579 0,,9151 1.,2392 0.2303 0.2425 0,,7357

2.025 0.,7416 0.,9407 1,,2500 0.2290 0.2449 0,,7382

2.050 0.,7701 0.,9589 1,,2545 0.2282 0.2473 0,,7407

2.075 0.,7866 0,,9754 1,,2403 0.2278 0.2497 0.,7432

2.100 0.,8052 0,,9968 1.,2204 0.2278 0.2521 0,,7455

2.125 0.,8042 1,,0227 1,,1960 0.2280 0.2544 0,,7476

2.150 0.,8041 1,,0446 1,,1531 0.2284 0.2567 0.,7495

2.175 0.,8088 1,,0622 1.,1180 0.2289 0.2589 0,,7510

2.200 0.,8075 1,,0881 1,,0749 0.2295 0.2610 0.,7523

2.225 0..8176 1.,1062 1,,0349 0.2303 0.2630 0.,7532

2.250 0.,8277 1.,1245 0,,9986 0.2312 0.2649 0.,7538

2.275 0..8465 1.,1439 0,,9638 0.2323 0.2666 0.,7542

2.300 0,.8532 1,,1634 0.,9357 0.2335 0.2682 0. 7543

2.325 0..8345 1,,1829 0.,9093 0.2347 0.2696 0. 7541

2.350 0,.8639 1,,1928 0,,8889 0.2359 0.2708 0. 7538

2.375 0,.8833 1,,2017 0,,8749 0.2372 0.2717 0. 7533

2.400 0..8679 1,,2042 0,,8619 0.2386 0.2724 0. 7526

2.425 0,.9037 1,,2004 0,,8581 0.2399 0.2729 0. 7519

2.450 0,,8916 1,,2004 0,,8573 0.2413 0.2731 0. 7511

2.475 0,,8915 1.,1828 0.,8595 0.2426 0.2730 0. 7502

2.500 0,,9029 1,,1652 0,,8672 0.2439 0.2726 0. 7494

2.525 0,,9263 1,.1421 0,,8774 0.2453 0.2720 0. 7485

88
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

,800

,825

,850

,875

900

2.925

2.950

975

,000

025

050

075

100

125

3.150

3.175

3.200

3.225

3.250

3.275

0.9352

0.9352

0.9493

0.9588

0.9696

0.9853

0.9840

300

325

350

375

400

425

450

475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

4.000

,0005

.0119

.0194

.0361

.0543

.0678

1.0707

1.0979

1.1093

1.1130

1.1431

1.1624

1.1579

1.1757

1.1799

1.1729

1.1896

1.1816

1.1876

1.1641

,1655

1464

1437

1301

1083

1.1024

1.0964

1.0781

1.0681

1.0305

1.0199

1.0024

1.0127

0.9926

0.9685

0.9636

0.9563

0.9401

0.9365

0.9299

0.9148

0.9183

0.9066

0.9151

0.9156

0.9102

0.9076

0.9070

0.9107

0.9186

0.9272

1.0000

1.1210

1.0916

1.0646

1.0389

1.0165

0.9932

0.9732

0.9544

0.9348

0.9247

0.9127

0.9024

0.9017

0.8941

0.8929

0.8957

0.8935

0.8949

0.8980

0.9048

. 9141

0.9194

0.9331

0.9403

0.9498

0.9587

0.9716

0.9781

0.9889

0.9990

1.0102

1.0157

1.0229

1.0325

1.0339

1.0394

1.0483

1.0524

1.0575

1.0536

1.0595

1.0577

1.0548

1.0560

1.0561

1.0533

1.0476

1.0425

1.0418

1.0333

1.0278

1.0202

1.0166

1.0118

1.0000

0.9970

0.9928

0.9803

1.0000

0.8927

0.9061

0.9256

0.9423

0.9610

0.9775

0.9977

1.0139

0296

0450

0578

0654

0746

0789

0825

0801

1.0777

1.0765

1.0688

1.0628

1.0531

1.0432

1.0351

1.0240

1.0107

1.0019

0.9904

0.9828

0.9740

0.9653

0.9604

0.9533

0.9528

0.9507

0.9496

0.9516

0.9566

0.9617

0.9653

0.9731

0.9774

0.9856

0.9926

0.9978

1.0057

1.0134

1.0186

1.0232

1.0286

1.0315

1.0329

1.0334

1.0343

1.0319

1.0295

1.0296

1.0240

1.0200

1.0000

0.2466

0.2478

0.2491

0.2503

0.2515

0.2526

0.2538

0.2548

0.2559

0.2570

0.2580

0.2590

0.2600

0.2610

0.2619

0.2629

0.2637

0.2646

0.2654

0.2662

0.2668

0.2675

0.2680

0.2685

0.2690

0.2693

0.2695

0.2696

0.2695

0.2694

0.2692

0.2688

0.2683

0.2678

0.2671

0.2664

0.2656

0.2646

0.2636

0.2625

0.2614

0.2603

0.2592

0.2580

0.2569

0.2557

0.2546

0.2536

0.2526

0.2516

0.2508

0.2500

0.2493

0.2487

0.2481

0.2476

0.2472

0.2469

0.2468

0.2711

0.2700

0.2687

0.2671

0.2655

0.2637

0.2618

0.2600

0.2581

0.2562

0.2545

0.2529

0.2514

0.2501

0.2490

0.2480

0.2472

0.2466

0.2462

0.2459

0.2457

0.2457

0.2459

0.2461

0.2465

0.2469

0.2474

0.2479

0.2485

0.2491

0.2498

0.2504

0.2511

0.2517

0.2523

0.2528

0.2533

0.2537

0.2542

0.2545

0.2548

0.2550

0.2552

0.2553

0.2553

0.2553

0.2552

0.2551

0.2549

0.2547

0.2545

0.2542

0.2539

0.2535

0.2532

0.2528

0.2525

0.2521

0.2518

0.7477

0.7470

0.7464

0.7458

0.7454

0.7451

0.7448

0.7447

0.7447

0.7448

0.7450

0.7452

0.7455

0.7459

0.7463

0.7468

0.7473

0.7478

0.7482

0.7486

0.7489

0.7491

0.7493

0.7494

0.7495

0.7496

0.7496

0.7495

0.7494

0.7493

0.7492

0.7490

0.7488

0.7487

0.7485

0.7483

0.7482

0.7480

0.7479

0.7479

0.7478

0.7478

0.7478

0.7478

0.7479

0.7479

0.7480

0.7482

0.7483

0.7484

0.7486

0.7487

0.7489

0.7490

0.7492

0.7493

0.7494

0.7495

0.7495

89
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . ^^22/^11= 2..00 p*= 0.200 x^-O. 5000 6^2:/Hr 1- 00

R* hi ^12 §22 ^11 ^12 h2

0.850 0..0000 .0000 0.0000 1.0000 1.0000 0.0000

0.875 0,.0002 .0001 0.0002 1.0000 1.0000 0.0000

0.900 0,.0059 .0047 0.0097 1.0000 1.0000 0.0003

0.925 0,.0597 .0570 0.0932 1.0000 1.0000 0.0031

0.950 .3035 .2951 0.4296 1.0000 1.0000 0.0180

0.975 0,.9290 .8349 1.1118 1.0000 1.0000 0.0600

1.000 1,.7817 1 .5845 1.9211 1.0000 1.0000 0.1319

1.025 2,.6728 2 .2812 2.5402 1.0000 1.0000 0.2174

1.050 3,.2854 2 .7296 2.8166 1.0000 1.0000 0.2973

1.075 3,.5779 2 .8997 2 . 8011 1.0000 1.0000 0.3625

1.100 3,.6175 2 .8455 2.5877 1.0000 1.0000 0.4121

1.125 3,.4871 2 .6743 2.2788 1.0000 1.0000 0.4483

1.150 3,.1917 2 .4307 1.9769 1.0000 1.0000 0.4742

1.175 2,.9043 2..1554 1.6880 1.0000 1.0000 0.4924

1.200 2,.6294 1,.9138 1,4463 1.0000 0.9997 0.5047

1.225 2,.3508 1,.7017 1.2366 1.0000 0.9982 0.5127

1.250 2,.0796 1,.5116 1.0811 1.0000 0.9919 0.5171

1.275 1,.8907 1,.3583 0.9616 1.0000 0.9745 0.5191

1.300 1,.6786 1,.2224 0.8635 1.0000 0.9400 0.5193

1.325 1,,5452 1,.1150 0.7891 1.0000 0.8882 0.5180

1.350 1,.4232 1,.0221 0.7368 0.9999 0.8257 0.5158

1.375 1,.3045 0,.9505 0.6981 0.9994 0.7616 0.5130

1.400 1,,2113 0,.8916 0.6794 0.9971 0.7027 0.5099

1.425 1,,1388 0,.8491 0.6673 0.9903 0.6523 0.5066

1.450 1,,0517 0,.8092 0.6740 0.9755 0.6109 0.5035

1.475 0,.9949 0,.7790 0.6836 0.9494 0.5777 0.5005

1.500 0,,9561 0,.7594 0.7133 0.9116 0.5517 0.4977

1.525 0,,9036 0,,7488 0.7438 0.8648 0.5315 0.4954

1.550 0,,8585 0,,7404 0.7672 0.8136 0.5159 0.4933

1.575 0.,8283 0.,7439 0.7965 0.7624 0.5041 0.4914

1.600 0,,8069 0.,7551 0.8182 0.7147 0.4953 0.4897

1.625 0,,7874 0,,7653 0.8365 0.6721 0.4890 0.4881

1.650 0,,7686 0,,7860 0.8493 0.6353 0.4847 0.4865

1.675 0,,7623 0,,8070 0.8595 0.6039 0.4822 0.4849

1.700 0,,7430 0,,8229 0.8791 0.5775 0.4809 0.4833

1.725 0,,7284 0,,8375 0.8890 0.5553 0.4806 0.4817

1.750 0,,7357 0,,8584 0.9108 0.5370 0.4812 0.4801

1.775 0,,7179 0,,8623 0.9328 0.5219 0.4825 0.4786

1.800 0,,7248 0,,8716 0.9608 0.5095 0.4842 0.4774

1.825 0.,7318 0,,8780 0.9869 0.4992 0.4863 0.4765

1.850 0..7352 0,,8762 1.0210 0.4908 0.4886 0.4761

1.875 0..7604 0,,8835 1.0493 0.4842 0.4909 0.4762

1.900 0,.7609 0,,8940 1.0690 0.4788 0.4934 0.4767

1.925 0,.7679 0,,8876 1.1037 0.4746 0.4958 0.4776

1.950 0..7811 0,,8981 1.1274 0.4714 0.4981 0.4791

1.975 0..7861 0,,9034 1.1517 0.4690 0.5003 0.4809

2.000 0..8094 0,,9147 1.1757 0.4674 0.5023 0.4831

2.025 0..8145 0,,9231 1.1860 0.4664 0.5041 0.4855

2.050 0..8234 0,,9376 1.1896 0.4660 0.5057 0.4880

2.075 0..8339 0,,9483 1.1879 0.4660 0.5072 0.4905

2.100 0..8264 0,,9641 1.1728 0.4663 0.5086 0.4929

2.125 0..8453 0,,9804 1.1474 0.4669 0.5099 0.4951

2.150 0. 8515 1,,0012 1.1202 0.4678 0.5111 0.4970

2.175 0..8649 1,,0135 1.0879 0.4689 0.5123 0.4985

2.200 0..8573 1,,0287 1.0541 0.4702 0.5135 0.4997

2.225 0. 8560 1,,0466 1.0237 0.4716 0.5147 0.5005

2.250 0..8618 1,,0658 0.9967 0.4731 0.5159 0.5010

2.275 0..8562 1,,0831 0.9722 0.4746 0.5171 0.5012

2.300 0..8503 1.,1064 0.9514 0.4760 0.5183 0.5013

2.325 0..8538 1,,1224 0.9302 0.4774 0.5195 0.5010

2.350 0..8576 1,,1340 0.9221 0.4789 0.5207 0.5007

2.375 0..8619 1,,1454 0.9135 0.4803 0.5217 0.5002

2.400 0..8580 1,,1498 0.9074 0.4816 0.5226 0.4996

2.425 0..8619 1,,1539 0.9058 0.4829 0.5233 0.4990

2.450 0..8676 1,,1439 0.9150 0.4840 0.5237 0.4984

2.475 0..8805 1,,1393 0.9156 0.4852 0.5239 0.4978

2.500 0..8757 1,,1268 0.9265 0.4862 0.5238 0.4973

2.525 0.,8798 1,,1063 0.9347 0.4871 0.5235 0.4968

90
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

2.800

2.825

2.850

2.875

900

925

950

975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

3.850

3.875

900

925

950

975

4.000

0.8949

0.9015

0.9168

0.9193

0.9329

0.9344

0.9528

0.9621

0.9717

0.9790

0.9934

1.0099

1.0224

1.0362

1.0298

1.0506

1.0615

1.0785

1.0861

1.0905

1.0954

1.1015

1.1155

1190

1170

1021

1138

1114

1015

1.0902

1.0862

1.0704

1.0607

1.0549

1.0390

1.0333

1.0156

1.0071

1.0079

0.9940

0.9914

0.9752

0.9738

0.9730

0.9568

0.9572

0.9530

0.9485

0.9467

0.9450

0.9386

0.9379

0.9430

0.9512

0.9517

0.9435

0.9505

0.9467

1.0000

,0928

0719

,0510

0347

0151

0018

0.9840

0.9691

0.9575

0.9508

0.9460

0.9398

0.9385

0.9384

0.9350

0.9388

0.9422

0.9449

0.9480

0.9508

0.9552

0.9624

0.9665

0.9701

0.9776

0.9797

0.9845

0.9872

0.9910

0.9951

0.9988

1.0029

1.0070

1.0089

1.0121

1.0167

1.0177

1.0242

1.0252

,0265

,0283

,0276

,0261

,0260

1.0268

1.0248

1.0246

1.0237

1.0249

1.0213

1.0182

1.0138

1.0127

1.0068

1.0068

1.0029

0.9991

0.9932

1.0000

0.9447

0.9566

0.9653

0.9760

0.9811

0.9928

1.0017

1.0120

1.0141

0228

0259

0326

0340

0395

0416

0413

0427

0410

1.0404

0362

0336

0277

0220

0168

1.0098

1.0021

0.9978

0.9909

0.9875

0.9840

0.9798

0.9785

0.9753

0.9758

0.9765

0.9780

0.9815

0.9854

0.9887

0.9900

0.9928

0.9954

1.0001

1.0038

1.0049

1.0099

1.0106

,0091

,0118

,0147

,0144

,0154

0133

,0131

,0143

,0117

1.0114

1.0101

1.0000

0.4879

0.4887

0.4896

0.4903

0.4910

0.4918

0.4925

0.4933

0.4941

0.4950

0.4958

0.4968

0.4977

0.4987

0.4997

0.5007

0.5017

0.5027

0.5037

0.5047

0.5057

0.5066

0.5075

0.5083

0.5091

0.5097

0.5102

0.5106

0.5110

0.5112

0.5113

0.5113

0.5111

0.5108

0.5104

0.5099

0.5093

0.5085

0.5077

0.5069

0.5059

0.5050

0.5040

0.5030

0.5019

0.5009

0.5000

0.4990

0.4981

0.4973

0.4966

0.4959

0.4953

0.4947

0.4943

0.4940

0.4937

0.4935

0.4934

0.5229

0.5221

0.5209

0.5196

0.5181

0.5163

0.5145

0.5126

0.5107

0.5088

0.5071

0.5054

0.5039

0.5026

0.5015

0.5006

0.4999

0.4994

0.4990

0.4988

0.4987

0.4988

0.4990

0.4992

0.4996

0.5000

0.5004

0.5008

0.5013

0.5017

0.5022

0.5026

0.5030

0.5033

0.5036

0.5039

0.5041

0.5044

0.5045

0.5047

0.5048

0.5049

0.5050

0.5050

0.5049

0.5049

0.5048

0.5047

0.5046

0.5045

0.5043

0.5041

0.5039

0.5037

0.5035

0.5032

0.5030

0.5027

0.5024

0.4964

0.4960

0.4957

0.4955

0.4952

0.4951

0.4950

0.4950

0.4951

0.4952

0.4953

0.4955

0.4957

0.4959

0.4962

0.4965

0.4969

0.4972

0.4976

0.4979

0.4981

0.4984

0.4986

0.4987

0.4988

0.4989

0.4989

0.4989

0.4989

0.4988

0.4987

0.4986

0.4985

0.4984

0.4983

0.4982

0.4982

0.4981

0.4981

0.4981

0.4981

0.4981

0.4981

0.4982

0.4982

0.4983

0.4984

0.4985

0.4985

0.4986

0.4987

0.4988

0.4989

0.4990

0.4991

0.4992

0.4992

0.4993

0.4994

-91-
^22/^^11= 2..00 p*= 0.319 X - 0. 7500 ^22:/hr ^• 00

R* 6ll ^12 §22 ^11 ^12 ^22

0.850 0,.0000 .0000 .0000 1.0000 .0000 0..0000

0.875 0,.0001 .0002 0,.0003 1.0000 .0000 0,.0000

0.900 0,.0044 .0054 0..0096 1.0000 .0000 0,.0001

0.925 0,.0573 .0581 0,.0938 1.0000 .0000 0,.0011

0.950 0..3018 .2882 0,.4316 1.0000 .0000 0,.0066

0,975 0..8628 .8018 1,.0913 1.0000 .0000 0..0224

1.000 1..7021 1,.5035 1..8262 1.0000 .0000 0..0508

1.025 2..4913 2,.1622 2,.3854 1.0000 .0000 0,.0878

1.050 3,.0556 2,.5680 2,.5942 1.0000 .0000 0,.1263

1.075 3..3153 2,.6964 2,.5575 1.0000 .0000 0..1612

1.100 3,.3183 2,.6407 2,.3231 1.0000 .0000 0,.1898

1.125 3,.1575 2,.4616 2..0482 1.0000 .0000 0,.2118

1.150 2,.9013 2,.2192 1..7440 1.0000 .0000 0..2279

1.175 2,.6267 1..9660 1..4988 1.0000 .0000 0..2389

1.200 2,.3559 1,.7369 1..2999 1.0000 0..9999 0,.2460

1.225 2,.1046 1,.5440 1,.1293 1.0000 0..9994 0..2499

1.250 1,.9062 1,.3802 0..9923 1.0000 .9971 0,.2513

1.275 1,.7232 1,.2363 0,.8879 1.0000 0,.9906 0,.2507

1.300 1,.5369 1..1131 0..8101 1.0000 0,.9776 0,.2489

1.325 1.,4053 1,.0284 0..7586 1.0000 0,.9573 0..2463

1.350 1,.2819 0,.9569 0..7228 1.0000 0,.9314 0..2435

1.375 1,,2021 0,.8886 0..7085 0.9997 0,.9024 0,.2407

1.400 1.,1053 0,.8495 0,,7030 0.9989 0,.8737 0,.2382

1.425 1,,0346 0,.8108 0,,7323 0.9965 0,.8470 0..2362

1.450 0,,9767 0..7970 0.,7713 0.9911 0,.8237 0,.2349

1.475 0,,9285 0..7859 0,,8157 0.9816 0,.8041 0..2342

1.500 0.,8803 0..7773 0,.8722 0.9672 0..7882 0..2341

1.525 0,,8516 0..7867 0,.9167 0.9485 0,.7756 0..2346

1.550 0.,8254 0..8070 0..9603 0.9265 0,.7661 0..2355

1.575 0.,7993 0,.8289 0..9906 0.9030 0..7590 0..2367

1.600 0.,7836 0..8615 1,.0042 0.8795 0,.7540 0,.2379

1.625 0,,7743 0,.9006 1,,0001 0.8573 0,.7508 0,.2389

1.650 0,.7647 0..9360 0,.9859 0.8368 0,.7491 0,.2397

1.675 0,.7589 0..9758 0,,9832 0.8184 0,.7487 0,,2402

1.700 0,.7614 0,.9998 0,,9601 0.8024 0..7493 0,,2403

1.725 0,,7690 .0181 0,,9534 0.7886 0..7506 0,,2401

1.750 0,.7720 .0292 0.,9409 0.7770 0,.7523 0,,2397

1.775 0,.7743 .0380 0,,9367 0.7673 0.,7544 0,,2391

1.800 0,.7979 .0238 0,,9402 0.7593 0.,7565 0,,2385

1.825 0,,8109 .0144 0.,9484 0.7529 0.,7586 0,,2378

1.850 0,.8312 0..9968 0,,9621 0.7478 0,,7606 0,,2374

1.875 0,.8510 0..9764 0,,9871 0.7438 0.,7623 0,,2372

1.900 0..8733 0..9676 1.,0010 0.7408 0.,7638 0.,2372

1.925 0,.8938 0,.9523 1.,0331 0.7387 0,,7649 0.,2375

1.950 0,.9137 0..9358 1.,0565 0.7374 0,,7656 0,,2381

1.975 0..9377 0,.9259 1,,0771 0.7368 0,,7659 0.,2390

2.000 0,.9547 0,.9226 1,,1010 0.7367 0,,7659 0,,2401

2.025 0,.9780 0..9170 1,,1098 0.7371 0,,7655 0,,2413

2.050 0..9907 0..9181 1,,1095 0.7379 0,,7650 0,,2425

2.075 0..9985 0..9213 1,,1092 0.7389 0,,7642 0,,2437

2.100 1..0034 0,.9301 1,,1097 0.7402 0,,7633 0,,2449

2.125 1..0056 0..9360 1,,0900 0.7416 0,,7624 0,,2459

2.150 1,.0064 0,.9461 1,,0739 0.7430 0,,7616 0.,2468

2.175 1..0031 0,.9572 1.,0512 0.7445 0,,7608 0.,2475

2.200 0,.9902 0..9729 1.,0262 0.7459 0,,7603 0.,2480

2.225 0,.9821 0,.9875 1,,0105 0.7473 0,,7599 0. 2483

2.250 0,.9752 1,.0079 0.,9852 0.7485 0,.7597 0. 2484

2.275 0..9593 1,.0281 0.,9708 0.7497 0,,7597 0. 2483

2.300 0,.9526 1..0407 0,,9622 0.7507 0,,7599 0. 2482

2.325 0,.9390 1,.0544 0,,9495 0.7516 0,,7602 0. 2479

2.350 0..9304 1..0714 0.,9471 0.7522 0.,7606 0. 2477

2.375 0,.9221 1,.0804 0,,9514 0.7527 0.,7611 0. 2474

2.400 0,.9147 1..0849 0.,9529 0.7530 0.,7615 0. 2471

2.425 0,.9074 1,.0893 0.,9550 0.7532 0.,7620 0. 2469

2.450 .8973 1,.0848 0,,9663 0.7531 0. 7624 0. 2468

2.475 0,.8963 1..0768 0.,9780 0.7528 0. 7627 0. 2467

2.500 0,.8985 1,.0647 0,,9820 0.7525 0. 7628 0. 2467

2.525 0,.8945 1,.0576 0.,9854 0.7520 0. 7628 0. 2467

-92-
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

,800

825

850

875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

,100

,125

.150

.175

.200

.225

.250

.275

.300

.325

.350

.375

.400

.425

3.450

3.475

3.500

3.525

3.550

3.575

,600

,625

650

675

.700

3.725

3.750

,775

800

,825

850

,875

,900

,925

,950

,975

0.8938

0.8977

0.9005

0.9042

0.9138

0.9204

0.9216

0.9343

0.9432

0.9506

0.9602

0.9770

0.9840

0.9936

1.0084

1.0137

1.0234

1.0388

1.0454

1.0604

1.0627

1.0678

1.0737

1.0816

1.0776

1.0794

4.000

.0731

,0698

,0629

.0591

.0495

.0432

,0303

,0293

,0188

,0090

1.0097

1.0004

0.9967

0.9937

0.9886

0.9827

0.9777

0.9748

0.9810

0.9770

0.9732

0.9766

0.9762

0.9792

0.9822

0.9838

0.9860

0.9879

0.9891

0.9908

0.9953

0.9976

1.0000

1.0426

1.0326

1.0191

1.0058

0.9975

0.9859

0.9843

0.9758

0.9713

0.9682

0.9660

0.9694

0.9689

0.9727

0.9718

0.9761

0.9833

0.9879

0.9907

0.9938

1.0010

1.0054

1.0061

1.0071

1.0097

1.0090

1.0057

1.0058

1.0027

1.0036

1.0049

0.9984

1.0006

0.9984

0.9982

0.9989

1.0020

1.0039

1.0023

1.0049

1.0054

1.0076

1.0070

1.0123

1.0128

1.0096

1.0125

1.0115

1.0125

1.0122

1.0112

1.0113

1.0079

1.0070

1.0048

1.0055

1.0014

0.9986

1.0000

0.9948

0.9988

1.0023

1.0106

1.0054

1.0086

1.0080

1.0071

1.0068

1.0056

1.0071

1.0032

1.0091

1.0067

1.0061

1.0101

1.0180

1.0149

1.0138

1.0108

1.0150

0127

0087

,0171

0093

0039

,0060

0.9994

1.0005

0.9958

0.9941

0.9983

0.9946

0.9972

0.9971

0.9971

0.9988

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0000

0000

0000

0000

0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.7514

0.7507

0.7501

0.7494

0.7487

0.7482

0.7476

0.7472

0.7469

0.7467

0.7466

0.7466

0.7468

0.7470

0.7473

0.7477

0.7482

0.7488

0.7493

0.7500

0.7507

0.7513

0.7520

0.7526

0.7533

0.7538

0.7543

0.7548

0.7552

0.7555

0.7558

0.7559

0.7560

0.7560

0.7559

0.7557

0.7554

0.7552

0.7548

0.7544

0.7540

0.7536

0.7531

0.7526

0.7521

0.7517

0.7512

0.7508

0.7505

0.7501

0.7499

0.7496

0.7494

0.7493

0.7492

0.7491

0.7491

0.7491

0.7491

0.7627

0.7623

0.7619

0.7612

0.7605

0.7596

0.7587

0.7578

0.7569

0.7560

0.7551

0.7543

0.7536

0.7530

0.7525

0.7521

0.7518

0.7517

0.7516

0.7516

0.7517

0.7519

0.7521

0.7523

0.7525

0.7527

0.7529

0.7530

0.7532

0.7533

0.7533

0.7533

0.7533

0.7533

0.7533

0.7532

0.7531

0.7531

0.7530

0.7529

0.7528

0.7528

0.7527

0.7527

0.7526

0.7526

0.7526

0.7525

0.7525

0.7525

0.7525

0.7524

0.7524

0.7523

0.7523

0.7522

0.7521

0.7520

0.7519

0.2467

0.2468

0.2469

0.2470

0.2471

0.2472

0.2473

0.2473

0.2474

0.2474

0.2475

0.2475

0.2475

0.2476

0.2477

0.2477

0.2478

0.2479

0.2481

0.2482

0.2483

0.2484

0.2485

0.2486

0.2487

0.2487

0.2488

0.2488

0.2488

0.2489

0.2489

0.2489

0.2489

0.2489

0.2489

0.2489

0.2489

0.2489

0.2490

0.2490

0.2490

0.2490

0.2491

0.2491

0.2491

0.2491

0.2491

0.2491

0.2492

0.2492

0.2492

0.2492

0.2492

0.2492

0.2493

0.2493

0.2493

0.2493

0.2493

93
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . ^^22/^11== 2 .00 p*= 0.494 x^. 0. 9005 €22i/^r 1- 00

R* Sll ^12 §22 ^11 ^12 ^22

0.850 .0000 0.0000 0.0000 1.0000 1.0000 0.0000

0.875 .0000 0.0001 0.0005 1.0000 1.0000 0.0000

0.900 .0042 0.0049 0.0080 1.0000 1.0000 0.0000

0.925 .0533 0.0574 0.0935 1.0000 1.0000 0.0004

0.950 .2818 0.2835 0.4021 1.0000 1.0000 0.0023

0.975 .8077 0.7822 0.9928 1.0000 1.0000 0.0077

1.000 1 .5363 1.4309 1.6334 1.0000 1.0000 0.0175

1.025 2 .2511 2.0118 2.0754 1.0000 1.0000 0.0306

1.050 2 .7462 2.3616 2.1994 1.0000 1.0000 . 0445

1.075 2 .9531 2.4597 2.1330 1.0000 1.0000 0.0574

1.100 2 .9460 2.3933 1.9363 1.0000 1.0000 0.0683

1.125 2 .7860 2.2109 1.6865 1.0000 1.0000 0.0767

1.150 2 .5552 1.9893 1.4475 1.0000 1.0000 0.0827

1.175 2 .3082 1.7537 1.2719 1.0000 1.0000 0.0867

1.200 2 .0596 1.5549 1.0755 1.0000 1.0000 0.0889

1.225 1,.8455 1.3757 0.9473 1.0000 0.9998 0.0896

1.250 1,.6530 1.2236 0.8396 1.0000 0.9990 0.0892

1.275 I..4833 1.1022 0.7592 1.0000 0.9967 0.0880

1.300 1..3443 1.0061 0.7208 1.0000 0.9923 0.0865

1.325 1,,2297 0.9272 0.6783 1.0000 0.9853 0.0849

1.350 1..1297 0.8710 0.6897 1.0000 0.9762 0.0834

1.375 1.,0483 0.8218 0.6844 0.9999 0.9659 0.0821

1.400 0,,9719 0.7935 0.7002 0.9996 0.9555 0.0811

1.425 0.,9163 0.7829 0.7744 0.9987 0.9456 0.0806

1.450 0.,8709 0.7766 0.8369 0.9967 0.9369 0.0806

1.475 0,,8351 0.7815 0.9269 0.9932 0.9294 0.0811

1.500 0,,8013 0.8013 1.0029 0.9878 0.9233 0.0821

1.525 0.,7799 0.8323 1.0698 0.9809 0.9186 0.0833

1.550 0,,7623 0.8704 1.1072 0.9726 0.9151 0.0848

1.575 0,,7551 0.9205 1.1392 0.9636 0.9126 0.0864

1.600 0,,7447 0.9751 1.1268 0.9544 0.9111 0.0878

1.625 0,,7399 1.0219 1.0962 0.9455 0.9105 0.0891

1.650 0,,7438 1.0765 1.0764 0.9371 0.9105 0.0901

1.675 0,,7512 1.1284 1.0188 0.9295 0.9110 0.0908

1.700 0,,7595 1.1640 1.0009 0.9228 0.9120 0.0912

1.725 0,,7752 1.1767 0.9579 0.9170 0.9131 0.0914

1.750 0,.7944 1.1805 0.9519 0.9122 0.9143 0.0915

1.775 0,.8184 1.1780 0.9394 0.9082 0.9155 0.0914

1.800 0,.8457 1.1531 0.9420 0.9050 0.9166 0.0914

1.825 0,.8726 1.1322 0.9594 0.9025 0.9176 0.0913

1.850 0..8992 1.1007 0.9365 0.9006 0.9184 0.0913

1.875 0..9309 1.0673 0.9708 0.8994 0.9190 0.0914

1.900 0..9608 1.0335 0.9747 0.8986 0.9194 0.0915

1.925 0.,9932 1.0058 1.0092 0.8982 0.9194 0.0918

1.950 1.,0242 0.9759 1.0481 0.8982 0.9192 0.0922

1.975 1.,0516 0.9565 1.0870 0.8985 0.9187 0.0927

2.000 1.,0712 0.9414 1.1154 0.8990 0.9179 0.0934

2.025 1.,0981 0.9283 1.1090 0.8997 0.9170 0.0941

2.050 1.,1150 0.9200 1.1159 0.9006 0.9159 0.0948

2.075 1.,1241 0.9158' 1.1170 0.9015 0.9148 0.0954

2.100 1. 1285 0.9211 1.1174 0.9025 0.9136 0.0961

2.125 1. 1278 0.9256 1.0907 0.9035 0.9125 0.0966

2.150 1.,1231 0.9379 1.0771 0.9044 0.9115 0.0971

2.175 1. 1043 0.9499 1.0373 0.9053 0.9106 0.0974

2.200 1. 0889 0.9624 1.0282 0.9060 0.9099 0.0976

2.225 1. 0739 0.9826 1.0116 0.9067 0.9093 0.0977

2.250 1. 0521 0.9975 0.9965 0.9073 0.9090 0.0978

2.275 1. 0302 1.0129 0.9968 0.9077 0.9087 0.0978

2.300 1. 0061 1.0301 0.9770 0.9080 0.9086 0.0978

2.325 0. 9877 1.0386 0.9665 0.9082 0.9085 0.0977

2.350 0. 9675 1.0524 0.9845 0.9082 0.9085 0.0977

2.375 0. 9499 1.0517 0.9800 0.9081 0.9086 0.0977

2.400 0. 9372 1.0555 0.9768 0.9078 0.9086 0.0976

2.425 0. 9220 1.0555 0.9920 0.9075 0.9087 0.0977

2.450 0. 9154 1.0497 0.9971 0.9070 0.9087 0.0977

2.475 0. 9064 1.0382 1.0013 0.9064 0.9087 0.0978

2.500 0. 8975 1.0294 1.0040 0.9057 0.9086 0.0979

2.525 0. 8926 1.0186 1.0120 0.9050 0.9085 0.0980

94
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.115

.750

.775

.800

.825

.850

.875

.900

,925

.950

.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

.250

.275

.300

.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.8931

0.8912

0.8971

0.9010

0.9041

0.9098

0.9184

0.9260

0.9335

0.9451

0.9560

0.9652

0.9774

0.9912

0.9994

,0102

,0198

,0286

,0361

,0416

,0463

,0474

,0500

1.0489

1.0472

1.0440

1.0413

1.0333

,0281

0231

,0154

,0101

0041

0.9975

0.9919

0.9901

0.9856

0.9799

0.9767

0.9760

0.9729

0.9742

0.9729

0.9779

0.9760

0.9764

0.9812

0.9839

0.9873

0.9905

0.9943

0.9988

1.0030

1.0059

1.0081

1.0121

1.0150

1.0146

1.0000

1.0099

0.9990

0.9917

0.9835

0.9770

0.9692

0.9621

0.9621

0.9606

0.9637

0.9683

0.9714

0.9747

0.9812

0.9842

0.9940

1.0027

1.0168

1.0220

1.0242

0023

0044

0094

0120

0122

0108

0063

0074

0058

0041

0001

0.9969

0.9965

0.9890

0.9929

0.9881

0.9894

0.9917

0.9904

0.9889

0.9913

0.9964

0.9982

1.0002

1.0039

1.0041

1.0070

1.0088

1.0093

1.0106

1.0068

1.0084

1.0042

1.0040

1.0035

1 . 0044

1.0000

0.9997

1.0007

0.9959

0.9976

1.0000

0160

0154

0194

0082

0125

0002

0012

0.9952

0.9911

1.0035

1.0050

1.0112

1.0111

1.0070

0141

0125

0000

0000

0000

0000

0000

0000

0000

0000

0000

0000

0000

1.0000

0000

0000

0000

0000

0000

0000

0000

0000

0000

1.0000

0000

0000

0000

0000

0000

0000

0000

0000

0000

0000

0000

0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9042

0.9033

0.9025

0.9018

0.9010

0.9003

0.8997

0.8992

0.8987

0.8983

0.8981

0.8979

0.8978

0.8977

0.8978

0.8979

0.8981

0.8983

0.8985

0.8988

0.8991

0.8994

0.8997

0.9000

0.9003

0.9006

0.9008

0.9010

0.9012

0.9013

0.9014

0.9015

0.9015

0.9015

0.9015

0.9014

0.9013

0.9012

0.9011

0.9009

0.9008

0.9006

0.9005

0.9003

0.9002

0.9000

0.8999

0.8998

0.8998

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8998

0.8999

0.8999

0.9000

0.9084

0.9082

0.9078

0.9074

0.9070

0.9064

0.9059

0.9054

0.9049

. 9044

0.9039

0.9035

0.9031

0.9028

0.9026

0.9025

0.9024

0.9023

0.9022

0.9022

0.9022

0.9022

0.9023

0.9023

0.9023

0.9023

0.9024

0.9023

0.9023

0.9023

0.9022

0.9022

0.9021

0.9020

0.9019

0.9018

0.9017

0.9017

0.9016

0.9015

0.9015

0.9014

0.9014

0.9014

0.9013

0.9013

0.9013

0.9013

0.9013

0.9013

0.9013

0.9013

0.9013

0.9013

0.9012

0.9012

0.9012

0.9011

0.9011

0.0981

0.0982

0.0983

0.0984

0.0985

0.0986

0.0986

0.0987

0.0987

0.0987

0.0987

0.0987

0.0987

0.0987

0.0987

0.0988

0.0988

0.0989

0.0989

0.0989

0.0990

0.0990

0.0990

0.0990

0.0990

0.0990

0.0990

0.0990

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0993

0.0993

0.0993

0.0993

0.0993

0.0993

95-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . ^^22/^11== 2.00 p*= 0.598 x^= 0. 9502 e_/hr 1- 00

R* Sll ^12 §22 hi ^12 ^22

0.850 0.0000 0.0000 0.0000 1.0000 1.0000 0.0000

0.875 0.0001 0.0000 0.0000 1.0000 1.0000 0.0000

0.900 0.0041 0.0053 0.0065 1.0000 1.0000 0.0000

0.925 0.0527 0.0553 0.0881 1.0000 1.0000 0.0002

0.950 0.2608 0.2718 0.3512 1.0000 1.0000 0.0011

0.975 0.7564 0.7430 0.8168 1.0000 1.0000 0.0033

1.000 1.4547 1.3602 1.3645 1.0000 1.0000 0.0075

1.025 2.1236 1.9198 1.7260 1.0000 1.0000 0.0131

1.050 2.5741 2.2410 1.8474 1.0000 1.0000 0.0192

1.075 2.7600 2.3210 1.7696 1.0000 1.0000 0.0250

1.100 2.7473 2.2352 1.5620 1.0000 1.0000 0.0297

1.125 2.6008 2.0589 1.3895 1.0000 1.0000 0.0333

1.150 2.3779 1.8593 1.1935 1.0000 1.0000 0.0359

1.175 2.1543 1.6351 1.0208 1.0000 1.0000 0.0375

1.200 1.9311 1.4528 0.8972 1.0000 1.0000 0.0383

1.225 1.7241 1.2b73 0.7789 1.0000 0.9999 0.0384

1.250 1.5428 1.1487 0.7096 1.0000 0.9995 0.0381

1.275 1.3934 1.0428 0.6792 1.0000 0.9985 0.0375

1.300 1.2635 0.9535 0.6561 1.0000 0.9967 0.0368

1.325 1.1507 0.8790 0.5994 1.0000 0.9937 0.0361

1.350 1.0569 0.8264 0.6110 1.0000 0.9898 0.0354

1.375 0.9839 0.7909 0.6454 1.0000 0.9854 0.0349

1.400 0.9200 0.7661 0.6796 0.9998 0.9808 0.0347

1.425 0.8670 0.7532 0.7645 0.9994 0.9764 0.0347

1.450 0.8294 0.7549 0.8936 0.9984 0.9725 0.0350

1.475 0.8003 0.7798 0.9438 0.9967 0.9693 0.0356

1.500 0.7693 0.8013 1.0372 0.9941 0.9667 0.0364

1.525 0.7475 0.8328 1 . 1448 0.9907 0.9646 0.0374

1.550 0.7357 0.8862 1.2083 0.9866 0.9632 0.0386

1.575 0.7299 0.9546 1.2279 0.9822 0.9622 0.0398

1.600 0.7249 0.9997 1.2041 0.9776 0.9617 0.0410

1.625 0.7255 1.0619- 1.2144 0.9732 0.9615 0.0420

1.650 0.7298 1.1147 1.1846 0.9690 0.9617 0.0429

1.675 0.7447 1.1688 1.1191 0.9653 0.9620 0.0436

1.700 0.7568 1.2013 1.1013 0.9620 0.9625 0.0441

1.725 0.7784 1.2211 1.0357 0.9591 0.9630 . 0444

1.750 0.8017 1.2087 1.0239 0.9567 0.9635 0.0447

1.775 0.8295 1.2001 0.9756 0.9548 0.9641 0.0448

1.800 0.8583 1.1757 0.9721 0.9532 0.9646 0.0449

1.825 0.8935 1.1496 0.9620 0.9521 0.9650 0.0450

1.850 0.9256 1.1105 0.9737 0.9512 0.9652 0.0450

1.875 0.9630 1.0704 0.9955 0.9507 0.9654 0.0452

1.900 0.9946 1.0323 1.0197 0.9504 0.9653 0.0453

1.925 1.0308 0.9993 1.0324 0.9504 0.9651 0.0456

1.950 1.0628 0.9649 1.0809 0.9505 0.9647 0.0459

1.975 1.0916 0.9437 1.1079 0.9508 0.9642 0.0462

2.000 1.1210 0.9272 1.1194 0.9511 0.9636 0.0466

2.025 1.1390 0.9090 1.1594 0.9516 0.9628 0.0471

2.050 1.1585 0.9089 1.1415 0.9521 0.9620 0.0475

2.075 1.1678 0.9092 1.1234 0.9527 0.9611 0.0479

2.100 1.1746 0.9096 1.1047 0.9533 0.9602 0.0482

2.125 1.1698 0.9181 1.1088 0.9538 0.9593 0.0485

2.150 1.1616 0.9291 1.0645 0.9544 0.9585 0.0487

2.175 1.1476 0.9431 1.0416 0.9548 0.9578 0.0489

2.200 1.1276 0.9618 1.0165 0.9553 0.9571 0.0490

2.225 1.1051 0.9803 1.0061 0.9556 0.9566 0.0490

2.250 1.0819 0.9968 0.9891 0.9559 0.9562 0.0490

2.275 1.0564 1.0162 0.9752 0.9561 0.9558 0.0490

2.300 1.0334 1.0254 0.9834 0.9562 0.9556 0.0490

2.325 1.0091 1.0310 0.9657 0.9562 0.9554 0.0490

2.350 0.9903 1.0412 0.9947 0.9562 0.9552 0.0490

2.375 0.9682 1.0470 0.9832 0.9560 0.9552 0.0490

2.400 0.9507 1.0487 1.0050 0.9558 0.9551 0.0490

2.425 0.9373 1.0423 1.0144 0.9556 0.9551 0.0490

2.450 0.9273 1.0325 1.0393 0.9552 0.9550 0.0491

2.475 0.9154 1.0255 1.0276 0.9548 0.9549 0.0492

2.500 0.9094 1.0134 1.0521 0.9544 0.9548 0.0493

2.525 0.9070 1.0020 1.0490 0.9539 0.9547 0.0494

96
2 .550 .9012 .9924 1 .0347 .9534 .9545 .0495

2 .575 .9009 .9831 1 .0462 .9529 .9544 .0496

2 .600 .9016 .9747 1 .0277 .9524 0,.9541 .0496

2 .625 .9045 .9671 1 .0158 .9519 .9539 .0497

2 .650 .9117 .9599 1 .0145 .9515 .9536 .0497

2 .675 .9168 .9580 1 .0226 .9511 .9532 .0497

2 .700 .9275 .9553 1 .0322 .9507 .9529 .0498

2 .725 .9372 .9568 1 .0156 .9504 0,.9526 .0498

2 .750 .9473 .9552 1 .0222 .9501 .9523 .0498

2 .775 .9587 .9626 1 .0114 .9499 .9520 .0498

2 .800 .9694 .9641 1 .0039 .9497 0,,9518 0,.0498

2 .825 .9785 .9705 .9759 0,.9496 .9516 0,.0498

2 .850 .9914 .9772 1 .0057 .9496 0,.9514 .0498

2 .875 1,.0023 0,.9850 .9964 .9496 0,.9512 .0498

2 .900 1 .0146 0,.9895 1,.0038 0,.9496 0.,9511 0,.0498

2 .925 1 .0208 0,.9956 1 .0093 0,.9496 0,.9510 0,.0498

2 .950 1,.0303 1,.0001 .9845 0,.9497 0,,9510 0,.0498

2 .975 1,.0376 1,,0028 .9852 0,.9499 0,,9510 .0498

3 .000 1,.0426 1,.0089 1 .0102 0,,9500 0,,9510 0,.0498

3 .025 1,,0491 1,.0085 0,.9802 0,.9502 0.,9510 0,.0498

3 .050 1.,0516 1..0069 .9735 0,.9503 0,,9510 0,.0497

3,.075 1..0537 1,,0116 1,,0122 0,,9505 0,,9510 0,.0497

3,,100 1,.0500 1.,0063 0,,9868 0,,9506 0,.9510 0,,0497

3..125 1,,0494 1,,0048 0,.9812 0,,9508 0,,9510 0,.0497

3,.150 1,,0464 1,,0035 0,.9912 0.,9509 0.,9510 0,.0497

3,.175 1,,0432 1,,0029 0,.9945 0.,9511 0.,9510 0,,0497

3..200 1,,0385 0,,9943 0,.9833 0.,9512 0.,9510 0,.0497

3,.225 1.,0317 0.,9912 0,.9928 0.,9513 0,,9510 0,,0497

3,.250 1.,0238 0.,9904 0,,9963 0,,9513 0.,9509 0,,0497

3..275 1,,0178 0,,9875 0,,9864 0,,9514 0,,9509 0,.0497

3.,300 1,,0135 0,,9843 0.,9961 0,,9514 0.,9508 0,.0497

3,,325 1,,0047 0,,9835 1,,0140 0,,9515 0,,9507 0,,0497

3,,350 1,,0005 0,,9869 1,,0108 0.,9514 0,,9506 0,.0497

3,,375 0,,9957 0,,9891 1,,0140 0,,9514 0,,9506 0,.0497

3,,400 0,.9895 0,,9837 1,,0228 0,,9514 0,,9505 0..0497

3,,425 0,,9855 0,,9876 1,,0147 0,,9513 0.,9504 0..0497

3,,450 0..9777 0,,9961 1,,0113 0,,9513 0,,9504 0,,0498

3,,475 0..9789 0,,9916 1,,0069 0.,9512 0,,9503 0.,0498

3,,500 0,.9761 0,,9940 1.,0074 0,,9511 0,,9503 0,,0498

3,,525 0.,9749 0.,9931 1,,0150 0,,9510 0,,9503 0,,0498

3.,550 0.,9741 1,,0003 1,,0110 0.,9510 0,,9503 0,,0498

3,.575 0,,9732 1.,0031 1.,0078 0.,9509 0,,9503 0.,0498

3,,600 0..9768 1.,0028 1,,0105 0,,9508 0.,9502 0,,0498

3,,625 0,,9788 1.,0059 1,,0141 0,,9507 0,,9502 0,,0498

3,,650 0..9779 1,,0071 1.,0120 0.,9506 0.,9502 0,,0498

3,,675 0. 9800 1,,0069 1.,0103 0,,9506 0.,9502 0,,0499

3,,700 0.,9855 1.,0055 1,,0027 0,,9505 0,,9502 0,,0499

3,,725 0.,9869 1.,0058 1.,0043 0.,9505 0.,9502 0,,0499

3,.750 0. 9915 1.,0051 1.,0181 0,,9504 0.,9502 0.,0499

3,,775 0.,9955 1. 0085 1.,0000 0,,9504 0.,9502 0,,0499

3,,800 0.,9993 1.,0041 1.,0000 0,,9504 0.,9502 0,,0499

3,,825 1.,0024 1.,0048 1.,0000 0.,9504 0.,9502 0,,0499

3,,850 1.,0061 1,,0025 1,,0000 0.,9504 0,,9502 0.,0499

3..875 1.,0093 1.,0015 1.,0000 0,,9504 0.,9502 0,,0499

3..900 1. 0104 0,,9992 1.,0000 0.,9505 0.,9502 0,,0499

3,.925 1.,0136 0.,9982 1.,0000 0.,9505 0,,9502 0,,0499

3,.950 1. 0160 0, 9988 1.,0000 0,,9505 0. 9502 0,,0499

3..975 1.,0191 0,,9972 1.,0000 0.,9506 0.,9502 0.,0499

4,.000 1. 0000 1. 0000 1.,0000 0.,9506 0. 9502 0,,0499

-97
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-l . ''22/^ir 2.00 p*= 0.128 0.0498 €22/^11= 1.50

R* '11 '12 '22

X

11 12 22

.850 .0000 .0000 .0000 .0000 .0000 .0000

.875 .0000 .0001 .0000 .0000 .0000 .0000

.900 .0000 .0021 .0002 .0000 .0000 .0001

.925 .0000 .0324 .0067 .0000 .0000 .0030

.950 .3750 .2078 .0851 .0000 .0000 .0459

.975 1 .1061 .7504 .4464 .0000 .0000 .2524

1,.000 2 .0426 I..5924 1 .2904 .0000 .0000 .5697

1,.025 3,.5778 2 .3943 2 .4541 .0000 .0000 .7760

1,.050 4,.0563 2..9591 3,.4838 .0000 .0000 .8721

1,.075 4,.0476 3..1258 4 .0124 .0000 .0000 .9163

1,.100 4,.4651 2,.9803 3,.9916 .0000 .0000 0,.9381

1,.125 4,.0778 2,.7013 3,.5639 .0000 .0000 0,.9498

1,.150 4,.0213 2,.3642 2,.9447 .0000 .0000 0,.9563

1,.175 3,.4493 2,.0467 2 .2938 .0000 .0000 0,.9600

1,,200 3,.2315 1,.7504 1,.7096 .0000 .9999 0,.9619

1,.225 2,.6097 1,.5210 1,.2290 .0000 .9987 0,.9627

1,.250 2,.5141 1,.3332 0,.8719 .0000 .9867 0,.9627

1,.275 2,.1934 1,.1849 0,.6091 .0000 .9225 0,.9622

1,.300 1,.9096 1,.0776 0,.4362 .0000 .7476 0,.9612

1,.325 1,.8313 0,.9822 0,.3298 0,.9999 0,.5045 0,.9600

1,.350 1,.5453 0,.9132 0,.2731 0,.9993 .3093 0,.9585

1,.375 1,,5215 0,.8473 0,.2580 0,.9946 0,.1923 0,.9570

1,.400 1.,2950 0,.8061 0,.2728 0,.9737 0,.1279 0,.9555

1,,425 1,,1607 0,,7825 0..3162 0,.9078 0,.0920 0,.9540

1,,450 1.,0578 0,,7526 0,.3810 0,.7675 0,.0710 0,.9528

1.,475 0,,8000 0,,7517 0,.4624 0,.5793 .0582 0..9519

1,,500 0,,7682 0,,7275 0..5532 0,.4088 0,.0502 0,.9512

1,,525 0.,8160 0,,7218 0,.6326 0,.2875 0,.0450 0,.9508

1,,550 0,,6641 0,,7266 0,.6925 0..2086 0,.0416 0,.9505

1.,575 0,,5652 0.,7250 0,.7204 0..1575 0,.0394 0,.9503

1,,600 0,,6327 0.,7301 0,.7082 0,.1243 0..0381 0,.9500

1,,625 0,,6134 0,,7408 0,.6673 0,,1025 0,.0374 0.,9494

1.,650 0.,5683 0,,7630 0..6012 0,.0875 0,.0372 0,,9485

1.,675 0.,5988 0,,7804 0,,5382 0,,0769 0,.0374 0,,9471

1.,700 0,,4768 0.,8015 0,.4937 0,.0691 0,.0378 0.,9453

1,,725 0,,5768 0.,8253 0.,4923 0..0634 0,.0385 0,,9433

1,,750 0.,4657 0.,8444 0,.5530 0,,0590 0,.0394 0.,9412

1.,775 0..5217 0,,8565 0,.6903 0,.0556 0,.0404 0,,9394

1,,800 0.,5708 0,,8635 0..9077 0,.0530 0,.0415 0.,9382

1,,825 0.,4536 0,,8677 1,.1833 0.,0509 0,.0426 0.,9380

1,,850 0,,4980 0,,8775 1.,4853 0.,0491 0,,0438 0.,9388

1,,875 0.,4573 0.,8494 1,,7551 0,,0477 0..0449 0,,9404

1.,900 0.,5022 0.,8353 1,,9382 0,,0465 0,,0460 0,,9426

1.,925 0,,5839 0.,8055 2,.0002 0,,0457 0,.0469 0.,9450

1,,950 0.,5277 0,,7768 1,,9305 0.,0450 0,,0477 0..9472

1.,975 0,,5051 0,,7601 1.,7532 0,.0443 0.,0483 0..9491

2.,000 0.,5530 0,,7423 1,,5139 0,,0438 0,,0488 0..9505

2,,025 0.,4746 0,,7469 1,,2740 0,,0433 0.,0491 0..9514

2,,050 0.,5206 0.,7542 1,,0622 0.,0429 0,,0493 0. 9520

2.,075 0.,6176 0,,7747 0,,9182 0.,0427 0,,0495 0. 9522

2,,100 0.,5454 0.,8114 0,.8452 0,,0425 0,,0497 0..9524

2,,125 0.,5835 0,,8640 0.,8335 0,,0424 0.,0499 0..9525

2.,150 0.,5596 0,,9281 0,,8576 0.,0422 0,,0502 0. 9525

2,,175 0,,5902 1.,0019 0,,8894 0.,0421 0.,0508 0. 9526

2,,200 0.,6044 1,,0918 0,,9113 0.,0421 0.,0515 0. 9527

2,,225 0.,6397 1.,1835 0,,9090 0.,0421 0.,0525 0. 9528

2.,250 0,,6972 1,,2710 0,,8839 0.,0421 0.,0537 0. 9527

2.,275 0.,7473 1,,3603 0,,8459 0.,0423 0.,0552 0. 9525

2.,300 0,,7312 1.,4220 0,,8109 0.,0425 0..0567 0. 9522

2.,325 0.,6842 1,,4703 0,,7926 0..0427 0. 0583 0. 9518

2.,350 0,,6873 1.,4965 0.,8050 0..0428 0. 0598 0. 9514

2,,375 0,,6557 1.,4824 0.,8477 0. 0428 0. 0610 0. 9510

2.,400 0.,7156 1.,4408 0, 9150 0..0429 0. 0618 0. 9506

2.,425 0.,7214 1.,4021 0,,9917 0..0431 0. 0621 0. 9504

2.,450 0..7249 1.,3286 1.,0632 0. 0432 0. 0618 0. 9503

2.,475 0.,7123 1.,2539 1,,1035 0. 0433 0. 0609 0. 9503

2,.500 0,,7542 1.,1896 1,,1079 0..0434 0. 0596 0. 9504

2,.525 0,,7754 1,,1156 1,,0697 0..0435 0. 0579 0. 9504

98
2.550

2.575

2.600

2.625

2.650

2.675

.700

.725

.750

.775

.800

.825

.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

.350

.375

.400

.425

.450

.475

.500

3.525

3.550

3.575

600

625

650

675

700

725

750

775

800

3.825

850

875

900

925

950

975

000

0.6766

0.8240

0.6920

0.7473

0.7556

0.8192

0.8357

0.7830

0.6905

0.8570

0.8079

0.8148

0.8289

0.8452

0.9529

0.8830

0.8709

0.9273

0.9374

0.9458

0.9654

0.9600

0.9924

1.0842

0.9806

0.9125

1.0128

0.9413

0.9853

0.9218

0.9579

0.9304

0.9349

0.8670

0.8532

0.8490

0.8815

0.9059

0.8209

0.8200

0.8162

0.8020

0.8282

0.7993

0.8365

0.7965

0.8326

0.8310

0.7908

0.8295

0.7868

0.8080

0.7845

0.8227

0.7995

0.7720

0.7941

0.8055

1.0000

1.0449

0.9867

0.9414

0.8879

0.8521

0.8276

0.8028

0.7827

0.7714

0.7514

0.7587

0.7490

0.7567

0.7690

0.7890

0.8056

0.8274

0.8707

0.8953

0.9385

0.9853

1.0135

1.0542

,0728

,0955

,0958

,1040

0930

,0815

1.0755

1.0627

1.0566

1.0510

1.0522

1.0608

1.0675

1.0742

1.0765

1.0830

1.0823

1.0855

1.0784

1.0657

1.0643

1.0581

1.0484

1.0476

1.0384

1.0289

1.0156

1.0015

0.9860

0.9637

. 9440

0.9153

0.8943

0.8769

0.8629

1.0000

0.9982

0.9078

0.8175

0.7423

0.6875

0.6577

0.6535

0.6711

0.7151

0.7916

0.9043

,0524

2225

3909

5351

6250

6443

5842

1.4627

1.3006

1.1231

0.9602

0.8237

0.7313

0.6785

0.6711

0.7014

0.7583

0.8360

0.9159

0.9906

1.0464

1.0765

1.0832

1.0680

1 . 0404

1.0052

0.9734

0.9411

0.9174

0.8978

0.8848

0.8791

0.8795

0.8831

0.8872

0.8908

0.8947

0.9035

0.9194

0.9469

0.9889

0476

1192

2003

2789

3455

,3875

1.0000

0.0436

0.0436

0.0437

0.0437

0.0437

0.0438

0.0439

0.0439

0.0439

0.0439

. 0440

. 0441

. 0442

. 0444

0.0446

. 0449

0.0451

0.0454

0.0457

0.0461

0.0464

0.0468

0.0471

0.0475

0.0478

0.0480

0.0482

0.0483

0.0484

0.0483

0.0482

0.0481

0.0478

0.0475

0.0471

0.0466

0.0461

0.0456

0.0451

0.0446

. 0441

0.0436

0.0431

0.0427

0.0424

0.0421

0.0418

0.0416

0.0414

0.0413

0.0412

0.0411

0.0411

0.0411

0.0411

0.0411

0.0412

0.0413

0.0415

0.0562

0.0544

0.0528

0.0513

0.0502

0.0493

0.0486

0.0482

0.0479

0.0477

0.0476

0.0476

0.0475

0.0475

0.0474

0.0473

0.0473

0.0472

0.0473

0.0474

0.0476

0.0478

0.0482

0.0485

0.0488

0.0491

0.0494

0.0496

0.0497

0.0497

0.0497

0.0496

0.0496

0.0496

0.0496

0.0497

0.0499

0.0501

0.0504

0.0508

0.0512

0.0516

0.0520

0.0524

0.0527

0.0530

0.0533

0.0534

0.0535

0.0534

0.0532

0.0528

0.0523

0.0517

0.0510

0.0503

0.0496

0.0490

0.0485

0.9504

0.9502

0.9500

0.9496

0.9491

0.9485

0.9480

0.9475

0.9470

0.9467

0.9465

0.9466

0.9468

0.9474

0.9481

0.9490

0.9499

0.9508

0.9515

0.9519

0.9521

0.9521

0.9519

0.9516

0.9513

0.9509

0.9505

0.9502

0.9500

0.9499

0.9498

0.9499

0.9499

0.9500

0.9501

0.9502

0.9502

0.9502

0.9501

0.9501

0.9500

0.9499

0.9498

0.9497

0.9495

0.9494

0.9494

0.9493

0.9492

0.9491

0.9491

0.9491

0.9491

0.9492

0.9494

0.9496

0.9499

0.9503

0.9504

99
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . ''22/''ir

2 .00 p*= 0.131 x^=0. 0995 622:/^ir ^• 50

R* Sll ^12 ^22 ^11 ^12 ^22

0.850 .0000 .0000 .0000 1.0000 1.0000 0,.0000

0.875 .0000 .0000 .0000 1.0000 1.0000 0,.0000

0.900 .0047 0,.0013 .0004 1.0000 1.0000 .0001

0.925 .0753 0,.0306 .0169 1.0000 1.0000 .0032

0.950 .4033 0,.2106 .1683 1.0000 1.0000 .0411

0.975 .9691 0,.7676 .7150 1.0000 1.0000 .1997

1.000 1,.9297 1,.6741 1,.7096 1.0000 1.0000 .4551

1.025 2 .8832 2,.6175 2 .7491 1.0000 1.0000 0,.6568

1.050 3,.4937 3.,2330 3 .3873 1.0000 1.0000 .7716

1.075 3,.7596 3,,5013 3,.5141 1.0000 1.0000 0,.8330

1.100 3 .5750 3,,4064 3 .2604 1.0000 1.0000 0,.8670

1.125 3,.4059 3,,1144 2,.8194 1.0000 1.0000 .8868

1.150 3,.2078 2,,7612 2,.3567 1.0000 1.0000 0,.8989

1.175 2,.9355 2,,4044 1,.9301 1.0000 1.0000 0,.9065

1.200 2,.6328 2,,0660 1,.5828 1.0000 0.9999 0,.9114

1.225 2,.2586 ,7705 1,,3030 1.0000 0.9986 0,.9145

1.250 2,,0454 ,5339 1,.0793 1.0000 0.9868 0,.9163

1.275 1,,7934 ,3585 0,,9119 1.0000 0.9336 0,.9173

1.300 1,,5277 ,1776 0,,7830 1.0000 0.8003 0,.9175

1.325 1,,5008 ,0497 0,,6865 1.0000 0.6086 0,,9173

1.350 1,,3750 o'.,9391 0,,6139 0.9998 0.4321 0,,9166

1.375 1,,2272 0,.8543 0,,5598 0.9975 0.3075 0,.9155

1.400 1,,1877 0,,7847 0,,5209 0.9859 0.2284 0,,9141

1.425 1,,0885 0.,7280 0,,4952 0.9466 0.1791 0,,9124

1.450 1,,0260 0,,6856 0,,4797 0.8542 0.1477 0.,9105

1.475 0.,9323 0..6543 0.,4744 0.7089 0.1271 0,.9084

1.500 0,,8442 0..6225 0,,4826 0.5490 0.1132 0.,9060

1.525 0,,7939 0,.6045 0,,4950 0.4125 0.1036 0,,9036

1.550 0,,7874 0..6001 0.,5141 0.3124 0.0968 0,,9010

1.575 0,,7382 0,.5895 0,,5413 0.2436 0.0921 0,,8985

1.600 0,,7020 0,.5874 0,,5735 0.1966 0.0886 0,,8961

1.625 0,,6805 0..5779 0,,6095 0.1640 0.0862 0,,8938

1.650 0,,6851 0,.5889 0,,6536 0.1411 0.0845 0,,8917

1.675 0,,6432 0,.6081 0,,7087 0.1248 0.0834 0,,8899

1.700 0,,6336 0,.6214 0,,7729 0.1128 0.0827 0,,8883

1.725 0.,6294 0,.6334 0,,8444 0.1039 0.0825 0,,8871

1.750 0,,6673 0,.6524 0,,9225 0.0972 0.0825 0,,8862

1.775 0,,6522 0.,6727 1,,0002 0.0921 0.0829 0,,8856

1.800 0,.6518 0..7029 1,,0771 0.0881 0.0834 0,,8854

1.825 0,,6079 0,.7274 1,,1452 0.0850 0.0842 0,,8856

1.850 0.,6159 0,.7485 1,,2018 0.0826 0.0851 0.,8860

1.875 0,,6222 0,.7904 1,,2431 0.0807 0.0863 0.,8867

1.900 0.,6910 0..8247 1,,2715 0.0793 0.0876 0,,8877

1.925 0,,6200 0,.8437 1.,2888 0.0782 0.0890 0,,8888

1.950 0,,6840 0,.8868 1.,2992 0.0774 0.0905 0..8901

1.975 0.,7134 0,.9309 1,,3022 0.0770 0.0922 0,.8916

2.000 0,,6692 0..9608 1,,3063 0.0767 0.0940 0..8931

2.025 0.,6629 0..9954 1,,3133 0.0765 0.0958 0..8946

2.050 0,,6838 .0274 1.,3183 0.0765 0.0977 0..8963

2.075 0,,6683 .0615 1.,3093 0.0766 0.0996 0.,8979

2.100 0,,6903 .0809 1,,2905 0.0768 0.1015 0.,8994

2.125 0,,7212 .0944 1.,2549 0.0771 0.1033 0. 9008

2.150 0,,6684 .1081 1,,2133 0.0775 0.1051 0.,9020

2.175 0,,6924 .1340 1,,1565 0.0779 0.1067 0. 9031

2.200 0,,7097 .1464 1.,0985 0.0784 0.1083 0. 9039

2.225 0,,7352 .1544 1,,0368 0.0790 0.1097 0. 9045

2.250 0.,8021 .1762 0,,9741 0.0797 0.1109 0. 9048

2.275 0..7267 .1911 0,,9196 0.0805 0.1120 0. 9050

2.300 0,,7841 .2101 0,,8722 0.0812 0.1129 0. 9049

2.325 0.,7519 .2304 0,.8319 0.0820 0.1136 0. 9047

2.350 0,,8156 .2487 0,.7982 0.0828 0.1141 0. 9043

2.375 0.,8267 .2665 0..7729 0.0837 0.1145 0. 9037

2.400 0,,8781 .2595 0,.7570 0.0847 0.1146 0. 9031

2.425 0.,9219 .2635 0.,7481 0.0859 0.1145 0. 9024

2.450 0,,8862 .2617 0,.7481 0.0870 0.1142 0. 9016

2.475 0.,8801 .2487 0..7550 0.0880 0.1138 0. 9008

2.500 0,,9172 .2186 0.,7701 0.0890 0.1133 0. 9000

2.525 0,.9277 .1885 0.,7905 0.0901 0.1126 0. 8992

-100-
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.115

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

.100

,125

150

,175

200

225

250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

.650

.675

.700

.725

.750

,775

800

,825

3.850

875

900

925

950

975

0.9766

0.9738

0.9910

0.9992

1.0171

0.9972

0.9777

1.0125

0.9997

4.000

0580

0610

0998

1020

1389

1045

1327

1937

1763

1745

2194

2744

2133

2530

2237

2372

1.2265

1.2207

1.1683

1.1676

1.1676

1.1527

1.1430

1.1088

1.0521

1.0147

0.9964

1.0011

0.9482

0.9960

0.9056

0.9179

0.8813

0.8972

0.8806

0.8953

0.8789

0.8499

0.8509

0.8546

0.8394

0.8599

0.8497

0.8645

0.8893

0.8906

0.8744

0.8986

0.9161

1.0000

1.1536

1.1083

1.0666

1.0328

0.9892

0.9543

0.9199

0.8940

0.8696

0.8553

0.8367

0.8247

0.8134

0.8127

0.8181

0.8191

0.8247

0.8311

0.8422

0.8570

0.8702

0.8907

0.9066

0.9248

0.9434

0.9634

0.9808

0.9989

1.0144

1.0298

1.0482

1.0605

1.0751

1.0894

1.0951

1037

1059

1070

1032

1018

1055

0968

0940

0812

1.0738

0649

0581

0489

0430

0307

0236

1.0146

1.0021

0.9911

0.9829

0.9747

0.9624

0.9542

1.0000

0.8175

0.8487

0.8851

0.9236

0.9627

1.0019

1.0405

1.0741

1037

1288

1494

1596

1669

1644

1599

1488

1317

1.1143

,0974

,0782

,0610

,0429

,0242

1.0074

0.9908

0.9744

0.9585

0.9431

0.9317

0.9187

0.9078

0.9011

0.8962

0.8959

0.8961

0.9007

0.9101

0.9216

0.9363

0.9522

0.9691

0.9875

0079

0240

0402

0532

0661

0741

1.0823

1.0856

1.0840

1.0822

1.0769

1.0686

1.0597

1.0484

1.0373

1.0254

1.0000

0.0912

0.0923

0.0934

0.0944

0.0955

0.0964

0.0973

0.0981

0.0989

0.0996

0.1004

0.1011

0.1018

0.1025

0.1031

0.1037

0.1042

0.1047

0.1051

0.1055

0.1060

0.1063

0.1066

0.1068

0.1070

0.1071

0.1072

0.1072

0.1071

0.1069

0.1068

0.1066

0.1063

0.1060

0.1055

0.1050

. 1044

0.1038

0.1032

0.1026

0.1018

0.1011

0.1004

0.0997

0.0990

0.0983

0.0977

0.0970

0.0964

0.0959

0.0954

0.0950

0.0946

0.0943

0.0941

0.0939

0.0938

0.0937

0.0938

0.1118

0.1108

0.1099

0.1088

0.1077

0.1065

0.1054

0.1041

0.1029

0.1017

0.1006

0.0995

0.0986

0.0977

0.0969

0.0963

0.0958

0.0954

0.0952

0.0950

0.0950

0.0951

0.0953

0.0956

0.0960

0.C964

0.0969

0.0974

0.0980

0.0986

0.0992

0.0998

0.1004

0.1010

0.1016

0.1021

0.1025

0.1029

0.1033

0.1035

0.1037

0.1038

0.1038

0.1038

0.1037

0.1035

0.1033

0.1031

0.1028

0.1025

0.1022

0.1019

0.1016

0.1012

0.1009

0.1006

0.1003

0.1000

0.0998

0.8984

0.8978

0.8972

0.8967

0.8964

0.8962

0.8962

0.8962

0.8964

0.8967

0.8970

0.8974

0.8978

0.8982

0.8986

0.8991

0.8995

0.8999

0.9002

0.9004

0.9005

0.9006

0.9007

0.9007

0.9007

0.9007

0.9006

0.9005

0.9004

0.9002

0.9001

0.8999

0.8997

0.8995

0.8993

0.8991

0.8990

0.8988

0.8987

0.8987

0.8986

0.8986

0.8987

0.8987

0.8988

0.8989

0.8991

0.8992

0.8994

0.8996

0.8997

0.8999

0.9001

0.9002

0.9003

0.9004

0.9005

0.9005

0.9005

101
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=1.0

'll^^'Yl

= 2 .00 p*= 0.152 x^=0. 2500 e22i/^r 1- 50

R* Sll hi §22 ^11 ^12 ^22

0.850 .0000 .0000 .0000 1.0000 1.0000 .0000

0.875 .0000 .0000 .0000 1.0000 1.0000 .0000

0.900 .0066 .0017 .0006 1.0000 1.0000 .0000

0.925 .0736 .0286 .0177 1.0000 1.0000 .0012

0.950 .3125 .2080 .1672 1.0000 1.0000 .0143

0.975 .9854 .7440 .7016 1.0000 1.0000 .0765

1.000 1,.9403 1 .6282 1 .6766 1.0000 1.0000 .2160

1.025 2 .7771 2 .5348 2 .6936 1.0000 1.0000 .3865

1.050 3,.4807 3 .1906 3 .3152 1.0000 1.0000 .5260

1.075 3,.7051 3 .4203 3 .4362 1.0000 1.0000 .6205

1.100 3 .7272 3 .3662 3 .1965 1.0000 1.0000 .6811

1.125 3 .5895 3 .1038 2 .7727 1.0000 1.0000 .7196

1.150 3,.1981 2 .7201 2 .3008 1.0000 1.0000 .7442

1.175 2,.8514 2 .3918 1 .9022 1.0000 1.0000 .7602

1.200 2,.5785 2 .0601 1,.5580 1.0000 1.0000 .7705

1.225 2,.3059 1 .7587 1,.2812 1.0000 0.9995 .7770

1.250 2,.0744 1,.5396 1,.0697 1.0000 0.9954 .7808

1.275 1,.8071 1,.3318 0,.9124 1.0000 0.9766 .7826

1.300 1,,6596 1 .1725 0,.7831 1.0000 0.9235 .7829

1.325 1,.5127 1,.0513 0,.6960 1.0000 0.8248 .7820

1.350 1,,3847 0,.9389 0,.6272 0.9999 0.6978 .7802

1.375 1,,2559 0,,8575 0,,5757 0.9992 0.5744 .7776

1.400 1,,1660 0,.7930 0,,5396 0.9955 0.4740 .7745

1.425 1,,0883 0,,7398 0,,5228 0.9821 0.3994 .7709

1.450 0,,9854 0.,6945 0,,5177 0.9479 0.3458 .7670

1.475 0,,9226 0,,6574 0,,5208 0.8834 0.3076 .7629

1.500 0,,8917 0,,6411 0,.5372 0.7913 0.2804 0,.7586

1.525 0,,8066 0.,6196 0,,5586 0.6868 0.2610 0,.7543

1.550 0,,7872 0,,6123 0,,5874 0.5866 0.2470 0,.7500

1.575 0,,7466 0,,6091 0,,6171 0.5007 0.2368 0.,7458

1.600 0,,7420 0,,6109 0,,6432 0.4319 0.2295 0,,7419

1.625 0,,6859 0,,6146 0,,6800 0.3787 0.2243 0.,7382

1.650 0.,6774 0,,6324 0,,7140 0.3378 0.2208 0,,7348

1.675 0,.6639 0,,6431 0,,7548 0.3064 0.2186 0,,7318

1.700 0,.6647 0,,6616 0,,8009 0.2824 0.2174 0,,7292

1.725 0,.6386 0,,6824 0,,8522 0.2639 0.2170 0,,7270

1.750 0,.6406 0,,7009 0,.9105 0.2496 0.2174 0,,7252

1.775 0,.6534 0,,7227 0,.9701 0.2383 0.2183 0,,7239

1.800 0..6477 0,,7507 1,.0377 0.2295 0.2198 0,,7231

1.825 0,.6555 0,,7738 1,.0875 0.2226 0.2217 0,,7228

1.850 0,.6496 0,,7912 1,.1417 0.2173 0.2239 0,,7232

1.875 0..6490 0,,8122 1..1822 0.2130 0.2264 0,,7240

1.900 0,.6454 0,.8364 1..2104 0.2097 0.2291 0,,7255

1.925 0,.6482 0,.8622 1..2271 0.2072 0.2320 0,,7273

1.950 0,.6823 0,.8870 1..2448 0.2054 0.2350 0.,7294

1.975 0,,7151 0,.9147 1,.2620 0.2044 0.2382 0,,7319

2.000 0,,6999 0,.9440 1..2777 0.2038 0.2414 0.,7347

2.025 0,,7080 0,.9735 1.,2858 0.2035 0.2447 0.,7376

2.050 0,,6903 0,.9987 1.,2953 0.2035 0.2479 0.,7407

2.075 0,,7173 1,.0208 1.,2865 0.2038 0.2511 0.,7438

2.100 0,,7594 1..0461. 1.,2728 0.2045 0.2542 0.,7467

2.125 0,,7592 1..0590 1.,2438 0.2054 0.2571 0. 7495

2.150 0,,7629 1..0828 1.,2010 0.2065 0.2600 0. 7519

2.175 0,,7880 1,.1002 1.,1500 0.2079 0.2626 0. 7539

2.200 0,,7756 1..1205 1.,0943 0.2093 0.2652 0.,7554

2.225 0,,8037 1..1277 1. 0371 0.2109 0.2675 0. 7565

2.250 0,.8226 1..1471 0. 9826 0.2127 0.2695 0. 7572

2.275 0,.8239 1..1699 0.,9305 0.2145 0.2714 0. 7575-

2.300 0..8463 1,.1837 0. 8885 0.2165 0.2730 0. 7573

2.325 0,.8393 1..2090 0. 8519 0.2184 0.2744 0. 7569

2.350 0,.8697 1,.2254 0. 8267 0.2205 0.2755 0. 7561

2.375 0..8591 1.,2442 0. 8067 0.2225 0.2764 0. 7552

2.400 0,.8745 1..2496 0. 7958 0.2246 0.2769 0. 7540

2.425 0..8866 1.,2552 0. 7893 0.2266 0.2772 0. 7528

2.450 0,.9024 1..2386 0. 7907 0.2287 0.2771 0. 7514

2.475 0,.9017 1..2299 0. 7991 0.2307 0.2767 0. 7500

2.500 0,.9574 1..2014 0. 8162 0.2328 0.2760 0. 7487

2.525 0,.9475 1.,1708 0. 8357 0.2349 0.2749 0. 7474

102
2.550

2.575

.600

,625

,650

.675

2.700

1.11b

1.150

2.775

2.800

2.825

,850

,875

,900

,925

,950

,975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9711

0.9823

0.9825

1.0075

1.0092

0.9995

1.0230

1.0105

1.0283

1.0491

1.0568

0706

0741

0842

1040

1350

1349

1548

1863

1607

1990

1.1829

1891

2163

1924

1942

1792

1500

1516

1492

1082

1039

1.0737

1.0491

1.0253

1.0168

0.9926

0.9924

0.9580

0.9500

0.9420

0.9205

0.9060

0.8982

0.8849

0.8889

0.8757

0.8779

0.8786

0.8661

0.8732

0.8699

0.8732

0.8725

0.8801

0.8830

0.8848

0.8755

1.0000

1.1379

1.1054

1.0677

1.0310

0.9911

0.9662

0.9388

0.9094

0.8851

0.8772

0.8624

0.8528

0.8432

0.8447

0.8483

0.8519

0.8551

0.8616

0.8686

0.8841

0.8945

0.9079

0.9225

0.9378

0.9510

0.9686

0.9848

0.9966

0069

0270

0363

0503

1.0508

1.0571

1.0660

1.0732

1.0728

1.0802-

1.0808

1.0812

1.0818

1.0775

1.0748

1.0723

1.0654

1.0643

1.0569

1.0537

1.0419

1.0388

1.0303

1.0175

1.0076

0.9990

0.9928

0.9821

0.9738

0.9643

1.0000

0.8571

0.8859

0.9111

0.9415

0.9707

0.9990

1.0273

1.0503

1.0703

,0886

.1037

,1129

,1206

,1208

,1214

,1141

,1060

,0943

,0807

0700

1.0570

1.0445

1.0287

1.0145

1.0024

0.9878

0.9752

0.9614

0.9504

0.9390

0.9314

0.9260

0.9209

0.9211

0.9221

0.9258

0.9338

0.9434

0.9523

0.9641

0.9767

0.9919

1.0031

1.0150

1.0281

1.0361

1.0441

1.0500

1.0545

1.0567

1.0558

0555

0519

0480

0415

0355

0286

1.0215

1.0000

0.2370

0.2390

0.2409

0.2428

0.2446

0.2463

0.2479

0.2494

0.2507

0.2521

0.2534

0.2546

0.2558

0.2569

0.2579

0.2590

0.2600

0.2609

0.2618

0.2625

0.2632

0.2638

0.2643

0.2648

0.2652

0.2654

0.2656

0.2656

0.2655

0.2653

0.2649

0.2645

0.2639

0.2632

0.2624

0.2615

0.2605

0.2594

0.2582

0.2570

0.2557

0.2543

0.2529

0.2515

0.2501

0.2488

0.2475

0.2463

0.2451

0.2441

0.2431

0.2423

0.2415

0.2409

0.2403

0.2399

0.2396

0.2394

0.2394

0.2737

0.2722

0.2706

0.2688

0.2668

0.2646

0.2624

0.2601

0.2578

0.2555

0.2533

0.2512

0.2493

0.2476

0.2461

0.2449

0.2440

0.2433

0.2428

0.2426

0.2426

0.2428

0.2431

0.2437

0.2443

0.2451

0.2460

0.2469

0.2479

0.2489

0.2500

0.2510

0.2520

0.2529

0.2537

0.2545

0.2551

0.2557

0.2562

0.2566

0.2569

0.2571

0.2572

0.2572

0.2571

0.2569

0.2567

0.2564

0.2560

0.2556

0.2552

0.2547

0.2542

0.2537

0.2532

0.2527

0.2522

0.2517

0.2513

0.7463

0.7453

0.7445

0.7438

0.7433

0.7430

0.7428

0.7429

0.7430

0.7433

0.7437

0.7442

0.7448

0.7454

0.7461

0.7468

0.7475

0.7482

0.7487

0.7491

0.7494

0.7496

. 7498

0.7499

0.7500

0.7499

0.7499

0.7497

0.7495

0.7493

0.7491

0.7488

0.7485

0.7482

0.7479

0.7476

0.7474

0.7472

0.7470

0.7469

0.7469

0.7469

0.7469

0.7470

0.7472

0.7474

0.7476

0.7478

0.7480

0.7483

0.7485

0.7488

0.7490

0.7492

0.7494

0.7495

0.7496

0.7497

0.7498

103-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-l . ,/a-,= 2.00 p*- 0.210 X,- 0.5000 e^^/e,,- 1.50

22' 11 22' 11

R* Sll ^12 ^22 ^11 ^12 ^22

850 0000 0000 .0000 1.0000 1.0000 0.0000

875 0000 0000 0000 1.0000 1.0000 0.0000

900 0039 0015 0005 1.0000 1.0000 0.0000

925 0625 0301 0172 1.0000 1.0000 0.0004

950 3470 2124 1674 1.0000 1.0000 0.0049

975 9879 7510 7003 1.0000 1.0000 0.0277

000 1 8947 1 6224 1 6530 1.0000 1.0000 0.0861

025 2 7952 2 5088 2 6183 1.0000 1.0000 0.1758

050 3 3436 3 1216 3 1931 1.0000 1.0000 0.2714

075 3 6449 3 3484 3 .3031 1.0000 1.0000 0.3531

100 3 5691 3 2525 3 .0521 1.0000 1.0000 0.4150

125 3 4014 2 9815 2 .6172 1.0000 1.0000 0.4587

150 3 1201 2 6358 2 1847 1.0000 1.0000 0.4886

175 2 7827 2 2741 1 7919 1.0000 1.0000 0.5086

200 2 4814 1 9668 1 4749 1.0000 1.0000 0.5214

225 2 2149 1 6909 1 2230 1.0000 0.9998 0.5291

250 1 9542 1 4741 1 0175 1.0000 0.9984 0.5328

275 1 7599 1 2868 8768 1.0000 0.9919 0.5336

300 1 5682 1 1253 7633 1.0000 0.9723 0.5323

325 1 4046 1 0055 6873 1.0000 0.9322 0.5294

350 1 2719 9225 6306 1.0000 0.8716 0.5256

375 1 1640 8387 5916 0.9997 0.7998 0.5211

400 1 0790 7781 5722 0.9984 0.7286 0.5164

425 9978 7256 5646 0.9935 0.6655 0.5116

450 9218 6942 5813 0.9809 0.6134 0.5069

475 8729 6750 6097 0.9556 0.5725 0.5026

500 8270 6603 6520 0.9154 0.5413 0.4987

525 7903 6588 6974 0.8628 0.5178 0.4954

550 7636 6631 7433 0.8036 0.5004 0.4925

575 7367 6724 7784 0.7440 0.4876 0.4901

600 7089 6885 8090 0.6887 0.4786 0.4880

625 6867 7125 8281 0.6401 0.4724 0.4862

650 6761 7380 8457 0.5990 0.4686 0.4843

675 6739 7616 8566 0.5651 0.4668 0.4825

700 6624 7903 8677 0.5373 0.4664 0.4807

725 6570 8140 8847 0.5148 0.4672 0.4788

750 6652 8378 9126 0.4967 0.4690 0.4769

775 6598 8515 9434 0.4823 0.4715 0.4753

1 800 6462 8606 9755 0.4706 0.4744 0.4739

1 825 6690 8654 1 0070 0.4613 0.4777 0.4729

1 850 6806 8733 1 0456 0.4542 0.4812 0.4725

1 875 6946 8800 1 0708 0.4486 0.4848 0.4726

1 900 7097 8886 1 1042 0.4445 0.4884 0.4732

1 925 7188 8913 1 1270 0.4416 0.4920 0.4745

1 950 7292 9008 1 1563 0.4397 0.4953 0.4763

1 975 7483 9142 1 1770 0.4386 0.4984 0.4786

2 000 7694 9285 1 2045 0.4384 0.5013 0.4813

2 025 7925 9438 1 2254 0.4388 0.5038 0.4843

2 050 8090 9567 1 2374 0.4397 0.5061 0.4876

2 075 8183 9712 1 2344 0.4411 0.5081 0.4909

2 100 8331 9886 1 2242 0.4429 0.5099 0.4941

2 125 8475 1 0043 1 1966 0.4450 0.5115 0.4970

2 150 8548 1 0132 1 1608 0.4474 0.5129 0.4995

2 175 8476 1 0359 1 1202 0.4499 0.5143 0.5016

2 200 8567 1 0540 1 0728 0.4525 0.5157 0.5032

2 225 8493 1 0662 1 0232 0.4551 0.5170 0.5042

2 250 8475 1 0869 9846 0.4577 0.5184 0.5047

2 275 8629 1 1122 9436 0.4602 0.5198 0.5048

2 300 8627 1 1333 9178 0.4628 0.5212 0.5045

2 325 8662 1 1519 8881 0.4654 0.5226 0.5039

2 350 8709 1 1719 8738 0.4678 0.5239 0.5031

2 375 8722 1 1896 8648 0.4702 0.5251 0.5021

2 400 8795 1 1982 8600 0.4724 0.5261 0.5011

2 425 8882 1 2003 8622 0.4746 0.5269 0.5000

2 450 8960 1 1907 8727 0.4766 0.5274 0.4989

2 475 8936 1 1807 8825 0.4785 0.5275 0.4979

2 500 9049 1 1576 8949 0.4802 0.5274 0.4970

2 525 9056 1 1351 9137 0.4818 0.5270 0.4962

104
2 .550 .9133 1 .1080 .9267 0,.4833 0,,5262 0,.4956 2 .575 .9260 1 .0781 .9450 0,.4846 0,,5251 0,.4950 2 .600 .9397 1 .0508 .9622 0,,4859 0.,5237 0,.4946 2 .625 .9412 1 .0218 0,.9817 0,,4871 0,.5220 0,.4943 2 .650 .9472 .9947 .9929 0.,4882 0,.5201 0,.4942 2 .675 .9635 .9749 1,.0073 0.,4893 0,,5180 0,.4941 2 .700 .9695 .9510 1,.0188 0,,4903 0.,5157 0..4941 2 .725 .9836 .9332 1,.0250 0,,4914 0.,5132 0,,4941 2 .750 1,.0061 .9212 1,.0360 0,,4926 0.,5107 0,.4943 2 .775 0,.9968 .9094 1,.0403 0.,4937 0,,5083 0,,4945 2 .800 1,.0244 .9039 1,.0440 0,,4948 0,,5059 0,.4947

2,.825 1,.0200 .8970 1,,0518 0,,4960 0,,5037 0,,4950

2,.850 1,.0430 .8963 1,.0565 0.,4971 0,.5017 0,.4953

2,.875 1,.0667 0,.8977 1,,0557 0.,4983 0,,4999 0..4957

2,.900 1,.0727 0,.8985 1,,0580 0.,4995 0.,4984 0..4961

2,.925 1,.0827 .9051 1,,0568 0.,5008 0,,4972 0,.4966

2,.950 1,.1006 0,.9127 1,.0533 0,,5020 0,,4962 0,.4970

2,.975 1,.1179 0,.9204 1,,0524 0,,5032 0.,4956 0..4975

3,.000 1..1318 0,.9293 1,.0492 0,,5044 0,,4953 0,.4979

3,.025 1,.1429 0,,9373 1,.0460 0,,5056 0,,4952 0,.4983

3,.050 1,.1532 0,.9482 1,.0433 0,,5068 0,,4953 0,.4986

3,.075 1,,1693 0..9545 1,.0344 0,,5079 0,,4956 0,.4989

3,,100 1,.1687 0..9661 1,,0277 0,,5090 0,,4961 0,,4991

3,,125 1,.1748 0.,9734 1.,0180 0.,5100 0,,4967 0,,4992

3,,150 1,.1720 0,.9795 1,,0098 0,,5109 0,,4974 0,.4993

3,,175 1,.1681 0,,9908 1,,0000 0,,5117 0,,4981 0,.4994

3,,200 1,,1543 0,.9944 0,,9927 0,,5123 0,,4989 0,.4994

3.,225 1,,1473 ,0004 0,,9821 0.,5128 0,,4998 0,,4993

3,,250 1,,1324 ,0053 0.,9753 0,,5132 0.,5006 0,.4992

3,,275 1,,1081 ,0095 0.,9712 0,,5134 0,,5013 0,.4991

3,,300 1.,1022 ,0149 0.,9644 0,,5134 0.,5021 0,.4989

3,,325 1,,0811 .0151 0.,9622 0,,5132 0,,5028 0,.4987

3,,350 1,,0632 ,0218 0.,9600 0.,5129 0.,5034 0,.4985

3.,375 1.,0532 ,0220 0.,9616 0.,5125 0,,5039 0,.4984

3.,400 1.,0271 .0263 0,,9605 0.,5119 0,,5044 0,.4982

3.,425 1.,0143 ,0310 0.,9640 0,,5111 0,,5048 0,.4980

3,,450 1.,0003 ,0322 0.,9684 0.,5102 0,,5052 .4979

3,,475 0,,9905 ,0341 0,,9724 0.,5092 0,,5055 .4978

3.,500 0,,9798 ,0315 0,,9776 0.,5081 0,,5057 0,.4977

3.,525 0.,9724 ,0343 0,,9874 0,,5069 0.,5058 0,.4976

3.,550 0,,9523 ,0345 0,,9916 0.,5056 0,,5059 0..4976

3,,575 0.,9497 ,0383 0,,9977 0,,5043 0.,5059 0..4976

3,,600 0,,9393 ,0364 1,,0036 0,,5029 0,,5059 0,.4977

3,.625 0.,9333 ,0371 1.,0084 0,,5015 0,,5059 0,.4978

3.,650 0,,9252 ,0374 1..0123 0,.5001 0,,5058 0,.4979

3.,675 0,,9236 ,0338 1.,0186 0,.4987 0,,5057 0,.4980

3.,700 0,,9198 .0325 1,,0232 0,.4974 0,,5055 0,.4981

3.,725 0,,9196 ,0300 1.,0225 0..4962 0,,5054 0,,4983

3,,750 0.,9160 ,0285 1.,0237 0,.4950 0,,5052 0,.4984

3,,775 0,,9165 .0243 1,.0227 0,.4940 0,,5050 0,.4986

3.,800 0,,9165 .0181 1,,0248 0,.4930 0.,5047 0,,4987

3.,825 0,,9220 .0159 1.,0216 0,.4922 0,,5044 0,,4989

3,,850 0.,9231 ,0088 1.,0233 0,.4915 0,,5041 0,.4990

3,,875 0,,9263 .0049 1,.0219 0,.4909 0.,5038 0,.4991

3.,900 0,,9268 o'.,9998 1,,0171 0,.4905 0.,5034 0,.4992

3,,925 0.,9387 0.,9962 1,,0175 0,.4902 0,,5031 0,.4993

3,.950 0.,9407 0..9902 1,.0142 0,.4900 0.,5028 0,.4994

3,.975 0,.9492 0,.9834 1,,0115 0,,4899 0,,5024 0,,4995

4,.000 1,.0000 1,.0000 1,.0000 0,,4900 0,,5021 0,.4995

105
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . ^^22/^11== 2 .00 p*= 0.338 x^-O. 7500 ^22 /^r ^• 50

R* Sll ^12 ^22 ^11 ^12 ^22

0.850 .0000 .0000 0.0000 1.0000 1.0000 .0000

0.875 .0001 .0000 0.0000 1.0000 1.0000 .0000

0.900 .0052 .0017 0.0005 1.0000 1.0000 .0000

0.925 .0651 .0295 0.0173 1.0000 1.0000 .0001

0.950 .3350 .2175 0.1732 1.0000 1.0000 .0018

0.975 .9571 .7541 0.7026 1.0000 1.0000 .0102

1.000 1 .8265 1 .5954 1.6033 1.0000 1.0000 .0322

1.025 2 .6397 2 .4505 2.4932 1.0000 1.0000 .0688

1.050 3 .1663 3 .0041 2.9351 1.0000 1.0000 .1124

1.075 3 .3816 3 .1564 2.9405 1.0000 1.0000 .1536

1.100 3 .3433 3 .0407 2.6760 1.0000 1.0000 .1880

1.125 3 .1253 2 .7685 2.2673 1.0000 1.0000 .2140

1.150 2 8408 2 .4246 1.8743 1.0000 1.0000 .2323

1.175 2 5277 2 .0960 1.5306 1.0000 1.0000 .2443

1.200 2 2497 1 .8039 1.2652 1.0000 1.0000 .2513

1.225 1 9791 1 .5510 1.0508 1.0000 0.9999 2545

1.250 1 7701 1 3443 0.8916 1.0000 0.9994 .2546

1.275 1 5700 1 1822 0.7801 1.0000 0.9970 2526

1.300 1 4032 1 0500 0.7085 1.0000 0.9898 .2494

1.325 1 2627 9471 0.6532 1.0000 0.9748 2455

1.350 1 1560 8600 0.6260 1.0000 0.9511 2415

1.375 1 0677 7966 0.6257 0.9999 0.9205 2379

1.400 9787 7578 0.6385 0.9994 0.8876 2348

1.425 9080 7273 0.6794 0.9976 0.8562 2325

1.450 8548 7048 0.7424 0.9929 0.8282 2311

1.475 8157 7027 0.8170 0.9833 0.8047 2307

1.500 7785 7084 0.9056 0.9677 0.7860 2312

1.525 7554 7233 0.9838 0.9460 0.7716 2325

1.550 7270 7528 1.0557 0.9199 0.7610 2345

1.575 7117 7931 1.0702 0.8914 0.7535 2368

1.600 6947 8366 1.0778 0.8629 0.7487 2388

1.625 6947 8793 1.0564 0.8362 0.7460 2405

1.650 6834 9358 1.0276 0.8121 0.7451 2417

1.675 6858 9793 0.9906 0.7910 0.7457 2422

1.700 6928 1 0144 0.9612 0.7730 0.7474 2423

1.725 6941 1 0382 0.9292 0.7580 0.7497 2418

1.750 7035 1 0502 0.9124 0.7457 0.7525 2409

1.775 7198 1 0534 0.9056 0.7357 0.7555 2398

1.800 7367 1 0373 0.9040 0.7278 0.7585 2386

1.825 7589 1 0188 0.9189 0.7217 0.7612 2375

1.850 7816 9914 0.9277 0.7171 0.7637 2366

1.875 8032 9727 0.9517 0.7140 0.7658 2360

1.900 8306 9476 0.9819 0.7119 0.7675 2358

1.925 8571 9291 1.0142 0.7109 0.7686 2360

1.950 8886 9125 1.0562 0.7107 0.7692 2367

1.975 9120 9039 1.0889 0.7113 0.7693 2377

2.000 9338 8926 1.1155 0.7124 0.7688 2390

2.025 9602 8911 1.1330 0.7141 0.7679 2406

2.050 9686 8934 1.1432 0.7161 0.7665 2422

2.075 9825 8964 1.1501 0.7184 0.7649 2438

2.100 9885 9087 1.1423 0.7208 0.7632 2453

2.125 9929 9260 1.1178 0.7233 0.7617 2467

2.150 0. 9886 9336 1.0946 0.7258 0.7603 0. 2478

2.175 0. 9849 9498 1.0592 0.7283 0.7592 0. 2485

2.200 0. 9705 9737 1.0243 0.7307 0.7583 0. 2490

2.225 0. 9536 9929 0.9911 0.7329 0.7579 0. 2492

2.250 0. 9454 1 0138 0.9697 0.7349 0.7577 0. 2491

2.275 0. 9371 1 0358 0.9531 0.7367 0.7578 0. 2488

2.300 0. 9207 1 0596 0.9449 0.7384 0.7582 0. 2485

2.325 0. 9125 1 0789 0.9296 0.7398 0.7589 0. 2481

2.350 0. 9047 1 0980 0.9298 0.7409 0.7596 0. 2477

2.375 0. 8977 1 1140 0.9284 0.7418 0.7605 0. 2472

2.400 0. 8918 1 1196 0.9437 0.7425 0.7614 0. 2469

2.425 0. 8892 1. 1176 0.9559 0.7429 0.7623 0. 2466

2.450 0. 8773 1, 1094 0.9659 0.7431 0.7630 0. 2465

2.475 0. 8833 1. 1004 0.9799 0.7431 0.7636 0. 2465

2.500 0. 8787 1. 0819 0.9856 0.7429 0.7640 0. 2465

2.525 0. 8835 1 0664 0.9972 0.7425 0.7642 0. 2466

-106
.550

.575

.600

.625

.650

.675

.700

2.725

2.750

1.115

2.800

2.825

,850

.875

.900

.925

.950

2.975

3.000

3.025

.050

.075

.100

.125

.150

.175

,200

,225

,250

,275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

000

0.8842

0.8918

0.9017

0.9108

0.9169

0.9221

0.9394

0.9412

0.9555

0.9739

0.9808

1.0005

1.0103

1.0200

1.0361

1.0506

1.0637

1.0762

1.0836

1.0976

1.1095

1.1129

1.1154

1.1184

1.1133

1.1091

1.1056

1.0981

1.0880

1.0723

1.0627

1.0535

1.0369

1.0319

1.0145

1.0097

0.9982

0.9896

0.9830

0.9783

0.9751

0.9698

0.9672

0.9673

0.9678

0.9654

0.9699

0.9706

0.9720

0.9769

0.9792

0.9831

0.9840

0.9881

0.9932

0.9969

1.0002

1.0018

1.0000

1.0480

1.0270

1.0078

0.9936

0.9771

0.9666

0.9566

0.9532

0.9483

0.9450

0.9491

0.9513

0.9613

0.9637

0.9731

0.9807

0.9869

0.9938

,0000

,0053

,0093

,0122

,0139

1.0150

1.0121

1.0149

1.0101

1.0059

1.0007

0.9983

0.9967

0.9943

0.9946

0.9950

0.9939

0.9959

0.9983

0.9978

1.0000

1.0018

1.0041

1.0074

1.0100

1.0097

1.0126

1.0124

1.0138

1.0134

1.0137

1.0135

1.0094

1.0071

1.0043

1.0015

0.9989

0.9956

0.9977

0.9933

1.0000

1.0075

1.0185

1.0183

1.0185

1.0115

1.0065

1.0073

0.9980

0.9974

0.9983

0.9923

1.0004

1.0036

1.0053

1.0091

1.0135

1.0183

1.0199

1.0241

1.0251

1.0287

1.0245

1.0211

1.0187

1.0198

1.0084

1.0088

1.0024

0.9948

0.9960

0.9882

0.9917

0.9892

0.9941

0.9909

1.0000

1.0000

1.0000

,0000

,0000

,0000

,0000

,0000

1.0000

1.0000

1.0000

0000

0000

0000

0000

0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.7421

0.7415

0.7410

. 7404

0.7399

0.7395

0.7392

0.7390

0.7389

0.7390

0.7393

0.7397

0.7402

0.7408

0.7416

0.7424

0.7434

0.7443

0.7454

0.7464

0.7475

0.7486

0.7497

0.7507

0.7516

0.7524

0.7532

0.7539

0.7544

0.7549

0.7552

0.7554

0.7555

0.7555

0.7554

0.7552

0.7549

0.7545

0.7540

0.7535

0.7529

0.7523

0.7516

0.7510

0.7504

0.7499

0.7493

0.7489

0.7485

0.7481

0.7478

0.7476

0.7474

0.7473

0.7473

0.7473

0.7474

0.7475

0.7476

0.7642

0.7639

0.7633

0.7626

0.7617

0.7606

0.7594

0.7582

0.7570

0.7558

0.7547

0.7536

0.7527

0.7520

0.7515

0.7511

0.7509

0.7508

0.7509

0.7511

0.7513

0.7516

0.7519

0.7522

0.7526

0.7529

0.7531

0.7533

0.7534

0.7535

0.7535

0.7535

0.7535

0.7534

0.7533

0.7531

0.7530

0.7528

0.7527

0.7526

0.7525

0.7524

0.7524

0.7524

0.7524

0.7524

0.7524

0.7524

0.7524

0.7524

0.7524

0.7524

0.7523

0.7523

0.7522

0.7521

0.7520

0.7518

0.7517

0.2467

0.2469

0.2471

0.2473

0.2475

0.2476

0.2476

0.2477

0.2476

0.2476

0.2476

0.2476

0.2476

0.2476

0.2477

0.2478

0.2480

0.2481

0.2483

0.2484

0.2486

0.2488

0.2489

0.2490

0.2491

0.2492

0.2493

0.2493

0.2493

0.2493

0.2493

0.2493

0.2492

0.2492

0.2492

0.2492

0.2492

0.2492

0.2493

0.2493

0.2493

0.2493

0.2493

0.2493

0.2493

0.2494

0.2494

0.2494

0.2494

0.2494

0.2494

0.2494

0.2494

0.2495

0.2495

0.2495

0.2495

0.2495

0.2495

107-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=l . Or^Ja.^^' 2.00 p*- 0.508 x,= 0.9005 6^0/^-= 1-50 22^11 22' 11

R* Sll ^12 S22 ^11 ^12 ^22

850 .0000 0.0000 0.0000 1 0000 1 .0000 0.0000

875 0001 0.0000 0.0000 1 0000 1 0000 0.0000

900 0045 0.0013 0.0000 1 0000 1 0000 0.0000

925 0574 0.0265 0.0088 1 0000 1 .0000 0.0000

950 2953 0.1912 0.1077 1 0000 1 0000 0.0004

975 8488 0.6668 0.4724 1 0000 1 0000 0.0025

000 1 6020 1.4006 1.0453 1 0000 1 0000 0.0079

025 2 3253 2.1664 1.7305 1 0000 1 0000 0.0176

050 2 7972 2.6409 2.1098 1 0000 1 0000 0.0305

075 2 9912 2.8123 2.1598 1 0000 1 0000 0.0438

100 2 9492 2.7127 1.9683 1 0000 1 0000 0.0555

125 2 7691 2.4794 1.7617 1 0000 1 0000 0.0650

150 2 5269 2.1890 1.4675 1 0000 1 0000 0.0719

175 2 2707 1.9190 1.2785 1 0000 1 0000 0.0767

200 2 0191 1.6446 1.0796 1 0000 1 0000 0.0796

225 1 7942 1.4429 0.9166 1 0000 1 0000 0.0807

250 1 5994 1.2516 0.8127 1 0000 9999 0.0807

275 1 4264 1.1075 0.7524 1 0000 9993 0.0799

300 1 2918 1.0004 0.6906 1 0000 9975 0.0787

325 1 1697 0.9079 0.6763 1 0000 9938 0.0774

350 1 0769 0.8473 0.6655 1 0000 9878 0.0762

375 9893 0.7926 0.6973 1 0000 9793 0.0753

400 9235 0.7702 0.7522 9998 9695 0.0749

425 8655 0.7447 0.8261 9992 9595 0.0751

450 8261 0.7418 0.9315 9977 9501 0.0758

475 7871 0.7478 1.0289 9945 9419 0.0771

500 7572 0.7718 1.1539 9893 9350 0.0790

525 7356 0.8103 1.2474 9820 9296 0.0813

550 7237 0.8456' 1.2925 9728 9255 0.0838

575 7117 0.9062 1.3099 9625 9224 0.0863

600 7029 0.9711 1.3123 9517 9204 0.0887

625 7059 1.0311 1.2693 9412 9194 0.0908

650 7153 1.0970 1.1894 9314 9192 0.0924

675 7177 1.1488 1.1219 9225 9195 0.0936

700 7329 1.1816 1.0660 9148 9201 0.0943

725 7512 1.2154 1.0216 9083 9210 0.0947

750 7685 1.2101 0.9654 9029 9220 0.0948

775 7961 1.2024 0.9315 8985 9229 0.0946

800 8274 1.1727 0.9150 8951 9238 0.0944

825 8577 1.1359 0.9058 8926 9245 0.0940

850 8835 1.0937 0.9100 8908 9249 0.0938

875 9184 1.0464 0.9267 8897 9251 0.0936

900 9541 1.0082 0.9367 8892 9249 0.0935

925 9838 0.9693 0.9706 8891 9244 0.0936

950 0163 0.9345 0.9969 8894 9236 0.0938

975 0415 0.9129 1.0343 8901 9225 0.0941

2 000 0721 0.8985 1.0596 8910 9210 0.0946

2 025 0928 0.8845 1.0831 8921 9193 0.0952

2 050 1104 0.8785 1.1024 8933 9175 0.0958

2 075 1221 0.8748 1.1046 8946 9156 0.0964

2 100 1294 0.8789 1.0993 8960 9137 0.0969

2 125 1215 0.8874 1.0836 8973 9119 0.0974

2 150 1136 0.9025 1.0601 8985 9102 0.0978

2 175 0973 0.9148 1.0386 8997 9088 0.0980

2 200 0745 0.9340 1.0179 9008 9076 0.0982

2 225 0532 0.9542 1.0012 9017 9067 0.0982

2 250 0332 0.9777 0.9920 9025 9060 0.0982

2 275 0086 0.9951 0.9708 9031 9056 0.0981

2 300 9893 1.0172^ 0.9570 9036 9053 0.0980

2 325 9677 1.0304 0.9552 9039 9052 0.0978

2 350 9521 1.0407 0.9687 9040 9053 0.0977

2 375 9345 1.0490 0.9623 9040 9054 0.0976

2 400 9174 1.0559 0.9883 9039 9056 0.0976

2 425 9076 1.0537 1.0144 9036 9059 0.0976

2 450 8993 1.0476 0.9987 9031 9061 0.0977

2 475 8907 1.0413 1.0025 9026 9063 0.0977

2 500 8869 1.0280 1.0063 9019 9064 0.0978

2 525 8871 1.0176 1.0197 0. 9012 9065 0.0979

108-
550

575

600

625

650

675

700

2.725

2.750

775

800

825

850

875

900

925

950

2.975

,000

,025

,050

,075

,100

,125

150

,175

200

225

250

275

300

325

,350

3.375

3.400

3.425

3.450

.475

.500

.525

.550

3.575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

000

0.8843

0.8828

0.8890

0.8943

0.9018

0.9114

0.9188

0.9305

0.9399

0.9558

0.9668

0.9793

0.9918

.0016

.0150

.0269

.0336

.0471

.0553

1.0609

1.0650

1.0687

1.0673

1.0681

1.0647

1.0612

1.0549

1.0498

1.0436

1.0369

1.0249

1.0175

1.0128

1.0029

0.9986

0.9916

0.9869

0.9816

0.9788

0.9775

0.9769

0.9727

0.9756

0.9779

0.9766

0.9812

0.9830

0.9857

0.9917

0.9958

0.9985

1.0038

1.0070

1.0101

1.0149

1.0160

1.0186

1.0234

1.0000

1.0020

0.9924

0.9819

0.9683

0.9638

0.9595

0.9549

0.9538

0.9566

0.9602

0.9642

0.9714

0.9785

0.9866

0.9941

1.0026

1.0096

1.0138

1.0205

1.0240

,0249

0239

,0242

0224

0200

0162

1.0150

1.0124

1.0041

1.0006

1.0012

0.9939

0.9937

0.9915

0.9916

0.9920

0.9930

0.9895

0.9947

0.9985

0.9990

0007

0049

0036

0081

0097

0095

1.0107

1.0079

1.0061

1.0101

1.0070

1.0034

1.0025

1.0057

1.0008

0.9958

1.0000

1.0000

1.0220

1.0197

1.0096

1.0067

1.0083

1.0033

0.9879

0.9916

0.9929

0.9881

0.9877

0.9871

0.9935

1.0049

1.0030

1.0082

1.0191

1.0000

1.0000

1.0000

1.0000

1.0000

,0000

,0000

,0000

,0000

,0000

0000

,0000

,0000

,0000

,0000

,0000

,0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

,0000

,0000

,0000

,0000

,0000

1.0000

1.0000

1.0000

1.0000

1.0000

1 . 0000

1.0000

1.0000

1.0000

1.0000

1.0000

1 . 0000

1.0000

0.9004

0.8996

0.8987

0.8979

0.8972

0.8965

0.8960

0.8955

0.8951

0.8949

0.8947

0.8947

0.8948

0.8949

0.8952

0.8955

0.8959

0.8963

0.8967

0.8972

0.8977

0.8982

0.8986

0.8991

0.8995

0.8999

0.9003

0.9006

0.9009

0.9012

0.9014

0.9015

0.9016

0.9016

0.9017

0.9016

0.9016

0.9015

0.9014

0.9012

0.9011

0.9009

0.9008

0.9006

0.9005

0.9003

0.9002

0.9001

0.9001

0.9000

0.9000

0.9000

0.9000

0.9000

0.9001

0.9002

0.9003

0.9004

0.9004

0.9065

0.9064

0.9062

0.9060

0.9056

0.9053

0.9048

0.9044

0.9039

0.9035

0.9031

0.9027

0.9024

0.9021

0.9020

0.9019

0.9018

0.9018

0.9018

0.9018

0.9019

0.9020

0.9022

0.9022

0.9023

0.9024

0.9024

0.9024

0.9024

0.9023

0.9023

0.9022

0.9022

0.9021

0.9020

0.9019

0.9018

0.9017

0.9017

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9016

0.9015

0.9015

0.9014

0.9014

0.0980

0.0981

0.0982

0.0983

0.0984

0.0984

0.0984

0.0984

0.0984

0.0984

0.0984

0.0984

0.0984

0.0984

0.0984

0.0984

0.0985

0.0985

0.0986

0.0986

0.0986

0.0986

0.0987

0.0987

0.0987

0.0987

0.0987

0.0988

0.0988

0.0988

0.0988

0.0988

0.0988

0.0989

0.0989

0.0989

0.0989

0.0989

0.0989

0.0989

0.0990

0.0990

0.0990

0.0990

0.0990

0.0990

0.0990

0.0990

0.0990

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

0.0991

109-
^22/^11=^ 2..00 p*= 0.612 x^=0. 9502 e22i/^r 1- 50

R* Hi ^12 §22 ^11 ^12 ^22

0.850 0..0000 .0000 0.0000 1 . 0000 1.0000 0.0000

0.875 0..0002 .0000 0.0000 1.0000 1.0000 0.0000

0.900 0,.0043 .0012 0.0007 1.0000 1.0000 0.0000

0.925 0,.0542 .0249 0.0068 1.0000 1.0000 0.0000

0.950 0,.2792 0,.1761 0.0809 1.0000 1.0000 0.0002

0.975 0,.7913 0,.6089 0.3737 1.0000 1.0000 0.0010

1.000 1,.5135 1 .2909 0.8572 1.0000 1.0000 0.0033

1.025 2,.1823 1,.9752 1.2725 1.0000 1.0000 0.0072

1.050 2..6449 2,.4085 1.5137 1.0000 1.0000 0.0120

1.075 2..8134 2,.5733 1.6458 1.0000 1.0000 0.0172

1.100 2..7839 2,.4836 1.5767 1.0000 1.0000 0.0222

1.125 2,.6130 2 .2940 1.3758 1.0000 1.0000 0.0262

1.150 2,.3865 2,.0149 1.1885 1.0000 1.0000 0.0292

1.175 2,.1467 .7635 1.0259 1.0000 1.0000 0.0313

1.200 1,.9111 .5274 0.8830 1.0000 1.0000 0.0324

1.225 1,.6997 .3334 0.8041 1.0000 1.0000 0.0330

1.250 1..5176 .1629 0.7401 1.0000 1.0000 0.0330

1.275 1,.3608 .0434 0.6937 1.0000 0.9997 0.0328

1.300 1,.2288 o:.9400 0.6483 1.0000 0.9990 0.0324

1.325 1,,1177 0..8649 0.6127 1.0000 0.9975 0.0319

1.350 1,.0218 0,.8020 0.6297 1.0000 0.9949 0.0315

1.375 0,.9529 0,.7668 0.6209 1.0000 0.9917 0.0313

1.400 0,,8895 0,.7418 0.6973 0.9999 0.9880 0.0312

1.425 0.,8411 0,.7340 0.7982 0.9996 0.9841 0.0314

1.450 0,,7989 0..7279 0.8905 0.9989 0.9802 0.0319

1.475 0.,7648 0..7480 1.0550 0.9975 0.9767 0.0328

1.500 0,,7444 0..7758 1.1733 0.9951 0.9738 0.0341

1.525 0,,7229 0..8202 1.2975 0.9917 0.9714 0.0356

1.550 0,,7114 0,.8757 1.3538 0.9874 0.9696 0.0372

1.575 0,,7038 0,.9391 1.3714 0.9826 0.9684 0.0389

1.600 0.,7011 1,.0111 1.3367 0.9775 0.9676 . 0404

1.625 0,,7080 1,,0724 1.2832 0.9724 0.9671 0.0417

1.650 0.,7120 1,.1447 1.2625 0.9677 0.9669 0.0428

1.675 0.,7290 1,.2005 1.1649 0.9634 0.9670 0.0437

1.700 0.,7466 1,.2375 1.0749 0.9596 0.9672 0.0442

1.725 0,,7656 1,.2564 1.0687 0.9564 0.9675 . 0446

1.750 0,,7931 1,.2556 1.0029 0.9537 0.9678 0.0448

1.775 0,,8220 1..2363 0.9798 0.9516 0.9682 0.0449

1.800 0.,8575 1,.2064 0.9409 0.9500 0.9685 0.0450

1.825 0,,8938 1..1734 0.9488 0.9488 0.9687 0,0450

1.850 0,,9290 1,,1166' 0.9645 0.9480 0.9688 0.0450

1.875 0.,9688 1,,0800 0.9800 0.9476 0.9688 0.0451

1.900 1,,0028 1,,0371 1.0207 0.9474 0.9686 0.0453

1.925 1.,0329 0,,9935 1.0761 0.9475 0.9682 0.0456

1.950 1.,0679 0.,9602 1.0706 0.9478 0.9677 0.0459

1.975 1,,0990 0,,9349 1.1561 0.9482 0.9669 0.0463

2.000 1,,1264 0,,9050 1.1625 0.9487 0.9659 0.0468

2.025 1.,1503 0,,8890 1.1639 0.9493 0.9648 0.0473

2.050 1,,1681 0,,8772 1.1494 0.9500 0.9636 0.0478

2.075 1.,1754 0.,8760 1.1596 0.9507 0.9624 0.0482

2.100 1.,1808 0,,8790 1.1268 0.9514 0.9611 0.0485

2.125 1.,1694 0,,8978 1.1177 0.9521 0.9600 0.0489

2.150 1.,1613 0,,9027 1.0678 0.9527 0.9589 0.0491

2.175 1.,1437 0,,9183 1.0350 0.9533 0.9580 0.0492

2.200 1.,1223 0,,9404 1.0234 0.9538 0.9572 0.0493

2.225 1.,0961 0.,9657 1.0137 0.9543 0.9565 0.0493

2.250 1.,0722 0.,9852 0.9622 0.9546 0.9560 0.0493

2.275 1.,0427 1.,0033 0.9512 0.9549 0.9557 0.0492

2.300 1.,0191 1,,0194 0.9505 0.9550 0.9554 0.0491

2.325 0.,9940 1.,0391 0.9458 0.9551 0.9552 0.0490

2.350 0.,9768 1.,0453 0.9796 0.9551 0.9551 0.0490

2.375 0.,9527 1.,0469 0.9321 0.9550 0.9551 0.0489

2.400 0. 9369 1. 0473 0.9537 0.9548 0.9550 0.0488

2.425 0. 9215 1.,0414 0.9826 0.9545 0.9550 0.0488

2.450 0.,9093 1. 0410 0.9973 0.9542 0.9550 0.0488

2.475 0. 8992 1. 0262 0.9838 0.9537 0.9550 0.0489

2.500 0. 8952 1. 0120 0.9965 0.9533 0.9549 0.0489

2.525 0. 8883 1.,0054 0.9996 0.9528 0.9548 0.0489

110
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

1.115

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

,100

,125

,150

,175

,200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

.450

,475

,500

.525

,550

.575

.600

.625

.650

3.675

3.700

3.725

3.750

3.775

800

825

850

875

900

925

950

975

000

0.8884

0.8926

0.8917

0.8983

0.9079

0.9132

0.9243

0.9364

0.9485

0.9611

0.9743

0.9843

0.9961

1.0101

,0183

,0284

,0363

,0450

,0498

.0563

1.0582

1.0582

1.0591

1.0571

1.0531

1.0467

,0439

,0345

0293

0197

0127

0034

0.9990

0.9895

0.9859

0.9820

0.9748

0.9733

0.9719

0.9692

0.9698

0.9709

0.9715

0.9732

0.9740

0.9800

0.9837

0.9871

0.9918

0.9969

1.0010

1.0070

1.0097

1.0128

1.0154

1.0181

1.0215

1.0216

1.0000

0.9900

0.9807

0.9717

0.9626

0.9536

0.9496

0.9431

0.9479

0.9509

0.9560

0.9562

0.9715

0.9725

0.9776

0.9896

0.9977

1.0106

1.0183

1.0184

1.0232

1.0199

1.0167

1.0158

1.0170

,0174

,0123

,0073

0035

0003

0.9961

0.9933

0.9870

0.9863

0.9884

0.9909

0.9875

0.9911

0.9933

0.9943

0.9978

1.0048

1.0052

1.0078

1.0117

1.0150

1.0142

1.0145

1.0136

1.0123

1.0090

1.0076

1.0068

1.0027

1.0023

1.0000

0.9989

0.9966'

0.9969

1.0233

1.0210

0.9976

1.0069

0.9936

0.9752

0.9770

0.9724

0.9765

0.9902

0.9853

0.9913

0.9834

0.9846

0.9884

0.9920

1.0151

1.0214

1.0222

1.0292

1.0407

1.0350

1.0361

1.0315

1.0318

1.0274

1.0195

1.0051

1.0172

1.0281

1.0077

1.0257

1.0234

1.0107

1.0259

1.0130

1.0189

0.9938

1.0114

1.0081

1.0031

1.0076

0.9951

0.9976

0.9934

0.9928

0.9890

0.9815

1.0000

1.0000

1.0000

1.0000

1

.

0000

1 0000

1.0000

1 0000

1 . 0000

1.0000

1.0000

0.9522

0.9517

0.9511

0.9506

0.9501

0.9497

0.9493

0.9490

0.9487

0.9485

0.9484

0.9483

0.9483

0.9483

0.9484

0.9485

0.9487

0.9488

0.9490

0.9492

0.9494

0.9497

0.9499

0.9501

0.9503

0.9505

0.9507

0.9508

0.9509

0.9510

0.9511

0.9511

0.9511

0.9511

0.9511

0.9511

0.9510

0.9509

0.9509

0.9508

0.9507

0.9506

0.9505

0.9504

0.9504

0.9503

0.9502

0.9502

0.9502

0.9502

0.9502

0.9502

0.9502

0.9502

0.9503

0.9503

0.9503

0.9504

0.9505

0.9546

0.9543

0.9541

0.9538

0.9534

0.9531

0.9527

0.9524

0.9520

0.9517

0.9515

0.9512

0.9510

0.9509

0.9508

0.9507

0.9507

0.9507

0.9507

0.9508

0.9508

0.9509

0.9510

0.9510

0.9510

0.9511

0.9512

0.9512

0.9512

0.9512

0.9511

0.9511

0.9511

0.9511

0.9510

0.9510

0.9509

0.9509

0.9509

0.9508

0.9508

0.9509

0.9509

0.9509

0.9509

0.9509

0.9509

0.9510

0.9510

0.9510

0.9510

0.9510

0.9510

0.9510

0.9510

0.9510

0.9509

0.9509

0.9509

0.0490

0.0491

0.0491

0.0491

0.0492

0.0492

0.0491

0.0491

0.0491

0.0491

0.0490

0.0490

0.0490

0.0490

0.0490

0.0490

0.0490

0.0491

0.0491

0.0492

0.0492

0.0493

0.0494

0.0494

0.0494

0.0495

0.0495

0.0495

0.0496

0.0496

0.0496

0.0496

0.0497

0.0497

0.0497

0.0497

0.0497

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0498

0.0498

0.0498

-111
ElADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-2 . a22/all= 2 .00 p*= 0.091 x^-0. 0498 c22/cll- 0. 50

R* Hi §12 §22 ^11 ^12 ^22

0.850 .0000 .0058 0.0397 1.0000 1.0000 .0416

0.875 .0159 .0453 0.1736 1.0000 1.0000 .1824

0.900 .0944 .1897 0.4559 1.0000 1.0000 .4168

0.925 .2946 .4750 0.8387 1.0000 1.0000 .6208

0.950 .6664 .8612 1.2301 1.0000 1.0000 .7487

0.975 1 .1795 1 .2634 1.5373 1.0000 1.0000 .8221

1.000 1 .6566 1 .5761 1.7327 1.0000 1.0000 .8649

1.025 1 .9971 1 .7982 1.8198 1.0000 1.0000 .8910

1.050 2,.2863 1 .9089 1.8297 1.0000 0.9999 .9078

1.075 2 .4414 1 .9338 1.7886 1.0000 0.9995 .9191

1.100 2 .4050 1,.9122 1.7169 1.0000 0.9957 .9270

1.125 2 .4668 1 .8632 1.6291 1.0000 0.9745 0,.9327

1.150 2..3332 1,.7814 1.5367 1.0000 0.9045 .9370

1.175 2,.2362 1,.6950 1.4472 1.0000 0.7633 .9402

1.200 2,.1609 1 .6149 1.3633 1.0000 0.5832 .9426

1.225 2,.1269 1 .5386 1.2845 1.0000 0.4230 0,.9445

1.250 ,8591 1,.4684 1.2141 0.9996 0.3066 .9460

1.275 ,8339 1,.3917 1.1522 0.9966 0.2289 .9471

1.300 ,6952 1,.3283 1.0977 0.9842 0.1779 0,.9480

1.325 ,6595 1,.2672 1.0497 0.9455 0.1439 0,.9487

1.350 ,5462 1,.2123 1.0077 0.8607 0.1206 0,,9492

1.375 ,5135 1,,1696 0.9720 0.7306 0.1042 0,,9496

1.400 ,4359 1,,1249 0.9412 0.5836 0.0922 0,.9499

1.425 ,3954 1,,0885 0.9151 0.4510 0.0834 0.,9500

1.450 ,3089 1,,0519 0.8941 0.3467 0.0766 0.,9501

1.475 ,3248 1,,0233 0.8771 0.2706 0.0714 0,.9501

1.500 ,2825 1,,0026 0.8638 0.2169 0.0673 0,,9500

1.525 ,1885 0,,9769 0.8556 0.1785 0.0640 0,,9499

1.550 ,1896 0,,9567 0.8493 0.1506 0.0613 0,,9497

1.575 ,1395 0,,9378 0.8449 0.1300 0.0592 0,,9495

1.600 ,0892 0,,9197 0.8454 0.1146 0.0574 0,,9493

1.625 ,0987 0.,9083 0.8480 0.1028 0.0559 0.,9491

1.650 .0721 0,,8941 0.8543 0.0937 0.0547 0,,9488

1.675 ,0093 0,,8845 0.8625 0.0863 0.0537 0,,9485

1.700 ,0118 0.,8779 0.8729 0.0804 0.0529 0.,9483

1.725 .0457 0,,8721 0.8859 0.0757 0.0522 0,.9480

1.750 o'..9735 0,,8675 0.9017 0.0718 0.0516 0..9478

1.775 0..9766 0,,8647 0.9188 0.0685 0.0512 0..9476

1.800 0..9813 0,,8618 0.9370 0.0657 0.0508 0..9474

1.825 0..9379 0,,8664 0.9569 0.0634 0.0505 0,.9473

1.850 0..9925 0,,8683 0.9774 0.0614 0.0503 0,.9472

1.875 0,.9123 0,,8698 0.9970 0.0597 0.0501 0..9472

1.900 0..9227 0,,8791 1.0152 0.0582 0.0500 0..9472

1.925 0..9411 0,,8824 1.0322 0.0570 0.0499 0..9473

1.950 0..9569 0,,8854 1.0457 0.0559 0.0499 0..9474

1.975 0..8967 0,,8947 1.0574 0.0550 0.0499 0.,9476

2.000 0,.9114 0,,9022 1.0657 0.0542 0.0500 0..9477

2.025 0..8695 0,,9147 1.0708 0.0534 0.0501 0..9479

2.050 0,.8919 0,,9247 1.0729 0.0528 0.0502 0..9481

2.075 0,.8984 0,,9346 1.0736 0.0522 0.0503 0. 9483

2.100 0,.8661 0,,9468 1.0702 0.0517 0.0505 0. 9485

2.125 0..8908 0,,9565 1.0664 0.0513 0.0506 0. 9486

2.150 0,.8597 0.,9693 1.0602 0.0509 0.0508 0. 9488

2.175 0,.8897 0,,9850 1.0541 0.0506 0.0510 0. 9490

2.200 0,.8800 0,,9980 1.0457 0.0503 0.0512 0. 9491

2.225 0,.8838 ,0098 1.0389 0.0501 0.0514 0. 9492

2.250 0,.8262 ,0218 1.0299 0.0499 0.0516 0. 9494

2.275 0,.8814 ,0317 1.0219 0.0497 0.0518 0. 9495

2.300 0..8735 ,0357 1.0143 0.0495 0.0520 0. 9495

2.325 0,.8683 ,0428 1.0072 0.0494 0.0522 0. 9496

2.350 0..8631 ,0513 1.0006 0.0493 0.0523 0. 9497

2.375 0,.8497 ,0552 0.9947 0.0492 0.0525 0. 9497

2.400 0..8384 ,0591 0.9898 0.0491 0.0526 0. 9497

2.425 0..8635 ,0579 0.9853 0.0490 0.0527 0. 9498

2.450 0..8616 ,0593 0.9808 0.0490 0.0527 0. 9498

2.475 0..8712 .0617 0.9787 0.0490 0.0528 0. 9498

2.500 0..8803 .0554 0.9762 0.0490 0.0528 0. 9498

2.525 0..8788 .0561 0.9743 0.0490 0.0528 0. 9498

-112
2.550

2.575

2.600

2.625

2.650

.675

,700

,725

,750

2.775

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

,250

.275

.300

.325

.350

,375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.8635

0.8864

0.8826

0.9047

0.9219

0.9492

0.9369

0.9158

0.9468

0.9516

0.9564

0.9839

0.9897

0.9757

1.0089

1.0259

1.0224

1.0436

1.0162

1.0310

1.0374

1.0382

1.0532

1.0724

.0284

.0447

.0734

,0677

,0672

1 . 0449

1.0643

1.0490

1.0633

1.0518

1.0482

1.0394

1.0571

1.0296

1 . 0414

1.0338

1.0291

1.0200

1.0244

1.0352

1.0254

1.0331

1.0083

1.0346

1.0087

1.0025

0.9843

0.9879

0.9903

0.9947

0.9865

0.9863

0.9906

0.9950

1.0000

1.0501

1.0454

1.0409

1.0375

1.0323

1.0275

1.0254

1.0204

1.0137

1.0076

1.0054

0.9989

0.9991

0.9946

0.9910

0.9892

0.9846

0.9836

0.9825

0.9788

0.9804

0.9805

0.9789

0.9789

0.9800

0.9806

0.9811

0.9825

0.9844

0.9852

0.9856

0.9878

0.9910

0.9915

0.9944

0.9963

0.9988

1.0009

1.0022

1.0016

1.0034

1.0058

1.0049

1.0065

1.0073

1.0084

1.0070

1.0088

1.0059

1.0073

1.0087

1.0062

0.9735

0.9736

0.9745

0.9760

0.9787

0.9806

0.9836

0.9857

0.9887

0.9918

0.9948

0.9981

1.0007

1.0040

1.0053

1.0080

1.0098

1.0111

1.0114

0084

0068

0079

0055

0050

0077

0000

,0120

0120

,0114

0112

,0105

0091

0080

0069

1.0057

1.0045

1.0032

1.0023

1.0011

0.9996

0.9987

0.9978

0.9975

0.9963

0.9959

0.9960

0.9955

0.9955

0.9958

0.9960

0.9964

0.9968

0.9973

0.9977

0.9981

0.9992

0.9993

0.9997

1.0006

1.0009

1.0012

1.0019

1.0019

1.0022

1.0023

1.0000

0.0490

0.0490

0.0490

0.0491

0.0492

0.0493

0.0494

0.0495

0.0496

0.0497

0.0498

0.0499

0.0501

0.0502

0.0503

0.0505

0.0506

0.0508

0.0509

0.0510

0.0511

0.0512

0.0514

0.0515

0.0516

0.0516

0.0517

0.0518

0.0518

0.0519

0.0519

0.0519

0.0519

0.0519

0.0519

0.0518

0.0518

0.0518

0.0517

0.0516

0.0516

0.0515

0.0514

0.0514

0.0513

0.0513

0.0512

0.0511

0.0511

0.0510

0.0509

0.0508

0.0507

0.0507

0.0506

0.0505

0.0505

0.0504

0.0504

0.0527

0.0527

0.0526

0.0525

0.0524

0.0522

0.0521

0.0520

0.0518

0.0517

0.0515

0.0514

0.0513

0.0511

0.0510

0.0509

0.0508

0.0507

0.0506

0.0506

0.0505

0.0504

0.0504

0.0503

0.0503

0.0503

0.0503

0.0502

0.0502

0.0502

0.0502

0.0502

0.0502

0.0502

0.0502

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0504

0.0504

0.0504

0.0504

. 0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0503

0.0503

0.0503

0.0503

0.9498

0.9497

0.9497

0.9497

0.9497

0.9497

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9497

0.9497

0.9497

0.9497

0.9498

0.9498

0.9498

0.9498

0.9498

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

113
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-2 . all/aW= 2.00 p*= 0.095 x^- 0.0999 e22/ell=. 0.50

R* Sll ^12 §22 ^11 ^12 ^22

.850 .0010 .0050 .0388 1 .0000 1 .0000 .0196

.875 .0083 .0435 .1721 1 .0000 1 .0000 .0950

.900 .0787 .1852 .4503 1 .0000 1 .0000 .2515

.925 3031 .4663 .8342 1 .0000 1 .0000 .4356

.950 6533 .8555 1 .2192 1 .0000 1 .0000 .5845

.975 1 2076 1 .2407 1 .5268 1 .0000 1 .0000 .6857

.000 1 6653 1 .5639 1 .7180 1 .0000 1 .0000 .7513

.025 2 0909 1 .7733 1 .8109 1 .0000 1 .0000 .7941

.050 2 3499 1 8889 1 .8211 1 .0000 1 .0000 .8229

075 2 4817 1 9180 1 7813 1 .0000 9998 .8428

100 2 4914 1 9033 1 7077 1 0000 .9980 .8571

125 2 5235 1 8484 1 6195 1 .0000 9882 .8675

150 2 3137 1 7718 1 5299 1 0000 9530 8753

175 2 2815 1 6982 1 4391 1 0000 8726 8811

200 2 2007 1 6105 1 3582 1 0000 7485 8857

225 2 0363 1 5290 1 2816 1 0000 6088 .8892

250 1 9334 1 4528 1 2130 9998 4837 8919

275 1 8387 1 3853 1 1522 9987 3861 8941

300 1 7846 1 3176 1 0989 9932 3143 8958

325 1 6909 1 2648 1 0514 9752 2625 8970

350 1 5771 1 2105 1 0098 9322 2251 8980

375 1 5282 1 1694 9738 8571 1976 8987

400 1 5052 1 1202 9447 7552 1771 8992

425 1 3872 1 0895 9190 6426 1615 8995

450 1 3283 1 0538 8996 5368 1495 8996

475 1 3149 1 0223 8837 4475 1400 8997

500 1 2765 9994 8703 3763 1325 8996

525 1 2612 9774 8607 3211 1265 8994

550 1 1507 9564 8554 2784 1216 8991

575 1 1447 9445 8521 2453 1176 8988

600 1 1593 9272 8523 2197 1143 8984

625 1 1191 9155 8548 1996 1116 8980

650 1 1044 9023 8590 1835 1094 8975

675 1 0942 8916 8676 1706 1075 8971

700 1 0740 8839 8772 1601 1059 8966

725 1 0434 8787 8903 1514 1046 8961

750 1 0140 8755 9062 1441 1036 8957

775 9825 8736 9206 1379 1027 8954

800 9681 8701 9390 1327 1020 8951

825 9983 8741 9576 1283 1014 8948

850 9854 8748 9761 1246 1010 8947

875 9792 8778 9958 1214 1007 8947

900 9692 8825 1 0134 1187 1005 8947

925 9554 8850 1 0304 1163 1004 8949

950 9423 8896 1 0440 1143 1003 8950

975 9551 8983 1 0541 1125 1003 8953

2 000 9532 9045 1 0619 1110 1004 8956

2 025 9277 9139 1 0680 1096 1006 8959

2 050 9435 9251 1 0684 1084 1007 8962

2 075 9108 9342 1 0694 1073 1010 8966

2 100 9111 9421 1 0673 1064 0. 1012 0. 8969

2 125 8923 9564 1 0629 1056 0. 1015 0. 8972

2 150 9024 9706 1 0574 1048 0. 1018 0. 8975

2 175 8952 9795 1 0513 1042 0. 1021 0. 8978

2 200 8750 9926 1 0450 1036 0. 1025 0. 8981

2 225 8696 1 0029 1 0372 1030 0. 1028 0. 8983

2 250 8836 1 0155 1 0286 1026 0. 1032 0. 8985

2 275 8977 1 0269 1 0211 1022 0. 1035 0. 8987

2 300 8963 1 0370 1 0144 1019 0. 1039 0. 8989

2 325 8713 1 0414 1 0078 0. 1016 0. 1042 0. 8990

2 350 9021 1 0470 1. 0017 0. 1014 0. 1045 0. 8991

2 375 8957 1 0535 0. 9963 0. 1012 0. 1047 0. 8992

2 400 8931 1 0558 9918 0. 1011 0. 1049 0. 8992

2 425 8934 1 0611 0. 9862 0. 1010 0. 1051 0. 8993

2 450 8875 1 0567 0. 9827 0. 1009 0. 1052 0. 8993

2 475 8937 1 0565 0. 9802 0, 1008 0. 1053 0. 8993

2 500 9066 1 0533 0. 9785 0. 1008 0. 1053 0. 8993

2 525 9082 1 0532 0. 9761 0. 1008 0. 1053 0. 8993

114-
2.550

2.575

2.600

2.625

2.650

2.675

700

725

750

775

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

150

175

200

225

250

275

300

325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

0.9216

0.9056

0.9310

0.9222

0.9489

0.9339

0.9288

0.9673

0.9715

0.9794

0.9761

1.0019

,0060

,0288

,0135

,0431

,0405

,0411

,0580

,0519

0406

0467

0499

0662

0727

1.0599

1.0798

1.0716

1.0878

,0811

,0707

,0640

0621

,0531

1.0570

1.0460

1.0497

1.0439

1.0375

1.0492

1.0243

0358

0274

0272

0272

0151

0138

0108

0289

0139

0198

0.9977

1.0074

0112

0036

0089

0089

0058

4.000 1.0000

1.0488

1.0471

1.0414

1.0335

1.0304

1.0294

1.0228

1.0216

1.0138

1.0101

1.0056

1.0035

1.0005

0.9932

0.9930

0.9902

0.9876

0.9831

0.9822

0.9829

0.9813

0.9808

0.9809

0.9818

0.9814

0.9816

0.9814

0.9832

0.9853

0.9872

0.9870

0.9872

0.9903

0.9931

0.9955

0.9956

0.9971

0.9985

0.9991

1.0002

1.0007

1.0041

1.0060

1.0060

1.0084

1.0086

1.0082

1.0085

1.0088

1.0077

1.0070

1.0085

1.0079

1.0068

1.0059

1.0045

1.0051

1.0050

1.0000

0.9768

0.9765

0.9773

0.9785

0.9797

0.9817

0.9839

0.9863

0.9901

0.9923

0.9946

0.9984

,0009

,0029

,0050

,0068

,0089

,0101

,0106

,0110

1.0115

1.0110

1.0103

1.0107

1.0089

1.0081

1.0067

1.0055

1.0050

1.0034

1.0018

1.0005

1.0003

0.9993

0.9984

0.9983

0.9979

0.9973

0.9967

0.9958

0.9963

0.9968

0.9967

0.9966

0.9972

0.9976

0.9979

0.9983

0.9990

0.9993

1.0002

1.0006

1.0013

1.0017

1.0015

1.0019

1.0028

1.0027

1.0000

0.1009

0.1009

0.1010

0.1011

0.1012

0.1014

0.1015

0.1016

0.1018

0.1020

0.1022

0.1024

0.1027

0.1029

0.1032

0.1034

0.1037

0.1039

0.1042

. 1044

0.1046

0.1047

0.1049

0.1051

0.1052

0.1054

0.1055

0.1056

0.1057

0.1058

0.1058

0.1058

0.1058

0.1058

0.1057

0.1056

0.1055

0.1054

0.1053

0.1051

0.1050

0.1048

0.1047

0.1045

0.1044

0.1042

0.1040

0.1038

0.1037

0.1036

0.1034

0.1033

0.1031

0.1030

0.1029

0.1028

0.1027

0.1026

0.1025

0.1052

0.1051

0.1050

0.1048

0.1046

0.1043

0.1041

0.1038

0.1036

0.1033

0.1031

0.1028

0.1026

0.1024

0.1022

0.1020

0.1018

0.1016

0.1015

0.1013

0.1012

0.1011

0.1010

0.1009

0.1009

0.1008

0.1008

0.1007

0.1007

0.1007

0.1007

0.1007

0.1007

0.1007

0.1007

0.1007

0.1007

0.1008

0.1008

0.1008

0.1008

0.1008

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1008

0.1008

0.1008

0.1008

0.8993

0.8993

0.8992

0.8992

0.8992

0.8992

0.8991

0.8991

0.8991

0.8991

0.8991

0.8991

0.8991

0.8991

0.8991

0.8991

0.8992

0.8992

0.8992

0.8993

0.8993

0.8994

0.8994

0.8995

0.8995

0.8995

0.8996

0.8996

0.8996

0.8996

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

115
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.107 X-- 0.2500 €22/ell- 0.50

R* Hi §12 §22 ^11 =^12 ^22

0. 850 0.0000 0.0055 0.0382 1.0000 1. 0000 0. 0066

0. 875 0.0109 0.0435 0.1672 1.0000 1. 0000 0. 0336

0. 900 0.0664 0.1801 0.4353 1.0000 1. 0000 0. 0994

0. 925 0.2745 0.4552 0.8126 1.0000 1. 0000 0. 2022

0. 950 0.6326 0.8280 1.1863 1.0000 1. 0000 0. 3161

0. 975 1.1377 1.2181 1.4862 1.0000 1. 0000 0. 4175

1. 000 1.6167 1.5278 1.6717 1.0000 1. 0000 0. 4979

1. 025 2.0456 1.7460 1.7651 1.0000 1. 0000 0. 5586

1. 050 2.2751 1.8592 1.7765 1.0000 1. 0000 0. 6037

1. 075 2.3729 1.8853 1.7419 1.0000 1. 0000 0. 6374

1. 100 2.3752 1.8708 1.6715 1.0000 0.,9994 0. 6627

1.,125 2.3507 1.8141 1.5886 1.0000 0.,9961 0. 6819

1.,150 2.2766 1.7484 1.5005 1.0000 0,,9839 0.,6967

1.,175 2.1667 1.6675 1.4205 1.0000 0,,9540 0. 7082

1.,200 2.0861 1.5924 1.3416 1.0000 0, 9006 0. 7172

1.,225 1.9665 1.5152 1.2689 1.0000 0.,8257 0. 7243

1.,250 1.8887 1.4414 1.2043 0.9999 0,,7403 0.,7298

1.,275 1.8070 1.3776 1.1458 0.9995 0.,6568 0.,7342

1.,300 1.7258 1.3109 1.0976 0.9975 0.,5825 0.,7376

1.,325 1.6237 1.2569 1.0515 0.9912 0.,5202 0.,7403

1.,350 1.5974 1.2063 1.0147 0.9759 0.,4696 0.,7424

1.,375 1.5020 1.1651 0.9817 0.9467 0,,4288 0.,7439

1,,400 1.4547 1.1276 0.9573 0.9017 0,,3963 0.,7450

1.,425 1.3746 1.0893 0.9357 0.8429 0,,3701 0.,7458

1..450 1.3194 1.0572 0.9162 0.7759 0,,3490 0,,7463

1,,475 1.3052 1.0360 0.9017 0.7075 0,,3320 0,,7465

1,,500 1.2382 1.0058 0.8916 0.6430 0,,3181 0,,7466

1,,525 1.2046 0.9849 0.8847 0.5851 0,,3066 0.,7464

1,,550 1.1626 0.9688 0.8801 0.5348 0.,2972 0,,7461

1,,575 1.1528 0.9491 0.8750 0.4920 0..2894 0,,7457

1,.600 1.1359 0.9385 0.8718 0.4563 0,.2828 0,.7452

1,.625 1.0962 0.9267 0.8778 0.4263 0,,2774 0,,7445

1..650 1.0757 0.9159 0.8796 0.4011 0,.2728 0,.7438

1,.675 1.0620 0.9083 0.8859 0.3800 0,.2690 0.,7431

1..700 1.0368 0.9061 0.8928 0.3621 0..2658 0,.7424

1,.725 1.0425 0.9002 0.9049 0.3470 0..2632 0,,7417

1,.750 1.0134 0.8928 0.9147 0.3342 0,.2609 0.,7410

1 .775 1.0214 0.8908 0.9288 0.3232 0,.2591 0.,7404

I..800 0.9792 0.8873 0.9428 0.3138 0,.2576 0..7399

1 .825 0.9773 0.8901 0.9600 0.3055 0,.2564 0,.7396

1 .850 0.9453 0.8913 0.9768 0.2983 0,.2555 0..7394

1 .875 0.9510 0.8928 0.9906 0.2920 0,.2548 0,.7393

1 .900 0.9518 0.8945 1.0056 0.2866 .2542 0,.7394

1 .925 0.9434 0.8979 1.0213 0.2819 .2538 0,.7396

1 .950 0.9326 0.9003 1.0322 0.2778 .2536 0,.7399

1 .975 0.9166 0.9076 1.0427 0.2741 .2534 0..7404

2 .000 0.9146 0.9165 1.0496 0.2709 .2534 0,.7409

2 .025 0.9083 0.9214 1.0539 0.2680 .2535 0,.7414

2 .050 0.9080 0.9267 1.0569 0.2655 .2537 0,.7420

2 .075 0.9089 0.9366 1.0570 0.2633 .2539 0,.7427

2 .100 0.9128 0.9500 1.0558 0.2614 .2543 0,.7433

2 .125 0.9102 0.9583 1.0524 0.2598 .2547 0,.7438

2 .150 0.9015 0.9677 1.0489 0.2583 .2552 0,.7444

2 .175 0.9122 0.9772 1.0435 0.2571 .2556 0,.7449

2 .200 0.9070 0.9891 1.0365 0.2560 .2562 0,.7454

2 .225 0.8999 0.9979 1.0322 0.2550 .2567 0,.7458

2 .250 0.9057 1.0094 1.0252 0.2542 .2573 .7462

2 .275 0.9005 1.0168 1.0199 0.2535 .2578 0,.7466

2 .300 0.9124 1.0249 1.0140 0.2530 .2583 0,.7468

2 .325 0.9038 1.0324 1.0078 0.2525 .2588 0,.7471

2 .350 0.8999 1.0399 1.0036 0.2521 .2593 0,.7473

2 .375 0.9098 1.0425 0.9990 0.2518 .2597 0,.7475

2 .400 0.8992 1.0460 0.9950 0.2515 .2601 .7476

2 .425 0.9045 1.0495 0.9916 0.2513 .2604 0,.7477

2 .450 0.9137 1.0475 0.9889 0.2512 .2606 0,.7478

2 .475 0.9070 1.0492 0.9854 0.2511 .2607 0,.7478

2 .500 0.9108 1.0496 0.9848 0.2510 .2607 0,.7479

2 .525 0.9163 1.0447 0.9831 0.2510 .2607 0,.7479

-116-
,550

,575

,600

,625

650

675

700

725

750

775

800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

,100

,125

,150

,175

,200

,225

,250

.275

.300

.325

.350

.375

.400

.425

,450

,475

,500

,525

,550

,575

600

3.625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

000

0.9228

0.9238

0.9341

0.9429

0.9426

0.9518

0.9610

0.9733

0.9681

0.9744

0.9773

0.9911

1.0103

1.0014

1.0046

1.0147

1.0154

1.0293

1.0270

1.0323

1.0319

1.0430

1.0503

1.0427

1.0488

1 . 0443

1.0427

1.0537

1.0478

1.0545

1.0493

1.0467

1.0512

1.0394

1 . 0440

1.0458

1.0332

1.0364

1.0326

1.0328

1.0250

1.0330

1.0288

1.0253

1.0252

1.0236

1.0222

1.0195

1.0100

1.0141

1.0072

1.0056

1.0006

0.9991

0.9945

0.9987

0.9879

0.9973

1.0000

1.0409

1.0407

1.0363

1.0334

1.0270

1.0272

1.0204

1.0172

1.0120

1.0089

1.0062

1 . 0040

1.0016

0.9985

0.9964

0.9929

0.9898

0.9905

0.9895

0.9884

0.9883

0.9869

0.9872

0.9863

0.9869

0.9872

0.9884

0.9876

0.9877

0.9900

0.9894

0.9911

0.9941

0.9918-

0.9960

0.9965

0.9945

0.9977

0.9999

0.9996

0.9999

1.0009

1.0015

1.0036

1.0042

1.0032

1.0074

1.0065

1.0052

1.0060

1.0056

1.0038

1.0070

1.0052

1.0059

1.0047

1.0045

1.0043

1.0000

0.9843

0.9837

0.9847

0.9846

0.9875

0.9863

0.9886

0.9899

0.9928

0.9945

0.9969

0.9981

,0013

,0026

,0046

,0049

,0072

1.0080

1.0083

1.0091

1.0092

1.0082

1.0080

1.0082

1.0073

1.0060

0052

0046

,0043

0023

0017

0020

0015

0004

0.9987

0.9990

0.9995

0.9985

0.9990

0.9979

0.9986

0.9981

0.9987

0.9989

1.0000

1.0000

0.9999

0011

0011

0004

,0013

,0023

1.0023

1.0024

1.0020

1.0015

1.0028

1.0032

1.0000

0.2511

0.2511

0.2513

0.2515

0.2517

0.2519

0.2522

0.2526

0.2529

0.2533

0.2536

0.2540

0.2544

0.2549

0.2553

0.2557

0.2561

0.2565

0.2569

0.2572

0.2576

0.2579

0.2583

0.2586

0.2588

0.2590

0.2592

0.2594

0.2595

0.2596

0.2597

0.2597

0.2597

0.2596

0.2595

0.2594

0.2593

0.2591

0.2589

0.2587

0.2585

0.2582

0.2580

0.2577

0.2575

0.2572

0.2570

0.2567

0.2565

0.2562

0.2559

0.2557

0.2554

0.2552

0.2549

0.2547

0.2545

0.2543

0.2541

0.2605

0.2603

0.2601

0.2597

0.2594

0.2590

0.2586

0.2581

0.2577

0.2572

0.2567

0.2563

0.2559

0.2555

0.2551

0.2547

0.2544

0.2541

0.2538

0.2535

0.2533

0.2531

0.2529

0.2527

0.2526

0.2525

0.2524

0.2523

0.2522

0.2522

0.2522

0.2521

0.2521

0.2521

0.2521

0.2521

0.2521

0.2521

0.2521

0.2521

0.2521

0.2522

0.2522

0.2522

0.2522

0.2522

0.2522

0.2522

0.2522

0.2522

0.2521

0.2521

0.2521

0.2520

0.2520

0.2520

0.2519

0.2519

0.2518

0.7479

0.7479

0.7479

0.7479

0.7479

0.7479

0.7478

0.7478

0.7478

0.7478

0.7478

0.7478

0.7479

0.7479

0.7480

0.7480

0.7481

0.7481

0.7482

0.7483

0.7484

0.7484

0.7485

0.7486

0.7487

0.7487

0.7488

0.7488

0.7489

0.7489

0.7489

0.7490

0.7490

0.7490

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7492

0.7492

0.7492

0.7492

0.7492

0.7492

0.7492

0.7493

0.7493

0.7493

0.7493

0.7493

0.7494

0.7494

0.7494

0.7494

0.7494

0.7495

-117
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . or22/all= 2.00 0.137 x^- 0.5000 €22/ell- 0.50

R* Sll ^12 ^22 ^11 ^12 ^22

.850 .0004 .0051 0.0354 1 .0000 1 .0000 0.0022

.875 .0103 .0425 0.1540 1 .0000 1 .0000 0.0111

.900 .0697 .1683 0.4052 1 .0000 1 .0000 0.0346

.925 .2546 .4288 0.7519 1 .0000 1 .0000 0.0759

.950 .5998 .7836 1.0986 1 .0000 1 .0000 0.1300

.975 1 .0488 1 .1474 1.3840 1 .0000 1 .0000 0.1880

1 .000 1 .4961 1 .4500 1.5676 1 .0000 1 .0000 0.2427

1,.025 1 .8422 1 .6510 1.6648 1 .0000 1 .0000 0.2905

1,.050 2 .0604 1 .7587 1.6786 1 .0000 1 .0000 0.3303

1,.075 2 .1856 1 .7968 1.6525 1 .0000 1 .0000 0.3628

1,.100 2 .2060 1 .7812 1.5954 1 .0000 .9998 0.3890

1 .125 2 .1771 1 .7360 1.5229 1 .0000 .9987 0.4099

1,.150 2 .1003 1 .6688 1.4439 1 .0000 .9947 0.4267

1,.175 2 .0402 1 .6055 1.3712 1 .0000 .9846 0.4401

1,.200 1 .9326 1 .5324 1.2989 1 .0000 .9654 0.4508

1,.225 1 .8339 1 .4621 1.2359 1 .0000 .9359 0.4592

1,.250 1 .7584 1,.3935 1.1827 1 .0000 .8981 0.4661

1,.275 1 .6781 1 .3374 1.1294 .9998 .8556 0.4714

1.,300 1,.5919 1,.2819 1.0860 0,.9991 .8120 0.4756

1..325 1 .5281 1,.2323 1.0474 0,.9969 .7704 0.4789

1,.350 1,.4644 1,.1857 1.0136 0,.9916 .7325 0.4815

1,.375 1,.4070 1,.1486 0.9897 0,.9813 .6988 0.4835

1..400 1,.3449 1,.1146 0.9758 0,.9643 .6697 0.4851

1,.425 1,.3051 1,.0801 0.9624 0,.9405 .6447 0.4864

1,.450 1,.2620 1,.0549 0.9449 0.,9109 .6234 0.4874

1,.475 1,,2269 1,.0322 0.9401 0,.8772 .6053 0.4881

1,.500 1,.1955 1..0132 0.9335 .8418 0,.5901 0.4887

1,,525 1,,1633 0,,9957 0.9288 0,,8066 .5772 0.4891

1.,550 1..1381 0.,9836 0.9262 0.,7730 0,.5663 0.4894

1,,575 1..1097 0,.9693 0.9220 0,,7419 0,,5570 0.4895

1.,600 1,,0843 0.,9645 0.9212 0,,7136 0..5492 0.4895

1.,625 1.,0593 0,,9554 0.9209 0,,6881 0,.5427 0.4895

1,,650 1.,0513 0,,9482 0.9190 0,,6656 0,.5372 0.4893

1.,675 1.,0374 0,,9462 0.9231 0,,6457 0,.5325 0.4890

1.,700 1.,0178 0,,9440 0.9286 0,,6281 0,,5286 0.4886

1.,725 1,,0046 0,,9396 0.9329 0,,6127 0,,5253 0.4883

1.,750 0.,9952 0..9372 0.9390 0,,5992 0,,5226 0.4880

1.,775 0,,9848 0.,9352 0.9441 0,,5872 0,,5204 0.4876

1.,800 0.,9733 0,,9329 0.9526 0,,5767 0,,5185 0.4873

1.,825 0,,9694 0,,9310 0.9620 0,,5674 0,,5170 0.4871

1,,850 0,,9682 0,,9279 0.9737 0.,5593 0,,5157 0.4871

1.,875 0,,9589 0,,9292 0.9866 0,,5522 0.,5146 0.4871

1.,900 0.,9569 0,,9287 0.9974 0,,5460 0,,5136 0.4873

1.,925 0,,9478 0,,9319 1.0058 0..5404 0.,5128 0.4875

1,,950 0,,9514 0,,9324 1.0163 0..5355 0.,5122 0.4879

1,,975 0.,9458 0.,9332 1.0237 0..5313 0.,5117 0.4884

2,,000 0,,9405 0,,9376 1.0320 0..5275 0.,5113 0.4890

2,,025 0,,9395 0,,9421 1.0347 0..5241 0.,5110 0.4896

2,,050 0.,9381 0,,9463 1.0356 0..5212 0.,5107 0.4902

2,,075 0,,9381 0.,9513 1.0368 0,.5187 0..5105 0.4908

2,,100 0,,9359 0,,9566 1.0341 0..5164 0..5105 0.4914

2,,125 0.,9343 0.,9624 1.0349 0..5144 0..5105 0.4920

2,,150 0.,9366 0.,9673 1,0321 0..5128 0..5105 0.4926

2,,175 0.,9318 0,,9736 1.0272 0..5113 0. 5106 0.4931

2.,200 0,,9316 0,,9824 1.0244 0. 5100 0. 5107 0.4936

2.,225 0.,9285 0.,9906 1.0198 0. 5088 0. 5110 0.4940

2.,250 0.,9302 0.,9970 1.0163 0. 5078 0. 5112 0.4944

2.,275 0.,9289 1.,0016 1.0150 0. 5070 0. 5114 0.4947

2.,300 0,,9243 1.,0089 1.0099 0. 5062 0. 5117 0.4950

2.,325 0,,9285 1..0144 1.0083 0. 5056 0. 5120 0.4953

2.,350 0,,9309 1..0195 1.0062 0. 5050 0. 5122 0.4956

2.,375 0,,9251 1.,0210 1.0027 0. 5046 0. 5124 0.4958

2.,400 0,,9337 1..0258 0.9997 0. 5042 0. 5127 0.4960

2.,425 0,,9330 1. 0261 0.9972 0. 5038 0. 5128 0.4961

2.,450 0,,9307 1..0291 0.9972 0. 5035 0. 5129 0.4963

2.,475 0,,9330 1..0268- 0.9952 0. 5033 0. 5129 0.4964

2.,500 0.,9337 1..0266 0.9935 0. 5031 0. 5129 0.4965

2.,525 0.,9403 1..0279 0.9944 0. 5030 0. 5128 0.4966

-118-
2.550

2.575

2.600

2.625

2.650

2.675

700

725

750

775

800

825

850

875

900

925

950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

250

275

300

325

350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

800

,825

,850

,875

,900

,925

,950

975

0.9439

0,9460

. 9440

0.9494

0.9534

0.9516

0.9580

0.9633

0.9682

0.9710

0.9765

0.9838

0.9857

0.9877

0.9934

0.9956

1.0005

1

.

0044

1.0107

1.0132

1.0147

1.0193

1.0220

1.0226

1.0221

1.0242

1.0277

1.0253

0300

0245

,0279

,0250

0261

1.0255

1.0233

1.0217

1.0244

1.0194

1.0229

1.0215

4.000

0183

0149

0153

0150

0131

0103

,0098

0077

0081

,0075

,0053

,0056

1.0041

1.0014

0.9993

0.9982

0.9981

1.0008

1.0000

,0266

,0241

,0208

,0180

,0166

,0134

,0142

0117

,0097

1.0070

1.0035

1.0036

1.0021

1.0000

1.0001

0.9983

0.9972

0.9971

0.9965

0.9948

0.9949

0.9952

0.9940

0.9940

0.9942

0.9939

0.9933

0.9934

0.9932

0.9935

0.9944

0.9963

0.9950

0.9969

0.9965

0.9961

0.9981

0.9985

0.9998

0.9991

1.0004

1.0012

1.0020

1.0027

0026

0035

0042

0044

0028

0026

1.0028

1.0027

1.0030

1.0030

1.0033

1.0022

1.0027

1.0034

1.0000

0.9950

0.9945

0.9943

0.9935

0.9934

0.9945

0.9950

0.9960

0.9961

0.9981

0.9984

0.9974

0.9998

1.0020

1.0011

1.0018

1.0015

1.0048

1.0040

1.0037

0056

0060

0060

0049

0044

0044

0034

0029

0038

1.0019

.0015

1.0029

1.0030

1.0021

1.0022

1.0030

1.0021

1.0019

1.0014

1.0001

1.0008

1.0011

1.0009

1.0020

.0024

.0015

.0015

.0010

.0013

.0018

1.0009

1.0013

1.0014

1.0014

1.0009

1.0026

1.0022

1.0015

1.0000

0.5029

0.5028

0.5028

0.5027

0.5028

0.5028

0.5029

0.5030

0.5032

0.5034

0.5036

0.5038

0.5041

0.5044

0.5047

0.5049

0.5052

0.5055

0.5059

0.5062

0.5065

0.5068

0.5070

0.5073

0.5075

0.5077

0.5079

0.5081

0.5082

0.5084

0.5084

0.5085

0.5085

0.5085

0.5084

0.5083

0.5083

0.5081

0.5080

0.5078

0.5077

0.5075

0.5073

0.5071

0.5069

0.5066

0.5064

0.5062

0.5060

0.5057

0.5055

0.5053

0.5051

0.5049

0.5047

0.5045

0.5043

0.5042

0.5040

0.5126

0.5124

0.5121

0.5117

0.5113

0.5109

0.5104

0.5100

0.5095

0.5090

0.5086

0.5081

0.5077

0.5073

0.5069

0.5066

0.5062

0.5059

0.5056

0.5054

0.5051

0.5049

0.5047

0.5045

0.5043

0.5042

0.5040

0.5039

0.5038

0.5037

0.5036

0.5035

0.5034

0.5034

0.5033

0.5032

0.5032

0.5031

0.5031

0.5031

0.5030

0.5030

0.5030

0.5029

0.5029

0.5029

0.5029

0.5028

0.5028

0.5028

0.5027

0.5027

0.5027

0.5026

0.5026

0.5025

0.5025

0.5024

0.5024

0.4967

0.4968

0.4969

0.4969

0.4969

0.4970

0.4970

0.4971

0.4971

0.4971

0.4972

0.4972

0.4973

0.4973

0.4974

0.4974

0.4975

0.4976

0.4976

0.4977

0.4978

0.4979

0.4980

0.4981

0.4981

0.4982

0.4983

0.4983

0.4984

0.4984

0.4985

0.4985

0.4986

0.4986

0.4987

0.4987

0.4988

0.4988

0.4988

0.4989

0.4989

0.4989

0.4989

0.4990

0.4990

0.4990

0.4991

0.4991

0.4991

0.4991

0.4992

0.4992

0.4992

0.4992

0.4992

0.4993

0.4993

0.4993

0.4993

119-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . all/a\\= 2.00 p*= 0.190 x = 0.7500 e22/ell- 0.50

R* su ^12 522 ^11 ^12 ^22

850 0004 0045 0.0303 0000 1 0000 0007

875 0081 0370 0.1304 0000 1 0000 0035

900 0600 1523 0.3449 0000 1 0000 0109

925 2295 3832 0.6466 0000 1 0000 0248

950 5411 7081 0.9636 0000 1 0000 0445

975 9505 1 0358 1.2091 0000 1 0000 0675

1 000 1 3534 1 3051 1.3812 0000 1 0000 0911

1 025 1 6717 1 4977 1.4654 0000 1 0000 1136

1 050 1 8757 1 5979 1.4904 0000 1 0000 1336

1 075 1 9938 1 6414 1.4775 0000 1 0000 1511

1 100 2 0198 1 6362 1.4376 0000 9999 1659

1 125 1 9936 1 5995 1.3869 0000 9996 1783

1 150 1 9405 1 5504 1.3290 0000 9983 1886

1 175 1 8656 1 4886 1.2739 0000 9952 1971

1 200 1 7833 1 4278 1.2212 0000 9891 2041

1 225 1 7010 1 3730 1.1682 0000 9793 2097

1 250 1 6224 1 3199 1.1200 0000 9660 2141

1 275 1 5438 1 2670 1.0850 9999 9499 2176

1 300 1 4885 1 2263 1.0556 9997 9325 2205

1 325 1 4220 1 1786 1.0310 9990 9147 2228

1 350 1 3706 1 1455 1.0126 9973 8974 2247

1 375 1 3195 1 1128 0.9964 9938 8812 2263

1 400 1 2760 1 0855 0.9859 9882 8664 2276

1 425 1 2317 1 0628 0.9794 9799 8530 2288

1 450 1 1993 1 0446. 0.9803 9692 8412 2299

1 475 1 1674 1 0301 0.9789 9566 8308 2309

1 500 1 1361 1 0159 0.9751 9426 8217 2319

1 525 1 1109 1 0067 0.9789 9280 8137 2328

1 550 1 0882 1 0021 0.9796 9132 8069 2337

1 575 1 0703 9942 0.9841 8988 8010 2345

1 600 1 0515 9913 0.9804 8851 7959 2353

1 625 1 0402 9934 0.9830 8722 7916 2360

1 650 1 0270 9918 0.9797 8603 7880 2366

1 675 1 0149 9934 0.9766 8494 7849 2371

1 700 1 0029 9928 0.9795 8394 7824 2375

1 725 9965 9921 0.9744 8305 7802 2379

1 750 9893 9943 0.9806 8224 7783 2383

1 775 9815 9918 0.9811 8151 7767 2386

1 800 9764 9926 0.9817 8086 7753 2389

1 825 9743 9885 0.9876 8028 7741 2392

1 850 9728 9871 0.9873 7976 7730 2395

1 875 9735 9853 0.9943 7930 7721 2398

1 900 9708 9812 0.9977 7889 7712 2401

1 925 9763 9800 0.9999 7853 7704 2404

1 950 9782 9768 1.0046 7821 7696 2408

1 975 9741 9761 1.0063 7792 7688 2411

2 000 9759 9744 1.0051 7768 7681 2415

2 025 9776 9737 1.0145 7746 7674 2418

2 050 9812 9749 1.0123 7727 7667 2422

2 075 9807 9777 1.0126 7710 7661 2425

2 100 9828 9791 1.0162 7695 7655 2429

2 125 9812 9794 1.0146 7682 7649 2432

2 150 9824 9803 1.0141 7671 7644 2436

2 175 9811 9845 1.0111 7661 7639 2439

. 2 200 9808 9888 1.0123 7652 7634 2441

2 225 9819 9894 1.0118 7644 7630 2444

2 250 9785 9941 1.0086 7637 7627 2447

2 275 9800 9949 1.0110 7631 7624 2449

2 300 9761 9992 1.0070 7625 7621 2451

2 325 9713 9991 1.0057 7619 7618 2453

2 350 9698 1 0036 1.0047 7614 7616 2455

2 375 9660 1 0043 1.0033 7609 7613 2457

2 400 9666 1 0055 1.0030 7604 7611 2458

2 425 9647 1 0077 0.9998 7600 7609 2460

2 450 9634 1 0080 1.0001 7595 7607 2461

2 475 9618 1 0071 1.0024 7591 7605 2462

2 500 9623 1 0093 1.0003 7586 7602 2463

2 525 9612 1 0088 1.0015 7582 7600 2465

120
.550

.575

.600

.625

.650

.675

.700

.725

.750

.115

.800

.825

.850

.875

.900

.925

.950

.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

.300

.325

.350

.375

.400

3.425

3.450

3.475

,500

.525

,550

,575

,600

,625

,650

,675

700

3.725

3.750

.775

.800

.825

.850

.875

.900

3.925

3.950

3.975

4.000

0.9625

0.9629

0.9616

0.9626

0.9649

0.9650

0.9689

0.9691

0.9708

0.9720

0.9775

0.9771

0.9795

0.9819

0.9844

0.9860

0.9900

0.9921

0.9936

0.9953

0.9976

1.0001

1.0021

1.0068

1.0065

1.0078

1.0057

0038

,0032

0059

0045

0061

1.0048

1.0067

1.0068

1.0061

1.0076

1.0064

1.0047

1.0073

1.0058

1.0059

1.0052

1.0038

1.0051

1.0037

1.0017

1.0029

1.0014

1.0027

1.0008

1.0007

1.0022

1.0015

1.0007

1.0013

0.9993

1.0002

1.0011

1.0011

0.9984

0.9985

1.0000

.0051

.0037

.0048

.0029

,0038

,0015

,0016

,0027

1.0011

1.0007

0.9992

1.0021

1.0016

0.9995

0.9994

0.9995

1.0003

0.9995

0.9999

0.9990

1.0003

1.0008

1.0006

0.9998

0.9996

1.0006

1.0002

0.9988

0.9988

0.9978

0.9986

0.9990

0.9998

0.9998

0.9994

0.9996

0.9997

0.9996

1.0004

0.9998

1.0004

0.9997

1.0005

0.9996

1.0007

1.0015

0.9990

0.9993

1.0009

1.0011

1.0003

0.9998

1.0007

1.0003

1.0000

1.0017

1.0012

1.0010

1.0003

1.0025

1.0045

1.0034

1.0046

1.0053

1.0060

1.0036

1.0024

1.0024

1.0051

> 1 . 0044

1.0031

1.0076

1.0063

1.0048

1.0033

1.0007

1.0043

1.0041

1.0039

1.0043

1.0053

1.0064

1.0053

1.0027

1.0035

1.0013

1.0043

1.0040

1.0030

1.0012

1.0014

1.0035

1.0029

1.0056

1.0042

1.0055

1.0020

1.0037

1.0025

1.0023

1.0028

1.0026

1.0029

1.0058

1.0035

1.0037

1.0032

1.0013

1.0032

1.0025

1.0033

1.0020

1.0024

1.0000

0.7578

0.7574

0.7571

0.7567

0.7564

0.7561

0.7558

0.7555

0.7553

0.7550

0.7548

0.7547

0.7545

0.7544

0.7543

0.7543

0.7542

0.7542

0.7542

0.7541

0.7541

0.7542

0.7542

0.7542

0.7542

0.7542

0.7542

0.7542

0.7542

0.7542

0.7542

0.7542

0.7542

0.7541

0.7541

0.7541

0.7540

0.7539

0.7539

0.7538

0.7537

0.7537

0.7536

0.7535

0.7534

0.7533

0.7532

0.7531

0.7530

0.7529

0.7529

0.7528

0.7527

0.7526

0.7525

0.7525

0.7524

0.7523

0.7523

0.7598

0.7595

0.7592

0.7590

0.7587

0.7585

0.7582

0.7579

0.7576

0.7574

0.7571

0.7569

0.7566

0.7564

0.7561

0.7559

0.7557

0.7555

0.7553

0.7552

0.7550

0.7548

0.7547

0.7545

0.7544

0.7543

0.7542

0.7541

0.7540

0.7539

0.7538

0.7537

0.7536

0.7535

0.7534

0.7533

0.7533

0.7532

0.7531

0.7530

0.7530

0.7529

0.7528

0.7527

0.7527

0.7526

0.7525

0.7524

0.7524

0.7523

0.7523

0.7522

0.7522

0.7521

0.7520

0.7520

0.7519

0.7519

0.7518

0.2466

0.2467

0.2468

0.2469

0.2470

0.2471

0.2472

0.2473

0.2474

0.2475

0.2476

0.2477

0.2477

0.2478

0.2479

0.2480

0.2480

0.2481

0.2482

0.2482

0.2483

0.2484

0.2484

0.2485

0.2485

0.2486

0.2486

0.2487

0.2487

0.2488

0.2488

0.2489

0.2489

0.2489

0.2490

0.2490

0.2490

0.2491

0.2491

0.2491

0.2492

0.2492

0.2492

0.2493

0.2493

0.2493

0.2493

0.2494

0.2494

0.2494

0.2494

0.2495

0.2495

0.2495

0.2495

0.2495

0.2496

0.2496

0.2496

-121
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.247 x - 0.9001 e22/€ll- 0.50

R* ^11 §12 §22 ^11 ^12 ^22

0.850 0.0004 0,.0041 .0245 1 .0000 1 .0000 .0002

0.875 0.0070 0,.0325 .1072 1 .0000 1 .0000 .0010

0.900 0.0539 .1336 .2903 1 .0000 1 .0000 .0033

0.925 0.2032 0,.3405 .5557 1 .0000 1,.0000 .0078

0.950 0.4847 0,.6286 .8058 1 .0000 1,.0000 .0141

0.975 0.8556 0,.9207 .0384 1 .0000 1 .0000 .0218

1.000 1.2214 1,.1747 .1987 1,.0000 1,.0000 .0300

1.025 1.5085 1,.3464 .2730 1,.0000 1,.0000 .0381

1.050 1.7055 1,.4437 .3062 1,.0000 1,.0000 .0456

1.075 1.8006 1,.4896 .2991 1,.0000 1,.0000 .0523

1.100 1.8309 1,.4936 .2703 1,.0000 1,.0000 .0581

1.125 1.8142 1,.4568 .2417 1,.0000 0,,9999 .0631

1.150 1.7673 1,.4210 .1922 1,.0000 0,.9995 .0673

1.175 1.7036 1,.3731 .1492 1,.0000 0,,9986 .0708

1.200 1.6337 1,.3215 .1011 1,,0000 0,.9967 .0736

1.225 1.5650 1,.2720 .0637 1,.0000 0,,9935 .0758

1.250 1.4972 1.,2302 ,0474 1,.0000 0,,9892 .0777

1.275 1.4359 1,,1876 .0167 1,.0000 0,.9841 .0793

1.300 1.3764 1,,1508 o[.9913 0,.9999 0,.9782 .0805

1.325 1.3248 1,,1196 0,.9766 0,.9997 0,.9720 .0815

1.350 1.2771 1,,0850 0,.9623 0,.9991 0,.9658 .0823

1.375 1.2360 1,,0666 0,.9602 0,.9980 0,.9599 0,.0830

1.400 1.1967 1.,0414 0,.9651 0,.9962 0,.9544 0,.0837

1.425 1.1616 1,,0263 0,.9683 0,.9935 0,.9493 0,.0843

1.450 1.1345 1.,0133 0,.9757 0,.9899 0,.9447 0,.0850

1.475 1.1082 1,,0021 0..9869 0,.9857 0,.9406 0,.0857

1.500 1.0832 0.,9995 0..9904 0,.9808 0,.9369 0,.0863

1.525 1.0631 0.,9933 0,.9983 0..9757 0,.9337 0,.0870

1.550 1.0462 0.,9937 1..0013 0..9704 0,.9309 0,.0876

1.575 1.0290 0,,9945 1,.0093 0,.9651 0,,9285 0,.0883

1.600 1.0174 0,,9979 1..0107 0,,9600 0,,9264 0,.0889

1.625 1.0055 1.,0022 1,.0137 0,.9550 0,.9247 0,.0895

1.650 0.9974 1.,0050 1,.0185 0,.9504 0,,9232 0..0901

1.675 0.9867 1.,0111 1,.0085 0,,9461 0,.9219 0,.0906

1.700 0.9793 1.,0150 1..0130 0,.9421 0,,9207 0,.0911

1.725 0.9753 1.,0178 1,.0059 0.,9385 0,.9198 0,.0915

1.750 0.9726 1.,0210 1..0082 0,.9352 0,,9190 0,.0919

1.775 0.9716 1.,0224 1,,0078 0,,9322 0,,9183 0,.0923

1.800 0.9721 1.,0191 1..0128 0,,9295 0.,9177 0,.0927

1.825 0.9712 1.,0186 1,.0120 0,,9271 0,,9172 0,.0930

1.850 0.9707 1.,0197 1.,0044 0.,9249 0,,9167 0.,0933

1.875 0.9750 1.,0161 1,,0102 0,,9229 0.,9161 0,,0936

1.900 0.9785 1,,0150 1,,0130 0,,9212 0,,9157 0,.0939

1.925 0.9812 1.,0103 1,,0108 0,,9197 0,,9152 0,.0942

1.950 0.9864 1.,0096 1,,0097 0,,9183 0.,9147 0,.0944

1.975 0.9898 1.,0041 1,,0119 0.,9171 0.,9142 0,,0946

2.000 0.9983 1,,0011 1.,0105 0,,9160 0.,9137 0,,0949

2.025 1.0023 0,,9995 1,,0092 0,,9151 0.,9132 0,,0951

2.050 1.0062 0,.9977 1,,0098 0.,9143 0.,9127 0.,0953

2.075 1.0082 0,,9971 1,,0106 0,,9136 0,,9122 0.,0955

2.100 1.0111 0,.9959 1,,0090 0.,9130 0.,9117 0.,0957

2.125 1.0131 0,.9954 1,.0071 0.,9125 0.,9113 0,,0959

2.150 1.0130 0.,9927 1,,0034 0.,9120 0.,9108 0.,0960

2.175 1.0146 0,.9928 1,,0045 0.,9116 0.,9104 0,,0962 2.200 1.0129 0,.9934 1.,0066 0.,9112 0.,9099 0,,0963

2.225 1.0142 0,.9942 1.,0044 0.,9109 0.,9095 0.,0964 2.250 1.0109 0,.9950 1,,0045 0.,9106 0. 9092 0.,0966

2.275 1.0089 0,.9978 1.,0032 0.,9103 0.,9088 0.,0967 2.300 1.0082 0,.9980 1,,0042 0.,9100 0. 9085 0.,0968

2.325 1.0046 0,.9965 0,,9992 0.,9097 0. 9082 0.,0969 2.350 1.0020 0,.9994 0,,9952 0.,9094 0. 9079 0.,0970

2.375 1.0016 0..9988 0,,9955 0.,9092 0. 9076 0. 0971

2.400 0.9977 .0004 1,,0035 0.,9089 0. 9073 0. 0971

2.425 0.9971 .0007 1.,0010 0.,9086 0. 9071 0. 0972

2.450 0.9931 .0016 1.,0026 0. 9083 0. 9068 0. 0973

2.475 0.9925 .0013 1,,0060 0. 9081 0. 9066 0. 0974

2.500 0.9921 .0019 1.,0060 0. 9078 0. 9064 0. 0975

2.525 0.9903 .0017 0,,9995 0.,9075 0. 9062 0. 0976

-122
2 .550 .9887 1 .0022 .9990 .9072 0,,9060 0,,0976

2 .575 .9878 1 .0025 1 .0008 .9070 0,,9058 0.,0977

2 .600 .9878 1 .0026 .9987 0,.9067 0.,9056 0,,0977

2 .625 .9872 1 .0030 1 .0030 .9064 0,,9054 0,,0978

2 .650 .9873 1 .0004 1 .0037 0,.9062 0.,9052 0,,0979

2 .675 .9871 1 .0012 .9973 .9059 0,,9051 0.,0979

2 .700 .9873 1 .0004 1,.0006 0,.9057 0,,9049 0,,0980

2 .725 .9858 1,.0007 1,.0026 0,.9054 0,,9048 0,,0980

2 .750 .9863 1,.0001 1,.0000 0,.9052 0,,9046 0,,0981

2 .775 0,.9874 1,.0004 1,.0000 0.,9050 0,,9045 0,,0981

2 .800 0,.9883 1,.0008 1,.0014 0,,9048 0.,9043 0,,0982

2 .825 0,.9889 0,.9998 .9977 0,,9046 0.,9042 0.,0982

2 .850 0,.9893 1,,0005 1,.0025 0,,9044 0.,9041 0.,0982

2 .875 0,.9902 0,,9993 1,,0048 0,,9043 0,,9040 0.,0983

2..900 0,,9912 0,,9997 1,,0027 0,,9041 0.,9038 0,,0983

2,.925 0,,9930 1,,0001 0,,9976 0,,9040 0,,9037 0,,0984

2,.950 0,,9934 1,,0005 0,,9992 0,,9039 0,,9036 0,,0984

2,.975 0,,9952 1,,0000 1,,0003 0,,9037 0,,9035 0,,0984

3,.000 0,,9952 1,,0002 1,,0010 0,,9036 0,,9034 0,,0985

3,,025 0,,9975 0,,9999 1,,0037 0,,9035 0,,9033 0,,0985

3,,050 0,,9986 1.,0005 1,,0047 0,,9035 0,,9033 0,,0986

3,,075 0,,9990 1,,0006 1,,0024 0,,9034 0,,9032 0,,0986

3,,100 0,,9995 1,,0001 1,,0044 0,,9033 0,,9031 0,,0986

3,,125 0,,9999 1,,0015 1,,0084 0,,9032 0,,9030 0,,0987

3,,150 0,,9999 1.,0015 1,,0053 0,,9032 0,,9030 0,,0987

3,,175 ,0007 1,,0018 1,,0029 0,,9031 0,,9029 0,,0988

3,,200 ,0011 1,,0014 1,,0035 0,,9030 0,,9029 0,,0988

3,,225 ,0011 1,,0017 1,,0037 0,,9030 0,,9028 0,,0988

3,,250 ,0014 1,,0008 1,,0023 0,,9029 0,,9027 0,,0989

3,,275 ,0021 1.,0004 1,,0018 0,,9029 0,,9027 0.,0989

3,,300 ,0024 1,,0005 1,,0046 0,,9029 0,,9026 0,,0989

3,,325 ,0023 1,,0023 1.,0026 0,,9028 0,,9025 0,,0989

3,,350 ,0023 1,,0009 1,,0011 0,,9028 0,,9025 0,,0990

3,,375 ,0018 1.,0019 1,,0052 0,,9027 0,,9024 0,,0990

3,,400 ,0022 1,,0023 1,,0055 0,,9027 0,,9024 0,,0990

3.,425 ,0017 1.,0019 1,,0093 0.,9026 0.,9023 0.,0991

3,,450 ,0017 1.,0015 1.,0027 0.,9026 0.,9023 0,,0991

3,,475 ,0013 1.,0017 1,,0083 0,,9025 0,,9023 0,,0991

3.,500 ,0010 1,,0010 1,,0093 0,,9025 0,,9022 0,,0991

3.,525 .0006 1..0005 1,,0054 0,,9025 0,,9022 0,,0992

3.,550 ,0005 1..0009 1,,0061 0,,9024 0,,9021 0,,0992

3,,575 ,0005 1..0012 1.,0025 0,,9024 0.,9021 0,,0992

3,,600 ,0002 1..0008 1,,0022 0,,9023 0,,9020 0,,0992

3.,625 ,0014 1..0017 1,,0014 0.,9023 0,,9020 0,,0992

3.,650 .0007 1,.0011 1,,0025 0.,9022 0,,9020 0.,0993

3,,675 o'.,9994 1..0016 1.,0021 0,,9022 0,,9019 0.,0993

3.,700 0,,9991 1..0011 1.,0028 0,.9021 0,,9019 0.,0993

3.,725 1..0002 1..0014 0..9992 0..9021 0.,9019 0.,0993

3.,750 0,.9993 1..0011 1..0005 0,.9021 0..9018 0.,0993

3.,775 0,.9994 1..0011 1..0028 0,.9020 0,.9018 0.,0993

3,,800 0..9997 1,.0012 1,.0022 0,.9020 0,.9018 0..0993

3,,825 0..9993 0..9997 1,.0036 0,.9019 0..9017 0.,0994

3,,850 1,.0003 1,.0018 1..0016 0,.9019 0,,9017 0,,0994

3,,875 0..9996 1,.0006 0..9967 0,.9019 0.,9017 0,,0994

3.,900 0..9997 1..0005 1,.0005 0,.9018 0.,9016 0,,0994

3,,925 1,.0000 0,.9995 1,.0005 0,.9018 0,,9016 0.,0994

3,,950 1..0000 0..9999 0..9987 0..9017 0,,9016 0,,0994

3,,975 0,.9997 0..9997 1,.0030 0..9017 0,.9015 0,,0994

4,,000 1..0000 1..0000 1,,0000 0,.9017 0..9015 0,,0994

123-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . all/a\\= 1..00 p*= 0.274 x^=0. 9502 e22/e]Ll= 0. 50

R* Sll §12 §22 ^11 ^12 ^22

0.850 0,.0003 0,.0035 0.0236 1.0000 .0000 0.0001

0.875 0,.0069 0,.0308 0.1008 1.0000 .0000 0.0005

0.900 0,.0510 0,.1269 0.2798 1.0000 .0000 0.0016

0.925 0..1932 0,.3262 0.5398 1.0000 .0000 0.0037

0.950 0,.4625 0,.5894 0.7827 1.0000 .0000 0.0068

0.975 0.,8177 0,.8756 0.9835 1.0000 .0000 0.0105

1.000 1,.1609 1,.1098 1.1166 1.0000 .0000 0.0144

1.025 1..4411 1,.2736 1.2145 1.0000 .0000 0.0183

1.050 1,.6268 1,.3709 1.2552 1.0000 .0000 0.0219

1.075 1,.7213 1,.4154 1.2675 1.0000 .0000 0.0253

1.100 1,.7552 1..4159 1.2412 1.0000 .0000 0.0283

1.125 1,.7364 1,.3935 1.2087 1.0000 0,.9999 0.0308

1.150 1,,6944 1..3570 1.1796 1.0000 0,.9998 0.0330

1.175 1,.6376 1,.3119 1.1231 1.0000 .9993 0.0347

1.200 1,.5734 1,.2697 1.0882 1.0000 0,.9984 0.0362

1.225 1,.5082 1..2265 1.0634 1.0000 0,.9969 0.0374

1.250 1,.4442 1..1849 1.0489 1.0000 0,.9948 0.0384

1.275 1,.3829 1..1492 1.0089 1.0000 0,.9923 0.0392

1.300 1..3299 1..1126 0.9888 1.0000 0,.9895 0.0398

1.325 1..2789 1..0795 0.9773 0.9999 .9866 0.0403

1.350 1..2371 1,.0560 0.9780 0.9996 0,.9837 0.0407

1.375 1,.1947 1,.0338 0.9675 0.9991 0,.9808 0.0411

1.400 1,.1619 1,.0154 0.9684 0.9982 0,.9781 0.0415

1.425 1..1299 1,.0001 0.9820 0.9969 0,.9755 0.0418

1.450 1,.1002 0,.9916 0.9892 0.9953 0,.9732 0.0422

1.475 1,.0770 0..9839 0.9945 0.9933 0,.9711 0.0425

1.500 1..0566 0,.9818 1.0041 0.9910 0,.9692 0.0429

1.525 1..0373 0..9799 1.0226 0.9886 0,.9676 0.0433

1.550 1,.0207 0,.9824 1.0185 0.9860 0..9661 0.0436

1.575 1..0058 0,.9812 1.0264 0.9835 0..9649 0.0440

1.600 0,.9962 0,.9886 1.0375 0.9810 0..9638 0.0444

1.625 0,.9850 0..9970 1.0365 0.9787 0..9629 0.0447

1.650 0..9784 1..0027- 1.0212 0.9764 0,.9621 0.0450

1.675 0,.9706 1,.0087 1.0321 0.9743 0,.9614 0.0453

1.700 0,.9673 1,.0140 1.0234 0.9723 0..9608 0.0456

1.725 0,.9620 1..0198 1.0218 0.9706 0,.9603 0.0458

1.750 0,.9607 1..0249 1.0220 0.9689 0,.9599 0.0460

1.775 0..9610 1,.0238 1.0267 0.9674 0,.9596 0.0462

1.800 0..9595 1..0275 1.0214 0.9661 0,.9593 0.0464

1.825 0,.9640 1,.0268 1.0231 0.9649 0,.9590 0.0466

1.850 0,.9674 1,.0241 1.0144 0.9638 0,.9587 0.0468

1.875 0,.9697 1,.0239 1.0135 0.9628 0,.9584 0.0469

1.900 0,.9737 1..0198 1.0109 0.9619 0..9582 0.0471

1.925 0,.9811 1..0167 1.0144 0.9612 0,.9579 0.0472

1.950 0,.9864 1..0136 0.9994 0.9605 0..9576 0.0473

1.975 0..9927 1,.0102 1.0162 0.9599 0,.9574 0.0474

2.000 0,.9971 1,.0072 1.0223 0.9594 0,.9571 0.0475

2.025 1,.0034 1,.0063 1.0188 0.9589 0..9568 0.0477

2.050 1,.0098 1,.0053 1.0211 0.9585 0,.9565 0.0478

2.075 1,.0118 1,.0017 1.0226 0.9582 0..9563 0.0479

2.100 1,.0155 1,.0006 1.0273 0.9579 0,.9560 0.0480

2.125 1..0184 0,.9999 1.0283 0.9576 0..9557 0.0481

2.150 1,.0211 0,.9978 1.0217 0.9574 0,.9555 0.0482

2.175 1,.0208 0..9955 1.0246 0.9572 0,.9552 0.0483

2.200 1,.0211 1,.0000 1.0232 0.9570 0..9550 0.0484

2.225 1,.0203 0..9986 1.0234 0.9568 0,.9548 0.0485

2.250 1..0212 0,.9982 1.0311 0.9566 0.,9546 0.0486

2.275 1,.0184 0..9997 1.0239 0.9565 0,,9544 0.0487

2.300 1..0159 0..9998 1.0163 0.9563 0,,9542 0.0487

2.325 1,.0151 1,.0002 1.0114 0.9562 0.,9540 0.0488

2.350 1,.0132 1,.0023 1.0089 0.9560 0.,9539 0.0489

2.375 1,.0113 0,.9997 1.0115 0.9559 0.,9537 0.0489

2.400 1,.0086 1,.0010 1.0198 0.9558 0. 9536 0.0490

2.425 1,.0067 1..0003 1.0134 0.9556 0.,9534 0.0490

2.450 1,.0043 1,.0015 1.0222 0.9555 0. 9533 0.0491

2.475 1,.0019 1..0023 1.0174 0.9553 0. 9532 0.0491

2.500 0,.9997 1,.0005 1.0147 0.9551 0. 9531 0.0492

2.525 0,.9986 1,.0019 1.0123 0.9550 0. 9530 0.0492

-124
2 .550 .9968 1 0006 1 0126 9548 9529 0492 2 .575 .9959 1 0016 1 0117 9547 9528 0493 2 .600 .9941 1 0022 1 0153 9545 9527 0493 2 .625 9938 1 0015 1 0172 9543 9526 0493 2 .650 9931 9996 1 0147 9542 9525 0494 2 .675 9933 1 0007 1 0151 9540 9524 0494 2 .700 9924 9987 1 0187 9539 9523 0494 2 .725 9919 9994 1 0138 9537 9523 0495 2 750 9916 9998 1 0196 9536 9522 0495 2 775 9927 9981 1 0078 9535 9521 0495 2 800 9933 9983 1 0129 9533 9520 0496 2 825 9932 9981 1 0103 9532 9519 0496 2 850 9933 9983 1 0089 9531 9518 0496 2 875 9944 9980 1 0162 9530 9518 0496 2 900 9943 9970 1 0060 9529 9517 0496 2 925 9950 9977 1 0065 9528 9516 0497 2 950 9955 9998 1 0052 9527 9515 0497 2 975 9968 9974 1 0027 9526 9515 0497 3 000 9966 9979 1 0063 9526 9514 0497 3 025 9974 9992 1 0042 9525 9513 0497 3 050 9986 9994 1 0049 9524 9513 0497 3 075 9996 9983 1 0087 9524 9512 0497 3 100 9992 9976 1 0132 9523 9512 0497 3 125 9999 9984 1 0062 9523 9512 0497 3 150 1 0001 9987 9989 9522 9511 0497 3 175 1 0013 9992 1 0072 9522 9511 0497 3 200 1 0001 9982 1 0056 9521 9510 0498 3 225 1 0011 9991 1 0061 9521 9510 0498 3 250 1 0010 9987 1 0031 9520 9510 0498 3 275 1 0009 9981 1 0047 9520 9509 0498 3 300 1 0009 9973 1 0057 9520 9509 0498 3 325 1 0017 9973 1 0045 9519 9509 0498 3 350 1 0017 9983 9980 9519 9508 0498 3 375 1 0007 9995 1 0052 9519 9508 0498 3 400 1 0006 9976 1 0025 9518 9508 0498 3 425 9998 9981 1 0018 9518 9507 0498 3 450 9998 9976 1 0014 9517 9507 0498 3 475 1 0002 9993 1 0007 9517 9507 0498 3 500 1 0001 9996 1 0012 9517 9507 0498 3 525 1 0001 9982 1 0021 9516 9506 0498 3 550 9996 9987 1 0001 9516 9506 0498 3 575 9995 9996 9978 9516 9506 0498 3 600 9992 9985 1 0009 9516 9506 0498 3 625 9994 9989 1 0018 9515 9505 0498 3 650 9993 9989 9996 9515 9505 0498 3 675 9989 9985 1 0057 9515 9505 0498 3 700 9990 9991 9967 9514 9505 0498 3 725 9990 9999 1 0006 9514 9504 0498 3 750 9994 9990 9956 9514 9504 0498 3 775 9987 1 0001 1 0047 9514 9504 0498 3 800 9990 9989 9983 9513 9504 0498 3 825 9987 9992 1 0010 9513 9504 0498 3 850 9996 9991 1 0018 9513 9504 0498 3 875 9984 9998 1 0006 9513 9504 0498 3 900 9986 1 0001 9997 9512 9503 0498 3 925 9992 9991 9982 9512 9503 0498 3 950 9989 9995 1 0003 9512 9503 0498 3 975 9993 9995 9997 9512 9503 0498 4 000 1 0000 1 0000 1 0000 9512 9503 0498

125
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.098 x.- 0.0498 £22/ell= 1.00

R* Hi ^12 ^22 ^11 ^12 ^22

0,.850 0,.0020 .0004 0,.0008 1.0000 1.0000 .0005

0,.875 0,.0096 0,.0121 .0154 1.0000 1.0000 .0110

0..900 0,.0690 0,.0818 0..1043 1.0000 1.0000 .0844

0,.925 0,.3094 0,.2971 0,.3646 1.0000 1.0000 .2882

0..950 0,.6746 0,.6930 0,.8103 1.0000 1.0000 .5353

0,.975 1,.2840 1,.1812 1..3270 1.0000 1.0000 .7086

1,.000 1..7162 1,.6387 1,.7619 1.0000 1.0000 .8064

1,.025 2,.0450 1,.9771 2,.0449 1.0000 1.0000 .8604

1..050 2,.1916 2 ,1535 2..1615 1.0000 1.0000 .8916

1,.075 2,.3352 2,.2191 2,.1530 1.0000 1.0000 .9107

1..100 2..3335 2..2058 2,.0679 1.0000 1.0000 0,.9230

1,.125 2..3286 2..1205 1,.9374 1.0000 0.9998 0,.9313

1,.150 2..2473 2,.0098 1..7922 1.0000 0.9973 .9371

1..175 2..1826 1..8872 1,.6485 1.0000 0.9801 0,.9412

1,.200 2..0670 1,.7686 1,.5131 1.0000 0.9156 0,.9443

1,.225 1,.9179 1,.6539 1,.3919 1.0000 0.7732 0,.9465

1,.250 1,.7262 1,.5471 1,.2836 1.0000 0.5835 0,.9482

1..275 1,.8102 1,.4509 1,.1900 0.9998 0.4129 0,.9495

1..300 1..6560 1,.3629 1..1080 0.9974 0.2914 0,.9504

1,.325 1,.5765 1.,2863 1..0383 0.9849 0.2128 0,.9510

1,.350 1,,5735 1.,2166 0.,9786 0.9446 0.1628 0,.9515

1.,375 1,,4421 1,,1550 0.,9298 0.8541 0.1302 0,.9518

1,.400 1.,3813 1.,1054 0.,8878 0.7124 0.1084 0,.9519

1,,425 1,,3427 1,,0612 0..8541 0.5534 0.0933 0,.9519

1,.450 1.,2751 1,,0125 0,.8271 0.4147 0.0825 0,.9519

1,,475 1,,2336 0,,9803 0.,8054 0.3106 0.0746 0,.9517

1,,500 1,,2484 0,,9458 0,,7892 0.2378 0.0687 0,.9515

1.,525 1,,2021 0,,9177 0,,7784 0.1877 0.0642 0,.9512

1,,550 1.,1373 0,,8964 0,,7723 0.1529 0.0607 0..9508

1,,575 1.,1294 0,,8709 0,,7698 0.1283 0.0579 0,.9504

1,,600 1.,1099 0,,8554 0,,7720 0.1107 0.0557 0,.9500

1.,625 1,,0543 0,,8429 0,,7773 0.0975 0.0540 0,.9496

1,,650 1,,0031 0,,8317 0,,7861 0.0875 0.0525 0..9491

1,,675 1.,0295 0.,8261 0,,7980 0.0798 0.0514 0,.9486

1,,700 1.,0035 0.,8161 0,,8149 0.0738 0.0505 0,.9482

1,,725 0,,9326 0,,8132 0,,8343 0.0689 0.0498 0,.9477

1,,750 0,,9724 0.,8148 0,,8569 0.0650 0.0493 0,.9473

1,,775 0,,9340 0.,8124 0,,8810 0.0619 0.0488 0..9470

1.,800 0,,9187 0,,8138 0.,9081 0.0593 0.0485 0..9466

1.,825 0.,9224 0,,8127 0,,9371 0.0571 0.0483 0,.9464

1,,850 0,,8989 0.,8214 0.,9652 0.0553 0.0481 0,,9463

1,,875 0,,8856 0.,8227 0.,9946 0.0538 0.0481 0,,9462

1..900 0,,8873 0.,8337 1.,0236 0.0525 0.0481 0.,9462

1,.925 0,,9172 0,,8440 1,,0507 0.0515 0.0481 0,.9463

1,.950 0,.8710 0,.8561 1,.0760 0.0506 0.0482 0,.9464

1,.975 0,.8562 0,.8652 1,,0976 0.0498 0.0483 0,.9466

2,.000 0,.8114 0,.8781 1,,1151 0.0491 0.0485 0,.9469

2,.025 0,.8320 0..8952 1,.1270 0.0485 0.0487 0,.9472

2,.050 0,.8574 0,.9048 1,,1331 0.0480 0.0490 0,.9475

2,.075 0,.8310 0..9251 1.,1346 0.0476 0.0493 0.,9478

2,.100 0,.8444 0,.9391 1,,1307 0.0472 0.0496 0,,9481

2 .125 0..8683 0..9550 1,,1228 0.0470 0.0499 0,,9484

2,.150 0..8329 0..9736 1,,1126 0.0468 0.0502 0,,9487

2 .175 0,.8416 0,.9892 1,,0991 0.0466 0.0506 0,,9490

2 .200 0,.8520 .0073 1,,0840 0.0465 0.0509 0,,9492

2 .225 0,.8238 .0215 1..0680 0.0464 0.0513 0,,9494

2 .250 0,.8314 .0397 1..0526 0.0463 0.0516 0,,9496

2 .275 .8300 .0547 1,,0360 0.0462 0.0519 0,,9498

2 .300 0,.8424 .0697 1,.0219 0.0462 0.0523 0,,9499

2 .325 0,.8282 .0832 1,.0066 0.0462 0.0526 0,,9500

2 .350 0,.8530 .0897 0,.9929 0.0462 0.0529 0.,9501

2 .375 .8398 .0983 0,.9814 0.0463 0.0531 0.,9501

2 .400 .8451 .1003 0,,9714 0.0463 0.0534 0.,9501

2 .425 .8548 .1034 0,,9622 0.0464 0.0535 0.,9501

2 .450 .8480 .1037 0,,9557 0.0465 0.0537 0.,9501

2 .475 0,.8713 .0992 0.,9498 0.0466 0.0538 0.,9501

2 .500 .8629 .1026 0,,9462 0.0468 0.0538 0. 9500

2 .525 .8646 .0931 0,,9441 0.0469 0.0538 0. 9500

126
2 .550 .9015 1 .0860 .9440 .0470 .0538 9499 2 .575 .8992 1 .0811 .9452 .0472 .0537 9499 2 .600 .9211 1 .0692 .9469 .0474 .0536 9498 2 .625 .9152 1 .0613 .9501 .0476 .0534 9497 2 .650 .9395 1 .0548 .9545 .0478 .0533 9497 2 .675 .9364 1 .0424 .9602 .0480 .0531 9496 2 .700 .9576 1 .0334 .9658 .0482 0528 9496 2 .725 .9615 1 .0252 .9723 0485 .0526 9495 2 .750 .9745 1 .0132 9789 .0487 0524 9495 2 .775 .9837 1 .0069 9860 0489 0521 9494 2 .800 9893 .9972 9927 0491 0519 9494 2 .825 1 0121 .9921 9996 0494 0516 9494 2 .850 1 0313 .9845 1 0056 0496 0514 9494 2 .875 1 0001 .9811 1 0115 0499 0512 9494 2 .900 1 0277 9756 1 0164 0501 0510 9494 2 .925 1 0451 .9710 1 0207 0503 0508 9495 2 .950 1 0535 9656 1 0244 0505 0507 9495 2 975 1 0824 9610 1 0270 0508 0505 9495 3 000 1 0770 9588 1 0285 0510 0504 9496 3 025 1 0662 9576 1 0291 0512 0503 9496 3 050 1 0773 9565 1 0292 0514 0502 9497 3 075 1 0925 9564 1 0286 0516 0501 9497 3 100 1 1019 9568 1 0269 0518 0500 9498 3 125 1 0789 9584 1 0248 0519 0500 9498 3 150 1 1078 9594 1 0217 0520 0499 9498 3 175 1 0953 9617 1 0189 0522 0499 9499 3 200 1 0998 9642 1 0154 0523 0499 9499 3 225 1 1114 9673 1 0117 0524 0499 9499 3 250 1 1090 9708 1 0080 0525 0499 9499 3 275 1 0707 9758 1 0047 0525 0499 9499 3 300 1 0713 9787 1 0017 0525 0499 9500 3 325 1 0706 9830 9977 0525 0499 9500 3 350 1 0721 9821 9956 0525 0500 9500 3 375 1 0608 9891 9932 0525 0500 9500 3 400 1 0506 9918 9908 0524 0501 9500 3 425 1 0507 9960 9894 0524 0501 9500 3 450 1 0316 1 0013 9876 0523 0502 9499 3 475 1 0261 1 0034 9872 0522 0502 9499 3 500 1 0505 1 0051 9865 0521 0503 9499 3 525 1 0213 1 0078 9864 0520 0503 9499 3 550 1 0088 1 0119 9866 0518 0504 9499 3 575 1 0172 1 0136 9871 0517 0504 9499 3 600 1 0122 1 0161 9879 0516 0504 9499 3 625 1 0162 1 0198 9893 0515 0505 9499 3 650 1 0022 1 0208 9906 0513 0505 9499 3 675 9811 1 0220 9919 0512 0505 9499 3 700 9875 1 0229 9941 0510 0506 9499 3 725 9903 1 0220 9954 0509 0506 9499 3 750 9883 1 0201 9973 0508 0506 9499 3 775 9664 1 0199 9994 0506 0506 9499 3 800 9773 1 0201 1 0008 0505 0506 9499 3 825 9714 1 0193 1 0021 0504 0506 9499 3 850 9765 1 0159 1 0038 0503 0506 9499 3 875 9603 1 0167 1 0051 0502 0506 9499 3 900 9655 1 0137 1 0062 0501 0505 9499 3 925 9636 1 0118 1 0070 0500 0505 9499 3 950 9568 1 0101 1 0071 0499 0505 9500 3 975 9725 1 0100 1 0077 0498 0505 9500 4 000 1 0000 1 0000 1 0000 0497 0504 9500

127-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.102 x = 0.0999 €22/ell= 1.00

R* Sll ^12 §22 ^11 ^12 hi

0,.850 .0008 0,.0005 .0008 1 .0000 1 .0000 .0002

.875 .0127 0,.0116 .0153 1 .0000 1 .0000 .0052

0,.900 .0838 .0809 .1030 1 .0000 1 .0000 .0415

.925 .3040 0,.2977 .3608 1 .0000 1 .0000 .1597

0,.950 .7073 0,,6909 .8011 1 .0000 1 .0000 .3509

0,.975 1 .2128 1,.1819 1,.3124 1 .0000 1 .0000 .5330

1,.000 1,.6926 1.,6361 1 .7482 1 .0000 1 .0000 .6618

1,.025 2,.0883 1,.9632 2,.0248 1,.0000 1 .0000 .7433

1,,050 2,.3931 2..1519 2,.1472 1 .0000 1 .0000 .7945

1,,075 2,.4781 2,,2086 2,.1389 1 .0000 1 .0000 .8275

1,,100 2,.4667 2,,1804 2,.0557 1 .0000 1,.0000 .8494

1,,125 2,.3317 2.,1068 1,,9270 1 .0000 .9999 .8645

1,,150 2,.3311 2.,0064 1,,7859 1 .0000 .9987 0,.8752

1,,175 2,,1829 1,,8847 1,,6428 1,.0000 .9905 0,.8829

1,,200 2.,1167 1.,7675 1,,5111 1 .0000 0,,9585 0,.8886

1,,225 2,,0065 1.,6394 1,,3891 1,.0000 .8790 0,.8929

1,,250 1..8449 1.,5389 1,,2820 1 .0000 .7490 0,,8960

1,,275 1,,7378 1.,4406 1,,1885 .9999 ,5997 8984

1,,300 1.,6740 1,,3611 1,,1086 ,9988 0,.4670 0,.9001

1.,325 1,,6247 1,,2754 1,,0408 0,.9932 ,3654 0,,9013

1.,350 1,,5141 1,,2119 0,,9824 .9741 0,,2926 ,9022

1.,375 1.,4206 1,,1527 0,,9341 0,,9272 0,,2416 0,.9027

1.,400 1,,3840 1.,0995 0,,8926 0,.8427 0,,2055 0,,9030

1.,425 1,,3322 1,,0545 0,,8599 0,,7279 0,,1795 0,,9031

1,,450 1,,2951 1..0183 0,,8336 0,.6045 0,,1605 0,,9030

1.,475 1,,1884 0.,9790 0,,8123 0,,4923 0,.1463 0,,9027

1.,500 1,,1866 0.,9496 0.,7975 ,4010 0,,1355 0,,9023

1.,525 1,,1355 0.,9213 0.,7882 ,3311 0.,1272 0,,9018

1.,550 1,,1072 0.,8990 0,,7810 0,,2785 0.,1207 0,,9012

1,,575 1,,1046 0,,8754 0,,7800 0,,2393 0.,1155 0,,9005

1.,600 1,,0625 0,,8665 0,,7794 0,,2097 0,,1114 0.,8997

1.,625 1,,0242 0,,8499 0.,7851 0,,1871 0,,1081 0,,8989

1,,650 1,,0046 0.,8416 0,.7936 0,,1696 0,,1055 0.,8981

1,,675 0,,9658 0,,8329 0,.8056 0.,1558 0.,1033 0.,8972

1.,700 0,,9463 0,,8254 0,.8206 0,,1447 0.,1016 0,.8964

1.,725 0,,9333 0.,8204 0..8392 0.,1358 0,,1003 0,.8956

1.,750 0.,9286 0.,8210 0..8602 0,,1286 0,,0992 0,.8949

1.,775 0,,8999 0,,8185 0,.8838 0,,1226 0,,0984 0..8942

1,,800 0,,9145 0..8201 0..9088 0.,1176 0,,0978 0..8936

1,,825 0,,9076 0..8216 0..9359 0.,1136 0,,0974 0..8932

1,,850 0.,8663 0,.8242 0..9625 0.,1102 0,,0971 0,.8929

1,,875 0,,8826 0,.8327 0,.9906 0.,1073 0,,0969 0..8927

1.,900 0.,8790 0,.8362 1,.0197 0.,1049 0..0969 0..8927

1,,925 0,,8752 0,.8469 1,.0460 0,,1028 0,.0970 0,.8929

1,,950 0,,8669 0,.8563 1..0696 0.,1011 0..0971 0..8931

1,,975 0,,8499 0,.8697 1,.0919 0,,0996 0..0974 0..8935

2,,000 0,,8433 0,.8819 1,.1093 0,,0983 0,.0977 0..8939

2,,025 0,,8486 0,.8931 1,.1204 0,,0972 0,.0981 0..8945

2,,050 0,,8351 0,.9061 1,.1271 0,,0963 0,.0985 0,.8951

2,,075 0,,8494 0,.9230 1,.1287 0,,0956 0,.0990 0..8956

2,,100 0,,8517 0,.9390 1,.1261 0,,0949 0,.0995 0..8962

2,,125 0.,8554 0,.9544 1,.1184 0,,0945 0..1001 0.,8968

2,,150 0,,8326 0..9717 1,.1089 0..0940 0..1007 0.,8973

2,,175 0,,8568 0,.9886 1,.0963 0,.0937 0,.1013 0,,8978

2,,200 0,,8357 1,.0025 1..0819 0,.0935 0..1019 0,,8983

2,,225 0,,8352 1,.0191 1.,0666 0..0933 0,.1026 0,,8987

2,,250 0.,8431 1..0358 1..0508 0,.0931 0,,1032 0. 8990

2,,275 0,,8205 1,.0501 1..0360 0..0930 0,,1038 0. 8993

2,,300 0,,8608 1,.0646 1..0218 0,,0930 0.,1044 0. 8995

2,,325 0,,8405 1..0754 1,,0072 0.,0930 0. 1050 0. 8997

2,,350 0,,8334 1,.0882 0..9949 0,.0931 0.,1055 0. 8998

2,,375 0.,8644 1..0952 0,,9842 0.,0932 0. 1059 0. 8999

2,,400 0,,8788 1..0986 0.,9746 0,.0933 0. 1064 0. 8999

2,,425 0.,8746 1..1015 0,,9667 0.,0935 0. 1067 0. 9000

2.,450 0,,8846 1..1035 0.,9601 0.,0938 0. 1070 0. 8999

2,,475 0.,8879 1,.0999 0,,9541 0.,0940 0. 1072 0. 8999

2,,500 0,,8951 1..0960 0.,9502 0.,0943 0. 1073 0. 8998

2,,525 0,,8952 1,.0915 0, 9483 0.,0946 0. 1073 0. 8997

-128-
2.550

2.575

,600

,625

,650

.675

,700

.725

,750

,775

,800

,825

2.850

2.875

900

925

950

975

000

025

050

3.075

100

,125

,150

,175

,200

,225

,250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

,500

.525

.550

.575

,600

,625

,650

.675

.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

900

925

,950

,975

0.9140

0.9249

0.9151

0.9209

0.9125

0.9360

0.9456

0.9751

0.9626

0.9773

0.9760

0.9938

.0083

,0059

,0253

,0375

,0324

,0661

0596

0696

0705

0866

1.0772

1.0887

0965

0974

0862

0823

0875

1.1007

1.0741

1.0660

1.0774

1.0726

1.0628

4.000

0563

,0522

,0536

,0530

0433

1.0320

1.0303

1.0277

1.0169

1.0148

0.9985

1.0087

0.9920

1.0006"

0.9894

0.9846

0.9832

0.9810

0.9803

0.9730

0.9784

0.9710

0.9752

1.0000

1.0831

1.0773

1.0672

1.0588

1.0489

1.0389

1.0306

1.0234

1.0160

1.0063

0.9991

0.9906

0.9887

0.9813

0.9732

0.9697

0.9682

0.9654

0.9637

0.9620

0.9632

0.9597

0.9607

0.9602

0.9616

0.9631

0.9659

0.9692

0.9710

0.9735

0.9775

0.9814

0.9847

0.9906

0.9914

0.9956

0.9984

1.0009

1.0047

1.0072

1.0104

1.0151

1.0148

1.0170

1.0171

1.0212

1.0195

1.0226

1.0203

1.0209

1.0189

1.0171

1.0177

1.0156

1.0140

1.0128

1.0111.

1.0077

1.0000

0.9477

0.9485

0.9493

0.9533

0.9575

0.9626

0.9677

0.9734

0.9799

0.9868

0.9927

0.9996

1 . 0044

1.0102

1.0146

1.0180

1.0217

0249

0262

0274

0264

0268

0251

0234

0207

0183

0156

0121

0088

0056

0027

0.9993

0.9965

0.9943

0.9924

0.9902

0.9892

0.9883

0.9878

0.9874

0.9878

0.9886

0.9891

0.9903

0.9917

0.9929

0.9947

0.9965

0.9982

0.9992

1.0009

1.0021

,0037

0048

,0052

0063

,0067

0072

0000

0.0949

0.0953

0.0956

0.0960

0.0963

0.0967

0.0970

0.0975

0.0979

0.0983

0.0987

0.0991

0.0995

0.0999

0.1003

0.1007

0.1011

0.1015

0.1019

0.1023

0.1026

0.1030

0.1033

0.1035

0.1038

0.1041

0.1043

. 1044

0.1045

0.1046

0.1047

0.1047

0.1047

0.1047

0.1047

0.1046

0.1044

0.1043

0.1041

0.1040

0.1038

0.1036

0.1033

0.1031

0.1029

0.1026

0.1024

0.1022

0.1019

0.1017

0.1015

0.1013

0.1011

0.1009

0.1007

0.1005

0.1004

0.1002

0.1001

0.1072

0.1071

0.1069

0.1066

0.1063

0.1059

0.1055

0.1051

0.1047

0.1042

0.1038

0.1033

0.1029

0.1025

0.1022

0.1018

0.1015

0.1012

0.1010

0.1008

0.1006

0.1005

0.1003

0.1002

0.1001

0.1001

0.1001

0.1000

0.1000

0.1001

0.1001

0.1002

0.1002

0.1003

0.1004

0.1004

0.1005

0.1006

0.1007

0.1008

0.1009

0.1009

0.1010

0.1011

0.1011

0.1012

0.1012

0.1012

0.1013

0.1013

0.1013

0.1013

0.1012

0.1012

0.1012

0.1012

0.1011

0.1011

0.1010

0.8996

0.8995

0.8994

0.8993

0.8992

0.8991

0.8990

0.8989

0.8988

0.8988

0.8988

0.8987

0.8987

0.8987

0.8988

0.8988

0.8989

0.8989

0.8990

0.8991

0.8992

0.8993

0.8993

0.8994

0.8995

0.8995

0.8996

0.8996

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8996

0.8996

0.8996

0.8996

0.8996

0.8996

0.8996

0.8996

0.8996

0.8996

0.8996

0.8996

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8998

129
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2 .00 p*= 0.117 X = 0. 2500 el 2/6JLl= 1. 00

R* Sll §12 §22 hi ^12 ^22

0.850 0,.0005 0,.0007 .0007 1.0000 1,.0000 0,.0001

0.875 0,,0108 0,.0113 .0146 1.0000 1,.0000 0,.0017

0.900 0,.0786 0,.0793 .1011 1.0000 1,.0000 0,.0140

0.925 0,.2883 0,.2911 .3531 1.0000 1,.0000 0,.0590

0.950 0..6990 0,.6787 .7819 1.0000 1,.0000 0,.1512

0.975 1..1749 1,.1564 1,.2845 1.0000 1,.0000 0,.2732

1.000 1,.6663 1..6020 1 .7052 1.0000 1,.0000 0,.3916

1.025 2,.0062 1,.9335 1,.9765 1.0000 1,.0000 0,.4875

1.050 2,.2761 2,.1223 2..1013 1.0000 1,.0000 0,.5594

1.075 2,,3474 2,.1826 2..0920 1.0000 1,.0000 0,.6115

1.100 2,.3977 2,,1572 2 .0139 1.0000 1,.0000 0,.6491

1.125 2,.3136 2,.0851 .8907 1.0000 1,.0000 0,.6765

1.150 2,.2046 1,.9728 .7552 1.0000 0,.9996 0,.6967

1.175 2,,0619 1,.8544 .6197 1.0000 0,.9969 0,,7118

1.200 1,,9843 1,.7437 .4890 1.0000 0,.9860 0,.7232

1.225 1.,8643 1,.6326 .3746 1.0000 0,.9565 0,.7317

1.250 1,,7616 1,.5256 .2711 1.0000 0,.9005 0,,7381

1.275 1,,6630 1,.4383 .1828 0.9999 0,.8198 0,.7429

1.300 1.,5999 1,,3520 .1056 0.9996 0,.7268 0,.7465

1.325 1,,5246 1,,2753 .0424 0.9976 0,.6363 0,.7491

1.350 1,,4257 1,,2105 o!.9876 0.9910 0,.5573 0,.7509

1.375 1,,3640 1,,1546 0,.9407 0.9739 0,.4924 0,.7521

1.400 1.,3314 1,,1020 0,.9057 0.9401 0,.4406 0,.7527

1.425 1,,2808 1,,0581 0,.8763 0.8868 0,.4000 0,.7530

1.450 1,,2330 1.,0204 0,.8520 0.8173 0..3682 0,,7529

1.475 1,,1841 0,,9875 0,.8332 0.7398 0,.3432 0,,7526

1.500 1,,1439 0,,9583 0,.8226 0.6628 0,.3235 0,,7520

1.525 1,,1063 0,,9288 0,.8152 0.5923 0,.3078 0,,7512

1.550 1.,0727 0,,9101 0,.8107 0.5311 0..2952 0,,7502

1.575 1,,0520 0.,8930^ 0,.8107 0.4797 0,.2850 0,,7491

1.600 1.,0293 0,,8816 0..8129 0.4373 0,.2768 0,,7479

1.625 1,.0034 0,,8673 0,.8153 0.4027 0,.2702 0,,7466

1.650 0.,9952 0.,8610 0,.8224 0.3743 0,.2648 0,,7452

1.675 0.,9452 0,,8535 0,.8305 0.3510 0,,2605 0.,7439

1.700 0,,9376 0,,8500 0,.8410 0.3316 0,,2571 0.,7424

1.725 0.,9224 0,,8447 0,.8567 0.3156 0,,2543 0,,7411

1.750 0.,9184 0,,8443 0,.8736 0.3023 0,,2521 0,,7398

1.775 0,,9085 0,,8398 0,.8921 0.2912 0,,2504 0.,7386

1.800 0..8917 0,,8421 0,,9156 0.2819 0,,2491 0.,7377

1.825 0.,8864 0.,8426 0.,9360 0.2739 0.,2482 0.,7369

1.850 0,,8834 0,.8456 0,,9590 0.2672 0,,2476 0.,7363

1.875 0.,8609 0.,8495 0.,9840 0.2615 0.,2472 0,,7360

1.900 0.,8770 0..8536 1.,0081 0.2567 0.,2470 0,,7359

1.925 0,,8620 0,,8590 1.,0326 0.2526 0.,2470 0,,7361

1.950 0,,8522 0,,8671 1,,0550 0.2490 0,,2472 0.,7365

1.975 0,,8485 0.,8745 1.,0737 0.2460 0.,2476 0,,7372

2.000 0,,8508 0,,8871 1,,0887 0.2434 0.,2480 0.,7380

2.025 0,,8533 0,,8991 1,,1024 0.2413 0,,2486 0,,7389

2.050 0,,8579 0,,9102 1,.1091 0.2395 0,,2493 0.,7399

2.075 0,,8588 0,,9249 1,.1101 0.2381 0.,2501 0.,7410

2.100 0.,8512 0,,9385 1,.1079 0.2369 0,,2509 0.,7420

2.125 0,,8446 0,,9522 1,.1016 0.2359 0,,2518 0.,7431

2.150 0.,8547 0,,9644 1,.0925 0.2351 0,,2528 0.,7440

2.175 0,,8490 0,,9815 1..0857 0.2345 0.,2537 0.,7449

2.200 0,,8434 0,,9935 1..0728 0.2340 0,,2548 0.,7457

2.225 0,,8459 1,,0119 1..0606 0.2337 0,,2558 0.,7465

2.250 0,,8619 1,,0264 1,,0477 0.2335 0.,2569 0.,7471

2.275 0,,8571 1.,0388 1,,0351 0.2334 0.,2579 0.,7476

2.300 0,,8561 1,,0495 1,,0220 0.2335 0.,2589 0.,7481

2.325 0,,8670 1,,0635 1.,0107 0.2336 0.,2599 0.,7484

2.350 0,,8652 1,,0724 1,,0003 0.2338 0.,2608 0. 7487

2.375 0,,8577 1,,0784 0,,9890 0.2341 0.,2616 0. 7489

2.400 0,,8648 1.,0809 0,,9816 0.2344 0. 2623 0. 7490

2.425 0,,8771 1.,0840 0,,9747 0.2348 0. 2629 0. 7490

2.450 0,,8755 1,,0855 0,,9697 0.2352 0.,2634 0. 7490

2.475 0,,8811 1,,0870 0,,9647 0.2356 0.,2638 0. 7490

2.500 0,,8887 1,,0840 0,,9608 0.2362 0.,2640 0. 7489

2.525 0,.8989 1.,0787 0,,9599 0.2367 0. 2641 0. 7488

130
2.550

2.575

2.600

2.625

2.650

2.675

700

725

750

775

800

825

850

2.875

900

925

950

975

000

025

050

3.075

100

125

150

175

200

225

250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

,500

,525

,550

,575

,600

,625

,650

,675

,700

,725

,750

3.775

800

825

850

875

900

925

950

3.975

4.000

0.9033

0.9150

0.9202

0.9262

0.9396

0.9502

0.9404

0.9575

0.9597

0.9700

0.9835

0.9870

0.9960

1.0072

1.0139

1.0202

1.0321

1.0385

1.0416

1.0544

1.0596

1.0534

1.0655

1.0657

1.0733

0740

0725

,0713

,0703

,0701

,0659

1.0696

1.0618

1.0610

1.0530

1.0491

1.0456

1.0350

1.0393

1.0372

1.0269

1.0265

1.0166

1.0158

1.0240

1.0119

1.0107

1.0092

1.0051

0.9954

0.9919

0.9919

0.9876

0.9815

0.9849

0.9767

0.9823

0.9803

1.0000

1.0741

1.0688

1.0613

1.0533

1.0436

1.0369

1.0304

1.0231

1.0166

1.0085

1.0004

0.9981

0.9899

0.9876

0.9837

0.9757

0.9742

0.9737

0.9713

0.9687

0.9677

0.9696

0.9700

0.9705

0.9706

0.9711

0.9732

0.9767

0.9781

0.9803

0.9810

0.9843

0.9862

0.9883

0.9906

0.9951

0.9978

,0014

0030

,0059

,0076

,0093

,0102

,0124

,0127

,0139

1.0145

1.0142

1.0137

1.0133

1.0130

1.0133

1.0137

1.0117

1.0108

1.0100

1.0076

1.0068

1.0000

0.9589

0.9605

0.9609

0.9641

0.9670

0.9703

0.9753

0.9796

0.9827

0.9879

0.9917

0.9974

1.0020

1.0064

1.0095

1.0145

1.0168

1.0193

1.0202

1.0223

1.0221

1.0216

1.0203

1.0190

1.0183

1.0156

1.0134

1.0112

1.0085

1.0061

1.0029

1.0002

0.9994

0.9968

0.9957

0.9942

0.9938

0.9924

0.9919

0.9924

0.9921

0.9928

0.9918

0.9939

0.9943

0.9950

0.9966

0.9973

0.9987

0.9998

1.0013

1.0020

1.0033

1.0033

1.0037

1.0052

1.0053

1.0061

1.0000

0.2373

0.2380

0.2386

0.2393

0.2401

0.2409

0.2416

0.2424

0.2432

0.2439

. 2448

0.2456

0.2464

0.2472

0.2480

0.2488

0.2496

0.2504

0.2511

0.2519

0.2526

0.2532

0.2538

0.2544

0.2549

0.2554

0.2558

0.2562

0.2565

0.2567

0.2569

0.2570

0.2571

0.2571

0.2571

0.2569

0.2568

0.2566

0.2563

0.2560

0.2557

0.2554

0.2550

0.2547

0.2543

0.2540

0.2536

0.2532

0.2529

0.2525

0.2521

0.2518

0.2515

0.2511

0.2508

0.2505

0.2502

0.2500

0.2498

0.2640

0.2638

0.2635

0.2630

0.2624

0.2618

0.2611

0.2603

0.2596

0.2588

0.2580

0.2572

0.2565

0.2558

0.2551

0.2545

0.2539

0.2534

0.2529

0.2525

0.2521

0.2518

0.2516

0.2514

0.2512

0.2511

0.2510

0.2510

0.2510

0.2510

0.2510

0.2511

0.2512

0.2513

0.2514

0.2515

0.2516

0.2517

0.2518

0.2519

0.2521

0.2522

0.2523

0.2524

0.2524

0.2525

0.2526

0.2526

0.2526

0.2526

0.2526

0.2526

0.2526

0.2526

0.2525

0.2524

0.2524

0.2523

0.2522

0.7486

0.7485

0.7483

0.7482

0.7480

0.7479

0.7477

0.7476

0.7475

0.7474

0.7474

0.7474

0.7474

0.7474

0.7474

0.7475

0.7476

0.7477

0.7478

0.7480

0.7481

0.7483

0.7484

0.7485

0.7487

0.7488

0.7489

0.7489

0.7490

0.7491

0.7491

0.7491

0.7491

0.7492

0.7492

0.7492

0.7492

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7491

0.7492

0.7492

0.7492

0.7493

0.7493

0.7493

0.7494

-131-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*- 0.153 0.5000 e22/€ll= I . 00

R* Sll §12 §22 ^11 ^12 ^22

.850 .0006 .0004 .0007 1.0000 1 .0000 0.0000

.875 .0103 .0107 .0135 1.0000 1 0000 0.0005

.900 .0709 .0761 .0921 1.0000 1 0000 0.0045

.925 2740 2756 .3195 1.0000 1 .0000 0.0194

.950 6538 6475 .7244 1.0000 1 0000 0.0536

.975 1 .1344 1 0934 1 .1833 1.0000 1 0000 0.1070

1 .000 1 5984 1 5270 1 .5815 1.0000 1 0000 0.1704

1 .025 1 9493 1 8327 1 .8352 1.0000 1 0000 0.2330

1 .050 2 1584 2 0189 1 .9574 1.0000 1 0000 0.2884

1 075 2 2663 2 0841 1 9644 1.0000 1 0000 0.3346

1 .100 2 2593 2 0670 1 .8940 1.0000 1 0000 0.3715

1 125 2 2075 9999 1 .7931 1.0000 1 0000 0.4006

1 150 2 1347 9000 1 6788 1.0000 9999 0.4234

1 175 2 0389 7921 1 5535 1.0000 9990 0.4412

1 200 1 9279 6845 1 4383 1.0000 9955 0.4549

1 225 1 8339 5861 1 3380 1.0000 9859 0.4655

1 250 1 7333 4874 1 2464 1.0000 9662 0.4736

1 275 1 6506 3990 1 1686 1.0000 9346 0.4797

1 300 1 5642 3228 1 1013 0.9999 8930 0.4843

1 325 1 4813 2519 1 0415 0.9992 8458 0.4875

1 350 1 4224 1914 1 0032 0.9970 7977 0.4899

1 375 1 3491 1383 9627 0.9913 7523 0.4916

1 400 1 3054 0948 9366 0.9797 7116 0.4927

1 425 1 2430 0563 9131 0.9600 6761 0.4934

1 450 1 2046 0242 8996 0.9321 6459 0.4938

1 475 1 1628 9950 8900 0.8973 6206 0.4940

1 500 1 1350 9706 8850 0.8580 5994 0.4940

1 525 1 0966 9547 8804 0.8172 5818 0.4938

1 550 1 0708 9365 8764 0.7772 5671 0.4935

1 575 1 0342 9239 8789 0.7397 5550 0.4931

1 600 1 0138 9173 8758 0.7055 5451 0.4926

1 625 9943 9091 8812 0.6749 5369 0.4919

1 650 9728 9057 8823 0.6481 5302 0.4912

1 675 9633 9022 8841 0.6247 5247 0.4904

1 700 9447 9005 8888 0.6044 5203 0.4894

1 725 9396 9008 8932 0.5869 5168 0.4885

1 750 9251 9011 9047 0.5717 5140 0.4875

1 775 9116 8986 9143 0.5587 5118 0.4866

1 800 8984 8974 9275 0.5474 5101 0.4858

1 825 9014 8960 9419 0.5376 5088 0.4852

1 850 8956 8982 9571 0.5292 5078 0.4847

1 875 8959 8965 9731 0.5219 5071 0.4844

1 900 8943 8990 9913 0.5158 5066 0.4843

1 925 8818 9027 1 0057 0.5104 5063 0.4844

1 950 8895 9039 1 0236 0.5059 5061 0.4848

1 975 8870 9070 1 0393 0.5020 5060 0.4853

2 000 8850 9118 1 0501 0.4987 5060 0.4860

2 025 8919 9165 1 0620 0.4960 5061 0.4869

2 050 8901 9228- 1 0690 0.4937 5063 0.4878

2 075 8863 9330 1 0697 0.4918 5066 0.4888

2 100 8899 9413 1 0690 0.4902 5069 0.4898

2 125 8839 9497 1 0665 0.4889 5073 0.4907

2 150 8883 9593 1 0651 0.4879 5077 0.4916

2 175 8871 9703 1 0569 0.4871 5082 0.4925

2 200 8877 9802 1 0498 0.4864 5088 0.4933

2 225 8922 9918 1 0406 0.4860 5094 0.4940

2 250 8920 1 0039 1 0347 0.4857 5101 0.4946

2 275 8890 1 0121 1 0263 0.4856 5108 0.4952

2 300 8872 1 0252 1 0188 0.4855 5115 0.4956

2 .325 8931 1 0325 1 0120 0.4855 5123 0.4960

2 350 8879 1 0387 1 0037 0.4856 5129 0.4963

2 375 8921 1 0466 9967 0.4857 0. 5136 0.4965

2 400 8950 1 0503 9944 0.4859 0. 5142 0.4967

2 .425 8969 1 0536 9916 0.4861 0. 5147 0.4969

2 450 8983 1 0571 9884 0.4864 0. 5151 0.4970

2 475 9064 1 0561 9848 0.4868 0. 5154 0.4970

2 500 9093 1 0545 9834 0.4872 0. 5156 0.4971

2 .525 9145 1 0526 9821 0.4876 0. 5157 0.4971

132
2.550

2.575

600

625

650

675

700

725

750

775

800

2.825

2.850

2.875

2.900

2.925

950

975

000

025

050

075

100

3.125

3.150

3.175

3.200

3.225

,250

,275

,300

,325

,350

,375

,400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

,600

625

,650

675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

900

.925

.950

.975

.000

0.9132

0.9218

0.9236

0.9277

0.9361

0.9391

0.9424

0.9549

0.9592

0.9648

0.9708

0.9778

0.9846

0.9884

1.0005

1.0066

1.0131

1.0212

1.0295

1.0309

1.0368

1.0385

1.0485

1.0469

1.0505

1.0492

1.0515

1.0508

1.0525

1.0503

1.0458

1.0453

1.0468

1.0384

1.0370

1.0375

1.0322

1.0331

1.0294

1.0253

1.0193

1.0219

1.0140

1.0106

1.0086

1.0048

1.0060

1.0032

1.0008

1.0000

0.9993

0.9969

0.9950

0.9932

0.9901

0.9922

0.9917

0.9895

1.0000

1.0485

0451

,0415

,0379

,0318

,0283-

,0231

1.0167

1.0139

1.0089

1.0045

1.0001

0.9994

0.9953

0.9929

0.9899

0.9875

0.9878

0.9871

0.9863

0.9857

0.9840

0.9861

0.9861

0.9865

0.9868

0.9872

0.9867

0.9891

0.9896

0.9889

0.9914

0.9925

0.9923

0.9936

0.9948

0.9960

0.9985

0.9988

1.0009

1.0009

1.0019

1.0020

1 . 0044

1.0045

1.0046

1.0049

1.0076

1.0053

1.0070

1.0064

1.0073

1.0067

1.0068

1.0061

1.0052

1.0058

1 . 0040

1.0000

0.9816

0.9809

0.9812

0.9833

0.9842

0.9846

0.9870

0.9888

0.9914

0.9938

0.9955

0.9979

0.9994

1.0005

1.0033

1.0055

1.0088

1.0101

1.0111

1.0103

1.0114

1.0111

1.0113

1.0097

1.0090

1.0086

0067

0068

0060

0061

0041

1.0020

1.0027

1.0012

1.0006

1.0006

0.9988

0.9988

0.9994

0.9985

0.9981

0.9986

0.9998

0.9986

1.0006

0.9986

0.9997

1.0006

1.0008

1.0011

1.0016

1.0011

1.0014

1.0009

1.0027

1.0033

1.0040

1.0039

1.0000

0.4880

0.4884

0.4889

0.4894

0.4899

0.4904

0.4909

0.4915

0.4922

0.4928

0.4935

0.4942

0.4949

0.4956

0.4963

0.4970

0.4978

0.4985

0.4993

0.5001

0.5008

0.5015

0.5022

0.5028

0.5034

0.5040

0.5045

0.5050

0.5054

0.5057

0.5060

0.5062

0.5064

0.5065

0.5065

0.5065

0.5064

0.5063

0.5061

0.5060

0.5057

0.5055

0.5052

0.5049

0.5045

0.5042

0.5038

0.5035

0.5032

0.5028

0.5025

0.5022

0.5019

0.5016

0.5014

0.5011

0.5009

0.5006

0.5005

0.5156

0.5155

0.5152

0.5148

0.5143

0.5138

0.5131

0.5124

0.5117

0.5110

0.5102

0.5095

0.5088

0.5081

0.5075

0.5069

0.5063

0.5058

0.5054

0.5049

0.5046

0.5043

0.5040

0.5037

0.5036

0.5034

0.5033

0.5032

0.5031

0.5030

0.5030

0.5029

0.5029

0.5029

0.5029

0.5029

0.5029

0.5029

0.5030

0.5030

0.5030

0.5030

0.5031

0.5031

0.5031

0.5031

0.5031

0.5031

0.5031

0.5031

0.5030

0.5030

0.5030

0.5030

0.5029

0.5028

0.5028

0.5027

0.5026

0.4971

0.4971

0.4971

0,4970

0.4970

0.4970

0.4969

0.4969

0.4969

0.4969

0.4969

0.4969

0.4970

0.4970

0.4970

0.4971

0.4972

0.4973

0.4974

0.4975

0.4977

0.4978

0.4979

0.4980

0.4981

0.4982

0.4983

0.4984

0.4985

0.4985

0.4986

0.4986

0.4987

0.4987

0.4988

0.4988

0.4988

0.4988

0.4988

0.4989

0.4989

0.4989

0.4989

0.4989

0.4990

0.4990

0.4990

0.4990

0.4990

0.4991

0.4991

0.4991

0.4991

0.4992

0.4992

0.4992

0.4992

0.4993

0.4993

133-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.218 x = 0.7500 e22/€ll= I. 00

R* '11 '12 '22 11 12 22

850 0005 0004 0006 1 .0000 1 .0000 .0000

875 0088 0095 0118 1 .0000 1 .0000 .0002

900 0662 0670 0755 1 .0000 1 .0000 .0014

925 2455 2461 2666 1 .0000 1 .0000 .0060

950 5817 5701 5968 1 .0000 1 0000 .0167

975 1 0181 9812 9915 1 .0000 1 0000 0347

1 000 1 4386 1 3664 1 3320 1 .0000 1 0000 0581

1 025 1 7652 1 6557 1 5525 1 0000 1 0000 0836

1 050 1 9741 1 8186 1 6762 1 0000 1 0000 1086

1 075 2 0755 1 8949 1 6989 1 0000 1 0000 1314

1 100 2 0747 1 8890 1 6657 1 0000 1 0000 1512

1 125 2 0478 1 8344 1 5880 1 0000 1 0000 1679

1 150 1 9711 1 7547 1 4998 1 0000 1 0000 .1815

1 175 1 8889 1 6674 1 4104 1 0000 9997 .1926

1 200 1 7933 1 5757 1 3219 1 0000 9986 .2015

1 225 1 7114 1 4883 1 2415 1 0000 9957 .2084

1 250 1 6241 1 4087 1 1797 1 0000 .9896 .2138

1 275 1 5419 1 3384 1 1243 1 0000 9794 .2180

1 300 1 4669 1 2683 1 0734 1 0000 9653 .2213

1 325 1 3980 1 2159 1 0314 9998 9481 .2237

1 350 1 3455 1 1618 1 0004 9991 9292 2256

1 375 1 2903 1 1189 9779 9972 9100 2271

1 400 1 2445 1 0813 9661 9934 8914 2283

1 425 1 2030 1 0502 9630 9870 8741 2294

1 450 1 1625 1 0260 9595 9774 8583 2304

1 475 1 1356 1 0031 9602 9649 8443 2313

1 500 1 1007 9888 9688 9500 8321 2323

1 525 1 0704 9774 9727 9336 8216 2332

1 550 1 0513 9697 9754 9165 8126 2342

1 575 1 0252 9693 9815 8994 8050 2351

1 600 1 0069 9661 9836 8829 7985 2360

1 625 9951 9659 9821 8674 7932 2368

1 650 9782 9712 9809 8530 7887 2375

1 675 9662 9757 9770 8399 7850 2381

1 700 9572 9770 9733 8281 7820 2385

1 725 9498 9766 9665 8176 7795 2388

1 750 9430 9758 9691 8082 7774 2390

1 775 9391 9765 9699 7999 7757 2392

1 800 9396 9778 9658 7926 7744 2393

1 825 9340 9745 9688 7862 7733 2394

1 850 9362 9736 9700 7806 7723 2395

1 875 9341 9693 9764 7757 7714 2396

1 900 9344 9691 9789 7715 7706 2397

1 925 9377 9638 9856 7678 7699 2398

1 950 9430 9634 9970 7647 7692 2401

1 975 9442 9600 1 0006 7620 7685 2404

2 000 9486 9599 1 0065 7598 7677 2407

2 025 9519 9574 1 0119 7579 7670 2410

2 050 9505 9580 1 0176 7563 7663 2414

2 075 9545 9567 1 0203 7550 7656 2418

2 100 9566 9566 1 0200 7539 7649 2422

2 125 9575 9629 1 0214 7531 7642 2426

2 150 9571 9672 1 0219 7524 7636 2430

2 175 9583 9699 1 0232 7518 7630 2434

2 200 9584 9741 1 0207 7514 7625 2437

2 225 9522 9787 1 0181 7510 7621 0. 2441

2 250 9545 9847 1 0145 7508 7617 0. 2444

2 275 9535 9911 1 0109 7505 7614 0. 2446

2 300 9522 9959 1 0062 7504 7612 0. 2449

2 325 9496 0003 1 0051 7502 7610 0. 2451

2 350 9485 0068 1 0021 7501 7609 0. 2452

2 375 9496 0101 1 0020 7500 0. 7607 0. 2454

2 400 9483 0125 1 0005 7499 0. 7607 0. 2456

2 425 9442 0156 1 0002 7498 0. 7606 0. 2457

2 450 9425 0180 1 0016 7497 0. 7606 0. 2459

2 475 9437 0162 1 0001 7495 0. 7605 0. 2460

2 500 9447 0173 9990 7494 0. 7604 0. 2461

2 525 9465 0179 9981 0. 7492 0. 7603 0. 2462

134-
2 .550 .9433 1 .0167 1 .0000 7491 7602 2463 2 .575 .9458 1 .0148 1 .0021 7489 7601 2465 2 .600 .9491 1 .0138 1 .0005 7488 7599 2466 2 .625 .9473 1 .0131 1 .0018 7487 7597 2467 2 .650 .9529 1 .0113 1 .0024 7486 7595 2468 2 .675 .9545 1 .0104 1 .0025 7485 7592 2469 2 .700 .9550 1 .0090 1 .0028 7484 7590 2470 2 .725 .9606 1 .0076 1 .0054 7484 7587 2471 2 .750 .9640 1 0063 1 .0034 7483 7584 2472 2 .775 .9661 1 0035 1 .0045 7483 7581 2473 2 800 .9710 1 0032 1 0055 7484 7578 2474 2 825 .9740 1 0023 1 0032 7484 7575 2475 2 850 .9769 1 0021 1 0034 7485 7572 2475 2 875 9828 1 0037 1 0028 7486 7569 2476 2 900 .9863 1 0012 1 0008 7487 7566 2477 2 925 9917 1 0011 1 0029 7489 7564 2477 2 950 9957 1 0008 1 0028 7491 7561 2478 2 975 9988 1 0001 1 0053 7493 7559 2479 3 000 1 0026 9997 1 0051 7495 7556 2479 3 025 1 0074 1 0004 1 0042 7497 7554 2480 3 050 1 0093 9996 1 0020 7499 7553 2481 3 075 1 0104 1 0000 1 0042 7502 7551 2481 3 100 1 0134 9983 1 0047 7504 7549 2482 3 125 1 0171 9994 1 0031 7507 7548 2483 3 150 1 0169 9989 1 0040 7509 7547 2483 3 175 1 0166 9999 1 0043 7512 7545 2484 3 200 1 0190 1 0002 1 0013 7514 7544 2484 3 225 1 0199 9975 1 0043 7516 7543 2485 3 250 1 0214 9994 1 0045 7518 7542 2485 3 275 1 0207 9986 1 0039 7520 7541 2486 3 300 1 0230 9998 1 0046 7521 7540 2486 3 325 1 0183 9985 1 0033 7523 7539 2487 3 350 1 0180 9983 1 0015 7524 7538 2487 3 375 1 0199 9997 1 0005 7525 7537 2488 3 400 1 0171 9980 1 0026 7526 7537 2488 3 425 1 0144 9980 1 0026 7526 7536 2488 3 450 1 0145 9990 1 0043 7526 7535 2489 3 475 1 0134 9978 1 0040 7526 7534 2489 3 500 1 0114 1 0004 1 0030 7526 7533 2489 3 525 1 0100 1 0002 1 0007 7526 7532 2490 3 550 1 0103 9996 1 0025 7526 7532 2490 3 575 1 0087 1 0005 1 0019 7525 7531 2490 3 600 1 0086 9992 1 0031 7524 7530 2491 3 625 1 0076 1 0007 1 0044 7524 7529 2491 3 650 1 0041 1 0002 1 0021 7523 7529 2491 3 675 1 0046 1 0006 1 0044 7522 7528 2492 3 700 1 0025 1 0015 1 0041 7521 7527 2492 3 725 1 0020 1 0004 1 0070 7520 7526 2492 3 750 1 0021 1 0011 1 0050 7519 7526 2493 3 775 1 0012 1 0015 1 0034 7518 7525 2493 3 800 1 0007 1 0014 1 0052 7517 7525 2493 3 825 9997 1 0002 1 0038 7516 7524 2494 3 850 9997 1 0015 1 0050 7515 7523 2494 3 875 9982 1 0017 1 0058 7514 7523 2494 3 900 1 0000 1 0020 1 0046 7513 7523 2494 3 925 9998 1 0013 1 0061 7513 7522 2495 3 950 1 0001 1 0008 1 0000 7512 7522 2495 3 975 9989 1 0018 1 0000 7511 7521 2495 4 000 1 0000 1 0000 1 0000 7511 7521 2495

135
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-2 . a22/all- 2.00 p*- 0.280 x^- 0.9001 622/ell- 1.00

R* '11 '12 '22 11 12 22

.850 .0004 .0004 .0003 1 .0000 1 .0000 0.0000

.875 0077 .0078 .0082 1 .0000 1 .0000 0.0000

.900 .0570 .0559 .0529 1 .0000 1 .0000 0.0004

.925 2148 .2087 .1967 1 .0000 1 .0000 0.0016

.950 5108 .4907 .4443 1 .0000 1 .0000 0.0046

.975 8909 .8488 .7486 1 .0000 1 .0000 0.0097

1 .000 2647 1 .1880 1 .0272 1 .0000 1 .0000 0.0167

1 .025 .5626 1 .4528 1 .2361 1 .0000 1 .0000 0.0248

1 050 7557 1 .6130 1 .3412 1 .0000 1 .0000 0.0331

1 075 8470 1 .6887 1 .3896 1 .0000 1 .0000 0.0410

1 .100 8717 1 .6917 1 .3755 1 .0000 1 .0000 0.0482

1 .125 8457 1 .6534 1 .3462 1 .0000 1 .0000 0.0545

1 150 7864 1 .5924 1 .2832 1 .0000 1 .0000 0.0598

1 175 7176 1 .5249 1 .2226 1 .0000 .9999 0.0643

1 200 6384 1 .4516 1 .1686 1 .0000 .9996 0.0679

1 225 5633 1 .3809 1 .1156 1 .0000 .9988 0.0709

1 250 4928 1 .3137 1 .0742 1 .0000 .9972 0.0732

1 275 4259 1 2566 1 .0323 1 .0000 .9943 0.0751

1 300 3622 1 2001 1 0019 1 .0000 9903 0.0766

1 325 3070 1 1537 .9814 .9999 .9852 0.0778

1 350 2577 1 1174 .9641 .9997 9793 0.0788

1 375 2129 1 0830 9574 9991 9731 0.0797

1 400 1709 1 0520 9602 9980 9669 0.0805

1 425 1377 1 0343 9590 9959 9609 0.0813

1 450 1061 1 0123 9735 9929 9553 0.0820

1 475 0797 1 0001 9899 9888 9502 0.0828

1 500 0559 9896 1 0102 9838 9455 0.0837

1 525 0344 9860 1 0281 9782 9414 0.0846

1 550 0187 9832 1 0369 9722 9378 0.0855

1 575 0036 9864 1 0378 9661 9347 0.0864

1 600 9873 9923 1 0443 9600 9321 0.0873

1 625 9753 9968 1 0405 9542 9298 0.0881

1 650 9657 1 0060 1 0412 9486 9279 0.0889

1 675 9599 1 0123 1 0369 9435 9262 0.0896

1 700 9532 1 0214 1 0367 9387 9249 0.0902

1 725 9501 1 0258 1 0303 9344 9237 0.0908

1 750 9485 1 0285 1 0262 9306 9227 0.0914

1 775 9460 1 0324 1 0183 9271 9219 0.0918

1 800 9470 1 0276 1 0200 9240 9212 0.0922

1 825 9482 1 0276 1 0107 9212 9205 0.0926

1 850 9522 1 0237 1 0063 9188 9199 0.0929

1 875 9563 1 0205 1 0068 9167 9193 0.0932

1 900 9610 1 0169 1 0011 9149 9187 0.0935

1 925 9666 1 0124 1 0032 9133 9182 0.0938

1 950 9723 1 0076 1 0032 9119 9176 0.0940

1 975 9782 1 0045 1 0032 9108 9169 0.0943

2 000 9853 9984 1 0062 9098 9163 0.0945

2 025 9901 9942 1 0077 9090 9156 0.0947

2 050 9954 9920 1 0085 9083 9149 0.0949

2 075 9983 9889 1 0102 9077 9142 0.0951

2 100 0005 9896 1 0081 9072 9136 0.0954

2 125 0042 9863 1 0083 9068 9129 0.0955

2 150 0050 9856 1 0188 9065 9123 0.0957

2 175 0057 9849 1 0128 9063 0. 9117 0.0959

2 200 0041 9875 1 0086 9060 0. 9111 0.0961

2 225 0042 9883 1 0075 9058 0. 9106 0.0963

2 250 0031 9880 1 0072 9057 0. 9101 0.0964

2 275 0007 9914 1 0070 9055 0. 9096 0.0965

2 300 9992 9926 1 0072 9054 0. 9092 0.0967

2 325 9973 9933 1 0038 0. 9053 0. 9088 0.0968

2 350 9941 9961 1 0016 0. 9052 0. 9084 0.0969

2 375 9918 9991 1 0042 0. 9050 0. 9081 0.0970

2 400 9884 9999 1 0014 0. 9049 0. 9078 0.0971

2 425 9867 9992 1 0022 0. 9047 0. 9075 0.0972

2 450 9844 9993 1. 0041 0. 9045 0. 9072 0.0973

2 475 9826 1 0004 1. 0063 0. 9044 0. 9070 0.0973

2 500 9824 9995 1. 0048 0. 9042 0. 9068 0.0974

2 525 9795 9993 1. 0059 0. 9040 0. 9065 0.0975

136
2.550

2.575

2.600

2.625

2.650

2.675

2.700

725

750

775

800

2.825

850

.875

.900

,925

.950

2.975

3.000

3.025

3.050

3.075

100

125

150

175

200

225

250

275

300

325

350

375

3.400

3.425

3.450

3.475

,500

.525

.550

.575

,600

.625

.650

.675

.700

,725

,750

,775

800

3.825

850

875

900

925

950

975

000

0.9781

0.9790

0.9775

0.9769

0.9769

0.9770

0.9772

0.9773

0.9783

0.9799

0.9815

0.9827

0.9838

0.9858

0.9885

0.9902

0.9919

0.9929

0.9951

0.9967

0.9976

0.9993

1.0010

1.0016

1.0034

1.0034

0040

0047

0043

0049

0050

1.0052

1.0049

1.0047

1.0047

1.0047

0041

0029

0032

0033

0020

0014

0021

0026

0013

0007

0007

1.0005

0.9996

1.0001

1.0003

1.0000

1.0005

1.0000

0.9994

1.0000

1.0002

0.9997

1.0000

0.9990

0.9996

0.9997

0.9997

0.9989

0.9987

0.9990

0.9990

0.9994

0.9982

0.9980

0.9991

0.9987

0.9993

0.9988

0.9978

0.9989

1.0001

0.9985

1.0011

0.9994

0.9994

0010

0005

0001

0007

0009

1.0015

1.0021

1.0018

1.0006

1.0025

1.0054

1.0045

0016

0007

0016

0022

0018

1.0018

1.0014

1.0016

1.0020

1.0009

1.0013

0.9998.

0.9998

1.0011

1.0003

1.0008

1.0018

1.0011

1.0013

1.0014

1.0018

1.0008

1.0004

1.0003

1.0010

1.0004

1.0011

1.0000

0025

0065

0022

0.9996

,0036

1.0034

1.0029

1.0033

1.0028

1.0038

1.0038

1.0040

1.0041

1.0027

1.0023

.0020

.0011

.0003

.0012

.0011

0.9995

1.0024

1.0038

1.0043

1.0023

1.0035

,0035

,0026

.0056

.0022

.0030

.0076

.0057

.0037

.0025

.0050

1.0050

1.0034

1.0035

1.0036

1.0060

1.0034

1.0047

1.0023

1.0038

1.0049

1.0044

1.0000

0.9999

1.0042

0.9992

1.0050

1.0020

1.0043

1.0041

1.0000

0.9037

0.9035

0.9033

0.9031

0.9029

0.9027

0.9025

0.9023

0.9021

0.9019

0.9018

0.9017

0.9015

0.9014

0.9013

0.9013

0.9012

0.9011

0.9011

0.9011

0.9011

0.9010

0.9010

0.9010

0.9011

0.9011

0.9011

0.9011

0.9011

0.9011

0.9011

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9011

0.9011

0.9011

0.9011

0.9011

0.9011

0.9010

0.9010

0.9010

0.9010

0.9010

0.9010

0.9009

0.9009

0.9009

0.9009

0.9009

0.9063

0.9062

0.9060

0.9058

0.9056

0.9055

0.9053

0.9051

0.9050

0.9048

0.9046

0.9045

0.9044

0.9042

0.9041

0.9039

0.9038

0.9037

0.9036

0.9035

0.9034

0.9033

0.9032

0.9031

0.9031

0.9030

0.9029

0.9028

0.9028

0.9027

0.9027

0.9026

0.9025

0.9025

0.9024

0.9024

0.9023

0.9022

0.9022

0.9022

0.9021

0.9021

0.9020

0.9020

0.9019

0.9019

0.9019

0.9018

0.9018

0.9017

0.9017

0.9017

0.9016

0.9016

0.9016

0.9015

0.9015

0.9015

0.9015

0.0976

0.0977

0.0977

0.0978

0.0979

0.0979

0.0980

0.0980

0.0981

0.0981

0.0982

0.0982

0.0983

0.0983

0.0984

0.0984

0.0985

0.0985

0.0985

0.0986

0.0986

0.0986

0.0987

0.0987

0.0987

0.0988

0.0988

0.0988

0.0989

0.0989

0.0989

0.0990

0.0990

0.0990

0.0990

0.0991

0.0991

0.0991

0.0991

0.0992

0.0992

0.0992

0.0992

0.0992

0.0993

0.0993

0.0993

0.0993

0.0993

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0995

0.0995

137
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . all/a\\= 2.00 p*= 0.298 X = 0. 9502 €22/ell=- 1. 00

R* Sll ^12 ^22 ^11 ^12 ^22

0.850 0.0003 0.0004 . 0004 1.0000 1.0000 0.0000

0.875 0.0070 0.0073 0.0074 1.0000 1.0000 0.0000

0.900 0.0527 0.0515 0.0460 1.0000 1.0000 0.0002

0.925 0.1984 0.1920 0.1584 1 . 0000 1.0000 0.0007

0.950 0.4741 0.4485 0.3834 1.0000 1.0000 0.0019

0.975 0.8312 0.7862 0.6491 1.0000 1.0000 0.0042

1.000 1.1858 1.1070 0.8858 1.0000 1.0000 0.0072

1.025 1.4651 1.3554 1.0858 1.0000 1.0000 0.0108

1.050 1.6491 1.5064 1.1864 1.0000 1.0000 0.0145

1.075 1.7453 1.5858 1.2412 1.0000 1.0000 0.0181

1.100 1.7689 1.5933 1.2564 1 . 0000 1.0000 0.0215

1.125 1.7474 1.5657 1.2322 1.0000 1.0000 0.0245

1.150 1.6984 1.5163 1.1853 1.0000 1.0000 0.0271

1.175 1.6382 1.4544 1.1417 1.0000 1.0000 0.0292

1.200 1.5715 1.3908 1.0849 1.0000 0.9998 0.0310

1.225 1.5021 1.3247 1.0419 1.0000 0.9995 0.0325

1.250 1.4352 1.2695 0.9940 1.0000 0.9988 0.0336

1.275 1.3749 1.2168 0.9917 1.0000 0.9976 0.0346

1.300 1.3196 1.1662 0.9506 1.0000 0.9958 0.0354

1.325 1.2684 1.1272 0.9350 1.0000 0.9936 0.0360

1.350 1.2199 1.0889 0.9319 0.9999 0.9911 0.0365

1.375 1.1823 1.0621 0.9362 0.9996 0.9883 0.0370

1.400 1.1450 1.0373 0.9328 0.9991 0.9855 0.0375

1.425 1.1134 1.0147 0.9449 0.9981 0.9828 0.0379

1.450 1.0847 0.9992 0.9614 0.9968 0.9802 0.0384

1.475 1.0606 0.9917 0.9807 0.9949 0.9777 0.0388

1.500 1.0394 0.9829 0.9900 0.9926 0.9755 0.0393

1.525 1.0200 0.9794 1.0162 0.9900 0.9736 0.0398

1.550 1 . 0044 0.9830 1.0235 0.9872 0.9718 . 0404

1.575 0.9896 0.9847 1.0415 0.9843 0.9703 0.0409

1.600 0.9782 0.9937 1.0414 0.9814 0.9690 0.0414

1.625 0.9686 1.0011 1.0385 0.9786 0.9679 0.0419

1.650 0.9625 1.0099 1 . 0445 0.9759 0.9669 0.0424

1.675 0.9562 1.0181 1.0451 0.9734 0.9661 0.0428

1.700 0.9512 1.0260 1.0418 0.9711 0.9654 0.0432

1.725 0.9490 1.0312 1.0307 0.9690 0.9648 0.0436

1.750 0.9485 1.0382 1.0252 0.9671 0.9643 0.0439

1.775 0.9474 1.0410 1.0236 0.9653 0.9639 0.0442

1.800 0.9481 1.0434 1.0154 0.9638 0.9635 0.0445

1.825 0.9520 1.0413 1.0127 0.9624 0.9631 0.0447

1.850 0.9553 1.0407 1.0214 0.9612 0.9628 0.0450

1.875 0.9597 1.0375 1.0097 0.9601 0.9624 0.0452

1.900 0.9656 1.0315 1.0062 0.9592 0.9621 0.0454

1.925 0.9721 1.0289 1.0091 0.9584 0.9618 0.0456

1.950 0.9788 1.0245 1.0098 0.9577 0.9614 0.0458

1.975 0.9853 1.0186 1.0158 0.9571 0.9610 0.0459

2.000 0.9914 1.0141 1.0111 0.9566 0.9607 0.0461

2.025 0.9979 1.0114 1.0208 0.9562 0.9603 0.0463

2.050 1.0035 1.0071 1.0197 0.9558 0.9599 0.0464

2.075 1.0086 1.0027 1.0285 0.9555 0.9595 0.0466

2.100 1.0116 1.0000 1.0283 0.9552 0.9591 0.0468

2.125 1.0146 1.0000 1.0296 0.9550 0.9587 0.0469

2.150 1.0172 0.9983 1.0229 0.9549 0.9583 0.0471

2.175 1.0180 0.9991 1.0220 0.9547 0.9580 0.0472

2.200 1.0169 0.9946 1.0149 0.9546 0.9576 0.0473

2.225 1.0172 0.9961 1.0143 0.9545 0.9573 0.0474

2.250 1.0154 0.9970 1.0072 0.9544 0.9570 0.0475

2.275 1.0143 0.9962 1.0136 0.9543 0.9567 0.0476

2.300 1.0124 0.9969 1.0066 0.9542 0.9564 0.0477

2.325 1.0110 0.9972 1.0074 0.9541 0.9562 0.0478

2.350 1.0084 1.0000 1.0065 0.9540 0.9559 0.0479

2.375 1.0050 0.9982 1.0023 0.9540 0.9557 0.0479

2.400 1.0032 1.0001 1.0058 0.9539 0.9555 0.0480

2.425 1.0009 0.9975 1.0019 0.9538 0.9553 0.0480

2.450 0.9982 0.9980 1.0049 0.9536 0.9551 0.0481

2.475 0.9964 1.0027 0.9976 0.9535 0.9550 0.0482

2.500 0.9947 1.0006 1.0027 0.9534 0.9548 0.0482

2.525 0.9934 1.0018 1.0001 0.9533 0.9546 0.0483

138
2.550

2.575

.600

,625

,650

,675

,700

2.115

2.750

2.775

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

,250

,275

,300

.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

.700

.725

.750

.775

.800

.825

.850

.875

.900

.925

.950

3.975

4.000

0.9918

0.9906

0.9907

0.9892

0.9887

0.9885

0.9881

0.9868

0.9886

0.9885

0.9890

0.9896

0.9897

0.9905

0.9927

0.9924

0.9938

0.9952

0.9961

0.9970

0.9978

0.9993

0.9990

0.9995

1.0022

1.0032

1.0010

0021

0011

0019

0012

0008

0015

0008

0015

0021

1.0019

1.0024

1.0020

1.0014

1.0012

1.0012

1.0013

1.0009

1.0014

1.0012

1.0006

1.0006

1.0000

0.9997

0.9998

0.9997

0.9996

0.9993

0.9993

0.9998

0.9994

0.9991

0.9990

0.9995

0.9999

0.9994

0.9997

1.0000

1.0000

0.9995

1.0011

0.9994

0.9995

0.9992

0.9982

0.9992

0.9995

1.0004

0.9997

0.9988

0.9996

0.9998

1.0006

0.9989

1.0016

1.0003

1.0018

1.0019

1.0004

0.9996

0.9994

0.9985

0.9992

0.9996

1 . 0009

1.0003

1.0001

0.9999

1.0001

1.0005

1.0002

1.0006

0.9998

1.0001

1.0003

1.0000

1.0001

1.0013

0.9995

0.9997

1.0007

1.0003

1.0014

1.0003

1.0006

1.0005

0.9997

0.9993

1.0000

0.9989

1.0001

1.0000

1.0058

1.0066

1.0066

1.0109

1.0075

1.0117

1.0083

1.0101

1.0085

1.0092

1.0115

1 . 0040

1.0093

1.0091

1.0049

1.0098

1.0092

1.0064

1.0073

1.0096

1.0161

1.0072

1.0094

1.0111

1.0054

1.0111

1.0108

1.0130

1.0075

1.0088

1.0078

1.0106

1.0097

1.0138

1.0111

1.0096

1.0067

1.0135

1.0096

1.0074

1.0125

1.0076

1.0060

1.0090

1.0080

1.0038

1.0090

1.0028

1.0006

1.0065

1.0035

1.0059

1.0032

1.0027

1.0043

1.0050

1.0003

1.0000

1.0000

0.9531

0.9530

0.9529

0.9527

0.9526

0.9525

0.9523

0.9522

0.9521

0.9520

0.9518

0.9517

0.9516

0.9516

0.9515

0.9514

0.9513

0.9513

0.9512

0.9512

0.9511

0.9511

0.9511

0.9511

0.9510

0.9510

0.9510

0.9510

0.9510

0.9509

0.9509

0.9509

0.9509

0.9509

0.9509

0.9509

0.9509

0.9509

0.9509

0.9508

0.9508

0.9508

0.9508

0.9508

0.9508

0.9508

0.9508

0.9508

0.9507

0.9507

0.9507

0.9507

0.9507

0.9507

0.9507

0.9507

0.9506

0.9506

0.9506

0.9545

0.9544

0.9542

0.9541

0.9540

0.9539

0.9537

0.9536

0.9535

0.9534

0.9532

0.9531

0.9530

0.9529

0.9528

0.9527

0.9526

0.9525

0.9525

0.9524

0.9523

0.9523

0.9522

0.9522

0.9521

0.9521

0.9520

0.9520

0.9519

0.9519

0.9518

0.9518

0.9518

0.9517

0.9517

0.9517

0.9516

0.9516

0.9515

0.9515

0.9515

0.9514

0.9514

0.9514

0.9513

0.9513

0.9513

0.9512

0.9512

0.9512

0.9512

0.9511

0.9511

0.9511

0.9511

0.9510

0.9510

0.9510

0.9510

0.0483

0.0484

0.0484

0.0485

0.0485

0.0486

0.0486

0.0487

0.0487

0.0487

0.0488

0.0488

0.0488

0.0489

0.0489

0.0489

0.0490

0.0490

0.0490

0.0491

0.0491

0.0491

0.0492

0.0492

0.0492

0.0492

0.0493

0.0493

0.0493

0.0493

0.0493

0.0494

0.0494

0.0494

0.0494

0.0494

0.0495

0.0495

0.0495

0.0495

0.0495

0.0495

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0497

0,0497

0.0497

0.0497

0.0497

0.0497

139
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2 00 p*- 0.105 x^-0. 0498 €2 2/€ll- 1. 50

R* Hi ^12 522 ^11 ^12 ^22

0.850 0033 0002 0000 1.0000 1.0000 0000

0.875 Olio 0039 0015 1.0000 1.0000 0008

0.900 1071 0444 0243 1.0000 1.0000 0148

0.925 3409 2154 1564 1.0000 1.0000 1084

0.950 6958 6081 5194 1.0000 1.0000 3433

0.975 1 2716 1 1560 1 1024 1.0000 1.0000 5935

1.000 1 8031 1 7220 1 7227 1.0000 1.0000 7516

1.025 2 1877 2 1605 2 1958 1.0000 1.0000 8359

1.050 2 3930 2 4071 2 4411 1.0000 1.0000 8812

1.075 2 5719 2 4819 2 4791 1.0000 1.0000 9069

1.100 2 4713 2 4463 2 3808 1.0000 1.0000 9225

1.125 2 4103 2 3314 2 2058 1.0000 1.0000 9325

1.150 2 3085 2 1890 2 0023 1.0000 0.9999 9392

1.175 2 1746 2 0299 1 7984 1.0000 0.9982 9437

1.200 2 0331 8658 1 6109 1.0000 0.9852 9470

1.225 7782 7210 1 4436 1.0000 0.9282 9493

1.250 7896 5828 1 3017 1.0000 0.7881 9509

1.275 6237 4603 1 1788 0.9998 0.5885 9521

1.300 5761 3533 1 0753 0.9992 0.4065 9529

1.325 4801 2576 9899 0.9946 0.2794 9534

1.350 3458 1798 9189 0.9732 0.1996 9537

1.375 2820 1045 8609 0.9096 0.1501 9539

1.400 2797 0461- 8135 0.7833 0.1188 9538

1.425 2162 9929 7755 0.6149 0.0983 9537

1.450 1786 9476 7465 0.4543 0.0844 9534

1.475 1180 9093 7252 0.3305 0.0746 9530

1.500 0799 8785 7096 . 2444 0.0675 9526

1.525 0863 8481 7008 0.1866 0.0623 9521

1.550 0294 8252 6970 0.1478 0.0583 9515

1.575 9883 8059 6979 0.1212 0.0553 9509

1.600 9308 7916 7036 0.1025 0.0530 9502

1.625 9850 7764 7143 0.0891 0.0512 9496

1.650 8885 7686 7301 0.0791 0.0498 9489

1.675 8764 7626 7496 0.0715 0.0487 9482

1.700 8583 7580 7733 0.0657 0.0479 9476

1.725 8449 7569 8022 0.0611 0.0473 9470

1.750 8863 7585 8347 0.0575 0.0468 9465

1.775 8412 7610 8690 0.0547 0.0465 9460

1.800 7987 7659 9061 0.0523 0.0463 9456

1.825 8197 7747 9434 0.0504 0.0461 9453

1.850 8223 7858 9816 0.0488 0.0461 9451

1.875 8160 7993 0191 0.0475 0.0462 9451

1.900 7839 8101 0558 0.0464 0.0463 9451

1.925 8158 8233 0908 0.0456 0.0465 9453

1.950 8245 8402 1216 . 0449 0.0468 9455

1.975 7935 8599 1498 . 0443 0.0471 9458

2.000 7813 8774 1723 0.0438 0.0474 9462

2.025 7736 8955 1883 0.0434 0.0478 9467

2.050 7910 9100 1967 0.0431 0.0482 9471

2.075 7665 9341 1967 0.0428 0.0487 9476

2.100 7904 9549 1903 0.0426 0.0491 9481

2.125 7701 9729 1766 0.0425 0.0496 9485

2.150 7968 9919 1591 0.0424 0.0501 9490

2.175 7891 1 0154 1371 0.0424 0.0506 9493

2.200 .7951 1 0345 1122 0.0424 0.0511 9497

2.225 .7922 1 0533 0874 0.0424 0.0516 9499

2.250 8297 1 0749 0612 0.0425 0.0521 9502

2.275 .8267 1 0957 0360 0.0426 0.0526 9504

2.300 .8253 1 1110 0114 0.0428 0.0530 9505

2.325 .8297 1 1231 9894 0.0430 0.0534 9506

2.350 .8612 1 1363 9697 0.0432 0.0538 9506

2.375 8278 1 1450 9520 0.0434 0.0541 9506

2.400 .8454 1 1506 9373 0.0436 0.0544 9506

2.425 8699 1 1508 9250 0.0438 0.0546 9506

2.450 8787 1 1483 9160 . 0441 0.0548 9505

2.475 8913 1 1420 9092 . 0444 0.0549 9504

2.500 8991 1 1348 9057 0.0447 0.0549 9503

2.525 8893 1 1243 9049 . 0449 0.0549 9502

140
2.550

2.575

2.600

2.625

,650

,675

.700

.725

,750

,775

,800

,825

,850

,875

,900

,925

,950

975

3.000

3.025

3.050

3.075

100

,125

,150

,175

,200

,225

250

,275

300

325

350

,375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

,750

,775

,800

,825

,850

,875

3.900

3.925

3.950

3.975

4.000

0.9159

0.9283

0.9400

0.9582

0.9529

0.9802

0.9748

1.0026

1.0071

1.0149

1.0303

1.0210

1.0429

1.0735

1.0765

1.0759

,0919

,1234

,1579

,1259

,1301

1500

1408

1673

1607

1464

1312

1303

1262

1122

1.0997

1.1109

1.1121

1.1100

1.0529

1.0720

1.0549

1.0567

1.0621

1.0478

1.0273

1.0263

1.0060

0.9992

0.9865

1.0069

0.9815

0.9837

0.9734

0.9537

0.9524

0.9510

0.9615

0.9471

0.9448

0.9512

0.9455

0.9580

1.0000

1.1144

1.1010

1.0864

1.0701

1.0524

1.0433

1.0253

1.0118

0.9993

0.9871

0.9759

0.9653

0.9576

0.9519

0.9437

0.9378

0.9352

0.9331

0.9322

0.9319

0.9318

0.9328

0.9354

0.9381

0.9419

0.9472

0.9506

0.9582

0.9626

0.9702

0.9746

0.9829

0.9902

0.9952

0012

0067

0122

0172

0224.

11

1,

1,

1,

1.0255

0297

0338

0364

0373

0386

0395

1.0386

1.0391

1.0351

1.0327

1.0315

1.0287

1.0237

1.0231

1.0177

1.0164

1.0122

1.0074

1.0000

0.9066

0.9101

0.9162

0.9235

0.9323

0.9429

0.9544

0.9661

0.9782

0.9906

1.0023

1.0134

1.0238

1.0326

1.0396

1.0457

1.0502

,0526

,0543

0533

,0517

0490

1 . 0444

1.0395

1.0332

1.0270

1.0198

1.0130

1.0067

0.9994

0.9931

0.9872

0.9826

0.9780

0.9750

0.9724

0.9707

0.9700

0.9699

0.9712

0.9727

0.9754

0.9784

0.9816

0.9855

0.9896

0.9933

0.9972

0010

0042

0082

0106

0133

0153

0168

0178

1.0182

1.0182

1.0000

0.0452

0.0456

0.0459

0.0462

0.0466

0.0469

0.0473

0.0476

0.0480

0.0483

0.0486

0.0490

0.0493

0.0496

0.0499

0.0502

0.0505

0.0508

0.0511

0.0514

0.0517

0.0519

0.0521

0.0523

0.0525

0.0527

0.0528

0.0529

0.0530

0.0530

0.0530

0.0530

0.0530

0.0530

0.0529

0.0528

0.0527

0.0525

0.0524

0.0523

0.0521

0.0519

0.0517

0.0515

0.0514

0.0512

0.0510

0.0508

0.0506

0.0505

0.0503

0.0501

0.0500

0.0499

0.0497

0.0496

0.0495

0.0494

0.0494

0.0548

0.0547

0.0545

0.0543

0.0540

0.0537

0.0533

0.0530

-0.0526

0.0523

0.0519

0.0516

0.0512

0.0509

0.0507

0.0504

0.0502

0.0500

0.0498

0.0497

0.0496

0.0495

0.0494

0.0494

0.0494

0.0494

0.0494

0.0494

0.0495

0.0495

0.0496

0.0497

0.0498

0.0499

0.0499

0.0500

0.0501

0.0502

0.0503

0.0504

0.0505

0.0506

0.0507

0.0507

0.0508

0.0508

0.0508

0.0509

0.0509

0.0509

0.0509

0.0508

0.0508

0.0508

0.0507

0.0507

0.0506

0.0506

0.0505

0.9501

0.9499

0.9498

0.9497

0.9495

0.9494

0.9493

0.9493

0.9492

0.9492

0.9491

0.9491

0.9491

0.9492

0.9492

0.9493

0.9493

0.9494

0.9495

0.9496

0.9496

0.9497

0.9498

0.9498

0.9499

0.9499

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9499

0.9499

0.9499

0.9499

0.9499

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9499

0.9499

0.9499

0.9499

0.9499

0.9500

141
a22/all= 2 00 p*- 0.110 x^- 0. 0999 c22/€ll- 1. 50

R* Sll ^12 ^22 ^11 ^12 ^22

0.850 0005 0001 0.0000 1.0000 1.0000 .0000

0.875 0102 0042 0.0015 1.0000 1.0000 .0004

0.900 0846 0455 0.0239 1.0000 1.0000 .0070

0.925 3202 2148 0.1545 1.0000 1.0000 .0539

0.950 7486 6010 0.5148 1.0000 1.0000 .1973

0.975 1 2851 1 1498 1.0934 1 . 0000 1.0000 .4074

1.000 1 7813 1 7102 1.7086 1.0000 1.0000 .5876

1.025 2 1025 2 1345 2.1803 1.0000 1.0000 .7057

1.050 2 3781 2 3922 2.4228 1 . 0000 1.0000 .7773

1.075 2 3735 2 4670 2.4630 1.0000 1.0000 .8210

1.100 2 3772 2 4343 2.3660 1.0000 1.0000 8485

1.125 2 3431 2 3192 2.1934 1 . 0000 1.0000 8667

1.150 2 2183 2 1804 1.9927 1 . 0000 0.9999 8790

1.175 2 1398 2 0142 1.7919 1.0000 0.9991 8875

1.200 1 9613 1 8564 1.6066 1.0000 0.9930 .8936

1.225 1 8569 1 7142 1.4405 1.0000 0.9650 8980

1.250 1 7480 1 5779 1.2983 1.0000 0.8879 9011

1.275 1 6739 1 4612 1.1779 1.0000 0.7525 9033

1.300 1 5567 1 3490 1.0760 0.9997 0.5926 9049

1.325 1 4708 1 2572 0.9917 0.9973 0.4516 9059

1.350 1. 3865 1 1797 0.9222 0.9865 0.3462 9064

1.375 1 3043 1 1062 0.8657 0.9538 0.2728 9067

1.400 1 2579 1 0516 0.8200 0.8828 0.2227 9066

1.425 1. 2214 9983 0.7841 0.7703 0.1881 9063

1.450 1. 1736 9529 0.7546 0.6367 0.1637 9059

1.475 1. 1450 9136 0.7347 0.5097 0.1462 9052

1.500 1. 0889 8813 0.7197 0.4054 0.1333 9044

1.525 1. 0299 8530 0.7105 0.3261 0.1237 9034

1.550 1. 0120 0. 8313 0.7076 0.2679 0.1164 9024

1.575 0. 9795 0. 8101 0.7092 0.2254 0.1108 9013

1.600 0. 9479 0. 7945 0.7157 0.1941 0.1064 9002

1.625 0. 9312 0. 7833 0.7258 0.1709 0.1030 8990

1.650 0. 9325 0. 7754 0.7392 0.1533 0.1003 8978

1.675 0. 8997 0. 7689 0.7588 0.1399 0.0982 8966

1.700 8775 0. 7670 0.7813 0.1293 0.0967 8955

1.725 8881 0. 7660 0.8075 0.1210 0.0954 8944

1.750 8362 0. 7690 0.8382 0.1143 0.0946 8934

1.775 8378 0. 7722 0.8703 0.1089 0.0939 8925

1.800 8124 7785 0.9051 0.1045 0.0936 8918

1.825 8119 7820 0.9407 0.1008 0.0934 8913

1.850 8183 7917 0.9772 0.0978 0.0933 8909

1.875 7924 8015 1.0135 0.0954 0.0934 8907

1.900 7742 8137 1.0499 0.0933 0.0937 8908

1.925 7877 8285 1.0832 0.0915 0.0940 8910

1.950 7741 8410 1.1136 0.0901 0.0945 8915

1.975 7769 8592 1.1409 0.0889 0.0950 8920

2.000 7799 8764 1.1637 0.0880 0.0956 8927

2.025 7819 8959 1.1801 0.0872 0.0963 8935

2.050 7864 9123 1.1875 0.0866 0.0971 8944

2.075 7934 9318 1.1902 0.0861 0.0979 8953

2.100 7965 9520 1.1838 0.0858 0.0987 8961

2.125 7859 9711 1.1716 0.0856 0.0996 8969

2.150 7951 9879 1.1545 0.0855 0.1004 8977

2.175 7841 1 0098 1.1337 0.0854 0.1013 0. 8984

2.200 .8012 1 0270 1.1109 0.0854 0.1022 0. 8990

2.225 .7886 1 0478 1.0856 0.0855 0.1031 0. 8995

2.250 .8109 1 .0665 1.0603 0.0856 0.1040 0. 9000

2.275 .8227 1 .0853 1.0364 0.0858 0.1048 0. 9003

2.300 .8241 1 .1031 1.0132 0.0861 0.1056 0. 9006

2.325 .8363 1 .1168 0.9917 0.0864 0.1064 0. 9007

2.350 .8362 1 .1289 0.9728 0.0868 0.1070 0. 9008

2.375 .8395 1 .1397 0.9555 0.0871 0.1077 0. 9009

2.400 .8454 1 .1472 0.9418 0.0876 0.1082 0. 9008

2.425 .8637 1 .1477 0.9300 0.0880 0.1086 0. 9008

2.450 .8678 1 .1467 0.9213 0.0885 0.1089 0. 9006

2.475 .8796 1 .1423 0.9150 0.0890 0.1092 0. 9005

2.500 .8936 1 .1351 0.9119 0.0895 0.1093 0. 9003

2.525 .8949 1 .1251 0.9114 0.0901 0.1092 0. 9001

142-
2.550

2.575

2.600

2.625

.650

.675

.700

.725

.750

.115

.800

.825

.850

.875

.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

.475

.500

.525

.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

,750

,775

.800

,825

,850

0.9076

0.9197

0.9213

0.9358

0.9455

0.9500

0.9573

0.9916

1.0059

1.0051

1.0243

1.0184

1 . 0448

0610

0728

0825

0860

0847

1.1098

,1008

,1198

,1154

,1106

,1308

,1163

,1193

,1060

,1131

,1032

,1043

,0769

1.0781

1.0845

1.0687

1.0675

3.875

900

925

950

975

000

,0640

,0410

0365

,0242

0255

,0174

0035

0.9965

0.9998

0.9944

0.9826

0.9898

0.9774

0.9690

0.9566

0.9643

0.9711

0.9546

0.9612

0.9556

0.9455

0.9547

0.9471

1 . 0000

1.1142

1.1005

1.0870

1.0713

1.0562

1.0429

1.0271

1.0133

0.9999

0.9892

0.9785

0.9686

0.9608

0.9529

0.9467

0.9425

0.9401

0.9344

0.9334

0.9335

0.9336

0.9357

0.9361

0.9402

0.9440

0.9495

0.9529

0.9582

0.9649

0.9710

0.9748

0.9815

0.9896

0.9946

1.0002

1.0056

1.0098

1.0140

1.0189

1.0226

1.0260

1.0296

1.0322

1.0347

1.0359

1.0370

1.0369

1.0373

1.0334

1.0330

1.0320

1.0294

1.0263

1.0221

1.0196

1.0161

1.0135

1.0101

1.0000

0.9127

0.9161

0.9213

0.9286

0.9369

0.9461

0.9566

0.9677

0.9793

0.9897

1.0002

1.0108

1.0205

1.0287

1.0360

1.0418

1.0457

1.0487

1.0503

.0503

.0485

,0460

.0423

,0372

1.0319

1.0264

1.0203

1.0135

1.0066

1.0011

0.9951

0.9893

0.9850

0.9809

0.9778

0.9757

0.9739

0.9731

0.9735

0.9737

0.9755

0.9778

0.9805

0.9828

0.9858

0.9901

0.9932

0.9969

1.0006

1.0039

1.0072

1.0098

1.0121

1.0137

1.0149

1.0159

1.0158

1.0167

1.0000

0.0907

0.0912

0.0918

0.0924

0.0930

0.0936

0.0942

0.0948

0.0955

0.0961

0.0967

0.0974

0.0980

0.0986

0.0992

0.0998

. 1004

0.1009

0.1014

0.1019

0.1023

0.1028

0.1031

0.1035

0.1038

0.1041

0.1043

. 1044

0.1046

0.1047

0.1047

0.1047

0.1046

0.1045

. 1044

0.1043

0.1041

0.1038

0.1036

0.1033

0.1030

0.1027

0.1023

0.1020

0.1016

0.1013

0.1010

0.1007

0.1004

0.1001

0.0998

0.0995

0.0993

0.0990

0.0988

0.0986

0.0984

0.0983

0.0982

0.1091

0.1089

0.1085

0.1081

0.1076

0.1071

0.1065

0.1058

0.1052

0.1045

0.1039

0.1033

0.1027

0.1021

0.1016

0.1011

0.1007

0.1004

0.1000

0.0998

0.0996

0.0994

0.0993

0.0992

0.0991

0.0991

0.0992

0.0992

0.0993

0.0994

0.0995

0.0997

0.0998

0.1000

0.1001

0.1003

0.1005

0.1006

0.1008

0.1010

0.1011

0.1012

0.1014

0.1015

0.1016

0.1016

0.1017

0.1017

0.1018

0.1018

0.1017

0.1017

0.1017

0.1016

0.1016

0.1015

0.1014

0.1013

0.1012

0.8999

0.8996

0.8994

0.8992

0.8990

0.8988

0.8986

0.8985

0.8984

0.8983

0.8983

0.8982

0.8983

0.8983

0.8984

0.8984

0.8985

0.8987

0.8988

0.8990

0.8991

0.8992

0.8993

0.8994

0.8995

0.8996

0.8997

0.8997

0.8998

0.8998

0.8998

0.8998

0.8997

0.8997

0.8997

0.8997

0.8996

0.8996

0.8995

0.8995

0.8995

0.8994

0.8994

0.8994

0.8994

0.8994

0.8994

0.8994

0.8994

0.8994

0.8994

0.8995

0.8995

0.8995

0.8996

0.8996

0.8996

0.8997

0.8997

-143-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-2 . a22/all- 2.00 p*- 0.126 x.- 0.2500 €22/cll- 1.50

R*

'11 '12 '22 11 12 '22

0,.850 0,.0006 0..0001 0,.0000 .0000 .0000 0,.0000

0,.875 0,.0111 0..0040 0,.0014 .0000 .0000 0,.0001

0,.900 0,.0835 0,.0435 0,.0238 .0000 .0000 0,.0023

0,.925 0,.3179 0,.2124 0,.1507 .0000 .0000 0,.0185

0,.950 0,.7389 0,.5899 0,.4996 ,0000 .0000 0..0747

0,.975 1,.2685 1..1344 1,.0643 ,0000 .0000 0,.1840

.000 1,.7750 1,.6822 1,.6657 ,0000 .0000 0,.3185

.025 2..1644 2,.1083 2,.1232 ,0000 .0000 0,.4402

.050 2,.3642 2..3478 2,.3630 ,0000 .0000 0,.5335

.075 2,.4404 2,.4274 2,.4064 ,0000 .0000 0,.6004

.100 2,.4373 2,.3909 2,.3131 ,0000 .0000 0,.6473

.125 2,.3521 2..2854 2,.1499 ,0000 .0000 0,.6804

.150 2,.2465 2,.1464 1..9570 ,0000 .0000 0,.7039

.175 2,.1292 1..9939 1,.7668 .0000 0,.9997 0,.7209

.200 2,.0112 1..8382 1,.5878 .0000 0..9977 0,.7332

.225 .9072 1..6934 1,.4281 .0000 0,.9881 0,.7422

.250 .7625 1,.5602 1,.2911 .0000 0,.9600 0,.7486

.275 .6770 1,,4486 1.,1759 .0000 0..9025 0,,7532

.300 .5610 1,,3476 1,,0790 0,.9999 0,.8160 0,,7564

.325 ,4877 1.,2529 0,,9993 0..9992 0..7151 0,,7585

.350 ,4140 1,,1768 0.,9326 0..9958 0,.6175 0,,7597

.375 ,3575 1,,1114 0,,8791 0,.9848 0..5337 0,,7603

.400 ,2726 1,,0536 0.,8352 0..9589 0.,4665 0,,7602

.425 ,2031 0,,9995 0,,8032 0,.9122 0,,4142 0,,7597

.450 ,1745 0,,9557 0,,7793 0,.8441 0,,3741 0,,7588

.475 ,1233 0,,9212 0,,7613 0,.7622 0,,3433 0,,7576

.500 ,0868 0,,8918 0,,7514 0,.6774 0,,3196 0,,7562

.525 ,0517 0,,8666 0,,7459 0,.5984 0,,3013 0,,7546

.550 ,0200 0,,8464 0,,7446 0,.5297 0,,2869 0,,7529

.575 o!,9896 0,,8294 0,,7471 0,.4726 0,,2757 0,,7510

.600 0,,9542 0,,8165 0,,7530 0..4260 0,,2668 0,,7491

.625 0,,9371 0,,8077 0,,7622 0,.3884 0,,2598 0,,7471

.650 0,,9176 0,,8033 0,,7720 0,.3581 0,,2544 0,,7451

,675 0.,9008 0,,7975 0,,7873 0,.3336 0.,2501 0,,7431

.700 0,,8852 0,,7928 0,,8049 0,.3138 0,,2468 0.,7411

.725 0,,8808 0.,7939 0,,8256 0,.2976 0,,2442 0,,7392

.750 0,,8536 0,,7970 0.,8499 0,.2843 0,,2424 0,,7374

,775 0.,8419 0,,7975 0,,8772 0..2732 0,,2411 0,,7358

,800 0.,8366 0,,8041 0,,9052 0,.2640 0,,2403 0.,7345

,825 0,,8352 0,,8095 0,,9349 0,.2565 0,,2398 0,.7335

,850 0,,8260 0,,8136 0.,9668 0..2502 0.,2397 0,,7327

,875 0,,8097 0,,8237 0.,9997 0..2449 0.,2399 0.,7324

,900 0,,8098 0.,8321 1.,0303 0,.2405 0,,2403 0.,7324

,925 0,,8128 0,,8425 1,,0609 0,.2368 0,,2409 0,,7327

,950 0,,8069 0,,8575 1,,0906 0,.2337 0,,2417 0,,7334

.975 0,,8072 0,,8691 1,,1162 0,.2312 0,,2427 0.,7344

l\.000 0.,7982 0,,8826 1,,1375 0,.2291 0,,2438 0,,7356

2,.025 0,,8046 0.,8958 1,,1533 0,.2274 0,,2450 0,,7370

2 .050 0.,7995 0..9114 1,,1626 0..2261 0,,2462 0,,7385

2 .075 0,.8076 0..9299 1,,1649 0..2250 0,,2476 0,,7401

2 .100 0,.8065 .9442 1,.1617 0,.2243 0,,2490 0.,7416

2 .125 0,.8041 0,.9627 1,.1521 0,.2237 0,,2504 0,,7432

2 .150 0,.8075 .9786 1,.1373 0,.2233 0,,2519 0.,7446

2 .175 0,.8117 .9980' 1..1208 0,.2232 0,,2534 0.,7458

2,.200 0..8214 .0140 1..1007 0,.2232 0,,2549 0.,7470

2,.225 .8216 .0336 1,.0791 0,.2234 0,,2564 0,,7480

2 .250 0,.8205 .0514 1,.0578 0,.2236 0,,2579 0.,7488

2 .275 .8369 .0697 1,.0368 0,.2240 0,,2594 0.,7494

2 .300 .8305 .0858 1,.0171 0..2245 0,,2608 0.,7499

2,.325 .8331 .0999 0..9988 0,.2250 0.,2621 0. 7503

2 .350 .8481 .1124 0,.9813 0,.2257 0,,2634 0.,7505

2,.375 .8485 .1204 0,.9669 0,.2264 0,.2645 0.,7506

2,.400 .8563 .1242 0,.9554 0,.2271 0.,2655 0. 7506

2,.425 .8634 .1290 0,.9453 0,.2279 0,,2663 0. 7505

2,.450 .8738 .1289 0,.9377 0,.2288 0,,2669 0.,7504

2,.475 .8844 .1242 0,.9331 0,.2297 0,,2674 0. 7501

2,.500 .8803 .1184 0..9301 0,,2307 0,.2676 0. 7498

2,.525 .8938 .1102 0..9305 0,,2316 0..2676 0. 7495

144
2.550

2.515

2.600

2.625

2.650

2.675

,700

.725

,750

.115

.800

,825

.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

.100

.125

.150

.175

,200

,225

,250

275

300

325

.350

3.375

3.400

3.425

3.450

3.475

500

,525

,550

,575

,600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9084

0.9199

0.9272

0.9351

0.9415

0.9449

0.9605

0.9733

0.9764

0.9903

0.9949

0045

0204

0371

0383

0421

0623

1.1019

1.0894

1.0767

1.0721

1.0750

1.0792

1.0861

1.0881

1.0996

1.1053

1.0990

1.0956

1023

1002

0967

0986

0831

1.0874

1.0707

1.0678

1.0571

1.0495

1.0472

1.0396

1.0316

1.0228

1.0097

1.0126

0.9998

0.9916

0.9895

0.9880

0.9855

0.9781

0.9759

0.9739

0.9731

0.9692

0.9681

0.9636

0.9619

0.9640

0.9637

0.9661

1.0000

0645

,0523

,0398

,0275

,0154

1.0053

0.9940

0.9854

0.9767

0.9696

0.9634

0.9587

0.9532

0.9507

0.9488

0.9472

0.9467

0.9470

0.9478

0.9498

0.9507

0.9540

0.9585

0.9605

0.9649

0.9685

0.9732

0.9790

0.9826

0.9858

0.9921

0.9974

,0008

,0048

,0078

,0117

,0160

,0187

1.0219

1.0250

1.0270

1.0285

1.0279

1.0290

1.0289

1.0275

1.0262

1.0246

1.0244

1.0211

1.0185

1.0173

1.0155

1.0123

1.0080

1.0000

0.9316

0.9340

0.9369

0.9435

0.9486

0.9561

0.9629

0.9712

0.9802

0.9897

0.9972

1.0058

.0138

.0198

.0254

.0308

.0343

.0369

1.0395

1.0397

1.0386

1.0372

1.0344

1.0314

1.0273

1.0232

1.0183

1.0131

1.0073

1.0039

0.9993

0.9951

0.9908

0.9872

0.9854

0.9836

0.9810

0.9811

0.9810

0.9818

0.9830

0.9845

0.9858

0.9886

0.9901

0.9937

0.9956

0.9981

1.0005

1.0028

1.0043

1.0069

1.0082

1.0093

1.0105

1.0109

1.0120

1.0114

1.0000

0.2326

0.2337

0.2348

0.2359

0.2370

0.2381

0.2391

0.2402

0.2413

0.2424

0.2435

0.2446

0.2457

0.2467

0.2478

0.2488

0.2498

0.2507

0.2517

0.2526

0.2534

0.2542

0.2549

0.2556

0.2562

0.2568

0.2572

0.2576

0.2579

0.2582

0.2584

0.2584

0.2584

0.2583

0.2582

0.2579

0.2576

0.2572

0.2568

0.2563

0.2557

0.2552

0.2546

0.2540

0.2533

0.2527

0.2521

0.2516

0.2510

0.2504

0.2499

0.2494

0.2490

0.2486

0.2482

0.2478

0.2475

0.2472

0.2471

0.2675

0.2671

0.2666

0.2659

0.2650

0.2641

0.2630

0.2619

0.2607

0.2595

0.2584

0.2572

0.2561

0.2551

0.2542

0.2533

0.2525

0.2518

0.2512

0.2507

0.2503

0.2500

0.2497

0.2495

0.2494

0.2494

0.2494

0.2494

0.2496

0.2497

0.2499

0.2501

0.2503

0.2506

0.2508

0.2511

0.2513

0.2516

0.2518

0.2521

0.2523

0.2525

0.2527

0.2529

0.2530

0.2532

0.2533

0.2533

0.2534

0.2534

0.2534

0.2534

0.2533

0.2532

0.2531

0.2530

0.2529

0.2527

0.2525

0.7492

0.7488

0.7485

0.7482

0.7479

0.7476

0.7473

0.7471

0.7469

0.7467

0.7466

0.7466

0.7466

0.7467

0.7468

0.7469

0.7471

0.7472

0.7475

0.7477

0.7480

0.7482

0.7484

0.7486

0.7487

0.7489

0.7490

0.7491

0.7492

0.7492

0.7492

0.7492

0.7492

0.7492

0.7491

0.7491

0.7491

0.7490

0.7489

0.7489

0.7488

0.7488

0.7488

0.7487

0.7487

0.7487

0.7487

0.7487

0.7488

0.7488

0.7488

0.7489

0.7489

0.7490

0.7490

0.7491

0.7491

0.7492

0.7492

-145-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-2 . a22/all= 2.00 p*- 0.165 x = 0.5000 €22/€ll= 1.50

R* hi ^12 §22 ^11 ^12 ^22

0,.850 .0006 ,0001 0.,0000 1.0000 1,,0000 0.0000

.875 0..0114 0,.0039 0,,0012 1 . 0000 1,,0000 0.0000

0,.900 0,.0808 0,.0413 0.,0203 1.0000 1,,0000 0.0007

.925 0,.2972 0,.1974 0,,1324 1.0000 1,,0000 0.0057

0,.950 0,.7025 0,.5499 0,,4469 1.0000 1,,0000 0.0243

0,.975 1,.2063 1,.0593 0,,9561 1.0000 1,,0000 0.0655

1..000 1,.6865 1,,5758 1,,5050 1.0000 1,,0000 0.1271

1,.025 2..0531 1,,9816 1.,9318 1.0000 1,,0000 0.1971

1,.050 2,.2652 2,,2248 2,,1682 1.0000 1,,0000 0.2635

1,.075 2,,3613 2,,3120 2,,2269 1.0000 1,,0000 0.3201

1,.100 2,,3568 2,,2797 2,,1628 1.0000 1,,0000 0.3655

1,.125 2,,2922 2,,1882 2,,0285 1.0000 1,,0000 0.4009

1..150 2,.1864 2,,0604 1,,8681 1.0000 1,,0000 0.4281

1..175 2.,0808 1,,9149 1,,7010 1.0000 0.,9999 0.4488

1,.200 ,9597 1.,7760 1,,5409 1.0000 0,,9993 0.4643

1..225 ,8458 1,,6435 1,,4010 1.0000 0,,9964 0.4760

1,.250 ,7320 1,.5230 1,,2821 1.0000 0,,9874 0.4846

1,.275 ,6336 1.,4194 1,,1763 1.0000 0.,9677 0.4907

1,,300 ,5416 1,,3253 1.,0888 1.0000 0,,9345 0.4951

1,,325 ,4617 1,,2418 1.,0207 0.9997 0,,8897 0.4980

1,,350 ,3831 1,,1699 0.,9636 0.9986 0,,8381 0.4998

1,,375 ,3260 1.,1119 0,.9164 0.9950 0,.7857 0.5008

1,,400 ,2716 1.,0603 0,,8841 0.9865 0..7365 0.5011

1,,425 ,2110 1,,0126 0,,8616 0.9702 0,.6930 0.5010

1.,450 ,1735 0,,9797 0,,8459 . 9444 0,.6558 0.5007

1,,475 ,1338 0,,9480 0,,8382 0.9096 0,,6248 0.5001

1,,500 ,0871 0,,9227 0,,8334 0.8683 0.,5991 0.4993

1,,525 ,0515 0.,9021 0.,8335 0.8238 0,,5780 0.4984

1,,550 ,0292 0.,8869 0,,8369 0.7794 0.,5609 0.4975

1,,575 ,0024 0.,8746 0,,8390 0.7374 0.,5469 0.4964

1,,600 o'.,9844 0,,8671 0,,8434 0.6991 0.,5357 0.4954

1,,625 0,,9600 0.,8637 0,,8439 0.6653 0,,5266 0.4941

1,,650 0,,9359 0,,8596 0,,8514 0.6358 0,,5194 0.4929

1,,675 0,,9282 0.,8609 0,,8560 0.6104 0.,5137 0.4915

1.,700 0.,9102 0,,8611 0.,8621 0.5886 0,,5093 0.4901

1,,725 0,,8966 0,,8606 0,,8721 0.5699 0.,5059 0.4887

1,,750 0.,8915 0,,8637 0,,8815 0.5541 0,,5033 0.4873

1,,775 0.,8828 0,,8635 0,,8941 0.5407 0,,5015 0.4859

1.,800 0,,8740 0,,8680 0,,9105 0.5292 0,,5002 0.4846

1,,825 0.,8679 0,,8671 0,,9279 0.5195 0,,4994 0.4836^

1,,850 0,,8683 0.,8709 0,,9473 0.5113 0,,4990 0.4827

1.,875 0,,8606 0.,8738 0,,9691 0.5044 0,,4989 0.4822

1,,900 0,,8669 0.,8756 0.,9909 0.4985 0.,4990 0.4819

1,,925 0.,8649 0,,8805 1,,0125 0.4936 0,,4992 0.4820

1,,950 0,,8587 0.,8854 1,,0344 0.4895 0,,4996 0.4824

1,,975 0,,8625 0,,8940 1,,0562 0.4861 0,,5001 0.4830

2,,000 0,,8610 0.,9001 1.,0735 0.4834 0,,5007 0.4839

2,,025 0,,8673 0,,9075 1.,0876 0.4812 0,,5014 0.4850

2,,050 0,,8645 0,,9171 1,,0976 0.4794 0.,5021 0.4863

2,,075 0,,8681 0,,9249 1,,1051 0.4780 0,,5028 0.4877

2..100 0,,8695 0.,9373 1,,1052 0.4770 0,,5036 0.4891

2,.125 0,,8679 0,,9476 1,,1010 0.4763 0,,5044 0,4904

2,.150 0,,8724 0,,9618 1.,0946 0.4759 0,,5052 0.4917

2,.175 0,,8726 0,,9711 1.,0859 0.4756 0,,5062 0.4929

2..200 0,,8742 0,,9848 1,,0764 0.4756 0,,5071 0.4940

2,.225 0,,8690 0,,9984 1,,0628 0.4757 0,.5081 0.4950

2..250 0,.8727 1,,0125 1,,0483 0.4759 0..5091 0.4959

2,.275 0,.8757 1,,0261 1.,0359 0.4763 0,.5102 0.4965

2..300 0..8786 1,,0412 1,,0243 0.4767 0,,5113 0.4971

2..325 0,.8833 1.,0520 1,,0112 0.4773 0,,5124 0.4976

2,,350 0..8880 1,,0649 1,,0010 0.4779 0,.5134 0.4979

2,,375 0.,8858 1,,0729 0.,9928 0.4786 0,.5145 0.4981

2,.400 0,.8926 1,,0773 0.,9842 0.4793 0,.5154 0.4983

2,.425 0,.8934 1,,0814 0,,9776 0.4801 0,.5162 0.4983

2,,450 0,,8991 1,,0849 0,,9717 0.4809 0,,5169 0.4983

2,,475 0,.9028 1,,0832 0.,9691 0.4817 .5175 0.4983

2,,500 0,.9092 1,,0780 0.,9684 0.4825 0..5178 0.4982

2,,525 0,,9177 1.,0763 0,.9648 0.4834 0,.5180 0.4981

146
.550

,575

.600

,625

,650

,675

,700

,725

2.750

1.115

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

200

,225

,250

,275

,300

,325

.350

3.375

3.400

3.425

3.450

3.475

,500

.525

.550

.575

.600

.625

3.650

3.675

,700

.725

.750

.775

.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9232

0.9292

0.9328

0.9392

0.9479

0.9524

0.9611

0.9702

0.9762

0.9823

0.9895

0.9985

,0074

,0128

,0262

,0358

,0419

,0481

1.0549

1.0632

1.0669

1.0690

1.0738

1.0768

1.0782

1.0783

1.0762

1.0762

1.0744

0704

,0677

,0662

,0595

,0563

,0520

,0487

,0424

,0390

0338

1.0310

1.0233

1.0218

1.0165

1.0120

1.0085

1.0051

1.0050

0.9983

1.0000

0.9946

0.9922

0.9898

0.9900

0.9888

0.9886

0.9855

0.9871

0.9846

1.0000

1.0703

1.0632

1.0572

1.0494

1.0408

1.0328

1.0248

1.0168

1.0098

1.0044

0.9988

0.9920

0.9888

0.9850

0.9835

0.9799

0.9792

0.9754

0.9750

0.9742

0.9730

0.9736

0.9742

0.9738

0.9773

0.9774

0.9782

0.9804

0.9823

0.9839

0.9847

0.9875

0.9884

0.9917

0.9932

0.9949

0.9975

0.9998

1.0021

1.0050

1.0060

1.0072

1.0079

1.0097

1.0100

1.0119

1.0124

1.0133

1.0121

1.0136

1.0129

1.0132

1.0125

1.0109

1.0106

1.0093

1.0078

1.0066

1.0000'

0.9660

0.9679

0.9683

0.9709

0.9734

0.9764

0.9789

0.9829

0.9862

0.9896

0.9913

0.9964

1.0008

1.0045

1.0066

1.0100

1.0126

,0137

.0171

.0174

.0181

.0197

1.0193

1.0188

1.0163

1.0148

1.0133

1.0114

1.0094

1.0070

1.0042

1.0022

1.0002

0.9991

0.9978

0.9966

0.9969

0.9956

0.9954

0.9943

0.9953

0.9949

0.9952

0.9965

0.9961

0.9963

0.9968

0.9991

0.9993

1.0001

1.0011

1.0030

1.0029

1.0038

1.0050

1 . 0044

1.0046

1.0045

1 . 0000

0.4842

0.4851

0.4860

0.4869

0.4878

0.4887

0.4897

0.4906

0.4916

0.4926

0.4935

0.4945

0.4955

0.4965

0.4975

0.4985

0.4996

0.5005

0.5015

0.5025

0.5034

0.5043

0.5051

0.5059

0.5066

0.5073

0.5079

0.5084

0.5089

0.5092

0.5095

0.5097

0.5099

0.5099

0.5099

0.5098

0.5096

0.5094

0.5091

0.5088

0.5083

0.5079

0.5074

0.5069

0.5064

0.5059

0.5054

0.5048

0.5043

0.5039

0.5034

0.5029

0.5025

0.5021

0.5017

0.5013

0.5010

0.5007

0.5005

0.5181

0.5179

0.5176

0.5172

0.5166

0.5158

0.5150

0.5140

0.5130

0.5120

0.5109

0.5099

0.5089

0.5079

0.5071

0.5062

0.5055

0.5048

0.5041

0.5036

0.5032

0.5028

0.5024

0.5022

0.5020

0.5018

0.5017

0.5017

0.5017

0.5017

0.5017

0.5018

0.5019

0.5020

0.5021

0.5022

0.5023

0.5024

0.5025

0.5026

0.5028

0.5029

0.5030

0.5030

0.5031

0.5032

0.5032

0.5033

0.5033

0.5033

0.5033

0.5033

0.5033

0.5033

0.5032

0.5031

0.5031

0.5030

0.5029

0.4979

0.4978

0.4976

0.4975

0.4973

0.4972

0.4970

0.4969

0.4968

0.4968

0.4967

0.4967

0.4967

0.4967

0.4967

0.4968

0.4969

0.4970

0.4971

0.4973

0.4975

0.4977

0.4978

0.4980

0.4982

0.4983

0.4984

0.4985

0.4986

0.4987

0.4988

0.4988

0.4988

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4990

0.4990

0.4990

0.4991

0.4991

0.4991

0.4992

0.4992

0.4992

-147
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . all/a\\= 2.00 p*= 0.244 x. 0.7500 €22/€ll= 1.50

R* Sll ^12 §22 ^11 ^12 ^22

0,,850 0,.0004 0,.0001 0,.0000 1,,0000 1,,0000 0,.0000

0..875 0,.0099 0..0035 0..0011 1,,0000 1,,0000 0,.0000

0,,900 0,.0740 0..0368 0,.0166 1.,0000 1.,0000 0,.0002

0.,925 0,.2697 0,,1780 0,.1062 1.,0000 1.,0000 0,.0017

0,.950 0,.6392 0,.5013 0,.3625 1,,0000 1,,0000 0,.0072

0,,975 1,.1019 0,.9576 0..7849 1,,0000 1.,0000 0,.0200

1,.000 1,.5424 1,.4333 1..2516 1.,0000 1,,0000 0,.0409

1,,025 1,.8656 1,.8123 1,.6209 1,,0000 1.,0000 0,.0673

1.,050 2,.0807 2,,0294 1,.8459 1,,0000 1.,0000 0,.0955

1.,075 2,,1589 2,,1206 1,.9086 1.,0000 1,,0000 0,.1223

1.,100 2,,1609 2,,1046 1,.8810 1,,0000 1,,0000 0,.1460

1,,125 2,,1021 2.,0292 1,.7786 1,,0000 1.,0000 0,.1659

1.,150 2.,0160 ,9211 1..6567 1.,0000 1,,0000 0,.1822

1.,175 ,9197 ,8013 1..5262 1,,0000 1,,0000 0..1951

1.,200 ,8111 ,6740 1,.4109 1.,0000 0,,9998 0,.2052

1.,225 ,7108 ,5604 1,.3033 1,,0000 0,,9989 0,.2129

1.,250 ,6202 ,4536 1..2017 1,,0000 0,,9963 0,.2187

1.,275 ,5287 ,3614 1,.1264 1.,0000 0.,9904 0..2229

1.,300 ,4496 ,2785 1..0673 1,,0000 0,,9800 0.,2259

1,,325 ,3826 ,2067 1,.0161 0,,9999 0.,9650 0,,2281

1.,350 ,3166 ,1489 0.,9795 0,,9995 0,,9464 0,.2297

1.,375 ,2594 ,0966 0.,9532 0,,9984 0.,9257 0,.2308

1.,400 ,2055 ,0528 0..9356 0,,9956 0,,9045 0..2316

1.,425 ,1584 ,0180 0..9265 0,,9901 0,,8841 0..2323

1.,450 ,1229 o;,9890 0,.9341 0,,9812 0.,8654 0,.2329

1.,475 ,0874 0,,9674 0,.9415 0,,9688 0,,8487 0..2337

1.,500 ,0521 0,,9495 0,.9485 0,,9532 0.,8341 0,.2345

1.,525 ,0272 0..9376 0,.9621 0,,9352 0,,8216 0..2354

1.,550 ,0046 0,,9332 0,.9703 0,,9160 0,,8110 0..2363

1.,575 o!,9844 0,,9302 0,.9768 0,,8967 0,,8022 0..2372

1,,600 0,,9615 0,,9340 0,.9819 0,,8779 0,,7948 0,.2380

1,,625 0,,9482 0,,9363 0..9749 0,,8602 0,,7888 0,.2388

1.,650 0.,9352 0,,9452 0,.9750 0,,8439 0.,7839 0..2394

1..675 0,,9231 0,,9506 0..9716 0,,8292 0.,7801 0,.2399

1..700 0,,9140 0.,9567 0..9667 0,,8160 0,,7771 0,.2402

1..725 0,,9054 0,,9607 0,.9587 0,,8043 0,,7747 0..2404

1,.750 0,,9021 0,,9623 0..9513 0.,7941 0.,7729 0..2404

1,,775 0,,8994 0,.9638 0,.9517 0,.7851 0,,7714 0..2404

1,.800 0,.8944 0,,9648 0,.9482 0,.7774 0,,7703 0,.2402

1,.825 0,,8938 0,,9626 0,.9519 0,,7707 0,,7695 0..2401

1 .850 0,,8956 0,,9619 0,.9545 0,,7650 0,,7688 0,.2399

1,.875 0,.8959 0,,9566 0,.9603 0.,7601 0,,7682 0,.2398

1,.900 0..9024 0,,9534 0..9723 0,.7560 0,,7677 0,.2397

1,.925 0,,9071 0,.9487 0,.9784 0,.7525 0,,7672 0,.2398

1 .950 0..9132 0,.9447 0,.9918 0,.7497 0.,7667 0,.2399

1,.975 0,.9174 0,.9431 1,.0014 0..7474 0,,7661 0..2401

2 .000 0,.9240 0..9406 1,.0131 0,.7455 0.,7655 0,.2404

2 .025 0,.9280 0.,9434 1,.0206 0..7440 0,,7649 0..2408

2 .050 0..9342 0,,9421 1..0329 0,.7429 0,,7642 0,.2413

2 .075 0,.9377 0.,9448 1,.0367 0,.7421 0,.7635 0,.2418

2 .100 0..9383 0.,9474 1,.0408 0..7415 0,,7628 0,.2423

2 .125 0,.9419 0,.9495 1..0422 0,.7412 0,,7622 0,.2429

2 .150 0,.9428 0..9551 1,.0411 0,.7410 0,,7616 0,.2434

2 .175 0,.9418 0..9614 1,.0372 0,.7409 0.,7611 0,.2439

2 .200 0,.9412 0..9651 1,.0336 0,.7409 0,,7606 0,.2444

2 .225 0..9399 0..9727 1,.0276 0,.7411 0,,7602 0..2448

2 .250 0,.9411 0..9816 1,.0258 0,.7413 0,,7599 0,.2451

2,.275 0,.9368 0,.9889 1,.0193 0,.7415 0,,7597 0..2455

2,.300 0,.9387 0,.9957 1,.0157 0,.7417 0,,7596 0,,2457

2,.325 0,.9375 .0039 1,.0086 0,.7420 0,,7596 0.,2460

2,.350 0,.9346 .0095 1,.0069 0,.7423 0,,7596 0,,2461

2,.375 .9353 .0186 1 .0001 0,.7425 0.,7596 0,.2463

2 .400 .9329 .0223 0,.9997 0,.7427 0,,7598 0,.2464

2 .425 0,.9320 .0247 .9972 0..7429 0,,7599 0,.2465

2,.450 0,.9329 .0257 .9956 0..7431 0,,7600 0,.2466

2 .475 .9337 .0285 .9935 0,.7433 0,,7601 0,.2467

2 .500 .9352 .0275 .9929 0,.7434 0,,7602 0,.2468

2..525 .9335 .0281 0,.9930 0,.7435 0,,7603 0..2468

148
2.550

2.515

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

.850

,875

,900

,925

950

3.975

4.000

0.9357

0.9399

0.9408

0.9439

0.9485

0.9491

0.9540

0.9567

0.9637

0.9666

0.9729

0.9766

0.9834

0.9866

0.9950

0.9992

1.0040

1.0068

0266

0242

0218

0202

0160

0145

0210

0240

0293

0320

0338

0351

1.0356

.0365

,0361

,0354

,0355

,0340

,0321

,0292

0280

1.0258

1.0252

1.0218

1.0207

1.0182

1.0156

,0145

,0132

,0104

,0085

,0075

1.0061

1.0048

1.0021

1.0032

1.0002

0.9995

0.9987

0.9992

1.0005

0.9981

0.9998

0.9990

0.9991

1.0000

1.0149

.0104

,0072

,0069

,0032

,0011

0.9992

0.9990

0.9977

0.9980

0.9952

0.9976

0.9965

0.9974

0.9976

0.9963

0.9980

0.9979

0.9979

0.9983

0.9989

0.9981

0.9977

0.9977

0.9993

0.9978

0.9981

0.9978

0.9975

0.9978

0.9973

0.9978

0.9986

0.9984

0.9987

1.0007

1.0010

1.0008

1.0011

1.0011

1.0021

1.0021

1.0029

1.0023

1.0028

1.0024

1.0028

1.0024

1.0027

1.0021

1.0025

1.0018

1.0023

1.0000

0.9968

0.9948

0.9963

0.9982

0.9992

0.9977

1.0006

1.0015

1.0014

1.0043

1.0029

1.0017

1.0034

1.0015

0018

0039

0042

0067

0040

0053

0051

0060

0066

1.0078

,0065

,0052

,0057

,0072

,0042

,0050

,0042

0052

0043

0032

0029

0031

0034

1.0025

1.0009

1.0024

1.0019

1.0021

0010

0020

0034

0025

0031

1.0026

1.0023

1.0035

1.0046

0.0241

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

1.0000

0.7435

0.7436

0.7437

0.7437

0.7438

0.7439

. 7440

0.7441

0.7443

. 7444

0.7446

0.7449

0.7451

0.7454

0.7457

0.7461

0.7465

0.7469

0.7473

0.7477

0.7481

0.7486

0.7490

0.7494

0.7498

0.7502

0.7506

0.7510

0.7513

0.7516

0.7518

0.7521

0.7523

0.7524

0.7526

0.7526

0.7527

0.7527

0.7528

0.7527

0.7527

0.7526

0.7525

0.7524

0.7523

0.7522

0.7520

0.7519

0.7518

0.7516

0.7515

0.7514

0.7513

0.7511

0.7510

0.7509

0.7508

0.7508

0.7507

0.7603

0.7602

0.7601

0.7599

0.7597

0.7595

0.7592

0.7588

0.7585

0.7581

0.7577

0.7572

0.7568

0.7564

0.7561

0.7557

0.7554

0.7551

0.7549

0.7546

0.7544

0.7542

0.7540

0.7539

0.7538

0.7537

0.7536

0.7535

0.7534

0.7534

0.7533

0.7532

0.7532

0.7531

0.7531

0.7530

0.7530

0.7529

0.7528

0.7528

0.7527

0.7527

0.7526

0.7526

0.7525

0.7525

0.7524

0.7524

0.7523

0.7523

0.7522

0.7522

0.7521

0.7521

0.7521

0.7520

0.7520

0.7519

0.7519

0.2469

0.2470

0.2471

0.2472

0.2472

0.2473

0.2474

0.2474

0.2475

0.2476

0.2477

0.2477

0.2478

0.2478

0.2479

0.2479

0.2480

0.2481

0.2481

0.2482

0.2483

0.2483

0.2484

0.2485

0.2485

0.2486

0.2487

0.2487

0.2488

0.2488

0.2489

0.2489

0.2490

0.2490

0.2490

0.2491

0.2491

0.2491

0.2492

0.2492

0.2492

0.2492

0.2492

0.2493

0.2493

0.2493

0.2493

0.2494

0.2494

0.2494

0.2496

0.2478

0.2442

0.2407

0.2372

0.2337

0.2304

0.2270

0.2256

149-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.306 0.9001 €22/ell- 1.50

R* Hi ^12 ^22 ^11 ^12 ^22

0.850 0.0003 0.0001 0.0000 1 .0000 1 .0000 0.0000

0.875 0.0081 0.0026 0.0005 1,.0000 1 .0000 0.0000

0.900 0.0602 0.0294 0.0100 1,.0000 1,.0000 0.0000

0.925 0.2250 0.1430 0.0702 1 .0000 1 .0000 0.0004

0.950 0.5343 0.4038 0.2353 1 .0000 1 .0000 0.0018

0.975 0.9271 0.7879 0.5324 1 .0000 1 .0000 0.0050

1.000 1.3096 1.1908 0.8666 1,.0000 1 .0000 0.0106

1.025 1.6091 1.5203 1.1729 1,.0000 1 .0000 0.0180

1.050 1.7993 1.7325 1.3575 1,.0000 1,.0000 0.0265

1.075 1.8881 1.8286 1.4473 1,.0000 1 .0000 0.0351

1.100 1.9024 1.8408 1.4633 1,.0000 1,.0000 0.0431

1.125 1.8692 1.7933 1.4316 1,.0000 1,.0000 0.0503

1.150 1.8081 1.7160 1.3706 1,.0000 1,.0000 0.0565

1.175 1.7312 1.6271 1.2884 1,.0000 1,.0000 0.0616

1.200 1.6500 1.5332 1.2208 1,.0000 1,.0000 0.0658

1.225 1.5682 1 . 4446 1.1505 1,.0000 0,.9997 0.0691

1.250 1.4927 1.3618 1.0996 1,.0000 .9991 0.0718

1.275 1.4211 1.2873 1.0461 1,,0000 .9976 0.0738

1.300 1.3561 1.2240 1.0118 1..0000 0,.9950 0.0754

1.325 1.2978 1.1686 0.9740 1,.0000 0,.9910 0.0767

1.350 1.2442 1.1194 0.9601 0..9999 0,.9859 0.0777

1.375 1.2003 1.0808 0.9511 0,.9995 0,.9799 0.0786

1.400 1.1567 1.0466 0.9437 0,.9987 0,.9735 0.0793

1.425 1.1213 1.0197 0.9532 0..9971 0,.9670 0.0801

1.450 1.0880 0.9999 0.9707 0..9944 0,.9608 0.0809

1.475 1.0617 0.9864 0.9842 0..9905 0..9550 0.0817

1.500 1.0361 0.9753 1.0067 0,.9856 0..9497 0.0826

1.525 1.0144 0.9703 1.0328 0..9798 0..9450 0.0836

1.550 0.9956 0.9703 1.0524 0,.9733 0,.9408 0.0846

1.575 0.9796 0.9745 1.0665 0,.9666 0..9373 0.0857

1.600 0.9646 0.9810 1.0706 0..9599 0,.9342 0.0867

1.625 0.9550 0.9901 1.0702 0,.9534 0,.9317 0.0877

1.650 0.9452 0.9998 1.0662 0.,9472 0,.9295 0.0887

1.675 0.9390 1.0116 1.0561 0..9414 0,.9277 0.0895

1.700 0.9340 1.0201 1.0483 0,,9361 0,.9262 0.0902

1.725 0.9307 1.0281 1.0406 0,,9314 0,,9249 0.0909

1.750 0.9278 1.0319 1.0300 0.,9271 0.,9239 0.0914

1.775 0.9291 1.0365 1.0210 0,,9233 0,,9230 0.0919

1.800 0.9301 1.0367 1.0154 0.,9200 0.,9223 0.0923

1.825 0.9331 1.0326 1.0077 0,,9171 0,,9217 0.0927

1.850 0.9375 1.0290 1.0020 0,,9145 0.,9210 0.0930

1.875 0.9432 1.0254 0.9936 0,,9123 0,,9205 0.0933

1.900 0.9483 1.0189 0.9969 0.,9105 0,,9199 0.0935

1.925 0.9561 1.0129 0.9972 0.,9089 0.,9193 0.0937

1.950 0.9635 1.0060 1.0016 0,,9076 0.,9187 0.0940

1.975 0.9697 1.0005 1.0062 0,,9065 0.,9180 0.0942

2.000 0.9758 0.9955 1.0065 0.,9056 0,,9174 0.0944

2.025 0.9833 0.9919 1.0067 0,,9049 0.,9166 0.0946

2.050 0.9886 0.9864 1.0057 0.,9043 0,,9159 0.0949

2.075 0.9941 0.9832 1.0095 0.,9039 0.,9151 0.0951

2.100 0.9976 0.9811 1.0084 0,,9035 0,,9143 0.0953

2.125 0.9987 0.9775 1.0076 0,,9033 0,,9135 0.0955

2.150 1.0001 0.9775 1.0095 0.,9031 0.,9127 0.0957

2.175 1.0010 0.9765 1.0078 0.,9030 0.,9120 0.0958

2.200 1.0007 0.9783 1.0116 0.,9029 0.,9113 0.0960

2.225 0.9999 0.9802 1.0100 0,,9029 0.,9107 0.0962

2.250 0.9986 0.9811 1.0069 0.,9028 0.,9101 0.0963

2.275 0.9956 0.9851 1.0059 0.,9028 0.,9096 0.0964

2.300 0.9949 0.9884 1.0035 0. 9028 0. 9091 0.0966

2.325 0.9912 0.9888 1.0009 0.,9028 0. 9087 0.0967

2.350 0.9887 0.9934 0.9987 0.,9028 0. 9083 0.0968

2.375 0.9852 0.9956 1.0001 0..9027 0. 9080 0.0969

2.400 0.9829 0.9979 0.9997 0.,9026 0. 9077 0.0970

2.425 0.9805 0.9996 1.0017 0.,9026 0. 9074 0.0970

2.450 0.9785 1.0008. 1.0041 0.,9025 0. 9071 0.0971

2.475 0.9758 1.0017 1.0022 0. 9023 0. 9069 0.0972

2.500 0.9748 1.0015 1.0013 0. 9022 0. 9067 0.0973

2.525 0.9734 1.0025 1.0007 0. 9020 0. 9066 0.0974

150-
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

2.800

2.825

850

875

900

925

950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

,650

,675

,700

.725

.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9716

0.9717

0.9706

0.9717

0.9712

0.9717

0.9722

0.9735

0.9746

0.9759

0.9780

0.9799

0.9816

0.9843

0.9853

0.9888

0.9900

0.9939

0.9961

0.9981

0006

0021

0039

0050

0061

0066

0077

0080

0078

0081

1.0080

1.0074

1.0068

1.0068

1.0068

1.0054

1.0051

1.0046

1.0037

1.0031

1.0023

1.0025

1.0020

1.0017

1.0012

1.0016

1.0009

1.0002

0.9999

1.0007

1.0001

1.0006

0.9996

1.0002

1.0025

1.0029

0.9996

1.0013

1.0015

1.0006

0.9992

0.9992

0.9974

0.9977

0.9980

0.9995

0.9985

0.9986

0.9990

0.9994

1.0001

0.9998

1.0001

1.0011

1.0013

1.0017

1.0007

1.0007

1.0016

1.0021

1.0025

1.0025

1.0017

1.0019

1.0022

1.0017

0005

0009

0004

0005

0000

,0012

0014

0018

0010

,0017

0010

0007

0019

0013

0013

,0007

0021

0017

1.0014

1.0006

1.0004

1.0009

1.0006

1.0008

1.0011

1.0010

1.0010

1.0011

1.0005

1.0014

1.0006

1.0000

1.0017

1.0039

1.0088

1.0062

1.0105

1.0042

1.0061

1 . 0040

1.0022

1.0049

1.0004

1.0034

1.0026

1.0018

1.0028

1.0033

1.0021

1.0027

1.0039

1.0036

1.0041

1.0053

1.0038

0045

0029

0034

0064

0047

0038

0033

0025

0051

1.0050

1.0033

1.0011

1.0037

1.0030

1.0036

1.0036

1.0017

1.0038

1.0039

1.0034

1.0050

0039

0034

0041

0038

0023

0060

1.0036

1.0066

1.0054

1.0073

1.0067

1.0072

1.0071

1.0069

1.0000

0.9019

0.9017

0.9015

0.9013

0.9011

0.9009

0.9007

0.9006

0.9004

0.9003

0.9001

0.9000

0.8999

0.8999

0.8998

0.8998

0.8997

0.8997

0.8997

0.8998

0.8998

0.8998

0.8999

0.8999

0.9000

0.9000

0.9001

0.9002

0.9002

0.9003

0.9003

0.9004

0.9005

0.9005

0.9005

0.9006

0.9006

0.9006

0.9006

0.9006

0.9007

0.9007

0.9007

0.9007

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9005

0.9005

0.9005

0.9005

0.9005

0.9005

0.9064

0.9062

0.9060

0.9059

0.9057

0.9055

0.9054

0.9052

0.9050

0.9049

0.9047

0.9046

. 9044

0.9043

0.9042

0.9040

0.9039

0.9038

0.9037

0.9036

0.9035

0.9034

0.9033

0.9033

0.9032

0.9031

0.9030

0.9030

0.9029

0.9029

0.9028

0.9027

0.9027

0.9026

0.9026

0.9025

0.9025

0.9024

0.9023

0.9023

0.9022

0.9022

0.9021

0.9021

0.9020

0.9020

0.9019

0.9019

0.9019

0.9018

0.9018

0.9017

0.9017

0.9017

0.9017

0.9016

0.9016

0.9016

0.9015

0.0974

0.0975

0.0976

0.0977

0.0978

0.0978

0.0979

0.0980

0.0980

0.0981

0.0981

0.0982

0.0982

0.0983

0.0983

0.0983

0.0984

0.0984

0.0985

0.0985

0.0986

0.0986

0.0986

0.0987

0.0987

0.0987

0.0988

0.0988

0.0989

0.0989

0.0989

0.0989

0.0990

0.0990

0.0990

0.0990

0.0991

0.0991

0.0991

0.0991

0.0992

0.0992

0.0992

0.0992

0.0992

0.0993

0.0993

0.0993

0.0993

0.0993

0.0993

0.0994

0.0994

0.0994

0.0994

0.0994

0.0995

0.0995

0.0995

151
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/CTll= 2.00 'p*= 0.322 x = 0.9502 c22/ell- 1.50

R* Sll &12 ^22 ^11 ^12 ^22

.850 .0003 0.0000 .0001 1.0000 1 .0000 0.0000

.875 .0072 0.0022 .0006 1 . 0000 1 .0000 0.0000

.900 .0542 0.0261 .0087 1 . 0000 1 .0000 0.0000

.925 .2044 0.1295 .0540 1 . 0000 1 .0000 0.0002

.950 .4876 0.3650 .2066 1.0000 1 .0000 0.0007

.975 .8525 0.7182 .4610 1.0000 1 .0000 0.0022

1 .000 1 .2122 1.0897 0,.7656 1.0000 1 .0000 0.0046

1,.025 1 .4920 1.3968 1,.0512 1.0000 1 .0000 0.0080

1,.050 1 .6723 1.6067 1,.2187 1.0000 1 .0000 0.0118

1,.075 1 .7633 1.7030 1 .3367 1.0000 1 .0000 0.0158

1,.100 1 .7872 1.7206 1,.3360 1.0000 1 .0000 0.0196

1,.125 1 .7649 1.6888 1,.3179 1.0000 1 .0000 0.0230

1,.150 1 .7117 1.6265 1,.2781 1.0000 1 .0000 0.0260

1,.175 1,.6475 1.5481 1 .2135 1.0000 1,.0000 0.0285

1,.200 1,.5730 1.4648 1,.1739 1.0000 1,.0000 0.0306

1,,225 1 .5000 1.3859 1..1010 1.0000 0,.9999 0.0323

1..250 1,.4336 1.3124 1,.0682 1.0000 0,.9996 0.0336

1,.275 1,.3695 1.2438 1,.0221 1.0000 .9990 0.0347

1,.300 1 .3105 1.1878 0,.9954 1.0000 .9978 0.0356

1,.325 1,.2584 1.1417 0,.9758 1.0000 0,.9961 0.0363

1,.350 1,.2117 1.0992 0,.9537 0.9999 0,.9938 0.0369

1..375 1,.1697 1.0620 0,.9564 0.9998 0,.9911 0.0374

1,.400 1,.1336 1.0338 0,.9363 0.9994 0,.9882 0.0378

1..425 1,.1005 1.0113 0,,9611 0.9987 0,.9852 0.0383

1,,450 1..0725 0.9951 0,.9835 0.9975 0,.9822 0.0388

1,,475 1,.0460 0.9779 1,.0010 0.9957 0,.9795 0.0393

1,,500 1,.0244 0.9726 1,.0150 0.9935 0,.9770 0.0398

1,,525 1,.0064 0.9659 1,.0487 0.9908 0..9747 0.0404

1,,550 0,.9898 0.9697 1,.0631 0.9878 0,.9727 0.0409

1,,575 0..9753 0.9749 1,.0772 0.9847 0,.9710 0.0415

1,,600 0,.9653 0.9852 1,.0869 0.9815 0..9694 0.0421

1,,625 0,.9548 0.9953 1..0920 0.9784 0,.9681 0.0427

1,,650 0..9474 1.0083 1,.0948 0.9755 0,.9670 0.0432

1,,675 0,.9423 1.0192 1,.0947 0.9727 0..9661 0.0438

1..700 0..9396 1.0288 1..0843 0.9701 0,.9653 0.0442

1,,725 0,.9350 1.0363 1,.0696 0.9678 0,.9646 0.0447

1,,750 0..9344 1.0430 1..0623 0.9657 0.,9641 0.0450

1,,775 0,.9362 1.0433 1..0506 0.9638 0.,9636 0.0454

1,,800 0..9370 1.0491 1..0502 0.9621 0.,9631 0.0456

1,,825 0,.9405 1.0457 1,,0438 0.9606 0,.9627 0.0459

1,,850 0,.9459 1.0427 1.,0344 0.9594 0,,9624 0.0462

1,,875 0,.9520 1.0382 1,,0339 0.9582 0,,9620 0.0464

1,,900 0,,9577 1.0339 1.,0300 0.9573 0,,9617 0.0466

1,,925 0,,9651 1.0278 1,.0227 0.9565 0,,9614 0.0467

1,,950 0,,9718 1.0230 1,.0219 0.9558 0.,9610 0.0469

1,,975 0,,9808 1.0166 1..0193 0.9552 0,,9606 0.0470

2,,000 0.,9869 1.0122 1,.0252 0.9548 0.,9602 0.0472

2,,025 0.,9946 1.0058 1..0294 0.9544 0.,9598 0.0473

2,,050 1,.0020 1.0045 1..0303 0.9541 0,,9594 0.0475

2.,075 1.,0061 1.0000 1..0278 0.9538 0.,9589 0.0476

2.,100 1.,0102 0.9950 1,.0398 0.9536 0.,9585 0.0478

2.,125 1.,0129 0.9925 1,.0299 0.9535 0,,9580 0.0479

2.,150 1.,0152 0.9913 1,.0282 0.9534 0,,9576 0.0480

2.,175 1.,0166 0.9894. 1,.0282 0.9533 0,,9572 0.0481

2. 200 1,,0160 0.9891 1,.0360 0.9532 0,,9568 0.0482

2.,225 1,,0160 0.9897 1,.0340 0.9532 0.,9564 0.0484

2.,250 1.,0143 0.9906 1,.0300 0.9531 0.,9560 0.0485

2.,275 1,,0126 0.9910 1..0299 0.9531 0.,9556 0.0485

2.,300 1..0107 0.9930 1..0242 0.9531 0.,9553 0.0486

2. 325 1.,0086 0.9943 1,.0218 0.9531 0.,9551 0.0487

2.,350 1,,0059 0.9953 1,.0201 0.9530 0.,9548 0.0488

2.,375 1,,0026 0.9950 1,.0108 0.9530 0.,9546 0.0488

2.,400 1,.0004 0.9972 1,.0146 0.9529 0.,9544 0.0489

2.,425 0,.9972 0.9964 1,.0153 0.9528 0.,9541 0.0489

2.,450 0,.9949 0.9980 1,.0067 0.9528 0.,9540 0.0490

2.,475 0,.9932 0.9980 1,.0070 0.9527 0. 9538 0.0490

2.,500 0,.9913 0.9985 1..0089 0.9526 0.,9536 0.0490

2.,525 0..9894 1.0000 1..0012 0.9525 0.,9535 0.0491

-152
2.550

2.575

2.600

2.625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

3.000

3.025

3.050

3.075

100

125

150

175

200

225

250

275

300

325

350

375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

800

825

850

875

900

925

950

975

4.000

0.9875

0.9863

0.9857

0.9851

0.9849

0.9838

0.9847

0.9846

0.9848

0.9857

0.9860

0.9873

0.9888

0.9884

0.9897

0.9910

0.9928

0.9942

0.9954

0.9967

0.9980

0.9990

1.0000

1.0004

1.0012

1.0025

1.0031

1.0030

1.0027

1.0034

1.0030

1.0036

1.0031

1.0025

1.0025

1.0018

1.0015

1.0014

1.0008

1.0010

1.0007

0.9998

1.0006

0.9996

1.0002

0.9999

0.9993

0.9993

0.9992

0.9995

0.9997

0.9995

0.9992

0.9995

0.9997

1.0000

1.0000

1.0000

1.0000

0.9992

1.0009

1.0005

0.9982

1.0007

0.9988

0.9985

0.9989

0.9989

0.9974

0.9971

0.9968

0.9974

0.9970

0.9967

0.9964

0.9977

0.9977

0.9989

0.9985

0.9988

0.9990

0.9988

0.9978

0.9984

0.9995

0.9986

1.0003

0.9994

0.9996

1.0001

0.9999

0.9987

1.0009

1.0006

0.9994

0008

0007

0011

0004

0006

0.9992

0000

0003

0008

0.9998

1.0010

0.9999

0.9999

1.0014

1.0011

1.0008

1.0006

1.0007

1.0005

1.0007

1.0007

1.0009

1.0000

1.0048

1.0079

1.0033

1.0084

1.0105

1.0085

1.0035

1.0013

1.0011

1.0059

1.0068

1.0069

1.0107

1.0028

1.0099

1.0063

0.9967

1.0030

1.0007

1.0036

1.0108

,0003

.0014

.0011

.0012

.0018

1.0028

0.9980

0.9991

0.9990

1.0062

0.9998

1.0035

1.0033

1.0005

0.9974

0.9948

0.9957

0.9954

0.9947

0.9941

1.0010

0.9946

1.0000

1.0039

1.0015

0.9968

0.9940

0.9965

0.9974

0.9980

0.9987

0.9917

0.9956

0.9977

1.0025

1.0013

1.0038

1.0000

0.9523

0.9522

0.9521

0.9520

0.9518

0.9517

0.9516

0.9515

0.9513

0.9512

0.9511

0.9511

0.9510

0.9509

0.9508

0.9508

0.9507

0.9507

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9505

0.9505

0.9505

0.9505

0.9505

0.9505

0.9505

0.9505

0.9505

0.9505

0.9533

0.9532

0.9531

0.9530

0.9529

0.9528

0.9527

0.9526

0.9524

0.9523

0.9522

0.9521

0.9520

0.9520

0.9519

0.9518

0.9517

0.9516

0.9515

0.9515

0.9514

0.9513

0.9513

0.9512

0.9512

0.9512

0.9511

0.9511

0.9510

0.9510

0.9510

0.9510

0.9509

0.9509

0.9509

0.9509

0.9509

0.9508

0.9508

0.9508

0.9508

0.9508

0.9507

0.9507

0.9507

0.9507

0.9507

0.9507

0.9507

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9505

0.9505

0.0491

0.0491

0.0492

0.0492

0.0492

0.0492

0.0493

0.0493

0.0493

0.0493

0.0493

0.0494

0.0494

0.0494

0.0494

0.0494

0.0494

0.0495

0.0495

0.0495

0.0495

0.0495

0.0495

0.0495

0.0495

0.0495

0.0495

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

-153
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.111 x = 0.0498 c22/cll= 2.00

R* '11 '12 '22 11 12 22

.850 .0014 .0000 .0000 1,.0000 .0000

.875 .0108 .0020 .0001 1 .0000 .0000

.900 .1059 .0278 .0059 1,.0000 .0000

.925 .3805 .1714 .0674 1,.0000 .0000

.950 0,.8819 0,.5464 .3321 1,.0000 .0000

.975 1,.4657 1,.1537 0,.9087 1,.0000 .0000

1,.000 2,.0032 1,.8085 1,.6630 1,.0000 .0000

1 .025 2 .3799 2,.3284 2..3199 1 .0000 .0000

1 .050 2 .6524 2,.6234 2..7001 1,.0000 .0000

1,,075 2 .7711 2..7215 2..7953 1,.0000 .0000

1 .100 2 .6260 2..6610 2..6763 1,.0000 .0000

1,.125 2,.4812 2,.5069 2..4468 1,.0000 .0000

1,.150 2,.4660 2,.3237 2..1764 1,.0000 .0000

1 .175 2,.3389 2,,1203 I..9098 1,.0000 .9999

1,.200 2,.1226 1,.9228 1,.6669 1,.0000 0,.9972

1,.225 2,.0231 1,,7413 1,.4582 1,.0000 0,.9779

1,.250 .8828 1,.5853 1,.2833 1,.0000 .8995

1,.275 .7919 1,,4436 1,.1359 1,.0000 .7271

1,.300 ,6875 1,.3232 1,.0167 0,.9997 .5135

1,.325 ,5974 1,.2180 0,.9199 0,,9975 .3419

1,.350 ,4701 1,.1294 0,.8417 0,,9854 0,.2316

1,.375 ,4073 1,.0533 0,.7783 0,.9408 .1655

1,.400 ,3301 0,,9826 0,.7288 0,.8363 0,.1254

1,,425 ,2370 0,.9291 0,.6911 0,,6752 0,.1003

1,,450 ,1303 0,.8810 0,.6629 0,.5024 0,.0840

1.,475 ,1393 0,.8430 0,.6431 0,.3612 0,.0729

1,,500 ,1017 0,.8080 0..6301 0,.2621 0,.0652

1,,525 o',,9996 0,.7838 0..6243 0,,1961 0,.0596

1,.550 0,.9427 0,.7601 0,.6257 0,.1523 0,.0555

1,,575 0..9659 0,.7378 0,.6319 0..1230 0,.0525

1,,600 0..9299 0,.7264 0,.6441 0..1028 0,.0502

1,.625 0,,8960 0,.7150 0,.6617 0,.0884 0,.0485

1,.650 0,,8885 0,.7100 0,.6852 0,.0780 0..0472

1,.675 0,,8894 0,,7053 0,.7141 0..0702 0,.0462

1,.700 0,,8280 0,.7072 0,.7493 0..0643 0,.0454

1,.725 0,,8150 0,,7108 0..7886 0,.0597 0,.0449

1,.750 0,,8401 0,,7133 0,.8323 0..0561 0,.0446

1,.775 0,,7884 0,.7226 0,.8788 0,.0532 0,.0444

1,.800 0,,7877 0,,7343 0..9278 0..0509 0..0443

1,.825 0.,7973 0,,7443 0,.9760 0,.0491 0..0443

1,.850 0.,8103 0.,7586 ,0228 0,.0476 0,.0445

1,.875 0,,7971 0,.7757 .0667 0..0464 0,.0447

1..900 0,,7932 0.,7966. .1073 0..0454 0..0450

1..925 0,,7652 0,,8177 .1444 0,.0446 0,.0453

1..950 0,,7563 0,,8400 .1773 0,.0439 0..0457

1,.975 0,,7571 0.,8637 .2060 0,.0434 0,.0462

2,.000 0,,7593 0.,8892 .2291 0,.0430 0,.0467

2,.025 0,,7862 0.,9094 .2447 0,.0427 0,.0473

2,.050 0.,7699 0,.9334 .2529 0,.0424 0,.0478

2,.075 0.,7697 0..9574 .2513 0..0423 0,.0485

2,.100 0..7707 0,.9834 .2407 0,.0421 0,.0491

2,.125 0.,8019 .0030 .2214 0,.0421 0,.0498

2..150 0.,7652 .0262 .1953 0,.0421 0..0504

2,,175 0.,7932 .0478 .1638 0,.0422 0,,0511

2,,200 0.,7870 .0683 .1285 0,.0422 0..0517

2,,225 0,,8062 .0881 .0911 0,.0424 0,.0523

2,,250 0,,7992 .1081 .0552 0,.0425 0,,0529

2,.275 0.,8209 .1299 .0198 0,.0427 0,.0535

2..300 0,,8231 .1460 o!.9873 0,.0429 0,.0540

2.,325 0.,8487 .1634 0,.9574 0,.0432 0..0545

2.,350 0,,8884 .1760 0,.9308 0,.0435 0,.0549

2.,375 0..8621 .1902 0,.9086 0,.0438 0,,0553

2.,400 0,.8846 .1927 0,.8904 0.,0441 0,,0556

2,,425 0,,8956 .1934 0,.8770 0,.0445 0,,0558

2.,450 0..9020 .1883 0,.8670 0,,0448 0.,0559

2,.475 0,.9315 .1808 0,.8606 0,.0452 0,.0560

2,.500 0,.9198 .1672 0,.8592 0,,0456 0,,0559

2.,525 0,.9276 .1502 0..8613 0,.0460 0.,0558

0.0000

0.0001

0.0028

0.0389

0.2062

0.4865

0.7011

0.8161

0.8746

0.9059

0.9239

0,9348

0.9419

0.9466

0.9498

0.9520

0.9535

0.9546

0.9552

0.9556

0.9557

0.9556

0.9554

0.9550

0.9546

0.9540

0.9533

0.9525

0.9517

0.9509

0.9500

0.9492

0.9483

0.9475

0.9467

0.9460

0.9454

0.9449

. 9444

0.9442

0.9441

0.9441

0.9442

0.9445

0.9449

0.9453

0.9459

0.9465

0.9471

0.9477

0.9483

0.9489

0.9494

0.9499

0.9503

0.9506

0.9508

0.9510

0.9512

0.9512

0.9512

0.9512

0.9511

0.9510

0.9508

0.9507

0.9505

0.9502

154
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.115

2.800

2.825

2.850

2.875

900

925

950

975

000

025

050

075

100

125

150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

400

425

450

475

3.500

3.525

3.550

3.575

3.600

3.625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

000

0.9338

0.9616

0.9352

0.9808

0.9921

1.0091

0.9837

1.0113

1.0238

1.0383

1.0478

1.0550

1.0872

0822

0845

1029

1177

1257

1.1654

1.1417

1.1544

1.1648

1.1655

1.1651

,1608

,1792

,1674

,1529

,1435

1362

1397

1135

1104

0896

1.0893

1.0709

1.0635

1.0513

1.0513

1.0269

1.0188

0.9819

0.9788

0.9939

0.9697

0.9554

0.9415

0.9642

0.9672

0.9358

0.9350

0.9248

0.9323

0.9232

0.9259

0.9287

0.9201

0.9257

1.0000

1.1328

1.1134

1.0911

1.0717

1.0487

1.0307

1.0108

0.9909

0.9736

0.9595

0.9456

0.9320

0.9228

0.9141

0.9076

0.9035

0.8982

0.8984

0.8989

0.8987

0.9025

0.9065

0.9128

0.9214

0.9275

0.9357

0.9460

0.9544

0.9645

0.9728

0.9840

0.9936

0034

0113

0187

0283

0351

0405

0450

1.0507

1.0550

1.0573

1.0573

,0584

,0580

,0545

,0541

0511

1.0482

1.0439

0403

0348

0299

0229

0175

1.0112

1.0050

0.9999

1.0000

0.8675

0.8767

0.8879

0.9022

0.9187

0.9363

0.9548

0.9738

0.9925

1.0109

1.0278

1.0430

1.0561

1.0667

1.0748

1.0806

1.0834

1.0841

1.0819

1.0781

1.0721

1.0651

1.0559

1.0466

1.0362

1.0254

1.0147

1.0036

0.9933

0.9835

0.9747

0.9671

0.9606

0.9553

0.9517

0.9492

0.9484

0.9496

0.9519

0.9556

0.9601

0.9656

0.9720

0.9786

0.9860

0.9933

1.0004

1.0073

0133

0190

0242

0281

0308

0325

0332

0331

0320

0299

0000

0.0464

0.0468

0.0472

0.0475

0.0480

0.0484

0.0488

0.0491

0.0495

0.0499

0.0503

0.0506

0.0510

0.0513

0.0516

0.0519

0.0522

0.0525

0.0527

0.0530

0.0532

0.0534

0.0536

0.0538

0.0539

0.0540

0.0541

0.0542

0.0542

0.0542

0.0541

0.0541

0.0540

0.0539

0.0538

0.0536

0.0534

0.0532

0.0530

0.0528

0.0526

0.0523

0.0521

0.0518

0.0515

0.0513

0.0510

0.0508

0.0506

0.0504

0.0501

0.0500

0.0498

0.0496

0.0495

0.0493

0.0492

0.0491

0.0490

0.0557

0.0554

0.0551

0.0548

0.0544

0.0540

0.0535

0.0531

0.0526

0.0521

0.0517

0.0512

0.0508

0.0505

0.0501

0.0498

0.0496

0.0493

0.0492

0.0490

0.0489

0.0488

0.0488

0.0488

0.0488

0.0488

0.0489

0.0490

0.0491

0.0492

0.0493

0.0495

0.0497

0.0498

0.0500

0.0501

0.0503

0.0504

0.0506

0.0507

0.0508

0.0509

0.0510

0.0511

0.0511

0.0512

0.0512

0.0512

0.0512

0.0512

0.0511

0.0511

0.0510

0.0509

0.0509

0.0508

0.0507

0.0506

0.0505

0.9500

0.9498

0.9496

0.9494

0.9493

0.9491

0.9490

0.9489

0.9488

0.9488

0.9488

0.9488

0.9489

0.9489

0.9490

0.9491

0.9492

0.9494

0.9495

0,9496

0.9497

0.9498

0.9499

0.9499

0.9500

0.9500

0.9501

0.9501

0.9501

0.9501

0.9500

0.9500

0.9500

0.9499

0.9499

0.9499

0.9498

0.9498

0.9497

0.9497

0.9497

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9497

0.9497

0.9497

0.9498

0.9498

0.9498

0.9499

0.9499

0.9499

0.9500

-155
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . all/a\\= 2.00 p*- 0.116 x-- 0.0999 e22/€ll- 2.00

R* Sll ^12 §22 ^11 ^12 ^22

0,.850 0,,0014 .0000 .0000 1 .0000 1 .0000 0,.0000

0,.875 0,.0133 .0020 .0001 1 .0000 1 .0000 0,.0000

0,.900 0,.0979 .0285 0,.0058 1 .0000 1 .0000 0,.0013

0,.925 0,.3462 .1692 0,.0671 1 .0000 1 .0000 0,.0187

0,.950 0,.7806 .5453 0,.3296 1 .0000 1 .0000 0,.1090

0,.975 1,.3363 1 .1467 0,.9018 1 .0000 1 .0000 0,.3085

1,,000 1,.8747 1,.8014 1,.6495 1 .0000 1 .0000 .5247

1,.025 2,,2148 2,.3149 2,,3024 1 .0000 1 .0000 0,.6762

1,.050 2,,4759 2,.6185 2 ,6829 1 .0000 1 .0000 0,.7664

1,,075 2,,5955 2,.7089 2,,7770 1 .0000 1 .0000 0,.8191

1,,100 2,,4588 2,.6522 2,,6625 1 .0000 1 .0000 0,.8509

1,,125 2.,3761 2,.5001 2,,4333 1 .0000 1 .0000 0,.8710

1.,150 2.,2778 2,.3051 2,,1657 1 .0000 1 .0000 0,.8841

1,,175 2.,0948 2,.1125 1.,9010 1 .0000 .9999 0,.8929

1,,200 1,,9931 1,,9128 1,,6599 1 .0000 .9987 0,,8989

1,,225 1,,8635 1,,7381 1,,4542 1 .0000 .9895 0,,9031

1,,250 1,,7163 1,,5824 1,,2808 1 .0000 .9499 0,.9060

1,,275 1,,6252 1,,4416 1,,1369 1 .0000 .8497 0,,9079

1,,300 1,,5113 1,,3161 1,,0189 .9999 .6915 0,,9092

1,,325 1,,3902 1,,2148 0,,9224 .9987 ,5246 0,,9099

1,,350 1..3336 1,,1291 0,,8457 .9922 .3905 0,,9101

1,,375 1,,2846 1,,0499 0.,7843 .9686 .2964 0,,9100

1,,400 1,,2230 0,,9895 0,,7359 .9090 0,.2336 0,,9095

1,,425 1.,1515 0,,9316 0.,6993 .8024 0,.1916 0,,9089

1,,450 1.,1077 0.,8837 0,,6713 0,.6640 0,.1631 0,,9080

1,,475 1.,0741 0.,8461 0,,6535 0,.5259 0,.1432 0.,9069

1,,500 1,,0166 0.,8128 0.,6421 0,.4108 0,.1290 0.,9057

1.,525 0,,9675 0.,7879 0,,6376 0,.3240 0,.1187 0.,9043

1.,550 0,,9354 0.,7650 0,,6383 0,.2614 0,.1111 0,,9029

1.,575 0,.9083 0.,7473 0.,6457 .2166 0,,1054 0.,9013

1.,600 0,,8974 0.,7378 0,,6581 0,,1843 0,,1011 0,,8998

1,,625 0.,8764 0,,7269 0.,6751 0,.1608 0,,0978 0,,8982

1,,650 0.,8563 0.,7193 0.,6970 .1433 0,,0953 0,,8967

1,,675 0..8311 0,,7181 0,,7237 0,,1300 0,,0934 0,,8952

1.,700 0..8112 0,,7170 0,,7562 0,,1198 0,,0921 0,,8938

1,,725 0,.7925 0,,7196 0.,7926 0,,1118 0,,0911 0,,8925

1,,750 0,.7894 0,,7266 0,,8340 0,,1055 0,,0904 0,,8914

1,,775 0,.7566 0,,7351 0,,8786 0,,1005 0.,0901 0.,8904

1,,800 0,.7768 0,,7433 0.,9245 0,,0964 0,,0899 0,,8897

1,,825 0,.7538 0,,7544 0,,9708 0,,0931 0.,0900 0,,8891

1,,850 0,.7477 0,,7683 1,,0149 0,,0904 0,,0902 0,,8889

1,,875 0,.7267 0,,7843 1,,0585 0,,0882 0,,0906 0.,8889

1,,900 0,.7386 0,,8025 1,,0985 0.,0864 0,,0911 0,,8891

1,,925 0,,7363 0.,8199 1,,1345 0,,0850 0,,0918 0,,8896

1,,950 0,,7361 0.,8432 1,,1665 0.,0838 0,,0925 0.,8902

1,,975 0,,7396 0,,8629 1.,1948 0,,0829 0,,0934 0,,8911

2,,000 0,,7358 0,,8847 1,,2191 0,,0822 0.,0943 0.,8920

2,,025 0,,7466 0,,9093 1,,2362 0,,0816 0.,0953 0,,8931

2,,050 0.,7585 0,,9316 1.,2439 0,,0813 0,,0964 0.,8943

2,,075 0,,7572 0.,9521 1,.2441 0,,0811 0..0975 0.,8954

2,.100 0,,7647 0.,9779 1..2350 0.,0809 0,.0987 0.,8965

2,.125 0.,7722 0.,9987 1,.2166 0,,0809 0..0998 0.,8976

2,.150 0.,7648 1,,0216 1..1913 0.,0810 0,.1010 0. 8986

2,.175 0.,7687 1.,0394 1,.1604 0.,0812 0,.1022 0.,8994

2,.200 0,,7666 1,,0619 1..1267 0,,0814 0..1033 0.,9001

2 .225 0,,7788 1,,0818 1,.0920 0,,0816 0,.1044 0. 9007

2,.250 0,,7813 1.,1019 1,.0564 0,,0819 0,.1055 0.,9012

2 .275 0,,7918 1.,1231 1..0215 0,,0823 0.,1065 0. 9016

2,.300 0.,8058 1.,1412 0,,9895 0,,0828 0.,1075 0. 9018

2 .325 0,,7978 1,,1560 0,.9612 0,,0832 0.,1084 0. 9019

2 .350 0,,8028 1,,1715 0,.9360 0,,0837 0,,1091 0. 9019

2 .375 0.,8237 1.,1839 0,.9142 0,,0842 0.,1098 0. 9019

2 .400 0,,8300 1,,1870 0,.8970 0,,0848 0.,1103 0. 9017

2 .425 0,,8299 1,,1890 0..8836 0,.0854 0.,1108 0. 9015

2 .450 0,,8457 1,,1846 0..8743 0,.0860 0.,1110 0. 9012

2 .475 0.,8629 1,,1757 0..8686 0,.0866 0.,1112 0. 9009

2 .500 0,,8679 1,,1635 0..8667 0,.0873 0. 1111 0. 9006

2 .525 0,,8856 1,,1485 0,.8687 0,.0880 0.,1110 0. 9002

156
,550

.575

,600

,625

,650

,675

700

725

2.750

2.775

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

100

125

150

175

200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.8938

0.9108

0.9158

0.9339

0.9472

0.9570

0.9804

0.9936

0.9960

1.0071

1.0138

1.0297

,0592

,0603

,0627

,0795

,1068

,1030

,1139

,1235

,1324

,1433

,1419

,1392

,1398

,1280

1355

1183

,1107

1040

0919

0944

0771

0524

0527

0374

0244

0253

0.9971

0.9991

0.9884

0.9893

0.9787

0.9609

0.9630

0.9519

0.9437

0.9314

0.9279

0.9254

0.9266

0.9212

0.9164

0.9167

0.9167

0.9134

0.9131

0.9192

1.0000

1.1304

1.1113

1.0907

1.0698

1.0517

1.0302

1.0103

0.9928

0.9762

0.9597

0.9463

0.9360

0.9263

0.9175

0.9120

0.9080

0.9060

0.9050

0.9049

0.9061

0.9088

0.9130

0.9195

0.9251

0.9327

0.9393

0.9483

0.9558

0.9645

0.9752

0.9838

0.9931

1.0023

1.0105

1.0187

1.0241

1.0314

1.0373

1.0414

1.0448

1.0488

1.0507

1.0543

1.0534

1.0545

1.0527

1.0522

1.0504

1.0465

1.0424

1.0381

1.0334

1.0275

1.0237

1.0171

1.0120

1.0061

1.0004

1.0000

0.8745

0.8835

0.8941

0.9073

0.9230

0.9396

0.9563

0.9735

0.9917

0081

0239

0377

0502

0609

1.0684

1.0745

1.0778

1.0778

0770

0735

0690

0627

0551

0456

0364

0262

0161

0055

0.9955

0.9863

0.9778

0.9706

0.9644

0.9595

0.9553

0.9529

0.9527

0.9532

0.9551

0.9586

0.9625

0.9679

0.9737

0.9802

0.9865

0.9934

1.0000

1.0063

1.0119

1.0171

1.0218

1.0249

1.0279

1.0296

1.0304

1.0302

1.0293

1.0279

1.0000

0.0887

0.0894

0.0901

0.0909

0.0916

0.0923

0.0931

0.0938

0.0946

0.0953

0.0960

0.0967

0.0974

0.0981

0.0987

0.0993

0.0999

0.1005

0.1010

0.1015

0.1020

0.1025

0.1029

0.1032

0.1035

0.1038

0.1040

0.1041

0.1042

0.1042

0.1042

0.1042

0.1041

0.1039

0.1037

0.1034

0.1031

0.1028

0.1024

0.1020

0.1016

0.1012

0.1008

0.1004

0.0999

0.0995

0.0991

0.0987

0.0983

0.0979

0.0976

0.0973

0.0970

0.0967

0.0965

0.0962

0.0961

0.0959

0.0958

0.1107

0.1103

0.1098

0.1092

0.1085

0.1077

0.1069

0.1060

0.1052

0.1043

0.1035

0.1027

0.1019

0.1012

0.1006

0.1000

0.0995

0.0991

0.0988

0.0985

0.0983

0.0982

0.0981

0.0981

0.0981

0.0982

0.0983

0.0984

0.0986

0.0989

0.0991

0.0994

0.0996

0.0999

0.1002

0.1005

0.1007

0.1010

0.1013

0.1015

0.1017

0.1019

0.1020

0.1021

0.1022

0.1023

0.1024

0.1024

0.1024

0.1023

0.1023

0.1022

0.1021

0.1020

0.1018

0.1017

0.1015

0.1014

0.1012

0.8998

0.8994

0.8991

0.8987

0.8984

0.8982

0.8980

0.8978

0.8977

0.8976

0.8976

0.8977

0.8977

0.8979

0.8980

0.8982

0.8984

0.8986

0.8988

0.8990

0.8992

0.8994

0.8995

0.8996

0.8997

0.8998

0.8999

0.8999

0.8999

0.8999

0.8999

0.8998

0.8997

0.8997

0.8996

0.8995

0.8994

0.8994

0.8993

0.8992

0.8992

0.8991

0.8991

0.8991

0.8991

0.8991

0.8991

0.8991

0.8991

0.8992

0.8992

0.8993

0.8994

0.8994

0.8995

0.8996

0.8996

0.8997

0.8997

157
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . <T22/all= 2.00 p*= 0.116 x.= 0.1001 e22/ell= 2.00

R* Sll §12 §22 ^11 ^12 ^22

0,.850 .0004 .0000 .0000 1.0000 1.0000 .0000

.875 .0182 .0019 .0001 1.0000 1.0000 .0000

0,.900 .0881 .0279 .0059 1.0000 1.0000 .0013

0,.925 .3468 .1696 .0673 1.0000 1.0000 .0188

0,.950 .8083 .5459 .3290 1.0000 1.0000 .1087

0,.975 1,.3180 1 .1450 .9004 1.0000 1.0000 .3076

1,.000 1,.8995 1 .7989 1 .6480 1 . 0000 1.0000 .5237

1..025 2 .2885 2 .3103 2,.2974 1.0000 1.0000 .6754

1..050 2 .4782 2 .6152 2 .6791 1 . 0000 1.0000 .7657

1..075 2 .5711 2 .7070 2 .7737 1.0000 1.0000 .8185

1..100 2 .5246 2,.6576 2,.6594 1.0000 1.0000 .8504

1,.125 2,.4210 2,.5066 2,.4318 1.0000 1.0000 .8705

1..150 2,.3001 2 .3156 2,.1666 1.0000 1.0000 .8837

1,.175 2,.1885 2,.1090 .9030 1 . 0000 0.9999 .8926

1,.200 2,.0325 .9189 .6636 1.0000 0.9987 .8987

1,,225 .8790 .7387 .4560 1.0000 0.9894 .9029

1,,250 .7602 .5808 ,2820 1.0000 0.9500 .9058

1.,275 .6679 .4396 .1371 1.0000 0.8502 .9077

1.,300 .5223 .3136 .0187 0.9999 0.6924 .9090

1,,325 .4365 .2124 o:,9238 0.9988 0.5257 .9096

1,,350 .3459 .1245 0,.8457 0.9926 0.3914 .9099

1.,375 .2647 .0489 0,.7837 0.9695 0.2973 .9098

1.,400 .2232 o:.9876 0,.7358 0.9106 0.2343 0,.9093

1,,425 .1587 0.,9330 0..6999 0.8050 0.1922 .9087

1.,450 .1111 0,.8825 0,.6722 0.6676 0.1636 .9078

1.,475 ,0639 0,.8449 0..6540 0.5299 0.1437 .9067

1.,500 ,0250 0.,8120 0,,6427 0.4146 0.1295 0,.9055

1.,525 o'.,9902 0,.7847 0,,6381 0.3276 0.1191 0,.9041

1,,550 0.,9594 0..7645 0,,6387 0.2646 0.1114 0,.9027

1,,575 0.,9373 0,.7480 0.,6454 0.2195 0.1057 0..9011

1.,600 0.,8986 0,,7342 0,.6575 0.1870 0.1013 0,.8996

1,,625 0.,8929 0,,7262 0,,6743 0.1631 0.0980 0..8980

1.,650 0,,8590 0,,7192 0.,6965 0.1454 0.0955 0..8965

1.,675 0.,8464 0.,7181 0,,7229 0.1319 0.0936 0,.8950

1.,700 0,,8253 0.,7210 0,,7552 0.1215 0.0923 0,.8936

1,,725 0,,7870 0,,7207 0,,7918 0.1134 0.0913 0,,8923

1,,750 0,,8020 0.,7260 0.,8333 0.1070 0.0906 0,.8911

1.,775 0,,7871 0,,7350 0,,8780 0.1019 0.0903 0,.8901

1,,800 0,,7936 0.,7419 0,,9239 0.0978 0.0901 0,.8894

1,,825 0,,7636 0,,7537 0.,9700 0.0945 0.0902 0,,8889

1.,850 0,,7632 0.,7659 1.,0144 0.0918 0.0904 0..8886

1,,875 0,,7541 0,,7824 1,,0574 0.0896 0.0908 0,,8886

1,,900 0,.7397 0.,8007 1,,0968 0.0877 0.0913 0,,8888

1,,925 0,,7607 0,,8211 1.,1340 0.0863 0.0920 0..8893

1,,950 0..7536 0,,8419 1,,1670 0.0852 0.0927 0,.8899

1.,975 0..7520 0,,8630 1.,1957 0.0842 0.0936 0.,8908

2,,000 0..7476 0,,8851 1.,2184 0.0835 0.0945 0,,8918

2,,025 0..7278 0,,9068 1,,2352 0.0829 0.0955 0,,8929

2.,050 0,.7535 0,,9297 1,,2437 0.0825 0.0966 0,,8940

2,,075 0,.7579 0,,9526 1.,2432 0.0823 0.0977 0,,8951

2.,100 0,,7622 0,,9743 1,,2340 0.0821 0.0989 0,,8963

2,,125 0,.7502 0.,9993 1.,2159 0.0821 0.1000 0,,8973

2,,150 0,.7646 1.,0197 1.,1907 0.0821 0.1012 0,,8983

2,,175 0,.7699 1,,0410 1.,1600 0.0822 0.1024 0.,8992

2,.200 0,.7819 1,,0625 1.,1265 0.0824 0.1035 0.,8999

2..225 0,.7935 1.,0831 1.,0914 0.0827 0.1047 0.,9005

2,.250 0,,7947 1,,1040 1.,0563 0.0830 0.1057 0.,9010

2,.275 0..7999 1,,1257 1.,0223 0.0834 0.1068 0.,9013

2,.300 0,.7965 1,,1421 0. 9904 0.0838 0.1077 0. 9015

2,.325 0,.8213 1.,1579 0.,9611 0.0843 0.1086 0. 9017

2.,350 0,.8181 1.,1718 0. 9365 0.0848 0.1094 0. 9017

2,.375 0,.8289 1.,1822 0. 9150 0.0854 0.1101 0. 9016

2.,400 0,.8489 1.,1866 0. 8971 0.0860 0.1106 0. 9015

2..425 0,.8700 1.,1886 0. 8836 0.0866 0.1110 0. 9013

2,,450 0,,8700 1.,1842 0.,8742 0.0873 0.1113 0. 9010

2,.475 0,,8897 1,,1737 0. 8689 0.0880 0.1114 0. 9007

2,.500 0,,8939 1,,1651 0. 8665 0.0887 0.1114 0. 9003

2,.525 0,,9162 1.,1483 0. 8690 0.0894 0.1113 0. 8999

158
2 .550 9182 1 1309 8749 0901 1110 8996 2 575 9255 1 1114 8828 0909 1106 8992 2 .600 9369 1 0893 8937 0916 1101 8988 2 .625 9531 1 0702 9073 0924 1094 8985 2 650 9597 1 0491 9221 0931 1087 8982 2 675 9856 1 0293 9386 0939 1080 8979 2 700 9899 1 0089 9558 0947 1071 8977 2 725 9937 9921 9735 0954 1063 8976 2 750 1 0132 9731 9912 0962 1054 8975 2 775 1 0276 9601 0078 0969 1046 8974 2 800 1 0257 9461 0235 0976 1037 8974 2 825 1 0601 9360 0377 0983 1029 8974 2 850 1 0590 9273 0498 0990 1022 8975 2 875 1 0645 9191 0603 0997 1015 8976 2 900 1 0661 9134 0683 1003 1008 8977 2 925 1 0985 9076 0737 1009 1003 8979 2 950 1 1040 9054 0768 1015 0998 8981 2 975 1 1099 9044 0777 1021 0994 8983 3 000 1 1326 9058 0759 1026 0990 8985 3 025 1 1365 9074 0733 1031 0988 8987 3 050 1 1301 9103 0684 1036 0986 8989 3 075 1 1426 9138 0620 1040 0984 8991 3 100 1 1385 9188 0537 1044 0983 8992 3 125 1 1471 9243 0456 1047 0983 8994 3 150 1 1381 9309 0356 1050 0983 8995 3 175 1 1383 9392 0256 1052 0984 8995 3 200 1 1300 9472 0158 1054 0985 8996 3 225 1 1273 9560 0057 1055 0987 8996 3 250 1 1266 9660 9959 1056 0989 8996 3 275 1 1182 9741 9866 1056 0991 8996 3 300 1 0992 9834 9780 1056 0993 8996 3 325 1 0980 9921 9705 1055 0996 8995 3 350 1 0836 1 0015 9644 1054 0999 8995 3 375 1 0748 1 0083 9591 1052 1002 8994 3 400 1 0679 1 0171 9556 1050 1004 8993 3 425 1 0496 1 0232 9537 1048 1007 8993 3 450 1 0494 1 0308 9528 1045 1010 8992 3 475 1 0401 1 0370 9536 1042 1012 8991 3 500 1 0253 1 0415 9551 1038 1015 8990 3 525 1 0155 1 0456 9587 1034 1017 8990 3 550 1 0107 1 0502 9627 1030 1019 8989 3 575 9913 1 0519 9673 1026 1021 8989 3 600 9848 1 0533 9735 1022 1023 8988 3 625 9758 1 0546 9794 1017 1024 8988 3 650 9728 1 0536 9866 1013 1025 8988 3 675 9646 1 0529 9930 1009 1026 8988 3 700 9523 1 0517 9993 1005 1026 8988 3 725 9527 1 0497 1 0058 1001 1026 8988 3 750 9434 1 0461 1 0115 0997 1026 8989 3 775 9474 1 0426 1 0165 0993 1026 8989 3 800 9316 1 0384 1 0211 0989 1025 8990 3 825 9380 1 0329 1 0249 0986 1024 8990 3 850 9292 1 0297 1 0274 0983 1023 8991 3 875 9352 1 0235 1 0294 0981 1022 8992 3 900 9396 1 0176 1 0300 0978 1021 8992 3 925 9353 1 0137 1 0300 0976 1019 8993 3 950 9310 1 0073 1 0290 0975 1018 8994 3 975 9337 1 0019 1 0275 0973 1016 8994 4 000 1 0000 1 0000 1 0000 0972 1015 8995

159-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a!22/all== 2.00 p*= 0.134 x^=0. 2500 €22/ell- 2. 00

R* Sll &12 ^22 ^11 ^12 ^22

.850 0.0006 .0000 0.0000 1.0000 1.0000 0.0000

.875 0.0152 .0019 0.0001 1.0000 1.0000 0.0000

.900 0.0925 .0273 0.0056 1.0000 1.0000 0.0004

.925 0.3442 .1655 0.0646 1.0000 1.0000 0.0062

.950 0.7963 .5368 0.3175 1.0000 1.0000 0.0382

.975 1.3357 1 .1280 0.8694 1.0000 1.0000 0.1265

1 .000 1.8700 1 .7675 1.5974 1.0000 1.0000 0.2641

1 .025 2.2416 2 .2780 2.2316 1.0000 1.0000 0.4047

1 .050 2.4778 2 .5737 2.6088 1.0000 1.0000 0.5166

1 .075 2.5181 2 .6665 2.7030 1.0000 1.0000 0.5960

1 .100 2.5301 2 .6021 2.6001 1.0000 1.0000 0.6504

1 .125 2.4127 2 .4700 2.3866 1.0000 1.0000 0.6876

1 .150 2.2770 2 .2876 2.1300 1.0000 1.0000 0.7133

1 .175 2.1521 2 .0884 1.8770 1.0000 1.0000 0.7312

1 .200 1.9763 1 .8990 1.6477 1.0000 0.9996 0.7438

1 .225 1.8593 1 .7218 1.4471 1.0000 0.9966 0.7526

1,.250 1.7398 1,.5644 1.2793 1.0000 0.9832 0.7587

1,.275 1.6285 1,.4293 1.1386 1.0000 0.9457 0.7629

1..300 1.5119 1,.3157 1.0263 1.0000 0.8735 0.7655

1,,325 1.4323 1,.2134 0.9351 0.9996 0.7725 0.7669

1..350 1.3610 1,.1284 0.8615 0.9975 0.6632 0.7674

1,.375 1.2698 1,.0532 0.8031 0.9898 0.5642 0.7672

1..400 1.2146 0,.9951 0.7575 0.9687 0.4834 0.7664

1,.425 1.1541 0,.9364 0.7237 0.9260 0.4212 0.7650

1..450 1.1246 0..8920 0.7041 0.8587 0.3742 0.7633

1,.475 1.0668 0,.8537 0.6898 0.7732 0.3389 0.7614

1,.500 1.0272 0,.8257 0.6827 0.6818 0.3124 0.7592

1.,525 0.9872 0..8015 0.6822 0.5958 0.2923 0.7568

1..550 0.9549 0,.7813 0.6849 0.5212 0.2770 0.7542

1.,575 0.9235 0,.7668 0.6942 0.4596 0.2653 0.7516

1.,600 0.9027 0,.7582 0.7036 0.4101 0.2562 0.7490

1,,625 0.8817 0,.7504 0.7174 0.3709 0.2493 0.7463

1,,650 0.8564 0,.7471 0.7349 0.3398 0.2440 0.7437

1,,675 0.8380 0..7451 0.7560 0.3150 0.2401 0.7411

1,,700 0.8273 0..7467 0.7818 0.2951 0.2371 0.7387

1.,725 0.8120 0,.7519 0.8113 0.2791 0.2351 0.7364

1,,750 0.8099 0,.7551 0.8431 0.2662 0.2337 0.7343

1,,775 0.8026 0,,7637 0.8781 0.2557 0.2329 0.7325

1..800 0.7885 0.,7732 0.9169 0.2472 0.2326 0.7311

1,.825 0.7754 0.,7820 0.9540 0.2401 0.2327 0.7300

1.,850 0.7868 0.,7941 0.9930 0.2344 0.2332 0.7293

1,.875 0.7745 0, 8061 1.0297 0.2298 0.2339 0.7291

1..900 0.7686 0. 8202 1.0659 0.2259 0.2350 0.7294

1..925 0.7650 0.,8362 1.1009 0.2228 0.2362 0.7300

1..950 0.7735 0. 8512 1.1320 0.2203 0.2376 0.7311

1,.975 0.7775 0. 8679 1.1594 0.2183 0.2392 0.7324

2..000 0.7701 0. 8864 1.1839 0.2168 0.2408 0.7341

2,.025 0.7736 0.,9073 1.2024 0.2156 0.2426 0.7360

2,.050 0.7762 0.,9255 1.2130 0.2148 0.2445 0.7380

2..075 0.7770 0. 9432 1.2149 0.2143 0.2464 0.7401

2,.100 0.7785 0. 9668 1.2079 0.2139 0.2484 0.7421

2..125 0.7817 0. 9848 1.1955 0.2138 0.2504 0.7441

2,.150 0.7923 1. 0047 1.1744 0.2140 0.2524 0.7459

2..175 0.7920 1. 0241 1.1490 0.2143 0.2544 0.7475

2..200 0.7969 1. 0438 1.1191 0.2148 0.2563 0.7489

2,.225 0.8049 1. 0626 1.0887 0.2154 0.2583 0.7501

2..250 0.8126 1. 0811 1.0567 0.2161 0.2601 0.7510

2.,275 0.8241 1. 1028 1.0273 0.2169 0.2619 0.7517

2..300 0.8348 1. 1184 1.0006 0.2179 0.2636 0.7522

2.,325 0.8419 1. 1351 0.9757 0.2190 0.2652 0.7524

2.,350 0.8451 1. 1487 0.9529 0.2201 0.2666 0.7525

2.,375 0.8564 1. 1569 0.9356 0.2213 0.2679 0.7525

2.,400 0.8689 1. 1664 0.9194 0.2225 0.2689 0.7523

2. 425 0.8760 1. 1653 0.9072 0.2238 0.2698 0.7519

2. 450 0.8807 1. 1626 0.8986 0.2251 0.2704 0.7515

2. 475 0.8949 1. 1554 0.8950 0.2265 0.2707 0.7510

2.,500 0.8967 1. 1459 0.8927 0.2278 0.2709 0.7505

2. 525 0.9080 1. 1343 0.8962 0.2292 0.2707 0.7499

160
2 .550 .9252 1 .1199 .9000 2306 2704 7493 2 .575 .9304 1 .1034 .9065 2321 2698 7487 2 .600 .9382 1 .0862 .9148 2335 2689 7482 2 .625 .9441 1 .0671 .9253 2349 2679 7476 2 .650 .9615 1 .0502 .9350 2363 2668 7472 2 .675 .9752 1 .0312 .9476 2377 2655 7467 2 .700 .9916 1 .0152 .9602 2392 2640 7464 2 .725 .9973 .9983 .9747 2406 2625 7461 2 .750 1 .0048 .9846 .9878 2420 2610 7459 2 .775 1 .0159 .9714 1 0007 2433 2594 7457 2 .800 1 .0291 9608 1 0134 2446 2579 7457 2 .825 1 0335 .9507 1 0237 2459 2564 7457 2 850 1 0487 9421 1 0331 2472 2550 7458 2 875 1 0667 9347 1 0430 2485 2537 7460 2 900 1 0653 9294 1 0502 2497 2525 7462 2 925 1 0812 9256 1 0547 2508 2514 7464 2 950 1 0892 9247 1 0580 2520 2505 7467 2 975 1 1035 9222 1 0598 2531 2497 7471 3 000 1 1181 9216 1 0599 2541 2490 7474 3 025 1 1198 9231 1 0588 2551 2485 7477 3 050 1 1228 9253 1 0562 2560 2481 7481 3 075 1 1321 9296 1 0519 2569 2478 7484 3 100 1 1310 9328 1 0463 2577 2476 7486 3 125 1 1318 9370 1 0394 2584 2475 7489 3 150 1 1287 9415 1 0323 2590 2475 7490 3 175 1 1270 9481 1 0256 2594 2476 7492 3 200 1 1263 9536 1 0174 2599 2477 7493 3 225 1 1201 9611 1 0095 2602 2480 7494 3 250 1 1132 9688 1 0016 2604 2483 7494 3 275 1 1093 9751 9946 2605 2486 7494 3 300 1 0993 9815 9879 2606 2490 7494 3 325 1 0959 9890 9818 2605 2494 7493 3 350 1 0758 9960 9759 2604 2498 7493 3 375 1 0730 0022 9726 2601 2503 7492 3 400 1 0535 0083 9702 2597 2507 7491 3 425 1 0527 0132 9677 2593 2511 7490 3 450 1 0357 0185 9670 2588 2516 7489 3 475 1 0278 0239 9676 2582 2520 7488 3 500 1 0195 0302 9683 2575 2524 7487 3 525 1 0120 0328 9698 2568 2527 7486 3 550 1 0004 0362 9726 2561 2531 7485 3 575 9981 0385 9756 2553 2534 7484 3 600 9905 0405 9796 2545 2536 7483 3 625 9784 0429 9838 2537 2539 7483 3 650 9748 0412 9886 2529 2540 7483 3 675 9657 0409 9928 2521 2542 7483 3 700 9617 0416 9987 2513 2543 7483 3 725 9611 0404 1 0027 2506 2543 7483 3 750 9601 0372 1 0076 2499 2543 7484 3 775 9489 0356 1 0109 2492 2543 7485 3 800 9472 0314 1 0139 2485 2542 7485 3 825 9441 0289 1 0170 2479 2541 7486 3 850 9376 0246 1 0188 2473 2539 7487 3 875 9385 0215 1 0202 2468 2538 7488 3 900 9394 0176 1 0216 2463 2536 7489 3 925 9425 0122 1 0219 2459 2533 7490 3 950 9392 0093 1 0215 2455 2531 7491 3 975 9423 0042 1 0199 2452 2529 7492 4 000 1 0000 0000 1 0000 2450 2526 7492

161
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.134 x^= 0.2500 e22/€ll= 2.00

R* Sll ^12 §22 ^11 ^12 ^22

.850 .0009 .0000 .0000 1 .0000 .0000 .0000

.875 .0131 .0020 .0001 1 .0000 .0000 .0000

.900 .0978 .0277 .0056 1 .0000 .0000 .0004

.925 .3401 .1635 .0643 1 .0000 .0000 .0061

.950 .8097 .5367 .3185 1 .0000 .0000 .0383

.975 1 .3597 1 .1243 .8711 1 .0000 .0000 .1269

1 .000 1 .8821 1 .7591 1 .5965 1 .0000 .0000 .2645

1 .025 2 .3025 2 .2715 2 .2343 1 .0000 .0000 .4051

1 .050 2 .4905 2 .5677 2 .6083 1 .0000 .0000 .5170

I .075 2 .5527 2 .6593 2 .7039 1 .0000 .0000 .5964

1 .100 2 .5200 2 .6055 2 .5973 1 .0000 .0000 .6507

1 .125 2 .4149 2,.4647 2 .3862 1 .0000 .0000 .6878

1,.150 2 .2870 2 .2813 2 .1289 1 .0000 .0000 .7134

1 .175 2,.1639 2,.0884 .8749 1 .0000 .0000 .7313

1,.200 2,.0169 .8985 .6437 1 .0000 .9996 .7438

1,.225 .8920 .7190 .4445 1 .0000 .9966 .7526

1 .250 ,7905 .5685 .2762 1 .0000 .9832 .7587

1,.275 ,6554 .4335 .1356 1 .0000 .9455 .7628

I..300 .5469 .3102 .0242 1 .0000 .8731 .7653

1..325 .4455 .2146 o'.9324 .9996 .7721 .7667

I..350 .3580 .1236 .8589 .9975 .6628 .7672

1,.375 .2869 .0590 .8030 0,.9899 .5637 .7669

1,,400 ,2221 o!.9898 0,.7592 .9692 .4830 0,.7661

1,,425 ,1576 0,.9403 0,.7255 0,,9270 .4208 0,.7648

1,,450 ,1125 0..8923 0,.7029 0,.8602 .3739 0,.7632

1,,475 ,0714 0,.8582 0,.6867 0,.7754 .3387 0,.7612

1,,500 ,0408 0,.8273 0,.6834 0,.6847 .3122 0,.7589

1,,525 ,0186 0,.8024 0,.6810 0,.5991 0,.2922 0,.7565

1,,550 o'.,9682 0.,7805 0,.6860 0,.5247 .2769 0,.7540

1,,575 0.,9455 0,,7662 0..6940 0,.4632 0,.2652 0,.7514

1.,600 0,,9207 0,,7574 0,.7040 0,,4137 0,.2562 0,.7488

1,,625 0,,8987 0,,7513 0,.7180 0,.3743 0,,2493 0..7461

1,,650 0.,8705 0,,7479 0,.7349 0,.3430 0,.2440 0..7435

1,,675 0,,8467 0,,7496 0..7572 0,.3180 0,.2401 0,.7410

1,,700 0,.8430 0,,7510 0..7814 0,.2980 0,.2372 0,.7386

1.,725 0,,8294 0,,7549 0.,8097 0,.2820 0,.2352 0,,7363

1,,750 0..8098 0,,7613 0,,8421 0,.2690 0,.2339 0,,7343

1,,775 0,,8093 0,,7677 0.,8775 0,.2584 0,.2331 0,,7325

1,,800 0,,8007 0,,7743 0,,9153 0,,2497 0..2328 0,,7310

1,,825 0.,7853 0.,7839 0,,9543 0.,2427 0..2330 0,,7299

1.,850 0,,7789 0,,7929 0,,9911 0,,2368 0,.2334 0,,7293

1.,875 0,,7736 0.,8044 1,,0307 0.,2320 0,.2342 0,,7291

1,,900 0,,7726 0,,8189 1,,0671 0.,2281 0..2352 0,,7293

1,,925 0.,7774 0.,8348 1,,1001 0,,2249 0,,2364 0,,7300

1,,950 0,,7770 0.,8525 1,,1329 0.,2224 0,,2378 0,,7310

1,,975 0.,7737 0.,8694 1,,1603 0.,2204 0,,2394 0,,7324

2.,000 0..7712 0,,8859 1,,1842 0.,2188 0,,2411 0.,7341

2.,025 0.,7807 0..9061 1.,2014 0.,2176 0,,2428 0,,7360

2.,050 0,.7770 0.,9253 1,,2129 0.,2167 0.,2447 0.,7380

2,,075 0,,7857 0.,9429 1.,2145 0,,2161 0.,2466 0. 7401

2,,100 0,,7837 0,,9630 1.,2077 0,,2158 0,,2486 0. 7422

2.,125 0.,7912 0,,9839 1.,1935 0,,2157 0.,2505 0. 7441

2,,150 0,,8015 ,0051 1.,1736 0.,2158 0.,2525 0. 7459

2,,175 0,,8003 ,0239 1,,1471 0.,2161 0,,2545 0. 7475

2..200 0,,8171 ,0416 1.,1178 0.,2166 0.,2565 0. 7489

2,.225 0.,8105 ,0624 1.,0873 0. 2172 0.,2584 0. 7500

2..250 0,,8203 ,0820 1,,0562- 0.,2179 0.,2602 0. 7510

2,.275 0,,8321 ,0991 1.,0265 0. 2188 0.,2620 0. 7517

2.,300 0,,8405 ,1154 0.,9988 0.,2197 0. 2637 0. 7521

2.,325 0,,8351 ,1331 0. 9736 0. 2207 0. 2653 0. 7524

2,.350 0.,8548 ,1484 0. 9520 0. 2218 0. 2667 0. 7525

2,.375 0.,8533 ,1574 0. 9333 0. 2230 0. 2679 0. 7524

2,.400 0.,8592 ,1623 0.,9181 0. 2242 0. 2690 0. 7522

2..425 0,,8723 ,1642 0. 9070 0. 2254 0. 2698 0. 7518

2,.450 0,,8810 ,1631 0. 8999 0. 2266 0. 2704 0. 7514

2,.475 0,,8864 ,1563 0. 8947 0. 2279 0. 2708 0. 7509

2,.500 0,,9038 ,1468 0. 8938 0. 2293 0. 2709 0. 7504

2,.525 0.,9113 ,1329 0. 8954 0. 2306 0. 2708 0. 7498

-162
2.550

2.575

2.600

2.625

2.650

2.675

2.700

1.115

2.750

2.775

2.800

2.825

.850

.875

.900

.925

,950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

150

175

200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

.550

.575

.600

.625

.650

.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9172

0.9294

0.9325

0.9448

0.9605

0.9715

0.9761

0.9860

1.0002

1.0113

0262

0357

0444

0604

0715

0820

1.1005

1.1008

1.1155

1.1255

1.1245

,1327

,1349

,1398

,1375

,1359

1287

1291

1225

1097

0997

0948

1.0847

1.0784

1.0709

1.0587

1.0475

1.0438

1.0320

1.0158

1.0103

1.0061

0.9934

0.9899

0.9883

0.9725

0.9676

0.9607

0.9659

0.9560

0.9568

0.9485

0.9488

0.9511

0.9459

0.9469

0.9457

0.9450

1.0000

1.1183

1.1024

1.0840

1.0662

1.0464

1.0304

1.0132

0.9974

0.9853

0.9718

0.9608

0.9507

0.9425

0.9350

0.9289

0.9264

0.9235

0.9226

0.9211

0.9236

0.9264

0.9300

0.9329

0.9387

0.9430

0.9493

0.9563

0.9628

0.9693

0.9748

0.9824

0.9901

0.9959

1.0033

1.0098

1.0154

1.0199

1.0241

1.0282

1.0319

1.0357

1.0367

1.0402

1.0413

,0418

0409

,0407

,0400

0368

1.0348

1.0323

1.0302

1.0253

,0208

,0169

0125

,0078

0036

,0000

0.9000

0.9060

0.9136

0.9246

0.9352

0.9473

0.9609

0.9738

0.9875

0.9987

0119

0233

0339

0412

0492

0537

1.0576

0594

0601

0587

0554

0521

.0457

,0396

,0330

,0243

,0169

,0091

,0014

0.9934

0.9880

0.9808

0.9761

0.9719

0.9689

0.9674

0.9658

0.9662

0.9669

0.9692

0.9721

0.9758

0.9791

0.9833

0.9877

0.9929

0.9981

0015

0057

0099

0133

0158

0181

0200

1.0203

1.0208

1.0210

1.0206

1.0000

0.2320

0.2333

0.2347

0.2360

0.2373

0.2387

0.2401

0.2414

0.2427

0.2440

0.2453

0.2466

0.2478

0.2491

0.2503

0.2514

0.2525

0.2536

0.2547

0.2557

0.2566

0.2574

0.2582

0.2589

0.2596

0.2601

0.2605

0.2608

0.2611

0.2612

0.2613

0.2612

0.2610

0.2608

0.2605

0.2601

0.2596

0.2590

0.2584

0.2577

0.2570

0.2563

0.2555

0.2547

0.2539

0.2531

0.2523

0.2516

0.2508

0.2501

0.2495

0.2489

0.2483

0.2478

0.2474

0.2469

0.2466

0.2463

0.2461

0.2704

0.2698

0.2690

0.2679

0.2668

0.2654

0.2640

0.2625

0.2609

0.2594

0.2578

0.2564

0.2550

0.2537

0.2525

0.2514

0.2505

0.2497

0.2490

0.2485

0.2481

0.2478

0.2476

0.2475

0.2476

0.2477

0.2478

0.2481

0.2484

0.2487

0.2491

0.2495

0.2499

0.2504

0.2508

0.2513

0.2517

0.2521

0.2525

0.2528

0.2532

0.2535

0.2537

0.2539

0.2541

0.2543

0.2543

0.2544

0.2544

0.2544

0.2543

0.2542

0.2540

0.2539

0.2537

0.2534

0.2532

0.2530

0.2527

0.7492

0.7486

0.7480

0.7475

0.7470

0.7466

0.7463

0.7460

0.7458

0.7457

0.7456

0.7456

0.7457

0.7459

0.7461

0.7463

0.7466

0.7470

0.7473

0.7477

0.7480

0.7483

0.7485

0.7488

0.7490

0.7491

0.7492

0.7493

0.7493

0.7493

0.7493

0.7493

0.7492

0.7491

0.7490

0.7489

0.7488

0.7487

0.7486

0.7485

0.7484

0.7483

0.7482

0.7482

0.7482

0.7482

0.7482

0.7482

0.7483

0.7484

0.7484

0.7485

0.7486

0.7487

0.7488

0.7489

0.7490

0.7491

0.7491

163
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.177 x = 0.5000 e22/€ll= 2.00

R* Sll ^12 §22 ^11 ^12 ^22

.850 0005 .0001 0000 1.0000 1 .0000 0.0000

.875 0119 .0020 0001 1.0000 1 .0000 0.0000

900 0893 0259 .0049 1.0000 1 .0000 0.0001

.925 3202 1564 0558 1.0000 1 .0000 0.0019

950 7426 5044 2808 1.0000 1 .0000 0.0119

975 1 2858 1 0574 .7746 1.0000 1 .0000 0.0425

1 000 1 7974 1 6706 1 .4323 1.0000 1 .0000 0.0993

1 025 2 1390 2 1510 2 0197 1.0000 1 .0000 0.1731

1 050 2 3536 2 4481 2 3851 1.0000 1 .0000 0.2483

1 075 2 4336 2 5451 2 .4974 1.0000 1 .0000 0.3140

1 100 2 4011 2 5094 2 4239 1.0000 1 0000 0.3665

1 125 2 3248 2 3733 2 2475 1.0000 1 .0000 0.4069

1 150 2 2022 2 2082 2 0286 1.0000 1 .0000 0.4371

1 175 2 0675 2 0185 8046 1.0000 1 .0000 0.4595

1 200 1 9366 1 8486 5998 1.0000 .9999 0.4759

1 225 1 8088 1 6850 4257 1.0000 .9990 0.4877

1 250 1 6977 1 5419 2745 1.0000 .9949 0.4961

1 275 1 5852 1 4164 1478 1.0000 9828 0.5018

1 300 1 4966 1 3053 0474 1.0000 9575 0.5054

1 325 1 4124 1 2139 9667 0.9999 9171 0.5074

1 350 1 3280 1 1359 9016 0.9992 8649 0.5083

1 375 1 2706 1 0658 8557 0.9966 8077 0.5084

1 400 1 2035 1 0061 8202 0.9896 7517 0.5078

1 425 1 1527 9591 7961 0.9748 7013 0.5068

1 450 1 0984 9218 7826 0.9496 6581 0.5055

1 475 1 0638 8885 7800 0.9137 6223 0.5040

1 500 1 0213 8630 7857 0.8693 5931 0.5025

1 525 9845 8429 7891 0.8205 5696 0.5009

1 550 9608 8292 7978 0.7715 5508 0.4993

1 575 9368 8187 8065 0.7251 5359 0.4977

1 600 9117 8155 8132 0.6831 5241 0.4961

1 625 8869 8151 8180 0.6462 5148 0.4944

1 650 8720 8189 8266 0.6143 5077 0.4926

1 675 8569 8189 8332 0.5871 5023 0.4908

1 700 8457 8263 8411 0.5642 4982 0.4889

1 725 8449 8288 8550 0.5450 4954 0.4870

1 750 8266 8352 8676 0.5289 4934 0.4852

1 775 8225 8408 8881 0.5154 4922 0.4834

1 800 8173 8423 9049 0.5041 4917 0.4819

1 825 8104 8472 9276 0.4947 4916 0.4806

1 850 8140 8508 9516 0.4868 4919 0.4795

1 875 8121 8568 9778 0.4803 4924 0.4789

1 900 8109 8609 0019 0.4750 4932 0.4787

1 925 8174 8683 0288 0.4707 4942 0.4788

1 950 8186 8756 0549 0.4672 4952 0.4794

1 975 8180 8860 0785 0.4645 4963 0.4803

2 000 8260 8970 1013 0.4623 4975 0.4815

2 025 8321 9060 1213 0.4608 4987 0.4830

2 050 8337 9170 1344 0.4597 4999 0.4847

2 075 8316 9291 1417 0.4591 5011 0.4866

2 100 8390 9433 1433 0.4588 5023 0.4885

2 125 8390 9568 1381 0.4588 5035 0.4903

2 150 8426 9702 1257 0.4590 5047 0.4920

2 175 8461 9872 1117 0.4595 5060 0.4936

2 200 8498 0012 0940 0.4601 5074 0.4951

2 225 8535 0173 0739 0.4609 5087 0.4963

2 250 8575 0350 0544 0.4619 5101 0.4973

2 275 8619 0506 0359 0.4629 5116 0.4981

2 300 8648 0668 0182 0.4641 5130 0.4987

2 325 8699 0830 0007 0.4653 5144 0.4991

2 350 8725 0937 9886 0.4666 0. 5157 0.4993

2 375 8792 1038 9755 0.4679 0. 5170 0.4995

2 400 8822 1101 9641 0.4693 0. 5181 0.4995

2 425 8898 1147 9556 0.4706 0. 5191 0.4994

2 450 8947 1170 9526 0.4720 0. 5200 0.4992

2 475 8982 1133 9491 0.4733 0. 5207 0.4990

2 500 9037 1077 9478 0.4746 0. 5211 0.4987

2 525 9134 0987 0. 9492 0.4759 0. 5213 0.4985

164
2.550

2.575

2.600

2.625

,650

,675

,700

,725

,750

,775

800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

050

075

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

700

725

750

775

800

825

850

3.875

3.900

3.925

3.950

3.975

4.000

0.9167

0.9271

0.9331

0.9424

0.9506

0.9587

0.9635

0.9763

0.9823

0.9935

1.0017

1.0101

1.0214

1.0333

1 . 0444

1.0501

1.0596

1.0710

1.0749

1.0837

0906

0956

0946

0977

1006

1006

1.0974

1.0950

1.0945

1.0885

1.0814

1.0748

1.0693

1.0602

1.0552

1.0465

1.0401

1.0319

1.0274

1.0205

1.0127

1.0067

1.0027

0.9954

0.9934

0.9873

0.9859

0.9840

0.9799

0.9768

0.9721

0.9735

0.9711

0.9669

0.9705

0.9684

0.9694

0.9671

1.0000

1.0907

1.0791

1.0686

1.0579

1.0436

1.0318

1.0217

1.0098

1.0023

0.9935

0.9845

0.9783

0.9724

0.9677

0.9634

0.9619

0.9593

0.9600

0.9587

0.9586

0.9609

0.9619

0.9629

0.9666

0.9670

0.9698

0.9722

0.9755

0.9772

0.9808

0.9845

0.9877

0.9903

0.9938

0.9962

0.9986

1.0008

1.0039

1.0069

1.0113

1.0122

1.0143

1.0153

1.0167

1.0191

1.0197

1.0204

1.0210

1.0205

1.0196

1.0201

1.0169

1.0166

1.0155

1.0139

1.0096

1.0092

1.0070

1.0000

0.9494

0.9531

0.9553

0.9611

0.9645

0.9680

0.9738

0.9814

0.9852

0.9899

0.9956

1.0018

1.0060

1.0112

1.0147

1.0187

1.0223

1.0245

1.0266

1.0280

1.0292

1.0277

,0267

,0240

,0215

,0192

,0166

0124

,0101

0058

1.0017

0.9996

0.9960

0.9942

0.9918

0.9909

0.9891

0.9898

0.9896

0.9895

0.9894

0.9904

0.9921

0.9934

0.9946

0.9959

0.9985

0.9982

1.0002

1.0020

1.0030

1.0041

1.0055

1.0066

1.0082

1.0082

1.0085

1.0083

1.0000

0.4772

0.4785

0.4798

0.4811

0.4824

0.4837

0.4849

0.4862

0.4875

0.4888

0.4901

0.4914

0.4926

0.4939

0.4952

0.4965

0.4978

0.4990

0.5002

0.5013

0.5024

0.5035

0.5045

0.5054

0.5063

0.5070

0.5077

0.5083

0.5088

0.5092

0.5095

0.5097

0.5098

0.5097

0.5096

0.5094

0.5091

0.5087

0.5082

0.5076

0.5070

0.5064

0.5057

0.5050

0.5043

0.5035

0.5028

0.5021

0.5014

0.5008

0.5001

0.4996

0.4990

0.4985

0.4980

0.4976

0.4973

0.4969

0.4967

0.5213

0.5211

0.5206

0.5200

0.5192

0.5181

0.5170

0.5157

0.5143

0.5130

0.5115

0.5101

0.5088

0.5075

0.5064

0.5053

0.5043

0.5035

0.5027

0.5021

0.5016

0.5012

0.5009

0.5007

0.5006

0.5005

0.5005

0.5006

0.5007

0.5008

0.5010

0.5012

0.5014

0.5016

0.5018

0.5020

0.5022

0.5025

0.5027

0.5028

0.5030

0.5032

0.5034

0.5035

0.5036

0.5037

0.5038

0.5039

0.5039

0.5039

0.5039

0.5039

0.5039

0.5038

0.5037

0.5036

0.5035

0.5033

0.5032

0.4982

0.4979

0.4976

0.4973

0.4971

0.4968

0.4966

0.4965

0.4963

0.4962

0.4961

0.4961

0.4961

0.4961

0.4962

0.4963

0.4965

0.4966

0.4968

0.4971

0.4973

0.4976

0.4978

0.4980

0.4982

0.4984

0.4985

0.4986

0.4987

0.4988

0.4988

0.4989

0.4989

0.4989

0.4989

0.4988

0.4988

0.4988

0.4988

0.4987

0.4987

0.4987

0.4986

0.4986

0.4986

0.4986

0.4987

0.4987

0.4987

0.4987

0.4988

0.4988

0.4989

0.4989

0.4990

0.4990

0.4991

0.4991

0.4992

165-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.177 x^= 0.5000 €22/ell= 2.00

R* Hi ^12 §22 ^11 ^2 ^22

850 .0005 .0000 0000 1.0000 1.0000 0.0000

875 0121 .0017 0001 1.0000 1.0000 0.0000

900 0905 .0259 0048 1.0000 1.0000 0.0001

925 3263 .1551 0560 1.0000 1.0000 0.0019

950 7612 5009 2811 1.0000 1.0000 0.0120

975 1 .2962 1 .0563 7743 1.0000 1.0000 0.0425

1 000 1 8026 1 6600 1 4344 1.0000 1.0000 0.0995

1 025 2 1580 2 1487 2 0216 1.0000 1.0000 0.1736

1 050 2 3730 2 4410 2 3842 1.0000 1.0000 0.2488

1 075 2 4505 2 5393 2 4983 1.0000 1.0000 0.3145

1 100 2 4250 2 4948 2 4218 1.0000 1.0000 0.3670

1 125 2 3332 2 3679 2 2479 1.0000 1.0000 0.4073

1 150 2 2120 2 2035 2 0264 1.0000 1.0000 0.4376

1 175 2 0826 2 0205 1 8059 1.0000 1.0000 0.4599

1 200 1 9556 1 8514 1 6033 1.0000 0.9999 0.4763

1 225 1 8223 1 6861 1 4225 1.0000 0.9990 0.4881

1 250 1 7069 1 5417 1 2708 1.0000 0.9948 0.4964

1 275 1 5985 1 4139 1 1483 1.0000 0.9828 0.5020

1 300 1 4992 1 3031 1 0465 1.0000 0.9575 0.5056

1 325 1 4161 1 2106 9664 0.9999 0.9169 0.5076

1 350 1 3434 1 1299 9016 0.9992 0.8646 0.5085

1 375 1 2745 1 0637 8515 0.9967 0.8072 0.5085

1 400 1 2116 1 0058 8186 0.9898 0.7512 0.5079

1 425 1 1609 9594 7941 0.9751 0.7008 0.5068

1 450 1 1160 9202 7810 0.9502 0.6576 0.5055

1 475 1 0687 8882 7774 0.9146 0.6218 0.5040

1 500 1 0276 8621 7804 0.8706 0.5927 0.5024

1 525 9925 8442 7874 0.8222 0.5692 0.5008

1 550 9670 8281 7962 0.7734 0.5504 0.4992

1 575 9346 8205 8045 0.7271 0.5355 0.4976

1 600 9174 8179 8122 0.6852 0.5237 0.4960

1 625 8974 8171 8178 0.6484 0.5145 0.4943

1 650 8812 8181 8260 0.6167 0.5074 0.4925

1 675 8628 8214 8339 0.5897 0.5020 0.4907

1 700 8519 8266 8438 0.5668 0.4980 0.4889

1 725 8414 8299 8544 0.5475 0.4952 0.4870

1 750 8324 8357 8678 0.5313 0.4932 0.4852

1 775 8287 8397 8864 0.5178 0.4921 0.4835

1 800 8253 8442 9060 0.5064 0.4915 0.4819

1 825 8180 8474 9271 0.4969 0.4915 0.4806

1 850 8191 8518 9514 0.4890 0.4918 0.4796

1 875 8179 8557 9758 0.4825 0.4924 0.4790

1 900 8181 8626 1 0016 0.4772 0.4932 0.4788

1 925 8243 8687 1 0283 0.4729 0.4941 0.4789

1 950 8217 8758 1 0544 0.4694 0.4952 0.4795

1 975 8264 8855 1 0797 0.4666 0.4964 0.4804

2 000 8298 8937 1 1043 0.4645 0.4976 0.4817

2 025 8330 9051 1 1228 0.4630 0.4988 0.4832

2 050 8360 9163 1 1362 0.4619 0.5000 0.4849

2 075 8417 9287 1 1432 0.4612 0.5012 0.4868

2 100 8423 9420 1 1438 0.4609 0.5024 0.4887

2 125 8450 9549 1 1373 0.4609 0.5036 0.4905

2 150 8504 9699 1 1262 0.4612 0.5048 0.4923

2 175 8495 9862 1 1119 0.4616 0.5061 0.4938

2 200 8536 1 0001 1 0927 0.4622 0.5075 0.4952

2 225 8563 1 0160 1 0733 0.4630 0.5088 0.4964

2 250 8606 1 0324 1 0526 0.4639 0.5102 0.4974

2 275 8650 1 0491 1 0339 0.4650 0.5116 0.4982

2 300 8680 1 0634 1 0151 0.4661 0.5130 0.4988

2 325 8721 1 0793 9989 0.4673 0.5143 0.4991

2 350 8767 1 0921 9847 0.4685 0.5157 0.4994

2 375 8829 1 1021 9728 0.4698 0.5169 0.4995

2 400 8856 1 1098 9634 0.4711 0.5181 0.4995

2 425 8914 1 1120 0. 9560 0.4724 0.5191 0.4994

2 450 8953 1 1131 0. 9516 0.4737 0.5199 0.4992

2 475 9014 1 1103 0. 9469 0.4750 0.5205 0.4990

2 500 9077 1 1056 0. 9458 0.4763 0.5210 0.4987

2 525 9157 1 0991 0. 9464 0.4776 0.5212 0.4984

-166-
2 .550 .9200 1 .0894 .9485 .4789 0,.5212 .4981

2 .575 .9265 1 .0798 .9519 .4801 0,.5210 .4978

2 .600 .9364 1 .0667 .9553 0,.4814 0,.5205 .4975

2 .625 .9449 1 .0540 .9593 .4826 0,.5199 .4973

2 .650 .9490 1 .0426 .9640 0,.4839 0,.5190 .4970

2 .675 .9616 1 .0308 .9685 .4851 0,.5180 .4968

2 .700 .9686 1 .0212 .9735 0,.4864 0..5168 .4966

2 .725 .9790 1 .0105 .9784 .4876 0,.5155 .4964

2 .750 .9868 1 .0006 .9849 0,.4889 0,.5141 .4962

2 .775 .9957 .9924 .9896 0,.4902 0,,5127 .4961

2 .800 1,.0066 .9847 .9954 0,.4915 0,,5113 .4961

2,.825 1 .0171 .9782 1 .0000 0,.4927 0,,5099 0,.4960

2,.850 1,.0240 .9722 1,.0060 0,.4940 0,,5086 0,.4960

2,.875 1,.0378 .9678 1,.0104 0,.4953 0.,5073 0,.4961

2,,900 1,.0465 .9644 1 .0141 0,.4966 0,,5062 0,.4961

2,.925 1,.0550 .9626 1,.0191 0,.4978 0,,5051 0,.4963

2,.950 1,.0629 .9600 1 .0222 0,.4991 0,,5041 0,.4964

2..975 1,.0724 0,.9594 1,.0248 0,,5003 0,,5033 0,.4966

3,.000 1,.0794 .9593 1,.0267 0,,5015 0,,5026 0,.4968

3,,025 1..0876 0,.9588 1,.0288 0.,5026 0,,5020 0,.4971

3,,050 1,.0928 0,.9604 1..0288 0,,5037 0,,5015 0,.4973

3.,075 1,.0996 0,.9625 1,.0281 0.,5048 0.,5011 0,.4976

3,,100 1,.1020 0..9647 1,.0274 0.,5058 0,,5009 0..4978

3,,125 1..1030 0..9663 1,.0249 0.,5067 0.,5007 0..4980

3,,150 1,,1064 0,.9681 1,.0222 0,,5076 0.,5006 0..4982

3,,175 1,,1031 0,,9700 1,,0196 0.,5083 0.,5005 0,.4984

3,,200 1,,0998 0.,9723 1,,0149 0.,5090 0.,5005 0,.4985

3,,225 1,,0970 0,,9758 1.,0121 0.,5096 0.,5006 0.,4986

3.,250 1,,0922 0,,9779 1,,0080 0,,5101 0,,5007 0,,4987

3,,275 1,,0894 0.,9812 1,,0045 0.,5104 0.,5008 0,,4988

3.,300 1,,0818 0,,9842 1,,0012 0,,5107 0.,5010 0.,4988

3,,325 1,,0752 0,,9869 0,,9968 0.,5109 0,,5012 0.,4988

3,,350 1,,0717 0,,9898 0,,9940 0,,5109 0.,5014 0..4988

3.,375 1,,0639 0.,9928 0,,9916 0.,5109 0.,5017 0,.4988

3,,400 1.,0565 0,,9952 0,,9906 0.,5108 0.,5019 0,.4988

3.,425 1.,0486 0,,9989 0.,9886 0,,5105 0,,5021 0..4988

3.,450 1.,0419 1.,0009 0,,9881 0.,5102 0.,5023 0..4987

3.,475 1.,0351 1,,0039 0,,9877 0.,5098 0.,5025 0,.4987

3.,500 1.,0287 1,,0066 0,,9881 0,,5093 0.,5027 0,.4987

3.,525 1.,0214 1.,0089 0.,9881 0.,5088 0.,5029 0,.4986

3.,550 1.,0161 1.,0115 0.,9891 0,,5082 0.,5031 0,,4986

3.,575 1,,0122 1.,0137 0.,9899 0,,5075 0.,5033 0,,4986

3.,600 1.,0062 1.,0148 0,,9912 0.,5069 0.,5034 0,,4985

3.,625 0.,9999 1,,0172 0,,9928 0.,5062 0.,5036 0.,4985

3.,650 0.,9957 1.,0180 0.,9938 0.,5054 0. 5037 0,,4985

3,,675 0.,9920 1.,0185 0,,9952 0,,5047 0.,5038 0,,4985

3,.700 0.,9900 1,,0191 0,,9974 0,,5040 0. 5039 0,,4985

3,,725 0.,9840 1.,0199 0,,9987 0,,5033 0. 5039 0,,4986

3.,750 0,,9810 1.,0196 0,,9994 0.,5026 0.,5040 0,,4986

3,,775 0.,9816 1.,0188 1.,0011 0.,5020 0.,5040 0.,4986

3,,800 0.,9765 1.,0179 1.,0028 0.,5013 0. 5040 0,,4987

3.,825 0.,9755 1.,0168 1.,0039 0.,5007 0. 5039 0,,4987

3.,850 0.,9740 1,,0158 1,,0052 0.,5002 0. 5039 0,,4987

3.,875 0.,9732 1,,0139 1,,0054 0.,4997 0. 5038 0.,4988

3.,900 0,,9718 1,,0123 1,,0066 0.,4992 0. 5037 0,,4988

3.,925 0.,9726 1.,0103 1,,0073 0.,4988 0. 5036 0,,4989

3,,950 0.,9713 1.,0086. 1,,0077 0.,4984 0. 5035 0,,4990

3.,975 0.,9734 1,,0066 1.,0076 0.,4981 0. 5033 0,,4990

4,,000 1.,0000 1,,0000 1,,0000 0.,4979 0. 5032 0.,4990

-167
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*- 0.257 x^- 0.7500 622/ell- 2.00

R* Hi §12 §22 ^11 =^12 ^22

.850 .0005 .0000 .0000 .0000 1.0000 0.0000

.875 .0106 .0016 .0000 .0000 1.0000 0.0000

.900 .0760 .0213 .0033 .0000 1.0000 0.0000

.925 .2880 .1334 .0401 .0000 1.0000 0.0005

.950 .6727 .4315 .2069 .0000 1.0000 0.0032

.975 1 .1485 .9159 .5815 .0000 1 . 0000 0.0118

1 .000 1 .5972 1 .4576 1 .0984 .0000 1.0000 0.0290

1 .025 1 .9366 1 .8986 1 .5868 .0000 1.0000 0.0543

1 050 2 .1366 2 .1763 1 .9225 .0000 1.0000 0.0838

1 075 2 .2090 2 .2798 2 .0539 .0000 1.0000 0.1134

1 .100 2 .2016 2 .2640 2 .0443 .0000 1.0000 0.1401

1 125 2 .1318 2 .1701 1 .9392 .0000 1.0000 0.1629

1 150 2 .0349 2 .0344 1 .7883 .0000 1.0000 0.1813

1 175 .9240 .8899 1 .6335 .0000 1.0000 0.1959

1 200 .8175 .7454 1 .4762 .0000 1.0000 0.2071

1 225 .7039 .6058 1 .3412 .0000 0.9997 0.2155

1 250 6081 4866 1 2340 0000 0.9986 0.2216

1 275 5156 3753 1 1358 0000 0.9954 0.2260

1 300 4320 2849 1 0621 0000 0.9882 0.2290

1 325 3588 2026 9971 0000 0.9761 0.2309

1 350 2913 1361 9540 9998 0.9592 0.2321

1 375 2318 0778 9316 9990 0.9386 0.2329

1 400 1805 0317- 9104 .9968 0.9162 0.2335

1 425 1326 9903 9028 9922 0.8938 0.2339

1 450 0913 9628 9092 9841 0.8728 0.2344

1 475 0552 9401 9229 9720 0.8538 0.2350

1 500 0241 9230 9404 9561 0.8371 0.2357

1 525 9960 9105 9535 9372 0.8229 0.2365

1 550 9705 9067 9687 9167 0.8109 0.2374

1 575 9494 9060 9750 8957 0.8010 0.2383

1 600 9311 9113 9860 8751 0.7929 0.2392

1 625 9169 9178 9798 8558 0.7864 0.2400

1 650 9037 9256 9714 8380 0.7812 0.2406

1 675 8949 9334 9692 8220 0.7771 0.2410

1 700 8849 9427 9604 8078 0.7740 0.2413

1 725 8783 9502 9523 7953 0.7717 0.2414

1 750 8751 9546 9443 7845 0.7700 0.2413

1 775 C 8715 9552 9424 7751 0.7687 0.2411

1 800 8723 9552 9380 7670 0.7679 0.2408

1 825 8732 9551 9384 7602 0.7673 . 2404

1 850 8756 9481 9425 7544 0.7668 0.2401

1 875 8805 9452 9502 7495 0.7664 0.2398

1 900 8821 9398 9586 7455 0.7661 0.2396

1 925 8883 9354 9706 7422 0.7657 0.2394

1 950 8961 9367 9791 7396 0.7653 0.2394

1 975 9018 9334 9978 7375 0.7649 0.2396

2 000 9061 9323 1 0107 7359 0.7643 0.2398

2 025 9121 9311 1 0258 7347 0.7637 0.2402

2 050 9201 9311 1 0389 7339 0.7631 0.2407

2 075 9245 9343 1 0478 7334 0.7624 0.2413

2 100 9278 9371 1 0495 0. 7332 0.7617 0.2419

2 125 9303 9425 1 0507 0. 7332 0.7610 0.2426

2 150 9295 9465- 1 0514 0. 7333 0.7604 0.2432

2 175 9311 9549 1 0460 0. 7336 0.7598 0.2438

2 200 9329 9607 1 0378 0. 7340 0.7594 0.2443

2 225 9307 9690 1 0335 0. 7344 0.7590 0.2447

2 250 9292 9777 1 0277 0. 7349 0.7588 0.2451

2 275 9313 9880 1, 0183 0. 7354 0.7586 0.2455

2 300 9297 9957 1. 0133 0. 7360 0.7586 0.2457

2 325 9266 1 0067 1. 0077 0. 7365 0.7586 0.2460

2 350 9273 1. 0157 1. 0045 0. 7371 0.7587 0.2461

2 375 9267 1. 0248 0. 9970 0. 7376 0.7589 0.2463

2 400 9276 1. 0318 0. 9960 0. 7380 0.7592 0.2464

2 425 9282 1. 0359 0. 9950 0. 7384 0.7595 0.2465

2 450 9283 1. 0388 0. 9927 0. 7388 0.7597 0.2466

2 475 9283 1. 0412 0. 9944 0. 7392 0.7600 0.2466

2 500 9277 1. 0392 0. 9949 0. 7395 0.7602 0.2467

2 525 9308 1. 0387 0. 9971 0. 7398 0.7604 0.2468

-168-
2.550

2.575

2.600

2.625

2.650

2.700

2.725

,750

.115

800

825

850

875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

,600

.625

,650

,675

.700

3.725

3.750

,775

,800

,825

,850

,875

,900

,925

,950

,975

,000

0.9332

0.9362

0.9371

0.9394

0.9442

0.9474

0.9524

0.9570

0.9648

0.9687

0.9747

0.9816

0.9853

0.9968

1.0011

1.0079

1.0149

1.0219

1.0276

1.0331

,0369

.0414

.0428

.0471

.0472

,0491

0507

,0498

,0471

0454

0456

1.0420

1.0405

1.0366

1.0342

1.0290

1.0297

1.0235

1.0205

1.0183

1.0157

1.0130

1.0107

1.0078

1.0058

1 . 0044

1.0019

1.0010

0.9993

0.9987

0.9987

0.9983

0.9962

0.9977

0.9962

0.9971

0.9968

0.9960

1.0000

1.0374

1.0353

1.0305

1.0268

1.0240

1.0179

1.0142

1.0116

1.0071

1.0038

1.0003

0.9987

0.9957

0.9964

0.9956

0.9949

0.9955

0.9947

0.9952

0.9950

0.9956

0.9959

0.9970

0.9965

0.9980

0.9981

0.9965

0.9979

0.9980

0.9980

0.9971

0.9967

0.9969

0.9964

0.9963

0.9967

0.9955

0.9963

0.9976

0.9981

0.9984

0.9994

0.9992

0.9999

0011

0016

0015

0016

0027

0038

0025

0033

0029

0.9961

0.9978

0.9995

0.9999

1.0017

1.0008

1.0020

1.0001

1.0003

1.0011

1.0026

0.9993

1.0015

1.0016

1.0032

0032

0056

0036

0050

0063

0047

0061

0082

0047

0064

1.0055

0049

0050

1.0042

1.0038

1.0032

1.0037

0037

0038

0039

0026

0000

,0021

,0017

,0031

0026

,0046

,0036

1.0035

1.0055

1.0031

1.0052

1.0043

1.0034

1.0029

1.0036

1.0033

1.0036

1.0037

0.2863

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

0.0000

1.0000

0.7400

0.7402

0.7404

0.7406

0.7408

0.7410

0.7412

0.7414

0.7417

0.7420

0.7423

0.7427

0.7431

0.7435

0.7440

0.7445

0.7450

0.7456

0.7461

0.7467

0.7473

0.7478

0.7484

0.7489

0.7495

0.7500

0.7504

0.7509

0.7513

0.7517

0.7520

0.7523

0.7526

0.7528

0.7529

0.7530

0.7531

0.7532

0.7532

0.7531

0.7530

0.7529

0.7528

0.7527

0.7525

0.7523

0.7521

0.7519

0.7517

0.7516

0.7514

0.7512

0.7510

0.7509

0.7507

0.7506

0.7505

0.7504

0.7503

0.7605

0.7606

0.7606

0.7605

0.7603

0.7601

0.7598

0.7594

0.7590

0.7585

0.7581

0.7576

0.7571

0.7567

0.7562

0.7558

0.7555

0.7552

0.7549

0.7546

0.7544

0.7542

0.7540

0.7539

0.7538

0.7537

0.7536

0.7535

0.7535

0.7534

0.7534

0.7533

0.7532

0.7531

0.7531

0.7530

0.7529

0.7529

0.7528

0.7527

0.7526

0.7526

0.7525

0.7525

0.7524

0.7524

0.7523

0.7523

0.7522

0.7522

0.7522

0.7521

0.7521

0.7521

0.7520

0.7520

0.7519

0.7519

0.7518

0.2469

0.2470

0.2471

0.2472

0.2473

0.2474

0.2475

0.2476

0.2476

0.2477

0.2477

0.2478

0.2478

0.2479

0.2479

0.2480

0.2480

0.2481

0.2482

0.2482

0.2483

0.2484

0.2484

0.2485

0.2486

0.2486

0.2487

0.2487

0.2488

0.2488

0.2489

0.2489

0.2489

0.2490

0.2490

0.2490

0.2491

0.2491

0.2491

0.2492

0.2492

0.2492

0.2493

0.2493

0.2493

0.2494

0.2494

0.2495

0.2482

0.2449

0.2413

0.2377

0.2342

0.2307

0.2273

0.2240

0.2207

0.2175

0.2162

169
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . CT22/all= 2.00 p*= 0.257 x-= 0.7500 e22/€ll= 2.00

R* 6ll ^12 ^22 ^11 ^12 ^22

850 0005 0000 .0000 1 .0000 1 .0000 .0000

875 Olio .0014 .0000 1 .0000 1 .0000 .0000

900 0781 0216 .0034 1 .0000 1 .0000 .0000

925 2882 1325 .0407 1 .0000 1 .0000 .0005

950 6678 4301 .2055 1 .0000 1 .0000 .0032

975 1 1438 9176 .5788 1 .0000 1 .0000 .0117

1 000 1 5988 1 4580 1 .0925 1 .0000 1 .0000 0289

1 025 1 9393 1 .9068 1 .5821 1 .0000 1 .0000 .0540

1 050 2 1299 2 1766 1 .9090 1 .0000 1 .0000 .0834

1 075 2 2072 2 2859 2 0444 1 .0000 1 .0000 1128

1 100 2 1978 2 2663 2 .0387 1 .0000 1 .0000 1395

1 125 2 1333 2 .1744 1 9288 1 .0000 1 .0000 1621

1 150 2 0416 2 0358 1 .7833 1 .0000 1 .0000 1806

1 175 1 9303 1 8901 1 6281 1 .0000 1 0000 1952

1 200 1 8172 1 7428 1 4772 1 .0000 1 .0000 2064

1 225 1 7057 1 6070 1 3423 1 .0000 .9997 .2148

1 250 1 6069 1 4866 1 2330 1 .0000 .9986 2210

1 275 1 5146 1 3799 1 1340 1 0000 9954 2254

1 300 1 4298 1 2843 1 0613 1 0000 9883 2284

1 325 1 3571 1 2049 9992 1 .0000 9763 2304

1 350 1 2878 1 1359 9542 9998 9594 2316

1 375 1 2293 1 0785 9263 9990 9389 2324

1 400 1 1791 1 0329 9077 9968 9166 2329

1 425 1 1291 9926 9029 9922 .8944 2334

1 450 1 0907 9624 9086 9841 8734 2338

1 475 1 0541 9388 9231 9720 8544 2344

1 500 1 0221 9221 9401 9560 8379 2352

1 525 9943 9081 9586 9371 8237 2360

1 550 9698 9045 9697 9165 8117 2370

1 575 9479 9047 9758 8955 8017 2379

1 600 9300 9101 9822 8749 7936 2388

1 625 9175 9171 9823 8555 7870 2397

1 650 9033 9257 9743 8377 7818 2403

1 675 8959 9347 9675 8217 7777 2408

1 700 8844 9439 9571 8074 7746 2411

1 725 8788 9513 9501 7950 7723 2411

1 750 8725 9547 9430 7841 7705 2411

1 775 8720 9555 9387 7747 7693 2408

1 800 8683 9566 9357 7667 7684 2405

1 825 8706 9548 9376 7598 7678 2401

1 850 8728 9505 9400 7540 7673 2398

1 875 8783 9487 9479 7492 7669 2395

1 900 8824 9429 9568 7452 7666 2392

1 925 8885 9384 9674 7419 7663 2391

1 950 8940 9356 9808 7392 7659 2391

1 975 9009 9325 9939 7371 7654 2392

2 000 9085 9301 1 0061 7355 7648 2395

2 025 9144 9305 1 0214 7344 7642 2399

2 050 9203 9308 1 0328 7336 7635 2404

2 075 9233 9326 1 0412 7331 7628 2409

2 100 9269 9370 1 0462 7329 7621 2415

2 125 9293 9406 1 0469 7329 7614 2421

2 150 9307 9467 1 0478 7330 7607 2427

2 175 9327 9528 1 0448 7333 7602 2433

2 200 9325 9605 1 0406 7337 7597 2439

2 225 9323 9680 1 0331 7342 7593 0. 2443

2 250 9323 9784 1 0272 7347 7590 0. 2447

2 275 9282 9864 1 0197 7352 7589 0. 2451

2 300 9284 9981 1 0123 7358 0. 7589 0. 2453

2 325 9280 0079 1 0081 7363 0. 7589 0. 2456

2 350 9257 0165 1 0017 7369 0. 7590 0. 2457

2 375 9275 0245 9993 7374 0. 7592 0. 2459

2 400 9251 0316 9969 7379 0. 7595 0. 2460

2 425 9257 0364 9933 0. 7383 0. 7598 0. 2461

2 450 9258 0384 9928 0. 7387 0. 7600 0. 2462

2 475 9271 0398 0. 9926 0. 7390 0. 7603 0. 2463

2 500 9271 0402 0. 9912 0. 7393 0. 7605 0. 2464

2 525 9289 0391 9927 0. 7396 0. 7607 0. 2465

-170-
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.125

2.750

.775

.800

.825

,850

.875

.900

,925

,950

,975

,000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

.500

.525

,550

,575

,600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9322

0.9345

0.9370

0.9411

0.9454

0.9482

0.9538

0.9590

0.9644

0.9695

0.9756

0.9816

0.9875

0.9947

1.0003

1.0072

1.0141

0194

0258

0317

0363

0400

0435

0468

0483

0473

1.0496

0470

0468

0461

0438

0418

0389

1.0355

0325

0294

0269

0221

0187

1.0172

1.0143

1.0116

,0099

,0080

,0052

.0034

0019

0019

0002

0.9992

0.9972

0.9975

0.9958

0.9958

0.9948

0.9958

0.9962

0.9949

1.0000

1.0375

1.0345

1.0317

1.0275

1.0223

1.0180

1.0138

1.0103

1.0058

1.0028

1.0015

0.9994

0.9974

0.9962

0.9958

0.9960

0.9963

0.9962

0.9960

0.9975

0.9972

0.9979

0.9979

0.9979

0.9989

0.9974

0.9984

0.9982

0.9977

0.9981

0.9974

0.9970

0.9970

0.9962

0.9970

0.9963

0.9974

0.9970

0.9972

0.9973

0.9977

0.9985

0.9994

0.9997

1.0002

1.0016

1.0016

1.0018

1.0025

1.0035

1.0035

1.0028

1.0035

1.0034

1.0031

1.0026

1.0026

1.0028

1.0000

0.9948

0.9965

0.9967

0.9984

0.9984

0.9973

1.0009

0.9992

1.0009

0.9982

0.9991

0.9995

0.9986

0.9994

1.0015

1.0005

1.0019

1.0026

1.0033

1.0030

1 . 0042

1.0053

1.0065

1.0057

1.0058

1.0059

1.0055

1.0059

1.0059

1.0034

1.0039

1.0033

1.0022

1.0011

1.0017

1.0011

1.0000

1.0004

1.0010

1.0001

0007

,0009

0019

0006

0022

0024

0021

0024

0026

1.0036

1.0017

1.0021

1.0038

1.0031

1.0029

1.0030

1.0039

1.0036

1.0000

0.7398

0.7400

0.7402

0.7404

0.7406

0.7408

0.7410

0.7413

0.7415

0.7418

0.7422

0.7425

0.7429

0.7434

0.7438

0.7443

0.7448

0.7454

0.7459

0.7465

0.7471

0.7476

0.7482

0.7488

0.7493

0.7498

0.7503

0.7507

0.7512

0.7515

0.7519

0.7522

0.7524

0.7526

0.7528

0.7529

0.7530

0.7530

0.7530

0.7529

0.7529

0.7528

0.7526

0.7525

0.7523

0.7521

0.7520

0.7518

0.7516

0.7514

0.7512

0.7511

0.7509

0.7507

0.7506

0.7505

0.7503

0.7502

0.7501

0.7608

0.7609

0.7609

0.7608

0.7606

0.7604

0.7601

0.7598

0.7594

0.7589

0.7585

0.7580

0.7576

0.7571

0.7567

0.7563

0.7559

0.7556

0.7553

0.7550

0.7548

0.7546

0.7544

0.7543

0.7542

0.7541

0.7540

0.7539

0.7538

0.7538

0.7537

0.7536

0.7536

0.7535

0.7535

0.7534

0.7533

0.7532

0.7532

0.7531

0.7530

0.7530

0.7529

0.7528

0.7528

0.7527

0.7527

0.7526

0.7526

0.7526

0.7525

0.7525

0.7525

0.7524

0.7524

0.7523

0.7523

0.7523

0.7522

0.2465

0.2466

0.2467

0.2468

0.2469

0.2470

0.2471

0.2472

0.2473

0.2473

0.2474

0.2474

0.2475

0.2475

0.2476

0.2476

0.2477

0.2477

0.2478

0.2479

0.2479

0.2480

0.2481

0.2481

0.2482

0.2483

0.2484

0.2484

0.2485

0.2485

0.2486

0.2486

0.2487

0.2487

0.2487

0.2488

0.2488

0.2488

0.2489

0.2489

0.2489

0.2489

0.2490

0.2490

0.2490

0.2490

0.2491

0.2491

0.2491

0.2492

0.2492

0.2492

0.2492

0.2493

0.2493

0.2493

0.2493

0.2494

0.2494

171
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=2 . a22/all= 2.00 p*= 0.332 x^= 0.9001 e22/ell= 2.00

R* Sll ^12 ^22 ^11 ^12 ^22

850 0004 0000 0000 0000 1 .0000 0.0000

875 0088 0012 0001 0000 1 0000 0.0000

900 0642 0166 0021 0000 1 .0000 0.0000

925 2386 1039 0238 0000 1 .0000 0.0001

950 5620 3463 1285 0000 1 .0000 0.0007

975 9718 7465 3762 0000 1 .0000 0.0028

000 1 3633 1 2031 7299 0000 1 0000 0.0071

025 1 6668 1 5923 1 1048 0000 1 0000 0.0139

050 1 8490 1 8430 1 3798 0000 1 .0000 0.0224

075 1 9348 1 9636 1 5162 0000 1 0000 0.0315

100 1 9418 1 9768 1 5531 0000 1 0000 0.0402

125 1 8994 1 9181 1 5200 0000 1 0000 0.0482

150 1 8299 1 8217 1 4377 0000 1 0000 0.0550

175 1 7466 1 7069 1 3466 0000 1 0000 0.0606

200 1 6596 1 5970 1 2650 0000 1 0000 0.0651

225 1 5712 1 4902 1 1773 0000 9999 0.0687

250 1 4904 1 3932 1 1060 0000 9997 0.0715

275 1 4161 1 3065 1 0387 0000 9989 0.0736

300 1 3473 1 2293 9983 0000 9972 0.0751

325 1 2851 1 1665 9644 0000 9942 0.0763

350 1 2310 1 1127 9409 9999 9898 0.0772

375 1 1826 1 0668 9324 9997 9841 0.0780

400 1 1395 1 0302 9313 9991 9776 0.0787

425 1 1001 1 0007 9515 9977 9708 0.0795

450 1 0691 9799 9670 9953 9641 0.0803

475 1 0401 9645 0002 9916 9577 0.0812

500 1 0164 9552 0321 9867 9518 0.0823

525 9926 9498 0570 9806 9466 0.0834

550 9728 9533 0808 9738 9421 0.0846

575 9588 9558 0949 9666 9382 0.0858

600 9441 9691 1052 9593 9349 0.0870

625 9350 9820 1034 9521 9321 0.0882

650 9253 9947 0943 9453 9298 0.0893

675 9188 0092 0811 9391 9279 0.0902

700 9141 0202 0668 9333 9264 0.0910

725 9112 0291 0524 9282 9253 0.0917

750 9116 0358 0427 9236 9243 0.0923

775 9128 0388 0272 9196 9235 0.0928

800 9150 0394 0193 9161 9228 0.0932

825 9199 0366 0118 9131 9222 0.0936

850 9255 0298 0015 9105 9216 0.0939

875 9305 0253 9982 9083 9211 0.0941

900 9385 0174 9929 9064 9205 0.0943

925 9486 0105 9976 9049 9199 0.0945

950 9572 0003 9915 9037 9193 0.0947

975 9651 9928 1 0013 9027 9185 0.0948

2 000 9726 9854 1 0018 9019 9177 0.0950

2 025 9794 9801 1 0016 9014 9169 0.0952

2 050 9861 9751 1 0082 9009 9160 0.0954

2 075 9925 9726 1 0137 9007 9151 0.0956

2 100 9962 9693 1 0118 9005 9142 0.0958

2 125 9993 9674 1 0169 9004 9133 0.0960

2 150 1 0008 9664 1 0165 9004 9124 0.0962

2 175 9996 9671^ 1 0138 9004 9115 0.0964

2 200 9992 9680 1 0179 9005 9107 0.0966

2 225 9979 9711 1 0089 9006 9100 0.0967

2 250 9967 9736 1 0054 9007 9094 0.0969

2 275 9946 9776 1 0033 9008 9088 0.0970

2 300 9917 9806 1 0005 9009 9083 0.0971

2 325 9890 9847 1 0008 9010 9078 0.0972

2 350 9851 9877 9997 9011 9074 0.0972

2 375 9813 9930 9940 9011 9071 0.0973

2 400 9786 9953 9916 9011 9068 0.0973

2 425 9749 9983 9926 9011 9065 0.0974

2 450 9722 9995 9920 9011 9063 0.0974

2 475 9709 1 0012 9971 9010 0. 9061 0.0975

2 500 9692 1 0013 9963 9009 9059 0.0975

2 525 9680 1 0030 9995 9007 9058 0.0976

-172
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

575

600

625

650

675

700

725

3.750

3.775

800

825

850

875

3.900

3.925

3.950

3.975

4.000

0.9672

0.9660

0.9672

0.9663

0.9660

0.9674

0.9694

0.9696

0.9724

0.9734

0.9765

0.9788

0.9811

0.9838

0.9864

0.9902

0.9938

0.9971

0.9997

1.0021

1 . 0040

1.0066

1.0087

1.0097

1.0113

1.0118

1.0115

1.0132

1.0131

1.0128

1.0126

1.0117

0113

,0100

0090

0091

0076

1.0072

1.0065

1.0051

1.0043

1.0031

1.0029

1.0021

1.0016

1.0012

1.0011

1.0005

1.0005

1 . 0004

0000

0004

0004

0004

0008

0015

0013

0018

1.0021

1.0027

1.0010

1.0016

0.9992

0.9983

0.9993

0.9978

0.9974

0.9964

0.9963

0.9968

0.9965

0.9971

0.9967

0.9980

0.9980

0.9989

0.9997

0007

0024

0019

0026

0029

0027

1.0037

1.0036

1.0034

1.0035

1.0032

1.0020

1.0018

1.0024

1.0017

1.0021

1.0012

1.0012

1.0011

1.0018

1.0010

1.0015

1.0014

1.0005

0.9998

0009

0012

1.0010

1.0000

,0007

,0003

,0003

,0008

,0011

1.0003

1 . 0004

1.0012

1.0007

1 . 0004

1.0002

1.0000

1.0028

1.0002

1.0038

1.0046

1.0051

1.0065

1.0066

1.0061

1.0052

1.0011

1.0076

1.0069

1.0042

1.0031

1.0055

1.0046

1.0020

1.0033

1.0034

1.0083

1.0084

1.0062

0066

0052

0062

0054

0069

0080

1.0081

1.0076

1.0064

1.0059

1.0035

0038

0022

0044

0030

0070

1.0053

1.0037

1.0058

1.0055

1.0037

1.0026

1.0025

1.0036

1.0032

1.0030

1.0020

1.0013

1.0036

1 . 0040

1.0030

1.0066

1.0038

1.0050

1 . 0040

1.0012

1.0000

0.9006

0.9004

0.9003

0.9001

0.8999

0.8997

0.8996

0.8994

0.8993

0.8991

0.8990

0.8990

0.8989

0.8988

0.8988

0.8988

0.8988

0.8989

0.8989

0.8990

0.8991

0.8992

0.8993

0.8994

0.8995

0.8996

0.8997

0.8998

0.8999

0.9000

0.9001

0.9002

0.9003

0.9003

0.9004

0.9005

0.9005

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9006

0.9005

0.9005

0.9005

0.9005

0.9005

0.9005

0.9056

0.9055

0.9053

0.9052

0.9051

0.9049

0.9048

0.9046

0.9045

0.9043

0.9042

0.9040

0.9039

0.9037

0.9036

0.9035

0.9033

0.9032

0.9031

0.9031

0.9030

0.9029

0.9028

0.9028

0.9027

0.9027

0.9027

0.9026

0.9026

0.9026

0.9025

0.9025

0.9024

0.9024

0.9023

0.9023

0.9022

0.9022

0.9021

0.9021

0.9020

0.9020

0.9019

0.9019

0.9019

0.9018

0.9018

0.9017

0.9017

0.9016

0.9016

0.9016

0.9015

0.9015

0.9015

0.9014

0.9014

0.9014

0.9014

0.0977

0.0977

0.0978

0.0979

0.0979

0.0980

0.0981

0.0981

0.0982

0.0982

0.0983

0.0983

0.0984

0.0984

0.0985

0.0985

0.0986

0.0986

0.0986

0.0987

0.0987

0.0988

0.0988

0.0989

0.0989

0.0989

0.0990

0.0990

0.0990

0.0991

0.0991

0.0991

0.0992

0.0992

0.0992

0.0992

0.0992

0.0993

0.0993

0.0993

0.0993

0.0993

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0995

0.0995

0.0995

0.0995

0.0995

0.0995

0.0995

0.0995

0.0996

0.0996

0.0996

173-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=^.0

all/aW^ 2.00 p*= 0.339 0.9502 e22/cll- 2.00

R* Sll ^12 ^22 ^11 ^12 ^22

850 0004 0.0000 0.0000 1.0000 1 .0000 0.0000

875 0076 0.0011 0.0001 1.0000 1 0000 0.0000

900 0558 0.0152 0.0012 1.0000 1 0000 0.0000

925 2095 0.0918 0.0209 1.0000 1 0000 0.0000

950 4980 0.3046 0.1074 1.0000 1 0000 0.0003

975 8659 0.6623 0.3094 1.0000 1 0000 0.0012

1 000 1 2293 1.0795 0.6125 1.0000 1 0000 0.0030

1 025 1 5150 1.4432 0.9389 1.0000 1 0000 0.0059

1 050 1 6964 1.6880 1.1688 1.0000 1 0000 0.0095

1 075 1 7873 1.8109 1.3301 1.0000 1 0000 0.0135

1 100 1 8022 1.8294 1.3863 1.0000 1 0000 0.0174

1 125 1 7762 1.7942 1.3704 1.0000 1 0000 0.0211

1 150 1 7196 1.7226 1.3199 1 . 0000 1 0000 0.0243

1 175 1 6519 1.6302 1.2524 1.0000 1 0000 0.0270

1 200 1 5763 1.5322 1.1846 1.0000 1 0000 0.0292

1 225 1 5015 1.4387 1.1238 1.0000 1 0000 0.0311

1 250 1 4329 1.3511 1.0583 1.0000 9999 0.0325

1 275 1 3665 1.2788 1.0070 1.0000 9995 0.0336

1 300 1 3064 1.2116 0.9799 1.0000 9988 0.0345

1 325 1 2521 1.1517 0.9496 1.0000 9976 0.0352

1 350 1 2053 1.1060 0.9359 1.0000 9957 0.0357

1 375 1 1627 1.0635 0.9346 0.9999 9933 0.0362

1 400 1 1250 1.0338 0.9365 0.9996 9905 0.0367

1 425 1 0919 1.0057 0.9470 0.9990 9876 0.0372

1 450 1 0620 0.9882 0.9742 0.9979 9845 0.0377

1 475 1 0359 0.9745 1.0105 0.9963 9816 0.0382

1 500 1 0149 0.9650 1.0457 0.9941 9789 0.0388

1 525 9953 0.9644 1.0798 0.9914 9765 0.0395

1 550 9783 0.9652 1.0991 0.9883 9743 0.0402

1 575 9642 0.9720 1.1124 0.9849 9724 0.0409

1 600 9531 0.9811 1.1322 0.9815 9708 0.0416

1 625 9436 0.9957 1.1298 0.9781 9694 0.0423

1 650 9361 1.0089 1.1327 0.9749 9682 0.0430

1 675 9310 1.0212 1.1231 0.9719 9672 0.0436

1 700 9269 1.0341 1.1134 0.9691 9664 . 0441

1 725 9247 1 . 0445 1.1040 0.9666 9657 , 0446

1 750 9244 1.0518 1.0817 0.9643 9652 0.0450

1 775 9266 1.0548 1.0833 0.9623 9647 0.0454

1 800 9275 1.0563 1.0595 0.9605 9643 0.0458

1 825 9335 1.0553 1.0542 0.9590 9639 0.0460

1 850 9379 1.0513 1 . 0404 0.9577 9635 0.0463

1 875 9454 1.0473 1.0345 0.9565 9632 0.0465

1 900 9525 1.0408 1.0337 0.9556 9628 0.0467

1 925 9607 1.0330 1.0285 0.9547 9625 0.0469

1 950 9693 1.0254 1.0258 0.9541 9621 0.0470

1 975 9775 1.0182 1.0282 0.9535 9616 0.0472

2 000 9852 1.0121 1.0337 0.9531 9612 0.0474

2 025 9940 1.0070 1.0271 0.9527 9607 0.0475

2 050 9996 1.0015 1.0282 0.9525 9601 0.0476

2 075 1 0061 0.9972 1.0291 0.9523 9596 0.0478

2 100 1 0099 0.9929 1.0351 0.9522 9591 0.0479

2 125 1 0131 0.9898 1.0288 0.9521 9586 0.0480

2 150 1 0153 0.9870 1.0291 0.9520 9580 0.0481

2 175 1 0157 0.9869 1.0310 0.9520 9575 0.0482

2 200 1 0163 0.9860 1.0252 0.9520 9570 0.0484

2 225 1 0155 0.9851 1.0297 0.9520 9566 0.0484

2 250 1 0136 0.9867 1.0267 0.9520 9561 0.0485

2 275 1 0114 0.9876 1.0258 0.9520 9558 0.0486

2 300 1 0097 0.9881 1.0208 0.9520 9554 0.0487

2 325 1 0071 0.9922 1.0116 0.9520 9551 0.0488

2 350 1 0038 0.9924 1.0122 0.9520 9548 0.0488

2 375 1 0004 0.9932 1.0084 0.9520 9545 0.0489

2 400 9983 0.9950 1.0052 0.9520 9542 0.0489

2 425 9953 0.9968 1.0029 0.9519 9540 0.0489

2 450 9928 0.9963 0.9982 0.9519 9538 0.0490

2 475 9894 0.9980 0.9973 0.9518 9537 0.0490

2 500 9873 0.9991 1.0047 0.9517 9535 0.0490

2 525 9859 0.9990 1.0034 0.9516 9533 0.0490

174-
2.550

2.515

,600

.625

,650

.675

,700

2.725

2.750

2.775

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

,100

,125

,150

,175

,200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

,750

,775

,800

,825

,850

,875

,900

,925

,950

3.975

4.000

0.9848

0.9831

0.9827

0.9817

0.9814

0.9810

0.9808

0.9816

0.9821

0.9827

0.9838

0.9852

0.9871

0.9881

0.9895

0.9905

0.9927

0.9941

0.9964

0.9974

0.9984

1.0001

1.0017

1.0027

1.0038

1.0043

1.0045

1.0049

1.0044

1.0051

1.0051

1.0047

1.0045

1.0046

1.0037

0028

0022

0023

0020

0019

0009

1.0004

1.0002

0.9998

0.9997

0.9994

0.9992

0.9992

0.9992

0.9989

0.9995

0.9998

0.9994

0.9997

1.0002

1.0006

1.0005

1.0008

1.0000

1.0005

0.9995

0.9988

0.9981

0.9983

0.9990

0.9982

0.9976

0.9968

0.9977

0.9959

0.9960

0.9971

0.9971

0.9973

0.9969

0.9984

0.9977

0.9982

0.9984

0.9980

0.9993

0.9999

0.9997

1.0010

0009

0010

0022

0017.

0017

0008

1.0010

1.0009

1.0005

1.0012

1.0017

1.0013

1.0018

1.0011

1.0019

1.0013

0008

0010

0011

0002

0005

1.0003

1.0005

0.9999

1.0009

1.0010

1.0015

1.0008

1.0008

1.0003

1 . 0006

0.9998

0.9997

1.0000.

1.0006

1.0050

1.0017

1.0017

1.0038

1.0047

1.0053

1.0148

1.0064

1.0014

,0051

,0074

,0063

0078

,0128

0091

0063

1.0058

1.0051

1.0062

0.9999

1.0080

1.0013

0.9997

1.0050

1.0042

1.0021

1.0039

1.0058

0029

0062

0064

0060

0056

0057

1.0075

1 . 0044

1.0072

1.0057

1.0064

1.0056

0058

,0056

,0069

,0025

,0045

1.0024

1.0037

1.0045

1.0000

1.0026

1.0008

1.0009

0.9989

0.9998

0.9984

1.0029

1.0007

1.0000

0.9515

0.9514

0.9513

0.9512

0.9511

0.9509

0.9508

0.9507

0.9506

0.9505

0.9504

0.9503

0.9502

0.9502

0.9501

0.9501

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9501

0.9501

0.9501

0.9501

0.9501

0.9502

0.9502

0.9502

0.9502

0.9502

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9532

0.9531

0.9530

0.9528

0.9527

0.9526

0.9525

0.9524

0.9523

0.9522

0.9521

0.9520

0.9519

0.9518

0.9518

0.9517

0.9516

0.9515

0.9515

0.9514

0.9513

0.9513

0.9512

0.9512

0.9512

0.9511

0.9511

0.9511

0.9511

0.9510

0.9510

0.9510

0.9510

0.9510

0.9509

0.9509

0.9509

0.9509

0.9509

0.9509

0.9508

0.9508

0.9508

0.9508

0.9508

0.9508

0.9507

0.9507

0.9507

0.9507

0.9507

0.9507

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.9506

0.0491

0.0491

0.0491

0.0491

0.0491

0.0492

0.0492

0.0492

0.0492

0.0493

0.0493

0.0493

0.0493

0.0493

0.0494

0.0494

0.0494

0.0494

0.0494

0.0495

0.0495

0.0495

0.0495

0.0495

0.0495

0.0495

0.0495

0.0495

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

-175-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-3 . ^^22/^11== 2.00 p*- 0.076 x^=0. 0498 €22:/^ir ' 50

R* Sll ^12 ^22 ^11 hi ^22

0.850 0.0077 0.0321 0.1178 1.0000 1.0000 0.,1545

0.875 0.0578 0.1264 0.3235 1.0000 1.0000 0.,3731

0.900 0.1571 0.3471 0.6231 1.0000 1.0000 0,,5812

0.925 0.4074 0.6446 0.9360 1.0000 1.0000 0.,7185

0.950 0.7724 0.9650 1.2139 1.0000 1.0000 0,,7999

0.975 1.2688 1.2504 1.4101 1.0000 1.0000 0,,8482

1.000 1.4053 1.4527 1.5262 1.0000 1.0000 0.,8779

1.025 1.8273 1.5769 1.5802 1.0000 0.9999 0,,8972

1.050 1.8267 1.6489 1.5802 1.0000 0.9993 0,,9102

1.075 1.8432 1.6590 1.5587 1.0000 0.9938 0.,9194

1.100 1.9616 1.6424 1.5123 1.0000 0.9668 0,,9260

1.125 2.0546 1.6047 1.4614 1.0000 0.8873 0,,9310

1.150 1.7194 1.5672 1.4036 1.0000 0.7426 0,,9348

1.175 1.9196 1.5213 1.3485 0.9999 0.5697 0,,9378

1.200 1.9326 1.4697 1.2946 0.9998 0.4188 0,,9401

1.225 1.7071 1.4136 1.2452 0.9993 0.3095 0.,9420

1.250 1.5616 1.3513 1.1951 0.9941 0.2355 0.,9435

1.275 1.5077 1.3080 1.1541 0.9735 0.1856 0,,9447

1.300 1.6009 1.2716 1.1136 0.9231 0.1518 0.,9456

1.325 1.5379 1.2363 1.0800 0.8282 0.1283 0.,9464

1.350 1.2720 1.2009 1.0474 0.6927 0.1115 0,,9470

1.375 1.2818 1.1582 1.0216 0.5490 0.0991 0,,9475

1.400 1.3860 1.1384 0.9978 0.4267 0.0898 0., 947.9

1.425 1.2888 1.1158 0.9771 0.3330 0.0826 0.,9482

1.450 1.2263 1.0871 0.9596 0.2639 0.0770 0.,9484

1.475 1.1673 1.0652 0.9442 0.2139 0.0726 0..9486

1.500 1.1361 1.0385 0.9325 0.1777 0.0690 0,,9487

1.525 1.2014 1.0175 0.9213 0.1516 0.0660 0,,9488

1.550 1.1630 1.0082 0.9151 0.1322 0.0636 0..9488

1.575 1.2423 0.9940 0.9100 0.1176 0.0616 0..9487

1.600 1.0958 0.9732 0.9053 0.1063 0.0599 0,.9487

1.625 1.1671 0.9643 0.9037 0.0973 0.0584 0,.9486

1.650 1.0141 0.9565 0.9061 0.0900 0.0572 0..9485

1.675 1.0787 0.9528 0.9098 0.0841 0.0562 0..9484

1.700 1.0779 0.9387 0.9156 0.0793 0.0553 0..9483

1.725 1.0357 0.9333 0.9212 0.0753 0.0546 0..9482

1.750 0.9611 0.9324 0.9301 0.0718 0.0540 0..9481

1.775 1.0502 0.9232 0.9397 0.0689 0.0534 0..9480

1.800 1.0656 0.9187 0.9518 0.0665 0.0530 0,.9479

1.825 1.0050 0.9193 0.9629 0.0645 0.0526 0,.9479

1.850 0.9651 0.9201 0.9727 0.0627 0.0523 0,.9479

1.875 0.9679 0.9161 0.9831 0.0611 0.0520 0,.9479

1.900 0.9732 0.9195 0.9948 0.0597 0.0518 0..9479

1.925 0.9929 0.9224 1.0045 0.0586 0.0516 0,.9479

1.950 0.9560 0.9182 1.0109 0.0575 0.0515 0,.9480

1.975 0.9305 0.9237 1.0205 0.0566 0.0514 0,.9481

2.000 0.9351 0.9337 1.0249 0.0557 0.0513 0,.9481

2.025 0.9877 0.9335 1.0268 0.0550 0.0512 0,.9482

2.050 0.9269 0.9421 1.0320 0.0544 0.0512 0,.9483

2.075 0.8777 0.9476 1.0345 0.0538 0.0512 0,.9485

2.100 0.9033 0.9592 1.0334 0.0532 0.0513 0,.9486

2.125 0.9006 0.9585 1.0322 0.0527 0.0513 0,.9487

2.150 0.8941 0.9647 1.0311 0.0522 0.0513 0..9488

2.175 0.8667 0.9768 1.0289 0.0518 0.0514 0,.9489

2.200 0.8848 0.9895 1.0248 0.0514 0.0515 • 0,.9490

2.225 0.8684 0.9877 1.0229 0.0510 0.0516 0,.9491

2.250 0.8831 0.9994 1.0201 0.0507 0.0516 0..9491

2.275 0.8862 1.0060 1.0180 0.0505 0.0517 0,.9492

2.300 0.8890 1,0087 1.0138 0.0502 0.0518 0,.9493

2.325 0.8782 1.0155 1.0107 0.0500 0.0519 0,.9493

2.350 0.8696 1.0188 1.0072 0.0498 0.0520 0,.9494

2.375 0.9338 1.0248 1.0040 0.0497 0.0520 0,.9494

2.400 0.8770 1.0280 1.0029 0.0496 0.0521 0..9495

2.425 0.8477 1.0245 0.9999 0.0495 0.0521 0,,9495

2.450 0.8996 1.0240 0.9973 0.0493 0.0521 0.,9495

2.475 0.8436 1.0253 0.9956 0.0492 0.0521 0.,9496

2.500 0.9428 1.0249 0.9931 0.0492 0.0521 0.,9496

2.525 0.9129 1.0253 0.9930 0.0491 0.0521 0,,9496

176-
550

575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

000

3.025

050

075

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

0.9624

0.9479

0.8807

0.8977

0.9518

0.9549

0.9396

0.9299

0.9679

0.9441

0.9640

0.9630

0.9775

1.0114

0.9790

1.0017

0.9817

0.9840

1.0296

1.0274

1.0221

1.0239

1.0205

4.000

0248

,0569

,0010

,0644

,0029

1.0176

1.0110

1.0165

1.0201

1.0528

1.0188

1.0219

0.9658

1.0365

1.0353

1.0235

1.0233

1.0037

0.9990

1.0364

1.0339

1.0460

1.0497

1.0455

1.0016

1.0181

0.9760

1.0250

1.0274

0.9929

0.9785

1.0071

1.0035

0.9942

0.9903

0.9838

1.0153

1.0060

0.9787

1.0039

1.0000

,0190

0121

,0116

0106

0125

1.0101

1.0058

1.0011

1.0013

1.0024

0.9995

0.9954

0.9947

0.9944

0.9951

0.9941

0.9936

0.9933

0.9908

0.9917

0.9928

0.9892

0.9929

0.9943

0.9902

0.9936

0.9941

0.9967

0.9933

0.9954

0.9994

0.9962

0.9974

1.0029

1.0000

0.9988

1.0016

0.9992

1.0008

1.0013

1.0012

1.0009

1.0030

,0024

,0000

,0046

,0016

.0034

,0029

,0016

1.0037

0.9990

1.0027-

1.0000

0.9904

0.9916

0.9911

0.9903

0.9915

0.9917

0.9918

0.9919

0.9942

0.9950

0.9958

0.9960

0.9974

0.9991

0.9998

1.0015

1.0012

1.0021

1.0023

1.0024

1.0030

1.0032

1.0035

1.0038

1.0034

1.0039

1.0039

1.0034

1.0032

1.0022

1.0018

1.0012

1.0017

1.0005

1.0007

1.0006

1.0008

0.9998

1.0000

1.0002

0.9989

0.9999

0.9991

0.9990

0.9991

0.9984

0.9990

0.9994

0.9992

0.9991

1.0004

0.9999

0002

0003

0008

0006

0002

0005

1.0000

0.0492

0.0492

0.0492

0.0491

0.0492

0.0492

0.0493

0.0493

0.0493

0.0494

0.0495

0.0495

0.0496

0.0497

0.0498

0.0499

0.0500

0.0500

0.0501

0.0502

0.0503

0.0504

0.0505

0.0506

0.0506

0.0507

0.0507

0.0508

0.0508

0.0509

0.0508

0.0508

0.0509

0.0509

0.0509

0.0509

0.0508

0.0508

0.0508

0.0508

0.0508

0.0508

0.0508

0.0508

0.0507

0.0507

0.0507

0.0506

0.0506

0.0505

0.0505

0.0504

0.0504

0.0503

0.0503

0.0503

0.0503

0.0502

0.0502

0.0521

0.0521

0.0520

0.0520

0.0519

0.0518

0.0518

0.0517

0.0516

0.0515

0.0514

0.0514

0.0513

0.0512

0.0511

0.0511

0.0510

0.0509

0.0509

0.0508

0.0508

0.0507

0.0507

0.0506

0.0506

0.0506

0.0505

0.0505

0.0505

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.0503

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

177
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=-3 . p*= 0.078 x,= 0.0999 €^^/€,,= 0.50 ^22/^11= 2-00

22' 11

R* Sll ^12 ^22 ^11 ^12 ^22

0.850 0.0028 .0309 .1160 1.0000 .0000 .0788

0.875 0.0471 .1355 .3198 1.0000 .0000 .2179

0.900 0.1805 .3438 .6127 1.0000 .0000 .3934

0.925 0.4190 .6367 .9320 1.0000 .0000 .5447

0.950 0.7945 .9579 1 .2012 1.0000 .0000 .6522

0.975 1.0639 1,.2397 1 .3950 1.0000 .0000 .7237

1.000 1.4180 1,.4290 1 .5130 1.0000 .0000 .7712

1.025 1.7080 1 .5737 1 .5674 1.0000 .0000 .8035

1.050 1.7403 1,.6466 1 .5731 1.0000 .9996 .8262

1.075 1.7140 1,.6479 1 .5498 1.0000 .9968 .8426

1.100 1.7876 1,.6328 1 .5058 1.0000 .9838 .8546

1.125 1.8626 1,.6230 1 .4530 1.0000 .9438 .8638

1.150 1.7704 1,.5745 1 .3984 1.0000 .8605 .8708

1.175 1.6277 1,.5057 1,.3437 1.0000 .7388 .8763

1.200 1.6802 1 .4583 1,.2886 0.9999 .6066 .8806

1.225 1.6310 1..4098 1 .2417 0.9993 .4891 .8840

1.250 1.5138 1,.3586 1 .1913 0.9966 .3962 .8869

1.275 1.5425 1,.3155 1,.1487 0.9866 .3270 .8891

1.300 1.4447 1,.2699 1,.1138 0.9585 .2763 .8909

1.325 1.3815 1,.2279 1 .0764 0.9014 .2389 ,8924

1.350 1.3759 1,.2108 1,.0507 0.8141 .2111 .8936

1.375 1.3676 1,.1679 1,.0234 0.7081 .1901 .8946

1.400 1.3540 1..1327 .9974 0.6002 0,.1738 0,.8953

1.425 1.2605 1..1129 0,.9799 0.5028 0,.1611 0,.8959

1.450 1.2270 1,,0859 0,.9656 0.4214 0,.1510 0,.8964

1.475 1.2143 1,.0627 0,.9493 0.3571 0,.1429 0..8967

1.500 1.2142 1,.0401 0,.9355 0.3076 0,.1362 0..8970

1.525 1.1730 1,.0241 0..9278 0.2693 0,.1308 0,.8971

1.550 1.0879 1,.0054 0,.9199 0.2388 0..1263 0..8972

1.575 1.0634 1,.0057 0,.9153 0.2146 0..1225 0..8972

1.600 1.0617 0..9866 0,.9119 0.1955 0,.1194 0..8971

1.625 1 . 1044 0..9715 0,.9112 0.1805 0,.1168 0,.8970

1.650 1.0557 0,,9550 0,.9125 0.1684 0..1145 0,.8969

1.675 1.0573 0,.9522 0,.9179 0.1583 0,.1125 0,.8967

1.700 1.0056 0.,9463 0.,9190 0.1498 0,.1109 0,.8965

1.725 0.9962 0,,9364 0,,9260 0.1425 0,.1095 0,.8963

1.750 0.9987 0,,9303 0,,9326 0.1366 0,.1083 0.,8961

1.775 1.0133 0,,9260 0,,9420 0.1316 0,.1073 0,,8960

1.800 0.9458 0,,9218 0,,9532 0.1273 0,.1064 0.,8959

1.825 0.9676 0.,9245 0.,9631 0.1235 0,,1056 0.,8958

1.850 0.9311 0,,9178 0,,9738 0.1202 0,,1050 0.,8957

1.875 0.9275 0.,9233 0,,9829 0.1173 0.,1045 0.,8957

1.900 0.9515 0.,9216 0,,9934 0.1148 0,,1041 0.,8958

1.925 0.9480 0,,9186 1.,0014 0.1127 0,,1037 0.,8959

1.950 0.9576 0.,9259 1,,0107 0.1108 0,,1034 0.,8960

1.975 0.9258 0.,9286 1,,0169 0.1092 0.,1032 0. 8961

2.000 0.9599 0,,9275 1.,0221 0.1078 0.,1030 0.,8963

2.025 0.9231 0.,9374 1,,0263 0.1065 0.,1029 0. 8965

2.050 0.9279 0.,9372 1.,0283 0.1053 0.,1028 0. 8967

2.075 0.8857 0,,9507 1.,0307 0.1043 0.,1028 0. 8969

2.100 0.9242 0.,9540 1.,0304 0.1033 0. 1028 0. 8970

2.125 0.9079 0,,9543 1.,0297 0.1025 0.,1029 0. 8972

2.150 0.9433 0.,9695 1.,0288 0.1019 0. 1029 0. 8974

2.175 0.9230 0.,9734 1.,0269 0.1013 0. 1030 0. 8976

2.200 0.9348 0.,9860 1.,0245 0.1008 0. 1031 0. 8978

2.225 0.9095 0.,9959 1. 0219 0.1004 0. 1033 0. 8979

2.250 0.8712 0.,9964 1. 0210 0.0999 0. 1034 0. 8981

2.275 0.9326 1.,0040 1. 0174 0.0995 0. 1035 0. 8982

2.300 0.9394 1.,0149 1. 0126 0.0992 0. 1037 0. 8983

2.325 0.9319 1.,0131 1. 0101 0.0991 0. 1038 0. 8984

2.350 0.9139 1.,0179 1. 0081 0.0988 0. 1040 0. 8985

2.375 0.9048 1. 0195 1. 0054 0.0986 0. 1041 0. 8986

2.400 0.9371 1.,0225 1. 0022 0.0985 0. 1041 0. 8987

2.425 0.9342 1. 0240 0. 9983 0.0984 0. 1042 0. 8988

2.450 0.9410 1.,0282 0. 9989 0.0983 0. 1042 0. 8988

2.475 0.9211 1. 0258 0. 9964 0.0983 0. 1043 0. 8989

2.500 0.9431 1. 0231 0. 9949 0.0983 0. 1043 0. 8989

2.525 0.9456 1.,0237 0. 9929 0.0983 0. 1042 0. 8990

-178-
2.550

1.515

2.600

2.625

2.650

2.675

700

.725

.750

.775

.800

.825

.850

.875

2.900

2.925

.950

.975

.000

.025

3.050

3.075

.100

.125

.150

.175

.200

.225

3.250

3,275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

.500

.525

.550

.575

.600

.625

,650

3.675

700

,725

,750

,775

,800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9407

0.9409

0.9357

0.9226

0.9515

0.9536

0.9861

0.9546

0.9926

0.9821

0.9989

0.9848

0.9891

1.0238

0.9955

1.0106

1.0309

0.9975

0.9963

0.9966

1.0376

1.0248

,0129

,0251

0115

0256

0165

0570

0168

1.0564

1.0588

1.0307

1.0317

1.0151

1.0436

1.0050

1.0421

1.0484

1.0320

1.0474

1.0170

1.0437

1.0212

1.0294

1.0397

1.0095

1.0263

1.0008

1.0132

0.9996

1.0128

1.0174

0.9943

0.9981

1.0075

1.0095

0.9998

1.0265

1.0000

1.0220

1.0260

1.0231

1.0192

1.0176

1.0175

1.0156

1.0132

1.0089

1.0112

1.0079

1.0035

1.0064

1.0042

1.0021

1.0014

1.0012

0.9965

0.9982

0.9956

0.9967

0.9953

0.9942

0.9955

0.9964

0.9930

0.9916

0.9929

0.9928

0.9906

0.9933

0.9935

0.9953

0.9953

0.9964

0.9952

0.9999

0.9950

0.9967

0.9999

1.0002

1.0005

0.9958

1.0001

0.9982

1.0004

1.0015

1.0007

1.0009

1.0036

1.0038

1.0022

1.0026

1.0009

1.0042

1.0004

1.0002

0.9996

1.0000

0.9936

0.9937

0.9919

0.9923

0.9926

0.9928

0.9932

0.9942

0.9954

0.9956

0.9966

0.9973

0.9984

0.9977

1.0002

0.9995

1.0011

1.0020

1.0026

1.0018

1.0030

1.0036

1.0031

1.0030

1.0027

1.0021

1.0025

1.0030

1.0032

1.0020

1.0018

1.0018

1.0012

1.0010

1.0011

1.0002

1.0007

1.0010

1.0009

1.0005

1.0008

0.9995

0001

0004

0001

0.9995

1.0001

1.0000

0.9997

0.9997

0.9996

0.9999

0.9999

1.0000

1.0002

1.0007

1.0003

1.0007

1.0000

0.0983

0.0984

0.0984

0.0984

0.0985

0.0986

0.0987

0.0989

0.0990

0.0992

0.0994

0.0996

0.0998

0.1000

0.1002

0.1004

0.1006

0.1007

0.1009

0.1010

0.1012

0.1013

0.1015

0.1016

0.1017

0.1018

0.1019

0.1020

0.1021

0.1022

0.1023

0.1023

0.1023

0.1023

0.1023

0.1023

0.1023

0.1023

0.1023

0.1023

0.1023

0.1022

0.1022

0.1022

0.1021

0.1021

0.1020

0.1019

0.1019

0.1018

0.1017

0.1017

0.1016

0.1015

0.1015

0.1014

0.1013

0.1013

0.1013

0.1042

0.1041

0.1040

0.1039

0.1038

0.1037

0.1035

0.1034

0.1032

0.1031

0.1030

0.1028

0.1027

0.1025

0.1024

0.1023

0.1022

0.1020

0.1019

0.1018

0.1017

0.1016

0.1016

0.1015

0.1014

0.1014

0.1013

0.1013

0.1012

0.1012

0.1011

0.1011

0.1011

0.1010

0.1010

0.1010

0.1010

0.1010

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1009

0.1008

0.1008

0.1008

0.1008

0.1008

0.1008

0.1008

0.1008

0.1007

0.1007

0.1007

0.1007

0.8990

0.8990

0.8990

0.8991

0.8991

0.8991

0.8991

0.8991

0.8991

0.8991

0.8992

0.8992

0.8992

0.8992

0.8992

0.8992

0.8993

0.8993

0.8993

0.8993

0.8994

0.8994

0.8994

0.8994

0.8995

0.8995

0.8995

0.8995

0.8995

0.8996

0.8996

0.8996

0.8996

0.8996

0.8996

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

179-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . Ja^^= 2.00 p*= 0.087 x.= 0.2500 €^^/€,,= 0.50

22' 11 22' 11

R* Sll ^12 ^22 ^11 ^2 \l

0,,850 0.0092 0,,0295 0,,1120 1,.0000 .0000 0,.0212

0,,875 0.0457 0.,1283 0,,3111 1..0000 .0000 0,.0842

0,.900 0.1731 0.,3361 0,,5923 1,.0000 .0000 0,.1761

0,,925 0.4418 0,,6272 0,,9001 1..0000 .0000 0,.2822

0,,950 0.7538 0,,9348 ,1621 1..0000 .0000 0,.3809

0,.975 1.1237 1,,2059 ,3544 1,.0000 .0000 0,.4620

,000 1.4198 1,,4002 ,4705 1..0000 .0000 0,.5249

.025 1.6357 1,,5355 ,5252 1..0000 .0000 0,.5729

.050 1.7494 1.,6043 ,5302 1,.0000 0..9999 0..6091

,075 1.8109 1.,6107 ,5180 1..0000 0,.9990 0.,6369

,100 1.8427 1,,6064 ,4758 1,.0000 0,.9947 0,,6585

.125 1.8488 1.,5731 ,4313 1..0000 0,.9809 0,,6753

.150 1.7707 1,,5402 ,3786 1,.0000 0,.9493 0,,6886

.175 1.7343 1,,4911 ,3274 1,.0000 .8955 0,,6992

.200 1.6875 1,,4383 ,2742 1,.0000 .8239 0.,7077

.225 1.6208 1,,3945 ,2264 0,.9999 0,.7443 0,,7146

.250 1.5407 1.,3457 ,1819 0..9991 0,.6666 0.,7201

.275 1.5111 1.,3045 ,1452 0,.9960 0,.5970 0.,7247

.300 1.4467 1.,2648 ,1107 0,.9869 0,.5380 0,,7284

.325 1.4362 1,,2292 ,0763 0,.9671 .4892 0.,7314

.350 1.3758 1.,1908 ,0522 0.,9327 0,.4494 0.,7339

.375 1.3327 1,.1630 ,0286 0,,8835 0,.4171 0.,7360

.400 1.2972 1.,1340 ,0083 0,.8230 0,.3909 0,,7376

,425 1.2710 1,,1087 o!,9899 0,.7576 0,.3694 0,,7389

,450 1.2474 1.,0843 0,,9727 0..6927 0,.3516 0.,7400

,475 1.2226 1.,0621 0,,9618 0.,6324 0,.3369 0,,7408

,500 1.1971 1.,0439 0,,9505 0,.5789 .3247 0,,7414

.525 1.1899 1,,0317 0,,9416 0,.5326 0..3144 0.,7418

.550 1.1715 1.,0139 0,.9381 0,.4929 0,.3058 0,,7421

.575 1.1269 1,,0038 0,,9338 0,.4592 0,.2985 0,,7422

.600 1.1238 0,,9898 0,,9265 0,.4308 0,.2923 0,,7422

.625 1.0880 0.,9795 0,,9264 0,.4069 0,.2870 0.,7422

.650 1.0778 0,,9701 0,,9262 0..3865 0,.2825 0,,7420

.675 1.0640 0,,9624 0,,9243 0,.3691 0,.2786 0,,7418

.700 1.0654 0,,9590 0,,9311 0..3544 0,.2753 0,,7416

.725 1.0434 0,,9486 0.,9339 0,.3417 0,.2725 0,,7413

.750 1.0417 0.,9460 0,.9411 0,.3306 0,.2700 0,,7411

.775 1.0316 0.,9396 0..9494 0,.3212 0,.2679 0,,7409

.800 1.0061 0,,9371 0,.9571 0,.3129 0,.2661 0,.7408

.825 0.9892 0,,9331 0,.9665 0,.3056 0,.2645 0,,7408

,850 0.9963 0,,9390 0..9746 0,.2991 0,.2631 0,,7408

.875 1.0046 0,,9372 0,.9828 0,.2936 0,.2620 0,,7408

.900 0.9823 0,,9390 0,.9914 0,.2887 0,.2611 0,,7410

.925 0.9832 0,,9356 0,.9991 0,.2844 0..2603 0,,7411

.950 0.9639 0,,9402 .0065 0..2805 0..2596 0,,7413

.975 0.9732 0,.9399 .0119 0,.2771 0,.2591 0,,7416

1 .000 0.9692 0..9431 .0167 0,.2740 0,.2586 0,,7419

2 .025 0.9530 0,.9496 .0197 0,.2713 0..2583 0,,7423

2 .050 0.9721 0..9501 .0234 0,.2690 0,.2581 0,,7426

2 .075 0.9460 0,.9582 .0236 0,.2668 0,.2579 0.,7430

2 .100 0.9368 0,.9616 .0240 0..2648 0,.2578 0,,7433

2,.125 0.9492 0,.9676 .0253 0,.2631 0,.2578 0.,7437

2 .150 0.9566 0..9716 .0234 0,.2616 0,.2578 0.,7441

2 .175 0.9383 0..9793 .0230 0,.2603 0,.2579 0.,7444

2 .200 0.9403 0..9882 .0218 0,.2590 0,.2580 0.,7448

2 .225 0.9256 0,.9927 .0184 0,.2579 0,.2581 0,,7451

2 .250 0.9396 0..9959 .0168 0,.2569 0,.2583 0.,7454

2 .275 0.9307 .0012 .0148 0,.2561 0..2585 0.,7456

2 .300 0.9351 .0030 .0126 0,.2553 0,.2587 0.,7459

2 .325 0.9319 .0086 .0121 0..2546 0..2588 0,,7461

2 .350 0.9205 .0130 .0075 0..2540 0,.2590 0.,7463

2 .375 0.9272 .0127 .0065 0,.2534 0,.2591 0.,7465

2 .400 0.9334 .0162 .0051 0,.2529 0,.2592 0,,7467

2 .425 0.9251 .0170 ,0021 0,.2525 0,,2592 0.,7468

2 .450 0.9368 .0172 ,0015 0.,2522 0,,2592 0,,7470

2 .475 0.9325 .0195 o!,9987 0,,2519 0.,2592 0.,7471

2 .500 0.9288 .0216 0,,9971 0,,2516 0,,2592 0.,7472

2 .525 0.9345 .0206 0,,9984 0,,2514 0.,2591 0.,7473

-180
2.550

2.575

2.600

2.625

2.650

2.675

700

725

750

775

800

825

850

2.875

2.900

2.925

2.950

2.975

000

025

050

075

100

125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

900

925

950

975

000

0.9363

0.9402

0.9479

0.9458

0.9646

0.9466

0.9547

0.9748

0.9588

0.9634

0.9778

0.9676

0.9819

0.9984

0.9980

0.9940

1.0031

0.9947

1.0066

1.0117

1.0087

1.0148

1.0149

1.0179

1.0265

1.0160

1.0216

1.0303

1.0254

1.0262

1.0172

1.0260

,0330

.0246

,0148

,0273

.0146

1.0212

1.0168

1.0154

.0125

0189

0198

0183

0140

1.0045

1.0134

1.0099

1.0120

1.0094

1.0083

1.0058

1.0147

1.0042

1.0109

1.0034

1.0045

1.0006

1.0000

1.0192

1.0223

1.0213

1.0173

1.0177

1.0166

1.0153

1.0126

1.0110

0077

0083

0046

,0044

,0033

,0035

0.9976

1.0002

1.0002

0.9988

0.9982

0.9949

0.9963

0.9945

0.9981

0.9952

0.9960

0.9951

0.9983

0.9951

0.9951

0.9951

0.9975

0.9973

0.9965

0.9980

0.9980

0.9992

0.9989

0.9981

0.9986

1.0012

0.9981

1.0004

1.0009

0.9997

1.0012

1.0019

1.0000

1.0027

1.0034

1.0011

1.0024

1.0016

1.0037

1.0031

1.0027

1.0013

1.0030

1.0000

0.9960

0.9960

0.9947

0.9947

0.9951

0.9941

0.9956

0.9954

0.9947

0.9951

0.9967

0.9972

0.9967

0.9991

,0005

,0002

,0013

,0031

0032

1.0041

1.0029

1.0043

1.0024

1.0034

0035

0038

0048

0033

0033

1.0035

1.0021

0020

0013

0014

0008

0012

0015

0013

0.9989

1.0015

1.0000

1.0007

1.0003

1.0002

1.0001

1.0014

1.0015

1.0011

0.9996

1.0012

1.0012

1.0004

1.0006

1.0011

1.0014

1.0020

1.0020

1.0018

1.0000

0.2512

0.2511

0.2510

0.2510

0.2511

0.2511

0.2511

0.2513

0.2514

0.2515

0.2516

0.2517

0.2519

0.2521

0.2523

0.2526

0.2528

0.2530

0.2532

0.2534

0.2536

0.2538

0.2540

0.2542

0.2544

0.2545

0.2547

0.2548

0.2549

0.2550

0.2551

0.2551

0.2551

0.2551

0.2551

0.2551

0.2551

0.2550

0.2549

0.2548

0.2547

0.2547

0.2546

0.2545

0.2544

0.2543

0.2541

0.2540

0.2539

0.2538

0.2537

0.2535

0.2534

0.2533

0.2532

0.2531

0.2530

0.2529

0.2528

0.2590

0.2588

0.2587

0.2585

0.2582

0.2580

0.2577

0.2575

0.2572

0.2569

0.2567

0.2564

0.2561

0.2558

0.2556

0.2553

0.2551

0.2549

0.2546

0.2544

0.2542

0.2541

0.2539

0.2537

0.2536

0.2535

0.2533

0.2532

0.2531

0.2530

0.2529

0.2529

0.2528

0.2527

0.2527

0.2526

0.2526

0.2525

0.2525

0.2524

0.2524

0.2524

0.2524

0.2523

0.2523

0.2523

0.2523

0.2522

0.2522

0.2522

0.2522

0.2521

0.2521

0.2521

0.2520

0.2520

0.2520

0.2519

0.2519

0.7473

0.7474

0.7475

0.7475

0.7476

0.7476

0.7476

0.7477

0.7477

0.7477

0.7478

0.7478

0.7478

0.7479

0.7479

0.7480

0.7480

0.7481

0.7481

0.7482

0.7482

0.7483

0.7484

0.7484

0.7485

0.7485

0.7486

0.7486

0.7487

0.7487

0.7488

0.7488

0.7488

0.7489

0.7489

0.7489

0.7489

0.7490

0.7490

0.7490

0.7490

0.7491

0.7491

0.7491

0.7491

0.7491

0.7492

0.7492

0.7492

0.7492

0.7492

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7494

0.7494

-181
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . ^^22/^11= 2.00 p*= 0.105 x^-O. 5000 ^22:/hr 0- 50

R* Hi ^12 ^22 ^11 ^12 ^22

0.850 0.0044 .0286 0.1023 1.0000 .0000 0.0090

0.875 0.0414 .1182 0.2840 1.0000 .0000 0.0287

0.900 0.1626 .3072 0.5456 1.0000 .0000 0.0644

0.925 0.4051 .5843 0.8264 1.0000 .0000 0.1122

0.950 0.7256 .8720 1.0792 1.0000 .0000 0.1652

0.975 1.0475 .1351 1.2642 1.0000 .0000 0.2169

1.000 1.3505 .3248 1.3757 1.0000 .0000 0.2629

1.025 1.5625 .4455 1.4342 1.0000 .0000 0.3022

1.050 1.6914 .5094 1.4547 1.0000 .0000 0.3351

1.075 1.7515 .5393 1.4393 1.0000 0..9996 0.3622

1.100 1.7636 .5344 1.4042 1.0000 0,.9982 0.3842

1.125 1.7636 .5039 1.3690 1.0000 0,.9937 0.4023

1.150 1.7090 .4728 1.3249 1.0000 .9831 0.4171

1.175 1.6641 .4290 1.2792 1.0000 0,.9638 0.4292

1.200 1.6224 .3897 1.2446 1.0000 0,.9356 0.4393

1.225 1.5740 .3438 1.2009 1.0000 0,.9005 0.4477

1.250 1.5245 .3032 1.1582 0.9997 0,.8615 0.4545

1.275 1.4687 .2672 1.1251 0.9986 0,.8215 0.4600

1.300 1.4264 .2309 1.1023 0.9956 0,.7831 0.4647

1.325 1.3833 .2015 1.0717 0.9891 0,.7479 0.4686

1.350 1.3525 .1737 1.0496 0.9776 0,.7166 0.4718

1.375 1.2997 .1416 1.0333 0.9597 0,.6890 0.4745

1.400 1.2835 .1210 1.0154 0.9358 0,.6649 0.4768

1.425 1.2470 .0973 1.0013 0.9072 0,.6441 0.4787

1.450 1.2171 .0804 0.9905 0.8756 0,.6262 0.4803

1.475 1.1848 .0649 0.9814 0.8427 0,.6109 0.4817

1.500 1.1792 .0491 0.9751 0.8102 0,.5977 0.4829

1.525 1.1516 .0340 0.9667 0.7794 0,.5863 0.4838

1.550 1.1425 .0221 0.9647 0.7508 0,.5765 0.4846

1.575 1.1138 .0160 0.9625 0.7247 0,.5681 0.4853

1.600 1.0869 .0045 0.9606 0.7010 0,.5607 0.4858

1.625 1.0866 o!.9955 0.9576 0.6797 0..5543 0.4863

1.650 1.0743 0..9908 0.9563 0.6607 0..5488 0.4866

1.675 1.0556 0,.9838 0.9588 0.6439 0,.5440 0.4869

1.700 1.0455 0,.9847 0.9589 0.6290 0,.5400 0.4871

1.725 1.0362 0,.9786 0.9612 0.6157 0,.5364 0.4872

1.750 1.0265 0..9743 0.9641 0.6039 0..5333 0.4874

1.775 1.0134 0,,9714 0.9653 0.5934 0..5306 0.4875

1.800 1.0155 0,,9656 0.9688 0.5840 0,.5282 0.4876

1.825 1.0089 0,,9614 0.9761 0.5757 0,.5261 0.4877

1.850 1.0110 0,,9640 0.9806 0.5684 0,.5243 0.4879

1.875 0.9996 0,,9596 0.9864 0.5619 0,.5227 0.4881

1.900 0.9996 0,,9613 0.9928 0.5561 0,.5213 0.4884

1.925 0.9909 0,,9602 0.9937 0.5509 0..5200 0.4887

1.950 0.9916 0.,9582 1.0028 0.5462 0..5189 0.4890

1.975 0.9846 0,,9599 1.0025 0.5420 0,.5180 0.4894

2.000 0.9809 0,,9606 1.0069 0.5382 0,.5171 0.4897

2.025 0.9788 0,,9636 1.0090 0.5348 0,.5164 0.4901

2.050 0.9725 0,,9659 1.0151 0.5317 0,.5158 0.4905

2.075 0.9702 0.,9680 1.0128 0.5290 0..5152 0.4909

2.100 0.9758 0.,9713 1.0160 0.5265 0,.5147 0.4913

2.125 0.9681 0.,9749 1.0149 0.5243 0,,5143 0.4917

2.150 0.9683 0,,9793 1.0146 0.5223 0,,5139 0.4921

2.175 0.9717 0,,9791 1.0146 0.5205 0,,5136 0.4925

2.200 0.9612 0,,9836 1.0123 0.5189 0,,5134 0.4929

2.225 0.9599 0.,9886 1.0097 0.5174 0,,5132 0.4932

2.250 0.9612 0.,9940 1.0091 0.5160 0,,5130 0.4935

2.275 0.9621 0,,9958 1.0089 0.5148 0,,5129 0.4938

2.300 0.9574 0.,9964 1.0074 0.5138 0,,5128 0.4941

2.325 0.9566 1,,0013 1.0065 0.5128 0.,5127 0.4944

2.350 0.9561 1.,0042 1.0047 0.5119 0.,5126 0.4946

2.375 0.9542 1,,0066 1.0047 0.5110 0.,5125 0.4948

2.400 0.9594 1,,0058 1 . 0040 0.5103 0.,5124 0.4950

2.425 0.9580 1.,0091 1.0025 0.5097 0. 5123 0.4952

2.450 0.9515 1,.0100 1.0029 0.5091 0.,5122 0.4954

2.475 0.9558 1..0126 1.0011 0.5085 0.,5120 0.4955

2.500 0.9564 1,.0122 1.0000 0.5080 0.,5119 0.4957

2.525 0.9504 1,.0106 1.0007 0.5076 0..5117 0.4958

182
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

.750

,775

.800

.825

.850

.875

2.900

2.925

2.950

2.975

3.000

3.025

.050

.075

.100

.125

.150

.175

3.200

3.225

.250

.275

.300

.325

.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9584

0.9560

0.9638

0.9577

0.9647

0.9632

0.9611

0.9679

0.9688

0.9755

0.9798

0.9751

0.9827

0.9799

0.9845

0.9873

0.9909

0.9883

0.9938

0.9994

1.0003

0.9963

0.9995

1.0035

1.0071

0080

0032

0064

0049

0079

1.0124

1.0047

1.0081

0090

,0088

,0095

,0059

0096

1.0077

1.0077

1.0081

1.0098

1.0027

1.0070

1.0056

1.0064

1.0056

1.0075

1.0032

1.0048

1.0008

1.0030

1.0040

.0117

,0094

,0109

,0095

,0112

,0097

,0096

0067

1.0063

1.0069

1.0079

1.0031

1.0030

0029

0005

,0016

0011

0009

,0000

0.9991

0.9975

0.9979

0.9989

0.9988

0.9986

0.9980

1.0009

1.0013

1.0010

0.9995

0.9992

0.9992

1.0005

0.9997

0.9986

0.9994

0.9997

0018

0036

0003

0035

0003

0000

,0000

,0003

,0002

,0007

,0010

1.0007

1.0002

1 . 0008

1.0011

1.0005

1.0017

1.0025

1.0012

1.0015

1.0018

1.0011

1.0024

1.0012

1.0014

1.0015

1.0002

1.0000

0.9979

1.0004

0.9999

0.9968

0.9981

0.9976

0.9986

0.9988

0.9979

1.0008

1.0000

1.0006

0.9996

1.0014

1.0015

1.0015

1.0015

1.0011

1.0019

1.0004

1.0015

1.0027

1.0027

1.0033

1.0039

1.0020

1.0034

1.0025

1.0032

1.0014

1.0037

1.0021

1.0024

1.0025

1.0004

1.0015

1.0011

1.0013

1.0014

1.0023

1.0021

1.0009

1.0019

1.0012

1.0017

1.0014

1.0007

1.0008

1.0020

1.0012

1.0016

1.0027

1.0010

1.0022

1.0021

1.0016

1.0033

1.0032

1.0000

0.5071

0.5067

0.5064

0.5061

0.5059

0.5057

0.5055

0.5053

0.5052

0.5052

0.5051

0.5051

0.5051

0.5051

0.5051

0.5052

0.5052

0.5053

0.5054

0.5054

0.5055

0.5056

0.5057

0.5057

0.5058

0.5059

0.5059

0.5059

0.5060

0.5060

0.5060

0.5060

0.5060

0.5059

0.5059

0.5058

0.5057

0.5057

0.5056

0.5055

0.5054

0.5053

0.5052

0.5051

0.5049

0.5048

0.5047

0.5046

0.5044

0.5043

0.5042

0.5041

0.5039

0.5038

0.5037

0.5036

0.5035

0.5034

0.5033

0.5115

0.5113

0.5110

0.5107

0.5105

0.5102

0.5099

0.5096

0.5093

0.5090

0.5087

0.5084

0.5081

0.5078

0.5075

0.5072

0.5070

0.5067

0.5065

0.5063

0.5060

0.5058

0.5056

0.5055

0.5053

0.5051

0.5050

0.5049

0.5047

0.5046

0.5045

0.5044

0.5043

0.5042

0.5041

0.5040

0.5039

0.5038

0.5038

0.5037

0.5036

0.5036

0.5035

0.5034

0.5034

0.5033

0.5033

0.5032

0.5031

0.5031

0.5030

0.5030

0.5029

0.5029

0.5028

0.5028

0.5027

0.5027

0.5026

0.4959

0.4960

0.4962

0.4962

0.4963

0.4964

0.4965

0.4966

0.4967

0.4967

0.4968

0.4969

0.4970

0.4970

0.4971

0.4972

0.4973

0.4973

0.4974

0.4975

0.4975

0.4976

0.4977

0.4978

0.4978

0.4979

0.4980

0.4980

0.4981

0.4982

0.4982

0.4983

0.4983

0.4984

0.4984

0.4985

0.4985

0.4985

0.4986

0.4986

0.4987

0.4987

0.4987

0.4988

0.4988

0.4988

0.4989

0.4989

0.4989

0.4989

0.4990

0.4990

0.4990

0.4991

0.4991

0.4991

0.4991

0.4992

0.4992

183
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . "22/^^11== 2.00 p*- 0.131 x^-0. 7500 ^22:/Hr ^• 50

R* Hi ^12 ^22 ^11 ^12 X22

0.850 0.0045 0.0263 0.0891 1.0000 1.0000 0,,0029

0.875 0.0374 0.1093 0.2428 1.0000 1.0000 0.,0091

0.900 0.1462 0.2785 0.4763 1.0000 1.0000 0,,0210

0.925 0.3652 0.5360 0.7155 1.0000 1.0000 0.,0378

0.950 0.6653 0.7940 0.9446 1.0000 1.0000 0.,0579

0.975 0.9681 1.0269 1.1118 1.0000 1.0000 0,,0793

1.000 1.2271 1.2122 1.2273 1.0000 1.0000 0.,1000

1.025 1.4124 1.3262 1.2847 1.0000 1.0000 0,,1191

1.050 1.5288 1.3922 1.3203 1.0000 1.0000 0,,1361

1.075 1.5889 1.4206 1.3182 1.0000 0.9999 0.,1511

1.100 1.6217 1.4220 1.2929 1.0000 0.9994 0,,1639

1.125 1.6134 1.4099 1.2645 1.0000 0.9979 0,,1747

1.150 1.5703 1.3799 1.2324 1.0000 0.9946 0.,1838

1.175 1.5509 1.3468 1.1991 1.0000 0.9885 0,,1914

1.200 1.5093 1.3127 1.1717 1.0000 0.9790 0.,1979

1.225 1.4598 1.2782 1.1415 1.0000 0.9667 0.,2034

1.250 1.4159 1.2382 1.1108 0.9999 0.9524 0,,2079

1.275 1.3849 1.2109 1.0943 0.9995 0.9367 0,,2118

1.300 1.3356 1.1774 1.0682 0.9985 0.9207 0.,2151

1.325 1.3010 1.1593 1.0610 0.9964 0.9050 0,,2180

1.350 1.2748 1.1363 1.0355 0.9925 0.8902 0,,2204

1.375 1.2432 1.1177 1.0353 0.9864 0.8764 0,,2225

1.400 1.2127 1.0972 1.0244 0.9780 0.8639 0,,2245

1.425 1.1866 1.0805 1.0172 0.9675 0.8524 0.,2262

1.450 1.1615 1.0626 1.0087 0.9556 0.8422 0,,2277

1.475 1.1496 1.0523 1.0102 0.9427 0.8333 0.,2291

1.500 1.1180 1.0446 1.0046 0.9292 0.8253 0.,2303

1.525 1.1140 1.0325' 1.0080 0.9157 0.8184 0,,2315

1.550 1.0989 1.0315 0.9946 0.9026 0.8122 0,,2326

1.575 1.0859 1.0238 0.9983 0.8901 0.8069 0.,2335

1.600 1.0717 1.0207 0.9877 0.8783 0.8021 0,,2343

1.625 1.0596 1.0132 0.9908 0.8674 0.7979 0,,2351

1.650 1.0486 1.0116 0.9888 0.8573 0.7943 0,,2357

1.675 1.0438 1.0083 0.9932 0.8479 0.7910 0,,2364

1.700 1.0313 1.0048 0.9919 0.8394 0.7882 0,,2370

1.725 1.0223 1.0072 0.9898 0.8317 0.7856 0,,2375

1.750 1.0180 1.0027 0.9862 0.8246 0.7834 0,,2380

1.775 1.0119 0.9992 0.9871 0.8183 0.7814 0,,2384

1.800 1.0106 0.9998 0.9926 0.8125 0.7796 0,,2388

1.825 1.0102 0.9980 0.9911 0.8073 0.7780 0,,2392

1.850 1.0034 0.9930 0.9841 0.8026 0.7765 0.,2396

1.875 1.0051 0.9914 1.0009 0.7984 0.7751 0.,2399

1.900 0.9973 0.9939 0.9904 0.7947 0.7738 0.,2403

1.925 0.9973 0.9933 0.9929 0.7912 0.7727 0,,2406

1.950 0.9938 0.9882 1.0052 0.7881 0.7716 0..2409

1.975 0.9922 0.9855 1.0013 0.7853 0.7706 0,,2413

2.000 1.0016 0.9882 1.0018 0.7828 0.7697 0.,2416

2.025 0.9920 0.9838 1.0022 0.7805 0.7688 0,,2419

2.050 0.9950 0.9918 1.0049 0.7784 0.7679 0,,2422

2.075 0.9930 0.9910 1.0070 0.7765 0.7672 0,,2426

2.100 0.9867 0.9896 1.0089 0.7748 0.7665 0,,2429

2.125 0.9915 0.9855 1.0117 0.7732 0.7659 0,,2432

2.150 0.9854 0.9891 1.0008 0.7718 0.7653 0,,2435

2.175 0.9893 0.9897 1.0053 0.7705 0.7648 0,,2437

2.200 0.9871 0.9917 1.0056 0.7693 0.7643 0,,2439

2.225 0.9853 0.9937 1.0058 0.7683 0.7638 0,,2442

2.250 0.9851 0.9918. 1.0090 0.7673 0.7633 0.,2444

2.275 0.9860 0.9949 1.0107 0.7664 0.7629 0.,2447

2.300 0.9824 0.9934 1.0021 0.7655 0.7625 0,,2449

2.325 0.9837 0.9995 1.0064 0.7647 0.7621 0,,2450

2.350 0.9825 0.9991 1.0040 0.7640 0.7618 0.,2452

2.375 0.9834 1.0001 1.0037 0.7633 0.7615 0.,2454

2.400 0.9862 1.0007 1.0069 0.7627 0.7612 0,,2456

2.425 0.9766 1.0015 1.0009 0.7621 0.7609 0,,2457

2.450 0.9800 1.0019 1.0025 0.7615 0.7606 0,,2459

2.475 0.9789 1.0003 1.0032 0.7610 0.7604 0,,2460

2.500 0.9751 1 . 0044 1.0010 0.7605 0.7601 0,,2461

2.525 0.9779 0.9993 0.9984 0.7600 0.7598 0,,2462

-184
2 .550 .9826 1 .0048 1 0006 7596 7596 2463 2 .575 .9756 1 .0025 1 0004 7591 7594 2464 2 .600 9748 1 .0033 1 0008 7587 7591 2465 2 .625 9793 .9996 1 0001 7583 7588 2466 2 .650 9785 1 .0039 9963 7580 7586 2467 2 .675 9813 1 .0030 9986 7576 7583 2468 2 .700 9798 1 .0009 1 0031 7573 7581 2469 2 .725 9822 1 .0014 9997 7570 7578 2470 2 750 9849 1 .0015 9966 7568 7576 2470 2 775 9835 9995 1 0005 7565 7574 2471 2 800 9871 1 0024 1 0036 7563 7571 2472 2 825 9844 1 0011 9995 7561 7569 2473 2 850 9844 1 0006 1 0012 7559 7567 2473 2 875 9876 9985 9996 7557 7565 2474 2 900 9858 1 0034 1 0016 7556 7563 2475 2 925 9921 1 0016 1 0011 7554 7561 2475 2 950 9903 9998 1 0049 7553 7559 2476 2 975 9920 1 0007 9997 7552 7558 2477 3 000 9967 1 0032 9995 7551 7556 2477 3 025 9965 9988 1 0007 7550 7554 2478 3 050 9964 1 0012 1 0018 7549 7552 2478 3 075 9952 1 0035 1 0015 7549 7551 2479 3 100 9986 1 0014 1 0005 7548 7550 2480 3 125 9952 1 0005 1 0012 7547 7548 2480 3 150 1 0001 1 0003 1 0011 7546 7547 2481 3 175 1 0002 1 0011 1 0006 7545 7546 2481 3 200 1 0017 1 0000 1 0013 7545 7544 2482 3 225 9996 1 0028 1 0010 7545 7543 2482 3 250 9998 9994 1 0062 7544 7542 2483 3 275 1 0003 1 0009 1 0076 7543 7541 2483 3 300 1 0002 1 0010 1 0044 7543 7540 2484 3 325 1 0025 1 0019 1 0035 7542 7539 2485 3 350 1 0032 1 0020 1 0073 7542 7538 2485 3 375 1 0038 1 0025 1 0043 7541 7538 2486 3 400 1 0009 1 0003 1 0023 7541 7537 2486 3 425 1 0009 1 0004 1 0029 7540 7536 2487 3 450 1 0014 1 0008 1 0029 7539 7535 2487 3 475 1 0044 1 0016 1 0013 7539 7534 2487 3 500 1 0035 1 0001 1 0036 7538 7534 2488 3 525 1 0017 1 0025 1 0027 7538 7533 2488 3 550 1 0003 9990 1 0040 7537 7533 2488 3 575 9976 9979 1 0000 7536 7532 2489 3 600 1 0006 1 0011 1 0033 7535 7531 2489 3 625 1 0015 1 0006 1 0034 7535 7530 2489 3 650 1 0016 1 0017 1 0008 7534 7530 2490 3 675 1 0020 1 0002 9992 7533 7529 2490 3 700 1 0033 1 0021 1 0015 7532 7529 2490 3 725 1 0007 1 0011 1 0025 7532 7528 2490 3 750 1 0000 1 0022 1 0016 7531 7528 2491 3 775 1 0008 9995 1 0006 7530 7527 2491 3 800 1 0001 1 0000 1 0026 7530 7527 2491 3 825 1 0016 1 0020 1 0036 7529 7526 2491 3 850 1 0016 1 0017 1 0003 7529 7526 2492 3 875 1 0006 1 0009 1 0036 7528 7525 2492 3 900 1 0005 1 0010 1 0028 7527 7525 2492 3 925 9978 1 0012 1 0012 7527 7524 2492 3 950 9991 1 0003 9998 7526 7524 2493 3 975 9991 1 0008 1 0020 7525 7523 2493 4 000 1 0000 1 0000 1 0000 7525 7523 2493

-185-
^^22/^11= 2.00 p*= 0.151 x^- 0.^?00]' ^22 /e,,= o.:30

R* Sll ^12 §22 ^11 ^12 ^22

0.850 0.0043 0.0223 0.0735 1,.0000 1.0000 0.0009

0.875 0.0356 0.0982 0.2158 1..0000 1.0000 0.0028

0.900 0.1370 0.2579 0.4186 1,.0000 1.0000 0.0066

0.925 0.3375 0.4778 0.6346 1,.0000 1.0000 0.0121

0.950 0.6065 0.7368 0.8426 1,.0000 1.0000 0.0189

0.975 0.8924 0.9577 0.9913 1,.0000 1.0000 0.0262

1.000 1.1386 1.1192 1.1046 1,.0000 1.0000 0.0336

1.025 1.3113 1.2383 1.1528 1,.0000 1.0000 0.0406

1.050 1.4357 1.3008 1.1687 1,.0000 1.0000 0.0469

1.075 1.4902 1.3336 1.1983 1,,0000 1.0000 0.0526

1.100 1.5064 1.3281 1.1911 1,.0000 0.9998 0.0577

1.125 1.5103 1.3288 1.1651 1,.0000 0.9994 0.0621

1.150 1.4815 1.3045 1.1371 1,.0000 0.9984 0.0658

1.175 1.4520 1.2734 1.1051 1,.0000 0.9964 0.0690

1.200 1.4156 1.2469 1.0865 1,.0000 0.9934 0.0716

1.225 1.3797 1.2138 1.0759 1,.0000 0.9894 0.0740

1.250 1.3392 1.1914 1.0497 1,.0000 0.9846 0.0760

1.275 1.3026 1.1596 1.0259 0,.9999 0.9793 0.0776

1.300 1.2721 1.1490 1.0268 0,.9995 0.9738 0.0791

1.325 1.2457 1.1232 1.0223 0,.9988 0.9682 0.0804

1.350 1.2103 1.1022 1.0193 0,.9976 0.9628 0.0816

1.375 1.1831 1.0861 0.9999 0,.9956 0.9577 0.0827

1.400 1.1608 1.0692 1.0128 0,.9928 0.9531 0.0836

1.425 1.1421 1.0599 0.9931 0,.9894 0.9488 0.0845

1.450 1.1193 1.0484 1.0036 0,.9852 0.9448 0.0853

1.475 1.1041 1.0388 0.9880 0,.9807 0.9412 0.0860

1.500 1.0864 1.0293 1.0014 0,.9759 0.9379 0.0867

1.525 1.0758 1.0273 0.9969 0,.9710 0.9351 0.0874

1.550 1.0598 1.0246 0.9920 0,.9662 0.9325 0.0880

1.575 1.0512 1.0188 0.9967 0,.9614 0.9303 0.0885

1.600 1.0422 1.0220 1.0129 0,.9569 0.9284 0.0891

1.625 1.0300 1.0196 1.0065 0,.9526 0.9266 0.0896

1.650 1.0263 1.0148 1.0113 0,.9487 0.9250 0.0901

1.675 1.0204 1.0193 1.0022 0,.9450 0.9236 0.0906

1.700 1.0149 1.0161 1.0083 0,.9415 0.9224 0.0910

1.725 1.0094 1.0178 1.0151 0,.9383 0.9212 0.0915

1.750 1.0044 1.0157 1.0028 0,.9354 0.9202 0.0919

1.775 1.0029 1.0129 1.0016 0,.9327 0.9193 0.0922

1.800 1.0000 1.0156 0.9990 0,.9303 0.9184 0.0925

1.825 1.0003 1.0156 1.0106 0,.9281 0.9176 0.0929

1.850 0.9968 1.0113 1.0099 0,.9261 0.9168 0.0932

1.875 0.9986 1.0089 1.0017 0,.9243 0.9161 0.0935

1.900 0.9971 1.0091 1.0108 0,,9226 0.9155 0.0937

1.925 0.9985 1.0055 0.9947 0,.9211 0.9149 0.0940

1.950 0.9995 1.0073 1.0010 0,.9198 0.9143 0.0942

1.975 0.9951 1.0041 1.0018 0,.9185 0.9138 0.0944

2.000. 1.0018 1.0028 0.9996 0,.9174 0.9133 0.0946

2.025 0.9997 1.0035 0.9997 0..9163 0.9128 0.0948

2.050 0.9998 1.0016 1.0066 0,.9154 0.9123 0.0950

2.075 0.9968 1.0005 1.0036 0,.9146 0.9119 0.0952

2.100 1.0025 1.0020 1.0050 0,.9138 0.9115 0.0954

2.125 1.0006 1.0011 1.0040 0..9131 0.9111 0.0956

2.150 1.0006 1.0025 1.0069 0,.9125 0.9106 0.0957

2.175 1.0016 1.0010 0.9975 0..9119 0.9102 0.0959

2.200 1.0020 0.9984 1.0035 0,.9113 0.9099 0.0960

2.225 0.9995 1.0021 1.0015 0.,9108 0.9095 0.0961

2.250 1.0023 1.0056 1.0000 0,,9104 0.9092 0.0963

2.275 0.9979 1.0009 1.0013 0,,9099 0.9089 0.0964

2.300 0.9995 1.0010 1.0045 0,,9095 0.9085 0.0965

2.325 0.9973 0.9995 1.0000 0,,9092 0.9082 0.0966

2.350 0.9988 0.9991 1.0018 0,,9088 0.9079 0.0967

2.375 0.9966 1.0008 1.0023 0,,9085 0.9077 0.0968

2.400 0.9957 1.0014 1.0047 0,,9081 0.9075 0.0969

2.425 0.9948 1.0018 1.0020 0,,9078 0.9072 0.0970

2.450 0.9936 1.0030 1.0073 0,,9075 0.9070 0.0971

2.475 0.9933 0.9993 1.0026 0,,9072 0.9067 0.0972

2.500 0.9923 1.0010 1.0098 0,,9069 0.9065 0.0973

2.525 0.9939 1.0014 1.0007 0,,9067 0.9063 0.0974

-186
,550

.575

.600

625

,650

,675

,700

,725

750

lib

800

2.825

2.850

2.875

.900

.925

.950

.975

.000

.025

.050

.075

.100

.125

.150

.175

.200

.225

.250

.275

.300

.325

.350

.375

.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

,900

,925

,950

,975

4.000

0.9921

0.9936

0.9919

0.9953

0.9938

0.9959

0.9933

0.9948

0.9947

0.9964

0.9956

0.9963

0.9949

0.9968

0.9946

0.9991

0.9966

0.9971

0.9999

0.9979

0.9977

0.9988

0.9992

0.9999

0.9978

0.9998

0.9982

0.9994

0.9987

1.0007

1.0007

1.0007

0.9992

1.0003

0.9999

1.0008

1.0001

1.0006

1.0011

1.0008

1.0011

1.0022

1.0007

1.0011

1.0015

1.0026

1.0016

1.0017

1.0018

1.0009

1.0002

1.0006

0.9996

0.9996

1.0021

1.0004

1.0008

0.9999

1.0000

1.0017

0.9995

1.0033

1.0020

0.9998

1.0005

1.0012

1.0003

1.0001

0.9997

1.0028

0.9995

1.0015

1.0005

1.0010

1.0009

1.0030

1.0007

1.0016

1.0011

1.0004

0.9994

0.9992

1.0008

1.0010

0.9998

1.0016

1.0011

1.0008

1.0005

0.9999

1.0005

0.9997

1.0021

1.0017

1.0017

,0012

,0010

,0022

,0019

,0021

1.0017

1.0026

1.0011

1.0031

1.0017

1.0007

,0025

,0009

0012

0033

,0016

,0024

,0030

1.0034

1.0017

1.0026

1.0034

1.0000

0.9939

0.9974

1.0015

1.0000

0.9926

0.9939

0.9934

0.9952

0.9969

0.9900

0.9901

1.0038

0.9984

0.9957

0.9976

0.9966

1.0046

0.9980

0.9987

1.0028

1.0043

0.9960

0.9994

0.9954

0.9987

1.0013

1.0038

0.9973

1.0023

0.9976

1.0028

0.9987

1.0005

1.0013

0.9992

1.0012

1.0001

1.0042

0.9972

1.0013

1.0008

1.0024

1.0014

1.0022

1.0009

1.0047

0055

0032

0039

0052

0026

0063

0003

0011

0053

0042

0014

0015

0000

0.9064

0.9062

0.9059

0.9057

0.9055

0.9053

0.9051

0.9049

0.9047

0.9046

0.9044

0.9043

0.9041

0.9040

0.9039

0.9038

0.9037

0.9035

0.9035

0.9034

0.9033

0.9032

0.9031

0.9030

0.9030

0.9029

0.9028

0.9027

0.9027

0.9026

0.9026

0.9025

0.9025

0.9024

0.9023

0.9023

0.9022

0.9022

0.9022

0.9021

0.9021

0.9020

0.9020

0.9020

0.9019

0.9019

0.9018

0.9018

0.9018

0.9018

0.9017

0.9017

0.9017

0.9016

0.9016

0.9016

0.9015

0.9015

0.9015

0.9061

0.9059

0.9058

0.9056

0.9055

0.9053

0.9052

0.9050

0.9049

0.9047

0.9046

0.9045

0.9044

0.9042

0.9041

0.9040

0.9039

0.9038

0.9037

0.9037

0.9036

0.9035

0.9034

0.9033

0.9032

0.9031

0.9031

0.9030

0.9029

0.9029

0.9028

0.9027

0.9026

0.9026

0.9025

0.9025

0.9025

0.9024

0.9024

0.9023

0.9023

0.9023

0.9022

0.9022

0.9022

0.9021

0.9021

0.9021

0.9021

0.9020

0.9020

0.9020

0.9020

0.9019

0.9019

0.9019

0.9018

0.9018

0.9018

0.0975

0.0975

0.0976

0.0976

0.0977

0.0977

0.0978

0.0978

0.0978

0.0979

0.0979

0.0979

0.0980

0.0980

0.0981

0.0981

0.0981

0.0982

0.0982

0.0983

0.0983

0.0983

0.0984

0.0984

0.0984

0.0985

0.0985

0.0985

0.0986

0.0986

0.0986

0.0987

0.0987

0.0987

0.0987

0.0988

0.0988

0.0988

0.0988

0.0989

0.0989

0.0989

0.0989

0.0989

0.0990

0.0990

0.0990

0.0990

0.0991

0.0991

0.0991

0.0991

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

0.0992

-187
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . 2.00 p*= 0.158 x-= 0.9502 e. „/£,,= 0.50 ^22/^11 22' 11

R* '11 '12 '22 11

X

12 22

0,.850 0,.0041 .0224 .0739 1,.0000 1 .0000 .0004

0.,875 .0333 .0927 .1994 1,.0000 1,.0000 .0013

0..900 0,.1310 .2466 .4021 1,.0000 1,.0000 .0031

0..925 0,.3239 .4635 .6115 1,.0000 1,.0000 .0057

0..950 0,.5888 .7055 .7433 1,.0000 1 .0000 .0087

0..975 0,.8614 .9098 .9228 1 .0000 1,.0000 .0120

.000 1,.0976 1,.0790 1 .0414 1,.0000 1,.0000 .0155

.025 1,.2771 1,.1932 1 .0772 1,.0000 1,.0000 .0188

.050 1,.3897 1,.2638 1 .1437 1,.0000 1 .0000 .0219

.075 1,.4482 1,.2841 1,.1651 1,.0000 1,.0000 .0248

.100 1,.4664 1,.2965 1 .1220 1,.0000 .9999 .0273

.125 1,.4673 1,.2844 1 .1096 1,.0000 0,.9997 .0294

.150 1,.4424 1,.2666 1,.1063 1,.0000 0,.9993 .0313

.175 1,.4140 1,.2371 1,.0729 1 .0000 .9984 .0330

.200 1..3844 1,.2133 1 .0529 1,.0000 0,.9969 .0343

.225 1,.3469 1,.1848 1 .0734 1,.0000 0,.9950 .0356

.250 .3098 1,.1606 .9965 1,.0000 0,.9928 .0366

,275 .2737 1,.1398 1 .0203 0,.9999 0,.9905 .0374

.300 .2452 1,.1228 1 .0042 0,.9998 0,.9880 .0382

,325 .2142 1,.0969 .9872 0,.9995 0,.9854 .0388

,350 .1875 1,.0806 .9810 0,.9989 0,.9828 .0394

,375 .1645 1,.0672 .9932 0,.9979 0,.9804 .0400

,400 .1438 1,.0585 0,.9661 0,.9967 0,.9781 .0404

,425 .1194 1,.0417 1,.0035 0,.9950 0,.9759 .0409

,450 .1045 1,.0330 .9996 0,.9931 0,.9739 0,.0413

,475 .0936 1,.0207 0,.9827 0,.9910 0,.9721 .0417

,500 ,0736 1,.0192 0,.9972 0,.9887 0,.9706 0,.0421

,525 ,0600 1,.0126 1,.0042 0,.9864 0..9691 0,.0425

,550 ,0490 1,.0127 1,.0067 0,.9840 0,.9678 0,.0429

,575 ,0386 1,.0117 1,.0148 0,.9817 0,.9667 0,.0432

,600 ,0291 1,.0090 1,.0042 0,.9795 0,.9657 0,.0435

,625 ,0214 1,.0142 1,.0015 0,.9774 0..9647 0,.0438

,650 ,0166 1..0126 1,.0012 0,.9755 0,.9639 .0441

,675 ,0105 1,.0128 0,.9968 0.,9736 0,.9632 0,.0444

,700 ,0077 1,,0204. 0,.9986 0,.9719 0..9626 0,.0446

,725 ,0033 1..0174 1,.0335 0,.9704 0,.9620 0..0449

,750 ,0009 1,.0166 1..0298 0,.9689 0,.9615 0,.0451

,775 o!.9958 1,.0163 1,.0172 0.,9676 0,.9610 0,.0454

,800 0..9972 1,.0171 1,.0244 0,,9664 0,.9606 0,.0456

,825 0,.9924 1,.0165 1,.0031 0.,9653 0,.9602 0,.0458

,850 0.,9944 1..0132 1,.0137 0.,9643 0..9598 0,.0460

,875 0,.9932 1,.0141 1,.0002 0,,9633 0,,9595 0,.0462

,900 0,.9943 1,.0155 0,.9807 0,,9625 0,,9591 0,.0463

.925 0..9944 1..0104 1,.0054 0,.9617 0.,9588 0,.0464

.950 0,.9951 1,.0111 1,.0053 0,,9610 0,,9584 0,.0466

.975 0,.9984 1,.0127 1.,0150 0,,9604 0,,9582 0,.0467

1..000 0,.9981 1..0107 1..0045 0,,9598 0,,9579 0,.0468

2..025 0..9970 1..0070 1,.0022 0,,9593 0.,9576 0,.0469

2..050 0..9993 1,.0088 1..0131 0,,9588 0.,9573 0,.0471

2,.075 1,.0016 1..0077 1,.0083 0,,9584 0.,9571 0,,0472

2,.100 1,.0010 1..0039 0..9991 0.,9580 0.,9568 0,,0473

2,.125 1,.0031 1..0056 0..9932 0.,9576 0.,9565 0,,0474

2,.150 1..0022 1..0023 1,.0096 0,,9573 0,,9563 0.,0475

2,.175 1,.0014 1..0025 0..9976 0,,9570 0,,9561 0,,0475

2 .200 1,.0038 1,.0059 1,.0055 0.,9567 0,,9559 0,,0476

2 .225 1,.0052 1,.0052 1..0020 0,,9565 0.,9557 0,,0477

2 .250 1,.0038 1,.0066 0.,9910 0,,9562 0.,9555 0.,0478

2,.275 1,.0039 1,.0038 0..9994 0.,9560 0.,9553 0,,0478

2 .300 1,.0031 1,.0020 1.,0063 0.,9558 0.,9551 0.,0479

2 .325 1,.0028 1,.0006 1,,0088 0..9556 0.,9549 0.,0480

2 .350 1 .0030 1,.0019 1,,0224 0,,9554 0. 9547 0.,0480

2 .375 1,.0016 1,.0037 1,,0125 0.,9552 0.,9546 0. 0481

2 .400 1 .0014 1,.0011 1,,0079 0..9551 0. 9544 0. 0482

2 .425 1,.0001 1,.0024 1,,0097 0.,9549 0. 9542 0. 0483

2 .450 0,.9990 1,.0027 0,,9997 0.,9547 0. 9541 0. 0483

2 .475 .9960 0,.9985 0,,9995 0. 9546 0. 9540 0. 0483

2 .500 0,.9987 0,.9983 1,,0078 0.,9544 0. 9538 0. 0484

2 .525 .9965 1,.0008 0.,9934 0.,9543 0. 9537 0. 0484

-188-
2 .550 .9968 .9977 0,,9945 0,,9541 0..9537 0,,0485 2 .575 .9965 1 .0002 1,,0038 0,,9540 0,.9536 0.,0485 2 .600 .9966 1 .0005 0,,9989 0,,9538 0,.9534 0.,0486 2 .625 .9963 1,.0013 1.,0018 0,,9537 0,.9533 0.,0486 2 .650 .9963 .9999 1.,0019 0,,9536 0,.9532 0.,0486 2 .675 0,.9955 .9998 1,,0087 0,,9534 0,.9531 0,,0487 2 .700 0,.9978 1 .0003 0,,9963 0.,9533 0,.9531 0.,0487 2 .725 0,.9970 1,.0019 1,,0029 0,,9532 0,.9530 0,,0487 2 .750 .9961 .9991 0.,9967 0..9531 0,.9529 0,,0488 2 .775 0,.9969 .9956 0,,9929 0,.9530 0,.9528 0,,0488

2,.800 0,,9973 1 .0015 0.,9978 0,.9529 0,.9527 0.,0488

2,.825 0,,9972 0,.9998 0,,9910 0,.9528 0,.9526 0.,0488

2,.850 0,,9973 1,,0032 0.,9954 0..9527 0..9526 0,,0488

2.,875 0.,9975 1,,0007 0.,9977 0,.9526 0,.9525 0.,0489

2,.900 0,,9976 1,,0023 0,,9997 0,.9526 0,.9525 0,,0489

2,.925 0.,9984 1,,0001 1,,0001 0..9525 0,.9524 0.,0489

2,.950 0.,9984 1,,0011 1,.0079 0,.9524 0..9523 0.,0489

2,,975 0,,9988 1,,0005 1..0162 0..9523 0..9523 0,,0490

3.,000 0,,9974 0,,9996 1,.0064 0,.9523 0,.9522 0,,0490

3.,025 0.,9980 1.,0002 1..0031 0,.9522 0,.9522 0.,0490

3.,050 0.,9993 1,,0018 1,.0075 0,.9521 0..9521 0.,0490

3,,075 1,,0001 1,,0012 0..9920 0,.9521 0..9521 0,,0491

3.,100 0,,9995 1.,0015 0,.9963 0,.9520 0..9520 0,,0491

3.,125 0.,9986 1.,0011 0..9921 0..9520 0,.9520 0.,0491

3.,150 1,,0012 0.,9999 0..9956 0,.9519 0..9519 0,,0491

3.,175 0.,9984 1,,0015 1,.0012 0..9519 0,.9519 0.,0491

3,,200 0,,9995 1.,0008 0..9936 0..9518 0..9518 0,,0491

3,,225 1,,0008 1.,0022 0..9893 0..9518 0..9518 0,,0491

3,,250 0,,9993 0,,9986 0,.9892 0..9518 0,.9517 0,,0491

3,,275 0,.9999 1,,0015 0,.9927 0,.9517 0,.9517 0,,0491

3,,300 1,.0002 0,,9987 0..9946 0,.9517 0,.9517 0,,0491

3,,325 0..9993 0.,9998 0,.9932 0,.9516 0..9516 0.,0492

3,,350 1,.0015 1.,0016 0,.9917 0,.9516 0,.9516 0,,0492

3,,375 0,.9992 0.,9994 0,.9975 0,.9516 0,,9516 0,,0492

3,,400 0..9986 1.,0010 0..9980 0.,9515 0,.9515 0,,0492

3,,425 1,.0007 0,,9991 0,.9904 0,.9515 0,.9515 0.,0492

3.,450 0..9984 0,,9992 0,.9963 0,.9515 0,.9515 0,,0492

3.,475 0,.9993 0,,9991 0,.9942 0,.9514 0,.9514 0,,0492

3,,500 1,.0008 0.,9988 0,.9980 0,.9514 0,.9514 0,,0492

3,,525 1..0001 0,,9982 1,.0016 0,.9514 0..9514 0,,0492

3.,550 1,.0015 0.,9990 0..9809 0,.9513 0,.9514 0,,0492

3,,575 1..0002 0,,9995 0,.9890 0,.9513 0,.9513 0,,0492

3,,600 0,.9994 1,,0018 0,.9961 0,.9513 0,.9513 0,,0492

3,,625 0..9999 0,,9999 0,.9953 0,.9513 0,.9513 0,,0492

3,,650 0..9992 1,,0002 0,.9969 0..9512 0,.9513 0,,0492

3,,675 1..0004 1,,0008 0,.9886 0,.9512 0,.9512 0,,0492

3,,700 0,.9991 1,,0015 0..9960 0..9512 0,.9512 0,,0493

3,,725 0,.9994 1,,0003 0..9984 0,.9512 0,.9512 0,,0493

3.,750 1,.0005 1,,0032 1,.0012 0,.9512 0,.9512 0,,0493

3.,775 0.,9984 1.,0032 0..9926 0..9511 0..9512 0,,0493

3,,800 1.,0003 1,,0005 0,.9972 0,.9511 0..9512 0,,0493

3,,825 1,,0009 1.,0011 0,,9992 0,.9511 0,.9512 0.,0493

3,,850 1,,0000 1,,0014 1,,0056 0..9511 0,,9511 0,,0493

3.,875 0,,9991 1,,0011 1,,0014 0,,9511 0..9511 0,,0493

3.,900 0,,9998 1,,0006 0,,9935 0,,9511 0,.9511 0,,0493

3,,925 0,,9994 1..0027 1,,0062 0,,9510 0,.9511 0,,0493

3,,950 0,,9997 1,,0016 0,,9997 0,,9510 0,,9511 0,.0493

3,.975 0,,9994 1..0001 1,,0030 0,,9510 0,,9510 .0494

4,.000 1.,0000 1,.0000 1,,0000 0,,9510 0,,9510 0,,0494

189
^22/^ir 2 .00 p*<. 0.081 x^=0. 0498 €22:Air 1- 00

R* Sll ^12 ^22 ^11 ^12 ^22

0.850 0,.0000 .0073 .0086 1.0000 1.0000 0,.0076

0.875 0,.0673 .0528 .0626 1.0000 1.0000 0,.0629

0.900 0,.1781 .2027 .2308 1.0000 1.0000 0,.2316

0.925 0,.5177 .4764 0,.5430 1.0000 1.0000 0,.4678

0.950 0,.9703 .8388 .9284 1.0000 1.0000 .6541

0.975 1,.2192 1 .2175 1,.2938 1.0000 1.0000 0,.7672

1.000 1,.4063 1 .5073 1,.5695 1.0000 1.0000 .8322

1.025 1.,6768 1 .7340 1,.7362 1.0000 1.0000 0,.8706

1.050 1.,9437 1,.8200 1,.8089 1.0000 1.0000 0,.8944

1.075 1,.8900 1,.8553 1,.8040 1.0000 1.0000 0,.9099

1.100 1.,9157 1,.8419 1,.7595 1.0000 0.9996 0,.9204

1.125 2,,0635 1,.7974 1,,6857 1.0000 0.9962 0,.9279

1.150 1,,7722 1,.7332 1,.5993 1.0000 0.9754 0,.9333

1.175 1.,7872 1,.6606 1,.5123 1.0000 0.9068 0,,9373

1.200 1,,7099 1,.5897 1,.4294 1.0000 0.7684 0,.9403

1.225 1.,8022 1..5192 1,.3494 1.0000 0.5901 0..9426

1.250 1,,5000 1..4501 1.,2773 0.9994 0.4291 0,.9444

1.275 1,,7523 1,.3829 1,.2122 0.9950 0.3116 0.,9458

1.300 1,,5454 1,.3268 1,.1527 0.9775 0.2328 0,,9470

1.325 1,,3321 1,.2619 1..1025 0.9269 0.1809 0,,9478

1.350 1,,3765 1,,2130 1,,0566 0.8257 0.1462 0,.9485

1.375 1,,4277 1..1773 1,,0165 0.6852 0.1224 0,,9490

1.400 1.,3325 1,.1455 0.,9837 0.5389 0.1056 0,,9493

1.425 1.,2075 1,.1061 0.,9544 0.4127 0.0934 0..9496

1.450 1.,2495 1.,0774 0,,9305 0.3161 0.0844 0..9497

1.475 1,,1460 1,.0458 0,,9093 0.2467 0.0775 0,.9498

1.500 1.,1493 1.,0257 0,,8931 0.1978 0.0721 0,,9499

1.525 1.,1097 0,,9995 0.,8814 0.1629 0.0679 0,,9498

1.550 1.,0892 0.,9790 0,,8697 0.1376 0.0646 0,.9497

1.575 1.,1401 0,.9656 0,,8638 0.1193 0.0619 0.,9496

1.600 0.,9860 0.,9446 0,,8606 0.1055 0.0597 0,,9494

1.625 1.,0339 0.,9345 0,,8580 0.0948 0.0579 0,.9493

1.650 1,,1182 0.,9219 0,,8584 0.0867 0.0564 0,,9490

1.675 1.,1016 0.,9135 0,,8621 0.0804 0.0552 0,.9488

1.700 0,,9803 0..9048 0,,8684 0.0752 0.0542 0,.9486

1.725 1,,0802 0..8890 0,,8775 0.0710 0.0533 0,,9483

1.750 0.,9991 0..8900 0.,8891 0.0676 0.0526 0,,9481

1.775 0,,9205 0.,8833 0,,9007 0.0646 0.0520 0.,9479

1.800 1.,0255 0,,8858 0.,9171 0.0621 0.0515 0,,9477

1.825 0,,9496 0,.8876 0,,9316 0.0600 0.0511 0,,9475

1.850 0,,9934 0,.8832 0,,9499 0.0583 0.0508 0.,9474

1.875 0.,8748 0..8830 0,,9674 0.0567 0.0506 0,,9473

1.900 0.,9347 0,.8930 0,,9853 0.0554 0.0504 0,,9473

1.925 0,,9467 0,,8880 1.,0016 0.0542 0.0503 0.,9473

1.950 0,,9266 0.,8920 1,,0182 0.0533 0.0502 0.,9474

1.975 0,,9218 0,,8990 1,,0325 0.0525 0.0502 0,,9475

2.000 0,,8796 0.,8984 1,,0434 0.0517 0.0501 0,,9476

2.025 0,,9472 0..9106 1,,0533 0.0511 0.0502 0,,9477

2.050 0.,9291 0..9157 1.,0589 0.0506 0.0502 0.,9478

2.075 0.,9069 0,,9284 1.,0635 0.0502 0.0503 0.,9480

2.100 0,,8714 0,.9352 1.,0640 0.0497 0.0504 0.,9482

2.125 0,,8738 0,.9495 1,,0642 0.0493 0.0505 0.,9484

2.150 0.,9038 0..9537 1.,0607 0.0490 0.0506 0.,9485

2.175 0,,8526 0,.9675 1,,0567 0.0487 0.0508 0.,9487

2.200 0,.8280 0,.9796 1.,0519 0.0484 0.0510 0.,9488

2.225 0..8730 0,.9914 1.,0468 0.0482 0.0511 0.,9490

2.250 0,.8720 1..0007 1.,0398 0.0480 0.0513 0.,9491

2.275 0,.8490 1..0114 1,,0331 0.0478 0.0515 0. 9492

2.300 0,,8823 1,.0221 1.,0266 0.0477 0.0517 0. 9493

2.325 0.,8596 1,.0282 1.,0188 0.0476 0.0519 0. 9494

2.350 0..8945 1..0405 1.,0143 0.0475 0.0520 0. 9495

2.375 0..8658 1.,0418 1.,0070 0.0474 0.0522 0. 9495

2.400 0,.8809 1.,0442 1..0017 0.0474 0.0523 0. 9496

2.425 0,.9312 1,.0501 0.,9969 0.0474 0.0524 • 0. 9496

2.450 0.,9148 1,,0483 0,,9920 0.0475 0.0525 0. 9497

2.475 0,.9301 1,,0460 0.,9884 0.0475 0.0526 0. 9497

2.500 0,.9462 1,,0518 0.,9844 0.0476 0.0527 0. 9497

2.525 0,.9615 1,.0481 0.,9822 0.0477 0.0527 0. 9497

-190
2 .550 .9308 1 .0487 .9812 0478 .0527 9497 2 .575 .9214 1 .0476 .9801 0479 .0527 9497 2 .600 .9053 1 .0478 .9785 0480 .0526 9497 2 .625 .9502 1 .0440 .9783 0481 .0526 9497 2 .650 .9382 1 .0401 .9791 0482 .0525 9497 2 .675 .9719 1 .0381 9799 0483 .0524 9497 2 .700 .9596 1 .0277 9815 0485 0523 9497 2 .725 .9539 1 .0291 9828 0486 0522 9497 2 .750 .9870 1 0200 9848 0487 0521 9496 2 .775 .9847 1 0154 9874 0489 0519 9496 2 .800 .9810 1 0120 9899 0490 0518 9496 2 .825 9999 1 0083 9923 0492 0517 9496 2 .850 9659 1 0125 9947 0493 0516 9496 2 .875 9473 1 0016 9965 0494 0514 9496 2 900 9886 1 0008 9994 0495 0513 9496 2 925 1 0434 9917 1 0019 0497 0512 9496 2 950 1 0069 9937 1 0042 0499 0511 9496 2 975 9906 9917 1 0045 0500 0510 9496 3 000 9805 9879 1 0065 0501 0509 9497 3 025 1 0257 9855 1 0077 0502 0508 9497 3 050 1 0189 9873 1 0088 0503 0507 9497 3 075 1 0324 9853 1 0093 0504 0507 9497 3 100 1 0297 9780 1 0091 0506 0506 9498 3 125 1 0328 9809 1 0098 0507 0505 9498 3 150 9776 9798 1 0096 0507 0505 9498 3 175 1 0614 9839 1 0087 0508 0504 9498 3 200 1 0640 9816 1 0075 0509 0504 9498 3 225 1 0485 9822 1 0074 0510 0504 9499 3 250 1 0500 9815 1 0065 0511 0503 9499 3 275 1 0653 9866 1 0047 0511 0503 9499 3 300 1 0847 9837 1 0046 0512 0503 9499 3 325 1 0605 9917 1 0035 0513 0503 9499 3 350 1 0470 9893 1 0023 0513 0503 9499 3 375 1 0117 9870 1 0020 0513 0503 9499 3 400 1 0267 9938 1 0006 0513 0503 9499 3 425 1 0790 9930 1 0003 0513 0503 9499 3 450 1 0218 9920 9991 0513 0503 9499 3 475 1 0306 9938 9990 0513 0503 9499 3 500 1 0568 9957 9983 0513 0503 9499 3 525 1 0402 9985 9979 0512 0503 9500 3 550 1 0248 9970 9977 0512 0503 9500 3 575 1 0592 1 0009 9967 0512 0503 9500 3 600 1 0358 1 0024 9963 0511 0503 9500 3 625 1 0294 1 0040 9966 0511 0503 9500 3 650 1 0541 1 0067 9963 0511 0504 9500 3 675 1 0016 1 0058 9965 0510 0504 9500 3 700 1 0118 1 0041 9973 0509 0504 9500 3 725 1 0447 1 0070 9972 0509 0504 9500 3 750 1 0129 1 0086 9981 0509 0504 9500 3 775 1 0284 1 0075 9983 0508 0504 9500 3 800 1 0021 1 0073 9989 0508 0504 9500 3 825 9676 1 0081 9996 0507 0504 9500 3 850 1 0026 1 0062 1 0004 0506 0504 9500 3 875 1 0076 1 0077 9999 0505 0504 9500 3 900 9954 1 0062 1 0005 0505 0504 9500 3 925 9965 1 0074 1 0003 0504 0504 9500 3 950 9918 1 0064 1 0012 0504 0504 9500 3 975 9963 1 0043 1 0011 0503 0503 9500 4 000 1 0000 1 0000 1 0000 0503 0503 9500

191-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . ^22/^11== 2.00 p-k= 0.084 x^-O. 0999 ^22:/hr 1- 00

R* Hi ^12 §22 ^11 ^12 ^22

0.850 0.0077 .0070 0.0082 1.0000 1.0000 .0036

0.875 0.0525 .0519 0.0621 1.0000 1.0000 .0306

0.900 0.2052 .1973 0.2293 1.0000 1.0000 .1250

0.925 0.4590 .4749 0.5351 1 . 0000 1.0000 .2933

0.950 0.8864 .8462 0.9209 1.0000 1.0000 .4716

0.975 1.2441 1 .1963 1.2843 1.0000 1.0000 .6089

1.000 1.5866 1 .4908 1.5608 1.0000 1.0000 .7009

1.025 1.7597 1 .6825 1.7258 1.0000 1.0000 .7607

1.050 1.9734 1 .8007 1.7958 1.0000 1.0000 .8000

1.075 1.9715 1 .8371 1.7939 1.0000 1.0000 .8266

1.100 2.0185 1 .8265 1.7456 1.0000 0.9997 .8451

1.125 2.0320 1 .7820 1.6741 1.0000 0.9981 .8584

1.150 1.9353 1 .7216 1.5971 1.0000 0.9884 .8683

1.175 1.8716 1 .6552 1.5109 1.0000 0.9538 .8757

1.200 1.7503 1,.5703 1.4267 1.0000 0.8750 .8813

1.225 1.7584 1 .5073 1.3442 1.0000 0.7528 .8857

1.250 1.6895 1,.4364 1.2724 0.9997 0.6144 .8890

1.275 1.6163 1,.3854 1.2112 0.9978 0.4894 .8916

1.300 1.5904 1,.3187 1.1513 0.9897 0.3911 0,.8937

1.325 1.5354 1,.2675 1.1031 0.9658 0.3185 0,.8953

1.350 1.4166 1,.2237 1.0589 0.9140 0.2660 0,.8966

1.375 1.3898 1,.1817 1.0208 0.8293 0.2279 0,.8975

1.400 1.3230 1,.1398 0.9884 0.7202 0.2000 0,.8982

1.425 1.3445 1,.1094 0.9590 0.6058 0.1792 0,.8988

1.450 1.2253 1,.0748 0.9348 0.5029 0.1633 0,.8991

1.475 1.2477 1,.0520 0.9147 0.4184 0.1511 0,.8993

1.500 1.2338 1,.0254 0.8987 0.3523 0.1416 0,.8993

1.525 1.2018 1,.0072 0.8861 0.3014 0.1339 0,.8993

1.550 1.1787 0,.9849 0.8769 0.2623 0.1278 0,,8992

1.575 1.1411 0..9634 0.8709 0.2320 0.1228 0,,8990

1.600 1.0913 0,.9495 0.8646 0.2082 0.1187 0,,8987

1.625 1.0994 0,.9371 0.8643 0.1895 0.1153 0,,8984

1.650 1.0987 0,.9287 0.8648 0.1746 0.1126 0.,8980

1.675 1.0137 0,,9173 0.8681 0.1625 0.1103 0.,8976

1.700 1.0281 0..9118 0.8735 0.1526 0.1084 0.,8971

1.725 1.0263 0,,9017 0.8810 0.1445 0.1068 0,,8967

1.750 1.0004 0,,9001 0.8909 0.1377 0.1054 0.,8963

1.775 1.0189 0.,8907 0.9034 0.1320 0.1044 0.,8959

1.800 0.9680 0,,8870 0.9179 0.1273 0.1034 0,,8955

1.825 0.9692 0,,8887 0.9345 0.1232 0.1027 0.,8953

1.850 0.9855 0,,8848 0.9498 0.1197 0.1021 0.,8951

1.875 0.9816 0,,8852 0.9671 0.1168 0.1016 0.,8949

1.900 0.9550 0.,8875. 0.9861 0.1143 0.1012 0. 8949

1.925 0.9337 0,,8932 1.0012 0.1120 0.1010 0. 8949

1.950 0.9396 0,,8954 1.0165 0.1100 0.1008 0.,8950

1.975 0.9468 0.,8989 1.0294 0.1083 0.1007 0. 8952

2.000 0.9579 0.,9035 1.0412 0.1069 0.1007 0. 8954

2.025 0.9499 0.,9078 1.0507 0.1057 0.1007 0. 8957

2.050 0.9654 0,,9177 1.0560 0.1047 0.1007 0. 8960

2.075 0.9316 0.,9305 1.0609 0.1038 0.1009 0. 8963

2.100 0.9182 0.,9372 1.0614 0.1029 0.1010 0. 8966

2.125 0.9313 0.,9453 1.0619 0.1022 0.1012 0. 8969

2.150 0.9170 0.,9549 1.0578 0.1016 0.1015 0. 8972

2.175 0.9149 0.,9682 1.0559 0.1010 0.1017 0. 8975

2.200 0.9111 0.,9796 1.0510 0.1005 0.1020 0. 8977

2.225 0.9195 0.,9904 1.0453 0.1001 0.1023 0. 8980

2.250 0.9078 1.,0001 1.0393 0.0998 0.1027 0. 8982

2.275 0.9076 1.,0101 1.0322 0.0995 0.1030 0. 8984

2.300 0.9213 1.,0147 1.0261 0.0992 0.1033 0. 8986

2.325 0.9346 1. 0252 1.0201 0.0991 0.1036 0. 8987

2.350 0.9112 1.,0323 1.0146 0.0989 0.1039 0. 8989

2.375 0.9032 1. 0405 1.0081 0.0988 0.1042 0. 8990

2.400 0.9038 1. 0399 1.0017 0.0987 0.1045 0. 8991

2.425 0.9261 1.,0455 0.9969 0.0986 0.1047 0. 8992

2.450 0.9324 1. 0475 0.9931 0.0987 0.1048 0. 8992

2.475 0.9371 1. 0477 0.9891 0.0987 0.1050 0. 8992

2.500 0.9239 1. 0436 0.9847 0.0987 0.1051 0. 8993

2.525 0.9335 1. 0470 0.9839 0.0988 0.1051 0. 8993

192
2 .550 .9290 1 .0436 .9814 .0989 .1051 .8993

2 .575 .9075 1 .0432 .9803 .0989 .1051 .8993

2 .600 .9548 1 .0365 .9800 .0990 .1050 .8993

2 .625 .9531 1 .0345 .9796 .0992 .1049 .8992

2 .650 .9646 1 .0320 .9811 .0994 .1047 .8992

2 .675 .9516 1 .0279 .9814 .0995 .1045 .8992

2 .700 .9854 1 .0235 .9831 .0997 0..1043 .8992

2 .725 .9612 1 .0184 .9836 .1000 0,.1041 .8992

2 .750 .9620 1 .0171 .9858 .1001 0..1039 .8991

2 .775 1 .0163 1 .0139 .9881 .1004 0.,1037 0,.8991

2 .800 .9689 1,.0087 .9895 0,.1006 0.,1034 0..8991

2 .825 .9753 1 .0095 .9933 0,.1008 0,,1032 0,.8991

2 .850 .9754 1 .0067 .9948 0,,1010 0.,1030 0..8991

2 .875 .9965 1,.0040 .9967 0,.1012 0,,1028 0..8991

2 .900 .9854 1,.0030 .9998 0,,1014 0,,1025 0..8991

2 .925 0,.9902 0,.9958 1,.0022 0,,1016 0.,1023 0,.8991

2 .950 1,.0130 0..9944 1,.0032 0.,1018 0.,1021 0,.8991

2,.975 1,.0321 0,.9933 1,.0056 0.,1020 0,,1020 0,.8992

3 .000 1,.0049 0.,9940 1,.0070 0,,1022 0,,1018 0,.8992

3,.025 1,.0296 0,,9892 1,,0080 0.,1024 0,,1017 0.,8992

3,.050 1..0216 0,,9860 1,,0089 0,,1027 0,,1015 0.,8993

3,.075 1,.0370 0.,9874 1..0089 0.,1028 0,,1014 0,,8993

3,,100 1.,0220 0.,9853 1,.0095 0,,1030 0,,1013 0,,8994

3,.125 1.,0299 0,,9871 1,,0097 0,,1032 0,,1012 0,,8994

3,.150 1,,0403 0.,9886 1,,0081 0.,1033 0.,1011 0.,8994

3,.175 1,,0361 0,,9844 1.,0087 0,,1034 0.,1010 0,,8995

3,.200 1,,0554 0.,9837 1,,0080 0,,1036 0,,1009 0.,8995

3,.225 1.,0437 0.,9857 1,,0068 0.,1037 0,.1009 0.,8995

3,.250 1,,0287 0,,9859 1.,0061 0,,1038 0.,1008 0,,8996

3,.275 1.,0436 0,,9891 1,,0055 0,,1038 0,,1008 0.,8996

3,,300 1,,0521 0,,9869 1,,0047 0.,1039 0,.1008 0,,8996

3,,325 1,,0213 0.,9884 1.,0036 0.,1039 0..1007 0.,8996

3,,350 1.,0472 0,.9880 1,,0029 0.,1039 0,.1007 0,,8997

3,,375 1.,0370 0..9884 1,,0018 0,,1039 0,.1007 0,,8997

3.,400 1,,0337 0..9928 1.,0013 0.,1039 0,.1007 0,,8997

3.,425 1,,0235 0..9950 0,,9999 0,.1038 0,.1007 0.,8997

3,,450 1.,0235 0..9920 0.,9990 0..1038 0,.1007 0,,8997

3,,475 1,,0411 0..9967 0.,9988 0,.1037 0..1007 0,,8997

3,,500 1.,0441 0,.9965 0,,9979 0..1036 0,.1008 0,,8997

3,,525 1,,0405 0..9989 0..9974 0..1036 0..1008 0,,8997

3,,550 1,,0185 .0005 0.,9985 0,.1035 0,.1008 0,,8997

3,,575 1.,0220 .0019 0,,9976 0..1034 0. 1008 0,.8997

3,,600 1,,0088 .0023 0,,9979 0..1032 0..1008 0..8997

3.,625 1,,0146 .0039 0.,9975 0..1031 0..1008 0,.8997

3,,650 0.,9984 .0040 0..9977 0..1030 0. 1009 0,.8997

3,,675 0..9949 ,0031 0,.9972 0. 1028 0. 1009 0..8997

3,,700 1..0182 .0042 0..9981 0..1027 0. 1009 0..8997

3,,725 1..0082 ,0052 0..9977 0. 1025 0. 1009 0..8998

3.,750 0..9909 ,0062 0..9980 0.,1024 0. 1009 0..8998

3.,775 0..9915 .0054 0..9991 0. 1023 0. 1009 0..8998

3.,800 0..9918 .0055 0..9989 0.,1021 0. 1009 0..8998

3.,825 1.,0186 ,0060 0,.9995 0. 1020 0. 1009 0..8998

3,,850 0.,9975 0078 1..0002 0. 1019 0. 1009 0. 8998

3,,875 0,.9807 0042 1..0001 0. 1018 0. 1009 0. 8998

3,,900 0..9820 ,0070 0..9999 0. 1016 0. 1009 0,.8998

3.,925 1..0030 ,0061 1..0010 0. 1015 0. 1009 0..8998

3,,950 0.,9980 0087 1..0011 0. 1014 0. 1008 0. 8998

3.,975 0..9917 ,0043 1..0015 0. 1013 0. 1008 0..8998

4,,000 1..0000 0000 1..0000 0. 1012 0. 1008 0. 8998

-193-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-3 . '^22/^^11= 2 .00 p*= 0.094 x^=0. 2500 -e^.:/^ir ^• 00

R* Sll ^12 §22 ^11 ^12 ^22

0.850 .0049 .0065 0.0081 1.0000 1.0000 .0012

0.875 .0527 .0496 0.0586 1.0000 1.0000 .0101

0.900 .1954 .1924 0.2185 1.0000 1.0000 .0440

0.925 .4624 .4628 0.5125 1.0000 1.0000 .1184

0.950 .8029 .8128 0.8785 1.0000 1.0000 .2239

0.975 1 .1395 1 .1693 1.2300 1.0000 1.0000 .3345

1.000 1 .4730 1 .4598 1.5015 1.0000 1.0000 .4309

1.025 1 .7203 1 .6500 1.6647 1.0000 1.0000 .5069

1.050 1,.8068 1,.7652 1.7381 1.0000 1.0000 .5643

1.075 1 .8944 1,.7977 1.7432 1.0000 1.0000 .6070

1.100 1 .8950 1 .7849 1.7003 1.0000 0.9999 .6390

1.125 1,.8548 1,.7585 1.6392 1.0000 0.9994 .6632

1.150 1,,8301 1,.6963 1.5623 1.0000 0.9962 .6817

1.175 1,.7540 1,,6254 1.4829 1.0000 0.9846 .6959

1.200 1,,6994 1,,5549 1.4007 1.0000 0.9560 .7070

1.225 1,.6263 1,.4906 1.3333 1.0000 0.9040 .7158

1.250 1..5919 1,,4369 1.2650 0.9999 0.8312 .7227

1.275 1,,5260 1,,3687 1.2091 0.9992 0.7479 .7282

1.300 1,.4648 1,,3190 1.1508 0.9965 0.6655 .7325

1.325 1,.4202 1,,2682 1.1079 0.9881 0.5913 .7360

1.350 1,.3943 1,,2199 1.0656 0.9688 0.5285 .7387

1.375 1,,3246 1.,1799 1.0266 0.9339 0.4772 .7408

1.400 1,.2948 1,,1403 0.9986 0.8823 0.4357 .7424

1.425 1,.2497 1,,1112 0.9740 0.8182 0.4025 .7436

1.450 1,.2358 1,,0785 0.9548 0.7480 0.3758 .7445

1.475 1,.1790 1,,0559 0.9339 0.6782 0.3543 0,.7451

1.500 1,.1821 1.,0314 0.9195 0.6139 0.3368 .7454

1.525 1,.1466 1,,0142 0.9106 0.5574 0.3225 0,.7456

1.550 1,.1244 0,,9984 0.9020 0.5091 0.3107 0,.7455

1.575 1,.0983 0,,9798 0.8956 0.4683 0.3010 0,,7454

1.600 1,.0858 0,,9629 0.8885 0.4342 0.2930 0,,7451

1.625 1,.0691 0.,9527 0.8886 0.4059 0.2862 0,,7447

1.650 1,.0694 0,,9446 0.8879 0.3823 0.2806 0,,7442

1.675 1..0259 0,,9328 0.8895 0.3625 0.2758 0,,7437

1.700 1..0263 0.,9274 0.8941 0.3456 0.2718 0,,7430

1.725 1,,0225 0,,9199 0.9011 0.3314 0.2685 0,,7424

1.750 1..0067 0.,9142 0.9065 0.3194 0.2657 0,,7418

1.775 1..0028 0,,9105 0.9173 0.3092 0.2633 0,,7413

1.800 1,.0015 0,,9068 0.9269 0.3005 0.2613 0,,7408

1.825 0,,9767 0..9063 0.9392 0.2930 0.2597 0,,7404

1.850 0,.9685 0..9040 0.9518 0.2865 0.2584 0,,7400

1.875 0,.9706 0,.9041 0.9675 0.2808 0.2573 0,,7398

1.900 0..9421 0,.9038 0.9795 0.2758 0.2564 0,,7398

1.925 0,.9480 0..9092 0.9947 0.2714 0.2557 0.,7398

1.950 0,.9487 0..9126 1.0083 0.2677 0.2552 0.,7399

1.975 0,.9328 0..9138 1.0184 0.2643 0.2548 0.,7402

2.000 0,.9367 0,.9169 1.0302 0.2614 0.2546 0,,7405

2.025 0,.9140 0..9247 1.0367 0.2589 0.2545 0,,7409

2.050 0,.9388 0,.9290 1.0424 0.2567 0.2544 0,,7414

2.075 0,.9197 0,.9373 1.0473 0.2548 0.2545 0.,7419

2.100 0,,9148 0,.9373 1.0489 0.2531 0.2546 0.,7424

2.125 0,,9166 0,.9498 1.0485 0.2516 0.2548 0.,7430

2.150 0,,9136 0,.9590 1.0488 0.2503 0.2551 0.,7435

2.175 0,,9175 0,.9612 1.0455 0.2492 0.2554 0.,7440

2.200 0,,9106 0,,9767 1.0416 0.2483 0.2558 0.,7445

2.225 0,,8960 0,.9842 1.0359 0.2474 0.2562 0.,7450

2.250 0,,8927 0,,9935 1.0312 0.2466 0.2567 0. 7454

2.275 0,,8955 0.,9989 1.0276 0.2460 0.2571 0. 7457

2.300 0,,9024 1,,0098 1.0220 0.2454 0.2576 0. 7461

2.325 0.,8973 1.,0153 1.0170 0.2450 0.2580 0. 7464

2.350 0,,9230 1.,0193 1.0148 0.2446 0.2585 0. 7467

2.375 0.,9207 1.,0273 1.0089 0.2445 0.2589 0. 7469

2.400 0.,9045 1.,0285 1.0048 0.2443 0.2592 0. 7471

2.425 0.,9200 1.,0335 0.9996 0.2442 0.2595 0. 7473

2.450 0..9181 1.,0360 0.9971 0.2442 0.2598 0. 7474

2.475 0.,9122 1.,0366 0.9931 0.2442 0.2600 0. 7475

2.500 0,,9254 1.,0372 0.9911 0.2442 0.2602 0. 7476

2.525 0,.9386 1.,0387 0.9908 . 2444 0.2602 0. 7477

-194-
2 .550 .9225 1 .0378 .9881 .2445 .2602 .7477

2 .575 .9465 1 .0382 .9878 .2447 .2602 .7478

2 .600 .9299 1 .0355 .9866 .2449 .2601 .7478

2 .625 .9446 1 .0318 .9870 .2452 .2599 .7478

2 .650 .9492 1 .0286 .9880 .2455 .2596 .7478

2 .675 .9546 1 .0291 .9879 .2458 2594 7478

2 .700 .9373 1 .0281 .9886 .2461 .2591 7478

2 .725 .9635 1 .0210 .9901 .2465 2587 7478

2 .750 .9672 1 .0206 .9911 .2468 2583 7478

2 .775 .9718 1 .0174 .9914 .2473 2580 7478

2 .800 .9752 1 .0135 .9933 .2477 2576 7478

2 .825 .9731 1 .0124 .9947 .2481 2572 7478

2 .850 .9883 1 .0073 .9975 .2485 2568 7479

2 .875 .9913 1 0043 9988 2490 2564 7479

2 .900 .9985 1 .0036 1 0008 2494 2560 7479

2 .925 1 .0030 9991 1 0016 2499 2556 7480

2 .950 1 0070 9982 1 0031 2503 2553 7480

2 .975 9990 9975 1 0039 2507 2549 7481

3 000 1 0103 9973 1 0045 2511 2546 7481

3 025 1 0087 9940 1 0048 2515 2544 7482

3 050 1 0149 9928 1 0055 2519 2541 7483

3 075 1 0219 9910 1 0061 2523 2538 7483

3 100 1 0296 9891 1 0054 2527 2536 7484

3 125 1 0325 9887 1 0064 2530 2534 7485

3 150 1 0318 9898 1 0065 2534 2532 7485

3 175 1 0319 9879 1 0057 2537 2530 7486

3 200 1 0316 9882 1 0064 2540 2529 7487

3 225 1 0251 9889 1 0051 2542 2528 7487

3 250 1 0305 9897 1 0055 2544 2527 7488

3 275 1 0291 9894 1 0047 2546 2526 7488

3 300 1 0324 9910 1 0042 2548 2525 7489

3 325 1 0335 9900 1 0042 2549 2524 7489

3 350 1 0289 9903 1 0028 2550 2524 7489

3 375 1 0328 9930 1 0016 2551 2523 7490

3 400 1 0384 9937 1 0013 2551 2523 7490

3 425 1 0319 9945 1 0006 2551 2523 7490

3 450 1 0318 9950 1 0012 2551 2522 7491

3 475 1 0279 9956 1 0000 2551 2522 7491

3 500 1 0210 9951 1 0002 2550 2522 7491

3 525 1 0250 9965 9989 2549 2522 7491

3 550 1 0119 9991 9990 2548 2522 7491

3 575 1 0223 9982 9995 2547 2522 7491

3 600 1 0120 1 0020 9988 2545 2522 7492

3 625 1 0156 9996 9995 2544 2522 7492

3 650 1 0074 1 0005 9994 2542 2522 7492

3 675 1 0148 1 0029 9997 2540 2522 0. 7492

3 700 1 0203 1 0025 9993 2538 2522 7492

3 725 1 0146 1 0018 9998 2537 2522 7492

3 750 1 0012 1 0029 0010 2535 2522 7492

3 775 1 0046 1 0032 0019 2533 2521 0. 7493

3 800 1 0068 1 0037 0004 2531 0. 2521 7493

3 825 1 0010 1 0040 0007 2529 0. 2521 0. 7493

3 850 1 0013 1 0017 0003 2527 0. 2521 0. 7493

3 875 9992 1 0038 0011 2525 2521 0. 7493

3 900 1 0014 1 0035 0007 2524 0. 2520 0. 7494

3 925 9914 1 0036 0016 2522 2520 0. 7494

3 950 9956 1 0033 0012 2520 0. 2519 0. 7494

3 975 1 0040 1 0042 0023 2519 0. 2519 0. 7494

4 000 1 0000 1 0000 0000 0. 2517 0. 2519 0. 7494

-195
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . o

>2/^ir 2 .00 p*= 0.117 X = 0. 5000 £^2,/6.11=^- 00

R* Sll ^12 §22 ^11 ^12 ^22

.850 0,.0053 .0063 .0073 1.0000 1 .0000 0.0004

.875 0,.0481 .0466 .0538 1.0000 1 .0000 0.0032

0,.900 0,.1762 0..1796 .1970 1.0000 1,.0000 0.0144

.925 0,,4268 0,.4302 .4600 1.0000 1 .0000 0.0404

.950 0,,7613 0,.7655 .8016 1.0000 1 .0000 0.0832

0,.975 1,,1301 1,.1060 1 .1331 1.0000 1 .0000 0.1372

1,.000 1,,3977 1,,3848 1 .3913 1.0000 1 .0000 0.1940

1,.025 1.,5927 1,,5719 1 .5452 1.0000 1 .0000 0.2466

1,.050 1,,7485 1,,6780 1 .6243 1.0000 1 .0000 0.2921

1,.075 1,,7626 1,,7168 1 .6355 1.0000 1 .0000 0.3301

1,.100 1,,7949 1,,7124 1 .6055 1.0000 1,.0000 0.3611

1,.125 1.,7826 1,,6751 1 .5596 1.0000 .9998 0.3862

1..150 1,,7386 1,,6274 1,.4944 1.0000 .9988 0.4065

1..175 1,,6756 1,,5657 1 .4240 1.0000 .9950 0.4228

1..200 1,,6117 1.,5062 1 .3595 1.0000 .9856 0.4359

1..225 1,,5553 1,,4458 1,.2999 1.0000 .9677 0.4466

1,,250 1.,4976 1.,3845 1,.2408 1.0000 0,.9401 0.4552

1..275 1.,4643 1,,3321 1,.1874 0.9998 0,.9040 0.4621

1,.300 1,,4173 1.,2852 1,.1421 0.9988 0,.8628 0.4677

1,.325 1,,3538 1.,2392 1,.0996 0.9961 0,.8200 0.4721

1,.350 1.,3343 1,,2038 1,.0675 0.9895 0,.7789 0.4758

1,.375 1.,2803 1.,1652 1,.0405 0.9774 0,.7413 0.4787

1..400 1.,2628 1,,1360 1,.0181 0.9584 0,.7079 0.4812

1,,425 1.,2281 1,,1039 0,.9955 0.9324 0,,6787 0.4830

1,,450 1.,1987 1,,0818 0,.9814 0.9008 0,,6536 0.4846

1,,475 1,,1666 1,,0630 0,,9676 0.8656 0,.6322 0.4858

1.,500 1.,1478 1.,0388 0,,9596 0.8291 0,.6138 0.4868

1.,525 1.,1184 1.,0199 0,,9499 0.7933 0..5982 0.4876

1,,550 1.,1096 1,,0102 0,,9459 0.7596 0,,5849 0.4883

1,,575 1.,0860 0.,9961 0,.9397 0.7285 0,.5737 0.4887

1,,600 1.,0707 0,,9861 0,.9369 0.7005 0,,5641 0.4890

1,,625 1.,0607 0.,9789 0.,9332 0.6756 0,,5559 0.4892

1.,650 1.,0364 0,,9702 0.,9298 0.6535 0,.5489 0.4892

1.,675 1.,0250 0,,9592 0,,9313 0.6339 0,,5429 0.4891

1.,700 1.,0222 0,,9597 0.,9322 0.6169 0,,5379 0.4890

1,,725 1,,0091 0,,9557 0,,9336 0.6019 0,,5336 0.4887

1.,750 0,,9953 0.,9507 0.,9360 0.5887 0,,5300 0.4885

1,,775 0,,9917 0.,9454 0,,9401 0.5772 0,,5269 0.4882

1,,800 0,,9849 0.,9408 0.,9455 0.5671 0,,5242 0.4880

1,,825 0.,9817 0,,9390 0,,9535 0.5582 0,,5219 0.4877

1,,850 0,,9714 0.,9377 0.,9581 0.5504 0,,5200 0.4876

1,,875 0,,9623 0,,9399 0,,9687 0.5435 0.,5183 0.4875

1.,900 0.,9573 0.,9400 0.,9768 0.5375 0.,5170 0.4876

1,,925 0,,9543 0,,9388 0,,9875 0.5321 0.,5158 0.4877

1,.950 0,,9608 0.,9370 0,,9975 0.5274 0,,5148 0.4879

1..975 0,,9546 0.,9396 1,,0037 0.5234 0.,5139 0.4882

2..000 0,,9414 0,,9394 1.,0099 0.5197 0.,5132 0.4885

2..025 0.,9515 0.,9431 1,,0173 0.5165 0,,5125 0.4890

2,.050 0.,9530 0.,9436 1,,0229 0.5137 0,,5120 0.4894

2..075 0,,9406 0.,9482 1,,0262 0.5112 0.,5116 0.4899

2,.100 0,,9439 0,,9494 1.,0287 0.5090 0.,5113 0.4905

2..125 0,,9386 0.,9581 1.,0295 0.5071 0.,5110 0.4910

2 .150 0.,9355 0,,9624 1.,0294 0.5055 0.,5109 0.4915

2 .175 0,,9323 0,,9697 1,,0306 0.5040 0. 5108 0.4920

2,.200 0,,9403 0.,9754 1,,0246 0.5027 0.,5108 0.4925

2,.225 0,,9280 0,,9817 1.,0230 0.5015 0,,5108 0.4930

2 .250 0,,9397 0.,9876 1.,0229 0.5005 0.,5109 0.4934

2 .275 0,,9377 0,,9948 1.,0189 0.4998 0.,5111 0.4938

2 .300 0,,9323 ,0009 1.,0160 0.4991 0.,5113 0.4942

2 .325 0,,9299 ,0033 1.,0130 0.4985 0. 5115 0.4945

2,.350 0.,9356 ,0045 1.,0113 0.4979 0. 5117 0.4948

2 .375 0,.9269 ,0107 1,,0075 0.4975 0. 5119 0.4951

2 .400 0,.9359 ,0157 1,,0031 0.4971 0. 5120 0.4953

2 .425 0,,9393 ,0180 1.,0031 0.4969 0. 5122 0.4955

2 .450 0,,9339 ,0183 1.,0017 0.4966 0. 5123 0.4957

2 .475 0,,9390 ,0181 0.,9999 0.4964 0. 5124 0.4958

2 .500 0,,9426 ,0187 0. 9983 0.4964 0. 5125 0.4960

2 .525 0.,9401 ,0218 0.,9967 0.4963 0. 5125 0.4961

196
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

150

175

200

225

250

275

300

325

350

3.375

,400

,425

,450

,475

,500

,525

3.550

3.575

600

625

650

675

700

725

750

775

800

825

850

875

900

3.925

3.950

3.975

4.000

0.9403

0.9376

0.9493

0.9466

0.9526

0.9495

0.9597

0.9604

0.9624

0.9606

0.9705

0.9749

0.9834

0.9844

0.9853

0.9935

0.9964

1.0006

1.0045

1.0055

1.0057

1.0094

1.0111

1.0131

1.0166

1.0193

1.0164

1.0183

1.0164

0202

0194

0177

0200

0163

0151

1.0218

1.0141

0106

0155

0150

0154

0129

0106

0089

0106

0049

0045

0049

0033

0016

0019

0023

0.9998

1.0002

0.9976

1.0029

0.9997

1.0027

1.0000

1.0191

1.0230

1.0199

1.0173

1.0177

1.0173

1.0145

1.0147

1.0134

1.0104

1.0093

1.0075

1.0062

1.0057

1.0053

1.0021

1.0025

0.9990

0.9996

0.9973

0.9986

0.9995

0.9980

0.9960

0.9956

0.9978

0.9963

0.9960

0.9975

0.9973

0.9961

0.9977

0.9975

0.9959

1.0008

0.9959

0.9980

0.9986

0.9995

1.0005

0001

0003

0003

0002

0004

0018

1.0012

1.0007

1.0025

1.0014

1.0032

1.0027

1.0024

1.0028

1.0034

1.0038

1.0022

1.0034

1.0000

0.9970

0.9976

0.9953

0.9950

0.9936

0.9941

0.9936

0.9966

0.9945

0.9954

0.9974

0.9974

0.9983

0.9979

0.9997

1.0012

1.0016

1.0016

0024

0038

0051

0052

0044

0029

0034

0031

1.0034

0029

0027

,0034

,0025

,0024

1.0012

1.0008

1.0001

1.0009

1.0010

1.0021

1.0015

1.0012

1.0022

1.0016

1.0004

0.9998

1.0010

1.0006

1.0022

1.0013

1.0005

1.0017

1.0010

1.0021

1.0016

1.0029

1.0023

1.0020

1.0014

1.0019

1.0000

0.4963

0.4962

0.4963

0.4963

0.4964

0.4966

0.4967

0.4970

0.4972

0.4974

0.4977

0.4980

0.4983

0.4986

0.4990

0.4993

0.4997

0.5001

0.5005

0.5009

0.5012

0.5016

0.5020

0.5023

0.5027

0.5030

0.5033

0.5035

0.5038

0.5040

0.5041

0.5043

. 5044

0.5045

0.5045

0.5045

0.5045

0.5045

0.5045

0.5044

0.5044

0.5043

0.5042

0.5041

0.5039

0.5038

0.5037

0.5035

0.5034

0.5032

0.5031

0.5029

0.5028

0.5026

0.5024

0.5023

0.5022

0.5021

0.5019

0.5124

0.5123

0.5121

0.5119

0.5116

0.5114

0.5110

0.5107

0.5103

0.5099

0.5095

0.5091

0.5087

0.5084

0.5080

0.5076

0.5073

0.5069

0.5066

0.5063

0.5060

0.5057

0.5055

0.5053

0.5051

0.5049

0.5047

0.5046

0.5044

0.5043

0.5042

0.5041

0.5040

0.5039

0.5038

0.5037

0.5037

0.5036

0.5035

0.5035

0.5034

0.5034

0.5034

0.5033

0.5033

0.5032

0.5032

0.5032

0.5031

0.5031

0.5031

0.5030

0.5030

0.5029

0.5029

0.5028

0.5028

0.5028

0.5027

0.4962

0.4963

0.4964

0.4965

0.4965

0.4966

0.4966

0.4967

0.4967

0.4968

0.4968

0.4969

0.4969

0.4970

0.4970

0.4971

0.4972

0.4972

0.4973

0.4974

0.4975

0.4976

0.4977

0.4977

0.4978

0.4979

0.4980

0.4980

0.4981

0.4981

0.4982

0.4983

0.4983

0.4983

0.4984

0.4984

0.4985

0.4985

0.4985

0.4986

0.4986

0.4987

0.4987

0.4987

0.4987

0.4988

0.4988

0.4988

0.4989

0.4989

0.4989

0.4990

0.4990

0.4990

0.4990

0.4991

0.4991

0.4991

0.4991

-197-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . ^^22/^11== 2 .00 p*= 0.143 x^. 0. 7500 e^^:/^ir 1- 00

R* §11 ^12 §22 hi ^12 ^22

0.850 .0043 .0049 0.0053 1.0000 1.0000 0.0001

0.875 .0397 .0404 0.0408 1.0000 1.0000 0.0009

0.900 .1516 .1569 0.1557 1.0000 1.0000 0.0041

0.925 .3871 .3768 0.3792 1.0000 1.0000 0.0121

0.950 .6845 .6747 0.6600 1.0000 1.0000 0.0260

0.975 .9838 .9825 0.9520 1.0000 1.0000 0.0450

1.000 .2505 1 .2376 1.1745 1.0000 1.0000 0.0669

1.025 .4548 1 .4106 1.3264 1.0000 1.0000 0.0891

1.050 .5608 1 .5170 1.4127 1.0000 1.0000 0.1102

1.075 .6202 1,.5648 1.4376 1.0000 1.0000 0.1293

1.100 .6350 1 .5736 1.4238 1.0000 1.0000 0.1459

1.125 .6314 1 .5431 1.4035 1.0000 0.9999 0.1601

1.150 .5867 1 .5155 1.3536 1.0000 0.9997 0.1722

1.175 .5440 1,.4702 1.3235 1.0000 0.9986 0.1824

1.200 .5051 1,.4209 1.2662 1.0000 0.9959 0.1909

1.225 .4484 1,.3624 1.2234 1.0000 0.9904 0.1980

1.250 .4169 1,.3245 1.1881 1.0000 0.9816 0.2039

1.275 .3659 1,.2798 1.1502 0.9999 0.9697 0.2088

1.300 .3301 1,.2391 1.1178 0.9997 0.9550 0.2129

1.325 .2976 1,.2058 1.0882 0.9988 0.9387 0.2164

1.350 .2588 1,.1703 1.0653 0.9967 0.9220 0.2193

1.375 .2292 1,.1403 1.0496 0.9928 0.9055 0.2217

1.400 ,2009 1..1220 1.0387 0.9865 0.8898 0.2239

1.425 .1762 1,.0928 1.0307 0.9777 0.8752 0.2258

1.450 .1540 1..0786 1.0210 0.9664 0.8621 0.2276

1.475 .1291 1,.0597 1.0145 0.9533 0.8504 0.2291

1.500 .1092 1,.0460 1.0117 0.9388 0.8399 0.2305

1.525 .0959 1,.0362 1.0070 0.9239 0.8306 0.2318

1.550 .0769 1,.0259 1.0049 0.9090 0.8225 0.2330

1.575 .0606 1,.0241 0.9987 0.8945 0.8153 0.2340

1.600 .0517 1,.0121 0.9953 0.8807 0.8091 0.2350

1.625 ,0356 1,.0089 0.9962 0.8678 0.8037 0.2358

1.650 ,0295 1,.0078 0.9897 0.8559 0.7989 0.2366

1.675 ,0259 1.,0029 0.9853 0.8451 0.7948 0.2372

1.700 ,0166 1.,0017 0.9867 0.8352 0.7912 0.2378

1.725 ,0052 0.,9990 0.9846 0.8263 0.7880 0.2383

1.750 ,0034 0,,9958 0.9794 0.8182 0.7853 0.2387

1.775 o'.,9974 0.,9948 0.9765 0.8110 0.7829 0.2390

1.800 0,,9920 0,,9917 0.9796 0.8045 0.7807 0.2393

1.825 0.,9876 0,,9902 0.9831 0.7987 0.7789 0.2396

1.850 0,,9864 0.,9885 0.9840 0.7936 0.7772 0.2399

1.875 0,,9835 0,,9819 0.9893 0.7890 0.7756 0.2402

1.900 0,,9814 0,,9817 0.9878 0.7848 0.7742 0.2405

1.925 0,,9772 0,,9815 0.9893 0.7812 0.7728 0.2407

1.950 0,,9768 0.,9791 0.9945 0.7779 0.7716 0.2410

1.975 0,,9747 0.,9784 0.9930 0.7750 0.7705 0.2412

2.000 0,,9780 0.,9768 0.9967 0.7724 0.7695 0.2415

2.025 0.,9764 0.,9762 1.0033 0.7701 0.7685 0.2418

2.050 0.,9747 0.,9755 1.0066 0.7681 0.7676 0.2421

2.075 0,,9762 0.,9735 1.0070 0.7663 0.7668 0.2424

2.100 0,,9775 0.,9750 1.0073 0.7647 0.7660 0.2427

2.125 0,,9736 0.,9756 1.0075 0.7632 0.7652 0.2430

2.150 0,,9713 0.,9771 1.0076 0.7620 0.7646 0.2432

2.175 0.,9724 0.,9820 1.0104 0.7609 0.7640 0.2435

2 . 200 0,,9682 0.,9827 1.0074 0.7598 0.7634 0.2437

2.225 0,,9683 0.,9857 1.0074 0.7589 0.7629 . 2440

2.250 0,,9699 0.,9866 1.0125 0.7581 0.7625 0.2442

2.275 0,,9695 0.,9894 1.0110 0.7574 0.7621 0.2445

2.300 0,,9678 0.,9920 1.0102 0.7568 0.7617 0.2447

2.325 0,,9719 0.,9928 1.0037 0.7562 0.7614 . 2449

2.350 0,,9675 0.,9948 1.0047 0.7557 0.7611 0.2451

2.375 0.,9677 0. 9979 1.0068 0.7551 0.7609 0.2453

2.400 0.,9670 0. 9993- 1.0018 0.7547 0.7607 0.2454

2.425 0. 9663 1. 0005 1.0009 0.7543 0.7604 0.2456

2.450 0.,9632 1. 0009 1.0035 0.7539 0.7602 0.2457

2.475 0.,9652 1. 0022 1.0035 0.7536 0.7600 0.2459

2.500 0. 9650 1. 0042 1.0009 0.7532 0.7598 0.2460

2.525 0.,9684 1. 0050 1.0029 0.7529 0.7596 0.2461

198
2 .550 0,.9670 1 .0067 0,.9987 0,,7526 0,,7594 0,.2462

2 .575 .9664 1,.0083 1,.0000 0..7524 0,,7592 0,.2463

1..600 0,.9703 1,.0070 1,.0009 0..7521 0,,7590 0,.2464

2 .625 0,.9694 1..0058 1,.0003 0,.7519 0,,7588 0..2465

2 .650 0,.9700 1,.0050 0,.9985 0,.7518 0,,7586 0..2466

2,.675 0,.9716 1..0051 1,.0006 0..7516 0,,7584 0.,2467

2,.700 0,,9718 1,.0052 1,.0019 0..7514 0.,7582 0,.2468

2,.725 0,,9750 1.,0046 1,.0044 0,.7513 0,,7580 0,.2469

2..750 0.,9752 1,,0044 1,.0047 0,.7512 0..7578 0,.2470

2,.775 0,,9743 1,,0048 1.,0016 0,.7511 0.,7575 0,.2471

2..800 0,,9784 1.,0045 1..0056 0,.7510 0,.7573 0,.2472

2.,825 0.,9806 1.,0043 1,,0010 0,.7510 0..7571 0,.2473

2,,850 0.,9834 1.,0039 1.,0028 0..7509 0.,7569 0,.2474

2,,875 0,,9816 1,,0049 1.,0018 0,.7509 0,.7567 0,.2475

2,,900 0,,9856 1,,0046 0,,9998 0,.7509 0,,7565 0..2475

2,,925 0.,9906 1,,0039 1.,0008 0,.7509 0,,7563 0..2476

2,,950 0,,9898 1,,0049 1,,0029 0,.7509 0,,7561 0..2476

2,,975 0.,9907 1,,0036 1.,0034 0..7510 0,,7560 0..2477

3,,000 0.,9925 1,,0024 1.,0045 0..7510 0,,7558 0..2478

3.,025 0,,9951 1,,0041 1.,0035 0,.7511 0.,7556 0,,2479

3,,050 0,,9968 1,,0015 1.,0036 0..7511 0,,7554 0,,2479

3,,075 0,,9986 1,,0013 1,,0038 0,.7512 0,,7552 0.,2480

3,,100 ,0013 1.,0009 1,,0064 0,.7513 0..7551 0,.2481

3,,125 ,0005 1,,0018 1.,0082 0..7514 0,,7550 0..2482

3,,150 ,0008 1,,0026 1,,0035 0..7515 0,.7548 0,,2482

3,,175 ,0014 1,,0004 1,,0068 0,.7516 0,,7547 0,,2483

3,,200 ,0025 1,,0009 1,,0007 0..7516 0,.7546 0,.2483

3,,225 ,0037 1,,0014 1.,0035 0..7517 0..7545 0,.2484

3,,250 ,0052 1.,0004 1.,0004 0,.7518 0,,7544 0,,2484

3,,275 ,0039 1,,0017 1,,0018 0,.7518 0..7542 0..2485

3,,300 ,0060 1.,0005 1,,0002 0..7519 0,,7541 0,,2485

3.,325 ,0075 1,,0005 0.,9996 0.,7520 0,,7540 0,.2485

3,,350 ,0052 1,,0007 1.,0044 0..7520 0,,7539 0,.2486

3,,375 ,0062 1,,0003 1.,0047 0..7520 0,,7538 0,,2486

3.,400 ,0031 1,,0007 1,,0003 0,.7521 0,,7538 0,,2487

3,,425 ,0070 1,,0002 1.,0013 0,.7521 0,,7537 0,,2487

3,,450 ,0046 1,,0021 1.,0037 0,.7521 0,,7536 0,,2487

3,,475 ,0054 1,,0018 1.,0037 0..7521 0,,7535 0,,2488

3,,500 ,0033 1,,0011 1.,0013 0,.7521 0,,7535 0,,2488

3,,525 ,0047 0,,9994 0,,9997 0,.7521 0,,7534 0,,2489

3,,550 ,0040 1,,0000 1.,0030 0,.7521 0,,7533 0,,2489

3,,575 ,0025 1,,0000 1,,0003 0..7521 0,,7533 0,,2489

3,,600 ,0048 1,,0008 1,,0040 0,,7520 0,,7532 0,,2489

3,,625 ,0014 0,,9995 1,,0008 0,.7520 0,,7531 0,,2490

3,,650 ,0033 1,,0004 0,.9995 0,,7520 0,,7530 0,, 2490

3,,675 ,0004 1,,0003 1..0001 0,,7519 0.,7529 0,,2490

3,,700 ,0041 1.,0014 1,.0039 0.,7519 0,,7529 0,,2490

3.,725 ,0015 1.,0005 1,.0025 0,,7519 0.,7528 0,,2491

3..750 ,0008 0,.9997 1,.0024 0,,7518 0.,7527 0.,2491

3,.775 .0019 1,,0019' 1,.0040 0,,7518 0,,7527 0,,2491

3,.800 .0005 1,,0015 1,.0022 0,,7517 0,,7526 0,,2492

3,.825 .0014 0,,9994 1,.0020 0,,7517 0,,7526 0,,2492

3,.850 .0025 1,.0014 1 .0037 0,,7516 0,,7525 0,,2492

3,.875 .0004 1,.0019 1 .0039 0,,7516 0.,7525 0,,2492

3,.900 .0019 1,.0008 1 .0036 0,,7515 0.,7524 0,,2493

3 .925 .0015 1 .0007 1,.0001 0,,7515 0,,7524 0,,2493

3 .950 .0012 0,.9985 1 .0011 0,,7514 0,,7523 0,.2493

3,.975 .0011 1,.0016 .9995 0,,7514 0,,7523 0,,2493

4,.000 .0000 1,.0000 1,.0000 0,,7513 0.,7522 0.,2493

-199
^^22/^^11=^2.00 p*- 0.159 x^. 0. 9001 £221/^11- 1- 00

R* Hi ^12 §22 ^11 ^12 ^22

0.850 0.0047 .0042 0.0051 1.0000 1.0000 0.0000

0.875 0.0352 .0360 0.0389 1.0000 1.0000 0.0003

0.900 0.1379 .1416 0.1349 1.0000 1.0000 0.0014

0.925 0.3416 .3354 0.3206 1.0000 1.0000 0.0038

0.950 0.6159 .6028 0.5741 1.0000 1.0000 0.0082

0.975 0.8928 .8780 0.8128 1.0000 1.0000 0.0144

1.000 1.1455 1,.1170 1.0226 1.0000 1.0000 0.0216

1.025 1.3290 1 .2941 1.1841 1.0000 1.0000 0.0294

1.050 1.4324 1 .3792 1.2426 1.0000 1.0000 0.0370

1.075 1.5027 1,.4428 1.2847 1.0000 1.0000 . 0440

1.100 1.5192 1,.4454 1.3154 1.0000 1.0000 0.0505

1.125 1.5107 1,.4354 1.2838 1.0000 1.0000 0.0562

1.150 1.4861 1,.4086 1.2460 1 . 0000 0.9999 0.0611

1.175 1.4549 1,.3697 1.2475 1.0000 0.9995 0.0653

1.200 1.4172 1..3309 1.1934 1.0000 0.9986 0.0690

1.225 1.3844 1,.2913 1.1588 1.0000 0.9970 0.0721

1.250 1.3339 1,.2526 1.1234 1.0000 0.9942 0.0746

1.275 1.3081 1,.2156 1.1079 1.0000 0.9904 0.0768

1.300 1.2688 1..1847 1.0745 0.9999 0.9856 0.0786

1.325 1.2372 1..1576 1.0691 0.9996 0.9803 0.0802

1.350 1.2080 1..1316 1.0369 0.9989 0.9746 0.0816

1.375 1.1815 1..1061 1.0324 0.9977 0.9687 0.0828

1.400 1.1606 1,.0879 1.0339 0.9957 0.9630 0.0838

1.425 1.1387 1..0748 1.0374 0.9928 0.9577 0.0849

1.450 1.1175 1,.0640 1.0255 0.9892 0.9527 0.0858

1.475 1.0992 1,.0444 1.0227 0.9848 0.9480 0.0866

1.500 1.0826 1,.0373 1.0290 0.9799 0.9438 0.0874

1.525 1.0716 1,.0290 1.0282 0.9747 0.9401 0.0882

1.550 1.0583 1..0277 1.0250 0.9693 0.9367 0.0889

1.575 1.0498 1,.0246 1.0323 0.9640 0.9337 0.0896

1.600 1.0329 1,.0186 1.0343 0.9589 0.9310 0.0902

1.625 1.0296 1..0213 1.0377 0.9540 0.9287 0.0908

1.650 1.0196 1,.0180 1.0268 0.9494 0.9266 0.0914

1.675 1.0171 1,.0185 1.0143 0.9452 0.9248 0.0919

1.700 1.0130 1,.0172 1.0302 0.9412 0.9232 0.0923

1.725 1.0045 1..0183 1.0275 0.9376 0.9218 0.0928

1.750 0.9969 1..0139 1.0120 0.9343 0.9205 0.0932

1.775 0.9968 1,.0168 1.0126 0.9313 0.9194 0.0935

1.800 0.9972 1.,0122 1.0133 0.9285 0.9184 0.0939

1.825 0.9904 1,.0143 1.0213 0.9261 0.9175 0.0942

1.850 0.9940 1,.0113 1.0112 0.9238 0.9167 0.0945

1.875 0.9907 1,.0101 1.0122 0.9219 0.9159 0.0948

1.900 0.9921 1..0068 1.0081 0.9201 0.9151 0.0950

1.925 0.9910 1,.0028 1.0009 0.9185 0.9144 0.0952

1.950 0.9943 1..0069 1.0059 0.9170 0.9138 0.0954

1.975 0.9926 1.,0025 1.0157 0.9157 0.9132 0.0956

2.000 0.9946 1.,0006 1.0101 0.9146 0.9126 0.0958

2.025 0.9957 0,,9956 1.0105 0.9135 0.9120 0.0960

2.050 0.9954 0.,9993 1.0154 0.9126 0.9115 0.0962

2.075 0.9968 0.,9956 1.0157 0.9118 0.9109 0.0964

2.100 0.9971 0.,9952 1.0132 0.9110 0.9104 0.0965

2.125 0.9950 0.,9988 1.0187 0.9104 0.9099 0.0967

2.150 0.9966 0.,9964 1.0080 0.9098 0.9095 0.0969

2.175 0.9981 0.,9962 1.0129 0.9092 0.9090 0.0970

2.200 0.9967 0,,9989 1.0083 0.9087 0.9086 0.0971

2.225 0.9934 0,,9970 1.0148 0.9083 0.9082 0.0973

2.250 0.9986 0.,9960 1.0073 0.9079 0.9079 0.0974

2.275 0.9955 0.,9993 1.0134 0.9075 0.9075 0.0975

2.300 0.9951 0.,9927 1.0120 0.9071 0.9072 0.0976

2.325 0.9944 0.,9999 1.0160 0.9068 0.9069 0.0977

2.350 0.9938 0.,9951 1.0070 0.9065 0.9066 0.0978

2.375 0.9920 0.,9974 1.0068 0.9062 0.9064 0.0979

2.400 0.9946 0. 9962 0.9988 0.9060 0.9061 0.0980

2.425 0.9949 0. 9974 1.0096 0.9057 0.9059 0.0980

2.450 0.9893 0. 9994 1.0045 0.9055 0.9057 0.0981

2.475 0.9912 0. 9996 1.0014 0.9052 0.9054 0.0982

2.500 0.9882 0. 9983 1.0037 0.9050 0.9052 0.0982

2.525 0.9925 0.,9995 1.0032 0.9048 0.9051 0.0983

-200-
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

775

800

825

850

875

2.900

2.925

950

975

000

025

050

3.075

100

,125

,150

175

200

3.225

250

275

300

325

350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9889

0.9902

0.9913

0.9896

0.9895

0.9915

0.9908

0.9918

0.9905

0.9891

0.9916

0.9947

0.9921

0.9947

0.9930

0.9947

0.9935

0.9946

0.9976

0.9972

0.9979

0.9971

0.9995

0.9997

0.9988

0.9999

0.9997

0.9994

0.9993

1.0004

1.0005

1.0013

1.0029

1.0008

0.9999

0.9996

1.0006

1.0003

0.9997

1.0009

0.9996

1.0013

1.0003

1.0002

1.0018

1.0010

1.0025

0.9998

1.0003

0.9982

1.0006

1.0008

1.0010

1.0004

1.0007

0.9989

0.9997

0.9996

0.9995

1.0004

1.0014

0.9978

0.9991

0.9993

1.0009

0.9981

0.9979

0.9987

0.9998

1.0000

0.9976

0.9981

1.0001

1.0010

1.0007

0.9992

1.0000

0.9996

1.0019

1.0026

1.0011

1.0003

1.0001

0.9969

,0006

0015

0020

0013

0012

0007

0001

0009

0007

0016

0000

0.9988

1.0000

0.9995

1.0006

1.0006

1.0024

0.9984

1.0007

0.9987

0.9984

0000

0001

0003

0021

0006

0032

0022

0017

0008

0017

0010

0000

0000

1.0016

1.0044

1.0003

1.0049

0.9987

1.0033

1.0060

0.9998

0.9950

1.0007

0.9984

0.9931

0.9999

0.9984

0.9973

0.9995

0.9961

1.0001

1.0033

1.0087

1.0045

0.9977

0.9932

0.9979

0.9980

0.9953

1.0029

0.9996

1.0043

0.9985

1.0011

0.9971

1.0010

0.9978

0036

0065

0044

0041

0016

0007

0.9989

0.9980

1.0013

0.9993

1.0021

0.9980

0.9974

1.0022

1.0000

0.9953

0.9953

0.9949

0.9992

0.9982

0.9986

0.9985

0.9933

0.9978

1.0000

0.9046

0.9044

0.9042

0.9040

0.9038

0.9037

0.9035

0.9034

0.9032

0.9031

0.9029

0.9028

0.9027

0.9026

0.9025

0.9025

0.9024

0.9023

0.9022

0.9022

0.9021

0.9021

0.9020

0.9020

0.9020

0.9019

0.9019

0.9018

0.9018

0.9018

0.9018

0.9017

0.9017

0.9017

0.9016

0.9016

0.9016

0.9016

0.9015

0.9015

0.9015

0.9015

0.9015

0.9014

0.9014

0.9014

0.9014

0.9014

0.9013

0.9013

0.9013

0.9013

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9011

0.9049

0.9048

0.9046

0.9045

0.9043

0.9041

0.9040

0.9039

0.9037

0.9036

0.9035

0.9033

0.9032

0.9031

0.9030

0.9029

0.9028

0.9027

0.9026

0.9025

0.9024

0.9024

0.9023

0.9022

0.9021

0.9021

0.9020

0.9020

0.9019

0.9019

0.9018

0.9018

0.9017

0.9017

0.9017

0.9016

0.9016

0.9015

0.9015

0.9015

0.9015

0.9014

0.9014

0.9014

0.9013

0.9013

0.9013

0.9013

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9011

0.9011

0.9011

0.0983

0.0984

0.0984

0.0985

0.0985

0.0986

0.0986

0.0987

0.0987

0.0987

0.0987

0.0988

0.0988

0.0988

0.0988

0.0988

0.0989

0.0989

0.0989

0.0989

0.0990

0.0990

0.0990

0.0990

0.0990

0.0990

0.0991

0.0991

0.0991

0.0991

0.0991

0.0992

0.0992

0.0992

0.0992

0.0992

.0992

.0993

0.0993

0.0993

0.0993

0.0993

0.0993

0.0993

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

0.0994

201-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-3 . p*= 0.163 x,= 0.9502 e„„/e,,- 1.00 ^^22/^^11= 2-00 ^22/^11'

R* '11 '12 '22 11 12 22

.850 .0044 .0050 .0027 1 .0000 1 .0000 .0000

0,.875 .0343 .0327 .0325 1 .0000 1 .0000 .0001

0,.900 .1327 .1315 .1264 1 .0000 1,.0000 .0006

0,.925 .3277 0,.3208 .3063 1,.0000 1 .0000 .0017

0,.950 0,.5965 0,.5818 .5402 1 .0000 1,.0000 .0038

,975 0,.8636 0,.8504 .7670 1 .0000 1 .0000 .0066

1,.000 1,.1044 1,.0675 .9957 1 .0000 1,.0000 .0100

1,.025 1,.2816 1,.2387 1,.1418 1,.0000 1 .0000 .0138

1,.050 1,.3906 1,.3352 1,.2356 1 .0000 1,.0000 .0175

1..075 1,.4560 1,.3863 1,.2844 1,.0000 1 .0000 .0211

1,.100 1,.4770 1,.4032 1,.2824 1 .0000 1..0000 .0243

1,.125 1,.4672 1,.3955 1 .2578 1,.0000 1,.0000 .0272

1,.150 1..4459 1,,3724 1,.2248 1,.0000 1..0000 .0296

1..175 1.,4211 1..3369 1 .2059 1,.0000 0..9998 .0317

1.,200 1,,3847 1.,3002 1..1830 1,.0000 .9994 .0335

1.,225 1,,3503 1.,2624 1,.1480 1 .0000 .9986 .0351

1.,250 1,,3104 1.,2349 1,.1279 1,.0000 0..9974 .0364

1,,275 1,,2778 1,,2013 1,.1172 1,.0000 .9956 .0376

1,,300 1,,2452 1.,1713 1..0953 0..9999 0,.9934 .0386

1.,325 1,,2124 1.,1473 1..0842 0..9998 0,.9909 .0395

1,,350 1.,1870 1,,1192 1,,0645 .9995 0..9881 .0403

1,,375 1,,1628 1.,0973 1,.0644 0,.9990 0,.9853 .0409

1,,400 1,,1445 1.,0835 1.,0640 0,.9980 0,.9825 .0416

1,,425 1.,1194 1.,0653 1..0448 0,.9967 0,,9798 .0421

1,,450 1.,1044 1,,0571 1,,0425 0,.9949 0,,9772 0,.0426

1.,475 1,,0896 1,, 0444. 1,.0621 0,.9929 0,.9749 .0431

1.,500 1,,0705 1,,0360 1,,0252 0,.9906 0,.9728 .0435

1,,525 1,,0590 1,,0250 1,,0559 0,.9881 0.,9710 0,.0439

1.,550 1.,0473 1.,0228 1,,0503 0,.9856 0,,9693 0..0443

1,,575 1.,0388 1,,0207 1.,0544 0,,9830 0,,9678 0,.0447

1.,600 1,,0302 1.,0191 1.,0438 0,.9805 0,,9665 0,.0451

1.,625 1,,0214 1.,0214 1.,0322 0..9782 0.,9653 0..0454

1,,650 1.,0144 1,,0193 1.,0355 0,.9759 0,,9642 0..0457

1,,675 1.,0116 1,,0208 1,,0431 0,,9738 0,,9633 0,,0459

1,,700 1,,0048 1,,0208 1,,0304 0,,9719 0,.9624 0,.0462

1,,725 0.,9991 1.,0209 1,,0287 0,,9700 0,,9616 0,,0464

1,,750 0,,9989 1,,0198 1,,0016 0.,9684 0,,9609 0,,0466

1,,775 0,,9957 1,,0192 1,,0151 0.,9669 0,,9603 0,,0467

1.,800 0.,9926 1,,0178 1,,0143 0,,9655 0,,9597 0,,0469

1,.825 0.,9911 1,,0194 1,,0117 0,,9643 0,,9592 0,,0470

1.,850 0.,9916 1,,0155 1,,0183 0,,9631 0,,9587 0.,0472

1,,875 0,,9909 1,,0147 1,,0168 0,,9621 0,,9583 0,,0473

1,,900 0.,9907 1.,0129 1.,0202 0,,9612 0.,9579 0,,0475

1,,925 0.,9936 1,,0116 1.,0315 0,,9603 0,,9575 0,,0476

1,,950 0.,9931 1.,0120 1,,0203 0,,9596 0.,9571 0,,0477

1,,975 0.,9967 1.,0089 1.,0404 0,,9589 0.,9568 0,,0479

2.,000 0.,9981 1,,0074 1.,0277 0,,9583 0,,9565 0,,0480

2,,025 0,,9985 1.,0067 1.,0198 0,,9578 0.,9562 0.,0481

2.,050 1,,0004 1.,0045 1.,0359 0,,9573 0,.9559 0,,0482

2,,075 1,,0007 1,,0040 1,,0382 0,,9569 0..9556 0,,0484

2,,100 1,,0038 1.,0029 1,,0262 0,,9565 0..9553 0.,0485

2,,125 1,,0009 0,,9992 1,,0350 0,,9561 0..9550 0,,0486

2.,150 1,,0029 0.,9997 1,,0281 0,,9558 0..9548 0.,0487

2,.175 1,,0033 0..9992 1,,0331 0.,9555 0..9545 0,,0488

2,.200 1.,0032 0.,9976 1.,0384 0.,9552 0..9543 0.,0489

2,.225 1,,0014 1.,0019 1,,0238 0.,9550 0..9541 0..0489

2,,250 1,,0032 0,,9997 1,.0192 0..9548 0. 9539 0..0490

2,,275 1,,0023 0.,9991 1..0155 0,.9546 0. 9538 0..0491

2,.300 1.,0007 1,,0013 1..0176 0..9544 0. 9536 0..0491

2,,325 1,,0007 1.,0008 1,.0222 0..9542 0. 9534 0. 0492

2,.350 1,,0014 0.,9980 1..0137 0. 9541 0. 9533 0. 0492

2,.375 0,,9997 0.,9998 1..0216 0. 9539 0. 9532 0. 0493

2,.400 0,,9990 0.,9979 1..0163 0. 9538 0. 9531 0. 0493

2,.425 0,,9968 1..0038 1..0148 0. 9536 0. 9530 0. 0493

2 .450 0,,9975 0..9993 1..0193 0. 9535 0. 9529 0. 0494

2,.475 0,,9962 0..9998 1. 0143 0. 9534 0. 9528 0. 0494

2,,500 0,,9946 1..0000 1. 0136 0. 9532 0. 9527 0. 0495

2,.525 0,,9966 0..9976 1..0083 0. 9531 0. 9526 0. 0495

202
2.550

2.575

2.600

2.625

2.650

2.675

700

.725

,750

,775

,800

825

850

875

900

925

2.950

2.975

,000

,025

,050

,075

,100

,125

,150

,175

,200

,225

,250

,275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

0.9953

0.9955

0.9965

0.9966

0.9963

0.9951

0.9951

0.9954

0.9967

0.9953

0.9971

0.9970

0.9969

0.9978

0.9970

0.9984

0.9974

0.9976

0.9976

0.9988

0.9983

0.9989

0.9991

4.000

0000

0002

0006

0011

0009

0004

,0005

0.9998

0.9998

1.0013

0.9996

0.9995

1.0008

1.0012

1.0001

1.0004

0.9996

0.9995

0.9991

1.0006

1 . 0004

1.0006

0.9992

1.0002

1.0020

1.0011

1.0012

1.0006

1 . 0004

1.0007

1.0005

1.0009

1.0008

1.0009

1.0008

1.0000

0.9987

0.9999

1.0013

0.9976

0.9964

0.9968

0.9975

0.9966

1.0004

0.9976

0.9993

0.9972

0.9976

1.0006

0.9986

1.0002

0.9998

1.0000

0.9981

0.9986

0.9981

1.0000

0.9990

1 . 0000

0.9986

0.9990

1.0020

0.9990

0.9972

1.0009

0.9988

1.0013

1.0026

1.0005

1.0016

1.0019

1 . 0006

1.0011

0.9984

0.9990

0.9989

0.9993

1.0011

0.9985

0.9983

0.9974

0.9987

0.9994

1.0008

1.0001

1 . 0000

1.0013

1.0025

1.0039

1.0037

1.0066

1.0050

1.0100

0.9940

0.9983

0.9912

1.0008

0017

0015

0005

0020

0039

0000

.0120

.0029

.0047

.0014

.0024

.0042

.0120

0.9933

1.0058

1.0111

1.0047

1.0060

1.0114

1.0005

1.0036

0.9952

0.9982

1.0079

1.0009

1.0000

1.0033

0.9947

1.0016

1.0023

1.0074

1.0162

1.0148

1.0144

1.0092

1.0078

1.0041

1.0025

1.0009

0.9992

0.9954

0.9977

0.9928

1.0021

1.0067

1.0071

1.0058

1.0098

0.9983

0.9964

0.9954

0.9955

0.9998

0.9985

1.0055

1.0000

0.9530

0.9529

0.9528

0.9526

0.9525

0.9524

0.9524

0.9523

0.9522

0.9521

0.9520

0.9520

0.9519

0.9518

0.9518

0.9517

0.9517

0.9516

0.9516

0.9515

0.9515

0.9514

0.9514

0.9514

0.9513

0.9513

0.9513

0.9513

0.9512

0.9512

0.9512

0.9512

0.9511

0.9511

0.9511

0.9511

0.9511

0.9510

0.9510

0.9510

0.9510

0.9510

0.9510

0.9509

0.9509

0.9509

0.9509

0.9509

0.9509

0.9509

0.9509

0.9508

0.9508

0.9508

0.9508

0.9508

0.9508

0.9508

0.9508

0.9525

0.9524

0.9523

0.9522

0.9521

0.9520

0.9519

0.9518

0.9517

0.9516

0.9515

0.9515

0.9514

0.9513

0.9512

0.9512

0.9511

0.9510

0.9510

0.9510

0.9509

0.9509

0.9508

0.9508

0.9508

0.9507

0.9507

0.9507

0.9506

0.9506

0.9506

0.9506

0.9505

0.9505

0.9505

0.9505

0.9505

0.9505

0.9505

0.9505

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9503

0.9503

0.9503

0.9503

0.0495

0.0495

0.0495

0.0495

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0496

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

203
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-3 . ^22/^^11= 2.00 p*- 0.089 0.0498 ^22/^1° 1.50

R*

'11 '12 '22

X

11 12 22

0.850

0.875

0.900

0.925

950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

0.0000

0.0796

0.2508

0.5081

0.9140

,150

.175

.200

.225

.250

1.275

1.300

1.325

1.350

1.375

1.400

1.425

1.450

1.475

1.500

1.525

1.550

1.575

1.600

1.625

1.650

1.675

1.700

1.725

1.750

1.775

1.800

1.825

1.850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

2.050

2.075

2.100

2.125

2.150

2.175

2.200

2.225

2.250

,275

,300

,325

.350

.375

.400

2.425

2.450

2.475

2.500

2.525

2481

5522

7713

9386

9620

0384

1.8878

1.8742

1.6746

1.6733

1.5678

1.6019

1.5197

1.4715

1.3239

1.3333

1.3067

1.2273

1.1586

1.1886

1.1206

1.0944

1.0885

1 . 1044

1.0467

1.0365

1.0079

0.9075

0.9168

0.9744

0.9286

0.9341

0.8835

0.9406

0.9541

0.8893

0.8229

0.9050

0.9145

0.8410

0.8521

0.8472

0.8552

0.8480

0.8579

0.8219

0.8369

0.8527

0.8547

0.8908

0.8200

0.8613

0.8534

0.8204

0.8652

0.8307

0.8457

0.9227

0.8589

0.8767

0.8988

0.8628

0.8897

0.0019

0.0271

0.1358

0.3919

0.7808

1.2124

1.5845

1.8415

1.9854

2.0313

2.0070

1.9408

1.8715

1.7627

1.6791

1.5830

1.5009

1.4149

1.3328

1.2794

1.2235

1.1647

1.1308

1.0851

1.0452

1.0201

0.9891

0.9639

0.9449

0.9239

0.9031

0.8870

0.8773

0.8713

0,8590

0.8560

0.8511

0.8516

0.8489

0.8497

0.8528

0.8557

0.8577

0.8658

0.8689

0.8783

0.8845

0.8969

0.9042

0.9149

0.9276

0.9418

0.9557

0.9719

0.9820

0.9987

1.0113

1.0232

1.0362

1.0501

1.0589

1.0656

1.0737

1.0785

1.0835

1.0833

1.0759

1.0772

0.0007

0.0123

0.0864

0.3088

0.6979

1.1657

5846

8664

0085

0350

9829

8845

7687

6465

1.5316

,4220

,3215

,2358

,1595

,0939

,0365

0.9880

0.9460

0.9112

0.8832

0.8588

0.8410

0.8266

0.8174

0.8100

0.8078

0.8091

0.8119

0.8195

0.8286

0.8422

0.8572

0.8750

0.8961

0.9163

0.9406

0.9651

0.9888

1.0135

1.0354

1.0562

1.0739

1.0865

0966

1017

1045

1022

0966

1.0899

1.0801

1.0693

1.0577

1.0453

1.0346

1.0229

1.0130

1.0020

0.9925

0.9851

0.9777

0.9715

0.9676

0.9638

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0000

0000

0000

0000

0000

1.0000

0.9999

0.9989

0.9914

0.9621

0.8882

0.7603

0.6031

0.4561

0.3411

0.2591

0.2021

0.1628

0.1353

0.1155

0.1009

0.0899

0.0814

0.0746

0.0694

0.0652

0.0618

0.0590

0.0566

0.0548

0.0532

0.0517

0.0505

0.0496

0.0488

0.0481

0.0474

0.0469

0.0465

0.0461

0.0458

0.0455

0.0453

0.0451

0.0450

. 0449

0.0448

. 0448

. 0448

. 0448

. 0448

. 0448

. 0449

0.0450

0.0451

0.0452

0.0454

0.0455

1 . 0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9998

0.9976

0.9830

0.9260

0.7948

0.6114

0.4392

0.3123

0.2283

0.1743

0.1390

0.1154

0.0990

0.0872

0.0786

0.0722

0.0672

0.0634

0.0604

0.0579

0.0560

0.0544

0.0531

0.0521

0.0513

0.0506

0.0501

0.0497

0.0493

0.0491

0.0490

0.0489

0.0488

0.0488

0.0489

0.0490

0.0491

0.0493

0.0494

0.0496

0.0499

0.0501

0.0504

0.0506

0.0509

0.0512

0.0515

0.0517

0.0520

0.0522

0.0525

0.0527

0.0529

0.0530

0.0531

0.0532

0.0533

0.0005

0.0093

0.0740

0.2636

0.5077

0.6877

0.7924

0.8508

0.8846

0.9054

0.9188

0.9278

0.9342

0.9387

0.9421

0.9446

0.9465

0.9479

0.9490

0.9498

0.9503

0.9507

0.9510

0.9511

0.9512

0.9511

0.9510

0.9508

0.9506

0.9504

0.9501

0.9497

0.9494

0.9490

0.9486

0.9483

0.9479

0.9476

0.9473

0.9471

0.9469

0.9468

0.9467

0.9467

0.9468

0.9469

0.9471

0.9473

0.9475

0.9478

0.9480

0.9483

0.9485

0.9487

0.9490

0.9491

0.9493

0.9495

0.9496

0.9497

0.9498

0.9499

0.9499

0.9499

0.9500

0.9500

0.9500

0.9499

204-
,550

.575

.600

.625

.650

.675

.700

.125

.750

.115

.800

.825

.850

.875

,900

,925

,950

,975

3.000

3.025

,050

,075

,100

,125

,150

175

200

225

250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

2

2

2

2,

2,

2,

2,

2,

2,

2,

2.

2.

2

2

2

2

2

2

,500

,525

.550

.575

.600

.625

.650

,675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9311

0.8917

0.9257

0.9082

0.9252

0.9438

0.9916

0.9593

0.9908

0.9593

0.9625

0.9308

0.9945

0.9527

0.9968

1.0245

1.0142

1.0482

1.0777

0373

,0270

,0537

,0778

,0856

,0656

,0706

,0480

,0584

1018

0237

0269

1.0460

1.0453

1.0510

1.0377

1.0631

1.0775

1.0176

1.0111

0.9987

0.9854

1.0203

1.0099

1.0099

0.9998

1.0022

0.9988

1.0127

0.9917

1.0131

0.9936

0.9904

0.9929

0.9626

0.9882

0.9733

0.9774

0.9688

1.0000

1.0716

1.0665

1.0624

1.0522

1.0476

1.0463

1.0333

1.0272

1.0221

1.0165

1.0086

1.0073

1.0006

0.9966

0.9865

0.9865

0.9835

0.9806

0.9765

0.9742

0.9720

0.9725

0.9683

0.9670

0.9683

0.9701

0.9718

0.9734

0.9753

0.9761

0.9772

0.9793

0.9840

0.9826

0.9837

0.9918

0.9952

0.9962

0.9996

1.0005

1.0025

1.0062

1.0066

1.0080

1.0086

1.0136

1.0116

1.0143

1.0144

1.0138

1.0140

1.0129

1.0118

1.0139

1.0097

1.0117

1.0115

1.0097

1.0000

0.9624

0.9598

0.9612

0.9616

0.9624

0.9650

0.9692

0.9724

0.9765

0.9806

0.9858

0.9903

0.9954

0.9989

1.0029

1.0072

1.0108

1.0135

1.0160

1.0173

1.0185

1.0190

1.0191

1.0194

1.0187

1.0167

1.0156

1.0126

1.0110

1.0082

1.0072

1.0038

1.0022

1.0003

0.9982

0.9963

0.9957

0.9936

0.9926

0.9921

0.9915

0.9918

0.9923

0.9918

0.9925

0.9928

0.9939

0.9954

0.9958

0.9970

0.9982

0.9989

0.9997

1.0013

1.0019

1.0025

1.0033

1.0035

1.0000

0.0456

0.0458

0.0460

0.0462

0.0463

0.0465

0.0468

0.0470

0.0472

0.0474

0.0476

0.0478

0.0480

0.0482

0.0483

0.0486

0.0488

0.0490

0.0492

0.0494

0.0496

0.0498

0.0500

0.0502

0.0503

0.0505

0.0506

0.0507

0.0508

0.0509

0.0509

0.0509

0.0510

0.0510

0.0510

0.0510

0.0510

0.0510

0.0509

0.0508

0.0507

0.0507

0.0506

0.0505

0.0504

0.0503

0.0502

0.0501

0.0501

0.0500

0.0499

0.0498

0.0498

0.0497

0.0496

0.0495

0.0495

0.0494

0.0494

0.0533

0.0533

0.0532

0.0531

0.0530

0.0529

0.0527

0.0525

0.0524

0.0522

0.0520

0.0518

0.0516

0.0514

0.0513

0.0511

0.0509

0.0508

0.0507

0.0506

0.0505

0.0504

0.0503

0.0502

0.0502

0.0501

0.0501

0.0501

0.0500

0.0500

0.0500

0.0500

0.0500

0.0501

0.0501

0.0501

0.0501

0.0502

0.0502

0.0502

0.0502

0.0503

0.0503

0.0503

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.0505

0.0505

0.0504

0.0504

0.0504

0.0504

0.0504

0.0504

0.9499

0.9499

0.9499

0.9498

0.9498

0.9497

0.9497

0.9497

0.9496

0.9496

0.9496

0.9496

0.9496

0.9495

0.9495

0.9496

0.9496

0.9496

0.9496

0.9496

0.9497

0.9497

0.9498

0.9498

0.9498

0.9498

0.9499

0.9499

0.9499

0.9499

0.9499

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

205
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . \

^^22/^^11= 2,,00 p*= 0.092 x^=0. 0999 €22:/Hr ^• 50

R* Sll ^12 §22 ^11 ^12 ^22

0,,850 0,,0042 0.0022 0.0007 1.0000 1.0000 0,,0002

0,,875 0,,0654 0.0271 0.0125 1.0000 1.0000 0.,0046

0,,900 0,,1843 0.1340 0.0848 1.0000 1.0000 0.,0362

0,,925 0,,4887 0.3809 0.3055 1.0000 1.0000 0.,1438

0,,950 0.,9448 0.7794 0.6924 1.0000 1.0000 0,,3265

0,,975 1.,2412 1.2031 1.1577 1.0000 1.0000 0,,5087

1,.000 1.,7054 1.5628 1.5702 1.0000 1.0000 0,,6420

1..025 1.,8714 1.8276 1.8534 1.0000 1.0000 0,,7281

1..050 1.,9030 1.9668 1.9961 1.0000 1.0000 0,,7827

1,.075 2,,0969 2.0052 2.0230 1.0000 1.0000 0,,8181

1,.100 ,9934 2.0042 1.9712 1.0000 1.0000 0,,8417

1..125 ,9631 1.9327 1.8762 1.0000 0.9999 0,,8580

1..150 .9235 1.8539 1.7602 1.0000 0.9988 0,,8696

1,.175 ,8929 1.7712 1.6393 1.0000 0.9917 0,,8781

1,.200 ,7247 1.6682 1.5258 1.0000 0.9638 0.,8844

1..225 .6959 1.5916 1.4161 1.0000 0.8919 0,,8891

1,.250 ,6281 1.4979 1.3169 1.0000 0.7701 0,,8926

1,.275 ,5473 1.4304 1.2320 0.9994 0.6249 0,,8953

1,,300 ,5512 1.3455 1.1600 0.9959 0.4913 0..8973

1,,325 ,4880 1.2804 1.0920 0.9823 0.3863 0..8988

1.,350 ,3818 1.2253 1.0381 0.9462 0.3100 0,.8999

1,,375 ,3315 1.1753 0.9904 0.8769 0.2559 0,.9007

1,,400 ,3073 1.1232 0.9513 0.7738 0.2173 0,.9013

1,,425 ,2583 1.0872 0.9166 0.6527 0.1894 0,.9016

1.,450 ,2785 1.0506 0.8883 0.5364 0.1690 0..9017

1,,475 ,1293 1.0196 0.8653 0.4385 0.1537 0,.9016

1.,500 ,1570 0.9875 0.8474 0.3615 0.1420 0,.9014

1,,525 ,1550 0.9678 0.8346 0.3031 0.1329 0..9011

1,,550 ,1040 0.9414 0.8248 0.2590 0.1258 0,.9008

1,,575 ,0688 0.9220 ,, 0.8194 0.2255 0.1202 0,.9003

1,,600 ,0648 0.9072 0.8157 0.2000 0.1156 0..8998

1,,625 ,0594 0.8972 0.8156 0.1805 0.1120 0,.8992

1,,650 ,0076 0.8853 0.8194 0.1650 0.1091 0,.8985

1,.675 o!,9898 0.8729 0.8251 0.1525 0.1067 0,.8979

1,.700 0.,9981 0.8678 0.8358 0.1427 0.1047 0,.8972

1,.725 0,,9748 0.8623 0.8465 0.1346 0.1032 0,.8966

1,.750 0,,9635 0.8574 0.8613 0.1280 0.1019 0,.8959

1,.775 0,,9603 0.8557 0.8786 0.1225 0.1009 0,.8953

1,.800 0.,9505 0.8508 0.8964 0.1180 0.1001 0,.8948

1,,825 0,,9145 0.8519 0.9185 0.1141 0.0994 0,.8944

1,.850 0,,9043 0.8529 0.9410 0.1108 0.0990 0,.8941

1..875 0,,8972 0.8529 0.9645 0.1079 0.0986 0,.8939

1,.900 0,,9081 0.8598 0.9871 0.1055 0.0984 0,.8938

1,.925 0,,8841 0.8653 1.0125 0.1035 0.0983 0,.8938

1,.950 0.,8820 0.8724 1.0335 0.1017 0.0983 0,.8939

1,.975 0,,8952 0.8827 1.0530 0.1002 0.0984 0,,8941

2,.000 0,,9041 0.8877 1.0698 0.0990 0.0986 0..8945

1..025 0..8814 0.8956 1.0816 0.0980 0.0988 0,.8948

2,.050 0,.8710 0.9067 1.0915 0.0970 0.0990 0,.8952

2 .075 0..8870 0.9164 1.0973 0.0963 0.0993 0,.8957

2 .100 0..8801 0.9319 1.0983 0.0956 0.0997 0,.8961

2 .125 0,.8677 0.9413 1.0962 0.0951 0.1001 0,.8966

2 .150 0,.8764 0.9578 1.0932 0.0947 0.1005 0,.8970

2 .175 0,.8827 0.9700 1.0857 0.0943 0.1010 0.,8974

2 .200 0,.8621 0.9839 1.0759 0.0940 0.1015 0.,8978

2 .225 0,.8637 0.9947 1.0663 0.0938 0.1020 0,,8981

2 .250 .8871 1.0078 1.0556 0.0936 0.1025 0.,8985

2 .275 .8576 1.0234 1.0446 0.0935 0.1029 0,,8987

2 .300 .8630 1.0366 1.0335 0.0934 0.1034 0.,8990

2 .325 .8807 1.0458 1.0235 0.0934 0.1039 0,,8992

2 .350 .8885 1.0547 1.0132 0.0934 0.1044 0.,8993

2 .375 .8935 1.0614 1.0034 0.0935 0.1048 0,,8995

2 .400 .9005 1.0665 0.9939 0.0936 0.1052 0,,8996

2 .425 .9000 1.0714 0.9878 0.0938 0.1055 0,,8996

2 .450 .8982 1.0740 0.9809 0.0939 0.1058 0.,8997

2 .475 .9099 1.0734 0.9743 0.0941 0.1060 0,,8997

2 .500 .9067 1.0726 0.9709 0.0944 0.1061 0.,8997

2 .525 .9189 1.0685 0.9666 0.0946 0.1062 0.,8996

-206
2.550

2.575

.600

.625

,650

.675

,700

,725

2.750

2.775

2.800

2.825

2.850

2.875

2.900

2.925

.950

.975

.000

.025

.050

3.075

100

125

150

175

200

225

250

275

300

325

350

375

400

425

3.450

3.475

500

525

550

575

600

625

650

675

700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9082

0.9047

0.9343

0.9378

0.9525

0.9449

0.9484

0.9567

0.9747

0.9892

0.9702

1.0680

0000

0042

0094

0117

0266

0312

0196

0517

0534

1.0546

0539

0631

0702

0657

0645

0713

1.0725

1.0596

1.0659

1.0568

1.0524

1.0752

1.0646

1.0622

1.0521

1.0630

1.0428

1.0297

1.0291

1.0430

1.0191

1.0351

1.0292

1.0437

1.0048

1.0149

1.0002

1.0057

1.0003

0.9845

0.9930

0.9908

0.9901

0.9875

0.9770

0.9820

0.9935

1.0000

0596

,0563

,0550

0458

0404

1.0322

1.0273

1.0221

1.0166

1.0133

1.0087

1.0023

0.9985

0.9921

0.9877

0.9853

0.9828

0.9795

0.9747

0.9750

0.9728

0.9713

0.9697

0.9705

0.9722

0.9726

0.9748

0.9748

0.9799

0.9767

0.9820

0.9852

0.9855

0.9905

0.9917

0.9917

0.9945

0.9979

,0005

,0000

,0044

,0077

,0076

1.0083

1.0103

1.0099

1.0106

1.0132

1.0134

1.0133

0132

0121

0107

0092

0133

0097

0077

0.9642

0.9636

0.9631

0.9639

0.9663

0.9680

0.9704

0.9746

0.9790

0.9833

0.9861

0.9904

0.9951

0.9986

1.0022

1.0062

1.0096

1.0129

1.0149

1.0163

1.0166

1.0186

1.0189

1.0181

1.0171

1.0000

.0161

.0141

.0119

.0102

.0087

.0064

.0041

.0029

.0011

0.9995

0.9973

0.9964

0.9946

0.9940

0.9936

0.9923

0.9923

0.9923

0.9932

0.9933

0.9937

0.9947

0.9952

0.9960

0.9967

0.9981

0.9991

0.9999

1.0019

1.0018

1.0031

1.0032

1.0037

1.0000

0.0948

0.0951

0.0953

0.0956

0.0960

0.0963

0.0966

0.0969

0.0973

0.0977

0.0980

0.0984

0.0988

0.0991

0.0995

0.0999

0.1002

0.1005

0.1009

0.1012

0.1015

0.1019

0.1021

0.1024

0.1027

0.1029

0.1031

0.1033

0.1034

0.1035

0.1036

0.1037

0.1037

0.1038

0.1038

0.1038

0.1037

0.1037

0.1036

0.1034

0.1033

0.1032

0.1030

0.1029

0.1028

0.1026

0.1024

0.1022

0.1021

0.1019

0.1017

0.1015

0.1014

0.1012

0.1011

0.1009

0.1008

0.1007

0.1006

0.1062

0.1062

0.1061

0.1059

0.1057

0.1055

0.1052

0.1049

0.1045

0.1042

0.1039

0.1035

0.1032

0.1029

0.1026

0.1023

0.1020

0.1018

0.1015

0.1013

0.1011

0.1010

0.1008

0.1007

0.1006

0.1005

0.1004

0.1004

0.1003

0.1003

0.1003

0.1003

0.1003

0.1004

0.1004

0.1004

0.1005

0.1005

0.1006

0.1006

0.1007

0.1007

0.1008

0.1008

0.1009

0.1009

0.1009

0.1010

0.1010

0.1010

0.1010

0.1010

0.1010

0.1010

0.1010

0.1010

0.1010

0.1009

0.1009

0.8996

0.8995

0.8995

0.8994

0.8994

0.8993

0.8992

0.8992

0.8991

0.8991

0.8990

0.8990

0.8990

0.8990

0.8990

0.8990

0.8990

0.8990

0.8991

0.8992

0.8992

0.8993

0.8993

0.8994

0.8995

0.8995

0.8996

0.8996

0.8996

0.8997

0.8997

0.8997

0.8997

0.8997

0.8998

0.8998

0.8998

0.8998

0.8998

0.8998

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8997

0.8998

0.8998

0.8998

0.8998

0.8998

207-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-3.0

""ll^^XX

. 2.00 p*- 0.105 x^-O. 2500 .22i/'ir 1- 50

R* Sll ^12 ^22 ^11 =^12 \l

0.850 0.0100 0.0025 0.0007 1.0000 1.0000 .0001

0.875 0.0455 0.0262 0.0122 1.0000 1.0000 .0015

0.900 0.1914 0.1302 0.0829 1.0000 1.0000 .0123

0.925 0.4807 0.3783 0.2933 1.0000 1.0000 .0519

0.950 0.8620 0.7610 0.6697 1.0000 1.0000 .1362

0.975 1.2401 1.1830 1.1161 1.0000 1.0000 .2517

1.000 1.5550 1.5430 1.5217 1.0000 1.0000 .3682

1.025 1.8192 1.7963 1.7955 1.0000 1.0000 .4654

1.050 1.9521 1.9363 1.9349 1.0000 1.0000 .5393

1.075 1.9346 1.9874 1.9674 1.0000 1.0000 .5937

1.100 1.9545 1.9678 1.9266 1.0000 1.0000 .6336

1.125 1.9525 1.9173 1.8372 1.0000 1.0000 .6630

1.150 1.8454 1.8358 1.7305 1.0000 0.9996 .6848

1.175 1.7836 1.7495 1.6162 1.0000 0.9973 .7012

1.200 1.7307 1.6585 1.5073 1.0000 0.9877 .7137

1.225 1.6855 1.5735 1.4050 1.0000 0.9619 .7232

1.250 1.5980 1.4864 1.3101 1.0000 0.9115 .7305

1.275 1.5372 1.4178 1.2319 0.9997 0.8366 .7361

1.300 1.4992 1.3438 1.1601 0.9985 0.7483 .7405

1.325 1.3965 1.2752 1.0983 0.9940 0.6596 .7437

1.350 1.3647 1.2226 1.0465 0.9814 0.5802 0,.7462

1.375 1.3114 1.1739 1.0021 0.9550 0.5140 0,.7480

1.400 1.2951 1.1266 0.9656 0.9103 0.4607 0,.7492

1.425 1.2428 1.0914 0.9334 0.8484 0.4183 0,.7500

1.450 1.2259 1.0511 0.9083 0.7754 0.3848 0,.7504

1.475 1.1690 1.0234 0.8867 0.6997 0.3582 0,.7506

1.500 1.1588 0.9964 0.8707 0.6283 0.3370 0.,7504

1.525 1.1105 0.9732 0.8607 0.5649 0.3201 0,,7500

1.550 1.1097 0.9529 0.8509 0.5107 0.3064 0,,7495

1.575 1.0706 0.9367 0.8456 0.4654 0.2953 0,,7488

1.600 1.0500 0.9213 0.8424 0.4278 0.2863 0,,7480

1.625 1.0429 0.9088 0.8422 0.3968 0.2789 0,,7471

1.650 1.0069 0.8989 0.8443 0.3713 0.2729 0,,7461

1.675 1.0042 0.8921 0.8499 0.3501 0.2679 0,,7450

1.700 0.9664 0.8826 0.8558 0.3324 0.2639 0,,7439

1.725 0.9688 0.8773 0.8652 0.3175 0.2605 0.,7428

1.750 0.9464 0.8730 0.8773 0.3051 0.2578 0,,7418

1.775 0.9567 0.8721 0.8889 0.2946 0.2556 0..7408

1.800 0.9501 0.8680 0.9046 0.2858 0.2538 0..7399

1.825 0.9314 0.8652 0.9213 0.2782 0.2524 0..7391

1.850 0.9318 0.8684 . 9404 0.2718 0.2513 0.,7385

1.875 0.9159 0.8723 0.9603 0.2663 0.2505 0..7381

1.900 0.9027 0.8765 0.9804 0.2615 0.2500 0. 7379

1.925 0.9033 0.8789 1.0020 0.2574 0.2496 0..7379

1.950 0.8957 0.8831 1.0191 0.2538 0.2495 0.,7381

1.975 0.8886 0.8901 1.0364 0.2508 0.2495 0.,7384

2.000 0.8885 0.8982 1.0520 0.2482 0.2496 0. 7389

2.025 0.8807 0.9040 1.0653 0.2459 0.2499 0. 7395

2.050 0.8926 0.9117 1.0737 . 2440 0.2502 0. 7402

2.075 0.8784 0.9220 1.0809 0.2424 0.2507 0. 7410

2.100 0.8759 0.9297 1.0818 0.2411 0.2512 0. 7418

2.125 0.8872 . 9444 1.0822 0.2399 0.2518 0. 7426

2.150 0.8741 0.9534 1.0783 0.2390 0.2525 0. 7434

2.175 0.8867 0.9650 1.0730 0.2382 0.2532 0. 7441

2.200 0.8738 0.9777 1.0679 0.2377 0.2539 0. 7448

2.225 0.8813 0.9874 1.0605 0.2372 0.2547 0. 7455

2.250 0.8864 1.0022 1.0507 0.2369 0.2555 0. 7461

2.275 0.9028 1.0130 1.0412 0.2367 0.2563 0. 7466

2.300 0.8808 1.0273 1.0313 0.2366 0.2572 0. 7471

2.325 0.8861 1.0361 1.0240 0.2366 0.2580 0. 7475

2.350 0.8814 1 . 0448 1.0156 0.2366 0.2588 0. 7478

2.375 0.8875 1.0472 1.0069 0.2367 0.2595 0. 7481

2.400 0.8892 1.0559 0.9996 0.2368 0.2601 0. 7483

2.425 0.8955 1.0572 0.9934 0.2370 0.2607 0. 7484

2.450 0.9017 1.0607 0.9884 0.2373 0.2612 0. 7485

2.475 0.9004 1.0630 0.9834 0.2377 0.2616 0. 7486

2.500 0.8976 1.0618 0.9790 0.2380 0.2619 0. 7486

2.525 0.9166 1.0597 0.9756 0.2384 0.2621 0. 7486

208
,550

.575

,600

,625

,650

675

700

2.125

2.750

2.775

,800

.825

.850

.875

.900

.925

,950

2.975

3.000

3.025

3.050

3.075

100

.125

.150

.175

.200

,225

3.250

3.275

.300

.325

.350

.375

.400

.425

.450

3.475

3.500

3.525

3.550

3.575

,600

,625

,650

,675

,700

,725

,750

,775

,800

,825

,850

3.875

3.900

3.925

3.950

3.975

4.000

0.9263

0.9183

0.9254

0.9354

0.9371

0.9528

0.9572

0.9651

0.9678

0.9724

0.9803

0.9885

0001

0042

0143

0113

0169

1.0265

,0413

,0285

,0434

,0510

,0401

,0552

1.0407

1.0629

1.0552

1.0670

1.0557

1.0636

0636

0614

0578

0515

0535

1.0532

1.0380

1.0425

1.0327

1.0318

1.0306

1.0307

1.0214

1.0213

1.0156

1.0154

1.0092

1.0130

1.0007

1.0080

0.9970

0.9909

0.9929

0.9976

0.9942

0.9990

0.9935

0.9915

1.0000

1.0583

1.0546

1.0523

1.0494

1.0447

1.0379

1.0323

1.0270

1.0213

1.0159

1.0116

1.0067

1.0047

0.9976

0.9947

0.9920

0.9869

0.9862

0.9838

0.9832

0.9792

0.9782

0.9789

0.9788

0.9808

0.9798

0.9804

0.9794

0.9805

0.9824

0.9828

0.9840

0.9863

0.9867

0.9886

0.9905

0.9916

0.9922

0.9979

0.9981

1.0003

1.0022

1.0014

1.0040

1.0059

1.0053

1.0064

1.0089

1.0086

1.0088

1.0081

1.0087

1.0089

1.0085

1.0095-

1.0075

1.0078

1.0073

1.0000

0.9750

0.9754

0.9737

0.9730

0.9741

0.9757

0.9776

0.9800

0.9831

0.9850

0.9880

0.9938

0.9958

0.9981

0.9998

1.0040

1.0068

1.0089

1.0095

1.0120

1.0129

1.0129

1.0144

1.0131

1.0131

1.0130

1.0113

1.0103

1.0089

1.0084

1.0058

1.0053

1.0033

1.0029

1.0008

1.0000

0.9995

0.9978

0.9975

0.9979

0.9961

0.9962

0.9957

0.9951

0.9962

0.9970

0.9975

0.9976

0.9978

0.9985

0.9985

0.9998

1.0000

1.0009

1.0024

1.0017

1.0030

1.0030

1.0000

0.2389

0.2394

0.2399

0.2405

0.2410

0.2416

0.2423

0.2430

0.2437

0.2443

0.2450

0.2457

0.2464

0.2471

0.2478

0.2485

0.2492

0.2498

0.2505

0.2511

0.2517

0.2523

0.2529

0.2534

0.2539

0.2543

0.2548

0.2551

0.2555

0.2558

0.2560

0.2562

0.2564

0.2565

0.2566

0.2566

0.2565

0.2564

0.2563

0.2561

0.2559

0.2557

0.2555

0.2552

0.2549

0.2547

0.2544

0.2541

0.2538

0.2535

0.2532

0.2529

0.2526

0.2523

0.2521

0.2519

0.2516

0.2514

0.2512

0.2621

0.2621

0.2619

0.2617

0.2614

0.2610

0.2605

0.2600

0.2594

0.2588

0.2582

0.2576

0.2570

0.2564

0.2559

0.2553

0.2548

0.2543

0.2539

0.2535

0.2531

0.2528

0.2525

0.2523

0.2521

0.2519

0.2517

0.2516

0.2515

0.2515

0.2514

0.2514

0.2514

0.2514

0.2514

0.2515

0.2515

0.2515

0.2516

0.2517

0.2517

0.2518

0.2518

0.2519

0.2520

0,2520

0.2521

0.2521

0.2521

0.2521

0.2522

0.2522

0.2521

0.2521

0.2521

0.2521

0.2521

0.2520

0.2520

0.7486

0.7485

0.7485

0.7484

0.7483

0.7482

0.7482

0.7481

0.7480

0.7479

0.7479

0.7479

0.7478

0.7478

0.7479

0.7479

0.7479

0.7480

0.7480

0.7481

0.7482

0.7484

0.7485

0.7486

0.7486

0.7487

0.7488

0.7489

0.7490

0.7490

0.7491

0.7491

0.7492

0.7492

0.7492

0.7492

0.7492

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7494

0.7494

0.7494

0.7494

0.7494

209
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . ^^22/^11= 2.00 p*' 0.131 x^-0. 5000 €22 /^n- 1- 50

R* Sll §12 ^22 ^11 ^12 ^22

0.850 0.0060 0.0021 0.0005 1.0000 1 . 0000 0.0000

0.875 0.0500 0.0242 0.0108 1.0000 1.0000 0.0005

0.900 0.1871 0.1211 0.0722 1.0000 1.0000 0.0038

0.925 0.4654 0.3525 0.2597 1.0000 1.0000 0.0166

0.950 0.8127 0.7120 0.5974 1.0000 1.0000 0.0466

0.975 1.1828 1.0989 1.0064 1.0000 1.0000 0.0949

1.000 1.4864 1.4494 1.3747 1.0000 1.0000 0.1539

1.025 1.6863 1.6946 1.6421 1 . 0000 1.0000 0.2141

1.050 1.8086 1.8331 1.7848 1.0000 1.0000 0.2687

1.075 1.8569 1.8762 1.8284 1.0000 1.0000 0.3150

1.100 1.8629 1.8738 1.8028 1 . 0000 1.0000 0.3528

1.125 1.8169 1.8246 1.7304 1.0000 1.0000 0.3830

1.150 1.7787 1.7581 1.6402 1.0000 0.9999 0.4070

1.175 1.7374 1.6778 1.5474 1.0000 0.9992 0.4259

1.200 1.6592 1.5947 1.4554 1.0000 0.9962 0.4409

1.225 1.5910 1.5195 1.3678 1.0000 0.9880 0.4528

1.250 1 . 5440 1.4469 1.2875 1 . 0000 0.9709 0.4620

1.275 1.4773 1.3790 1.2165 0.9999 0.9429 0.4693

1.300 1.4227 1.3147 1.1593 0.9995 0.9051 0.4750

1.325 1.3673 1.2596 1.1088 0.9981 0.8613 0.4795

1.350 1.3383 1.2144 1.0637 0.9939 0.8156 0.4830

1.375 1.2876 1.1675 1.0277 0.9850 0.7716 0.4857

1.400 1.2531 1.1264 0.9943 0.9691 0.7313 0.4877

1.425 1.2172 1.0939 0.9729 0.9452 0.6958 0.4893

1.450 1.1965 1.0629 0.9537 0.9142 0.6651 0.4904

1.475 1.1576 1.0399 0.9349 0.8782 0.6390 0.4912

1.500 1.1424 1.0170 0.9272 0.8395 0.6170 0.4918

1.525 1.1006 0.9949 0.9161 0.8005 0.5985 0.4921

1.550 1.0847 0.9797 0.9125 0.7631 0.5830 0.4923

1.575 1.0675 0.9695 0.9079 0.7286 0.5700 0.4923

1.600 1.0496 0.9561 0.9053 0.6976 0.5591 0.4922

1.625 1.0226 0.9492 0.9045 0.6700 0.5499 0.4919

1.650 1.0119 0.9432 0,9013 0.6457 0.5423 0.4916

1.675 1.0089 0.9378 0.9016 0.6244 0.5360 0,4911

1.700 0.9898 0.9316 0.9031 0.6059 0.5307 0.4905

1.725 0.9741 0.9277 0.9048 0.5897 0.5263 0.4898

1.750 0.9694 0.9254 0.9101 0.5757 0.5226 0.4891

1.775 0.9665 0.9217 0.9169 0.5635 0.5196 0.4884

1.800 0.9492 0.9175 0.9248 0.5530 0.5170 0.4877

1.825 0.9392 0.9147 0.9354 0.5437 0.5149 0.4871

1.850 0.9436 0.9163 0.9452 0.5357 0.5132 0.4867

1.875 0.9366 0.9141 0.9569 0.5287 0.5119 0.4863

1.900 0.9341 0.9160 0.9716 0.5227 0.5107 0.4861

1.925 0.9362 0.9159 0.9827 0.5175 0.5098 0.4861

1.950 0.9292 0.9161 0.9962 0.5129 0.5091 0.4862

1.975 0.9267 0.9173 1.0078 0.5090 0.5086 0.4864

2.000 0.9231 0.9207 1.0216 0.5056 0.5082 0.4868

2.025 0.9257 0.9277 1.0286 0.5027 0.5079 0.4873

2.050 0.9214 0.9289 1 . 0404 0.5002 0.5078 0.4880

2.075 0.9212 0.9354 1.0430 0.4980 0.5077 0.4886

2.100 0.9188 0.9407 1.0478 0.4962 0.5077 0.4893

2.125 0.9157 0.9501 1.0491 0.4946 0.5078 0.4901

2.150 0.9167 0.9544 1.0465 0.4933 0.5079 0.4908

2.175 0.9180 0.9618 1.0452 0.4923 0.5082 0.4915

2.200 0.9144 0.9696 1.0427 0.4914 0.5084 0.4921

2.225 0.9082 0.9802 1.0378 0.4906 0.5088 0.4928

2,250 0.9093 0.9875. 1.0344 0.4899 0.5092 0.4933

2.275 0.9135 0.9957 1.0277 0.4895 0.5097 0.4938

2.300 0.9127 1.0073 1.0253 0.4891 0.5102 0.4943

2.325 0.9136 1.0139 1.0205 0.4889 0.5108 0.4947

2.350 0.9141 1.0209 1.0153 0.4887 0.5113 0.4951

2.375 0.9139 1.0243 1.0090 0.4886 0.5118 0.4954

2.400 0.9202 1.0313 1.0048 0.4886 0.5123 0.4957

2.425 0.9178 1.0344 1.0015 0.4887 0.5127 0.4959

2.450 0.9206 1.0358 0.9983 0.4888 0.5131 0.4960

2.475 0.9271 1.0377 0.9975 0.4889 0.5134 0.4962

2.500 0.9258 1.0387 0.9949 0.4891 0.5137 0.4963

2.525 0.9261 1.0385 0.9919 0.4894 0.5139 0.4964

210
2.550

2.575

2.600

2.62|

2.650

2.675

2.700

2.125

,750

,775

,800

825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

,150

,175

,200

.225

3.250

3.275

.300

.325

.350

.375

.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

,600

,625

,650

,675

,700

725

750

775

800

825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9304

0.9310

0.9323

0.9412

0.9420

0.9468

0.9522

0.9578

0.9600

0.9616

0.9753

0.9792

0.9856

0.9881

0.9932

,0003

,0026

0105

0139

0165

0169

0227

0209

1.0290

1.0308

1.0364

1.0344

1.0352

1.0345

1.0347

1.0342

1.0317

,0302

,0301

,0240

0273

0188

1.0218

1.0210

1.0225

1.0173

1.0165

1.0158

1.0112

1.0107

1.0106

1.0075

1.0086

1.0059

1.0049

1.0073

1.0045

0.9959

0.9980

0.9997

0.9977

0.9954

0.9935

1.0000

1.0373

1.0339

1.0343

1.0290

1.0295

1.0268

1.0237

0210

,0174

,0147

,0138

,0094

1.0057

1.0047

1.0019

1.0019

0.9985

0.9977

0.9971

0.9966

0.9957

0.9938

0.9945

0.9924

0.9938

0.9920

0.9924

0.9929

0.9924

0.9933

0.9931

0.9928

0.9950

0.9942

0.9946

0.9950

0.9951

0.9965

0.9973

0.9970

0.9987

0.9983

1.0004

1.0006

1.0025

1.0015

1.0021

1.0039

1.0045

1.0038

1.0047

1.0045

1.0035

1.0043

1.0048

1.0041

1.0053

1.0038

1.0000

0.9916

0.9896

0.9894

0.9862

0.9881

0.9886

0.9891

0.9902

0.9905

0.9930

0.9939

0.9967

0.9960

0.9976

1.0003

0.9997

1.0007

.0025

.0039

.0047

,0056

,0046

.0052

,0066

1.0070

1.0065

1.0061

1.0067

1.0051

1.0052

1.0053

1.0041

,0045

,0025

,0035

.0026

^.0028

1.0030

1.0029

1.0020

1.0010

1.0010

1.0022

1.0002

1.0004

0.9998

1.0001

0.9991

0.9985

1.0007

1.0006

0.9996

1.0001

1.0009

1.0006

1.0016

1.0016

1.0014

1.0000

0.4896

0.4899

0.4902

0.4905

0.4909

0.4913

0.4917

0.4922

0.4927

0.4932

0.4938

0.4943

0.4949

0.4955

0.4961

0.4967

0.4974

0.4980

0.4987

0.4993

0.4998

0.5004

0.5010

0.5015

0.5020

0.5025

0.5029

0.5034

0.5037

0.5041

0.5044

0.5046

0.5048

0.5049

0.5050

0.5051

0.5051

0.5050

0.5050

0.5049

0.5047

0.5046

0.5044

0.5042

0.5040

0.5038

0.5036

0.5034

0.5032

0.5029

0.5027

0.5025

0.5023

0.5020

0.5018

0.5016

0.5014

0.5013

0.5011

0.5139

0.5139

0.5138

0.5136

0.5134

0.5130

0.5127

0.5122

0.5117

0.5112

0.5107

0.5101

0.5096

0.5090

0.5085

0.5080

0.5075

0.5071

0.5067

0.5063

0.5059

0.5056

0.5053

0.5050

0.5048

0.5045

0.5043

0.5042

0.5040

0.5039

0.5038

0.5037

0.5036

0.5035

0.5035

0.5034

0.5034

0.5033

0.5033

0.5033

0.5033

0.5033

O.5033

0.5032

0.5032

0.5032

0.5032

0.5032

0.5032

0.5032

0.5031

0.5031

0.5031

0.5030

0.5030

0.5030

0.5029

0.5029

0.5028

0.4965

0.4966

0.4966

0.4967

0.4967

0.4967

0.4967

0.4968

0.4968

0.4968

0.4968

0.4968

0.4969

0.4969

0.4969

0.4970

0.4970

0.4971

0.4972

0.4973

0.4974

0.4975

0.4976

0.4976

0.4977

0.4978

0.4979

0.4980

0.4981

0.4982

0.4982

0.4983

0.4984

0.4984

0.4985

0.4985

0.4986

0.4986

0.4987

0.4987

0.4987

0.4988

0.4988

0.4988

0.4989

0.4989

0.4989

0.4989

0.4989

0.4990

0.4990

0.4990

0.4990

0.4990

0.4991

0.4991

0.4991

0.4991

0.4992

211-
ElADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . ^^22/^11= 2.00 p*- 0.160 x^- 0.7500 ^22/hr ^ 50

R* '11 '12 '22

X

11 12 22

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

150

175

200

225

,250

,275

300

,325

350

,375

,400

,425

1.450

1.475

1.500

1.525

1.550

1.575

600

625

650

675

700

725

750

,775

800

825

,850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

050

,075

100

125

,150

,175

200

225

250

,275

300

325

350

,375

400

,425

2.450

2.475

2.500

2.525

0.0049

0.0442

0.1608

0.3981

0.7158

,0255

,3007

,4895

,6100

.6626

,6763

,6484

,6194

,5723

,5248

,4721

,4301

,3805

,3412

,3002

,2697

,2307

,1996

,1700

,1493

,1276

,1005

1.0931

1.0700

1.0554

1.0433

1.0314

1.0216

1.0099

1.0038

1.0006

0.9888

0.9864

0.9762

0.9743

0.9750

0.9736

0.9700

0.9698

0.9683

0.9643

0.9642

0.9665

0.9638

0.9644

0.9669

0.9689

0.9643

0.9687

0.9670

0.9642

0.9663

0.9630

0.9653

0.9602

0.9622

0.9621

0.9610

0.9576

0.9568

0.9606

0.9605

0.9608

0.0016

0.0200

0.1018

0.2952

0.5973

0.9438

1.2460

,4718

,6174

,6777

,6890

,6557

.6143

.5448

,4899

.4249

1.3681

1.3161

1.2702

1.2234

1.1821

1.1505

1.1202

1.0947

1.0689

1.0534

1.0390

1.0236

1.0164

1.0096

1.0018

0.9948

0.9934

0.9911

0.9872

0.9882

0.9863

0.9816

0.9797

0.9756

0.9763

0.9727

0.9722

0.9714

0.9679

0.9645

0.9653

0.9648

0.9671

0.9642

0.9637

0.9667

0.9696

0.9737

0.9759

0.9797

0.9816

0.9848

0.9902

0.9921

0.9931

0.9981

0.9998

1.0027

1.0020

1.0053

1.0070

1.0071

0.0003

0.0072

0.0525

0.1971

0.4704

0.8007

1.1222

1.3565

1.4982

1.5648

1.5684

5222

4788

4148

3488

2985

2274

1917

1389

1.1191

1.0813

1.0615

1.0399

1.0267

1.0189

1.0093

1.0041

1.0064

0.9964

0.9927

0.9935

0.9832

0.9776

0.9848

0.9764

0.9754

0.9722

0.9687

0.9728

0.9762

0.9716

9752

0.9804

0.9854

0.9904

0.9944

0.9996

0.9997

1.0137

1.0130

1.0112

1.0113

1.0154

1.0170

1.0159

1.0117

1.0098

1.0135

1.0053

1.0051

1.0065

1.0063

1.0045

1.0018

1.0009

1.0030

1.0010

1.0010

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0000

0000

0000

0000

0000

0000

0000

1.0000

0.9999

0.9994

0.9981

0.9954

0.9904

0.9827

0.9722

0.9593

0.9447

0.9290

0.9131

0.8973

0.8822

0.8680

0.8549

0.8430

0.8322

0.8225

0.8138

0.8060

0.7992

0.7930

0.7876

0.7828

0.7786

0.7749

0.7716

0.7687

0.7662

0.7640

0.7620

0.7603

0.7589

0.7576

0.7565

0.7556

0.7548

0.7541

0.7534

0.7529

0.7524

0.7520

0.7517

0.7513

0.7510

0.7508

0.7505

0.7503

0.7501

0.7499

0000

0000

0000

0000

0000

0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.9998

0.9990

0.9967

0.9917

0.9831

0.9709

0.9557

0.9384

0.9205

0.9029

0.8861

0.8706

0.8567

. 8444

0.8335

0.8240

0.8157

0.8086

0.8024

0.7971

0.7925

0.7886

0.7852

0.7824

0.7798

0.7776

0.7756

0.7739

0.7724

0.7711

0.7698

0.7687

0.7677

0.7667

0.7658

0.7650

0.7642

0.7635

0.7628

0.7622

0.7617

0.7613

0.7609

0.7605

0.7602

0.7599

0.7597

0.7595

0.7594

0.7592

0.7591

0.7590

0.7589

0.7588

0.7587

0.0000

0.0001

0.0010

0.0046

0.0136

0.0291

0.0499

0.0735

0.0971

0.1192

0.1389

0.1556

0.1698

0.1817

0.1914

0.1995

0.2060

0.2114

0.2158

0.2194

0.2224

0.2250

0.2271

0.2289

0.2305

0.2320

0.2333

0.2345

0.2356

0.2365

0.2374

0.2381

0.2387

0.2393

0.2397

0.2401

0.2404

0.2406

0.2408

0.2409

0.2411

0.2412

0.2413

0.2415

0.2417

0.2419

0.2421

0.2423

0.2426

0.2429

0.2432

0.2435

0.2438

0.2441

. 2444

0.2446

0.2449

0.2451

0.2453

0.2455

0.2457

0.2458

0.2460

0.2461

0.2463

0.2464

0.2465

0.2466

-212-
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

800

825

850

875

900

925

950

975

3.000

3.025

050

075

100

125

150

,175

200

225

,250

,275

,300

,325

,350

,375

,400

,425

3.450

3.475

500

525

550

575

600

625

650

675

700

3.725

3.750

3.775

3.800

3.825

850

875

900

925

950

975

000

0.9626

0.9646

0.9650

0.9651

0.9684

0.9673

0.9707

0.9742

0.9738

0.9748

0.9780

0.9801

0.9842

0.9854

0.9883

0.9912

0.9912

0.9978

0.9945

0.9990

1.0032

1.0028

1.0050

1.0082

1.0087

1.0080

1.0123

1.0087

1.0093

1.0103

1.0121

1.0125

1.0106

1.0117

1.0112

1.0111

1.0095

1.0094

1.0085

1.0085

1.0082

1.0089

1.0090

1.0072

1.0084

0093

0105

0083

0062

0074

0083

1.0072

1.0072

1 . 0044

1.0038

1.0035

0081

0031

0048

0039

0030

0046

0049

0007

0000

,0075

0072

,0080

0063

0052

0044

1.0049

1.0060

1.0043

1.0029

1.0033

1.0020

1.0028

0.9999

1.0026

1.0011

1.0020

1.0016

0.9988

1.0004

1.0000.

0.9997

1.0008

0.9991

1.0003

1.0002

1.0001

1.0009

0.9994

1.0011

0.9993

1.0000

1.0013

1.0013

1.0009

1.0009

0.9992

1.0010

0.9993

1.0013

0.9999

0.9996

0.9996

1.0013

1.0018

1.0007

1.0018

1.0006

1.0023

1.0004

1.0014

1.0005

1.0000

1.0042

1.0056

1.0011

1.0015

1.0020

0.9986

1.0003

1.0001

1.0032

1.0002

1.0015

1.0025

1.0007

1.0031

1.0045

1.0056

1.0009

1.0019

0033

0033

0011

0049

0018

1.0022

1.0010

0.9993

1.0017

1.0014

0.9984

1.0042

1.0011

0.9998

1.0026

1.0007

1.0016

0.9997

1.0020

1.0007

1.0003

1.0029

1.0036

1.0015

1.0014

0.9994

1.0028

1.0028

1.0022

1.0047

1.0029

1.0036

1.0031

1.0038

1.0026

1.0034

1.0046

1.0023

1.0018

1.0012

1.0000

0.7498

0.7497

0.7496

0.7495

0.7494

0.7493

0.7493

0.7493

0.7493

0.7493

0.7493

0.7494

0.7494

0.7495

0.7496

0.7497

0.7498

0.7500

0.7501

0.7503

0.7504

0.7506

0.7507

0.7509

0.7511

0.7513

0.7514

0.7516

0.7517

0.7518

0.7519

0.7520

0.7521

0.7522

0.7523

0.7523

0.7524

0.7524

0.7524

0.7524

0.7524

0.7524

0.7524

0.7524

0.7524

0.7523

0.7523

0.7523

0.7522

0.7521

0.7521

0.7520

0.7520

0.7519

0.7519

0.7518

0.7518

0.7517

0.7517

0.7586

0.7585

0.7583

0.7582

0.7580

0.7578

0.7577

0.7575

0.7572

0.7570

0.7568

0.7566

0.7563

0.7561

0.7559

0.7557

0.7555

0.7553

0.7551

0.7550

0.7548

0.7546

0.7545

0.7544

0.7543

0.7541

0.7540

0.7539

0.7538

0.7537

0.7536

0.7535

0.7534

0.7534

0.7533

0.7532

0.7531

0.7530

0.7530

0.7529

0.7528

0.7528

0.7527

0.7527

0.7526

0.7525

0.7525

0.7524

0.7524

0.7523

0.7523

0.7522

0.7522

0.7521

0.7521

0.7520

0.7520

0.7519

0.7519

0.2467

0.2468

0.2470

0.2470

0.2471

0.2472

0.2473

0.2474

0.2474

0.2475

0.2476

0.2477

0.2477

0.2478

0.2479

0.2479

0.2480

0.2480

0.2481

0.2482

0.2482

0.2483

0.2483

0.2484

0.2484

0.2485

0.2485

0.2485

0.2486

0.2486

0.2487

0.2487

0.2487

0.2488

0.2488

0.2488

0.2488

0.2489

0.2489

0.2489

0.2490

0.2490

0.2490

0.2490

0.2491

0.2491

0.2491

0.2492

0.2492

0.2492

0.2492

0.2493

0.2493

0.2493

0.2494

0.2494

0.2494

0.2494

0.2494

213
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-3 . 2.00 p*= 0.167 X = 0.9001 e„„/e,,- 1.50 ^22/^11 ^22/^1°

R*

'11 '12 '22 11 12

X,22

0.,850 0.,0047 0.,0015 0,,0005 1.,0000 1.,0000 0,,0000

0.,875 0.,0347 0.,0168 0,,0064 1.,0000 1.,0000 0,,0000

0.,900 0.,1415 0.,0861 0,,0444 1.,0000 1.,0000 0.,0003

0.,925 0.,3447 0.,2569 0.,1624 1.,0000 1,,0000 0.,0014

0.,950 0.,6229 0.,5231 0.,3916 1.,0000 1.,0000 0.,0041

0,,975 0.,9095 0.,8344 0.,6777 1,,0000 1.,0000 0,,0090

1.,000 1.,1555 1.,0964 0,,9655 1,,0000 1.,0000 0,,0157

1.,025 1.,3280 1.,3126 1,,1857 1,,0000 1.,0000 0,,0237

1.,050 1.,4517 1,,4517 1.,3279 1.,0000 1.,0000 0,,0320

1.,075 1,,5111 1.,5153 1,,4036 1.,0000 1.,0000 0,,0401

1.,100 1.,5245 1.,5311 1,,4141 1.,0000 1.,0000 0,,0476

1,,125 1.,5182 1,,5119 1.,4002 1.,0000 1.,0000 0,,0542

1,.150 1.,4952 1.,4831 1,,3735 1.,0000 1.,0000 0,,0599

1,,175 1,,4602 1.,4415 1,,3344 1,,0000 0,,9999 0,.0649

1,,200 1.,4222 1.,3946 1,.3030 1.,0000 0.,9997 0..0692

1.,225 1,,3826 1,,3419 1,.2293 1,,0000 0.,9990 0,.0727

1.,250 1.,3429 1,,2979 1,.1991 1.,0000 0,,9975 0,.0757

1.,275 1.,3062 1.,2537 1,.1565 1,,0000 0.,9948 0,,0781

1.,300 1.,2674 1,,2209 1,.1403 1.,0000 0,,9910 0,,0802

1.,325 1.,2326 1.,1881 1,.0919 0.,9998 0.,9861 0.,0819

1,,350 1.,2097 1,,1518 1,,0886 0.,9994 0,,9804 0,,0834

1,,375 1,,1815 1,,1266 1,.0719 0.,9986 0.,9742 0.,0847

1..400 1,,1518 1.,1052 1,,0564 0,,9970 0,,9680 0,,0858

1,.425 1,,1318 1,,0857 1,.0325 0.,9946 0,,9619 0,,0867

1,.450 1.,1082 1,,0587 1..0289 0..9912 0.,9560 0.,0875

1,,475 1.,0929 1.,0508 1,.0342 0,.9869 0,.9507 0,.0883

1,.500 1.,0818 1.,0404 1..0373 0..9821 0,.9458 0,.0891

1,.525 1,,0656 1.,0300 1,.0549 0..9767 0,.9414 0..0898

1,.550 1,,0557 1,,0237 1,.0442 0..9711 0,.9375 0..0906

1,.575 1,,0409 1.,0187 1,.0346 0,.9655 0,.9340 0,.0912

1..600 1.,0275 1,,0184 1,.0519 0..9599 0,,9308 0,.0918

1,.625 1,,0270 1,,0121 1,.0396 0,.9546 0,.9281 0..0924

1,.650 1,,0178 1.,0133 1,.0361 0,.9496 0,.9257 0,.0929

1,.675 1,.0078 1,,0104 1,.0303 0,.9449 0..9237 0,.0934

1,.700 1,,0008 1,,0161 1,.0281 0..9406 0..9219 0,.0939

1,.725 0.,9992 1,,0159 1,.0298 0,.9367 0,.9203 0,.0943

1,.750 0,,9940 1.,0161 1,.0273 0,.9331 0,.9189 0,.0946

1,.775 0,.9946 1,,0100 1,.0285 0,.9298 0..9177 0,.0950

1,.800 0,.9888 1..0135 1,,0245 0,.9269 0,.9166 0,.0953

1 .825 0,.9921 1,,0104 1,,0150 0,.9243 0..9156 0,.0956

1,.850 0..9843 1,.0100 1,.0188 0,.9219 0,.9148 0,.0958

1 .875 0,.9866 1..0117 1,.0136 0,.9198 0..9140 0,.0961

1 .900 0,.9901 1,.0068 1,,0083 0,.9179 0,.9133 0,.0962

1 .925 0..9875 1..0008 1,.0251 0,.9162 0,.9127 0,.0965

1 .950 0,.9877 1..0040 1,,0129 0,.9148 0,.9121 0,.0967

1 .975 0,.9880 1..0005 1,.0178 0,.9134 0..9115 0,.0968

2 .000 0.,9890 1,.0016 1,,0056 .9122 0..9109 0,,0970

2 .025 0,,9948 0,.9987 1,.0172 0,,9112 0..9104 0,.0971

2 .050 0.,9927 0,.9989 1,,0164 0,.9103 0..9098 0,.0973

2 .075 0,.9942 0,.9931 1,,0128 ,9095 0,.9093 0,.0974

2 .100 0,.9933 0,.9951 1,,0115 0,.9087 0,.9088 0,.0975

2 .125 0,,9920 0,,9924 1,,0109 0,,9081 0,.9083 0,.0977

2 .150 0.,9944 0,,9953 1 ,0047 0,,9075 0,.9079 0,,0977

2 .175 0,,9948 0,,9898 1 .0102 0,,9070 0..9074 0,,0978

2 .200 0,,9958 ,9918 1 .0098 0,,9066 0..9071 0,.0980

2 .225 ,9906 ,9897 1 .0129 0,,9062 0..9067 0,.0980

2 .250 0,,9932 .9918 1 .0138 0,,9059 0..9063 0,,0981

2 .275 0,.9917 ,9938 1 .0150 0,,9055 0,.9060 0,,0982

2 .300 0,,9906 ,9936 1 .0159 ,9052 0,.9057 0,,0983

2 .325 0,,9930 .9953 1 .0029 0,,9050 0..9054 0,.0984

2 .350 0,,9910 .9962 1 .0123 0,,9047 0,.9052 0,.0985

2 .375 ,9915 .9949 1 .0077 0.,9045 0,.9049 0..0986

2 .400 ,9903 .9970 1 .0057 0,,9043 0..9047 0,.0986

2 .425 ,9869 .9976 1 .0130 0,,9041 0,.9045 0,.0987

2 .450 ,9869 .9973 1 .0104 0,.9039 0,.9043 0,.0988

2 .475 ,9877 .9987 1 .0064 0,,9037 0,.9041 0,.0988

2 .500 .9876 .9986 1 .0042 ,9035 0..9039 0,.0989

2 .525 ,9878 ,9961 .9958 ,9034 0..9038 0,.0989

-214
2.550

2.575

2.600

2.625

2.650

2.700

2.12b

2.750

2.775

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

.150

.175

.200

.225

.250

.275

.300

.325

.350

.375

.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9878

0.9861

0.9891

0.9868

0.9863

0.9882

0.9875

0.9853

0.9890

0.9903

0.9897

0.9904

0.9913

0.9939

0.9915

0.9921

0.9955

0.9954

0.9963

0.9973

0.9980

0.9969

0.9979

0.9990

0.9987

0.9989

.0007

,0007

,0013

,0019

,0015

,0016

1.0042

1.0016

1.0031

1.0041

1.0014

1.0027

1.0023

1.0018

1.0035

1.0016

1.0032

1.0018

1.0007

1.0011

1.0012

1.0016

1.0006

0.9993

0.9999

1.0006

0.9996

0.9996

1.0008

0.9990

1.0006

0.9999

1.0000

0.9968

1.0004

0.9995

0.9993

0.9990

0.9997

,0000

,0028

0005

0024

0023

1.0029

1.0009

0.9981

0.9991

0.9987

1.0000

1.0012

1.0011

0.9989

1.0009

0.9989

0.9983

0.9984

1.0002

0.9996

0.9991

1.0012

0.9987

0.9984

0.9992

1.0010

0.9991

1.0001

0.9992

1.0003

1.0004

1.0021

0.9992

1.0012

0.9997

1.0008

1.0013

1.0013

1.0012

1.0005

0.9998

0.9995

1.0012

1.0017

1.0002

0.9995

0.9994

1.0005

1.0001

0.9979

0.9999

0.9981

1.0000

0.9990

0.9913

1.0035

1.0032

1.0086

1.0091

0.9966

1.0029

0.9997

.0012

1.0054

1.0094

0.9995

1.0025

0.9985

1.0055

1.0017

1.0026

1.0028

1.0081

1.0056

1.0008

1.0051

1.0006

.0121

.0013

.0052

.0071

.0096

1.0051

1.0007

1.0123

1.0026

1.0112

1.0117

1.0060

1.0034

1.0060

1.0030

1.0021

1.0084

0.9978

1.0010

1.0091

1.0068

1.0084

1.0051

0.9996

1.0013

1.0039

1.0002

1.0027

1.0023

1.0035

1.0015

1.0004

1.0065

1.0053

1.0000

0.9032

0.9031

0.9029

0.9027

0.9026

0.9025

0.9023

0.9022

0.9021

0.9020

0.9019

0.9018

0.9017

0.9017

0.9016

0.9015

0.9015

0.9014

0.9014

0.9013

0.9013

0.9013

0.9013

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9012

0.9011

0.9011

0.9011

0.9011

0.9011

0.9011

0.9011

0.9011

0.9011

0.9011

0.9010

0.9010

0.9010

0.9010

0.9010

0.9010

0.9010

0.9009

0.9009

0.9009

0.9009

0.9037

0.9035

0.9033

0.9032

0.9031

0.9030

0.9029

0.9028

0.9026

0.9025

0.9025

0.9024

0.9023

0.9022

0.9022

0.9021

0.9020

0.9019

0.9019

0.9018

0.9017

0.9016

0.9016

0.9015

0.9015

0.9014

0.9014

0.9013

0.9013

0.9012

0.9012

0.9011

0.9011

0.9011

0.9011

0.9011

0.9011

0.9010

0.9010

0.9010

0.9010

0.9009

0.9009

0.9009

0.9009

0.9009

0.9009

0.9008

0.9008

0.9008

0.9008

0.9008

0.9007

0.9007

0.9007

0.9007

0.9007

0.9007

0.9006

0.0989

0.0989

0.0989

0.0990

0.0990

0.0991

0.0991

0.0991

0.0991

0.0991

0.0992

0.0992

0.0992

0.0993

0.0993

0.0993

0.0993

0.0993

0.0994

0.0994

0.0994

0.0994

0.0994

0.0995

0.0995

0.0995

0.0995

0.0995

0.0996

0.0996

0.0996

0.0996

0.0996

0.0997

0.0997

0.0997

0.0997

0.0997

0.0997

0.0997

0.0998

0.0998

0.0998

0.0998

0.0998

0.0998

0.0998

0.0998

0.0998

0.0998

0.0998

0.0998

0.0998

0.0999

0.0999

0.0999

0.0999

0.0999

0.0999

-215
^22/^ir= 2 .00 p*= 0.167 x^. 0. 9502 .22i/^r ^• 50

R* hi ^12 §22 ^11 ^12 ^22

0.850 .0039 0.0013 0.0004 1.0000 1.0000 0.0000

0.875 .0345 0.0158 0.0038 1.0000 1.0000 0.0000

0.900 .1318 0.0819 0.0487 1.0000 1.0000 0.0002

0.925 .3295 0.2453 0.1647 1.0000 1.0000 0.0007

0.950 .5957 0.5012 0.3543 1.0000 1.0000 0.0020

0.975 .8709 0.7950 0.6315 1.0000 1.0000 0.0041

1.000 1 .1055 1.0583 0.9279 1.0000 1.0000 0.0072

1.025 1 .2810 1.2653 1.1253 1.0000 1.0000 0.0110

1.050 1 .3925 1.3966 1.3049 1.0000 1.0000 0.0150

1.075 1 .4526 1.4649 1.3882 1.0000 1.0000 0.0190

1.100 1 .4766 1.4849 1.3907 1.0000 1.0000 0.0228

1.125 1 .4711 1.4765 1.3988 1.0000 1.0000 0.0261

1.150 1,.4440 1.4464 1.3506 1.0000 1.0000 0.0290

1.175 1,.4149 1.4139 1.3118 1.0000 1.0000 0.0315

1.200 1,.3808 1.3623 1.2425 1.0000 0.9998 0.0335

1.225 1..3425 1.3287 1.2614 1.0000 0.9995 0.0353

1.250 1..3019 1.2782 1.2069 1.0000 0.9988 0.0369

1.275 I..2724 1.2411 1.1555 1.0000 0.9976 0.0382

1.300 1..2410 1.2078 1.1193 1.0000 0.9959 0.0392

1.325 1,.2114 1.1653 1.1121 0.9999 0.9936 0.0401

1.350 1,.1804 1.1452 1.0846 0.9997 0.9909 0.0409

1.375 1,,1603 1.1123 1.0819 0.9993 0.9880 0.0416

1.400 1,.1395 1.0931 1.0766 0.9986 0.9850 0.0422

1.425 1.,1179 1.0805 1.0764 0.9975 0.9819 0.0428

1.450 1,,0974 1.0580 1.0455 0.9959 0.9790 0.0433

1.475 1,,0813 1.0554 1.0572 0.9939 0.9764 0.0437

1.500 1.,0653 1.0414 1.0670 0.9916 0.9739 0.0442

1.525 1,,0565 1.0339 1.0613 0.9890 0.9717 0.0446

1.550 1,,0452 1.0289 1.0895 0.9864 0.9697 0.0450

1.575 1,,0340 1.0252 1.0880 0.9836 0.9680 0.0455

1.600 1.,0228 1.0260 1.0625 0.9810 0.9665 0.0458

1.625 1,,0162 1.0263 1.0537 0.9784 0.9651 0.0461

1.650 1,,0069 1.0202 1.0785 0.9759 0.9638 0.0465

1.675 1,,0039 1.0216 1.0748 0.9736 0.9627 0.0468

1.700 1.,0005 1.0260 1.0649 0.9715 0.9618 0.0471

1.725 0,,9974 1.0253 1.0798 0.9695 0.9610 0.0473

1.750 0.,9936 1.0194 1.0347 0.9677 0.9603 0.0476

1.775 0.,9916 1.0261 1.0466 0.9660 0.9597 0.0477

1.800 0..9893 1.0192 1.0316 0.9645 0.9591 0.0479

1.825 0.,9906 1.0171 1.0236 0.9632 0.9586 0.0480

1.850 0,,9872 1.0171 1.0189 0.9620 0.9581 0.0482

1.875 0.,9863 1.0185 1.0351 0.9609 0.9576 0.0483

1.900 0.,9892 1.0134 1.0180 0.9599 0.9572 0.0484

1.925 0,,9889 1.0097 1.0254 0.9591 0.9568 0.0485

1.950 0,,9918 1.0081 1.0258 0.9583 0.9565 0.0486

1.975 0..9915 1.0087 1.0215 0.9576 0.9562 0.0487

2.000 0,,9923 1.0048 1.0191 0.9570 0.9558 0.0488

2.025 0,,9984 1.0032 1.0173 0.9565 0.9555 0.0488

2.050 0..9969 1.0044 1.0434 0.9560 0.9552 0.0489

2.075 1..0004 1.0023 1.0124 0.9556 0.9549 0.0490

2.100 0..9975 0.9982 1.0297 0.9552 0.9545 0.0491

2.125 1, 0013 1.0004 1.0272 0.9549 0.9542 0.0492

2.150 1..0006 1.0022 1.0287 0.9546 0.9540 0.0492

2.175 0..9999 0.9991 1.0287 0.9543 0.9538 0.0493

2.200 1..0013 0.9991 1.0117 0.9541 0.9535 0.0494

2.225 0..9986 1.0005 1.0187 0.9539 0.9533 0.0494

2.250 0..9986 1.0011 1.0013 0.9537 0.9531 0.0494

2.275 1. 0012 0.9991 1.0265 0.9535 0.9529 0.0495

2 . 300 0..9986 0.9971 0.9955 0.9533 0.9527 0.0495

2.325 1. 0001 0.9984 1.0244 0.9532 0.9525 0.0495

2.350 0. 9983 0.9963 1.0115 0.9530 0.9524 0.0495

2.375 0..9978 0.9985 1.0197 0.9529 0.9522 0.0496

2.400 0. 9965 0.9961. 1.0064 0.9528 0.9521 0.0496

2.425 0..9967 0.9932 1.0037 0.9527 0.9520 0.0496

2.450 0..9969 0.9954 1.0042 0.9525 0.9519 0.0496

2.475 0..9951 0.9976 1.0107 0.9524 0.9518 0.0496

2.500 0..9959 0.9973 1.0077 0.9523 0.9517 0.0497

2.525 0.,9961 0.9958 0.9932 0.9522 0.9516 0.0497

216
2 .550 0.9953 .9995 1.0140 .9521

2 .575 0.9939 1 .0006 1.0029 .9520

2 .600 0.9938 .9969 0.9973 .9519

2 .625 0.9939 .9985 0.9958 .9518

2 .650 0.9933 .9988 1.0052 .9518

2 .675 0.9944 1 .0002 1.0016 .9517

2 .700 0.9960 .9970 1.0004 .9516

2 .725 0.9945 .9994 1.0111 .9515

2 .750 0.9953 .9987 1.0129 .9515

2 .775 0.9963 .9976 1.0086 .9514

2 .800 0.9951 .9991 1.0137 .9513

2 .825 0.9956 .9986 1.0022 .9513

2 .850 0.9963 .9985 1.0062 .9512

2 .875 0.9969 .9974 1.0024 .9512

2 .900 0.9965 .9973 1.0021 .9511

2 .925 0.9973 .9985 1.0092 .9511

2 .950 0.9969 .9989 0.9986 .9511

2 .975 0.9981 .9995 1.0028 .9510

3 .000 0.9972 .9996 0.9979 .9510

3 .025 0.9978 .9984 1.0070 0,.9510

3 .050 0.9994 1 .0036 1.0084 0,.9509

3 .075 0.9982 1 .0012 1.0054 0,.9509

3 .100 0.9997 1,.0022 1.0030 0,.9509

3,.125 0.9997 1,.0006 1.0119 0..9509

3,.150 0.9994 .9993 1.0056 0..9509

3,.175 1.0024 1,.0014 1.0025 0..9509

3,.200 1.0009 0,.9983 1.0035 0.,9508

3,,225 1.0022 1,.0018 1.0035 0.,9508

3,.250 1.0005 1,.0029 0.9917 0.,9508

3..275 1.0004 1..0024 0.9911 0,,9508

3,,300 1.0001 1,,0021 1.0145 0.,9508

3,,325 1.0017 0,,9985 0.9991 0,,9508

3.,350 1.0006 1.,0006 1.0032 0.,9508

3.,375 1.0010 1.,0014 1.0035 0,,9507

3.,400 1.0014 1,,0011 1.0033 0.,9507

3,,425 1.0021 1.,0015 1.0106 0. 9507

3.,450 1.0006 1.,0018 1.0036 0. 9507

3.,475 1.0000 1.,0010 0.9979 0. 9507

3.,500 1.0009 0.,9988 1.0122 0. 9507

3.,525 1.0002 1.,0007 1.0067 0. 9507

3. 550 1.0015 0.,9991 1.0053 0. 9507

3. 575 1.0013 1.,0003 1.0105 0. 9507

3. 600 1.0012 1. 0007 1.0138 0. 9507

3. 625 1.0008 1. 0001 1.0019 0. 9507

3. 650 1.0017 1. 0024 1.0069 0. 9507

3. 675 1.0008 1. 0003 1.0130 0. 9507

3. 700 1.0010 0. 9999 1.0169 0. 9507

3. 725 1.0012 1. 0002 1.0123 0. 9507

3. 750 1.0003 1. 0002 1.0030 0. 9506

3. 775 1.0005 0. 9996 1.0049 0. 9506

3. 800 1.0006 0. 9989 1.0083 0. 9506

3. 825 1.0009 1. 0003 1.0044 0. 9506

3. 850 1.0000 1. 0008 1.0086 0. 9506

3. 875 1.0025 1. 0002 0.9990 0. 9506

3. 900 1.0009 1. 0019 1.0078 0. 9506

3. 925 1.0009 1. 0011 1.0085 0. 9506

3. 950 1.0005 1. 0027 1.0041 0. 9506

3. 975 1.0019 0. 9985 1.0011 0. 9506

4. 000 1.0000 1. 0000 1.0000 0. 9506

0.9515

0.9515

0.9514

0.9513

0.9513

0.9512

0.9512

0.9511

0.9510

0.9510

0.9509

0.9509

0.9508

0.9508

0.9507

0.9507

0.9506

0.9506

0.9506

0.9506

0.9505

0.9505

0.9505

0.9505

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9504

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9503

0.9502

0.9502

0.9502

0.9502

0.9502

0.9502

0.9502

0.9502

0.9502

0.9502

0.9502

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0497

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0500

0.0500

0.0500

0.0500

-217
^22/^11= 2,.00 p*- 0.096 x^-O. 0498 622^/nr 2- 00

R* Hi Hi §22 ^11 ^12 ==22

0.850 0,.0146 0,.0009 0.0000 1.0000 1.0000 0,.0000

0.875 0,.0690 0,.0157 0.0026 1.0000 1.0000 0,.0015

0.900 0..2218 0,.1016 0.0332 1.0000 1.0000 .0232

0.925 0,.5559 0,.3319 0.1773 1.0000 1.0000 .1374

0.950 1,.0159 0,.7419 0.5270 1.0000 1.0000 0,.3779

0.975 1,.2981 1,.2312 1.0434 1.0000 1.0000 0,.6102

1.000 1,.8232 1..6798 1.5760 1.0000 1.0000 0,.7549

1.025 1..9542 1,.9796 1.9790 1.0000 1.0000 0,.8338

1.050 2,.0899 2,.1615 2.1993 1.0000 1.0000 0,.8774

1.075 2,.1310 2,.1987 2.2590 1.0000 1.0000 0,.9028

1.100 2,.1270 2..1720 2.1989 1.0000 1.0000 0,.9186

1.125 2,.1483 2,.0914 2.0746 1.0000 1.0000 0,.9288

1.150 2,.0000 1,.9929 1.9214 1.0000 0.9998 0,.9358

1.175 1,.8507 1,.8657 1.7600 1.0000 0.9967 0,.9407

1.200 1,.8258 1,.7420 1.6058 1.0000 0.9768 0,.9441

1.225 1,.7380 1,.6448 1.4662 1.0000 0.9046 0,.9467

1.250 1,.6133 1..5268 1.3438 0.9999 0.7521 0,.9485

1.275 1,.5978 1,,4450 1.2347 0.9995 0.5575 0,.9499

1.300 1,.5151 1,,3552 1.1434 0.9961 0.3898 0,.9509

1.325 1,.3997 1,,2731 1.0650 0.9787 0.2737 0,.9516

1.350 1,.3774 1,,2100 1.0005 0.9257 0.1997 0,.9520

1.375 1,.3473 1.,1468 0.9428 0.8190 0.1529 0,.9523

1.400 1,.2524 1,,0998 0.8957 0.6672 0.1226 0,.9525

1.425 1,,2766 1,,0548 0.8576 0.5088 0.1024 0..9525

1.450 1,,2354 1,,0069 0.8263 0.3778 0.0884 0,.9524

1.475 1.,1818 0.,9736 0.8007 0.2822 0.0784 0,.9522

1.500 1.,0898 0,,9434 0.7837 0.2160 0.0712 0..9520

1.525 1,,1623 0,,9187 0.7686 0.1710 0.0657 0,.9516

1.550 1,,0790 0,,8987 0.7600 0.1401 0.0616 0,.9513

1.575 1.,0940 0,,8749 0.7553 0.1181 0.0584 0..9508

1.600 1.,0559 0,,8643 0.7550 0.1023 0.0559 0,,9504

1.625 1.,0017 0,,8471 0.7597 0.0905 0.0539 0.,9499

1.650 1.,0026 0,,8358 0.7670 0.0815 0.0523 0,,9494

1.675 0,,9541 0,,8272 0.7786 0.0746 0.0511 0,.9489

1.700 0.,9326 0,,8190 0.7931 0.0691 0.0501 0,.9484

1.725 0,,9431 0,,8132 0.8124 0.0647 0.0494 0..9479

1.750 0,,9094 0,,8123 0.8340 0.0612 0.0488 0,,9474

1.775 0,,9091 0,,8081 0.8580 0.0583 0.0483 0,.9470

1.800 0.,8539 0,,8126 0.8843 0.0559 0.0480 0,,9466

1.825 0,,9005 0,,8118 0.9135 0.0540 0.0477 0,,9463

1.850 0,,8462 0,,8180 0.9436 0.0523 0.0476 0,,9461

1.875 0,,8351 0,,8256 0.9741 0.0509 0.0475 0.,9460

1.900 0,,9033 0,,8331 1.0055 0.0498 0.0475 0,,9459

1.925 0.,8771 0,,8389 1.0353 0.0488 0.0476 0,,9460

1.950 0,,8971 0,.8549 1.0640 0.0481 0.0477 0,,9461

1.975 0,,8746 0..8599 1.0898 0.0474 0.0478 0,,9463

2.000 0,,8548 0,.8753 1.1116 0.0469 0.0480 0,,9465

2.025 0,,8751 0,.8918 1.1290 0.0464 0.0483 0.,9469

2.050 0,,8388 0,.9030 1.1420 0.0461 0.0485 0.,9472

2.075 0,,8377 0,.9151 1.1473 0.0457 0.0488 0.,9475

2.100 0,,8479 0,.9316 1.1468 0.0455 0.0492 0,,9479

2.125 0..8508 0..9526 1.1426 0.0453 0.0495 0,,9482

2.150 0,.8266 0,.9672 1.1329 0.0451 0.0499 0.,9486

2.175 0..8038 0,.9852 1.1214 0.0449 0.0502 0.,9489

2.200 0,.8178 0,.9984 1.1057 . 0448 0.0506 0.,9492

2.225 0,.8321 1,.0141 1.0891 0.0447 0.0510 0,,9494

2.250 0,.8075 1,.0334 1.0719 0.0447 0.0514 0.,9496

2.275 0,,8496 1,.0506 1.0542 0.0447 0.0517 0.,9498

2.300 0,,8152 1,.0663 1.0353 . 0447 0.0521 0. 9500

2.325 0,.8432 1,.0801 1.0190 0.0447 0.0525 0.,9501

2.350 0,.8445 1,.0877 1.0024 . 0448 0.0528 0.,9502

2.375 0,.8531 1,.0993 0.9885 0.0449 0.0531 0.,9502

2.400 0,.8455 1,.1084 0.9757 0.0450 0.0534 0.,9503

2.425 0..8668 1,.1083 0.9645 0.0451 0.0536 0. 9503

2.450 0,.8853 1,.1100 0.9547 0.0453 0.0538 0. 9502

2.475 0..8813 1,.1070 0.9473 0.0454 0.0539 0. 9502

2.500 0,.9014 1,.1034 0.9414 0.0456 0.0540 0. 9502

2.525 0,.9483 1,.1011 0.9377 0.0459 0.0540 0. 9501

-218
550

575

600

625

650

675

700

725

750

2.775

,800

,825

,850

,875

,900

2.925

2.950

.975

.000

.025

.050

.075

.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

,300

,325

,350

,375

.400

,425

.450

3.475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

000

0.9078

0.9154

0.9268

0.9246

0.9659

0.9535

0.9903

0.9925

0.9948

1.0360

1.0654

1.0377

0.9991

1.0543

1.0944

1.0745

0837

0820

1007

0855

1036

0863

0853

1083

1.1118

1.0941

1.0774

1.0879

1.0925

1.0668

1.0677

1.0720

1.0391

1.0632

1.0348

1.0416

1.0512

1.0508

1.0315

1.0488

1.0396

1.0429

1.0242

1.0328

1.0064

1.0417

1.0049

1.0067

0.9861

0.9924

1.0284

1.0022

0.9841

0.9566

0.9904

0.9801

0.9618

0.9865

1.0000

1.0938

1.0842

1.0775

1.0664

1.0569

1.0451

1.0350

1.0298

1.0188

1.0128

0.9986

0.9920

0.9864

0.9802

0.9745

0.9692

0.9618

0.9615

0.9593

0.9556

0.9562

0.9532

0.9565

0.9579

0.9578

0.9588

0.9614

0.9639

0.9663

0.9688

0.9724

0.9775

0.9820

0.9861

0.9890

0.9944

0.9971

1.0009

1.0049

1.0089

1.0086

1.0132

1.0156

1.0177

1.0189

1.0234

1.0242

1.0210

1.0230

1.0216

1.0240

1.0203

1.0195

1.0178

1.0155

1.0142

1.0123

1.0093

1.0000

0.9368

0.9359

0.9380

0.9411

0.9448

0.9504

0.9558

0.9629

0.9698

0.9775

0.9852

0.9927

1.0006

1.0074

1.0138

1.0196

1.0244

1.0287

1.0312

1.0326

1.0338

1.0337

1.0326

1.0299

1.0282

1.0253

1.0221

1.0181

1.0147

1.0100

1.0055

1.0018

0.9980

0.9946

0.9912

0.9894

0.9864

0.9847

0.9843

0.9829

0.9826

0.9835

0.9844

0.9857

0.9873

0.9885

0.9906

0.9925

0.9947

0.9973

0.9992

1.0010

1.0028

0044

0061

0073

0081

0085

0000

0.0461

0.0463

0.0465

0.0468

0.0470

0.0473

0.0475

0.0478

0.0481

0.0484

0.0487

0.0490

0.0493

0.0496

0.0499

0.0501

0.0504

0.0507

0.0509

0.0512

0.0514

0.0516

0.0518

0.0519

0.0521

0.0522

0.0523

0.0524

0.0525

0.0525

0.0525

0.0525

0.0525

0.0525

0.0524

0.0524

0.0523

0.0522

0.0521

0.0520

0.0519

0.0518

0.0517

0.0516

0.0514

0.0513

0.0512

0.0511

0.0509

0.0508

0.0507

0.0506

0.0505

0.0504

0.0503

0.0502

0.0501

0.0500

0.0500

0.0540

0.0540

0.0539

0.0538

0.0536

0.0534

0.0531

0.0529

0.0526

0.0524

0.0521

0.0518

0.0516

0.0513

0.0511

0.0509

0.0507

0.0505

0.0504

0.0502

0.0501

0.0500

0.0499

0.0499

0.0498

0.0498

0.0497

0.0497

0.0497

0.0498

0.0498

0.0498

0.0499

0.0499

0.0500

0.0500

0.0501

0.0501

0.0502

0.0502

0.0503

0.0503

0.0504

0.0504

0.0505

0.0505

0.0506

0.0506

0.0506

0.0506

0.0506

0.0506

0.0506

0.0506

0.0506

0.0506

0.0505

0.0505

0.0505

0.9500

0.9500

0.9499

0.9498

0.9497

0.9497

0.9496

0.9495

0.9495

0.9494

0.9494

0.9494

0.9494

0.9494

0.9494

0.9494

0.9494

0.9495

0.9495

0.9496

0.9496

0.9497

0.9497

0.9498

0.9498

0.9499

0.9499

0.9499

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9500

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9499

0.9500

0.9500

0.9500

219
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-3 . p*= 0.099 x,= 0.0999 e--/e,,= 2.00 ^22/^^11= ^-^^ IT 11

R* Sll ^12 §22 ^11 ^12 ^22

0,.850 .0092 .0011 .0000 1 .0000 .0000 .0000

.875 .0694 .0159 .0025 1 .0000 .0000 .0007

0,.900 .1886 .1014 .0325 1 .0000 .0000 .0109

0,.925 .5190 .3334 .1739 1 .0000 .0000 .0691

0,.950 0,.9704 .7385 .5165 1 .0000 .0000 .2202

0,.975 1 .3455 1 .2137 1 .0286 1 .0000 .0000 .4219

1,.000 1 .6216 1 .6512 1 .5533 1 .0000 .0000 .5897

1..025 1,.9219 1,.9611 1 .9589 1 .0000 .0000 .7010

1,,050 2 .0708 2 .1392 2 .1769 1 .0000 .0000 .7700

1,,075 2,,0248 2 .1993 2,.2384 1 .0000 .0000 .8131

1,,100 1..9880 2,.1597 2,.1817 1 .0000 .0000 .8409

1,,125 1.,9786 2 .0876 2 .0605 1 .0000 .0000 .8595

1,,150 1.,9129 .9797 .9099 1 .0000 .9999 .8723

1,,175 1,,8351 .8679 .7520 1 .0000 .9985 .8814

1,,200 1.,7383 .7448 .6029 1 .0000 .9891 .8880

1,,225 1,,6314 .6327 .4638 1 .0000 .9532 .8928

1,,250 1,,6239 .5362 .3426 1 .0000 .8670 .8963

1,,275 1,,5031 ,4348 .2373 .9997 .7303 .8989

1,,300 1,,4761 ,3591 .1479 .9979 .5781 .9008

1.,325 1.,3620 ,2756 ,0692 .9892 .4468 .9022

1.,350 1,,3324 ,2077 ,0040 .9618 0,.3482 .9031

1..375 1,,3265 ,1477 0:,9485 .9017 0,.2785 .9037

1..400 1,,3038 ,0972 0,,9030 .8030 0,.2300 .9040

1.,425 1.,2309 ,0529 0.,8658 0,.6791 0,,1959 .9040

1..450 1,,1446 ,0165 0,,8351 0,.5544 0.,1715 0,.9039

1..475 1.,1105 0!,9752 0,,8111 0,.4468 0,,1537 0,.9036

1..500 1,,1670 0,,9471 0,,7942 0,.3625 0..1405 0,.9032

1..525 1,,1331 0.,9274 0,,7799 0,.2994 0,,1305 0..9026

1,.550 1.,0739 0,,8999 0,,7720 ,2525 0.,1228 0..9019

1..575 1.,0818 0.,8779 0,,7667 0,.2175 0,,1167 0,.9012

1..600 1.,0368 0,,8628 0.,7665 0,,1911 0,,1120 0.,9004

1..625 1.,0080 0,,8524 0.,7681 0,.1710 0.,1083 0.,8995

1,.650 0..9836 0,,8456 0,,7767 0..1555 0.,1053 0,.8986

1,.675 0..9704 0,,8319 0,,7864 0.,1433 0.,1030 0.,8977

1..700 0..9926 0,,8252 0.,8007 0,,1337 0.,1011 0,,8968

1..725 0,.9337 0,,8242 0,,8173 0,,1259 0,,0996 0.,8959

1..750 0..9296 0,,8184 0.,8379 0.,1196 0.,0984 0.,8951

1..775 0,.8843 0,,8212 0.,8608 0,,1143 0.,0975 0.,8943

1..800 0..9032 0,,8205 0.,8866 0,,1100 0,,0969 0.,8937

1,.825 0,.8903 0.,8222 0.,9137 0,,1064 0,,0964 0.,8931

1,.850 0,.8756 0,,8249 0.,9417 0,,1034 0.,0961 0.,8927

1..875 0..8786 0.,8307 0,,9696 0,,1009 0,,0960 0.,8925

1..900 0,.8724 0.,8374 0,,9997 0,,0988 0,,0960 0.,8924

1..925 0,.8804 0,,8479 1,,0283 0.,0970 0,.0960 0,,8924

1.,950 0,.8615 0,,8572 1.,0581 0,,0956 0..0962 0,,8926

1,,975 0,.8794 0.,8625 1..0829 0,,0943 0. 0965 0,,8929

2.,000 0,.8462 0,,8795 1..1039 0,,0933 0..0968 0,,8934

2.,025 0..8551 0.,8863 1..1210 0,,0925 0..0973 0..8939

2.,050 0,.8273 0.,9069 1..1336 0.,0917 0..0977 0..8945

2.,075 0..8428 0.,9181 1,.1392 0,,0911 0..0983 0..8952

2,,100 0..8267 0,,9341 1,.1406 0.,0906 0. 0988 0..8958

2,,125 0..8446 0,,9512 1..1367 0,,0902 0. 0994 0..8964

2,,150 0.,8445 0,,9628 1..1268 0.,0899 0. 1001 0..8970

2,,175 0,,8633 0,,9809 1..1158 0.,0898 0. 1007 0..8976

2,,200 0,,8321 0,,9979 1..1032 0,,0896 0. 1014 0. 8981

2,,225 0,,8325 1.,0125 1..0859 0,,0896 0. 1021 0. 8986

2,,250 0.,8195 1,,0297 1..0695 0.,0895 0. 1028 0. 8990

2,,275 0.,8390 1.,0454 1..0526 0..0895 0. 1034 0. 8993

2,,300 0,,8357 1.,0585 1..0368 0..0895 0. 1041 0. 8996

2,,325 0,,8545 1.,0718 1..0210 0. 0896 0. 1047 0. 8998

2,,350 0.,8114 1..0857 1..0055 0. 0897 0. 1053 0. 8999

2,,375 0,,8748 1..0955 0.,9917 0. 0899 0. 1059 0. 9001

2,,400 0,,8506 1..0980 0. 9800 0. 0902 0. 1063 0. 9001

2,,425 0,,8630 1,.1002 0. 9686 0. 0904 0. 1068 0. 9002

2,,450 0,,8633 1,.1051 0. 9602 0. 0907 0. 1071 0. 9002

2,,475 0,,8807 1,.1020 0. 9528 0. 0909 0. 1074 0. 9001

2.,500 0,,9009 1..1016 0. 9467 0. 0913 0. 1075 0. 9000

2,,525 0.,8653 1..0960 0. 9434 0. 0916 0. 1076 0. 8999

220-
2 .550 .8914 1 .0895 .9432 .0920 .1076 8998 2 .575 .9043 1 .0832 .9420 .0923 1076 8997 2 .600 .9056 1 .0736 .9430 .0927 1074 8996 2 .625 .9406 1 .0625 .9452 .0931 .1072 8995 2 .650 .9355 1 .0584 .9481 .0936 1068 8993 2 .675 .9442 1 .0456 9531 0940 1065 8992 2 .700 .9558 1 .0338 9584 0945 1061 8991 2 .725 .9578 1 .0256 9643 0950 1056 8990 2 .750 .9561 1 0169 9715 0954 1052 8989 2 .775 .9765 1 0082 9785 0959 1047 8988 2 .800 .9990 1 0033 9854 0963 1042 8988 2 .825 9912 9960 9922 0968 1037 8987 2 850 1 0019 9897 9995 0973 1033 8987 2 875 9925 9813 0063 0977 1028 8987 2 900 1 0102 9776 0110 0981 1024 8987 2 925 1 0299 9719 0165 0986 1020 8987 2 950 1 0480 9694 0211 0990 1017 8988 2 975 1 0585 9649 0242 0995 1013 8988 3 000 1 0737 9643 0283 1000 1010 8989 3 025 1 0596 9617 0303 1004 1008 8990 3 050 1 0695 9584 0308 1008 1006 8991 3 075 1 0720 9588 0313 1011 1004 8992 3 100 1 0951 9605 0303 1015 1002 8993 3 125 1 1056 9594 0286 1019 1001 8994 3 150 1 0884 9591 0266 1022 1000 8995 3 175 1 0926 9612 0237 1025 0999 8995 3 200 1 1031 9625 0203 1027 0999 8996 3 225 1 0972 9634 0168 1030 0998 8996 3 250 1 0847 9679 0137 1032 0998 8997 3 275 1 0660 9704 0101 1033 0999 8997 3 300 1 0774 9758 0061 1034 0999 8997 3 325 1 0699 9767 0026 1035 0999 8998 3 350 1 0597 9794 9995 1035 1000 8998 3 375 1 0513 9873 9964 1035 1001 8998 3 400 1 0597 9879 9937 1034 1002 8998 3 425 1 0394 9918 9907 1033 1002 8998 3 450 1 0468 9978 9886 1032 1003 8998 3 475 1 0112 0010 9874 1031 1004 8997 3 500 1 0272 0036 9864 1029 1005 8997 3 525 1 0294 0057 9857 1027 1006 8997 3 550 1 0259 0107 9859 1025 1007 8997 3 575 1 0171 0110 9860 1023 1008 8997 3 600 1 0043 0134 9864 1021 1009 8997 3 625 1 0180 0157 9876 1019 1010 8996 3 650 1 0098 0176 9881 1017 1011 8996 3 675 1 0118 0162 9901 1015 1011 8996 3 700 1 0036 0179 9918 1013 1012 8996 3 725 1 0031 0211 9926 1011 1012 8996 3 750 9953 0215 9953 1008 1013 8996 3 775 9912 0196 9976 1006 1013 8996 3 800 9820 0216 9987 1004 1013 8996 3 825 9982 0198 1 0003 1002 1013 8996 3 850 9750 0198 1 0025 1000 1013 8996 3 875 9709 0167 1 0039 0999 1013 8997 3 900 9795 0157 1 0051 0997 1013 8997 3 925 9876 0150 1 0062 0995 1012 8997 3 950 9696 0125 1 0070 0994 1012 8997 3 975 9737 0108 1 0077 0993 1011 8997 4 000 1 0000 0000 1 0000 0992 1011 8998

221-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . p*= 0.110 X,- 0.2500 €^^/e,,- 2.00 ^22/^ir 2.00 €22/^1'

R* '11 '12 '22 11 12 22

0,.850 0.,0053 .0008 .0000 1,.0000 .0000 .0000

0,,875 0,,0570 .0147 .0023 1,.0000 .0000 .0002

0,,900 0,,2167 0,.0927 .0296 1 .0000 .0000 .0034

0,,925 0.,5150 0,.3151 .1600 1,.0000 .0000 .0228

0,,950 0.,9091 .6986 .4785 1 .0000 .0000 .0820

0,,975 1.,3042 1,.1603 .9567 1..0000 .0000 .1877

1,,000 1,,5793 1..5820 1,.4572 1..0000 .0000 .3133

1,,025 1.,8509 1 .8877 1 .8521 1,.0000 .0000 .4273

1,,050 1,,9634 2,.0549 2,.0693 1,.0000 .0000 0..5164

1,,075 2,,0361 2,.1107 2 .1395 1 .0000 .0000 .5815

1,,100 2,,0009 2,.0966 2 .1051 1 .0000 .0000 0,.6284

1,,125 1.,9889 2,.0144 2 .0015 1 .0000 .0000 0,.6622

1,,150 1,,8797 1,.9309 1,.8656 1,.0000 .0000 .6867

1.,175 1.,8277 1..8232 1,.7259 1,.0000 0,,9995 0,.7048

1.,200 1,,7606 1,.7129 I..5880 1,.0000 0,.9966 .7183

1,,225 1,,6397 1..6152 1..4584 1,.0000 0,,9848 .7284

1,,250 1,,5987 1.,5236 1,.3462 1,.0000 0.,9538 .7360

1,,275 1,,5291 1.,4305 1.,2497 0,.9999 0,,8954 .7417

1.,300 1,,4732 1,,3495 1,,1615 0,.9994 0,,8123 .7459

1.,325 1,,4141 1,,2844 1,,0918 0,,9967 0,.7180 .7490

1,,350 1,.3526 1.,2186 1,,0272 0.,9881 0,,6270 .7512

1,,375 1..3087 1.,1675 0,,9778 0,,9674 0,,5479 .7527

1,,400 1..2514 1,,1156 0.,9346 0,,9286 0,,4836 .7536

1.,425 1..2304 1,,0704 0,,8995 0,,8704 0.,4329 0,.7540

1,,450 1..1925 1.,0338 0.,8733 0.,7973 0.,3931 .7540

1,,475 1..1511 1,,0059 0,,8501 0,,7183 0..3621 0,.7537

1,,500 1..1301 0.,9748 0.,8336 0.,6416 0,.3378 0,.7532

1,,525 1..0884 0.,9513 0,,8199 0,,5726 0,,3187 0,.7524

1,,550 1..0710 0,,9284 0.,8126 0,.5136 0,.3035 0,.7514

1,,575 1..0429 0.,9100 0.,8081 0,.4644 0,,2914 0.,7503

1,,600 1..0358 0.,8963 0.,8081 0..4242 0,,2817 0.,7491

1,,625 1,.0152 0,,8821 0.,8079 0.,3913 0,,2739 0,,7478

1..650 0..9768 0.,8714 0.,8123 0.,3643 0.,2676 0.,7465

1,,675 0,.9654 0,,8638 0.,8192 0.,3421 0.,2625 0.,7450

1,,700 0,.9595 0.,8578 0.,8277 0.,3240 0.,2583 0,,7436

1,,725 0..9338 0,,8525 0.,8390 0.,3088 0,,2550 0,,7421

1,,750 0,.9177 0,,8479 0.,8556 0.,2961 0,.2524 0,,7408

1.,775 0..9061 0,,8478 0.,8700 0.,2855 0,.2504 0,,7395

1.,800 0,.9205 0.,8455 0,,8908 0.,2766 0,.2488 0,,7383

1.,825 0,.8901 0,,8509 0,,9116 0,,2691 0..2476 0,,7373

1,,850 0,.8895 0.,8499 0.,9329 0,,2627 0,.2468 0,,7366

1.,875 0,.8970 0.,8552 0.,9560 0.,2573 0,.2463 0,,7360

1,,900 0,.8809 0.,8623 0..9814 0..2527 0,.2460 0,.7357

1,,925 0,.8761 0.,8657 1.,0049 0.,2488 0..2460 0,.7357

1,,950 0..8677 0.,8723 1,,0299 0,,2454 0..2461 0,,7359

1,,975 0,.8823 0,,8821 1.,0541 0,.2427 0..2464 0..7364

2,.000 0,.8586 0,,8888 1.,0714 0,.2403 0..2468 0,.7370

2,,025 0,,8600 0,,8967 1.,0893 0,.2382 0..2474 0,.7378

2,,050 0,.8660 0,,9075 1.,1013 0,,2365 0..2481 0,.7388

2,,075 0,,8543 0,,9204 1.,1086 0,.2351 0..2488 0,.7398

2 .100 0.,8659 0.,9307 1.,1131 0,.2340 0..2497 0..7408

2 .125 0.,8593 0.,9435 1,.1097 0,.2330 0,.2506 0..7419

2 .150 0,,8627 0.,9556 1,.1051 0..2323 0,.2515 0..7429

2 .175 0,,8582 0,,9709 1,.0978 0,.2318 0,.2525 0,.7439

2 .200 0,,8589 0.,9816 1..0910 0,.2314 0..2535 0..7449

2 .225 0,,8650 1.,0001 1.,0783 0,.2311 0..2546 0..7457

2 .250 0,,8748 1,,0110 1,.0649 0,.2310 0. 2557 0..7465

2 .275 0,,8626 1,,0274 1,.0515 0,.2310 0. 2568 0..7471

2 .300 0,,8662 1.,0404 1..0398 0..2310 0. 2579 0.,7476

2 .325 0.,8732 1.,0523 1,.0259 0,.2312 0. 2589 0. 7481

2 .350 0.,8854 1.,0605 1,.0129 0..2315 0. 2599 0. 7485

2 .375 0,,8769 1.,0689 1..0037 0..2318 0. 2608 0. 7487

2 .400 0,,8802 1.,0777 0,.9930 0..2322 0. 2617 0. 7489

2 .425 0.,8798 1.,0806 0..9842 0..2326 0. 2624 0. 7491

2 .450 0,,8937 1,,0847 0..9763 0..2330 0. 2631 0. 7491

2 .475 0,,8953 1,,0833 0,.9703 0..2336 0. 2636 0. 7491

2 .500 0,,8942 1,,0816 0..9662 0. 2342 0. 2640 0. 7491

2 .525 0,,8961 1,,0786 0,.9627 0..2347 0. 2642 0. 7490

-222-
2 .550 .9217 1 .0757 9602 2354 2643 7489 2 .575 .9104 1 .0699 9602 2361 2643 7488 2 .600 .9156 1 .0646 9599 2367 2641 7486 2 .625 .9356 1 0597 9605 2375 2638 7484 2 650 9416 1 .0500 9631 2383 2633 7483 2 .675 9450 1 0459 9647 2390 2628 7481 2 700 9625 1 0358 9678 2399 2622 7480 2 725 9568 1 0312 9715 2407 2615 7478 2 750 9646 1 0210 9758 2415 2607 7477 2 775 9700 1 0175 9800 2423 2600 7476 2 800 9816 1 0102 9851 2431 2592 7475 2 825 9909 1 0030 9896 2440 2584 7474 2 850 9972 9996 9956 2448 2576 7474 2 875 9961 9912 0008 2456 2568 7473 2 900 1 0120 9887 0040 2464 2561 7474 2 925 1 0191 9827 0084 2472 2554 7474 2 950 1 0195 9785 0109 2479 2547 7474 2 975 1 0342 9770 0147 2487 2541 7475 3 000 1 0396 9749 0179 2495 2535 7476 3 025 1 0424 9742 0184 2502 2531 7478 3 050 1 0502 9713 0211 2509 2526 7479 3 075 1 0564 9703 0205 2516 2522 7481 3 100 1 0544 9714 0216 2522 2519 7482 3 125 1 0555 9687 0209 2528 2516 7484 3 150 1 0586 9698 0186 2533 2514 7485 3 175 1 0636 9712 0177 2538 2512 7486 3 200 1 0502 9713 0171 2542 2511 7487 3 225 1 0557 9733 0159 2546 2510 7488 3 250 1 0576 9737 0125 2549 2509 7489 3 275 1 0502 9776 0106 2552 2509 7490 3 300 1 0601 9815 0078 2554 2509 7490 3 325 1 0601 9799 0059 2556 2509 7491 3 350 1 0394 9818 0035 2557 2510 7491 3 375 1 0414 9848 0019 2557 2510 7492 3 400 1 0441 9875 9993 2557 2511 7492 3 425 1 0340 9909 9971 2556 2512 7492 3 450 1 0283 9936 9956 2554 2513 7492 3 475 1 0425 9967 9948 2553 2514 7492 3 500 1 0319 9976 9941 2551 2516 7492 3 525 1 0368 1 0000 9920 2549 2517 7492 3 550 1 0314 1 0034 9919 2546 2518 7492 3 575 1 0184 1 0050 9923 2544 2519 7492 3 600 1 0193 1 0081 9924 2540 2520 7491 3 625 1 0154 1 0090 9928 2537 2521 7491 3 650 1 0115 1 0115 9938 2534 2522 7491 3 675 1 0074 1 0122 9937 2530 2523 7491 3 700 1 0025 1 0129 9946 2526 2524 7491 3 725 9988 1 0158 9945 2523 2525 7491 3 750 9940 1 0160 9968 2519 2526 7491 3 775 9942 1 0160 9973 2515 2526 7491 3 800 9842 1 0143 9981 2512 2526 7491 3 825 9900 1 0154 9997 2508 2527 7491 3 850 9900 1 0152 0003 2505 2527 7492 3 875 9815 1 0142 0018 2502 2526 7492 3 900 9859 1 0118 0026 2499 2526 7492 3 925 9769 1 0107 0032 2496 2526 7492 3 950 9792 1 0085 0045 2493 2525 7493 3 975 9814 1 0085 0050 2491 2524 7493 4 000 1 0000 1 0000 0000 2489 2524 7493

-223
^22/^ir: 2 .00 p*= 0.143 x^=0. 5000 €22;/hr 2- 00

R* ^11 §12 §22 ^11 ^12 ^22

0.850 .0058 .0009 0.0000 1.0000 1.0000 0.0000

0.875 0,.0534 .0138 0.0021 1.0000 1.0000 0.0001

0.900 .1999 .0865 0.0268 1.0000 1.0000 0.0011

0.925 0,.4888 0,.3012 . 1449 1.0000 1.0000 0.0072

0.950 0,.8700 0,.6666 0.4377 1.0000 1.0000 0.0273

0.975 1,.2436 1 .1075 0.8776 1.0000 1.0000 0.0678

1.000 1,.5625 1,.5143 1.3405 1.0000 1.0000 0.1257

1.025 1,.7589 1,.8090 1.7016 1.0000 1.0000 0.1902

1.050 1,.8792 1,.9739 1.9265 1.0000 1.0000 0.2518

1.075 1..9097 2,.0357 1.9989 1.0000 1.0000 0.3050

1.100 1..9086 2..0172 1.9783 1.0000 1.0000 0.3485

1.125 1.,8633 1,.9629 1.8939 1.0000 1.0000 0.3830

1.150 1,.8203 1..8681 1.7821 1.0000 1.0000 0.4102

1.175 1,.7581 1,.7728 1.6552 1.0000 0.9998 0.4313

1.200 1,.6711 1,.6694 1.5296 1.0000 0.9989 0.4476

1.225 1,.5987 1..5739 1.4193 1.0000 0.9952 0.4602

1.250 1,.5434 1,,4787 1.3144 1.0000 0.9851 0.4698

1.275 1.,4816 1.,4076 1.2326 1.0000 0.9646 0.4771

1.300 1,,4287 1.,3293 1.1560 0.9998 0.9322 0.4828

1.325 1.,3668 1,,2648 1.0941 0.9989 0.8899 0.4870

1.350 1,,3179 1,,2087 1.0424 0.9961 0.8421 0.4901

1.375 1.,2739 1.,1568 0.9960 0.9891 0.7938 0.4923

1.400 1.,2388 1,,1103 0.9639 0.9753 0.7482 0.4939

1.425 1,,1904 1,,0731 0.9370 0.9532 0.7073 0.4949

1.450 1,,1701 1,,0399 0.9200 0.9227 0.6721 0.4956

1.475 1,,1413 1,,0115 0.9027 0.8855 0.6421 0.4959

1.500 1,,1058 0,,9837 0.8958 0.8446 0.6170 0.4960

1.525 1.,0767 0,,9639 0.8847 0.8026 0.5960 0.4959

1.550 1.,0564 0,,9473 0.8798 0.7622 0.5786 0.4956

1.575 1,,0315 0,,9335 0.8780 0.7247 0.5642 0.4951

1.600 1,,0152 0,,9264 0.8750 0.6910 0.5524 0.4946

1.625 1.,0069 0,,9174 0.8753 0.6611 0.5427 0.4939

1.650 0.,9827 0,,9148 0.8770 0.6350 0.5347 0.4931

1.675 0.,9722 0.,9057 0.8743 0.6124 0.5282 0.4922

1.700 0,,9618 0,,9022 0.8800 0.5927 0.5229 0.4911

1.725 0,,9568 0.,8974 0.8846 0.5759 0.5185 0.4901

1.750 0,,9431 0,,8953 0.8909 0.5614 0.5150 0.4890

1.775 0.,9393 0,,8972 0.8988 0.5489 0.5122 0.4879

1.800 0,,9217 0,,8940 0.9081 0.5382 0.5099 0.4869

1.825 0.,9213 0,,8908 0.9226 0.5290 0.5082 0.4860

1.850 0,,9179 0,,8930 0.9374 0.5210 0.5068 0.4853

1.875 0,,9084 0.,8932 0.9503 0.5143 0.5058 0.4848

1.900 0.,9069 0.,8929 0.9692 0.5084 0.5051 0.4844

1.925 0.,9036 0.,8979 0.9838 0.5034 0.5046 0.4843

1.950 0,,8980 0,,9008 1.0019 0.4990 0.5042 0.4844

1.975 0,,8987 0,,9043 1.0206 0.4954 0.5040 0.4848

2.000 0,,9020 0.,9099 1.0370 0.4923 0.5040 0.4853

2.025 0,,8989 0.,9167 1.0460 0.4897 0.5041 0.4860

2.050 0.,8978 0.,9231 1.0580 0.4875 0.5043 0.4868

2.075 0.,8950 0.,9273 1.0644 0.4857 0.5045 0.4877

2.100 0.,8940 0,,9350 1.0683 0.4843 0.5049 0.4886

2.125 0.,8943 0.,9446 1.0734 0.4831 0.5053 0.4896

2.150 0.,8926 0,,9523 1.0684 0.4821 0.5058 0.4906

2.175 0.,8936 0,,9639 1.0665 0.4814 0.5063 0.4915

2.200 0,,8861 0,,9724 1.0607 0.4808 0.5069 0.4924

2.225 0.,8961 0,,9831 1.0543 0.4804 0.5076 0.4932

2.250 0.,9011 0.,9952 1.0476 0.4803 0.5083 0.4940

2.275 0,,8894 1,,0063 1.0386 0.4802 0.5091 0.4946

2.300 0,,9014 1.,0161 1.0308 0.4803 0.5099 0.4952

2.325 0,,9003 1.,0262 1.0240 0.4804 0.5107 0.4957

2.350 0.,8988 1.,0342 1.0161 0.4807 0.5115 0.4961

2.375 0.,9015 1,,0417 1.0089 0.4809 0.5123 0.4965

2.400 0,,9084 1.,0471 1.0028 0.4813 0.5131 0.4967

2.425 0.,9087 1.,0527 1.0001 0.4817 0.5137 0.4970

2.450 0.,9092 1,,0545 0.9976 0.4822 0.5143 0.4972

2.475 0,,9155 1..0556 0.9917 0.4826 0.5148 0.4973

2.500 0.,9145 1,,0542 0.9898 0.4831 0.5152 0.4974

2.525 0,,9217 1.,0539 0.9839 0.4837 0.5155 0.4975

224
2 .550 .9195 1 0507 9831 4842 5156 0.4975 2 .575 .9228 1 0482 9815 4848 5157 0.4975 2 .600 .9339 1 0452 9826 .4854 5156 0.4975 2 .625 .9364 1 0401 9801 4861 5154 0.4974 2 .650 9418 1 0361 9803 4868 5150 0.4974 2 .675 .9494 1 0311 9835 4875 5145 0.4973 2 .700 9510 1 0263 9838 4882 5140 0.4973 2 .725 9584 1 0214 9848 4889 5134 0.4972 2 .750 9604 1 0190 9865 4897 5128 0.4972 2 .775 9722 1 0130 9884 4904 5121 0.4971 2 .800 9767 1 0120 9898 4912 5114 0.4971 2 .825 9843 1 0044 9919 4920 5106 0.4971 2 .850 9921 1 0042 9946 4929 5099 0.4970 2 875 9981 1 0007 9952 4937 5092 0.4971 2 900 1 0026 9964 9985 4946 5085 0.4971 2 925 1 0086 9955 1 0019 4954 5078 0.4971 2 950 1 0183 9926 1 0019 4962 5072 0.4972 2 975 1 0177 9904 1 0047 4971 5066 0.4972 3 000 1 0263 9888 1 0066 4979 5060 0.4973 3 025 1 0295 9863 1 0081 4987 5055 0.4974 3 050 1 0392 9878 1 0099 4994 5051 0.4975 3 075 1 0382 9844 1 0100 5002 5047 0.4976 3 100 1 0420 9838 1 0110 5009 5043 0.4978 3 125 1 0438 9837 1 0101 5016 5040 0.4979 3 150 1 0410 9849 1 0110 5022 5037 0.4980 3 175 1 0434 9834 1 0123 5028 5035 0.4981 3 200 1 0459 9843 1 0108 5033 5033 0.4982 3 225 1 0456 9838 1 0105 5038 5031 0.4983 3 250 1 0440 9859 1 0079 5042 5029 0.4984 3 275 1 0437 9872 1 0075 5046 5028 0.4985 3 300 1 0431 9869 1 0069 5049 5027 0.4986 3 325 1 0414 9876 1 0054 5052 5026 0.4986 3 350 1 0434 9903 1 0048 5054 5026 0.4987 3 375 1 0367 9898 1 0045 5056 5025 0.4988 3 400 1 0351 9924 1 0025 5056 5025 0.4988 3 425 1 0316 9927 1 0011 5057 5025 0.4988 3 450 1 0361 9948 1 0022 5056 5025 0.4989 3 475 1 0299 9961 9996 5056 5025 0.4989 3 500 1 0271 9964 9994 5055 5026 0.4989 3 525 1 0231 9988 9993 5053 5026 0.4989 3 550 1 0236 1 0006 9982 5051 5027 0.4990 3 575 1 0196 1 0005 9984 5049 5027 0.4990 3 600 1 0168 1 0021 9980 5047 5027 0.4990 3 625 1 0131 1 0041 9984 5044 5028 0.4990 3 650 1 0121 1 0050 9998 5041 5028 0.4990 3 675 1 0129 1 0059 9988 5038 5029 0.4990 3 700 1 0107 1 0055 9991 5035 5029 0.4990 3 725 1 0072 1 0061 9999 5032 5029 0.4991 3 750 1 0060 1 0056 9997 5029 5029 0.4991 3 775 1 0008 1 0066 1 0007 5026 5030 0.4991 3 800 1 0013 1 0054 9995 5023 5030 0.4991 3 825 9982 1 0063 1 0009 5020 5029 0.4991 3 850 9993 1 0055 1 0007 5017 5029 0.4992 3 875 1 0005 1 0061 1 0007 5014 5029 0.4992 3 900 9954 1 0057 1 0020 5011 5029 0.4992 3 925 9939 1 0058 1 0013 5009 5029 0.4992 3 950 9933 1 0063 1 0011 5006 5028 0.4992 3 975 9927 1 0066 1 0032 5004 5028 0.4993 4 000 1 0000 1 0000 1 0000 5002 5027 0.4993

225
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-3

Ja^^= 2.00 p*- 0.174 x,= 0.7500 e__/e,,= 2.00 22' 11 22' 11

R* Sll ^12 §22 ^11 ^12 ^22

.850 .0057 .0006 .0000 1.0000 1 .0000 .0000

.875 .0441 .0111 .0011 1.0000 1 .0000 .0000

.900 .1689 .0713 .0192 1.0000 1 .0000 .0003

.925 .4129 .2415 .1023 1.0000 1 .0000 .0019

.950 .7352 .5486 .3246 1.0000 1 .0000 .0075

.975 1 .0567 .9193 .6607 1.0000 1 .0000 .0196

1 .000 1 .3333 1 .2654 1 .0453 1.0000 1 .0000 .0384

1 .025 1 .5304 1 .5340 1 .3583 1.0000 1 .0000 .0621

1 .050 1 .6511 1 .6965 1 .5658 1.0000 1 .0000 .0873

1 .075 1 .7086 1 .7742 1 .6834 1.0000 1 .0000 .1118

1 .100 1 .7064 1 .7860 1 .6934 1.0000 1 .0000 .1340

1 .125 1,.6891 1 .7490 1 .6578 1.0000 1 .0000 .1531

1 .150 1 .6383 1 .6897 1 .5961 1.0000 1 .0000 .1692

1 .175 1,.5970 1 .6222 1 .5150 1.0000 1 .0000 .1826

1 .200 1,.5453 1 .5467 1 .4311 1.0000 .9997 .1935

1 .225 1,.4882 1 .4697 1 .3490 1.0000 .9987 .2023

1 .250 1,,4450 1 .4079 1 .2727 1.0000 .9960 .2092

1 .275 1,,3853 1 .3392 1 .2118 1.0000 .9901 .2148

1 .300 1,,3484 1 .2858 1 .1585 0.9999 .9804 .2193

1 .325 1,,3038 1 .2360 1 .1102 0.9997 .9669 .2228

1 .350 1.,2614 1 .1932 1 .0755 0.9988 .9501 .2256

1,.375 1.,2333 1,.1520 1 .0480 0.9967 .9317 .2279

1,,400 1,,1950 1,.1193 1 .0268 0.9926 .9127 .2298

1,.425 1,,1700 1,.0867 1,.0119 0.9857 .8942 .2314

1,.450 1,,1392 1,.0671 0,.9992 0.9758 .8767 0,.2328

1.,475 1,,1201 1,.0439 0,.9958 0.9631 .8609 0,.2341

1,,500 1,,0976 1,.0282 0,.9908 0.9482 .8469 0,.2352

1,,525 1.,0754 1,.0143 .9863 0.9319 0..8345 0,.2362

1,,550 1,,0591 1..0009 0,.9914 0.9150 0,.8238 0,,2372

1,,575 1.,0458 0,,9946 0.,9885 0.8982 0,.8145 0,,2381

1,,600 1,,0308 0,,9847 0.,9862 0.8820 0,.8065 0..2388

1,,625 1,,0213 0,,9857 0.,9866 0.8669 0,.7997 0.,2396

1,,650 1.,0037 0.,9827 0,,9776 0.8528 0,,7940 0,,2401

1,,675 0.,9969 0,,9808 0,,9723 0.8400 0.,7893 0.,2406

1.,700 0.,9905 0,,9768 0,,9726 0.8285 0.,7852 0,,2410

1,,725 0.,9767 0.,9768 0.,9713 0.8182 0,,7818 0,,2412

1,,750 0.,9771 0,,9757 0,,9722 0.8089 0,,7789 0,,2415

1,,775 0.,9706 0,,9736 0,,9664 0.8008 0,,7765 0,,2416

1.,800 0..9649 0,,9702 0,,9675 0.7935 0,,7744 0,,2417

1,,825 0.,9616 0,,9682 0.,9653 0.7872 0.,7726 0,,2417

1,,850 0.,9590 0,,9682 0.,9668 0.7816 0,,7711 0.,2417

1.,875 0.,9603 0.,9634 0,,9717 0.7767 0,,7698 0,.2417

1,,900 0.,9594 0,,9607 0,,9737 0.7724 0..7686 0..2418

1,,925 0..9556 0,,9596 0.,9804 0.7687 0..7675 0..2418

1.,950 0.,9555 0,,9586 0.,9908 0.7655 0,.7665 0..2419

1,,975 0..9577 0,,9568 0.,9937 0.7627 0,.7656 0. 2421

2.,000 0..9554 0,,9567 0,.9983 0.7602 0..7648 0..2423

2,,025 0..9591 0,,9551 1..0044 0.7581 0..7640 0. 2426

2,,050 0..9556 0..9567 1..0105 0.7563 0. 7633 0. 2428

2,,075 0..9561 0..9589 1..0175 0.7547 0. 7626 0. 2432

2,,100 0..9564 0,.9599 1. 0185 0.7534 0. 7619 0. 2435

2,,125 0..9570 0,.9618 1..0254 0.7523 0. 7613 0. 2438

2,,150 0..9582 0,.9639 1. 0238 0.7514 0. 7608 0. 2442

2,,175 0..9551 0,.9678 1. 0246 0.7506 0. 7603 0. 2445

2,,200 0..9545 0..9703 1. 0203 0.7499 0. 7599 0. 2448

2,,225 0..9567 0,.9746 1. 0213 0.7493 0. 7595 0. 2451

2,,250 0..9546 0..9785 1. 0197 0.7489 0. 7592 0. 2454

2,,275 0..9576 0..9839 1. 0187 0.7485 0. 7590 0. 2457

2,,300 0..9543 0. 9881 1. 0159 0.7482 0. 7588 0. 2459

2.,325 0. 9556 0..9915 1. 0149 0.7480 0. 7586 0. 2461

2.,350 0. 9524 0..9974 1. 0110 0.7477 0. 7585 0. 2463

2,,375 0. 9536 0..9989 1. 0059 0.7476 0. 7584 0. 2465

2.,400 0. 9491 .0038 1. 0066 0.7474 0. 7583 0. 2466

2,,425 0..9557 .0075 1. 0048 0.7473 0. 7583 0. 2468

2,,450 0. 9550 .0096 0. 9995 0.7472 0. 7583 0. 2469

2,,475 0. 9550 0112 1. 0028 0.7471 0. 7583 0. 2470

2,,500 0. 9565 0120 0. 9985 0.7471 0. 7583 0. 2471

2.,525 0. 9553 0112 0. 9981 0.7470 0. 7582 0. 2472

226-
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.125

2.750

2.775

2.800

2.825

2.850

2.875

2.900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

3.300

3.325

3.350

3.375

3.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

,750

,775

,800

,825

,850

3.875

3.900

3.925

3.950

3.975

4.000

0.9565

0.9569

0.9572

0.9606

0.9614

0.9654

0.9654

0.9666

0.9718

0.9727

0.9769

0.9790

0.9820

0.9843

0.9893

0.9918

0.9932

0.9969

0.9984

1.0033

1.0047

1.0073

1.0095

,0106

,0128

,0143

,0152

,0151

,0142

,0165

,0150

0160

,0173

,0154

1.0136

1.0128

1.0134

1.0117

1.0140

1.0107

1.0098

0117

0100

0090

0081

0086

0063

1.0070

1.0050

1.0035

1.0054

1.0054

1.0046

,0144

.0138

,0119

,0117

.0090

,0095

,0080

,0065

,0058

,0064

1.0043

1.0046

0044

0045

0044

0016

0013

0.9994

1.0015

1.0025

1.0013

1.0016

1.0011

0.9996

0.9991

1.0010

1.0013

0.9985

0.9997

0.9994

0.9986

0.9995

1.0012

0.9987

0.9989

1.0002

0.9989

1.0006

0.9995

1.0005

0.9996

1.0002

1.0010

1.0013

1.0004

1.0008

1.0012

1.0010

1.0024

1.0006

0042

0043

0028

0038

0015

0000

,0007

0006

,0009

,0017

,0028

1.0011

1.0012

1.0020

1.0000

0.9965

1.0010

0.9960

0.9982

1.0014

0.9993

0.9995

1.0010

0.9987

1.0004

0.9978

0.9982

0.9993

0.9983

1.0020

1.0021

1.0034

1.0026

1.0038

1.0018

1.0044

1.0055

1.0057

1.0060

1.0049

1.0051

1.0044

1.0039

1.0025

1.0038

1.0034

1.0031

1.0054

1.0021

1.0001

1.0002

1.0039

1.0007

1.0027

1.0035

1.0032

1.0035

0.9995

1.0003

1.0010

1.0013

1.0000

1.0002

1.0024

1.0032

1.0037

1.0038

1.0016

1.0035

1.0019

1.0026

1.0014

1.0021

1.0000

0.7470

0.7470

0.7469

0.7469

0.7469

0.7470

0.7470

0.7471

0.7472

0.7473

0.7474

0.7475

0.7477

0.7478

0.7480

0.7482

0.7485

0.7487

0.7489

0.7491

0.7494

0.7496

0.7499

0.7501

0.7503

0.7506

0.7508

0.7510

0.7512

0.7514

0.7515

0.7517

0.7518

0.7520

0.7521

0.7521

0.7522

0.7522

0.7523

0.7523

0.7523

0.7523

0.7523

0.7522

0.7522

0.7522

0.7521

0.7520

0.7520

0.7519

0.7518

0.7518

0.7517

0.7516

0.7516

0.7515

0.7515

0.7514

0.7514

0.7582

0.7582

0.7581

0.7579

0.7578

0.7576

0.7574

0.7572

0.7570

0.7568

0.7565

0.7563

0.7560

0.7557

0.7555

0.7552

0.7550

0.7548

0.7546

0.7544

0.7542

0.7540

0.7539

0.7537

0.7536

0.7535

0.7534

0.7532

0.7532

0.7531

0.7530

0.7529

0.7529

0.7528

0.7527

0.7527

0.7526

0.7526

0.7525

0.7525

0.7524

0.7524

0.7523

0.7523

0.7523

0.7522

0.7522

0.7521

0.7521

0.7521

0.7520

0.7520

0.7520

0.7519

0.7519

0.7519

0.7518

0.7518

0.7517

0.2473

0.2473

0.2474

0.2475

0.2475

0.2476

0.2477

0.2477

0.2478

0.2478

0.2479

0.2479

0.2480

0.2480

0.2481

0.2481

0.2482

0.2482

0.2483

0.2483

0.2484

0.2484

0.2485

0.2486

0.2486

0.2487

0.2487

0.2488

0.2488

0.2489

0.2489

0.2489

0.2490

0.2490

0.2490

0.2491

0.2491

0.2491

0.2491

0.2492

0.2492

0.2492

0.2493

0.2493

0.2493

0.2493

0.2493

0.2493

0.2494

0.2494

0.2494

0.2494

0.2495

0.2495

0.2495

0.2495

0.2495

0.2495

0.2496

227
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . o*~ 0.176 X,- 0.9001 e,_/c_- 2.00 ^22/''ir ^-^^ 22' 11

R* Hi ^12 §22 ^11 ^12 ^22

0,.850 0,,0046 .0004 .0000 1,.0000 1 .0000 0.0000

0,.875 0,.0363 .0092 .0016 1,.0000 1 .0000 0.0000

0,.900 0,.1411 .0580 .0151 1,.0000 1 .0000 0.0001

0,.925 0,.3491 .2015 .0839 1 .0000 1 .0000 0.0006

0..950 0,.6239 .4637 .2739 1 .0000 1 .0000 0.0023

0,.975 0,,9168 0,.7898 .5672 1 .0000 1 .0000 0.0061

1,.000 1,,1640 1,,0990 .9019 1,.0000 1 .0000 0.0121

1,.025 1,.3375 1,.3456 1 .2117 1 .0000 1 .0000 0.0201

1,.050 1..4614 1 .5077 1,.4167 1 .0000 1 .0000 0.0291

1..075 1,.5187 1,.5965 1 .5282 1 .0000 1 .0000 0.0381

1,.100 1,.5360 1,.6199 1 .5762 1 .0000 1 .0000 0.0466

1,.125 1,.5242 1,.5993 1 .5678 1 .0000 1 .0000 0.0543

1,.150 1..4997 1,.5648 1 .5150 1 .0000 1 .0000 0.0609

1,.175 1,.4605 1,,5094 1,.4693 1,.0000 1 .0000 0.0666

1,.200 1,,4224 1..4523 1 .4139 1,.0000 .9999 0.0714

1,.225 1,,3791 1,.3953 1 .3447 1,.0000 .9996 0.0755

1,.250 1.,3387 1,.3400 1 .2967 1 .0000 .9988 0.0788

1..275 1,,3013 1,,2868 1,.2445 1,.0000 .9970 0.0815

1..300 1,,2658 1,,2440 1,.1948 1,.0000 .9939 0.0837

1,,325 1.,2351 1,,2037 1,,1591 0,,9999 .9896 0.0855

1,.350 1,,2036 1,,1685 1,,1269 0,,9996 .9841 0.0870

1,.375 1,.1771 1,,1358 1,,1013 0,,9990 .9777 0.0883

1.,400 1.,1515 1.,1067 1,,0949 0,,9978 0,.9709 0.0893

1.,425 1,,1306 1,,0871 1,,0868 0,,9956 .9642 0.0903

1,,450 1,,1067 1,,0685 1,,0850 0,,9925 ,9576 0.0912

1.,475 1,,0890 1,,0523 1,.0790 0,,9884 ,9514 0.0921

1,,500 1,,0766 1,,0411 1,.0694 0,,9835 0,.9457 0.0928

1,.525 1,,0589 1.,0262 1,,0686 0.,9780 0,.9406 0.0935

1,,550 1.,0433 1,,0264 1.,0646 0,,9722 0,.9361 0.0941

1.,575 1,,0322 1,,0182 1.,0671 0.,9662 ,9321 0.0947

1,.600 1,,0198 1.,0135 1.,0795 0.,9602 0,,9286 0.0953

1,,625 1,,0150 1,,0133 1.,0743 0,,9545 0,,9255 0.0959

1.,650 1,.0094 1,,0168 1,,0672 0,.9490 0,,9228 0.0964

1,,675 1,,0026 1.,0131 1.,0498 0,.9440 0,,9205 0.0968

1,,700 0,,9979 1,,0152 1.,0478 0,,9393 0.,9185 0.0972

1,,725 0,,9901 1,,0135 1,,0403 0..9351 0,,9168 0.0975

1.,750 0,,9862 1,,0135 1,,0387 0,,9312 0.,9153 0.0978

1.,775 0,,9845 1,,0102 1,,0466 0,.9278 0.,9141 0.0980

1.,800 0,,9850 1.,0126 1,,0406 0,.9246 0,,9130 0.0983

1,,825 0,,9799 1,,0079 1,,0301 0,.9219 0,,9120 0.0985

1,,850 0,,9815 1,,0091 1..0207 0,.9194 0,,9112 0.0986

1,,875 0,.9778 1,,0074 1..0233 0..9172 0,,9104 0.0988

1.,900 0,.9800 1,,0019 1,.0217 0..9152 0,,9097 0.0989

1.,925 0,.9838 1,,0022 1,.0247 0,.9135 0..9090 0.0990

1.,950 0,,9837 0,,9999 1..0107 0,.9120 0..9084 0.0991

1.,975 0..9849 0,,9968 1,.0188 0,.9107 0,.9078 0.0992

2,,000 0,,9847 0..9936 1..0199 0,.9096 0..9072 0.0992

2.,025 0,.9849 0,.9928 1..0229 0,.9086 0..9067 0.0993

2.,050 0..9893 0..9943 1,.0245 0,,9077 0,.9062 0.0994

2.,075 0.,9877 0,.9889 1,.0286 0.,9069 0.,9057 0.0995

2.,100 0,.9903 0,.9880 1..0246 0,,9063 0.,9053 0.0996

2.,125 0,,9891 0..9894 1..0227 0.,9057 0.,9048 0.0997

2.,150 0.,9906 0,.9902 1,.0300 0.,9052 0.,9044 0.0998

2.,175 0,,9897 0..9907 1..0279 0.,9047 0. 9040 0.0999

2.,200 0,,9918 0..9891 1..0263 0.,9044 0.,9036 0.0999

2.,225 0,,9906 0,.9912 1..0208 0.,9040 0.,9033 0.1000

2,,250 0,,9902 0..9913 1,,0163 0.,9037 0. 9030 0.1001

2,,275 0,,9880 0,.9925 1,,0156 0.,9035 0. 9027 0.1001

2.,300 0,,9897 0..9935 1.,0169 0. 9033 0. 9025 0.1001

2.,325 0,.9885 0,.9957 1.,0135 0. 9030 0. 9023 0.1002

2,,350 0,,9887 0..9963 1.,0120 0. 9028 0. 9021 0.1002

2,,375 0.,9870 0,.9984 1.,0075 0. 9027 0. 9019 0.1002

2.,400 0,,9861 0..9987 1.,0103 0. 9025 0. 9017 0.1002

2,,425 0,.9872 0..9975 1. 0054 0. 9024 0. 9015 0.1002

2.,450 0..9851 1..0013 1. 0060 0. 9022 0. 9014 0.1002

2,,475 0.,9863 1,,0004 1.,0049 0. 9021 0. 9013 0.1002

2.,500 0..9870 1.,0000 1. 0049 0. 9019 0. 9012 0.1002

2,,525 0,.9848 1..0003 1. 0074 0. 9018 0. 9011 0.1002

-228
2 .550 0.9855 1.0012 1 .0004 .9017 .9011 .1002

2 .575 0.9860 1.0024 1 .0069 .9016 .9010 .1002

2 .600 0.9857 1.0021 1 .0064 .9015 .9009 .1002

2 .625 0.9856 1.0023 1 .0043 .9013 .9009 .1002

2 .650 0.9846 1.0003 .9978 .9012 .9008 .1002

2 .675 0.9863 1.0031 1 .0002 .9011 .9007 .1002

2 .700 0.9886 1.0039 1 .0116 .9011 .9007 .1002

2 .725 0.9872 1.0032 1 .0005 .9010 .9006 .1002

2 .750 0.9857 1.0016 .9999 .9009 .9005 .1002

2 .775 0.9856 0.9998 1 .0041 .9008 .9005 .1002

2 .800 0.9875 0.9998 1 .0019 .9007 .9004 .1002

2 .825 0.9897 1.0021 1 .0044 .9007 .9003 .1002

2 .850 0.9884 1.0012 1 .0053 .9006 .9003 .1002

2 .875 0.9924 1.0022 1 .0045 .9006 0,.9002 .1002

2 .900 0.9909 1.0021 1 .0045 .9006 0,.9001 .1002

2 .925 0.9922 0.9988 1 .0037 .9005 0,.9001 .1002

2 .950 0.9956 1.0004 1 .0000 0,.9005 0,.9000 0,.1002

2 .975 0.9959 1.0019 1 .0022 .9005 0,.9000 0,.1002

3 .000 0.9962 1.0017 1 .0005 0,.9005 0..8999 0,.1001

3 .025 0.9971 1.0003 1,.0039 0,.9005 0..8999 0,.1001

3 .050 0.9976 1.0009 1,.0037 0,.9005 0.,8999 .1001

3 .075 0.9978 1.0013 1,.0055 0,.9005 0,.8999 0,.1001

3,.100 0.9989 1.0025 1,.0008 0,.9005 0,,8998 0..1001

3 .125 1.0003 0.9995 1,.0054 0,.9005 0,.8998 0,.1001

3,.150 1.0005 1.0011 1..0048 0,.9005 0,.8998 0..1001

3..175 1.0010 1.0018 1,.0057 0,.9005 0,,8998 0,.1002

3,.200 1.0017 1.0032 1,.0030 0.,9006 0.,8998 0,.1002

3..225 1.0027 1.0007 1,.0033 0,.9006 0,,8998 0..1002

3,.250 1.0016 1.0015 1,.0040 0.,9006 0,,8998 0.,1002

3,,275 1.0017 1.0014 1.,0016 0,,9006 0,,8998 0,,1002

3,,300 1.0030 1.0034 1.,0010 0,,9006 0.,8998 0,,1002

3,,325 1.0028 1.0006 0,.9998 0,,9006 0,,8998 0,,1001

3,,350 1.0038 1.0012 0,,9981 0.,9007 0,,8998 0,,1001

3.,375 1.0017 1.0014 1,,0015 0,,9007 0.,8998 0,,1001

3.,400 1.0021 1.0012 1,,0010 0,,9007 0.,8998 0,,1001

3.,425 1.0016 1.0031 0,,9945 0,,9007 0.,8998 0,,1001

3,,450 1.0024 1.0012 0.,9995 0.,9007 0. 8998 0.,1001

3.,475 1.0030 1.0030 1.,0022 0,,9007 0. 8998 0.,1001

3.,500 1.0019 1.0016 1.,0055 0.,9007 0. 8998 0.,1001

3,,525 1.0022 1.0014 1.,0022 0.,9007 0. 8998 0,,1001

3.,550 1.0014 1.0011 1,,0006 0.,9007 0. 8998 0.,1001

3.,575 1.0024 1.0005 1.,0015 0.,9007 0. 8998 0.,1001

3.,600 1.0014 1.0007 0.,9958 0. 9007 0. 8998 0. 1001

3.,625 1.0018 1.0013 1.,0064 0. 9007 0. 8998 0. 1001

3.,650 1.0016 1.0010 0.,9984 0. 9007 0. 8998 0. 1001

3.,675 1.0017 1.0000 1.,0016 0. 9007 0. 8998 0. 1001

3.,700 1.0005 1.0013 0.,9996 0. 9007 0. 8998 0. 1001

3.,725 1.0003 1.0002 1.,0026 0. 9006 0. 8998 0. 1001

3.,750 1.0016 1.0016 0. 9981 0. 9006 0. 8998 0. 1001

3.,775 1.0019 1.0012 0.,9991 0. 9006 0. 8998 0. 1001

3. 800 1.0003 1.0000 1. 0017 0. 9006 0. 8998 0. 1001

3. 825 1.0004 1.0007 1. 0002 0. 9006 0. 8998 0. 1001

3. 850 1.0029 1.0015 1. 0032 0. 9006 0. 8998 0. 1001

3. 875 1.0022 1.0010 1. 0014 0. 9006 0. 8998 0. 1001

3. 900 1.0012 1.0008 0. 9981 0. 9006 0. 8998 0. 1001

3. 925 1.0008 1.0012 0. 9994 0. 9006 0. 8998 0. 1000

3. 950 1.0008 1.0010 0. 9969 0. 9006 0. 8998 0. 1000

3. 975 1.0008 1.0019 1. 0005 0. 9006 0. 8999 0. 1000

4. 000 1.0000 1.0000 1. 0000 0. 9005 0. 8999 0. 1000

229-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . '^^i^^rC ^"^^ ^*" ^.yi\ x^= 0.9502 ^22/^11' 2.00

R* Sll ^12 ^22 ^11 ^12 ^22

.850 .0043 0.0005 0.0000 1.0000 1 .0000 0.0000

.875 .0344 0.0082 0.0013 1.0000 1 .0000 0.0000

.900 .1334 0.0556 0.0127 1.0000 1 .0000 0.0000

.925 .3302 0.1951 0.0778 1.0000 1 .0000 0.0003

.950 .5946 0.4392 0.2645 1.0000 1 .0000 0.0011

0,.975 .8739 0.7502 0.5453 1.0000 1 .0000 0.0028

1,.000 1 .1137 1.0559 0.8466 1.0000 1 .0000 0.0056

1,.025 1 .2879 1.2978 1.1586 1.0000 1 .0000 0.0093

1,.050 1 .3960 1.4526 1.3565 1.0000 1 .0000 0.0136

1,.075 1 .4589 1.5325 1.4605 1.0000 1 .0000 0.0179

1,.100 1 .4795 1.5667 1.5325 1.0000 1 .0000 0.0220

1,.125 1 .4732 1.5580 1.5209 1.0000 1 .0000 0.0258

1,,150 1 .4489 1.5191 1.4840 1.0000 1 .0000 0.0291

1.,175 1 .4211 1.4761 1.4463 1.0000 1 .0000 0.0319

1,,200 1 .3804 1.4254 1.3779 1.0000 1 .0000 0.0344

1.,225 1 .3448 1.3669 1.3360 1.0000 .9998 0.0364

1.,250 1 .3103 1.3189 1.2808 1.0000 .9995 0.0381

1,,275 1,.2758 1.2717 1.2533 1.0000 .9986 0.0396

1..300 1 .2460 1.2324 1.1735 1.0000 .9972 0.0407

1,,325 1 .2115 1.1926 1.1797 1.0000 .9952 0.0417

1..350 1 .1843 1.1614 1.1337 0.9998 .9926 0.0425

1..375 1 .1588 1.1349 1.1079 0.9995 .9896 0.0432

1,.400 1 .1359 1.1059 1.0925 0.9990 .9864 0.0438

1,.425 1,.1153 1.0888 1.0923 0.9980 0,.9832 . 0443

1,.450 1,.0973 1.0645 1.1021 0.9965 0,.9801 . 0448

1,.475 1,.0803 1.0558 1.1127 0.9946 0,.9770 0.0453

1..500 1,.0629 1.0437 1.1054 0.9923 0,,9742 0.0458

1,.525 1,.0529 1.0364 1.0910 0.9897 0,.9717 0.0462

1,.550 1,.0419 1.0286 1.0907 0.9869 0,.9694 0.0465

1..575 1,,0287 1.0264 1.1019 0.9840 0,.9674 0.0469

1,.600 1,,0181 1.0192 1.0990 0.9812 0,.9656 0.0473

1..625 1,,0141 1.0220 1.0858 0.9784 0.,9641 0.0476

1..650 1,,0067 1.0210 1.0805 0.9758 0.,9627 0.0478

1..675 1.,0038 1.0196 1.0737 0.9733 0.,9615 0.0481

1.,700 0,,9979 1.0206 1.0849 0.9710 0,,9604 0.0483

1,.725 0.,9915 1.0214 1.0787 0.9688 0,,9595 0.0486

1,.750 0,,9919 1.0228 1.0658 0.9669 0,,9588 0.0488

1.,775 0.,9889 1.0190 1.0680 0.9652 0,.9581 0.0490

1..800 0,,9865 1.0210 1.0560 0.9636 0..9575 0.0491

1..825 0,.9871 1.0214 1.0546 0.9622 0,.9569 0.0492

1..850 0..9865 1.0221 1.0454 0.9609 0..9565 0.0494

1,.875 0..9869 1.0189 1.0466 0.9598 0,.9561 0.0495

1,,900 0,.9873 1.0136 1.0287 0.9588 0,.9557 0.0496

1.,925 0,.9892 1.0161 1.0243 0.9579 0..9553 0.0496

1.,950 0,.9895 1.0130 1.0324 0.9571 0..9550 0.0497

1.,975 0,.9923 1.0091 1.0134 0.9565 0..9546 0.0497

2.,000 0..9943 1.0109 1.0045 0.9559 0.,9542 0.0497

2.,025 0,.9939 1.0082 1.0278 0.9553 0. 9539 0.0497

2.,050 0,.9964 1.0058 1.0122 0.9549 0. 9536 0.0498

2,,075 0,.9982 1.0037 1.0165 0.9544 0. 9534 0.0498

2.,100 0.,9986 1.0033 1.0309 0.9541 0,,9531 0.0498

2,,125 0,.9983 1.0060 1.0254 0.9538 0. 9528 0.0499

2,,150 0,.9988 1.0022 1.0210 0.9535 0. 9526 0.0499

2.,175 1,.0001 1.0010 1.0151 0.9533 0. 9524 0.0499

2,,200 0..9997 0.9979 1.0109 0.9531 0. 9522 0.0500

2,,225 0,.9984 0.9992 1.0090 0.9529 0. 9520 0.0500

2,,250 1..0005 1.0010 1.0161 0.9527 0. 9518 0.0500

2,,275 1..0007 0.9988 1.0248 0.9526 0. 9516 0.0500

2,,300 0..9973 0.9990 1.0122 0.9524 0. 9514 0.0500

2,,325 0.,9993 0.9994 1.0126 0.9523 0. 9513 0.0500

2,,350 0.,9985 1.0020 1.0145 0.9522 0. 9511 0.0500

2,,375 0.,9962 0.9998 1.0162 0.9521 0. 9510 0.0500

2.,400 0.,9968 1.0002 1.0161 0.9520 0. 9509 0.0501

2,,425 0,,9968 0.9994 1.0178 0.9519 0. 9508 0.0501

2,,450 0.,9951 1.0010 1.0246 0.9518 0. 9507 0.0501

2,,475 0.,9951 1.0005 1.0202 0.9517 0. 9506 0.0501

2,,500 0.,9945 0.9998 1.0180 0.9516 0. 9505 0.0501

2,.525 0.,9938 0.9993 1.0240 0.9516 0. 9505 0.0502

230
2 .550 .9951 1 0025 1 .0217 9515 9504 0502 2 .575 .9934 1 0024 1 .0227 9514 9504 0502 2 .600 9946 1 0025 1 .0227 9513 9503 0502 2 .625 .9953 1 0002 1 .0230 9513 9503 0502 2 .650 .9932 1 0017 1 .0227 9512 9503 0503 2 675 9944 1 0012 1 .0184 9511 9503 0503 2 700 9937 1 0006 1 .0113 9511 9503 0503 2 725 9947 9996 1 .0098 9510 9502 0503 2 750 9932 1 0003 1 0110 9510 9502 0503 2 775 9943 1 0015 1 0181 9509 9502 0503 2 800 9945 1 0017 1 0248 9508 9502 0503 2 825 9947 1 0033 1 0202 9508 9501 0503 2 850 9958 1 0021 1 0178 9508 9501 0503 2 875 9962 1 0032 1 0099 9507 9501 0503 2 900 9975 1 0039 1 0085 9507 9501 0503 2 925 9969 1 0028 1 0107 9506 9501 0503 2 950 9969 1 0031 1 0044 9506 9500 0503 2 975 9977 1 0030 1 0144 9506 9500 0503 3 000 9990 1 0029 1 0219 9506 9500 0503 3 025 9989 1 0033 1 0156 9505 9500 0503 3 050 9998 1 0041 1 0291 9505 9500 0503 3 075 9995 1 0032 1 0188 9505 9500 0504 3 100 9997 1 0021 1 0208 9505 9500 0504 3 125 1 0002 9997 1 0149 9505 9500 0504 3 150 1 0007 9990 1 0164 9505 9500 0504 3 175 1 0000 1 0006 1 0091 9505 9500 0504 3 200 9994 1 0005 1 0088 9505 9499 0504 3 225 1 0005 1 0000 1 0149 9504 9499 0504 3 250 1 0005 9995. 1 0069 9504 9499 0504 3 275 1 0008 1 0002 1 0106 9504 9499 0504 3 300 1 0010 1 0002 1 0162 9504 9499 0504 3 325 1 0010 9990 1 0146 9504 9499 0504 3 350 1 0017 1 0001 1 0163 9504 9499 0504 3 375 1 0014 9997 1 0098 9504 9498 0504 3 400 1 0017 1 0001 1 0151 9504 9498 0504 3 425 1 0015 9995 1 0061 9504 9498 0504 3 450 1 0017 1 0008 1 0031 9504 9498 0504 3 475 1 0008 9995 1 0041 9504 9498 0504 3 500 1 0020 1 0001 1 0066 9504 9498 0504 3 525 1 0001 1 0016 1 0101 9504 9498 0504 3 550 1 0013 9992 1 0063 9504 9497 0503 3 575 1 0014 9997 1 0044 9504 9497 0503 3 600 1 0009 1 0010 1 0105 9504 9497 0503 3 625 1 0000 1 0021 1 0099 9504 9497 0503 3 650 1 0011 1 0006 1 0100 9504 9497 0503 3 675 1 0019 1 0010 1 0067 9504 9497 0503 3 700 1 0003 1 0012 1 0090 9504 9497 0503 3 725 1 0012 9995 1 0022 9504 9497 0503 3 750 1 0008 1 0008 9973 9504 9497 0503 3 775 1 0009 1 0006 1 0014 9504 9497 0503 3 800 1 0013 9993 1 0074 9504 9497 0503 3 825 1 0017 9996 1 0066 9504 9497 0503 3 850 1 0005 1 0000 1 0048 9504 9497 0503 3 875 1 0006 9988 1 0021 9504 9497 0503 3 900 1 0002 9999 1 0073 9503 9497 0503 3 925 1 0004 9997 1 0104 9503 9497 0503 3 950 1 0011 1 0010 1 0099 9503 9497 0503 3 975 1 0009 1 0000 1 0096 9503 9497 0503 4 000 1 0000 1 0000 1 0000 9503 9497 0503

-231-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-3 . ^^22/^11== 2 .00 p*- 0.107 x,-0. 0498 e^.

2.1,A,l- 3. 00

R* Sll ^12 §22 hi ^12 ^22

0.850 .0128 .0002 0.0000 1.0000 1.0000 0.0000

0.875 .0543 .0079 0.0001 1.0000 1.0000 0.0001

0.900 .2939 .0620 0.0050 1.0000 1.0000 0.0025

0.925 .5728 .2693 0.0593 1.0000 1.0000 0.0352

0.950 1 .0502 .7093 0.2961 1.0000 1.0000 0.1920

0.975 1 .5077 1 .2910 0.8229 1.0000 1.0000 0.4669

1.000 1 .7615 1 .8555 1.5336 1.0000 1.0000 0.6866

1.025 2 .1145 2 .2630 2.1740 1.0000 1.0000 0.8071

1.050 2 .1450 2 .4828 2.5708 1.0000 1.0000 0.8689

1.075 2 .1644 2 .5353 2.6980 1.0000 1.0000 0.9020

1.100 2 .1416 2 .4679 2.6167 1.0000 1.0000 0.9211

1.125 2 .0219 2 .3505 2.4240 1.0000 1.0000 0.9327

1.150 .9542 2 .1748 2.1799 1.0000 1.0000 0.9402

1.175 .8267 2 .0069 1.9336 1.0000 0.9999 0.9452

1.200 .7177 1 .8373 1.7045 1.0000 0.9975 0.9487

1.225 .6098 1 .6920 1.5008 1 . 0000 0.9801 0.9510

1.250 .6274 1 .5501 1.3296 1.0000 0.9077 0.9527

1.275 .612(" 1 .4201 1.1859 0.9999 0.7439 0.9538

1.300 .3610 1 .3230 1.0664 0.9982 0.5331 0.9545

1.325 .4379 1,.2267 0.9694 0.9893 0.3580 0.9549

1.350 .2646 1,.1449 0.8889 0.9565 0.2431 0.9551

1.375 .2521 1,.0722 0.8255 0.8715 0.1734 0.9552

1.400 .2443 1,.0168 0.7724 0.7231 0.1311 0.9550

1.425 .1316 0,.9630 0.7325 0.5474 0.1045 0.9547

1.450 .1633 0,.9188- 0.7012 0.3950 0.0872 0.9543

1.475 .0477 0,,8802 0.6783 0.2847 0.0755 0.9539

1.500 .0213 0,,8448 0.6619 0.2105 0.0673 0.9533

1.525 .0298 0,,8138 0.6531 0.1616 0.0614 0.9526

1.550 ,0373 0.,7979 0.6501 0.1291 0.0570 0.9519

1.575 0.,9599 0.,7805 0.6529 0.1069 0.0538 0.9512

1.600 0.,9554 0,,7670 0.6614 0.0911 0.0513 0.9504

1.625 0.,9035 0.,7572 0.6739 0.0797 0.0495 0.9496

1.650 0.,9570 0,,7447 0.6929 0.0713 0.0481 0.9488

1.675 0,,9410 0,.7407 0.7165 0.0650 0.0470 0.9480

1.700 0,,8863 0,.7444 0.7436 0.0602 0.0462 0.9473

1.725 0,.8080 0,.7409 0.7781 0.0563 0.0456 0.9466

1.750 0.,9028 0,.7408 0.8167 0.0532 0.0452 0.9460

1.775 0,.8291 0,.7489 0.8575 0.0508 0.0450 0.9454

1.800 0,.8505 0..7560 0.9014 0.0488 . 0449 0.9450

1.825 0.,7989 0..7653 0.9467 0.0472 0.0448 0.9447

1.850 0..7606 0..7738 0.9900 0.0459 0.0449 0.9445

1.875 0.,8049 0.,7914 1.0322 0.0448 0.0450 0.9444

1.900 0.,7601 0.,8000 1.0715 0.0439 0.0453 0.9445

1.925 0.,7567 0.,8182 1.1095 0.0431 0.0455 0.9447

1.950 0.,7557 0. 8338 1.1443 0.0425 0.0459 0.9450

1.975 0.,7758 0.,8554 1.1730 0.0420 0.0463 0.9454

2.000 0. 7242 0.,8770 1.1996 0.0416 0.0467 0.9459

2.025 0. 7616 0. 8966 1.2194 0.0412 0.0472 0.9464

2.050 0. 7646 0.,9194 1.2305 0.0410 0.0477 0.9470

2.075 0. 7254 0.,9429 1.2346 0.0408 0.0483 0.9475

2.100 0.,7454 0. 9635 1.2294 0.0407 0.0488 0.9481

2.125 0. 7797 0. 9799 1.2159 0.0406 0.0494 0.9486

2.150 0. 8122 0033 1.1950 0.0406 0.0500 0.9491

2.175 0. 7618 0280 1.1692 0.0407 0.0506 0.9496

2.200 0. 8067 0472 1.1388 0.0407 0.0512 0.9500

2.225 0. 7948 0685 1.1066 0.0409 0.0518 0.9503

2.250 0. 8009 0884 1.0740 0.0410 0.0523 0.9506

2.275 0. 8058 1053 1.0417 0.0412 0.0529 0.9508

2.300 0. 7958 1287 1.0108 0.0414 0.0534 0.9509

2.325 0. 8301 1418 0.9821 0.0416 0.0539 0.9510

2.350 0. 8326 1549 0.9572 0.0418 0.0543 0.9511

2.375 0. 8697 1669 0.9351 0.0421 0.0547 0.9511

2.400 0. 8448 1708 0.9165 0.0424 0.0550 0.9510

2.425 0. 8534 1741 0.9009 0.0427 0.0552 0.9509

2.450 0. 9139 1702 0.8891 0.0430 0.0554 0.9508

2.475 0. 8989 1617 0.8815 0.0434 0.0555 0.9507

2.500 0. 9354 1529 0.8767 0.0438 0.0556 0.9505

2.525 0. 9275 1380 0.8761 0.0441 0.0555 0.9503

232-
2.550

2.515

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

800

825

850

875

900

925

2.950

2.975

3.000

3.025

3.050

3.075

,100

,125

,150

.175

,200

,225

3.250

3.275

3.300

3.325

.350

.375

.400

.425

.450

.475

.500

.525

3.550

3.575

,600

.625

.650

.675

.700

.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9140

0.9529

0.9216

0.9713

0.9869

0.9702

0.9919

1.0417

1.0412

1.0405

1.0450

1.0703

1.0829

0933

1124

1246

1423

1430

1423

1929

1680

1726

1482

1.1304

1.1456

1.1521

1.1412

1260

1243

1023

1164

1187

1179

1.0909

1.0685

1.0697

1.0929

1.0715

,0617

.0288

.0417

,0144

.0039

0.9750

1.0231

1.0147

0.9794

0.9858

0.9712

0.9638

0.9476

0.9691

0.9766

0.9404

0.9457

0.9440

0.9217

0.9495

1.0000

.1243

.1076

.0887

,0758

,0576

0396

0205

0032

0.9875

0.97137

0.9647

0.9499

0.9397

0.9330

0.9266

0.9217

0.9162

0.9144

0.9142

0.9150

0.9170

0.9188

0.9241

0.9267

0.9345

0.9401

0.9460

0.9529

0.9600

0.9681

0.9767

0.9851

0.9960

0008

0071

0143

0218

0284

0323

0368

0395

0453

0456

0463

1.0484

0484

0450

0450

0439

0412

0392

0339

0292

0260

0221

0174

0118

0082

0.8789

0.8845

0.8925

0.9023

0.9157

0.9292

. 9440

0.9608

0.9766

0.9929

1.0089

0228

0358

0472

0566

0638

0688

0715

0727

0712

0685

0630

1.0573

1.0500

1.0422

1.0336

1.0239

1.0145

1.0053

0.9964

0.9875

0.9799

0.9733

0.9679

0.9631

0.9597

0.9578

0.9568

0.9575

0.9591

0.9617

0.9652

0.9698

0.9752

0.9807

0.9868

0.9925

0.9980

1.0000

,0044

,0094

,0136

,0176

0214

0238

0256

1.0268

1.0272

1.0266

1.0000

0.0445

0.0449

0.0453

0.0456

0.0460

0.0464

0.0468

0.0472

0.0476

0.0480

0.0484

0.0488

0.0492

0.0496

0.0500

0.0503

0.0507

0.0510

0.0513

0.0517

0.0520

0.0522

0.0525

0.0526

0.0528

0.0529

0.0530

0.0531

0.0532

0.0532

0.0532

0.0532

0.0531

0.0531

0.0530

0.0529

0.0527

0.0526

0.0525

0.0523

0.0521

0.0519

0.0517

0.0515

0.0513

0.0511

0.0509

0.0507

0.0505

0.0503

0.0501

0.0500

0.0498

0.0497

0.0496

0.0495

0.0493

0.0492

0.0492

0.0554

0.0552

0.0550

0.0547

0.0544

0.0540

0.0536

0.0532

0.0527

0.0523

0.0519

0.0515

0.0511

0.0507

0.0504

0.0501

0.0498

0.0496

0.0494

0.0493

0.0491

0.0490

0.0490

0.0489

0.0489

0.0490

0.0490

0.0491

0.0491

0.0492

0.0493

0.0494

0.0496

0.0497

0.0498

0.0500

0.0501

0.0502

0.0504

0.0505

0.0506

0.0507

0.0508

0.0509

0.0509

0.0510

0.0510

0.0510

0.0510

0.0510

0.0510

0.0510

0.0510

0.0509

0.0508

0.0508

0.0507

0.0506

0.0506

0.9502

0.9500

0.9498

0.9496

0.9495

0.9493

0.9492

0.9491

0.9490

0.9490

0.9490

0.9490

0.9490

0.9490

0.9491

0.9492

0.9492

0.9493

0.9494

0.9495

0.9496

0.9497

0.9498

0.9499

0.9499

0.9500

0.9500

0.9501

0.9501

0.9501

0.9501

0.9501

0.9500

0.9500

0.9500

0.9499

0.9499

0.9499

0.9498

0.9498

0.9498

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9498

0.9498

0.9498

0.9498

0.9499

0.9499

0.9499

0.9499

233
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . ""ll^'^ll

= 2 .00 p*= 0.111 v°- 0999 e^.

li;/hr ^• 00

R* Sll Hi §22 hi ^12 hi

0.850 .0109 .0001 .0000 1.0000 1.0000 .0000

0.875 .0678 .0066 .0001 1.0000 1.0000 .0000

0.900 .2552 .0608 .0049 1.0000 1.0000 .0012

0.925 .6219 .2643 .0575 1.0000 1.0000 .0166

0.950 1 .0355 .6934 .2885 1.0000 1.0000 .0992

0.975 1 .4981 1 .2714 .8032 1.0000 1.0000 .2889

1.000 1 .8533 1 .8249 1 .4983 1.0000 1.0000 .5040

1.025 2 .0782 2 .2337 2 .1312 1.0000 1.0000 .6601

1.050 2 .1722 2 .4469 2 .5291 1.0000 1.0000 .7549

1.075 2 .1471 2 .5111 2 .6601 1.0000 1.0000 .8107

1.100 2 .1234 2 .4490 2 .5886 1.0000 1.0000 .8446

1.125 2 .0947 2 .3239 2 .4041 1.0000 1.0000 .8660

1.150 1 .9796 2,.1615 2 .1669 1.0000 1.0000 .8800

1.175 1 .8946 2 .0016 .9266 1.0000 0.9999 .8895

1.200 1 .7804 1,.8340 .7032 1.0000 0.9988 .8961

1.225 1 .6619 1,.6855 .5051 1.0000 0.9907 .9007

1.250 1 .6278 1,.5460 .3362 1.0000 0.9550 .9039

1.275 1,.5027 1,.4342 .1957 1.0000 0.8623 .9061

1.300 1,.4529 1,.3276 .0774 0.9994 0.7111 .9076

1.325 1,.3950 1..2367 o:.9816 0.9957 0.5459 .9085

1.350 1,,3477 1,.1535 .9034 0.9803 0.4091 .9089

1.375 1,.2305 1,.0824 0,.8385 0.9373 0.3113 .9090

1.400 1..2227 1,.0218 0,.7870 0.8510 0.2451 .9087

1.425 1,.1414 0,.9740 0,.7461 0.7254 0.2007 .9083

1.450 1,.0998 0,.9251 .7171 0.5871 0.1703 .9076

1.475 1,.0831 0,.8940 0,.6950 0.4635 0.1491 .9067

1.500 1,.0347 0,.8593 .6792 0.3665 0.1340 .9056

1.525 1,.0207 0,.8309 .6706 0.2947 0.1230 .9045

1.550 0,,9595 0,.8087 0,.6676 0.2427 0.1148 .9032

1.575 0,.9543 0.,7893 0..6699 0.2051 0.1086 0,.9019

1.600 0.,9370 0,,7712 0,.6768 0.1776 0.1039 0,.9005

1.625 0,,8918 0,,7654 0,.6874 0.1570 0.1003 0,.8991

1.650 0,,8849 0.,7562 0..7044 0.1414 0.0976 0,.8977

1.675 0,,8917 0,,7520 0..7270 0.1295 0.0955 0,.8963

1.700 0.,8942 0,,7511 0,.7518 0.1203 0.0939 0..8950

1.725 0,,8582 0,,7491 0,.7830 0.1130 0.0927 0..8938

1.750 0,,8572 0,,7519 0,.8181 0.1072 0.0919 0,.8926

1.775 0,,8342 0,,7580 0,.8560 0.1025 0.0914 0,.8917

1.800 0.,8282 0,,7633 0,.8967 0.0987 0.0911 0,,8908

1.825 0,,8316 0.,7704 0,,9383 0.0956 0.0910 0,,8903

1.850 0,,8210 0,,7837 0,,9793 0.0931 0.0911 0,,8899

1.875 0.,8212 0,,7966 1,,0207 0.0910 0.0914 0,,8897

1.900 0,,7940 0.,8087 1.,0575 0.0893 0.0917 0,,8898

1.925 0.,8546 0,,8272 1.,0937 0.0880 0.0923 0,,8901

1.950 0,,8063 0.,8415 1.,1285 0.0869 0.0929 0.,8906

1.975 0.,8086 0.,8608 1.,1590 0.0860 0.0936 0.,8913

2.000 0,,7876 0.,8760 1.,1843 0.0853 0.0944 0.,8921

2.025 0,,7843 0.,9022 1.,2043 0.0847 0.0952 0.,8930

2.050 0.,7956 0.,9126 1,,2175 0.0843 0.0961 0,,8940

2.075 0.,7959 0.,9349 1.,2223 0.0840 0.0971 0.,8950

2.100 0.,8243 0.,9565 1.,2179 0.0838 0.0981 0. 8960

2.125 0.,8188 0.,9777 1,,2075 0.0838 0.0991 0. 8970

2.150 0.,8106 0. 9983 1.,1883 0.0838 0.1002 0. 8979

2.175 0.,8057 1. 0212 1.,1653 0.0839 0.1012 0. 8987

2.200 0.,7933 1. 0397 1.,1376 0.0841 0.1023 0. 8995

2.225 0. 8211 1. 0625 1. 1067 0.0842 0.1033 0. 9001

2.250 0.,8269 1. 0773 1.,0768 0.0845 0.1044 0. 9006

2.275 0. 8321 1. 0958 1. 0458 0.0849 0.1053 0. 9010

2.300 0. 8218 1. 1160 1. 0170 0.0852 0.1062 0. 9012

2.325 0. 8272 1. 1309 0. 9906 0.0856 0.1071 0. 9014

2.350 0. 8392 1. 1438 0. 9655 0.0860 0.1079 0. 9015

2.375 0. 8454 1. 1538 0. 9463 0.0865 0.1086 0. 9015

2.400 0. 8679 1. 1607 0. 9266 0.0870 0.1092 0. 9015

2.425 0. 8650 1. 1598 0. 9123 0.0875 0.1096 0. 9013

2.450 0. 8755 1. 1598 0. 9000 0.0881 0.1100 0. 9011

2.475 0. 8833 1. 1558 0. 8933 0.0887 0.1102 0. 9009

2.500 0. 8852 1. 1462 0. 8880 0.0893 0.1103 0. 9007

2.525 0. 9013 1. 1366 0. 8867 0.0899 0.1102 0. 9004

234
,550

,575

,600

,625

650

675

700

2.725

2.750

2.775

,800

,825

,850

,875

,900

,925

950

,975

000

025

050

075

100

125

150

,175

200

,225

,250

,275

,300

325

350

375

3.400

3.425

3.450

3.475

500

525

550

575

600

625

650

675

700

3.725

3.750

3.775

3.800

3.825

3.850

0.9158

0.9358

0.9446

0.9416

0.9781

0.9752

0.9977

0.9881

1.0208

1.0252

1.0297

1.0433

1.0547

1.0540

1.0887

875

900

925

950

975

000

0873

1146

0929

1259

1043

1227

1150

1442

1.1258

1.1203

1.1385

1.1224

1.1271

1.1147

1 . 1044

1.1151

1068

,0947

0774

0828

1.0643

1.0652

1.0567

1.0385

1.0086

1.0083

0.9974

0.9805

0.9929

0.9890

0.9665

0.9829

0.9628

0.9539

0.9674

0.9570

0.9601

0.9397

0.9531

0.9401

0.9397

0.9461

0.9536

1.0000

,1232

,1068

,0912

,0746

,0552

,0414

0216

0109

0.9947

0.9808

0.9714

0.9584

0.9497

0.9388

0.9349

0.9302

0.9274

0.9220

0.9212

0.9237

0.9230

0.9261

0.9287

0.9322

0.9375

0.9419

0.9480

0.9553

0.9625

0.9705

0.9754

0.9838

0.9906

0.9958

1.0033

1.0091

1.0159

1.0210

1.0255

0316

,0337

0372

0413

0410

1.0437

1 . 0441

1.0429

1.0422

1.0422

1.0397

1.0362

1.0327

1.0297-

1.0265

1.0240

1.0166

1.0127

1.0065

1.0000

0.8885

0.8917

0.8998

0.9086

0.9198

0.9316

0.9449

0.9593

0.9745

0.9893

1.0033

1.0158

1.0284

1.0398

1.0481

1.0551

,0602

,0641

.0654

.0653

.0633

.0603

.0548

.0485

.0417

.0335

.0251

1.0168

1.0088

0.9997

0.9920

0.9852

0.9788

0.9730

0.9682

0.9657

0.9636

0.9626

0.9624

0.9629

0.9655

0.9684

0.9717

0.9763

0.9815

0.9862

0.9910

0.9964

1.0020

1.0064

1.0110

1.0145

1.0179

1.0202

1.0218

1.0237

1.0237

1.0233

1.0000

0.0905

0.0911

0.0918

0.0925

0.0932

0.0939

0.0946

0.0953

0.0960

0.0967

0.0974

0.0980

0.0987

0.0993

0.0999

0.1005

0.1011

0.1017

0.1022

0.1027

0.1031

0.1035

0.1039

0.1043

0.1045

0.1048

0.1050

0.1052

0.1053

0.1054

0.1054

0.1054

0.1053

0.1052

0.1051

0.1049

0.1047

0.1045

0.1042

0.1038

0.1035

0.1031

0.1027

0.1023

0.1019

0.1016

0.1012

0.1008

0.1005

0.1001

0.0998

0.0995

0.0992

0.0990

0.0987

0.0985

0.0983

0.0982

0.0981

0.1101

0.1098

0.1094

0.1089

0.1083

0.1077

0.1070

0.1062

0.1055

0.1047

0.1040

0.1032

0.1025

0.1019

0.1013

0.1007

0.1002

0.0998

0.0994

0.0991

0.0989

0.0987

0.0986

0.0985

0.0985

0.0985

0.0985

0.0986

0.0987

0.0989

0.0991

0.0993

0.0995

0.0997

0.0999

0.1002

0.1004

0.1006

0.1008

0.1010

0.1012

0.1014

0.1016

0.1017

0.1018

0.1019

0.1020

0.1020

0.1020

0.1021

0.1020

0.1020

0.1019

0.1019

0.1018

0.1017

0.1015

0.1014

0.1013

0.9001

0.8998

0.8995

0.8992

0.8989

0.8986

0.8984

0.8983

0.8981

0.8980

0.8980

0.8979

0.8980

0.8980

0.8981

0.8982

0.8984

0.8985

0.8987

0.8989

0.8991

0.8992

0.8994

0.8995

0.8996

0.8997

0.8998

0.8998

0.8999

0.8999

0.8999

0.8999

0.8998

0.8998

0.8997

0.8997

0.8996

0.8996

0.8995

0.8995

0.8994

0.8994

0.8993

0.8993

0.8993

0.8992

0.8992

0.8993

0.8993

0.8993

0.8993

0.8994

0.8994

0.8995

0.8995

0.8996

0.8996

0.8997

0.8997

235
^22/^^11= 2..00 p*- 0.126 x^- 0.:Z50(' ^22 /^ir 3- 00

R* Sll ^12 §22 ^11 ^12 ^22

0.850 0,,0059 0.0002 .0000 .0000 1.0000 .0000

0.875 0,.0634 0.0063 .0001 .0000 1.0000 .0000

0.900 0,.2705 0.0593 .0046 .0000 1.0000 .0004

0.925 0,.6165 0.2583 0,.0531 .0000 1.0000 .0053

0.950 1..0457 0.6705 .2716 .0000 1.0000 .0337

0.975 1,,4987 1.2281 .7598 .0000 1.0000 .1145

1.000 1..8418 1.7721 1 .4268 .0000 1.0000 .2451

1.025 2.,0441 2.1859 2 .0375 .0000 1.0000 .3836

1.050 2,.1925 2.4052 2 .4321 .0000 1.0000 .4972

1.075 2,.1778 2.4559 2,.5674 .0000 1.0000 0,.5795

1.100 2.,1570 2.4061 2..5129 .0000 1.0000 0,.6365

1.125 2,,0804 2.2831 2..3440 .0000 1.0000 0,.6759

1.150 1.,9896 2.1325 2..1307 .0000 1.0000 .7033

1.175 1.,9042 1.9769 1 .9074 .0000 1.0000 .7226

1.200 1.,8038 1.8242 1,.6948 .0000 0.9996 .7364

1.225 1.,6835 1.6721 1,.5033 .0000 0.9971 .7461

1.250 1,,6219 1.5460 1,.3416 .0000 0.9854 .7531

1.275 1.,5214 1.4225 1,.2089 .0000 0.9518 0,.7579

1.300 1.,4523 1.3251 1,.0935 o!.9998 0.8855 0,.7612

1.325 1.,3826 1.2348 1,.0018 0..9986 0.7902 0,.7632

1.350 1.,3292 1.1560 0,.9250 0,.9936 0.6838 0,.7643

1.375 1.,2831 1.0913 0,.8660 0,.9788 0.5850 0,.7646

1.400 1.,2142 1.0363 0,.8177 0,.9464 0.5028 0,.7643

1.425 1.,1942 0.9831 0,.7791 0,.8914 0.4384 0,.7635

1.450 1.,1305 0.9385 0,.7536 0..8161 0.3893 0,.7623

1.475 1.,0963 0.9068 0..7350 0,.7299 0.3522 0,.7609

1.500 1.,0643 0.8738 0,.7236 0..6440 0.3241 0,.7591

1.525 1.,0255 0.8520 0..7157 0,.5662 0.3027 0,.7571

1.550 0,,9815 0.8309 0,.7140 0,.4997 0.2862 0,.7550

1.575 0,,9575 0.8156 0,.7157 0..4452 0.2735 0,.7528

1.600 0.,9521 0.8035 0,.7204 0,.4014 0.2636 0,.7504

1.625 0,,9341 0.7923 0,.7279 0,.3665 0.2560 0..7480

1.650 0,,9151 0.7872 0,.7414 0..3386 0.2501 0,.7456

1.675 0,,8933 0.7794 0,.7582 0,.3161 0.2455 0,.7432

1.700 0,,8778 0.7822 0..7777 0,.2979 0.2421 0,.7409

1.725 0.,8606 0.7803 0..8000 0,,2831 0.2395 0..7387

1.750 0,,8559 0.7817 0..8256 0,,2710 0.2377 0,.7367

1.775 0.,8588 0.7855 0..8576 0,,2611 0.2364 0,.7348

1.800 0,,8398 0.7910 0..8879 0.,2530 0.2357 0,.7333

1.825 0,,8239 0.7960 0,.9234 0,,2462 0.2354 0,.7321

1.850 0,,8294 0.8060 0,.9591 0.,2405 0.2355 0,,7312

1.875 0,,8120 0.8140 0,.9939 0,,2359 0.2358 0,,7307

1.900 0,,8048 0.8272 1,.0274 0,,2320 0.2365 0,,7307

1.925 0,.8256 0.8375 1,.0596 0,,2288 0.2373 0,,7310

1.950 0,.8246 0.8502 1,.0926 0,,2264 0.2384 0,,7317

1.975 0,.8057 0.8672 1,.1212 0.,2243 0.2396 0,,7327

2.000 0,.8063 0.8787 1,,1491 0,,2226 0.2409 0.,7341

2.025 0,.8042 0.8960 1,,1683 0.,2213 0.2423 0.,7356

2.050 0,.8148 0.9144 1,,1843 0,,2203 0.2439 0.,7373

2.075 0..8100 0.9312 1,.1917 0.,2196 0.2455 0.,7392

2.100 0..8094 0.9493 1.,1911 0.,2191 0.2472 0.,7410

2.125 0,.8182 0.9696 1.,1817 0.,2188 0.2490 0.,7428

2.150 0..8117 0.9864 1,,1706 0,,2188 0.2508 0.,7444

2.175 0,.8166 1.0033 1.,1521 0.,2188 0.2526 0.,7460

2.200 0,.8157 1.0235 1,,1287 0.,2191 0.2544 0.,7474

2.225 0..8363 1.0401 1.,1029 0.,2194 0.2562 0.,7485

2.250 0,.8313 1.0580 1,,0779 0.,2200 0.2580 0.,7495

2.275 0,.8479 1.0757 1,,0517 0. 2206 0.2597 0.,7503

2.300 0,.8499 1.0903 1,,0268 0. 2213 0.2613 0. 7509

2.325 0..8525 1.1096 1,,0041 0. 2222 0.2628 0. 7513

2.350 0,.8522 1.1226 0,,9834 0.,2230 0.2643 0. 7516

2.375 0,.8653 1.1315 0.,9648 0.,2239 0.2656 0. 7517

2.400 0,.8603 1.1367 0.,9499 0. 2249 0.2667 0. 7516

2.425 0,.8728 1.1402 0,,9364 0. 2259 0.2677 0. 7515

2.450 0,.8952 1.1413 0,,9265 0. 2269 0.2684 0. 7513

2.475 0,.9002 1.1401 0,,9184 0. 2281 0.2690 0. 7510

2.500 0,.9080 1.1303 0.,9124 0. 2293 0.2693 0. 7506

2.525 0,.9114 1.1224 0.,9112 0. 2305 0.2693 0. 7501

236
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

800

825

850

875

900

925

950

2.975

3.000

025

050

075

100

125

150

175

200

225

250

275

300

325

350

375

400

425

3.450

3.475

500

.525

.550

.575

.600

.625

3.650

3.675

3.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9156

0.9223

0.9386

0.9367

0.9604

0.9579

0.9640

0.9819

0.9894

1.0027

1.0115

1.0247

1.0379

1.0514

1.0559

1.0620

1.0615

1.0745

1.0835

1.0951

1.1071

1.1097

1103

,1039

,1113

,1099

,1053

,1008

,1046

,0828

,0896

,0713

,0735

,0550

,0590

1.0455

1.0351

1.0323

1.0262

1.0277

1.0066

1.0062

0.9983

0.9941

0.9915

0.9899

0.9795

0.9761

0.9738

0.9699

0.9580

0.9649

0.9659

0.9626

0.9565

0.9569

0.9616

0.9556

1.0000

1.1114

1.0997

1.0848

1.0694

1.0578

1.0411

1.0278

1.0123

1.0036

0.9914

0.9813

0.9698

0.9620

0.9555

0.9512

0.9466

0.9429

0.9415

0.9399

0.9367

0.9395

0.9419

0.9422

0.9435

0.9492

0.9511

0.9563

0.9611

0.9637

0.9694

0.9754

0.9819

0.9862

0.9919

0.9972.

1.0020

1.0061

1.0111

1.0166

1.0204

1.0256

1.0284

1.0306

1.0308

1.0336

1.0355

1.0349

1.0330

1.0340

1.0318

1.0303

1.0273

1.0242

1.0228

1.0194

1.0174

1.0129

1.0101

1 . 0000

0.9117

0.9156

0.9199

0.9261

0.9336

0.9414

0.9517

0.9622

0.9731

0.9839

0.9942

1 . 0044

1.0143

1.0225

1.0311

1.0366

1.0418

1.0456

1.0488

1.0498

1.0505

1.0487

,0455

0421

,0371

,0303

0253

0191

1.0118

1.0066

1.0001

0.9940

0.9891

0.9851

0.9828

0.9794

0.9770

0.9755

0.9751

0.9747

0.9752

0.9763

0.9781

0.9807

0.9843

0.9873

0.9907

0.9953

0.9983

1.0016

1.0045

1.0078

1.0098

1.0114

1.0146

1.0160

1.0167

1.0172

1.0000

0.2317

0.2329

0.2341

0.2353

0.2365

0.2378

0.2390

0.2402

0.2414

0.2427

0.2439

0.2451

0.2462

0.2474

0.2486

0.2497

0.2507

0.2517

0.2527

0.2536

0.2545

0.2554

0.2561

0.2568

0.2574

0.2579

0.2584

0.2587

0.2590

0.2592

0.2593

0.2593

0.2592

0.2590

0.2588

0.2585

0.2581

0.2576

0.2571

0.2566

0.2560

0.2553

0.2547

0.2540

0.2534

0.2527

0.2521

0.2514

0.2508

0.2502

0.2496

0.2491

0.2486

0.2481

0.2477

0.2473

0.2470

0.2467

0.2465

0.2692

0.2689

0.2683

0.2676

0.2666

0.2656

0.2644

0.2631

0.2618

0.2604

0.2590

0.2577

0.2564

0.2552

0.2540

0.2530

0.2520

0.2512

0.2505

0.2499

0.2494

0.2490

0.2487

0.2485

0.2484

0.2483

0.2484

0.2485

0.2486

0.2488

0.2490

0.2493

0.2497

0.2500

0.2503

0.2507

0.2510

0.2514

0.2517

0.2520

0.2523

0.2526

0.2529

0.2531

0.2534

0.2535

0.2537

0.2538

0.2538

0.2539

0.2539

0.2538

0.2538

0.2537

0.2535

0.2534

0.2532

0.2531

0.2528

0.7497

0.7492

0.7487

0.7483

0.7479

0.7475

0.7471

0.7468

0.7465

0.7463

0.7462

0.7461

0.7461

0.7462

0.7463

0.7465

0.7467

0.7469

0.7472

0.7475

0.7478

0.7480

0.7483

0.7485

0.7488

0.7489

0.7491

0.7492

0.7493

0.7493

0.7494

0.7494

0.7493

0.7493

0.7493

0.7492

0.7491

0.7490

0.7490

0.7489

0.7488

0.7487

0.7487

0.7486

0.7486

0.7486

0.7485

0.7485

0.7486

0.7486

0.7486

0.7487

0.7487

0.7488

0.7489

0.7490

0.7490

0.7491

0.7492

237-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . ^22^°Vr ^'^^ ^*" 0.164 x^= 0.5000 €««/c= 3.00 ^22/^n

R* '11 '12 '22 11 12 22

.850 .0076 .0002 .0000 1.0000 1 .0000 0.0000

.875 .0612 .0056 .0001 1.0000 1 .0000 0.0000

.900 .2348 .0527 .0037 1.0000 1 .0000 0.0001

.925 .5649 .2353 .0457 1.0000 1 .0000 0.0016

.950 .9832 .6139 .2319 1.0000 1 .0000 0.0103

.975 1 .4099 1 .1320 .6567 1.0000 1 .0000 0.0373

1 .000 1 .7382 1 .6412 1 .2446 1.0000 1 .0000 0.0888

1 .025 1 .9425 2 .0280 1 .8126 1.0000 1 .0000 0.1583

1 .050 2 .0619 2 .2411 2 .1832 1.0000 1 .0000 0.2311

1 .075 2 .0755 2 .3165 2 .3408 1.0000 1 .0000 0.2962

1 .100 2,.0595 2 .2803 2 .3220 1.0000 1 .0000 0.3495

1 .125 1,.9860 2 .1826 2 .1948 1.0000 1 .0000 0.3910

1 .150 1,.9109 2 .0470 2 .0160 1.0000 1 .0000 0.4227

1 .175 1,.8238 1 .9091 1 .8307 1.0000 1 .0000 0.4465

1,.200 1.,7421 1,.7707 1 .6504 1.0000 .9999 0.4644

1,.225 1,,6483 1,.6405 1,.4836 1.0000 .9991 0.4776

1,.250 1,,5698 1 .5255 1,.3391 1.0000 .9956 0.4873

1,.275 1,,4942 1 .4129 1 .2224 1.0000 .9851 0.4942

1,.300 1,.4322 1,.3223 1,.1214 0.9999 .9627 0.4990

1,.325 1,.3735 1,.2406 1 .0408 0.9996 .9262 0.5022

1,.350 1..3065 1,.1652 0,.9769 0.9980 .8778 0.5042

1,.375 1..2496 1,.1087 .9205 0.9933 .8232 0.5053

1..400 1..2094 1,,0564 0,,8824 0.9826 .7689 0.5056

1,.425 1..1646 1,.0123 0,.8567 0.9631 .7190 0.5054

1..450 1..1370 0,,9750 0,,8364 0.9336 .6756 0.5049

1,.475 1,.0893 0,,9441 0,.8262 0.8953 .6391 0.5041

1,.500 1,,0685 0,,9170 0,,8209 0.8511 .6090 0.5031

1,.525 1..0400 0.,8958 0,,8185 0.8048 0,.5844 0.5019

1..550 1..0137 0,,8791 0,,8181 0.7594 .5646 0.5007

1,.575 0.,9905 0,,8677 0,,8202 0.7174 0,.5485 0.4993

1,.600 0.,9696 0,,8567 0,,8251 0.6796 0,.5356 0.4979

1..625 0. 9507 0,,8555 0,,8264 0.6463 0,,5253 0.4964

1,.650 0.,9371 0,,8494 0,,8301 0.6176 0,,5172 0.4948

1..675 0.,9318 0,,8499 0.,8314 0.5931 0.,5108 0.4931

1,.700 0..9104 0,,8485 0,,8399 0.5722 0,,5058 0.4913

1..725 0.,8993 0,,8496 0.,8509 0.5544 0,,5021 0.4896

1,.750 0. 8970 0,,8493 0,,8617 0.5394 0,,4992 0.4878

1,.775 0.,8859 0.,8505 0.,8754 0.5267 0,,4972 0.4861

1,.800 0. 8739 0,,8519 0,,8914 0.5159 0,,4958 0.4846

1,.825 0. 8807 0,,8535 0,,9107 0.5069 0,,4949 0.4832

1..850 0.,8760 0,,8575 0,,9310 0.4992 0,,4945 0.4822

1..875 0.,8700 0,,8615 0,,9555 0.4928 0,,4944 0.4814

1,.900 0,,8644 0.,8672 0.,9758 0.4874 0,,4946 0.4809

1,.925 0.,8641 0,,8708 1.,0009 0.4830 0.,4950 0.4808

1,.950 0.,8638 0,,8773 1,,0260 0.4793 0.,4955 0.4810

1,.975 0.,8663 0,,8867 1.,0507 0.4763 0,,4962 0.4816

2..000 0.,8659 0,,8922 1.,0723 0.4739 0.,4969 0.4825

2,,025 0.,8627 0.,9038 1.,0912 0.4721 0.,4978 0.4836

2..050 0..8607 0.,9126 1. 1066 0.4706 0.,4987 0.4849

2..075 0.,8655 0,,9215 1.,1185 0.4695 0.,4997 0.4864

2..100 0.,8662 0.,9354 1. 1225 0.4688 0.,5007 0.4880

2,.125 0.,8682 0.,9461 1. 1222 0.4683 0. 5018 0.4895

2..150 0.,8683 0.,9589 1. 1180 0.4681 0. 5029 0.4911

2,.175 0.,8701 0.,9722 1. 1064 0.4681 0. 5040 0.4925

2,.200 0. 8766 0.,9848 1. 0960 0.4683 0, 5052 0.4938

2,,225 0.,8701 0.,9980 1. 0818 0.4687 0. 5065 0.4950

2,,250 0.,8790 1.,0145 1. 0651 0.4692 0. 5078 0.4960

2,,275 0.,8803 1.,0296 1. 0490 0.4698 0. 5091 0.4969

2.,300 0.,8813 1.,0422 1. 0354 0.4705 0. 5104 0.4976

2,,325 0. 8864 1.,0546 1. 0207 0.4714 0. 5117 0.4981

2,,350 0.,8850 1.,0692 1. 0085 0.4722 0. 5130 0.4985

2,,375 0.,8894 1.,0782 0. 9954 0.4731 0. 5143 0.4988

2,.400 0,,8977 1.,0856 0. 9839 0.4741 0. 5154 0.4990

2,,425 0.,8982 1.,0893 0. 9760 0.4751 0. 5164 0.4991

2,,450 0.,9088 1.,0914 0. 9711 0.4762 0. 5173 0.4990

2,,475 0.,9122 1.,0919 0. 9642 0.4772 0. 5181 0.4990

2,,500 0.,9138 1. 0885. 0. 9616 0.4783 0. 5186 0.4988

2,,525 0.,9176 1.,0853 0. 9606 0.4794 0. 5190 0.4987

238-
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.725

2.750

2.775

2.800

2.825

,850

.875

,900

925

950

2.975

3.000

3.025

3.050

3.075

3.100

3.125

3.150

3.175

3.200

3.225

3.250

3.275

300

,325

,350

,375

.400

3.425

450

475

500

525

550

575

600

625

650

3.675

3.700

3.725

750

775

800

825

850

875

900

925

950

975

000

0.9308

0.9263

0.9363

0.9476

0.9497

0.9591

0.9730

0.9758

0.9792

0.9865

0.9946

1 . 0044

1.0132

1.0189

1.0297

1.0369

1.0434

1.0490

1.0605

1.0627

1.0697

1.0736

1.0745

1.0785

1.0775

1.0779

1.0799

1.0729

1.0741

1.0677

1.0659

1.0650

1.0606

1.0579

1.0520

1.0445

1 . 0429

1.0381

1.0297

1.0256

1.0222

1.0166

1.0127

1.0081

1.0056

1.0000

0.9944

0.9954

0.9908

0.9909

0.9858

0.9863

0.9853

0.9836

0.9805

0.9810

0.9806

0.9780

1.0000

1.0806

1.0741

1.0665

1.0568

1.0487

1.0403

1.0303

1.0217

1.0145

1.0063

1.0002

0.9936

0.9888

0.9829

0.9799

0.9770

0.9736

0.9719

0.9712

0.9699

0.9695

0.9686

0.9692

0.9697

0.9704

0.9727

0.9752

0.9751

0.9788

0.9798

0.9820

0.9850

0.9857

0.9894

0.9919

0.9931

0.9955

0.9985

0006

0031

0050

0086

0092

0100

0120

0139

1.0132

0155

,0164

,0158

.0162

.0156

,0139

,0132

1.0117

1.0110

1.0099

1.0086

1.0000

0.9598

0.9605

0.9611

0.9625

0.9668

0.9684

0.9708

0.9760

0.9806

0.9834

0.9905

0.9931

0.9963

.0005

.0055

.0097

.0127

,0175

,0200

,0199

,0214

,0230

1.0226

1.0229

1.0211

1.0205

1.0177

1.0146

1.0117

1.0094

1.0064

1.0046

1.0034

0.9999

0.9976

0.9961

0.9954

0.9936

0.9943

0.9932

0.9930

0.9923

0.9938

0.9943

0.9943

0.9955

0.9947

0.9970

0.9977

0.9978

1.0001

1.0015

1.0019

1.0026

1.0051

1.0045

1.0051

1.0062

1.0000

0.4805

0.4816

0.4826

0.4838

0.4849

0.4860

0.4872

0.4884

0.4896

0.4907

0.4918

0.4930

0.4941

0.4953

0.4964

0.4976

0.4987

0.4997

0.5008

0.5018

0.5028

0.5038

0.5047

0.5055

0.5063

0.5069

0.5076

0.5081

0.5086

0.5089

0.5092

0.5094

0.5096

0.5097

0.5096

0.5095

0.5093

0.5091

0.5088

0.5084

0.5079

0.5074

0.5069

0.5064

0.5058

0.5052

0.5046

0.5041

0.5035

0.5029

0.5024

0.5019

0.5014

0.5009

0.5005

0.5001

0.4997

0.4994

0.4992

0.5192

0.5192

0.5190

0.5186

0.5180

0.5173

0.5164

0.5154

0.5144

0.5132

0.5120

0.5109

0.5097

0.5085

0.5075

0.5065

0.5056

0.5047

0.5040

0.5033

0.5028

0.5023

0.5019

0.5016

0.5013

0.5011

0.5010

0.5010

0.5009

0.5010

0.5010

0.5011

0.5012

0.5014

0.5015

0.5016

0.5018

0.5019

0.5021

0.5023

0.5024

0.5026

0.5027

0.5029

0.5030

0.5031

0.5032

0.5033

0.5033

0.5034

0.5034

0.5034

0.5034

0.5034

0.5034

0.5033

0.5032

0.5031

0.5030

0.4985

0.4983

0.4981

0.4979

0.4977

0.4975

0.4973

0.4971

0.4970

0.4968

0.4967

0.4966

0.4966

0.4966

0.4966

0.4966

0.4967

0.4968

0.4970

0.4972

0.4974

0.4976

0.4978

0.4980

0.4982

0.4983

0.4985

0.4986

0.4987

0.4988

0.4989

0.4989

0.4990

0.4990

0.4990

0.4990

0.4990

0.4990

0.4990

0.4990

0.4990

0.4990

0.4990

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4989

0.4990

0.4990

0.4990

0.4990

0.4991

0.4991

0.4992

0.4992

0.4992

239
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*-3.0

p*- 0.213 X.- 0.7500 6„„/e,,- 3.00 ^22/^^11= 2-00 ^22/^11=

R*

'11 '12 '22 11 12 22

.850 .0061 .0002 .0000 .0000 1 .0000 .0000

.875 .0501 .0044 .0001 .0000 1 .0000 .0000

.900 .1955 .0409 .0024 .0000 1 .0000 .0000

.925 .4656 .1847 .0305 .0000 1 .0000 .0004

0,.950 .8268 .4937 .1585 .0000 1 .0000 .0026

.975 1 .1873 .9257 .4673 .0000 1 .0000 .0099

1,.000 1 .4787 1 .3615 .9213 .0000 1 .0000 .0251

1,.025 1,.6725 1 .7011 1 .3702 .0000 1 .0000 .0479

1,.050 1,.7864 1 .9118 1,.7183 .0000 1 .0000 .0754

1,.075 1,.8368 2 .0092 1 .8939 .0000 1 .0000 .1038

1,.100 1,.8283 2 .0021 1 .9388 .0000 1 .0000 .1301

1,.125 1,.7819 1 .9472 1,.8904 .0000 1 .0000 .1530

1,.150 1,.7299 1,.8555 1..7915 .0000 1 .0000 .1721

1,.175 1,.6661 1,.7541 1,.6648 .0000 1 .0000 .1876

1,.200 1,.5942 1,.6506 1,.5391 .0000 1 .0000 .1999

1..225 1,.5404 1,.5464 1,.4226 .0000 .9998 .2095

1,.250 1,.4729 1,.4518 1,.3197 .0000 .9989 .2169

1..275 1,,4048 1,.3705 1,.2388 .0000 .9962 .2227

1,,300 1,.3568 1,.2958 1,.1569 .0000 .9901 .2269

1,,325 1,,3058 1,.2364 1,,0998 .9999 .9795 .2301

1,,350 1,,2607 1,,1758 1,.0524 0,,9994 .9643 .2326

1,,375 1,,2153 1,.1313 1,,0099 0,.9981 .9455 .2343

1,,400 1,,1841 1,.0879 0,,9966 0,.9949 .9246 .2357

1,,425 1,,1551 1,,0470 0,,9684 0,.9891 0,.9032 0,.2368

1,,450 1,,1179 1,,0230 0,,9636 0,,9798 0,.8827 0,.2377

1,,475 1,,0942 0,,9949 0,,9621 0,.9670 0,.8638 0,.2385

1,,500 1.,0675 0,,9793 0,.9603 0,.9512 0,.8470 0,.2393

1.,525 1,,0471 0,,9662 0..9646 0.,9334 0,.8323 0..2400

1,,550 1,,0305 0,,9557 0,,9691 0.,9146 0,.8197 0,.2407

1.,575 1.,0094 0,,9490 0,,9718 0,,8957 0,.8090 0..2413

1.,600 1,,0023 0,,9481 0,,9655 0,,8774 0,.8001 0..2419

1.,625 0..9806 0,,9466 0,,9643 0,,8602 0,,7926 0.,2424

1.,650 0..9722 0,,9458 0,,9586 0,,8444 0,.7865 0..2427

1.,675 0,.9580 0,,9472 0,,9600 0,,8301 0,,7815 0,,2430

1.,700 0..9526 0,,9502 0,,9562 0,,8173 0,,7773 0.,2431

1,,725 0..9463 0,,9511 0,,9522 0,,8060 0,,7740 0,,2432

1.,750 0..9394 0,,9506 0,,9467 0.,7960 0.,7714 0.,2431

1.,775 0..9370 0.,9495 0.,9444 0,,7873 0,,7692 0,,2429

1,,800 0..9310 0,,9486 0,,9489 0,,7797 0,,7674 0,,2427

1,,825 0,.9283 0,,9476 0,,9458 0.,7731 0,,7661 0,,2424

1.,850 0..9278 0,,9441 0,,9462 0,,7675 0,,7649 0,,2421

1,,875 0..9308 0,,9435 0,,9532 0,,7626 0.,7640 0,,2419

1,.900 0,.9283 0,,9431 0,,9630 0,,7585 0,,7632 0,,2417

1,,925 0..9340 0,,9401 0,,9643 0.,7550 0,,7625 0.,2416

1..950 0..9341 0,,9417 0.,9764 0,,7521 0.,7619 0..2415

1.,975 0..9355 0,,9407 0,,9862 0,,7496 0,,7613 0..2416

2,,000 0,.9375 0,,9406 0,,9941 0,,7475 0.,7607 0..2417

2,.025 0..9359 0,,9403 1,,0102 0,,7459 0,,7602 0..2419

2..050 0..9393 0,,9432 1.,0170 0,,7445 0.,7597 0..2422

2,.075 0,.9410 0,,9454 1.,0295 0,,7434 0.,7592 0..2426

2..100 0..9414 0,,9454 1,,0351 0.,7426 0.,7587 0..2430

2,.125 0..9401 0.,9501 1.,0366 0.,7420 0.,7582 0..2434

2..150 0..9427 0.,9546 1.,0409 0.,7416 0.,7578 0.,2439

2..175 0..9405 0,,9593 1,,0416 0.,7413 0..7575 0.,2444

2..200 0..9444 0.,9625 1.,0424 0.,7411 0..7573 0.,2448

2..225 0,.9415 0.,9687. 1..0360 0..7411 0..7571 0. 2453

2..250 0..9424 0,,9769 1..0312 0..7411 0..7569 0. 2456

2..275 0..9408 0,,9828 1..0290 0..7412 0. 7569 0. 2460

2.,300 0..9394 0.,9901 1..0244 0..7413 0.,7568 0. 2463

2..325 0,.9421 0,,9988 1..0179 0..7414 0. 7569 0. 2466

2..350 0..9418 1,,0046 1..0162 0..7416 0. 7570 0. 2468

2..375 0..9397 1,,0116 1. 0101 0. 7418 0. 7572 0. 2470

2..400 0..9399 1.,0159 1. 0070 0. 7420 0. 7573 0. 2471

2..425 0..9403 1.,0207 1. 0080 0. 7422 0. 7575 0. 2473

2..450 0..9405 1,,0233 1. 0044 0. 7424 0. 7577 0. 2474

2.,475 0..9443 1,,0250 1. 0049 0. 7426 0. 7579 0. 2475

2. 500 0..9449 1.,0236 1. 0028 0. 7428 0. 7581 0. 2477

2..525 0..9445 1.,0266 0.,9986 0. 7430 0. 7583 0. 2477

-240-
2.550

2.575

2.600

2.625

2.650

2.675

2.700

2.125

2.750

2.775

800

825

850

875

900

2.925

2.950

2.975

3.000

3.025

3.050

3.075

3

3,

3

3

3

3

3

3

3

3

3,

3

3,

,100

.125

.150

.175

.200

.225

.250

.275

.300

.325

.350

.375

.400

3.425

3.450

3.475

3.500

3.525

3.550

3.575

3.600

3.625

3.650

3.675

3.700

3.725

750

,775

800

825

850

875

3.900

3.925

3.950

3.975

4.000

0.9467

0.9516

0.9520

0.9534

0.9593

0.9588

0.9627

0.9649

0.9685

0.9732

0.9794

0.9795

0.9856

0.9910

0.9932

0.9988

1.0034

1.0080

1.0108

1.0134

1.0168

1.0205

1.0241

1.0266

1.0299

1.0297

1.0314

1.0301

1.0300

1.0307

1.0272

1.0282

1.0257

1 . 0244

1.0265

1.0238

1.0220

1.0186

1.0201

1.0189

1.0139

1.0141

1.0132

1.0121

1.0110

1.0071

1.0075

1.0042

1.0071

1.0037

1.0030

1.0023

1.0013

1.0004

0.9997

1.0011

0.9990

0.9997

1.0000

1.0252

1.0233

1.0217

1.0206

1.0195

1.0180

,0153

,0140

0101

0098

0087

0060

1.0034

1.0035

1.0009

1.0005

0.9989

0.9978

0.9971

0.9985

0.9972

0.9972

0.9978

0.9973

0.9960

0.9977

0.9977

0.9980

0.9964

0.9973

0.9971

0.9977

0.9980

0.9977

0.9970

0.9974

0.9969

0.9981

0.9992

0.9991

1.0008

0.9987

0.9992-

0.9997

1.0006

0.9993

1.0001

1.0019

1.0027

1.0018

1.0025

1.0019

1.0021

1.0030

1.0019

1.0015

1.0025

1.0018

1.0000

1.0003

1.0013

0.9984

0.9993

0.9986

0.9972

0.9978

0.9997

0.9967

0.9992

0.9990

0.9993

1.0002

1.0004

1.0005

1.0023

1.0010

1.0020

1.0009

1.0019

1.0043

1.0066

0055

0064

0074

0047

0054

1.0062

1.0066

1.0068

1.0037

1.0057

1.0045

1 . 0045

1.0052

,0060

,0037

,0042

0025

0022

0027

1.0009

1.0012

1.0000

1.0011

1.0006

1.0026

1.0030

1.0037

1.0005

1.0017

1.0015

1.0020

1.0026

1.0016

1 . 0040

1.0024

0.9878

1.0000

0.7432

0.7433

0.7435

0.7437

0.7439

0.7441

. 7444

0.7446

0.7448

0.7451

0.7454

0.7457

0.7460

0.7463

0.7467

0.7470

0.7474

0.7478

0.7482

0.7486

0.7489

0.7493

0.7497

0.7501

0.7504

0.7508

0.7511

0.7515

0.7518

0.7520

0.7523

0.7525

0.7527

0.7528

0.7530

0.7531

0.7531

0.7532

0.7532

0.7532

0.7532

0.7531

0.7530

0.7530

0.7529

0.7527

0.7526

0.7525

0.7524

0.7523

0.7521

0.7520

0.7519

0.7518

0.7516

0.7515

0.7514

0.7513

0.7512

0.7584

0.7584

0.7585

0.7584

0.7584

0.7583

0.7581

0.7579

0.7576

0.7573

0.7570

0.7567

0.7563

0.7560

0.7556

0.7553

0.7550

0.7546

0.7544

0.7541

0.7539

0.7536

0.7534

0.7533

0.7531

0.7530

0.7529

0.7528

0.7526

0.7525

0.7525

0.7524

0.7523

0.7522

0.7522

0.7521

0.7521

0.7520

0.7520

0.7519

0.7519

0.7519

0.7518

0.7518

0.7518

0.7517

0.7517

0.7517

0.7517

0.7516

0.7516

0.7516

0.7516

0.7515

0.7515

0.7515

0.7515

0.7514

0.7514

0.2478

0.2479

0.2480

0.2480

0.2481

0.2481

0.2482

0.2482

0.2483

0.2483

0.2483

0.2484

0.2484

0.2484

0.2485

0.2485

0.2485

0.2486

0.2486

0.2486

0.2487

0.2487

0.2488

0.2489

0.2489

0.2490

0.2490

0.2491

0.2491

0.2492

0.2492

0.2492

0.2493

0.2493

0.2493

0.2494

0.2494

0.2494

0.2495

0.2495

0.2495

0.2495

0.2495

0.2496

0.2496

0.2496

0.2496

0.2496

0.2496

0.2496

0.2497

0.2497

0.2497

0.2497

0.2497

0.2497

0.2497

0.2497

0.2497

241-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . ^22/^11= 2 .00 p*= 0.195 \-°- 9001 £22:/^ir ' 00

R* Hi ^12 §22 ^11 hi ^22

0.850 .0049 .0001 0.0000 1.0000 1.0000 .0000

0.875 .0378 .0034 0.0000 1.0000 1.0000 .0000

0.900 0,.1472 .0320 0.0019 1.0000 1.0000 .0000

0.925 0,.3613 .1412 0.0233 1.0000 1.0000 .0001

0.950 .6441 .3818 0.1208 1.0000 1.0000 .0007

0.975 .9415 .7263 0.3882 1.0000 1.0000 .0030

1.000 1,.1887 1 .0902 0.7703 1.0000 1.0000 .0077

1.025 1,.3777 1 .4012 1.1824 1.0000 1.0000 .0152

1.050 1,.4784 1 .6073 1.5309 1.0000 1.0000 .0247

1.075 1,.5392 1 .7125 1.7246 1.0000 1.0000 .0350

1.100 1,.5522 1 .7421 1.8242 1.0000 1.0000 .0451

1.125 1,,5420 1,.7230 1.8270 1 . 0000 1.0000 .0545

1.150 1,.5164 1,.6714 1.7816 1.0000 1.0000 .0627

1.175 1..4695 1,.6067 1.6990 1.0000 1.0000 .0698

1.200 1,.4304 1,.5308 1.5985 1.0000 1.0000 .0756

1.225 1,.3833 1,.4612 1.4942 1 . 0000 0.9999 .0803

1.250 1..3402 1,.3918 1.3997 1.0000 0.9997 .0839

1.275 1..3028 1,.3311 1.3213 1.0000 0.9989 .0868

1.300 1,.2622 1 .2771 1.2625 1.0000 0.9970 .0891

1.325 1,.2306 1 .2257 1.2057 1.0000 0.9937 .0909

1.350 1,.2011 1,.1826 1.1608 0.9998 0.9889 .0923

1.375 1..1697 1,.1454 1.1418 0.9994 0.9826 0,.0934

1.400 1,,1443 1,.1071 1.1151 0.9985 0.9753 .0944

1.425 1,,1193 1,.0830 1.0994 0.9968 0.9676 0,.0952

1.450 1,.0980 1,.0564 1.0946 0.9941 0.9599 0,.0959

1.475 1.,0790 1..0381 1.0896 0.9903 0.9524 0,.0966

1.500 1,,0632 1,.0269 1.0817 0.9854 0.9455 0,.0972

1.525 1,,0473 1,.0164 1.0829 0.9797 0.9392 0,.0977

1.550 1.,0356 1,,0066 1.1008 0.9735 0.9336 0,.0983

1.575 1,,0240 1,.0035 1.0907 0.9670 0.9287 0,.0989

1.600 1,,0115 0,,9998 1.0938 0.9605 0.9244 0,.0994

1.625 1,,0061 1,,0012 1.0874 0.9541 0.9208 0.,0998

1.650 0,,9961 1,,0032 1.0904 0.9482 0.9178 0.,1003

1.675 0,,9898 1..0060 1.0789 0.9426 0.9153 0,.1007

1.700 0,,9868 1,,0052 1.0693 0.9374 0.9132 0,.1010

1.725 0,,9815 1,.0096 1.0537 0.9328 0.9114 0,,1012

1.750 0,,9765 1,.0052 1.0501 0.9286 0.9099 0.,1014

1.775 0,,9766 1,,0070 1.0430 0.9248 0.9087 0,,1015

1.800 0.,9704 1,,0045 1.0339 0.9215 0.9077 0,,1016

1.825 0.,9722 1,,0036 1.0394 0.9185 0.9068 0,,1017

1.850 0,,9709 1,,0014 1.0274 0.9159 0.9061 0.,1017

1.875 0,,9750 0,,9981 1.0303 0.9136 0.9054 0,,1017

1.900 0.,9725 0,,9961 1.0330 0.9116 0.9048 0,,1018

1.925 0.,9738 0,,9939 1.0296 0.9099 0.9043 0,,1018

1.950 0,,9733 0,,9915 1.0207 0.9084 0.9037 0,,1018

1.975 0,,9773 0,,9921 1.0260 0.9070 0.9033 0,,1018

2.000 0,,9776 0.,9889 1.0255 0.9059 0.9028 0,,1018

2.025 0,,9813 0,,9874 1.0214 0.9050 0.9024 0.,1018

2.050 0.,9816 0.,9830 1.0231 0.9042 0.9020 0..1018

2.075 0,,9848 0,,9812 1.0289 0.9035 0.9016 0..1018

2.100 0,,9857 0,,9793 1.0252 0.9029 0.9011 0..1018

2.125 0,,9849 0,,9826 1.0256 0.9025 0.9008 0..1018

2.150 0,,9871 0,,9810 1.0270 0.9021 0.9004 0..1018

2.175 0,,9879 0,,9838 1.0228 0.9018 0.9001 0. 1018

2.200 0.,9852 0,,9824 1.0281 0.9015 0.8997 0. 1018

2.225 0,,9871 0,,9827 1.0233 0.9013 0.8994 0. 1018

2.250 0,,9872 0,,9865 1.0224 0.9011 0.8992 0. 1018

2.275 0,,9854 0,,9873 1.0146 0.9010 0.8990 0. 1018

2.300 0,,9863 0.,9926 1.0233 0.9009 0.8988 0. 1018

2.325 0.,9868 0..9914 1.0121 0.9008 0.8987 0. 1018

2.350 0,,9836 0..9946 1.0141 0.9007 0.8985 0. 1018

2.375 0,,9824 0..9944 1.0185 0.9006 0.8985 0. 1017

2.400 0.,9847 0,.9951 1.0197 0.9006 0.8984 0. 1017

2.425 0,,9835 1.,0002 1.0031 0.9005 0.8983 0. 1017

2.450 0,,9826 1.,0011 1.0061 0.9005 0.8983 0. 1017

2.475 0,,9830 0,,9993 1.0022 0.9004 0.8983 0. 1016

2.500 0,,9810 1,,0014 0.9979 0.9003 0.8983 0. 1016

2.525 0,.9811 1.,0034 1.0003 0.9002 0.8982 0. 1015

242
2 .550 0.9817 1 .0039 1 .0110 .9002 .8982 .1015

2 .575 0.9828 1 .0033 1 .0056 .9001 .8982 .1015

2 .600 0.9831 1 .0032 1 .0110 .9000 .8982 .1014

2 .625 0.9838 1 .0048 1 .0082 .9000 .8982 .1014

2 .650 0.9828 1 .0050 1 .0097 .8999 .8982 .1014

2 .675 0.9846 1 .0039 1 .0076 .8999 .8982 0,.1014

2 .700 0.9845 1 .0024 1 .0121 .8998 .8982 0,.1013

2 .725 0.9857 1 .0033 1 .0118 .8998 0,.8982 .1013

2 .750 0.9861 1 .0037 1 .0054 0,.8998 0,.8982 0,.1013

2 .775 0.9882 1 .0023 1 .0055 0,.8997 0,.8982 0,,1013

2 .800 0.9880 1 .0015 1 .0072 0,.8997 0,.8982 0,,1013

2 .825 0.9886 1 .0029 1 .0033 0,.8997 .8982 0,.1012

2 .850 0.9883 1 .0024 1 .0061 0,,8997 0,,8982 0,,1012

2 .875 0.9921 1 .0005 1 .0033 ,8997 0.,8982 0,,1012

2 .900 0.9919 1 .0027 1 .0048 0,,8997 0,,8982 0,,1012

2 .925 0.9943 1 .0008 1,.0052 0,,8997 0,,8982 0,,1011

2 .950 0.9968 1 .0025 1,.0064 0,.8997 0,,8982 0,,1011

2 .975 0.9963 1,.0033 1,.0037 0,,8998 0,,8982 0,,1011

3 .000 0.9977 1,.0007 1,.0092 0,,8998 0,,8982 0,,1011

3 .025 0.9986 1,.0010 1,.0035 0,,8998 0,,8982 0,,1011

3 .050 0.9991 1,.0007 1,.0057 0,,8999 0,,8982 0,,•1011

3 .075 0.9995 1,.0008 1,.0045 0,,8999 0,.8982 0,,1010

3 .100 1.0012 1 .0007 1,,0036 0,.8999 0,.8982 0,.1010

3,.125 1.0033 0,.9997 1,.0060 0,.9000 0,.8982 0..1010

3 .150 1 . 0040 0,.9999 1,.0003 0,.9000 0,.8983 0,.1010

3,,175 1.0047 1,.0020 0,.9976 0,.9001 0,.8983 0..1010

3..200 1 . 0044 1,.0011 1..0013 0,.9001 0,.8983 0,.1009

3,.225 1.0064 1,.0006 0,.9970 0,.9002 0,.8983 0,.1009

3,.250 1.0057 1,.0015 1,.0040 0..9002 0,.8983 0,,1009

3,.275 1.0041 0..9990 1,.0040 0,.9003 0..8984 0..1009

3,.300 1.0060 0,.9996 0,.9988 0,.9003 0..8984 0..1008

3,.325 1.0068 1,.0005 1,.0006 0,.9004 0.,8984 0..1008

3,.350 1.0045 0,.9982 1,.0012 0,.9004 0,.8985 0,,1008

3,.375 1.0050 1,.0005 1..0000 0..9004 0..8985 0,,1008

3,.400 1.0053 0,.9992 1,.0044 0,.9005 0,,8985 0.,1008

3..425 1.0043 1,.0009 1,.0046 0,.9005 0..8985 0,.1008

3,.450 1.0054 1,.0001 1..0054 0..9005 0.,8986 0..1007

3..475 1.0050 1,.0003 1..0049 0,,9005 0.,8986 0.,1007

3..500 1.0032 0,.9991 1.,0073 0.,9006 0. 8986 0. 1007

3..525 1.0051 0,.9998 1..0032 0.,9006 0. 8986 0.,1007

3..550 1.0038 1,.0005 1.,0019 0,,9006 0.,8986 0.,1007

3.,575 1.0024 0..9998 1..0012 0.,9006 0.,8986 0.,1007

3. 600 1.0023 0.,9997 1.,0020 0.,9006 0.,8987 0.,1007

3.,625 1.0023 0..9989 1,.0000 0. 9006 0. 8987 0. 1007

3.,650 1.0013 1,,0007 0,,9990 0. 9006 0. 8987 0.,1006

3.,675 1.0033 0.,9994 0.,9961 0. 9006 0. 8987 0. 1006

3. 700 1.0030 0,,9999 1.,0022 0. 9006 0. 8987 0. 1006

3. 725 1.0022 0,,9997 1. 0052 0. 9006 0. 8987 0. 1006

3.,750 1.0018 0..9993 0.,9975 0. 9006 0. 8987 0. 1006

3.,775 1.0014 0.,9997 1.,0010. 0. 9006 0. 8988 0. 1006

3, 800 1.0017 1.,0003 1.,0023 0. 9005 0. 8988 0. 1006

3.,825 1.0025 0..9996 0. 9988 0. 9005 0. 8988 0. 1005

3.,850 1.0026 1,,0006 0.,9966 0. 9005 0. 8988 0. 1005

3.,875 1.0009 1.,0005 0.,9966 0. 9005 0. 8988 0. 1005

3.,900 1.0021 1.,0001 0.,9975 0. 9005 0. 8989 0. 1005

3..925 1.0015 0.,9998 1.,0027 0. 9005 0. 8989 0. 1005

3.,950 1.0021 1.,0002 0,,9999 0. 9005 0. 8989 0. 1005

3.,975 1.0007 0.,9992 0.,9987 0. 9005 0. 8989 0. 1005

4. 000 1.0000 1.,0000 1.,0000 0. 9005 0. 8989 0. 1004

243-
RADIAL DISTRIBUTION FUNCTIONS AND LOCAL COMPOSITIONS FOR T*=3 . ^22/^lr 2.00 p*- 0.178 x^-O. 9502 .^2:/hr '')0

R* Sll ^12 822 ^11 hi X22

0.850 0.0044 0.0001 0.0000 ,0000 1.0000 0,.0000

0.875 0.0343 0.0028 0.0000 .0000 1.0000 0,,0000

0.900 0.1351 0.0300 0.0014 ,0000 1.0000 0,.0000

0.925 0.3339 0.1320 0.0220 ,0000 1.0000 0,.0001

0.950 0.6046 0.3614 0.1150 ,0000 1.0000 0,.0003

0.975 0.8777 0.6887 0.3662 ,0000 1.0000 0,.0013

1.000 1.1180 1.0471 0.7566 ,0000 1.0000 0,.0036

1.025 1.2967 1.3482 1.1853 ,0000 1.0000 0,,0071

1.050 1.4053 1.5559 1.5636 ,0000 1.0000 0.,0118

1.075 1.4640 1.6664 1.775] ,0000 1.0000 0,.0170

1.100 1.4841 1.7030 1.879t, ,0000 1.0000 0,.0221

1.125 1.4766 1.6911 1.8850 ,0000 1.0000 0..0269

1.150 1.4516 1.6469 1.8219 ,0000 1.0000 0..0311

1.175 1.4201 1.5908 1.7320 ,0000 1.0000 0..0347

1.200 1.3838 1.5286 1.6614 ,0000 1.0000 0,.0377

1.225 1.3445 1.4578 1.5365 ,0000 1.0000 0..0402

1.250 1.3101 1.4000 1.4778 ,0000 0.9999 0,.0421

1.275 1.2745 1.3397 1.4019 ,0000 0.9995 0,.0438

1.300 1.2357 1.2938 1.3425 ,0000 0.9987 0,.0450

1.325 1.2070 1.2431. 1.2790 ,0000 0.9971 0,.0461

1.350 1.1801 1.2039 1.2598 0!,9999 0.9948 0,.0469

1.375 1.1562 1.1655 1.2166 0,,9997 0.9918 0,.0476

1.400 1.1328 1.1383 1.1967 0,,9993 0.9882 0,.0482

1.425 1.1091 1.1095 1.1856 0,,9985 0.9843 0,.0487

1.450 1.0938 1.0858 1.1666 0,,9973 0.9804 0,.0491

1.475 1.0761 1.0670 1.1539 0,,9955 0.9766 0,.0495

1.500 1.0610 1.0575 1.1538 0,,9932 0.9731 0,.0498

1.525 1.0469 1.0484 1.1502 0.,9905 0.9698 0,.0502

1.550 1.0359 1.0359 1.1520 0.,9875 0.9670 0..0505

1.575 1.0246 1.0357 1.1300 0,,9844 0.9645 0,.0507

1.600 1.0161 1.0267 1.1530 0,,9812 0.9623 0,.0510

1.625 1.0082 1.0268 1.1573 0,,9781 0.9604 0,.0513

1.650 1.0013 1.0294 1.1386 0.,9752 0.9588 0,.0515

1.675 0.9952 1.0259 1.1195 0,,9724 0.9574 0,.0517

1.700 0.9919 1.0277 1.1236 0,,9698 0.9562 0,.0519

1.725 0.9862 1.0294 1.1142 0,,9675 0.9553 0,.0520

1.750 0.9842 1.0295 1.1069 0,,9653 0.9544 0,.0522

1.775 0.9820 1.0265 1.0894 0,,9634 0.9537 0,.0523

1.800 0.9798 1.0268 1.0943 0,,9617 0.9531 0,.0523

1.825 0.9823 1.0288 1.0869 0,,9601 0.9525 0,.0524

1.850 0.9794 1.0252 1.0625 0,,9588 0.9521 0,.0524

1.875 0.9815 1.0234 1.0629 0,,9575 0.9517 0,.0524

1.900 0.9806 1.0198 1.0563 0,.9565 0.9513 0,.0524

1.925 0.9821 1.0172 1.0454 0,,9556 0.9510 0,.0524

1.950 0.9863 1.0153 1.0407 0,.9547 0.9507 0,.0524

1.975 0.9853 1.0133 1.0446 0,.9540 0.9504 0,.0523

2.000 0.9890 1.0116 1.0405 0,.9534 0.9502 0,.0523

2.025 0.9902 1.0094 1.0325 0,.9529 0.9499 0,.0523

2.050 0.9922 1.0063 1.0233 0,.9524 0.9497 0..0522

2.075 0.9948 1.0072 1.0305 0,.9521 0.9495 0..0522

2.100 0.9933 1.0054 1.0333 0,.9517 0.9493 0..0521

2.125 0.9943 1.0035 1.0381 0..9514 0.9491 0,.0521

2.150 0.9966 1.0004 1.0108 0,.9512 0.9489 0,.0521

2.175 0.9953 1.0005 1.0182 0,.9510 0.9487 0,.0520

2.200 0.9958 0.9984 1.0154 0,.9508 0.9485 0..0520

2.225 0.9966 0.9982 1.0127 0,.9507 0.9483 0,.0519

2.250 0.9959 0.9990 1.0070 0..9506 0.9482 0,.0518

2.275 0.9960 0.9972 0.9987 0,.9505 0.9481 0,.0518

2.300 0.9970 0.9990 1 . 0044 0,.9504 0.9480 0..0517

2.325 0.9942 0.9995 1.0057 0,.9503 0.9479 0,.0517

2.350 0.9945 1.0014 1.0004 0,.9502 0.9478 0,.0516

2.375 0.9944 1.0013 1.0020 0..9502 0.9477 0,.0515

2.400 0.9938 1.0056 0.9985 0,.9501 0.9477 0,.0515

2.425 0.9943 1.0037 0.9911 0,.9501 0.9476 0,.0514

2.450 0.9926 1.0016 0.9929 0..9500 0.9476 0,,0514

2.475 0.9926 1.0030 0.9885 0..9500 0.9476 0,,0513

2.500 0.9917 1.0035 0.9945 0,.9499 0.9476 0,,0512

2.525 0.9917 1.0048 0.9906 0,.9499 0.9476 0,,0512

244-
2.550

2.575

600

625

650

675

700

2.725

2.750

2.775

800

825

850

875

900

925

950

975

3.000

3.025

050

075

100

125

150

175

200

3.225

3.250

3.275

300

325

350

.375

.400

.425

3.450

3.475

3.500

3.525

3.550

.575

.600

,625

.650

.675

.700

3.725

3.750

3.775

3.800

3.825

3.850

3.875

3.900

3.925

3.950

3.975

4.000

0.9918

0.9923

0.9912

0.9920

0.9916

0.9924

0.9908

0.9934

0.9932

0.9923

0.9927

0.9938

0.9944

0.9928

0.9945

0.9960

0.9957

0.9961

0.9961

0.9986

0.9979

0.9986

0.9991

0.9996

1.0002

0.9998

1.0006

1.0014

0020

0014

0010

0018

0014

0023

0017

1.0008

.0015

,0017

,0016

,0009

,0020

,0018

,0014

,0011

,0007

,0004

,0009

,0010

1.0007

1.0014

1.0001

1.0007

1.0010

1.0007

1.0004

1.0005

1.0002

1.0006

1.0000

1.0037

1.0056

1.0065

1.0055

1.0059

1.0047

1.0046

1.0015

0026

0036

0043

0038

0020

1.0038

1.0030

1.0048

1.0034

1.0031

1.0026

1.0033

0031

0030

0021

0007

0020

0.9996

1.0025

1.0003

1.0020

1.0025

1.0024

1.0029

1.0026

1.0029

1.0019

1.0025

1.0012

1.0037

1.0015

1.0020

1.0006

,0020

,0005

,0021

,0026

,0026

,0015

,0020

,0020

1.0011

1.0011

1.0009

1.0011

1.0012

1.0011

1.0005

1.0017

1.0007

1.0000

0.9820

0.9872

0.9881

0.9771

0.9800

0.9785

0.9826

0.9796

0.9774

0.9828

0.9809

0.9702

0.9763

0.9740

0.9779

0.9855

0.9826

0.9737

0.9784

0.9877

0.9886

0.9901

0.9841

0.9883

0.9907

0.9859

0.9889

0.9972

0.9880

0.9944

0.9965

0.9845

0.9926

0.9941

0.9941

0.9938

0.9889

0.9937

0.9950

0.9951

0.9934

0.9953

0.9887

0.9865

0.9866

0.9837

0.9903

0.9998

0.9889

1.0000

0.9920

0.9941

0.9897

0.9908

0.9878

0.9917

0.9916

0.9977

1.0000

0.9499

0.9498

0.9498

0.9497

0.9497

0.9497

0.9496

0.9496

0.9496

0.9496

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9495

0.9496

0.9496

0.9496

0.9496

0.9496

0.9496

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9497

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9498

0.9476

0.9476

0.9476

0.9476

0.9477

0.9477

0.9477

0.9478

0.9478

0.9478

0.9479

0.9479

0.9479

0.9479

0.9480

0.9480

0.9481

0.9481

0.9482

0.9482

0.9483

0.9483

0.9483

0.9484

0.9484

0.9485

0.9485

0.9486

0.9486

0.9486

0.9487

0.9487

0.9488

0.9488

0.9489

0.9489

0.9490

0.9490

0.9491

0.9491

0.9491

0.9492

0.9492

0.9493

0.9493

0.9494

0.9494

0.9494

0.9495

0.9495

0.9495

0.9496

0.9496

0.9496

0.9497

0.9497

0.9497

0.9498

0.9498

0.0511

0.0511

0.0510

0.0509

0.0509

0.0508

0.0508

0.0507

0.0507

0.0506

0.0506

0.0505

0.0505

0.0504

0.0504

0.0503

0.0503

0.0503

0.0502

0.0502

0.0502

0.0501

0.0501

0.0501

0.0501

0.0501

0.0500

0.0500

0.0500

0.0500

0.0500

0.0500

0.0500

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0499

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0498

0.0497

0.0497

0.0497

-245-
Appendix B Plots of Radial Distribution Functions

246
oo

Radial Distribution Functions for T* = LOO

V. = 0.05 £22/^11 = 0-50 p' = 0.1150

n

-

0^0

.o^v^

rf<C'^>»:»>^">- rC'~^'''~'''''''''^''^'''yy^ "°0:«,«o:P^*^

aorjCocoooCO-^^^ -^Jt

in

-

c .

-247
Radial Distribution Functions for T* = 1. 00

x^ = 0.10 £,^ £,, = 0.50 p' = 0.1210

-o

- ^

o

o

o o

3

- O o

o

c\i - o

o

o o ^ .,-.^-y-Y-i"/''<>-^Cy^^CVYV^r-/-'

o

^c^i^iADO^b^to^^^^^^^ " -'—uxcu:

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

3.0 3.5 4.0

in

o

cvi

Qfl

o O

o

o o

o %:opQQoj:)or^-rTonnnoocmxjoc^^

in6

o

6-

0"

«e^ 1

I

. 0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

-248-
o

Radial Distribution Functions for T* = 1. 00

X, = 0.25 ^2^/^,, = 0.50 p' = 0.1390

in c o o Q o

rj

O

in

o

°

in o o

T ^Ors. _,-<y-of>30COCOCCCrr-rrY-r--- -

vn ^ ^=^:oc^»ccooocooooocaAJ-^^^ oooo.^^

c

- c .

-

0.0 0.5 1.0 1.5 2.0 2.5 30 35 40

on

"

in o%

o

w

- o

o

fti in o

o

o o ^ _r<pC«^Orvv- . - ~rr^--^'''~^'^'~'~'^~''~'Conr WM "^ctxxxDOc^:^^^

-1 VJQ^^JQ^JQ(-^-^J^J^J3G^-*.J ...... u^jiA^

ino

- o

o _ o

3.5 4.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-249-
Radial DLstnbuLion Functions for T' = 1.00

X. = 0.50 £,.,£,, = 0.50 p' = 0,1900

n

- o

r>

-

in _ (\i

^J

-

ino

O

=

n

-'JCo3ococ)Cca;u::i!x3cooC)CO-^''^- ---'-^..^-^a..a..a^

00 05 1.0 1.5 2.0 2.5 3.0 3.5 4.0 n

-

in

o

o o

o

M in O

o o

'<^^^'^^^'=*y-^yxuujuu^^uu:^^^

in

-Ctc^3t5300COCCC^>>' o

- oo . o

0.0 0.5 2.0 2.5 3.5 4.0

0.0 0.5

250
Radial Distribution Functions for T' = 1.00

X, = 0.75 £:2/'^u = 0-50 P' = 0.3030

n

- o

d

-

in

- o

o

o

id6

- so

.

0.0 0.5

in

o

in

Ofl

l.O 1.5 2.0 2.5 3.0 3.5 4.0

o

o o

o

°0o

o

_n_

aC)OC>>j^>,Qy^y3CCQCQCB>^^

in6'

°c^^'

4.0

251
o

m

Radial Distribution Functions for T* - 1.00

V, = 0.90 £.2/^,^ = 0.50 p' = 0.4660

T>- ^0

in oo

?i-

^1

"^-E ^

^"

^. -<>'^°^^'>>^. -wWV^W-v-^

^^cocc^'^- ^..xxx^^-^-^-^^^^^^-^^o-^^-^^

in

c . 00 05 1.0 1.5 2.0 2.5 3.0 3.5 4.0

OX) o

o o

o

9, r-fOOr.,

' (:\:jQ(^y~pjstXPrKoooxoc^^

-?*©- 0.0 0.5 10 1.5 2.0 2.5 3.0 3.5 4.0 on

-

\a

o

CM CXI "q

o

o o

o

o

o

bo

Qoo° o

:on ^ 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

252-
Radial Distribution Functions for T* = 1. 00

X, = 0.95 £,,/£,, = 0.50 p= 0.5830

in CDo o o

° o

- in o

o

O o

ino-

=

0.0 05 1.0 1.5 2.0 2.5 3.0 35 4.0

4.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

R*

253-
Radial Distribution Functions for T* = L.OO

X, = 0.05 £,3/£,^ = 1.00 p' = 0.1220

T

"

c

'5)

n

-

in °

Of- o

- o

ino

3

T -,--^^^=^^^^0^

lO XP3 - ^^-'^'^mo

C - 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

inn

- o oo

O

o o

oo

o o ^^^^-pCC*-*-^^

_ „-v~nCCCOOoryv-v^

.

o-o

o . '°=w^ "'='^='"^'

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

inn-o

(b

lO oO

w o o

CM

o

o O

o-o

o_ 0C3O° ^ 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

254-
Radiai Distribution FuncLioiis for T* = 1.00

X, = 0.10 ^,./^,, = i-00 p' = 0.1270

o

o

o

o

o

o oo

^o.

''^^oo,:,,ooca>:o3o:o^"^"^^"' -^Oo^^xijcuj

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

inn-o

Oo

in

c\i- o

01] ifj

o

I

o

o

ind

- o

o

.

-^^^

0.0 0.5

00 in

0.0 0.5

255
Radial Distribution Functions for T* = 1.00

X, = 0.25 1.00 p = 0.1470

in

rio

!nin _ CM

CM

Sb

oo

oo

O

o

o ,^^iCCCOOOor.Xrv^_

^^^^^:^.ocoooa^ooa^^>^«^^ "^"^^^^

0.0 05 l.O 1.5 2.0 2.5 3.0 3.5 4.0 n-o

co- Oo

inCM- o

o

° o

21 '^' o

o o oo q ° -rcC^-'^'^^^''^^:>>, .f.^c'YtTnnnfYv-v-vvy. "

^wtocP'^^ ^^MSoocooO-^-^^^ ^^

in ^^cooccc*^^^'^ o

- o

o . 0.0 0.5

in

1.0 1.5 2.0 2.5 3.0 3.5 4.0

co- o

n

- Q>

in oO

cj- o o

0. "' o

o

Cll 00 in o —

q q ^cPf^^^^o^ .w^oocrrrv^- .^^oc'-v^w^ ^^ u 0^ ^^:ooooc^^^

-o^^^^^^-^^xr—

6-

o

6. ^ seeS

I

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

256-
Radial Distribution Functions for T* - 1. 00

X. = 0.50

22 1.00 p = 0.2000

n

- o

n

-

o

o

o

o

OO in o o o .rf<:f=f^'^^'='yyy,. *" o "^^cocxP^

-jqOOLP^ '-^^KXTCil m

O"

o

o . 0.0

in

0.0

0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 CT

O

coin oo

o

o

CM o

o —

q

o

o

in "oc.^

o-o

o

.

0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-257
Radial Distribution Functions for T* = 1.00

x^ = 0.75 Sjj/c,, = 1.00 p = 0.3190

CX)

qn

in

cvj o

cvi

in

C23o

o °o

o

o o

s

^.,^^^^^^^^^^^^^p>>^<:c^^ ^^^^Q'^^QQ^^f^gooooeeeeoooc

ind

o

3 J :

i co i 0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0 o

<r> -

in

evi- o

cviN in

O

in6-

o

d.

OocP

CO 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

GO

CT

in

cvi- o

in

q

o

° o

o

o

O

indo

d.

°o

c

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

258
OX) yn

Radial Distribution Functions for T' = 1. 00

x^ = 0.90 £22/^11 = ^-QO p' = 0.4940

2.0 2.5 3.0 3.5 4.0

in0-

Q ^-i* ^MXJO'^^'^" 'JCOX)UOCCXJUJUUOCXCC!GOUU»JJUUOCC

QocP

. 0.0 0.5

0.0 0.5

259
Radial Distribution Functions for T' - L.OO

:-:, = 0.95 ^zz/^,, = 1-00 p' = 0.5980

o

no

_ c\j -

=^ in

o

oo

oo

o

ino

- ''o.xx^''

--^ccca^^^

3.0 3.5

0.0 0.5

-260
Radial Distribution Functions for T' = 1.00

X. = 0.05 £,./£,, = 1.50 p" = 0.1280

o

Of) O

o

° Oo

o

°

oo

O O -^ cOa>^Cco=ccP^

i-aee- 0.0 0.5 10 1.5 2.0 2.5 3.0 3.5 4.0

in

O

co- oo

in o

cvi" o O

o

Qfl ino

oo

o o

o

o ^

5o, noooonnocoootvw.

ino

o

.

o °Q:^DOC^:^=^'°°^>oo^"

^q:,:^o-"^^^'^'^''^^°^

0.0 0.5 10 1.5 2.0 2.5 3.0 3.5 4.0

in

'*•- o

Q)

in oO

o

n- o

in

in

o

o o

o

ind"

o

6.

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-261
Radial Distribution Functions for T* = L.OO

x^ = 0.10 ^.o/^n = i-50 p' = 0.1310

o

ino o

in _ ojin o c 0-. -.000^^°^=^'^''"'°^-^

in

0.0 0.5 I 1.5 2.0 2.5 3.0 3.5 4.0 o

inn-o

irjin

c\iCM O

ino

°

rC^X^^^^^^^^^O^ -rOCOCOOrr^v^-

indo

o _

o "oc^o,.^" "^-^-

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 o

622

1.5

2

2.5

3.0

3.5 4

1

1

1

1

1

1

.oo

° o

^

CPOOO^^^

-d:a3O0r>^ .w-rtxyyv

indo

o_

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

262-
Radial Distribution Functions for T' = L.OO

X. = 0.25 £,,.£,. = 1.50 p' = 0.1520

inn

- o

n

-

in

- o

ino

0^^o

rv oo

°

ino ^^^o^xxxcco.--^^ ^ '^^^

0.0 0.5 10 1.5 2.0 2.5 3.0 3.5 4.0 o

ino

n

-

in

c\i- o

o

o

CM O

qE ^'

in

o

°o o r, _wtCC<2C^^^O^ . ,wYTTCCOCnrrv-v-^.

ino-

° "oc.x.,.:'^^^'^

'^^c^^^^^^'^'^'^'^-

o

o

.

2.5 3.0 3.5 4.0

0.0 0.5

-263
Radial Distribution Functions for T' = 1.00

x^ = 0.50 £22/£u = ^-SO P' = 0-2100

4.0 T

"

lOo

n- o^o

o °

N o

uo w"

in o

o o r^^~^^2K- -/-YYTnC^'"'^'^'

in o ^°c«p:-^=°='^^^^=^

•^^tUoOOOO'XC'^iOOOU.'.i. o-o

o J0.0 05 1.0 1.5 2.0 2.5 3.0 3.5 4.0

o

ino

co- *o

in

c\i- o o

N o

in

o

o °

o o /-v ,-rff^^^r\ ' _y-«-v^nrrYYYVy-i- - -j-nooCOOOOC

ino

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-264
00 >n

Radial Distribution Functions for T' - 1.00

X, = 0.75 £o2/£;, = 1-50 p' = 0.3380

o

- o

inO

Oo

o

o o

^ry -,-v2,-i:CCO0Crrw^ _~.

01 ^Cb'ww%>>^^^^^^^^^°^^^'"°'^'^'^

^^occorcxxccoc

00 0.5

n-o

CT <3DO

O

o

Oo

o O _0O« ->C^^*^0~ _w^-v-N,^,Y-Y-i'^'~''""'"0^rrYYi

in6-

q

6.

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

-265-
OX) ^

Radial Distribution Functions for T' = 1.00

X. = 0.90 ^asAu = 1-50 p" = 0.5080

O

o o o oo

Qfl in o o

rv-i o

d-

' ^tcooo^ fjQxuL^:co""'''"""'^^ooooc)ouiAAA.AAjj o "^^^ o

6.

0.0 0.5 10 1.5 2.0 2.5 3.0 3.5 4.0

ITS

O

c\i- 6>oo

o

ind"

o

d.

o

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

266
lO

CM O N

6-

o

6,

Radial Distribution Functions for T' = 1. 00

X, = 0.95 S32^^.: = ^-SO p' = 0.6120

7?

- O

oo

o

o

o oo o O .'^cP"^-^3o„ vY^f'i<^0<">f"^Pr^-^- - , ^r-irrrrl

lOo

-

. .-

0%o o

o o o

o o oco^

Q 2 9^ '^Qt^uucncujxucr^'^'^r^^'^:^^^^ o QV

iX>0 ,11. ' 0.0 6.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

267
Radial Distribution Functions for T* = 2.00

Xj = 0.05 S22/£„ = 0-50 p' = 0.0910

00 0.5

c\j -

o

win \%1 -" \i

o

0.

°0 -o^

X:«ocooocO^^

lOO" o o

o. , 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-268
Radial Distribution Functions for T' = 2.00

x^ = 0.10 ^ssAu = 0-50 P = 0.0945

n

-

in

(3&> o

- in O

O ^-^o_^- -P(-rnnr«oCOcnrrYYv-cncrnnr "

^^-J'-^ccococoococoocm:^''''^'^

'^'^txiocooc

inoc

o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5

-269-
Radial Distribution Functions for T' = 2.00

x^ = 0.25 ^zz/^n = 0-^° P' = 0.1070

cvj- o

- »n

o

"

-uooocxiooocoocca^^^^--'-^^'''^

in

o

o . 0.0 05 1.0 1.5 2.0 2.5 3.0 3.5 4.0

cjo

CJ- o\

in ° \K

CM o o

o

ino- o o

o J0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

lO

c\i- o

Nin -%

^ - ° "i CM

CM ^i. ^ o %

o

ino-o o o.

1 i 1 1 1 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

270
lO

01 O CM

Radial Distribution Functions for T' = 2.00

x^ = 0.50 s^/e^^ = 0.50 p' = 0.1371

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

"'-OOOOCCCM" O

o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

271-
Radial Distribution Functions for T* = 2.00

X. = 0.75 e.s/^u = 0.50 p' = 0.1901

272
Qfl

Radial Distribution Functions for T* = 2.00

X, = 0.90 SaaA.i = 0-50 p' = 0.2-;70

o

c\i -

in \

o

o

^^Ocaxooooo°ccotxx3ocoooceccoooooc)ocic)coc^ o

(-1 o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

c\iCM o

O

^

Qfl - o

inooo _ 1 :on

0.0 0.5 2.0 2.5 3.0 3.5 4.0

4.0

273
Radial Distribution Functions for T' = 2.00

X, = 0.95 ^az/^n = 0-50 p' = 0.2742

o

o ' V .._

O"

o

o . 0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 o

in

(4 O M

d'

o

d «©-

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-.274-
Radial Distribution Functions for T' = 2.00

X, = 0.05 ^aaAu = ^00 p' = 0.0979

o 0^

- «n

o

S>

°rv^ rtOoOocCVxscrv- ^-_ °'^ccd:oxoco:x^^=^=^

-"-^-max ^

oo

o

.

I

3.0 3.5 4.0

-275
Radial Distribution Functions for T' = 2.00

x^ = 0.10 ^saAii = 1-00 p" = 0.1019

c\j - o

- ifi zE "'o

o

ino

* o

o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

c\jo »h

cvj- o

lO

"^ o

o

CM o ^o °o. ,rO:>»»:o

\n "<^>:a..-c<,:*^^'='^^

*-*-OCCCOCCOUUC<X>CiUu«»'-'-'-'-».*j«.

oo o

o J

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

in

o

c\i- o

\a o o

oo

o %

6-

o

6.

o

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

-276
- to

Radial DistnbutLon Functions for T' = 2.00

x^ = 0.25 £,,/£^^ = 1.00 p' = 0.1170

^0

%

%

0^ o

o

^'Vi ^n'-noOCOOODOrrrry-YvvY-.- - ^^^occ^xoocooooccooco^^^-^^^^

o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

inw

o

(M-

^

o

ta o 9l^ IM o ^O

^^=Cooocx«c^=^^

U)oo o

d.

-211 -
Radial Distribution Functions for T* = 2.00

X, = 0.50 e^^/e^^ = 1.00 p' = 0.1530

0.0 0.5 L.O 1.5 2.0 2.5 3.0 3.5 4.0

in

c\io

"^a

o

o

"

^^^^oooooooooc?:^^^^^^''"^^

o

d

.

:on _—

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

^^ 0-5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

278
Radial Distribution Functions for T* = 2.00

X, = 0.75 e^^/e^^ = 1.00 p' = 0.2180

72

-

O

iTJ

O

o o

A.

.^jQq^^^^j^^qQjj(j(j^j,^^

. uuuuuUOOOOCXI

O

"

o

o

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

in

O

ino-o

o.

•^QXXJCOIXUUOOOUUC'^^^*''^'"^^''^^'^^^^^'^^^^^"^'^

o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5

279
Radial Distribution Functions for T* = 2.00

X. = 0.90 £„/£,, = iOO p' = 0.2800 22' U

T2

'

O

CV2- o^L tO <^

2B o

c o

inO"

~

/-\ c .

-280-
Radial Distribution Functions for T' = 2.00

X, = 0.95 £.„£., = 1.00 p' = 0.2981

-281-
Radial Distribution Functions for T' = 2.00

X, = 0.05 s,,, £,. = 1.50 p' = 0.1050

o

h

o

(S) - lO

Oq

o ^.. .^^-^^-ocPccccoooa^^vv^,

^* CO ^^3,^:P^3oa^ -. 'iw.^.^ju^

irt ^'^-*'*^onooC'CyjOO'^

c

,

0.0 0,5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

w- *o

o

evi"

CM kC O o o

o

^°^'<>:..rr.^:^^='^'-^ "^^>=^=cu:axc.,a^^^^^^^^^

lO ^-ooooo-^^^ o-o

o J0.0 4.0

4.0

282-
Radial Distribution Functions for T' = 2.00

x^ = 0.10 £„A,, = 1.50 o' = 0.1095 22' II nin

o %

- in

o .^y^^XCCOOOCocOv^-^. . ^* '^^^^'^tlrvvv.v-.-vv.v-OCOCOC^^cfXf^f^ '-ooccyco^:

Irt '-MDOOOOCOO-'-*-' o3c . 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 ntO

o

OO "'

o

oo

o o ^*YV"v~. ^-"Orvy. --QTT'-YYTnnrvicr

^* ^Ocw^^^^w^^^^^^^ ^•^'^^^cooooocu-'-'^^^^

Irt ^-Oxocc-^ o-oo

.

283
Radial Distribution Functions for T' = 2.00

X, = 0.25 £^,, £^, = 1.50 p' = 0.1260

o

fj"

- in zE -'o

a,

o

inoo

0.0 0.5 l.O L.5 2.0 2.5 3.0 3.5 4.0 on

-

\a(M-

*o

o O w- oo

cM >n o

o

Qfi -

o o ° o ^pxo

in °^:tcocooc..^^^^^''^

'-OX)C.X3C00U!XC^^*^^^ "^ ^

o-o o o J

2.5 3.0 3.5 4.0

0.0 0.5 1.0

-284-
Radiai Jistribution Functions for T' = 2.00

X, = 0.50 ^sa/^n = ^-^0 P' ^ 1650

I.T

O

%

clO -" o o

o o ^-^^>:oocoooccooccoo3cca^^^cnr>^-^^^

inc

- o

D

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

CDlOMO

CM in = \

O

o

';<-*-UOonrvv-^.-.— - -r'v-YYYTrifYYYTnnr ^^ "^^Qooooooooccot>-^

iTi O"

O

o J0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

285
!V

O

Radial Distribution r unctions for T* = 2.00

X, = 0.75 £„/£,, = 1-30 p' = 0.2435 22' '. 1

O

ind

o

o %

oo

0.0 05 10 1.5 2.0 2.5 3.0 3.5 4.0

in

o

o o O

c)

indo

o.

o

Hj^^qqOCOCQ^OCOOOOC^-^'^" " *-^-*^^

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

O

CM- ^O

tO

(M

o o

o

lA

q

d.

00 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-286
Radial DistrLbation Functions for T' = 2.00

X. = 0.90 22' M

1.50 p" = 0.3058

OX)

o

(^^

o^.

in °\

O

0^

o ^0

'-"'^Cq-jooqi^jcocxxicccccolxu;^^

iT) o-O

0.0 05 10 1.5 2.0 2.5 3.0 3.5 4.0

-287-
Radial DistributLon Functions for T' = 2.00

X, = 0.95 £,2/£,, = 1-50 p' = 0.3215

:j

-

o

CV

"

in 0^

o '^

o

O

o

ino

-

o

0.0 0.5

288-
o

Ofl

0.0

Radial jistribation Functions for T' = 2.00

X. = 0.05 ^22' '^11 — -)2.00 p = 0.1113 n

- o

(n

-

in 8,

c\i- o^o

o

o

9)

in o

o o ^0 ^..w.c^:ccocoooa:^

^°°CW>3ro<CCOOC>>^*^

MJ ''^mxck^xxx;

lOo

- o o

o _ 0.5 1,0 1.5 2.0 2.5 3.0 3.5 4.0

n-o

coin

cvi" o

Qfl ino

0°

o

oo

m

do

6-

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

289
Radial Distribution Functions for T' = 2.00

X, = 0.10 £,2A„ = 2.00 p' = 0.1162

o

- lO

%

60 -"o ^0 ^CWDCCCOOOOOO^^,.^ • ^Cr\ -/-i:pLS^"" ^^^UCOCOOC

o-o

o J0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 no o

60 -

o

O

o o ^ ^^^"^^tK.^ -,^rvYYTnnfYWYy4

"^ctococ.^^

^^MiocooooOL*-*^' ^

ino-o o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 n-o

C3"

\D a,

CM- o°

O o

M ^- o CM 60 A O

"*" o

o /-/TQ~i_ o

o o ^cP^^«^ ^

O^ ^^^-tCCXDOO'^

in °Cb0C^" o-o

o_

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

-290
Radial Distribution Functions for T' = 2.00

X, = 0.25 ^agAii = 2.00 p' = 0.1338

4.0 CT

o o o

o

o o

o ^^^^^^^^"""^Vl- /vr^-'^'^'^ ' ' "^''Yyi ** ^'^ttnnoa^.:''^^'"'^

^^^OormooOL^-C*^ "-

in '-OOOCO-'-^ o-o o

0.0 0.5 10 1.5 2.0 2.5 3.0 3.5 4.0 o

c\j- o

c\i"

o

° o

o

N tti

J) "

O

o

oo

^CF'^^O^. .^YYTOOOQr-y-NQ-- - nOOT*^

o-O

d.

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

291
Radial Distribution Functions for T" = 2.00

X. = 0.50 :;2' ^1 = 2.00 p' = 0.1772

n

-

in

CVJ - <%

o °°o

!^J- o

° °0 - lO o

a -

o o ^0 ^^mCCCOOOOccrw-v^--

.

"

"^C^DCCOOOOOOOOOOCCCCCC^

jJJJ- '"'JOOCCO. I X

lOoo o

o J

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 n

-

in o^o o

o

oo

00 -'

o o

o O O ^" ^v^.C^'^^'^''*"*^ '^^^cooooooococc^"'

^-MDcouULIJUUCCCXJOt-*-*-''"''''-'"*-*-*-*-

ino

- o

o

.

o

4.0

292
in

Radial Distribution Functions for T' = 2.00

^i = 0.75 ^2^.^,, = 2-00 p' = 0.2571

?J

-

o a,

O

lO O

-

CD o

o

0^ _p(-prtTXCOt:iTf-YY>-YY-v-YYYY-ViDO

"

^Ctc^^j^^QQQOOOOOOOCOCOOOOXJ-^^- -WOOXXXXJ

o

o

0.0 05 1.0 1.5 2.0 2.5 3.0 3.5 4.0 o

n

-

o

c\i

o

o

o

ino

- o

o .

Q ^^^i5o^0:ODCCrrrcffXfi'-^ ''•^Joocxxxxxxxxxccccccfxxxxxxx.

o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5

293-
Radial Distribution Functions for T* = 2.00

x^ = 0.90 £22/£n = 2.00 p' = 0.3315

0.0 0.5

294
Radial Distribution Functions for T* = 2.00

::, = 0.95 ^.o/^^, = 2.00 p' = 0.3387

o

C\iIfl o^\

o

o

X)

inO"

o

O - 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4,0

inCM" O

(MO^^o

in ^

o o

^* 0,.j^ '^COO.^^XCCCOOOOCOCOOOOOCOOOOOOOOOOOOOOOOC

kOo-o

d. o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

-295-
in

Radial Distribution Functions for T* = 3.00

x^ = 0.05 £33, £^, = 0.50 p' = 0.0757

o

ifl

oo

o00

o

o ^

00

d^c

^^'^^bep^ °^cAdoco^co^o"cc»^

,jco^CT:^>:t7:^:r£Qf;rv30ooQc

lO

?«-^ 0.0 05 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5

(Mm

"' <^ s\\

CM O CM • « uo

-* o %:aDOc>^^^

lOoQ

o

o.

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

296
Radial Distribution Functions for T* = 3.00

x^ = 0.10 s,2/£,i = 0-50 p" = 0.0782

297-
Radial Distribution Functions for T' = 3.00

x^ = 0.25 £,2/£^^ = 0.50 p' = 0.0868

1/5

o

E

\

o

o

- o

o _ 0.0 0.5 L.O 1.5 2.0 2.5 3.0 3.5 4.0

c\i -

lO o \

M O

o

. ,,^-^-y-Of-rYVYV"V^^-S'-l/-^/•^y--^^-^^-«-^*-Ly-i^-,J^^ OX) - c^JScoooc^^^^^jy^^lXXGCrx

vn o oo

o . 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5

-298
o

Gfl

0.0

Radial Distribution Functions for T* = 3.00

V. = 0.50 ^2./^,, = 0.50 p' = 0.1053

Ti

-

O

c\iin 6^

o o

o V"%>w^

do

'aoooccujcoumr

0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

c\iin /4&>

** o \

N O

o \^ Qfl - ^"^^-wcx;aiJ-~^>=':TM~~^

lO o oo

c> J

4.0

299
Radial Distribution Functions for T* = 3.00

x^ = 0.75 ^:3/£,, = 0-50 p" = 0.1312

w-

>n"' o^^

N O

o ^°^

OX) -" »xx:a^^..^xcoocooooocoooooccaxoccooccoooo^

o- O

O

O . 0.0

300-
Radial Distribution Functions for T* = 3.00

V. = 0.90 e^^/e^^ = 0.50 p' = 0.1509

-301
Radial Distribution Functions for T' = 3.00

X, = 0.95 £,2/£,^ = 0.50 p' = 0.1580

?i

to-' c^h.

- o

o \^_ a -

inO"

oo . 0.0 05 1.0 1.5 2.0 2.5 3.0 3.5

-302
in ^o

Radial Distribution Functions for T* = 3.00

\-^ = 0.05 c^^/c^^ = 1.00 p' = 0.0813

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

cvj- o

cy- 0^ lO o \

^* '^^^:toxooc>:^i*^

lAo- o O

o.

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

o

1 00^ ,

^^^^trmcCP^

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-303
Radial Distribution Functions for T* = 3.00

x^ = 0.10 £,2/£^^ = 1.00 p' = 0.0844

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

inCM- O

N-

^or\

in o^k -«- o \

o

-/Y^nccmrv-y-v-N,.^^

in

'"^^ocrmcxxC

o-o

o. 00 05 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5 1.0

304
in

o

Radial Distribution Functions for T* = 3.00

X, = 0.25 £.,/£,, = 1.00 p' = 0.0937

CD o

d

o

o

0.0 0.5 10 1.5 2.0 2.5 3.0 3.5 4,0

o

M ' V „

indd - 0.0 0.5 10 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5 1.0

305
Radial Distribution Functions for T* = 3.00

Xj = 0.50 ^zzAu = ^00 P' = 0.1168

oj -

o

c\i-

.^at\.

\a

<sfih o ^^

o

lA

TOo:^jj-f;ccocoooooocoa5X»a^=o°*^^

o-o

o _

306-
Radial Distribution Functions for T* = 3.00

^1 = ^-^^ ^zz/^u = ^-00 P' = 0.1432

tao -

in

o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

evilA 0^\

OX)M O

- V

tndo

d. 30^

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-307
Radial Distribution Functions for T* = 3.00

X, = 0.90 £^ /£,, = 1.00 p' = 0.1590

'^i -

in

"* 0^%

^ o °%^

Qfl

inoo o

o J

308
OX)

Radial Distribution Functions for T' = 3.00

V = 0.95 c^^/s^, = 1.00 p' = 0.1626

^2

-

•~

~ o^!b. q V

lOo

- o o

o _ 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-309
Radial Distribution Functions for T' = 3.00

0.0 5

in

cj -

o

in ^

° \

in

%:coooooooO=^-'^

^^ CCCC- —

oo o

d J

O.C 0.5

0.0 0.5

310
Qfl

in

00

Radial Distribution Functions for T' = 3.00

X, = 0.10 £22/^;! = 1-50 p' = 0.0921

0.0 0.5 i.o 1.5 2.0 2.5 3.0 3.5 4.0

0^

-

°c °^ rT^TCOOOOOfW^Vi- - - - -r-roOCOCCWXt ^ccorrrrt^D^^^^-^

...^.^ccc:"^-^

-311-
Radial Distribution Functions for T* = 3.00

X = 0.25 £„A,, = 1.50 p' = 0.1045 '22' 11

Ofl

?i

-

o

c\j- QgD o ^ ITJ 9,

o ^^ .^vv^CO-OJJOOOnr^-rv-^.^^

-^^^ocoooocococoooco-^'-

inO" o o

o _

o

ITJ

ao

0.0 0.5 1.0 1.5 2.0

o

o oo%

o o

2.5 3.0 3.5 4.0

3.5 4.0

°Cttoo^^

icTP^^^'-'r^aciotxcaxcoooc^^

; 0C3O 0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

312-
Radial Iistribution Functions for T* = 3.00

X, = 0.50 ^aaAu = ^-50 P' = 0.I3I2

0.0 05 1.0 1.5 2.0 2.5 3.0 3.5 4.0

iO

00

o

o

o

o

do

d.

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

313-
Radial Distribution Functions for T* = 3.00

X, = 0.75 £,2/'£,, = 1-50 p' = 0.1601

0.0 0.5 1.0 1.3 2.0 2.5 3.0 3.5 4.0 q

N o °o^^

00 - -O3cr-~^cccaocccooccooaoooococ

ino

-

oo

.

Q ooooajuuxxxxJOCCCOOcxxxxcoocoeGGeeoeoc^^

00 0-5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

314
Radial Distribution Functions for T' = 3.00

X, = 0.90 £,,/£,, = 1-50 p' = 0.1672

4.0

315-
Radial Distribution Functions for T' = 3.00

X, = 0.95 £„/£,, = 1-50 p" = 0.1666 22' 11

316
Radial Distribution Functions for T' = 3.00

X, = 0.05 ^aa/'^n = '-^'^ P' = 00955

o

in

ClX) o

ino

(5^ o

o

o Q)o

<2)%

-"oOOOoOqooocco0.0 0.5 10 15 2.0 2.5 3.0 3.5 4.0

inw

-

o <%

oj- o o

o

in o %

^^c.ooooa.^^^^^'^

. uo(xu:i3ccouccccxw>.'-'.'-'-'-w.

inoo o

O- :of^ 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

o

rain

o

en ao

""

6b

o O

oo o r, O . rP'-^'^^^^^^-^^^tet-i-, -j-wv-t-rY-rYv-Yy.-, rjnooooc

ino-o

o.

O

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-317-
Radial Distribution Functions for T' = 3.00

x^ = O.IO ^aa/^u = 2.00 p = 0991

o

3

O

O Qdo

"""^

.-to,-,.,—. , ^-,,^-f'='f'-=^'-'y--'^^x^

^coooccooctoocococf>^^^*-^"^^

0.0 0.5 10 1.5 2.0 2.5 3.0 3.5 4.0

c\jo

^

oj- o

o

\n

"^ o

N o

^^c^^occo:,:.^'

1/5 oo

0.0 0.5

-318
Radial Distribution Functions for T* = 3.00

X, = 0.25 £^,/£,, •22' = 2.00 p' = 0.1100 11

0.0 0.5

cyo

c\i- o

in o

N o ^ ^ o o o o ^-<:ocoooa"Wv-^ ,,.^^-^-v-YYV-v-v- '^ XdooooooccO^

inO"

o o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

o

M

o o

o

o

o o

oo

do

d.

o

000 1 1

\

\

',

\ ! 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-319
Radial Distribution Functions for T' = 3.00

2.0 2.5 3.0 3.5 4.0

cjo

cvi-

(M ^O

O"

o

^,,^^^,^_^_^^^^^:id=f^^--^^^

o o

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-320-
Radial Distribution Functions for T' = 3.00

X, = 0.75 £3,, £^, = 2.00 p' = 0.1738

0.0 0.5 10 15 2.0 2.5 3.0 3.5

cjin V

0^

^*

in0-

0.

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

321-
Radial Distribution Functions for T* = 3.00

X. = 0.90 €^^, c,^ = 2.00 p' = 0.1759

0.0 0.5

\ N O CM

q

d.

o

o

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

322
Radial Distribution Functions for T* = 3.00

Xj = 0.95 £.,, £^^ = 2.00 p' = 0.1705

^J

-

^

~"

" <?«^^

o

O

no

o v_

U1oo o

o . 0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

-323
^

Radial Distribution Functions for T' = 3.00

X. = 0.05 s^gA^^ = 3.00 p' = 0.1071

o

o

ino

° o

o

c^^occbCd^'^^^''

-#»^ 0.0 0.5 10 1.5 2.0 2.5 3.0 3.5 4.0

o

CT

1/5 W" (5)o

o O

IM" o

O

N if) o

Qfi - o O

° O .w^crv^_ O _^3CP-*-*-''2q-, .^v-rVYYYYrw^

"°°:te<:0^^*='^

^^^.tccco^^-^'-^^^"^^^

iTJ ^-vJ0OCa>^^ o-O

O . 0.0 05 1.0 1.5 2.0 2.5 3.0 3.5 4.0 n

-

in o o

cvjeu in

o o

o

o O

o

in

o

d.

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

-324-
in

Radial DistrtbutioQ Functions for T* = 3.00

X, = 0.10 ^,3/^.: = 3.00 p' = 0.1109

0%

in0-

_ 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

in-

\a

CVi" 6b

o

° o w o

o o

CM lO o M " o O O

o ..^Y-rv^

.pCOC'--''-*-'°QcVvs- --o'^-rY-rrryw^

^3r w~Cf^ ^-'^UV.-YYYY^OOCC*-'-'- -^'- °ctcooocP'^=^^

-^^XOCOL^--

inO"

o o o J

4.0

-325-
Radial Distribution Functions for T' = 3.00

X. = 0.25 £,„ £.. = 3.00 p = 0.1264

CX)

72

'

O

3

n ^

o o

o

o O °0- .w^cccocoooo:,,,^,^

^^^x,:a:ooa.,.-o^^

in o o

-

C3

326
lO

Radial Distribution Functions for T* = 3.00

X, = 0.50 ^22/^11 = ^00 P = 0.1636

71

-

O (sa!> W o ?^ o ^o

\n s^) -" " O

o

"^^^^:ocooccocooocoocxco-^

^-^cccc^I

1/3 o

o

o

0.0 0.5 1.0 1.5 2.0 25 3.0 3.5 4.0 o

CO

-

1/5 w-O

o o

o

o

o

o

o O ° ^n rr^'~*°'^'°°°'^^'~'^Yv-i-- --rmnoocroccoc

1/5 o-O

Oo

-327
Radial Distribution Functions for T* = 3.00

X. = 0.75 £32/^11 = '^OO P' = 0-2130

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

inw

in %

0^ ..WYTYYVW -^

in

-

0.

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5

328
Radial Distribution Functions for T' = 3.00

X, = 0.90 £;2/ £,, = 3.00 p' = 0.1952

R*

-329
Radial Distribution Functions for T* = 3.00

X, = 0.95 ^2z/^n = ^-OO P' = 0-l'^83

72

'

iTJ 6^

o \

CO- O

- V

ino

-

o

o . 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

O ^

o

N o OfVvin

o o

0.0 0.5 l.O 1.5 2.0 2.5 3.0 3.5 4.0

0.0 0.5 1.0

330-
Appendix C

Tabular Data for Direct Correlation Functions

331-
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

o^^/o^^ =2.00 p* =0.115 x^= 0.0498 '22/'ir ^-^^

R* '11 '12 '22 R*

11 '12 '22

0,,025 -8,.2486 -7,.0924 -25,.9420 1 .275 1,.2871 0,.5365 0,.5443

0,,050 -8,.1976 -7,.0288 -25,.6902 1,.300 1,.1791 0,.4733 .5201

0,,075 -8,.1040 -7,.0280 -25,.2919 1,.325 1,.0294 0,.4368 .5008

0,,100 -8,.0027 -7,.0425 -24..7730 1,.350 1,.1725 0,.3686 .4780

0,,125 -7,.8662 -7..0687 -24,.1632 1,.375 0,.8881 0,.3373 0,.4604

0,,150 -7,.7217 -7..1011 -23,.4864 1,.400 0,.6835 0,.3191 0,.4368

0,,175 -7,.5527 -7,.1378 -22,.7628 1,.425 0,.6804 0,.2863 .4129

0,,200 -7,.3795 -7,.1750 -22,.0120 1,.450 0,.5877 0,.2612 .3945

0,,225 -7,.1906 -7,.2093 -21,.2442 1,.475 0,.5025 0,.2444 0,.3725

0,,250 -7..0014 -7,.2372 -20,.4675 1,.500 0,.4745 0,.2205 0,.3514

0.,275 -6..8026 -7,.2490 -19,.6858 1,.525 0,.5579 0,.1904 0,.3312

0,,300 -6,.6065 -7..2441 -18,.9050 1,.550 0,.2799 0,.1743 0,.3094

0,,325 -6,.4047 -7..2166 -18,.1282 1,.575 0,.3322 0,.1659 .2886

0,,350 -6,.2076 -7..1665 -17..3564 1 .600 0,.2437 0,.1524 0,.2735

0,,375 -6,.0073 -7,.0846 -16,.5898 1,.625 0,.1619 0,.1429 0,.2546

0,,400 -5,.8129 -6,.9797 -15,.8330 1,.650 0,.1733 0,.1206 0,.2441

0,,425 -5..6167 -6,.8496 -15,.0852 1,.675 0,.1981 0,.1077 0,.2331

0,,450 -5,.4273 -6,.6999 -14,.3474 1,.700 0,.2113 0,.0954 0,.2217

0,,475 -5..2369 -6,.5273 -13,.6208 1,.725 0,.1767 0,.0878 0,.2148

0,,500 -5..0536 -6,.3411 -12,,9070 1,.750 0,.1517 0,.0822 0,.2067

0,,525 -4,,8700 -6.,1419 -12,,2062 1,.775 0..1693 0,.0780 0,.2023

0,,550 -4,,6937 -5,.9333 -11.,5204 1,.800 0,.0932 0..0631 0,.1962

0.,575 -4,.5174 -5,.7150 -10,,8488 1,.825 0,.0980 0..0625 0,.1918

0,,600 -4,.3486 -5.,4920 -10,,1940 1,.850 0,.2039 0,.0633 0,.1827

0,,625 -4,.1800 -5,,2655 -9,,5571 1,.875 0,.1775 0,.0566 0,.1694

0,,650 -4,.0187 -5,,0366 -8,,9378 1,.900 0,.2184 0,.0542 0,.1579

0,,675 -3,.8580 -4,.8061 -8,,3365 1,.925 0,.1128 0..0515 0,.1469

0,,700 -3,.7045 -4,.5762 -7,,7553 1,.950 0,.1461 0,.0558 0,.1375

0,.725 -3,.5516 -4,.3480 -7,,1938 1,.975 0,.1233 0,.0527 0..1232

0,.750 -3,.4060 -4,.1216 -6,.6526 2,.000 0,.1032 0,.0386 0,.1114

0,.775 -3,.2611 -3,.8984 -6..1315 2,.025 0,.1330 0,.0527 0..1036

0,.800 -3,.1235 -3,.6790 -5,.6320 2..050 0,.0815 0,.0403 0,.0935

0,.825 -2,.9868 -3,,4647 -5.,1540 2,.075 -0,.0919 0..0504 0,,0846

0,.850 -2,.8573 -3,,2548 -4,,6966 2,.100 0,.1274 0,.0461 0,,0792

0,.875 -2,.7289 -3,,0467 -4.,2394 2,.125 -0,.0289 0,.0451 0..0717

0,.900 -2..5854 -2,,8291 -3.,6940 2,.150 0,,0724 0,.0439 0..0649

0,.925 -2..3615 -2,,4679 -2.,9422 2,.175 -0,,0203 0,,0417 0,,0615

0..950 -2..0161 -1,.9643 -2,,0013 2..200 0,,0376 0,,0286 0,,0544

0,.975 -1,.2418 -1,.2109 -1.,0472 2,,225 -0,,0448 0,,0271 0.,0517

1..000 0,.3945 -0,.4133 -0,,2570 2,,250 -0,,0332 0,,0317 0,,0475

1..025 1,.1444 0,.1966 0.,2657 2.,275 0,,0234 0,,0201 0,,0424

1,.050 2,.3128 0,,6645 0.,5647 2,,300 -0,,0401 0,,0236 0,.0392

1,.075 2,.8794 0,,8785 0,,7146 2,,325 -0.,0708 0.,0210 0,,0353

1..100 2,.7086 0,,9955 0.,7548 2,,350 -0.,0238 0,,0160 0..0317

1..125 2,.9659 0,,9924 0,,7339 2,,375 0,,0179 0,,0064 0.,0266

1,.150 2,.3953 0,.9359 0.,7039 2.,400 -0.,0530 0.,0060 0.,0227

1,.175 1,.7690 0,.8221 0,,6631 2,,425 0,,0195 0,,0094 0.,0190

1,.200 1,.9397 0,.7540 0.,6295 2,,450 0.,0277 0.,0131 0. 0138

1,.225 2,.0620 0,.6789 0,,5991 2,,475 -0,,0002 0.,0042 0. 0097

1,.250 1,.4340 0,.5934 0.,5724 2,,500 0,,0149 0.,0054 0. 0078

-332
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

2.00 p* -0.121 x^- 0.0995 ^22/^11 ^22/^11' 0.50

R* '11 '12 '22 R* '11 '12 '22

.025 -8 .5646 -7 .1748 -26 .9280 1 .275 1 .1256 6060 .7867

.050 -8 5133 -7 1603 -26 6622 1 300 1 0074 5438 7652

.075 -8 4193 -7 1728 -26 .2429 1 325 8978 5024 .7411

100 -8 3058 -7 1947 -25 .6980 1 350 7643 4664 .7193

125 -8 1604 -7 2250 -25 0572 1 375 6358 4367 6937

150 -8 0000 -7 2607 -24 3484 1 400 5686 3999 6701

175 -7 8190 -7 3005 -23 5918 1 425 5197 3702 6451

200 -7 6296 -7 3406 -22 8060 1 450 4094 3438 6220

225 -7 4284 -7 3781 -22 0032 1 475 4009 3333 5967

250 -7 2241 -7 4091 -21 1895 1 500 4214 3069 5715

275 -7 0138 -7 4239 -20 3718 1 525 2875 2884 5438

300 -6 8041 -7 4214 -19 5550 1 550 3417 2758 5192

325 -6 5920 -7 3949 -18 7412 1 575 2834 2544 4923

350 -6 3827 -7 3446 -17 9325 1 600 1914 2339 4725

375 -6 1733 -7 2606 -17 1298 1 625 1429 2243 4490

400 -5 9679 -7 1522 -16 3360 1 650 2427 2122 4275

425 -5 7638 -7 0168 -15 5512 1 675 1911 1992 4107

450 -5 5644 -6 8605 -14 7765 1 700 1665 1861 3944

475 -5 3672 -6 6802 -14 0128 1 725 1466 1737 3800

500 -5 1749 -6 4855 -13 2630 1 750 1078 1634 3659

525 -4 9852 -6 2769 -12 5272 1 775 0683 1457 3515

550 -4 8005 -6 0585 -11 8054 1 800 0884 1430 3384

575 -4 6187 -5 8298 -11 0988 1 825 0351 1302 3238

600 -4 4420 -5 5963 -10 4110 1 850 1033 1309 3079

625 -4 2686 -5 3589 -9 7398 1 875 0897 1196 2894

650 -4 0995 -5 1192 -9 0877 1 900 0232 1226 2740

675 -3 9339 -4 8778 -8 4544 1 925 0177 1116 2527

700 -3 7733 -4 6371 -7 8421 1 950 0669 1081 2331

725 -3 6159 -4 3982 -7 2505 1 975 0503 1066 2178

750 -3 4636 -4 1612 -6 6802 2 000 0491 0966 2012

775 -3 3145 -3 9278 -6 1310 2 025 0187 0960 1824

800 -3 1706 -3 6984 -5 6048 2 050 0293 0950 1679

825 -3 0300 -3 4744 -5 1013 2 075 0372 0898 1519

850 -2 8947 -3 2553 -4 6195 2 100 0544 0876 1443

875 -2 7627 -3 0375 -4 1380 2 125 0164 0814 1311

900 -2 6260 -2 8099 -3 5712 2 150 0337 0802 1225

925 -2 4742 -2 4403 -2 7909 2 175 0588 0828 1122

950 -2 0012 -1 9280 -1 8214 2 200 0664 0802 1016

975 -1 2196 -1 1628 -0 8431 2 225 -0 0168 0683 0928

000 -0 2206 -0 3910 -0 0557 2 250 0422 0599 0826

025 9556 2480 4822 2 275 0770 0543 0750

050 2 1056 7391 7807 2 300 0301 0550 0676

075 2 6050 9510 9258 2 325 0136 0450 0605

100 2 8226 1 0517 9715 2 350 0664 0423 0538

125 2 8476 1 0388 9629 2 375 -0 0154 0381 0471

150 2 6593 9837 9372 2 400 0440 0326 0385

175 2 3452 9172 9069 2 425 0444 0305 0327

200 1 9594 8311 8676 2 450 0050 0256 0276

225 1 6401 7567 8345 2 475 0244 0233 0239

250 1 3568 6752 8056 2 500 0161 0243 0157

333
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

^22/^^11 = 2.00 p* =0. 139 ^r 0.2500 ^22/^11= 0.50

R* c'11 ^12 c'22 R* ^11 ^12 ^22

0. 025 -8. 9462 -7.2522 -27. 7580 1.275 1.1083 0.5931 0. 8110

0. 050 -8. 8774 -7.1518 -27. 4832 1.300 1.0119 0.5382 0. 7891

0. 075 -8. 7585 -7.1425 -27. 0438 1.325 0.8627 0.4895 0. 7656

0. 100 -8. 6289 -7.1534 -26. 4750 1.350 0.7066 0.4546 0. 7421

0. 125 -8. 4574 -7.1785 -25. 8072 1.375 0.6374 0.4145 0. 7199

0. 150 -8. 2776 -7.2121 -25. 0704 1.400 0.5842 0.3855 0. 6979

0. 175 -8. 0708 -7.2528 -24. 2858 1.425 0.4406 0.3659 0. 6713

0. 200 -7.,8610 -7.2961 -23. 4720 1.450 0.4155 0.3376 0. 6509

0.,225 -7. 6366 -7.3391 -22. 6412 1.475 0.3671 0.3141 0.,6217

0.,250 -7.,4130 -7.3776 -21. 7995 1.500 0.3156 0.2936 0.,5930

0.,275 -7.,1829 -7.4020 -20. 9548 1.525 0.3191 0.2712 0,,5713

0.,300 -6,,9560 -7.4102 -20. 1110 1.550 0.3162 0.2524 0,,5460

0.,325 -6.,7274 -7.3944 -19. 2702 1.575 0.2725 0.2397 0,,5215

0.,350 -6.,5033 -7.3542 -18.,4355 1.600 0.2647 0.2255 0.,4986

0.,375 -6, 2804 -7.2792 -17. 6068 1.625 0.2237 0.2127 0,.4710

0.,400 -6. 0626 -7.1781 -16. 7880 1.650 0.1642 0.1998 0,,4495

0.,425 -5.,8475 -7.0478 -15.,9792 1.675 0.1963 0.1881 0,.4267

0.,450 -5,,6374 -6.8952 -15.,1815 1.700 0.1854 0.1725 0,,4089

0.,475 -5,,4311 -6.7168 -14.,3948 1.725 0.1457 0.1657 0,,3955

0.,500 -5,,2296 -6.5228 -13.,6220 1.750 0.1498 0.1545 0.,3783

0.,525 -5,,0324 -6.3135 -12.,8642 1.775 0.1115 0.1420 0.,3638

0,,550 -4.,8398 -6.0934 -12.,1214 1.800 0.1509 0.1358 0,,3443

0,.575 -4..6517 -5.8622 -11,.3938 1.825 0.1660 0.1261 0.,3312

0.,600 -4.,4681 -5.6255 -10,,6850 1.850 0.1512 0.1204 0,,3112

0.,625 -4,.2893 -5.3843 -9,.9933 1.875 0.1267 0.1191 0.,2924

0,,650 -4,,1144 -5.1404 -9,,3210 1.900 0.1288 0.1119 0,,2740

0,,675 -3,.9445 -4.8945 -8,,6676 1.925 0.1130 0.1049 0,,2564

0.,700 -3,,7787 -4.6491 -8,,0355 1.950 0.0915 0.1042 0,,2339

0,,725 -3,,6180 -4.4054 -7,,4246 1.975 0.1190 0.0980 0,,2196

0.,750 -3,,4612 -4.1638 -6.,8353 2.000 0.1084 0.0977 0,.2041

0..775 -3,,3096 -3.9258 -6,,2678 2.025 0.0964 0.0895 0,.1852

0..800 -3,,1619 -3.6920 -5,,7237 2.050 0.0878 0.0853 .1728

.825 -3,,0193 -3.4639 -5,.2031 2.075 0.0680 0.0788 .1555

.850 -2,.8808 -3.2409 -4,,7049 2.100 0.0592 0.0777 .1451

.875 -2 .7474 -3.0205 -4,.2091 2.125 0.0491 0.0679 .1325

.900 -2 .6120 -2.7927 -3 .6329 2.150 0.0389 0.0635 .1177

.925 -2 .4369 -2.4299 -2 .8514 2.175 0.0580 0.0634 .1064

.950 -2 .0362 -1.9338 -1 .8874 2.200 0.0744 0.0596 .0969

.975 -1 .2603 -1.1926 -0 .9108 2.225 0.0640 0.0516 .0923

1 .000 -0 .2598 -0.4286 -0 .1226 2.250 0.0643 0.0424 .0797

1 .025 .9055 0.1923 .4205 2.275 0.0448 0.0420 .0721

1 .050 1 .7495 0.6705 .7377 2.300 0.0419 0.0376 .0631

1 .075 2 .2873 0.8846 .8955 2.325 0.0357 0.0301 .0569

1 .100 2 .3952 1.0043 .9440 2.350 0.0372 0.0299 .0494

1 .125 2 .5324 1.0066 .9608 2.375 0.0320 0.0272 .0426

1 .150 2 .2829 0.9527 .9424 2.400 0.0553 0.0229 .0398

1 .175 2 .1669 0.8851 .9265 2.425 0.0371 0.0234 .0325

1 .200 1 .7854 0.7993 .8852 2.450 0.0508 0.0210 .0290

1 .225 1 .5460 0.7239 .8551 2.475 0.0300 0.0180 .0222

1 .250 1 .3869 0.6519 .8319 2.500 0.0300 0.0121 .0194

334
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

^22/^11 =2.00 p* =0.190 x^= 0.5000 ^22^^11^ 0.50

R* '11 '12 '22 R* '11 12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

000

025

050

075

100

125

150

175

200

225

250

10.0780

-9.9918

-9.8465

-9.6650

-9.4443

-9.2030

-8.9399

-8.6694

-8.3892

-8.1100

-7.8281

-7.5512

-7.2757

-7.0070

-6.7418

-6.4839

•6.2307

9844

7434

5091

2804

-5.0582

-4.8417

-4.6316

-4.4273

-4.2285

-4.0351

-3.8481

-3.6658

-3.4903

-3.3191

-3.1549

-2.9950

-2.8423

-2.6939

-2.5498

-2.3547

-1.9927

-1.2204

-0.2522

0.7889

1.6415

0383

2087

1884

0161

8254

6144

1.3760

1.1795

1785

1542

1684

1955

2340

7.2811

7.3375

7.3988

7.4631

7.5259

7.5774

7.6132

7.6229

7.6046

7.5455

7.4547

7.3271

7.1720

6.9860

6.7804

6.5552

6.3170

0655

8070

5426

2748

0046

7348

4.4668

4.2014

3.9402

3.6840

3.4345

3.1912

2.9521

2.7067

2.3324

1.8333

1.1023

0.3453

0.2439

0.7143

0.9204

1.0165

1.0252

0.9928

0.9237

0.8494

0.7759

0.7031

•30.6041

30.2702

29.7438

29.0690

28.2842

27.4255

26.5167

25.5800

24.6273

23.6676

22.7057

21.7480

20.7973

19.8545

18.9217

18.0010

17.0943

16.2015

15.3237

14.4640

13.6222

12.7985

11.9938

11.2100

10.4472

-9.7059

-8.9867

-8.2914

6201

9733

3509

7553

1866

6439

4.1055

-3.4852

-2.6630

-1.6642

-0.6813

0.1166

0.6478

0.9443

1.0897

1.1379

1.1487

1.1216

1.1022

1.0690

1.0399

0.9939

1.275

1.300

1.325

1.350

1.375

1.400

1.425

1.450

1.475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

1.975

2.000

2.025

050

075

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

1.0544

0.8942

0.7875

0.6712

0.5924

0.5353

0.4667

0.4026

0.3692

0.3421

0.2875

0.2815

. 2448

0.2332

0.1979

0.1953

0.1883

0.1714

0.1591

0.1396

0.1406

0.1281

0.1190

0.1096

0.1052

0.1012

0.0942

0.0943

0.0929

0.0719

0.0793

0.0664

0.0607

0.0687

0.0544

0.0559

0.0572

0.0498

0.0540

0.0576

0.0475

0.0424

0.0394

0.0428

0.0433

0.0450

0.0361

0.0268

0.0324

0.0288

0.6433

0.5957

0.5486

0.4989

0.4688

0.4302

0.4008

0.3810

0.3573

0.3305

0.3171

0.2958

0.2717

0.2544

0.2344

0.2195

0.2110

0.2022

0.1897

0.1809

0.1698

0.1548

0.1508

0.1477

0.1403

0.1348

0.1244

0.1177

0.1123

0.1094

0.1011

0.0933

0.0896

0.0826

0.0762

0.0748

0.0727

0.0698

0.0608

0.0523

0.0452

0.0425

0.0381

0.0327

0.0301

0.0283

0.0299

0.0257

0.0208

0.0214

0.9644

0.9407

0.9092

0.8697

0.8392

0.7977

0.7698

0.7295

0.7013

0.6638

0.6328

0.6045

0.5731

0.5403

0.5129

0.4911

0.4597

0.4431

0.4144

0.3955

0.3694

0.3505

0.3348

0.3065

0.2862

0.2678

0.2497

0.2269

0.2076

0.2001

0.1798

0.1658

0.1486

0.1349

0.1282

0.1118

0.0961

0.0852

0.0791

0.0703

0.0618

0.0526

0.0431

0.0389

0.0328

0.0280

0.0245

0.0214

0.0176

0.0164

-335-
"ii^^'w

- 2.00 p* -0. 303 \' 0.7500 ^22/hr 0.50

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0.025 -12,,5168 -8.0083 -38,,5028 1.275 0.9617 0,.7083 1,.3155

0.050 -12,,3946 -8.0295 -38,,0543 1.300 0.8461 0,.6533 1,.2683

0.075 -12,,1837 -8.0604 -37,,3575 1.325 0.7419 0,.6142 1,.2176

0.100 -11,,9179 -8.1012 -36,,4684 1.350 0.6510 0,.5726 1,,1688

0.125 -11,,5991 -8.1547 -35,.4416 1.375 0.5805 0,.5406 1,.1017

0.150 -11,,2529 -8.2192 -34,,3219 1.400 0.5162 0,.5042 1,.0472

0.175 -10,,8816 -8.2975 -33,.1430 1.425 0.4548 0,.4681 0,.9919

0.200 -10,,5033 -8.3849 -31,.9285 1.450 0.4092 0,.4360 0,.9359

0.225 -10,,1171 -8.4810 -30,.6944 1.475 0.3799 0,.4034 0,.8999

0.250 -9,,7348 -8.5796 -29,.4516 1.500 0.3321 0,.3812 0,.8518

0.275 -9,,3533 -8.6699 -28,.2077 1.525 0.3157 0,.3578 0,.8095

0.300 -8,,9806 -8.7440 -26,.9682 1.550 0.2884 0,.3357 0..7734

0.325 -8,,6128 -8.7862 -25,.7373 1.575 0.2665 0,.3175 0,.7300

0.350 -8,,2555 -8.7926 -24,.5184 1.600 0.2479 0,.3040 0,.6878

0.375 -7,,9051 -8.7460 -23,.3142 1.625 0.2283 0,.2878 0,.6416

0.400 -7.,5656 -8.6563 -22,.1268 1.650 0.2105 0,.2678 0,.6078

0.425 -7,,2338 -8.5156 -20,.9582 1.675 0.2005 0,.2576 0..5754

0.450 -6,.9125 -8.3370 -19,.8100 1.700 0.1869 0,.2420 0,.5404

0.475 -6,.5993 -8.1167 -18,.6837 1.725 0.1648 0,.2285 0,.4902

0.500 -6,,2960 -7.8691 -17,.5805 1.750 0.1526 0,.2179 0,.4710

0.525 -6,.0007 -7.5937 -16,.5009 1.775 0.1550 0..2037 0,.4298

0.550 -5..7146 -7.3002 -15,.4460 1.800 0.1385 0,.1925 0..4126

0.575 -5,.4366 -6.9889 -14,.4165 1.825 0.1300 0,.1812 0,.3854

0.600 -5,,1670 -6.6673 -13,.4135 1.850 0.1319 0,.1708 0,.3544

0.625 -4,.9056 -6.3365 -12,.4381 1.875 0.1263 0,.1584 0,.3272

0.650 -4,.6521 -6.0008 -11,.4912 1.900 0.1209 0..1501 0..3031

0.675 -4,.4070 -5.6622 -10,.5737 1.925 0.1204 0..1403 0,.2722

0.700 -4,.1694 -5.3233 -9,.6864 1.950 0.1110 0,.1316 0..2559

0.725 -3,.9406 -4.9862 -8,.8304 1.975 0.1062 0,.1206 0..2275

0.750 -3,.7190 -4.6523 -8,.0068 2.000 0.1039 0,.1162 0,.2116

0.775 -3,.5063 -4.3245 -7,.2167 2.025 0.0956 0,.1086 0,.1884

0.800 -3,.3006 -4.0030 -6,.4612 2.050 0.0956 0,.0972 0,.1826

0.825 -3..1040 -3.6905 -5,.7413 2.075 0.0850 0,.0923 0,.1591

0.850 -2,.9143 -3.3866 -5,.0563 2.100 0.0891 0..0844 0,.1465

0.875 -2,.7335 -3.0904 -4..3804 2.125 0.0750 0,.0796 0,.1247

0.900 -2,.5558 -2.7905 -3,.6294 2.150 0.0734 0,.0752 0..1164

0.925 -2,.3396 -2.3775 -2,.6605 2.175 0.0733 0..0714 0..1047

0.950 -1,.9601 -1.8396 -1,.5541 2.200 0.0554 0,.0650 0..0927

0.975 -1,.2374 -1.1106 -0,.4897 2.225 0.0613 0,.0588 0,.0790

1.000 -0 .2851 -0.3729 0,.3327 2.250 0.0571 0,.0526 0..0790

1.025 .6635 0.2177 0,.9053 2.275 0.0470 0,.0496 0..0692

1.050 1 .3680 0.6514 1,.2104 2.300 0.0532 0,.0456 0..0532

1.075 1 .7990 0.8735 1,.3927 2.325 0.0465 0,.0425 0..0456

1.100 1 .9697 0.9977 1,.4546 2.350 . 0444 0,.0398 0..0366

1.125 1 .9469 1.0050 1,.4859 2.375 0.0426 0,.0322 0..0320

1.150 1 .7982 0.9817 1,.4727 2.400 0.0426 0,.0294 0..0270

1.175 1 .6071 0.9346 1,.4528 2.425 0.0360 0,.0246 0,.0207

1.200 1 .4232 0.8749 1,.4276 2.450 0.0389 0,.0241 0..0131

1.225 1 .2561 0.8234 1 .3916 2.475 0.0298 0,.0196 0,.0089

1.250 1 .0850 0.7642 1 .3593 2.500 0.0213 0,.0141 0,.0104

336
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

<^22^°y\ ="2.00 p* =0.466 x^= 0.9005 e 22/^1= °-5°

R* '11 12 '22 R* '11 '12 '22

025 -14 9704 -9 3769 -48 1031 275 9123 7817 1 6901

050 -14 8056 -9 3973 -47 5301 300 8114 7401 1 6206

075 -14 5450 -9 4320 -46 6515 325 7394 7027 1 5353

100 -14 2063 -9 4789 -45 5345 350 6636 6515 1 4383

125 -13 8105 -9 5415 -44 2463 375 6039 6147 1 3766

150 -13 3770 -9 6176 -42 8413 400 5549 5735 1 2945

175 -12 9179 -9 7106 -41 3605 425 5068 5380 1 1974

200 -12 4492 -9 8161 -39 8321 450 4710 5017 1 1375

225 -11 9735 -9 9343 -38 2755 475 4333 4693 1 0459

250 -11 5025 -10 0577 -36 7043 500 4003 4374 9808

275 -11 0338 -10 1748 -35 1283 525 3691 4088 9317

300 -10 5753 -10 2749 -33 5556 550 3417 3879 8681

325 -10 1237 -10 3375 -31 9926 575 3168 3668 8091

350 -9 6837 -10 3568 -30 4444 600 2937 3485 7724

375 -9 2528 -10 3122 -28 9148 625 2672 3279 7262

400 -8 8332 -10 2143 -27 4072 650 2487 3123 6684

425 -8 4235 -10 0517 -25 9240 675 2246 2944 6008

450 -8 0247 -9 8415 -24 4676 700 2145 2824 5762

475 -7 6360 -9 5796 -23 0397 725 1996 2641 5363

500 -7 2577 -9 2827 -21 6415 750 1904 2491 4960

525 -6 8895 -8 9488 -20 2740 775 1771 2342 4582

550 -6 5315 -8 5912 -18 9380 800 1660 2201 4221

575 -6 1836 -8 2107 -17 6348 825 1622 2064 3862

600 -5 8459 -7 8158 -16 3656 850 1537 1915 3636

625 -5 5183 -7 4074 -15 1319 875 1453 1843 3314

650 -5 2010 -6 9919 -13 9348 900 1420 1742 3109

675 -4 8939 -6 5714 -12 7751 925 1342 1603 2717

700 -4 5973 -6 1494 -11 6538 950 1294 1455 2468

725 -4 3106 -5 7287 -10 5722 975 1207 1381 2308

750 -4 0348 -5 3116 -9 5318 2 000 1165 1258 1954

775 -3 7685 -4 9016 -8 5341 2 025 1094 1221 1746

800 -3 5136 -4 4991 -7 5806 2 050 0971 1089 1649

825 -3 2679 -4 1082 -6 6724 2 075 0853 1038 1367

850 -3 0338 -3 7283 -5 8084 2 100 0821 0963 1288

875 -2 8087 -3 3597 -4 9613 2 125 0705 0853 0932

900 -2 5917 -2 9921 -4 0229 2 150 0724 0789 0846

925 -2 3455 -2 5215 -2 8942 2 175 0663 0742 0957

950 -1 9455 -1 9500 -1 5914 2 200 0622 0669 0787

975 -1 2633 -1 2126 -0 4216 2 225 0554 0604 0746

000 -0 3866 -0 4751 5200 2 250 0522 0619 0672

025 4705 1076 0765 2 275 0486 0491 0429

050 1 1321 5493 4748 2 300 0400 0421 0366

075 1 5037 7837 6635 2 325 0379 0422 0327

100 1 6713 9202 7603 2 350 0354 0342 0209

125 1 6423 9620 8124 2 375 0303 0338 0205

150 1 5545 9754 8187 2 400 0336 0310 0088

175 1 4180 9540 8295 2 425 0275 0315 0042

200 1 2667 8988 8110 2 450 0248 0277 0177

225 1 1436 8752 7592 2 475 0204 0223 0143

250 1 0071 8225 7329 2 500 0194 0153 0130

337-
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

°11^°\\ =2-^° ^* =0-583 x^= 0.9502 ^22/^1= 0.50

R* '11 '12 '22 R* '11 12 '22

0.025 -17.5441 -11.8961 -62.7318 1.275 0.8369 0.7131 1.1533

0.050 -17.3481 -11.9205 -61.9931 1.300 0.7510 0.6674 1.0979

0.075 -17.0441 -11.9628 -60.8579 1.325 0.6895 0.6237 1.0579

0.100 -16.6466 -12.0197 -59.4168 1.350 0.6317 0.5819 0.9838

0.125 -16.1866 -12.0946 -57.7571 1.375 0.5758 0.5460 0.8790

0.150 -15.6784 -12.1849 -55.9482 1.400 0.5298 0.4993 0.8290

0.175 -15.1455 -12.2945 -54.0399 1.425 0.4891 0.4634 0.7842

0.200 -14.5962 -12.4185 -52.0675 1.450 0.4472 0.4194 0.7302

0.225 -14.0430 -12.5568 -50.0557 1.475 0.4147 0.3804 0.6973

0.250 -13.4904 -12.7006 -48.0223 1.500 0.3768 0.3506 0.6701

0.275 -12.9430 -12.8362 -45.9815 1.525 0.3460 0.3240 0.6512

0.300 -12.4037 -12.9502 -43.9440 1.550 0.3128 0.3011 0.5917

0.325 -11.8728 -13.0164 -41.9187 1.575 0.2884 0.2826 0.5218

0.350 -11.3530 -13.0283 -39.9127 1.600 0.2591 0.2664 0.5168

0.375 -10.8425 -12.9609 -37.9320 1.625 0.2408 0.2544 0.4713

0.400 -10.3443 -12.8272 -35.9812 1.650 0.2203 0.2344 0.4504

0.425 -9.8555 -12.6129 -34.0636 1.675 0.2012 0.2203 0.4061

0.450 -9.3794 -12.3402 -32.1813 1.700 0.1856 0.2005 0.4145

0.475 -8.9128 -12.0039 -30.3361 1.725 0.1735 0.1845 0.4026

0.500 -8.4593 -11.6243 -28.5290 1.750 0.1623 0.1726 0.3645

0.525 -8.0156 -11.1991 -26.7613 1.775 0.1519 0.1534 0.3067

0.550 -7.5851 -10.7445 -25.0343 1.800 0.1443 0.1491 0.3387

0.575 -7.1649 -10.2609 -23.3499 1.825 0.1382 0.1356 0.3198

0.600 -6.7582 -9.7591 -21.7099 1.850 0.1334 0.1189 0.2919

0.625 -6.3622 -9.2400 -20.1159 1.875 0.1257 0.1103 0.2660

0.650 -5.9795 -8.7118 -18.5696 1.900 0.1237 0.1123 0.2894

0.675 -5.6083 -8.1772 -17.0722 1.925 0.1177 0.1016 0.2688

0.700 -5.2501 -7.6408 -15.6250 1.950 0.1108 0.0931 0.2536

0.725 -4.9039 -7.1056 -14.2293 1.975 0.0979 0.0852 0.2485

0.750 -4.5706 -6.5748 -12.8865 2.000 0.0921 0.0818 0.2142

0.775 -4.2496 -6.0532 -11.5982 2.025 0.0861 0.0749 0.2082

0.800 -3.9413 -5.5413 -10.3664 2.050 0.0750 0.0641 0.1808

0.825 -3.6457 -5.0445 -9.1928 2.075 0.0646 0.0594 0.1770

0.850 -3.3626 -4.5623 -8.0746 2.100 0.0601 0.0574 0.1714

0.875 -3.0924 -4.0954 -6.9938 2.125 0.0556 0.0495 0.1390

0.900 -2.8312 -3.6334 -5.7964 2.150 0.0492 0.0402 0.1438

0.925 -2.5417 -3.0575 -4.3873 2.175 0.0451 0.0421 0.1120

0.950 -2.1112 -2.3847 -2.8428 2.200 0.0391 0.0379 0.1239

0.975 -1.4102 -1.5629 -1.5167 2.225 0.0345 0.0292 0.1231

1.000 -0.5290 -0.7513 -0.4371 2.250 0.0334 0.0262 0.1202

1.025 0.3102 -0.1180 0.1875 2.275 0.0295 0.0259 0.1126

1.050 0.9446 0.3652 0.5314 2.300 0.0261 0.0238 0.0826

1.075 1.3289 0.6160 0.7989 2.325 0.0237 0.0177 0.0944

1.100 1.4702 0.7667 0.9605 2.350 0.0229 0.0199 0.0931

1.125 1.4642 0.8321 1.0777 2.375 0.0190 0.0172 0.0609

1.150 1.3944 0.8511 1.1564 2.400 0.0191 0.0112 0.1122

1.175 1.2670 0.8466 1.1874 2.425 0.0153 0.0112 0.0824

1.200 1.1488 0.8182 1.1901 2.450 0.0158 0.0071 0.0616

1.225 1.0247 0.7851 1.1909 2.475 0.0116 0.0091 0.0486

1.250 0.9272 0.7515 1.1417 2.500 0.0091 0.0026 0.0375

338
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

o^O^o - 2.00 p* -0.122 X.- 0.0498 ^22/^1= 1.00

R* '11 '12 '22 R*

11 '12 '22

025 -12 .3920 -10 .4837 -45 .7751 .275 .9581

050 -12 2630 -10 1481 -45 .2404 .300 .5141

075 -12 0870 -10 0795 -44 4017 .325 .6195

100 -11 9060 -10 0630 -43 .3280 .350 .5478

125 -11 6660 -10 0805 -42 .0844 .375 .5859

150 -11 4150 -10 1150 -40 7298 .400 .4411

175 -11 1220 -10 1660 -39 3046 425 .5103

200 -10 8270 -10 2260 -37 8450 .450 .4341

225 -10 5030 -10 2930 -36 3684 475 .3807

250 -10 1840 -10 3600 -34 8889 500 3914

275 -9 8485 -10 4140 -33 4116 525 .3002

300 -9 5223 -10 4500 -31 9450 550 .3796

325 -9 1855 -10 4565 -30 4914 575 3011

350 -8 8608 -10 4290 -29 0518 600 2578

375 -8 5300 -10 3465 -27 6296 625 2322

400 -8 2118 -10 2220 -26 2270 650 1675

425 -7 8905 -10 0484 -24 8454 675 1573

450 -7 5817 -9 8351 -23 4878 700 2391

475 -7 2719 -9 5760 -22 1526 725 0972

500 -6 9741 -9 2884 -20 8470 750 1440

525 -6 6766 -8 9726 -19 5704 ^ 775 1418

550 -6 3904 -8 6375 -18 3247 800 1989

575 -6 1056 -8 2820 -17 1117 825 0487

600 -5 8314 -7 9161 -15 9350 850 0595

625 -5 5595 -7 5416 -14 7953 875 1066

650 -5 2976 -7 1618 -13 6946 900 0320

675 -5 0387 -6 7775 -12 6317 925 0041

700 -4 7894 -6 3932 -11 6100 950 1038

725 -4 5439 -6 0109 -10 6283 975 -0 0274

750 -4 3077 -5 6312 -9 6866 2 000 0111

775 -4 0761 -5 2563 -8 7837 2 025 -0 0296

800 -3 8536 -4 8878 -7 9214 2 050 1077

825 -3 6363 -4 5279 -7 0983 2 075 -0 0366

850 -3 4281 -4 1761 -6 3146 2 100 0203

875 -3 2258 -3 8352 -5 5695 2 125 -0 0628

900 -3 0326 -3 5025 -4 8576 2 150 0649

925 -2 7276 -3 0992 -4 1065 2 175 -0 0327

950 -2 3798 -2 5720 -3 1320 2 200 0123

975 -1 4486 -1 6780 -1 8230 2 225 0789

1 000 -0 6449 -0 6085 -0 4243 2 250 1034

1 025 5145 3376 7430 2 275 -0 0072

1 050 1 4639 1 0805 1 4859 2 300 -0 0189

1 075 1 7786 1 4395 1 8255 2 325 0657

1 100 1 9341 1 6262 1 9231 2 350 0564

1 125 1 7447 1 6067 1 8637 2 375 -0 0194

1 150 1 8219 1 5164 1 7612 2 400 0597

1 175 1 8494 1 3513 1 6444 2 425 -0 0494

1 200 1 4913 1 2052 1 5360 2 450 0086

1 225 1 1698 1 0907 1 4366 2 475 0825

1 250 6123 9800 1 3519 2 500 0348

0.8640

0.7595

0.7045

0.6450

0.5895

0.5396

0.5064

0.4571

0.4204

0.3867

0.3449

0.3096

0.2752

0.2414

0.2253

0.1947

0.1690

0.1533

0.1333

0.1191

0.1042

0.0897

0.0836

0.0709

0.0684

0.0685

0.0649

0.0586

0.0590

0.0600

0.0643

0.0693

0.0616

0.0630

0.0650

0.0603

0.0463

0.0365

0.0338

0.0253

0.0197

0.0196

0.0066

0.0007

0.0007

-0.0009

0.0009

0.0079

0.0037

-0.0019

1.2744

1.2078

1.1419

1.0787

1.0167

0.9558

0.8948

0.8361

0.7793

0.7227

0.6677

0.6177

0.5738

0.5307

0.4936

0.4654

0.4400

0.4247

0.4157

0.4086

0.4074

0.4063

0.3979

0.3893

0.3685

0.3421

0.3102

0.2743

. 2404

0.2090

0.1841

0.1642

0.1512

0.1388

0.1333

0.1259

0.1226

0.1180

0.1142

0.1054

0.0983

0.0920

0.0835

0.0744

0.0660

0.0546

0.0423

0.0345

0.0241

0.0163

339-
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

'^22/''ll - 2.00 p* -0. 127 ^r 0.0995 ^22/^ir 1.00

R* ^11 ^^12 ^22 R* ^11 ^12 ^22

0.,025 -12,.6650 -11,.2676 -50..3721 1 .275 1..1967 0,.7936 1..7873

0.,050 -12,.5440 -11,.0021 -49,.8354 1 .300 0..9636 0..7381 1,.7646

0,,075 -12,.3630 -10 .9505 -48,.9917 1,.325 1..0459 0..6963 1,.7400

0.,100 -12,.1750 -10,.9400 -47,.9080 1,.350 0..7468 0..6414 1,.7109

0,,125 -11,.9240 -10,.9565 -46..6504 1,.375 0..7407 0..6108 1,.6828

0.,150 -11,.6650 -10..9880 -45,.2748 1,.400 0..6504 0..5759 1,.6382

0,,175 -11..3600 -11..0350 -43..8216 1,.425 0..5623 0..5517 1,.5957

0.,200 -11,.0550 -11..0900 -42..3240 1,.450 0..5641 0..5188 1,.5467

0,,225 -10,.7210 -11,.1500 -40..7994 1,.475 0..4877 0..4900 1,.4934

0,,250 -10,.3940 -11..2100 -39..2619 1,.500 0..3613 0..4655 1,.4419

0,,275 -10,.0500 -11..2580 -37..7165 1,.525 0..3857 0..4418 1,.3849

0.,300 -9,.7182 -11..2870 -36..1730 1,.550 0..3867 0..4300 1,.3276

0,,325 -9,.3750 -11..2845 -34..6324 1,.575 0..3242 0..4071 1,.2679

0,,350 -9,.0467 -11,.2470 -33..0979 1,.600 0..2829 0..3832 1,.2131

0.,375 -8,.7110 -11..1555 -31..5706 1 .625 0..2913 0..3598 1,.1618

0.,400 -8,.3907 -11..0200 -30..0570 1 .650 0..2440 0..3429 1,.1134

0,,425 -8,,0658 -10..8341 -28..5574 1..675 0..2184 0..3182 1,.0639

0,,450 -7,,7558 -10..6071 -27..0739 1 .700 0..1686 0..2984 1,.0220

0.,475 -7,,4429 -10.,3339 -25.,6086 1,.725 0.,2556 0..2890 0,.9856

0,,500 -7,.1444 -10.,0310 -24..1660 1,.750 0.,2262 0..2776 0,.9487

0.,525 -6,,8440 -9..6990 -22..7484 1,.775 0.,1640 0..2601 0,.9170

0,,550 -6,,5578 -9..3466 -21..3588 1 .800 0.,1192 0..2444 0,.8840

0,,575 -6,,2705 -8..9728 -19..9966 1,.825 0.,1396 0,.2387 0,.8450

0.,600 -5,,9968 -8..5878 -18.,6690 1..850 0,,1346 0..2256 0,.8026

0.,625 -5,,7235 -8..1931 -17..3754 1..875 0.,1583 0..2200 0,.7520

0,,650 -5,,4617 -7..7923 -16..1177 1..900 0.,1814 0..2134 0..7013

0,,675 -5,,2009 -7..3858 -14..8976 1..925 0.,1788 0..2076 0..6485

0,,700 -4,,9529 -6.,9789 -13..7170 1..950 0,,1247 0.,2093 0..5894

0,,725 -4,,7058 -6,.5735 -12,,5773 1..975 0.,1701 0.,1978 0..5317

0.,750 -4,.4712 -6..1702 -11,,4786 2..000 0.,1168 0..1864 0..4780

0,,775 -4,.2380 -5..7715 -10,.4197 2..025 0.,1554 0..1870 0..4328

0,,800 -4,.0172 -5,.3791 -9,.4033 2..050 0,,1699 0.,1728 0..3933

0.,825 -3,,7984 -4,.9953 -8,,4297 2..075 0,,1279 0.,1740 0.,3559

0,,850 -3,.5918 -4,,6195 -7,.4991 2..100 0.,1961 0.,1663 0.,3282

0,,875 -3..3878 -4,.2547 -6.,6115 2..125 0.,1659 0,,1566 0..3037

0,,900 -3,.1898 -3..8980 -5,,7625 2..150 0.,1277 0.,1466 0..2769

0,.925 -2,.9012 -3,.4743 -4,,8825 2..175 0.,1320 0,,1365 0.,2559

0,,950 -2,.4186 -2,.9304 -3.,7908 2..200 0,,0988 0.,1211 0.,2346

0,.975 -1,.4251 -2..0198 -2.,3888 2.,225 0,,1502 0.,1070 0.,2154

1,.000 -0,.0965 -0..9686 -0,,8763 2..250 0.,0807 0,,0940 0.,1966

1,.025 1,.2995 0,.0103 0,,3812 2..275 0,,1185 0.,0842 0.,1774

1,.050 2,.0686 0,.7893 1,,2290 2..300 0.,1117 0,,0725 0.,1574

1..075 2,.6525 1,.1845 1.,6794 2..325 0.,1342 0,,0669 0.,1361

1,.100 2..7840 1..3970 1,,8806 2..350 0.,1288 0.,0661 0.,1145

1,.125 2..7208 1..3974 1..9319 2..375 0.,0680 0.,0483 0.,0982

1,.150 2..3978 1..3278 1,.9187 2..400 0.,0905 0..0407 0.,0839

1,.175 2..4844 1,.1919 1.,8886 2,.425 0. 1594 0.,0407 0,,0647

1 .200 2,.2256 1..0605 1,,8584 2..450 0.,0896 0.,0372 0,,0516

1 .225 1..5596 0..9781 1,,8335 2,.475 0. 1108 0.,0347 0.,0389

1 .250 1,.3617 0..8797 1.,8095 2,.500 0.,0827 0.,0280 0,,0259

340-
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

''22/^11 "2-00 P* =0.147 x^" 0.2500 ^22/^1= 1-°°

R* '11 12 '22 R* '11 12 '22

.025 -12 .8058 -10 .4316 -50 .7825 1 .275 9212

.050 -12 .7534 -10 .6029 -50 .2173 1 .300 8090

.075 -12 .5895 -10 6648 -49 .3376 1 .325 7019

.100 -12 .3987 -10 .7159 -48 .2116 1 .350 5609

.125 -12 .1424 -10 .7675 -46 .9084 1 .375 .5238

150 -11 .8688 -10 8245 -45 4860 1 .400 4550

175 -11 5545 -10 8906 -43 .9884 1 .425 4089

200 -11 .2333 -10 9623 -42 .4457 1 .450 3993

225 -10 .8892 -11 0380 -40 .8776 1 .475 3633

250 -10 5464 -11 1129 -39 .2966 1 .500 3280

275 -10 1915 -11 1761 -37 .7111 1 .525 2980

300 -9 8436 -11 .2208 -36 .1267 1 .550 2938

325 -9 4900 -11 .2335 -34 .5476 1 .575 2506

350 -9 .1467 -11 .2101 -32 .9771 1 .600 2962

375 -8 .8014 -11 1301 -31 .4178 1 625 2677

400 -8 .4676 -11 0039 -29 8724 1 650 2380

425 -8 .1339 -10 .8233 -28 3437 1 675 2260

450 -7 .8120 -10 5995 -26 8345 1 700 2050

475 -7 4912 -10 3263 -25 3474 1 725 1926

500 -7 1822 -10 0213 -23 8851 1 750 2142

525 -6 8748 -9 6845 -22 4500 1 775 1728

550 -6 5790 -9 3262 -21 0442 1 800 1319

575 -6 2850 -8 9457 -19 6702 1 825 1532

600 -6 0025 -8 5529 -18 3299 1 850 1250

625 -5 7220 -8 1496 -17 0255 1 875 1190

650 -5 4529 -7 7402 -15 7586 1 900 1202

675 -5 1861 -7 3261 -14 5304 1 925 1283

700 -4 9309 -6 9113 -13 3422 1 950 1339

725 -4 6782 -6 4982 -12 1949 1 975 1169

750 -4 4373 -6 0878 -11 0893 2 000 1187

775 -4 1992 -5 6829 -10 0263 2 025 0907

800 -3 9731 -5 2840 -9 0066 2 050 1084

825 -3 7500 -4 8944 -8 0310 2 075 1136

850 -3 5392 -4 5135 -7 1005 2 100 1224

875 -3 3305 -4 1447 -6 2160 2 125 1111

900 -3 1332 -3 7846 -5 3707 2 150 1026

925 -2 8654 -3 3574 -4 4976 2 175 0979

950 -2 4014 -2 8185 -3 4155 2 200 0892

975 -1 6065 -1 9229 -2 0356 2 225 0916

1 000 -0 4140 -0 9004 -0 5610 2 250 0934

1 025 6073 0784 6637 2 275 1031

1 050 1 5141 8601 1 4925 2 300 1023

1 075 1 9748 1 2543 1 9324 2 325 0739

1 100 2 1605 1 4625 2 1163 2 350 0948

1 125 2 2358 1 4513 2 1585 2 375 1037

1 150 1 9435 1 3819 2 1311 2 400 0787

1 175 1 7128 1 2722 2 0955 2 425 1042

1 200 1 4871 1 1499 2 0585 2 450 0801

1 225 1 2660 1 0455 2 0156 2 475 0688

1 250 1 1555 9483 1 9732 2 500 0671

0.8813

0.8078

0.7609

0.7108

0.6659

0.6280

0.5998

0.5697

0.5369

0.5071

0.4815

0.4504

0.4320

0.4081

0.3866

0.3635

0.3449

0.3316

0.3125

0.2966

0.2832

0.2682

0.2563

0.2430

0.2318

0.2270

0.2136

0.2063

0.2015

0.1979

0.1930

0.1827

0.1699

0.1600

0.1545

0.1459

0.1334

0.1263

0.1128

0.1002

0.0891

0.0798

0.0723

0.0620

0.0546

0.0487

0.0426

0.0454

0.0379

0.0346

1.9296

1.8950

1.8530

.8078

,7532

,6931

,6375

,5708

,5084

,4435

,3793

,3146

,2500

,1906

,1328

1.0781

1.0269

0.9780

0.9284

0.8923

0.8506

0.8103

0.7708

0.7240

0.6792

0.6262

0.5735

0.5223

0.4744

0.4225

0.3818

0.3489

0.3123

0.2839

0.2628

0.2319

0.2146

0.1922

0.1734

0.1568

0.1390

0.1242

0.1071

0.0917

0.0786

0.0624

0.0518

0.0410

0.0303

0.0227

341
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

a /<7^ =2.00 p* ="0.200 x-= 0.5000 ^22/^1= ^-^^

R* '11 '12 '22 R* '11 '12 '22

0,.025 -13 .5423 -10 .3377 -52 .1870 1 .275 .8794 0..9726 2.,0990

0,.050 -13 .4529 -ID .4486 -51 .5506 1 .300 0,.7347 0..8974 2.,0260

0,.075 -13 .2614 .4978 -50 .5668 1,.325 .6620 0.,8411 1.,9499

0,.100 -13 .0301 -ip .5451 -49 .3168 1,.350 .5940 0..7835 1..8726

0,.125 -12 .7347 -10 .5982 -47 .8803 1,.375 .5236 0.,7382 1.,7889

0,.150 -12 .4174 -10 .6596 -46 .3234 1,.400 0,.4725 0.,6923 1..7081

0,.175 -12,.0617 -10 .7335 -44 .6943 1..425 0..4373 0.,6556 1.,6197

0,.200 -11,.6992 -10 .8162 -43 .0254 1,.450 0..3819 0.,6132 1.,5386

0.,225 -11,.3165 -10 .9068 -41 .3371 1..475 0..3527 0.,5743 1.,4521

0.,250 -10,.9368 -11 . 0001 -39 .6418 1..500 0,.3365 0.,5368 1.,3812

0,,275 -10,.5480 -11 .0863 -37 .9481 1..525 0,.3030 0.,5046 1.,3105

0,,300 -10..1673 -11 .1566 -36 .2616 1..550 0..2726 0.,4700 1.,2358

0,,325 -9,.7844 -11 .1950 -34 .5869 1..575 0..2538 0..4437 1.,1726

0,,350 -9,.4112 -11 .1955 -32 .9279 1..600 0..2403 0.,4194 1.,1083

0,,375 -9,,0397 -11 .1356 -31 .2874 1..625 0,.2256 0.,3944 1.,0467

0,,400 -8.,6783 -11 .0247 -29 .6684 1.,650 0..2091 0,,3749 0.,9847

0,,425 -8.,3208 -10 .8519 -28 .0737 1.,675 0.,2021 0.,3570 0.,9235

0,,450 -7,,9732 -10 .6309 -26 .5059 1.,700 0.,1803 0.,3372 0.,8735

0,,475 -7.,6307 -10,.3556 -24,.9677 1.,725 0.,1605 0.,3192 0.,8147

0,,500 -7.,2975 -10,.0446 -23,.4610 1.,750 0.,1614 0.,3098 0.,7677

0,,525 -6,,9703 -9,.6973 -21,,9872 1.,775 0.,1346 0.,2889 0.,7203

0,,550 -6,,6519 -9,.3260 -20,,5477 1.,800 0.,1318 0.,2747 0.,6782

0,,575 -6,,3400 -8,.9311 -19,.1438 1.,825 0.,1267 0.,2608 0.,6333

0,,600 -6.,0364 -8,.5224 -17,.7770 1,,850 0.,1177 0.,2433 0.,5957

0,,625 -5.,7400 -8,.1016 -16,,4490 1,,875 0.,1281 0.,2357 0,,5516

0.,650 -5,,4515 -7,,6741 -15,.1609 1,,900 0.,1142 0,,2304 0,,4987

0,,675 -5,,1707 -7,.2422 -13..9136 1,,925 0.,1052 0,,2112 0,,4616

0,,700 -4,,8978 -6,,8094 -12.,7082 1,,950 0.,1015 0,,2031 0,,4158

0.,725 -4,,6332 -6,,3783 -11.,5457 1.,975 0.,0885 0,,1919 0,,3751

0.,750 -4,,3764 -5,,9505 -10.,4274 2.,000 0.,0958 0,,1838 0.,3417

0,,775 -4.,1284 -5,,5292 -9.,3546 2,,025 0,,0836 0,,1735 0,,3046

0,,800 -3.,8884 -5,,1149 -8.,3283 2,,050 0,,0785 0,,1661 0.,2729

0.,825 -3,,6574 -4,,7110 -7.,3494 2.,075 0,,0744 0.,1554 0,,2484

0.,850 -3.,4345 -4,,3172 -6.,4190 2,,100 0.,0568 0,,1469 0,,2224

0.,875 -3.,2206 -3,,9373 -5.,5382 2,,125 0.,0652 0,,1393 0.,1959

0,,900 -3,,0095 -3,,5673 -4.,6998 2.,150 0,,0655 0.,1338 0.,1752

0,,925 -2.,7596 -3.,1353 -3.,8409 2.,175 0.,0720 0,,1201 0,,1543

0,,950 -2.,3283 -2,,5946 -2.,7843 2,,200 0,,0618 0,,1077 0,,1343

0.,975 -1.,5248 -1,,7073 -1.,4384 2.,225 0,,0573 0.,0977 0,,1183

1.,000 -0.,5027 -0,,6974 -0.,0231 2.,250 0.,0608 0.,0896 0.,1045

1.,025 0.,5481 0,,2314 1,,1434 2.,275 0,,0516 0,,0800 0,,0909

1.,050 1.,3116 0,,9761 1.,9084 2.,300 0,,0450 0.,0756 0.,0781

1,,075 1.,7455 1.,3396 2.,3230 2.,325 0,,0447 0,,0668 0.,0618

1,,100 1,,9177 1,,5346 2.,4826 2,,350 0.,0469 0.,0580 0.,0553

1,,125 1,,9107 1,,5405 2,,4916 2.,375 0,,0464 0.,0531 0.,0452

1.,150 1.,7301 1,,4799 2,,4552 2.,400 0,,0395 0.,0483 0,,0347

1,,175 1.,5488 1,,3581 2,,3823 2.,425 0,,0388 0.,0447 0,,0262

1,,200 1.,3718 1,,2416 2,,3107 2.,450 0.,0384 0.,0380 0.,0264

1,,225 1.,1829 1.,1442 2,,2289 2.,475 0,,0453 0. 0376 0,,0164

1,,250 0.,9937 1.,0460 2,,1631 2.,500 0.,0327 0.,0355 0.,0156

-342-
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

^22/^^11 "2.00 p* -0.319 x^= 0.7500 ^22/^1= ^-^^

R* '11 '12 '22 R*

11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

16.1277

-15.9822

15.7264

15.4054

15.0145

14.5917

14.1315

13.6633

•13.1782

12.6984

12.2126

11.7387

11.2642

10.8041

10.3462

-9.9031

-9.4638

-9.0389

-8.6189

-8.2125

-7.8119

-7.4243

-7.0433

-6.6748

-6.3138

-5.9649

-5.6243

-5.2957

-4.9761

4.6684

,3704

0843

8083

,5444

2906

-3.0448

-2.7611

-2.2982

-1.5296

-0.4953

0.4779

1.2133

,6333

,7838

,7599

,6282

,4682

,3001

,1425

,0267

11.8192

•11.8639

11.9004

11.9451

12.0028

12.0725

,1593

,2587

,3715

,4915

,6092

,7126

.7797

,8011

,7492

6326

•12.4351

•12.1765

11.8503

11.4789

11.0604

10.6119

10.1345

-9.6395

-9.1280

-8.6080

-8.0827

-7.5561

-7.0313

-6.5112

-6.0003

-5.4988

-5.0115

-4.5380

-4.0831

-3.6422

-3.1469

-2.5537

-1.6434

0.6305

0.2992

,0360

,3914

,5993

,6127

,5604

,4618

,3577

,2737

,1901

-62.8243

-61.9978

-60.7367

-59.1490

-57.3391

-55.3895

-53.3585

-51.2828

-49.1851

-47.0798

-44.9769

-42.8849

-40.8108

-38.7605

-36.7387

-34.7490

-32.7946

-30.8783

-29.0022

-27.1678

-25.3757

-23.6270

-21.9232

-20.2661

-18.6575

-17.0990

-15.5916

-14.1365

-12.7351

-11.3891

-10.1005

-8.8708

-7.7013

-6.5936

-5.5495

-4.5626

-3.5694

-2.3931

-0.9671

0.4604

1.6373

2.3884

2.8193

2.9796

3.0294

2.9838

2.9354

2.8766

2.7947

2.7009

1.275

1.300

1.325

1.350

1.375

1.400

1.425

1.450

1.475

500

525

550

575

600

1.625

1.650

1.675

700

725

750

775

1.800

1.825

1.850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

2.050

2.075

100

125

150

.175

2.200

2.225

250

275

300

325

350

375

400

425

450

2.475

2.500

0.9184

0.7964

0.7225

0.6473

0.6102

0.5474

0.5064

0.4702

0.4404

0.4036

0.3833

0.3597

0.3332

0.3127

0.2955

0.2750

0.2553

0.2420

0.2308

0.2142

0.1937

0.1946

0.1817

0.1769

0.1683

0.1638

0.1546

0.1465

0.1402

0.1312

0.1276

0.1199

0.1080

0.1014

0.0932

0.0916

0.0860

0.0777

0.0733

0.0740

0.0633

0.0657

0.0574

0.0567

0.0521

0.0505

0.0477

0.0375

0.0384

0.0379

1.1127

1.0331

0.9798

0.9228

0.8611

0.8086

0.7547

0.7096

0.6631

0.6125

0.5761

0.5436

0.5115

0.4840

0.4623

0.4384

0.4197

0.3957

0.3708

0.3512

0.3333

0.3077

0.2893

0.2696

0.2510

0.2407

0.2249

0.2074

0.1944

0.1837

0.1701

0.1588

0.1483

0.1393

0.1265

0.1147

0.1039

0.0951

0.0852

0.0806

0.0739

0.0632

0.0554

0.0524

0.0468

0.0423

0.0392

0.0361

0.0300

0.0240

.5996

.4902

.3773

.2549

.1332

2.0034

1.8951

1.7869

1.6792

1.5849

1.4865

1.4012

1.3200

1.2399

1.1575

1.0768

1.0151

0.9368

0.8759

0.8082

0.7467

0.6901

0.6354

0.5835

0.5406

0.4852

0.4478

0.4033

0.3600

0.3267

0.2872

0.2492

0.2221

0.2057

0.1775

0.1589

0.1378

0.1164

0.1048

0.0827

0.0697

0.0604

0.0446

0.0368

0.0337

0.0260

0.0177

0.0178

0.0184

0.0121

-343-
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

<^22^°r\ =2.00 p* =0.494 x = 0.9005 ^22/^11' 1.00

R* '11 12 '22 R* '11 '12 '22

0,.025 -18 .9876 -15 .7257 -75,.8219 1..275 0,.8974 1 .2533 2 .9917

0,.050 -18,.7956 -13,.7504 -74,.7762 1,.300 0,.8205 1 .1815 2 .8614

0..075 -18 .4773 -13 .7870 -73,.1950 1,.325 0,.7594 1 .1145 2 .6949

0..100 -18,.0703 -13 .8371 -71,.2137 1,.350 0,.7018 1 .0485 2 .5562

0,.125 -17 .5875 -13 .9053 -68,.9623 1,.375 0,.6557 .9794 2,.3803

0,.150 -17,.0611 -13 .9882 -66,.5416 1,.400 0,.6048 .9132 2 .2100

0,.175 -16,.4990 -\\ .0900 -64,.0220 1..425 0,.5692 0,.8579 2 .0869

0..200 -15,.9242 -\% .2074 -61,.4482 1,.450 0,.5350 .7975 1 .9455

0..225 -15,.3375 -\\ .3432 -58,.8480 1,.475 0,.5062 .7425 1,.8314

0,.250 -14,.7541 -Vk .4894 -56,.2398 1,.500 0,.4720 .6919 1,.7116

0,.275 -14,.1706 -14 .6356 -53,.6378 1,.525 0,.4464 0,.6510 1,.6006

0..300 -13,.5971 -14,.7679 -51,.0538 1,.550 0..4188 0,.6123 1,.4859

0..325 -13,.0286 -14,.8585 -48,.4981 1..575 0..3978 0,.5830 1,.3953

0,.350 -12,.4727 -14,.8939 -45,.9787 1,.600 0..3695 0,.5552 1,.2889

0..375 -11,.9238 -14..8412 -43,.5012 1,.625 0..3432 .5213 1,.1881

0..400 -11,.3882

:lt:

.7092 -41,.0694 1,.650 0..3231 .4950 1,.1151

0..425 -10,.8606 .4765 -38..6861 1,.675 0..3028 0,.4728 1,.0143

0,.450 -10,.3465 -14..1687 -36..3533 1..700 0..2824 0,.4491 0,.9571

0,.475 -9,.8409 -13..7788 -34,.0726 1..725 0..2658 0,.4128 .8744

0,.500 -9,.3488 -13,.3327 -31,.8450 1..750 0..2528 .3862 .8251

0,.525 -8,.8657 -12,.8276 -29,.6707 1.,775 0..2409 0,.3625 .7642

0..550 -8,.3961 -12,.2851 -27,,5507 1.,800 0..2335 0,.3352 0,.7125

0,.575 -7,.9363 -11..7070 -25,,4872 1,.825 0..2219 .3173 0,.6698

0,.600 -7,.4900 -11,.1065 -23,.4827 1,,850 0..2120 0,.2981 0,.5817

0,,625 -7,.0544 -10,.4846 -21,.5398 1,,875 0,.2032 0,.2793 0,.5467

0,.650 -6,.6325 -9,.8517 -19,.6601 1,.900 0,.1955 0,.2603 0,.4789

0,.675 -6,.2221 -9,.2123 -17,.8447 1,,925 0,,1865 0..2450 0,.4415

0,,700 -5,.8258 -8,.5710 -16,.0945 1,.950 0,,1796 0,.2259 0,.4107

0,.725 -5,.4416 -7,.9317 -14,.4114 1,,975 0,,1665 0,.2130 0..3846

0,,750 -5,.0717 -7,.2984 -12,,7971 2,,000 0,.1519 0,.1994 0..3554

0..775 -4,.7143 -6,.6774 -11,,2539 2,,025 0,.1442 0,.1845 0..3008

0.,800 -4,.3715 -6,.0685 -9,,7836 2,,050 0,,1361 0,.1692 0..2700

0,,825 -4,.0414 -5..4780 -8,,3876 2,,075 0.,1221 0..1552 0..2439

0,,850 -3,.7260 -4,.9053 -7,,0680 2,,100 0,,1151 0,.1440 0,.2265

0,,875 -3,.4238 -4..3571 -5,,8267 2,,125 0,,1053 0,,1311 0,.1897

0.,900 -3,.1324 -3,.8280 -4,,6604 2,,150 0,,1027 0,,1208 0,,1717

0,,925 -2,.8096 -3,.2517 -3.,5012 2.,175 0.,0869 0,,1104 0,,1312

0,.950 -2,.3229 -2,.5858 -2,.2067 2.,200 0.,0834 0,,0991 0,,1232

0,.975 -1,.5527 -1,.6284 -0,.7201 2.,225 0.,0793 0,,0926 0,,1080

1,.000 -0,.5956 -0,.6006 0,.7241 2.,250 0.,0741 0.,0856 0.,0933

1,.025 0,.3333 0,,3079 1,,8757 2,,275 0,,0655 0,,0766 0,,0920

1..050 1,.0264 1,.0311 2,,6141 2,,300 0,,0593 0,,0705 0,,0683

1,.075 1,.4167 1,.3959 3,,0674 2.,325 0.,0537 0,,0599 0.,0516

1..100 1,.5771 1,.6189 3,,2980 2.,350 0,,0494 0.,0560 0.,0613

1..125 1,.5704 1,.6533 3,,3872 2,,375 0,,0421 0.,0452 0,,0468

1..150 1,.4775 1,.6316 3,.4042 2.,400 0,,0419 0,,0413 0,,0325

1..175 1,,3551 1..5580 3,,4077 2.,425 0.,0368 0.,0363 0,,0363

1..200 1,.2166 1,.4817 3.,3206 2,,450 0.,0351 0.,0336 0.,0303

1..225 1,.1006 1..4050 3,,2396 2,,475 0.,0322 0,,0256 0.,0246

1,.250 0,.9928 1,.3231 3.,1251 2.,500 0.,0242 0.,0217 0,,0194

344
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

<^21^<J\\ = 2.00 p* =0.598 x^= 0.9502 e 22/^1= ^-^^

R* '11 12 '22 R*

11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

000

025

050

075

100

125

150

175

200

225

250

19.7950

19.5806

19.2431

18.8066

18.2966

17.7367

17.1450

16.5361

15.9201

15.3034

14.6913

14.0858

13.4897

12.9029

12.3274

11.7620

11.2087

10.6658

10.1353

-9.6155

-9.1087

-8.6132

-8.1312

-7.6612

-7.2053

-6.7621

-6.3337

-5.9183

-5.5183

-5.1316

4.7606

4.4031

4.0615

7333

4215

,1192

,7894

-2.3139

-1.5685

-0.6346

0.2515

0.9046

1.2747

1.4316

1.4368

1.3514

1.2487

1.1331

1.0186

0.9178

•14.2076

14.2336

14.2789

14.3404

14.4230

14.5226

14.6435

14.7817

•14.9407

•15.1115

15.2843

•15.4440

15.5602

15.6186

•15.5847

•15.4666

•15.2411

14.9363

•14.5450

•14.0941

•13.5800

13.0258

12.4328

11.8151

•11.1734

•10.5191

-9.8559

-9.1897

-8.5245

-7.8646

-7.2164

-6.5804

-5.9633

-5.3642

-4.7904

-4.2360

-3.6395

-2.9592

-2.0086

-0.9917

-0.0879

0.6238

0.9837

1.1989

1.2509

1.2551

1.1986

1.1413

1.0798

1.0119

81.4616

80.3485

78.6639

76.5606

74.1779

71.6206

68.9602

66.2431

63.4992

60.7497

58.0107

55.2954

52.6143

49.9757

47.3850

44.8455

42.3586

39.9247

37.5440

35.2170

32.9444

30.7280

28.5699

26.4727

24.4384

22.4685

20.5642

18.7268

16.9577

15.2587

13.6315

12.0777

10.5991

-9.1980

-7.8769

-6.6322

-5.3985

-4.0726

-2.6368

-1.2146

-0.0771

0.7208

1.2201

1.4927

1.7076

1.8119

1.8596

1.8844

1.8507

1.8108

1.275

1.300

1.325

1.350

1.375

1.400

1.425

1.450

1.475

1.500

1.525

1.550

1.575

1.600

1.625

1.650

1.675

1.700

1.725

1.750

1.775

1.800

1.825

1.850

1.875

1.900

925

950

975

000

025

050

075

100

125

150

175

200

225

250

,275

,300

325

350

,375

400

,425

2.450

2.475

2.500

0.8357

0.7625

0.6950

0.6374

0.5911

0.5461

0.5042

0.4711

0.4405

0.4024

0.3686

. 3404

0.3142

0.2856

0.2592

0.2344

0.2175

0.1965

0.1827

0.1701

0.1599

0.1508

0.1462

0.1391

0.1355

0.1271

0.1218

0.1142

0.1031

0.0971

0.0823

0.0767

0.0664

0.0633

0.0546

0.0514

0.0468

0.0424

0.0375

0.0353

0.0303

0.0290

0.0243

0.0248

0.0191

0.0168

0.0171

0.0157

0.0127

0.0105

0.9560

0.8916

0.8274

0.7630

0.7043

0.6417

0.5843

0.5290

0.4904

0.4446

0.4071

0.3813

0.3672

0.3364

0.3177

0.2959

0.2791

0.2586

0.2336

0.2031

0.1858

0.1702

0.1599

0.1466

0.1337

0.1221

0.1136

0.1006

0.0962

0.0903

0.0808

0.0787

0.0740

0.0653

0.0609

0.0551

0.0509

0.0485

0.0453

0.0420

0.0398

0.0327

0.0246

0.0227

0.0211

0.0203

0.0140

0.0090

0.0077

0.0046

1.7627

1.6825

1.5366

1.4330

1.3321

1.2157

1.1390

1 . 1004

0.9835

0.9195

0.8901

0.8454

0.7893

0.7204

0.7101

0.6763

0.6154

0.6043

0.5423

0.5278

0.4686

0.4453

0.4067

0.3819

0.3610

0.3382

0.3022

0.3032

0.2866

0.2608

0.2717

0.2336

0.2039

0.1812

0.1870

0.1482

0.1325

0.1147

0.1099

0.0959

0.0818

0.0863

0.0619

0.0816

0.0589

0.0684

0.0655

0.0789

0.0574

0.0743

-345
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

a /a - 2.00 p* -0.128 x^= 0.0498 ^22/hr ^-5°

R* "11 '12 '22 R* '11 12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

33.5580

25.1020

22.1010

20.4500

19.2870

18.3800

•17.5940

•16.9090

16.2910

15.7420

•15.2370

•14.7820

•14.3510

•13.9540

•13.5570

•13.1810

•12.7980

•12.4300

12.0520

11.6880

11.3150

10.9570

10.5890

10.2390

-9.8819

-9.5396

-9.1907

-8.8604

-8.5225

-8.2030

-7.8769

-7.5686

-7.2545

-6.9579

-6.6570

-6.3732

-6.0866

-5.4411

-4.4384

-3.2455

-1.4534

-0.7328

-0.5003

0.1447

-0.0139

0.1402

-0.2207

-0.2396

-0.6653

-0.5764

•58.5421

•37.4644

31.9579

28.9870

•27.3069

2fe.l266

25.3023

•24.6500

•24.1331

•23.6833

•23.2804

•22.8890

22.4866

•22.0543

•21.5583

•21.0010

•20.3657

•19.6664

•18.8973

18.0970

•17.2787

16.4615

•15.6553

14.8630

14.0882

•13.3274

•12.5743

•11.8330

•11.1087

•10.3954

6945

0081

8.3407

-7.6873

-7.0526

-6.4322

-5.7797

-5.0469

-3.8949

-2.5656

-1.2917

-0.1995

0.3673

0.6981

0.7979

0.8271

0.8271

0.8090

0.8307

0.8459

95.4559

93.8071

91.0320

87.4820

83.4302

79.1215

74.7437

70.4440

•66.3082

•62.3872

58.7170

•55.2810

•52.0879

•49.0868

•46.2672

43.5890

•41.0058

•38.5005

36.0443

33.6320

31.2317

28.8584

26.5023

24.2020

21.9727

19.8403

17.8295

15.9590

14.2485

12.6849

11.2606

-9.9462

-8.7180

5368

3867

2472

1179

9396

5174

0.3079

2.3525

4.1291

5.2618

5.6835

5.5456

5.0657

4.4219

3.7338

3.0586

2.4396

1.275

1.300

1.325

1.350

1.375

1.400

1.425

1.450

1.475

1.500

1.525

1.550

1.575

600

625

650

675

700

725

750

775

800

825

850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

2.050

2.075

2.100

2.125

2.150

2.175

2.200

2.225

2.250

275

300

325

350

2.375

2.400

2.425

2.450

2.475

2.500

•0.7158

0.8296

•0.7418

•0.8725

•0.7456

•0.8320

•0.8290

•0.8101

•0.9495

•0.8731

•0.7235

•0.7833

•0.7942

•0.6520

•0.5987

•0.5831

•0.4940

•0.5681

•0.4240

•0.4965

0.4070

0.3288

•0.4212

•0.3548

0.3771

0.3155

0.2199

•0.2630

•0.2737

0.2162

0.2852

0.2313

0.1282

0.1933

•0.1505

•0.1706

•0.1384

0.1229

0.0893

0.0327

0.0139

•0.0058

0.0569

•0.0588

0.0988

0.0402

0.0435

0.0399

0.0619

0.0185

0,

0.8777

0.9087

0.9320

0.9459

0.9469

0.9461

0.9493

0.9367

0.9401

0.9198

0.9127

0.9171

0.9038

0.9011

0.8993

0.9106

0.8969

0.8901

0.8781

.8463

.8136

0.7638

0.7070

0.6523

0.5668

0.4906

0.3978

0.3071

0.2341

0.1612

0.1120

0.0578

0.0312

0.0090

0.0080

0.0154

0.0429

0.0829

0.1262

0.1698

0.2179

0.2504

0.2631

0.2678

0.2231

0.1744

0.1271

0.0428

0.0033

-0.0491

1.8601

1.3417

0.8721

0.4537

0.0927

•0.2094

•0.4468

•0.6244

•0.7502

•0.8381

•0.9147

•0.9988

1.1026

1.2339

•1.3805

•1.5379

1.6774

1.7829

1.8304

1.8010

1.6810

1.4673

1.1894

0.8806

0.6024

0.4127

0.3471

0.4163

0.5955

0.8345

1.0652

1.2497

1.3403

1.3265

1.2164

1.0382

0.8271

0.6121

0.4190

•0.2573

0.1253

0.0140

0.0868

0.1890

0.2916

0.3902

0.4724

0.5280

0.5359

0.4965

346
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

^22/^^11 = 2.00 =0.131 X, 0.0995 e22Aii=1.50

R* '11 '12 '22 R*

11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

•16.0600

15.9300

15.6860

15.4370

15.0980

•14.7480

•14.3390

13.9290

13.4840

•13.0470

12.5910

•12.1490

11.6960

•11.2600

•10.8180

•10.3940

-9.9654

-9.5549

-9.1421

-8.7469

-8.3505

9714

5919

2294

8683

5217

1770

8490

5224

2127

4.9049

4.6140

4.3259

•4.0548

•3.7871

3.5319

•3.2149

2.6578

1.8674

0.6998

0.4558

1.2507

1.6959

1.6732

,6594

,6021

,4643

,2798

,0191

14.1812

13.8721

13.8095

13.7940

•13.8095

•13.8430

•13.8960

•13.9620

•14.0400

•14.1230

•14.2010

•14.2620

•14.2895

•14.2750

14.1900

•14.0450

•13.8266

•13.5482

•13.1994

•12.8060

12.3671

11.8983

11.3969

•10.8780

10.3432

-9.7990

-9.2452

-8.6895

-8.1346

-7.5820

-7.0349

-6.4961

-5.9694

-5.4542

-4.9559

-4.4734

-3.9587

-3.3626

-2.3321

-1.0919

0.1615

0.9041

1726

6898

9393

8919

7790

6240

4581

3221

2049

70.4941

•69.6396

•68.3095

66.6230

•64.6926

•62.6072

•60.4313

58.2110

•55.9697

•53.7223

•51.4743

•49.2380

47.0126

•44.8023

•42.6074

40.4360

38.2886

36.1702

34.0824

32.0320

30.0236

•28.0591

26.1404

24.2780

22.4705

20.7210

19.0295

17.4020

15.8345

14.3279

12.8796

11.4910

10.1614

-8.8907

-7.6791

-6.5315

-5.4342

-4.2726

-2.7884

-0.9360

• 0.8805

2.2137

9546

2341

2498

1717

0626

9716

8927

8205

.275

.300

.325

.350

.375

.400

,425

1.450

1.475

1.500

1.525

1.550

1.575

1.600

625

650

675

700

725

750

1.775

1.800

1.825

1.850

1.875

1.900

925

950

,975

000

025

2.050

2.075

100

125

150

175

200

2.225

2.250

275

300

325

350

375

2.400

2.425

2.450

2.475

2.500

0.7463

0.5605

0.6104

0.5480

0.4618

0.4713

0.4189

0.3947

0.3382

0.2767

0.2543

0.2661

0.2356

0.2122

0.2032

0.2149

0.1803

0.1731

0.1732

0.2082

0.1937

0.1870

0.1406

0.1394

0.1404

0.1975

0.1189

0.1691

0.1877

0.1296

0.1111

0.1173

0.0904

0.0958

0.1134

0.0454

0.0559

0.0579

0.0697

0.1211

0.0325

0.0730

0.0266

0.0732

0.0695

0.1031

0.1317

0.0774

0.0556

0.0735

1.1317

1.0372

0.9789

0.9178

0.8703

0.8219

0.7801

0.7389

0.7021

0.6585

0.6249

0.5963

0.5594

0.5255

0.4855

0.4572

0.4362

0.4104

0.3824

0.3579

0.3379

0.3239

0.3053

0.2847

0.2837

0.2778

0.2596

0.2578

0.2596

0.2523

0.2476

0.2409

0.2351

0.2192

0.1954

0.1722

0.1598

0.1389

0.1135

0.0976

0.0793

0.0653

0.0553

0.0476

0.0439

0.0305

0.0324

0.0391

0.0427

0.0409

2.7603

2.7000

2.6382

2.5711

,4971

,4167

,3309

,2397

,1454

2.0540

1.9586

1.8640

1.7737

,6865

,6023

,5264

,4620

1.4075

1.3613

,3229

,2853

,2484

,2039

,1494

,0809

,0012

0.9123

0.8193

0.7236

0.6375

0.5676

0.5140

0.4680

0.4347

0.4050

0.3851

0.3604

0.3392

0.3144

0.2848

0.2574

0.2296

0.2008

0.1706

0.1410

0.1138

0.0874

0.0644

0.0438

0.0277

347
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

^22/^^1 1

2.00 p* =0. 152 x^= 0.25(DO ^22/^11= 1.:50

R* ^11 ^^12 ^22 R* ^11 ^12 ^22

025 -16 4170 -13 .8866 -71 .7692 1 275 8197 1 .1787 2 9708

050 -16 3110 -13 .7990 -70 .8786 1 .300 7504 1 .0928 2 8827

075 -16 0820 -13 7945 -69 .4985 1 325 6794 1 .0353 2 8018

100 -15 8180 -13 8120 -67 .7540 1 350 6129 .9690 2 7092

125 -15 4720 -13 8460 -65 7616 1 375 5443 .9203 2 6079

150 -15 1010 -13 8930 -63 .6143 1 400 5013 .8715 2 5003

175 -14 6790 -13 9570 -61 3743 1 425 4674 .8265 2 3940

200 -14 2480 -14 0340 -59 0900 1 450 4015 .7777 2 2846

225 -13 7890 -14 1215 -56 7847 1 475 3735 7324 2 1715

250 -13 3320 -14 2159 -54 4714 1 500 3665 .6945 2 0633

275 -12 8610 -14 3050 -52 1573 1 525 3063 .6511 1 9551

300 -12 3990 -14 3780 -49 8540 1 550 3021 6129 1 8528

325 -11 9310 -14 4175 -47 5617 1 575 2757 5761 1 7523

350 -11 4770 -14 4130 -45 2843 1 600 2812 5401 1 6512

375 -11 0210 -14 3360 -43 0233 1 625 2326 5059 1 5642

400 -10 5790 -14 1950 -40 7900 1 650 2279 4795 1 4778

425 -10 1370 -13 9776 -38 5826 1 675 2164 4473 1 4009

450 -9 7102 -13 6972 -36 4083 1 700 2159 4204 1 3315

475 -9 2843 -13 3429 -34 2664 1 725 1888 3976 1 2692

500 -8 8738 -12 9420 -32 1680 1 750 1839 3739 1 2153

525 -8 4647 -12 4926 -30 1126 1 775 1918 3562 1 1640

550 -8 0713 -12 0113 -28 1042 1 800 1760 3437 1 1220

575 -7 6798 -11 4968 -26 1444 1 825 1756 3280 1 0634

600 -7 3040 -10 9640 -24 2410 1 850 1570 3094 1 0104

625 -6 9319 -10 4157 -22 3935 1 875 1455 2956 9450

650 -6 5726 -9 8563 -20 6050 1 900 1271 2839 8688

675 -6 2171 -9 2884 -18 8745 1 925 1168 2743 7829

700 -5 8780 -8 7188 -17 2080 1 950 1345 2643 7007

725 -5 5412 -8 1503 -15 6045 1 975 1524 2577 6226

750 -5 2215 -7 5849 -14 0629 2 000 1204 2520 5510

775 -4 9044 -7 0259 -12 5816 2 025 1133 2461 4842

800 -4 6049 -6 4759 -11 1650 2 050 0792 2367 4360

825 -4 3085 -5 9389 -9 8111 2 075 0920 2248 3897

850 -4 0303 -5 4143 -8 5207 2 100 1186 2144 3597

875 -3 7554 -4 9074 -7 2944 2 125 1053 1938 3335

900 -3 4927 -4 4167 -6 1367 2 150 0952 1809 3087

925 -3 1733 -3 8976 -5 0336 2 175 1085 1635 2856

950 -2 7012 -3 2968 -3 8727 2 200 0834 1486 2628

975 -1 7992 -2 2827 -2 4031 2 225 1005 1227 2389

1 000 -0 6345 -1 0607 -0 5755 2 250 1070 1051 2148

1 025 4076 1713 1 2111 2 275 0969 0922 1880

1 050 1 2972 2115 2 5182 .2 300 1072 0746 1648

1 075 1 7030 7044 3 2422 2 325 0880 0679 1401

1 100 1 8874 9816 3 5228 2 350 1060 0581 1198

1 125 1 9055 9528 3 5410 2 375 0840 0556 0980

1 150 1 6550 8179 3 4372 2 400 0847 0506 0792

1 175 1 4431 6857 3 3376 2 425 0847 0485 0593

1 200 1 2873 5276 3 2292 2 450 0848 0398 0. 0426

1 225 1 1281 3863 3 1310 2 475 0714 0434 0. 0289

1 250 9933 J. 2791 3 0467 2 500 1104 0394 0. 0209

348
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

<^22^°\\ = 2.00 p-k =0.210 X = 0.5000 ^22/^1= 1.50

R* '11 12 '22 R* '11 12 '22

025 -18 1830 -15 1330 -80 6602 275 8575 1 3265 3 5472

050 -18 0520 -15 1070 -79 6087 300 7479 1 2343 3 4205

075 -17 7960 -15 1205 -77 9964 325 6576 1 1727 3 2930

100 -17 4760 -15 1470 -75 9720 350 5884 1 1197 3 1525

125 -17 0760 -15 1875 -73 6727 375 5367 1 0573 3 0027

150 -16 6390 -15 2400 -71 2025 400 4991 9980 2 8510

175 -16 1540 -15 3100 -68 6312 425 4556 9413 2 6938

200 -15 6540 -15 3940 -66 0090 450 4172 8890 2 5481

225 -15 1310 -15 4920 -63 3598 475 3975 8432 2 4051

250 -14 6080 -15 5989 -60 6996 500 3738 7935 2 2726

275 -14 0760 -15 7050 -58 0362 525 3556 7522 2 1452

300 -13 5520 -15 7960 -55 3840 550 3413 7104 2 0262

325 -13 0270 -15 8490 -52 7448 575 3205 6697 1 9079

350 -12 5120 -15 8540 -50 1265 600 2999 6316 1 7982

375 -12 0020 -15 7765 -47 5312 625 2764 5999 1 6890

400 -11 5030 -15 6250 -44 9720 650 2656 5687 1 5879

425 -11 0100 -15 3821 -42 4507 675 2563 5366 1 4866

450 -10 5280 -15 0662 -39 9724 700 2386 5105 1 3897

475 -10 0530 -14 6659 -37 5393 725 2228 4858 1 3008

500 -9 5887 -14 2110 -35 1590 750 2187 4659 1 2236

525 -9 1328 -13 6997 -32 8327 775 1988 4413 1 1495

550 -8 6880 -13 1513 -30 5643 800 1695 4181 1 0765

575 -8 2522 -12 5648 -28 3514 825 1745 3951 1 0027

600 -7 8275 -11 9580 -26 2030 850 1676 3769 9360

625 -7 4145 -11 3307 -24 1186 875 1613 3612 8560

650 -7 0082 -10 6924 -22 0992 900 1559 3462 7849

675 -6 6141 -10 0446 -20 1434 925 1428 3266 7044

700 -6 2313 -9 3949 -18 2600 950 1315 3109 6328

725 -5 8591 -8 7469 -16 4455 975 1289 2992 5568

750 -5 4987 -8 1036 -14 7020 2 000 1278 2869 4953

775 -5 1497 -7 4689 -13 0295 2 025 1308 2739 4390

800 -4 8130 -6 8456 -11 4330 2 050 1277 2576 3897

825 -4 4883 -6 2388 -9 9124 2 075 1196 2422 3439

850 -4 1765 -5 6476 -8 4691 2 100 1203 2274 3101

875 -3 8773 -5 0782 -7 1042 2 125 1234 2088 2761

900 -3 5875 -4 5290 -5 8233 2 150 1198 1860 2475

925 -3 2561 -3 9546 -4 6122 2 175 1056 1725 2232

950 -2 7124 -3 3021 -3 3569 2 200 1072 1568 1968

975 -1 8258 -2 2440 -1 8093 2 225 0953 1353 1691

000 -0 6873 -0 9927 0618 2 250 0875 1193 1505

025 4314 2484 1 8491 2 275 0972 1083 1258

050 1 1841 1 2778 3 1493 2 300 0931 0955 1114

075 1 6763 1 7846 3 8894 2 325 0901 0829 0879

100 1 7777 2 0456 4 1737 2 350 0901 0723 0744

125 1 7712 2 0291 4 1839 2 375 0865 0674 0612

150 1 6436 1 9339 4 1112 2 400 0846 0624 0476

175 1 4445 1 7834 3 9986 2 425 0868 0545 0371

200 1 2690 1 6424 3 8890 2 450 0836 0464 0316

225 1 1169 1 5212 3 7788 2 475 0732 0450 0229

250 9591 1 4162 3 6564 2 500 0718 0385 0155

-349-
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

°ll^°r\ =2.00 p* =0.338 X = 0.7500 '22/^1- l-S"

R* '11 '12 '22 R* '11 '12 '22

0..025 -21,.5560 -18 .0486 -97 .4053 1 .275 .8684 1,.5794 4,.3078

0,,050 -21,.3750 -17,.9290 -96 .0259 1 .300 .7837 1,.4947 4..1291

0..075 -21..0480 -17,.9195 -93 .9513 1,.325 0,.7198 1..4220 3,.9263

0..100 -20,.6290 -17,.9360 -91 .3780 1,.350 .6727 1,.3416 3,.7190

0,.125 -20,.1220 -17,.9710 -88 .4779 1,.375 0,.6404 1,.2709 3,.5131

0,.150 -19,.5650 -18..0210 -85 .3808 1 .400 0,.5917 1..2030 3,.3016

0,.175 -18,.9620 -18,.0905 -82 .1650 1 .425 0,.5544 1..1349 3..1048

0,.200 -18,.3410 -18,.1770 -78 .8920 1,.450 0,.5303 1..0620 2,.9215

0..225 -17,.7020 -18..2830 -75,.5860 1,.475 0..5147 1,.0017 2..7472

0,.250 -17,.0630 -18,,3999 -72,.2689 1,.500 0,.4882 0,.9399 2,.5922

0,.275 -16,.4180 -18..5205 -68 .9510 1 .525 0,.4754 0,.8849 2,.4420

0..300 -15,.7840 -18..6270 -65,.6520 1,.550 0,.4464 0,.8356 2,.3099

0,.325 -15..1500 -18..6880 -62,.3770 1,.575 0,.4266 0,.7946 2..1501

0,.350 -14,.5310 -18..6900 -59 .1369 1,.600 0,.4029 0,.7551 2..0133

0,.375 -13,.9150 -18,.5900 -55,.9371 1,.625 0,.3896 0,.7166 1,.8726

0,.400 -13,.3160 -18..3970 -52,.7920 1,.650 0,.3633 0,.6889 1,.7428

0,.425 -12,.7190 -18,.0846 -49,.7039 1,.675 0,.3457 0,.6533 1,.6154

0..450 -12,.1400 -17,.6822 -46,.6778 1,.700 0,.3312 0..6197 1,.5005

0,,475 -11,.5640 -17..1768 -43,.7111 1,.725 0,.3075 0,.5854 1,.3833

0..500 -11,.0060 -16..6050 -40,.8140 1,.750 0,.2903 0,.5550 1,.2791

0.,525 -10..4510 -15..9632 -37,.9858 1,.775 0,.2770 0,,5242 1..1810

0,,550 -9,.9157 -15..2764 -35,.2266 1,.800 0,.2643 0,,4904 1,.0841

0.,575 -9,.3848 -14..5453 -32,.5372 1,.825 0,.2533 0,,4591 0,.9997

0,,600 -8..8741 -13..7890 -29,.9270 1,.850 0,.2443 0,,4268 0,.9061

0,,625 -8..3708 -13..0092 -27,.3947 1,.875 0,.2301 0,,4049 0,.8252

0,,650 -7..8828 -12..2165 -24,.9424 1,.900 0,.2247 0,,3774 0..7495

0,,675 -7,.4030 -11..4138 -22,.5713 1,.925 0,.2138 0,,3541 0,.6762

0,,700 -6,.9443 -10..6110 -20,.2880 1,.950 0,.2123 0,,3300 0,.6150

0,,725 -6,.4922 -9..8122 -18,.0936 1,.975 0,.2021 0,,3099 0,,5493

0,,750 -6,.0618 -9..0218 -15,.9892 2,.000 0,.1906 0,,2851 0,,4862

0,,775 -5..6392 -8..2448 -13,.9764 2,.025 0,.1883 0,,2662 0,,4262

0,,800 -5,.2390 -7..4842 -12,.0620 2,.050 0,.1705 0,,2462 0,,3742

0,,825 -4..8476 -6..7475 -10,.2465 2,.075 0..1610 0.,2265 0,,3357

0,,850 -4,.4790 -6..0327 -8,.5334 2,.100 0,.1548 0,,2105 0,,2988

0,,875 -4..1198 -5..3481 -6,.9233 2,.125 0,.1502 0,,1959 0,,2592

0,,900 -3..7787 -4,.6909 -5,.4230 2,.150 0,.1399 0.,1754 0.,2315

0,,925 -3,.3931 -4..0186 -4,.0181 2,.175 0,.1360 0.,1578 0.,1982

0,,950 -2,.8210 -3..2718 -2,.5888 2,.200 0,,1225 0,,1470 0,,1685

0,,975 -1,.9073 -2,.1409 -0,.9019 2,.225 0,,1106 0.,1322 0.,1407

1.,000 -0,.7700 -0..8444 1,.0342 2,.250 0.,1065 0.,1184 0.,1229

1,,025 0,.3003 0..4202 2..8378 2,.275 0,,1004 0.,1055 0,,1066

1,,050 1..0605 1..4460 4..0713 2,.300 0.,0926 0.,0951 0,,0949

1,,075 1..4985 1..9274 4,.7481 2,.325 0.,0855 0,,0848 0,,0722

1,,100 1,.6599 2..1909 5,.0360 2,.350 0,,0844 0,,0743 0,,0611

1.,125 1,.6269 2..1950 5,.0670 2,.375 0,,0807 0.,0691 0,,0453

1.,150 1,.5127 2..1147 5..0076 2,.400 0,,0739 0.,0624 0,,0437

1,.175 1,.3561 1..9993 4,.8995 2,.425 0.,0716 0.,0507 0.,0375

1..200 1,.2137 1..8753 4..7814 2,.450 0.,0556 0.,0412 0,,0286

1,.225 1..0699 1..7668 4,.6359 2,,475 0,,0590 0.,0384 0,,0243

1..250 0,.9684 1..6611 4..4774 2,,500 0.,0474 0,,0304 0.,0135

-350
DIRECT CORRELATION FUNCTIONS FOR T* = 1.0

o^^joy. =2.00 p* =0.508 X = 0.9005 ^22/^ir 1=°

R* '11 '12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

100

125

150

175

200

225

250

22.0140

21.8000

21.4490

20.9870

20.4460

19.8460

19.2120

18.5520

17.8860

17.2130

16.5470

15.8820

15.2300

14.5830

13.9500

13.3250

12.7120

12.1090

11.5170

10.9370

10.3690

-9.8132

-9.2706

-8.7420

-8.2281

7.7257

2381

7669

3089

8686

5.4417

0336

6391

2642

9029

5577

1782

6347

7902

0.7676

0.2104

0.9151

1.3272

1.4816

1.4809

1.4024

1.2940

1.1703

1.0617

0.9648

17.4501

17.3240

17.3220

17.3500

17.4020

17.4710

17.5620

17.6700

17.8000

17.9439

18.0960

18.2380

18.3395

18.3810

18.3215

18.1650

17.8831

17.5052

17.0218

16.4670

15.8362

15.1574

14.4328

13.6800

12.9002

12.1065

11.3008

10.4940

-9.6908

-8.8948

-8.1125

-7.3467

-6.6051

8861

1981

5384

8703

1423

0802

0.8845

0.2896

,2300

7228

,9938

,0276

,9847

,9055

1.7889

1.7071

1.6032

98.6283

•97.1300

94.9292

•92.2190

•89.1809

85.9459

82.5970

•79.1970

•75.7730

•72.3490

68.9360

•65.5560

•62.2180

•58.9309

•55.6991

•52.5360

•49.4409

46.4138

43.4511

40.5590

37.7368

34.9866

32.3062

29.7070

27.1867

24.7494

22.3933

20.1270

17.9496

15.8622

13.8644

11.9650

10.1625

-8.4619

-6.8635

-5.3744

-3.9873

-2.6245

-1.1117

0.4868

2.0744

2316

9362

,2767

,4854

4.4966

4.5117

4.4259

4.2960

4.1564

275

300

325

350

375

1.400

1.425

1.450

1.475

500

525

550

575

600

625

1.650

1.675

1.700

1.725

1.750

1.775

800

825

850

875

900

925

1.950

1.975

2.000

2.025

050

075

100

125

,150

,175

,200

,225

,250

,275

,300

2.325

2.350

2.375

2.400

2.425

2.450

2.475

2.500

0.8799

0.8166

0.7579

0.7131

0.6677

0.6300

0.5924

0.5686

0.5390

0.5073

0.4825

0.4578

0.4298

0.4013

0.3805

0.3623

0.3353

0.3170

0.3010

0.2812

0.2709

0.2626

0.2523

0.2369

0.2294

0.2230

0.2093

0.2003

0.1873

0.1770

0.1667

0.1534

0.1428

0.1378

0.1266

0.1163

0.1090

0.0937

0.0886

0.0809

0.0705

0.0683

0.0595

0.0586

0.0548

0.0442

0.0438

0.0377

0.0341

0.0285

.5205

.4391

.3589

.2822

.2018

1.1300

1.0512

0.9782

0.9113

0.8505

0.8014

0.7470

0.7131

0.6824

0.6483

0.6211

0.5844

0.5459

0.5181

0.4805

0.4498

0.4179

0.3877

0.3606

0.3344

0.3126

0.2896

0.2660

0.2512

0.2371

0.2192

0.2012

0.1842

0.1684

0.1538

0.1444

0.1267

0.1161

0.1074

0.1012

0.0895

0.0828

0.0726

0.0595

0.0537

0.0509

0.0415

0.0341

0.0330

0.0263

0019

7981

6030

3811

1791

9846

7986

6385

4709

3409

2017

0486

9088

7950

6699

5319

1.4196

3235

2367

1322

0415

0.9595

0.8764

0.7996

0.7296

0.6496

0.5925

0.5298

0.4833

0.4332

0.3921

0.3595

0.3230

0.2914

0.2598

0.2283

0.2036

0.1819

0.1642

0.1523

0.1258

0.1036

0.0902

0.0892

0.0659

0.0737

0.0811

0.0476

0.0354

0.0262

351
^22/^^11 = 2.00 p* =0. 612 ^r 0.9502 ^22/^1= 1..50

R* ^11 ^12 <'22 R* ^11 ^12 ^22

025 -22 .0497 -16 .4275 -98 .0285 1 275 .8289 1 .1390 2 .5811

050 -21 .8162 -16 .4587 -96 .5779 1 .300 7574 1 .0593 2 .4320

075 -21 .4413 -16 .5090 -94 .4011 1 325 .6970 .9888 2 .2565

100 -20 9622 -16 .5764 -91 .7060 1 350 .6386 .9096 2 .1056

125 -20 3959 -16 6658 -88 .6802 1 375 .5999 .8430 1 .9079

150 -19 7801 -16 7724 -85 .4607 1 400 .5549 .7711 1 .7806

175 -19 1225 -16 9002 -82 .1369 1 425 .5196 .7064 1 .6678

200 -18 4518 -17 0460 -78 .7636 1 450 4801 6346 1 .5413

225 -17 7658 -17 2140 -75 .3743 1 475 .4452 5818 1 .4880

250 -17 0850 -17 3966 -71 .9911 1 500 4149 5291 1 .3990

275 -16 4018 -17 5865 -68 6313 1 525 3813 4916 1 .3392

300 -15 7316 -17 7684 -65 3098 1 550 3501 4588 1 .2470

325 -15 0644 -17 9104 -62 0395 1 575 3214 4344 1 .1584

350 -14 4131 -17 9933 -58 8306 1 600 2913 4147 1 .0594

375 -13 7672 -17 9752 -55 6896 1 625 2703 3884 9761

400 -13 1377 -17 8599 -52 6195 1 650 2413 3725 9491

425 -12 5149 -17 6166 -49 6207 1 675 2253 3482 8573

450 -11 9085 -17 2768 -46 6920 1 700 2060 3231 7755

475 -11 3101 -16 8302 -43 8321 1 725 1883 2933 7727

500 -10 7281 -16 3099 -41 0399 1 750 1762 2689 7012

525 -10 1554 -15 7121 -38 3154 1 775 1660 2416 6610

550 -9 5994 -15 0651 -35 6603 1 800 1602 2223 5931

575 -9 0539 -14 3701 -33 0771 1 825 1556 2082 5606

600 -8 5257 -13 6450 -30 5690 1 850 1485 1850 5259

625 -8 0094 -12 8908 -28 1382 1 875 1463 1806 4830

650 -7 5108 -12 1209 -25 7863 1 900 1375 1716 4600

675 -7 0253 -11 3400 -23 5142 1 925 1253 1590 4495

700 -6 5578 -10 5549 -21 3225 1 950 1183 1485 3795

725 -6 1045 -9 7707 -19 2125 1 975 1091 1406 4052

750 -5 6692 -8 9926 -17 1864 2 000 0996 1239 3598

775 -5 2489 -8 2280 -15 2467 2 025 0910 1136 3197

800 -4 8464 -7 4780 -13 3961 2 050 0835 1006 2754

825 -4 4597 -6 7505 -11 6370 2 075 0727 0926 2674

850 -4 0905 -6 0449 -9 9720 2 100 0691 0826 2266

875 -3 7376 -5 3705 -8 4042 2 125 0562 0816 2177

900 -3 3983 -4 7228 -6 9365 2 150 0549 0680 1735

925 -3 0305 -4 0687 -5 5677 2 175 0494 0615 1493

950 -2 5055 -3 3622 -4 2388 2 200 0456 0577 1468

975 -1 7116 -2 3546 -2 8028 2 225 0396 0557 1447

1 000 -0 7257 -1 2178 -1 2915 2 250 0382 0518 0979

1 025 1877 -0 1265 0327 2 275 0312 0455 0877

1 050 8765 7580 1 0615 2 300 0302 0401 0833

1 075 1 2519 2382 1 8597 2 325 0260 0394 0706

1 100 1 4110 5081 2 3374 2 350 0282 0333 0926

1 125 1 4102 5715 2 5692 2 375 0212 0262 0306

1 150 1 3357 5366 2 7075 2 400 0199 0224 0359

1 175 1 2311 4705 2 7724 2 425 0185 0170 0481

1 200 1 1136 3802 2 7692 2 450 0136 0200 0469

1 225 1 0055 3000 2 7531 2 475 0122 0. 0123 0195

1 250 9107 2069 2 6859 2 500 0103 0071 0212

352
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

^22/^11 = 2.00 p* =0. 091 ^r 0.0498 '22/^11= 0.50

R* ^11 ^12 ^22 R* ^11 ^12 ^22

025 -3 8793 -3 6036 -9 7911 1.275 5437 0.2802 1986

050 -3 8623 -3 6018 -9 7153 1.300 4336 0.2488 1840

075 -3 8395 -3 6061 -9 5939 1.325 4245 0.2203 1706

100 -3 8064 -3 6128 -9 4340 1.350 3374 0.1937 1582

125 -3 7672 -3 6215 -9 2429 1.375 3290 0.1771 1474

150 -3 7201 -3 6312 -9 0276 1.400 2752 0.1571 1371

175 -3 6684 -3 6407 -8 7943 1.425 2568 0.1426 1272

200 -3 6111 -3 6490 -8 5488 1.450 1919 0.1261 1186

225 -3 5509 -3 6548 -8 2950 1.475 2277 0.1164 1104

250 -3 4869 -3 6573 -8 0359 1.500 2048 0.1101 1025

275 -3 4213 -3 6531 -7 7736 1.525 1287 0.0990 0966

300 -3 3534 -3 6426 -7 5107 1.550 1473 0.0899 0896

325 -3 2851 -3 6243 -7 2481 1.575 1131 0.0811 0819

350 -3 2154 -3 5984 -6 9869 1.600 0783 0.0713 0764

375 -3 1462 -3 5622 -6 7274 1.625 1020 0.0662 0707

400 -3 0761 -3 5185 -6 4709 1.650 0891 0.0580 0664

425 -3 0071 -3 4671 -6 2175 1.675 0387 0.0526 0619

450 -2 9378 -3 4092 -5 9676 1.700 0532 0.0480 0575

475 -2 8698 -3 3437 -5 7213 1.725 0979 0.0437 0539

500 -2 8018 -3 2737 -5 4793 1.750 0361 0.0391 0513

525 -2 7354 -3 1992 -5 2418 1.775 0485 0.0350 0485

550 -2 6691 -3 1215 -5 0086 1.800 0620 0.0299 0455

575 -2 6047 -3 0401 -4 7801 1.825 0264 0.0308 0434

600 -2 5405 -2 9570 -4 5569 1.850 0884 0.0289 0417

625 -2 4783 -2 8724 -4 3388 1.875 0147 0.0263 0395

650 -2 4163 -2 7869 -4 1260 1.900 0312 0.0281 0372

675 -2 3564 -2 7004 -3 9186 1.925 0549 0.0242 0356

700 -2 2968 -2 6140 -3 7173 1.950 0755 0.0192 0329

725 -2 2394 -2 5279 -3 5219 1.975 0193 0.0192 0314

750 -2 1822 -2 4425 -3 3325 2.000 0377 0.0173 0295

775 -2 1272 -2 3577 -3 1491 2.025 - 0012 0.0188 0275

800 -2 0725 -2 2742 -2 9724 2.050 0238 0.0179 0254

825 -2 0201 -2 1911 -2 7983 2.075 0324 0.0161 0245

850 -1 9679 -2 1058 -2 5995 2.100 0017 0.0153 0217

875 -1 9021 -1 9701 -2 3090 2.125 0275 0.0123 0205

900 -1 7740 -1 7664 -1 8774 2.150 - 0029 0.0111 0184

925 -1 5265 -1 3899 -1 3525 2.175 0273 0.0127 0175

950 -1 1077 _ 9482 _ 8263 2.200 0174 0.0128 0152

975 5499 - 4909 - 3911 2.225 0206 0.0116 0149

1 000 . 0285 . 0960 - 0756 2.250 - 0380 0.0114 0126

1 025 3541 1721 1242 2.275 0158 0.0093 0113

1 050 6850 3636 2395 2.300 0061 0.0046 0102

1 075 8795 4399 2965 2.325 - 0013 0.0037 0092

1 100 8821 4825 3155 2.350 - 0091 0.0051 0082

1 125 9807 .4816 3114 2.375 - 0254 0.0041 0074

1 150 .8833 .4563 2958 2.400 - 0400 0.0044 0069

1 175 8206 .4186 2763 2.425 - 0186 0.0015 0061

1 200 .7789 .3826 2559 2.450 - 0245 0.0017 0046

1 225 .7765 .3495 2343 2.475 - .0193 0.0032 0047

1 .250 .5398 .3181 2151 2.500 - .0149 -.0001 0037

353-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

^22/^11 = 2.00 p* =0. 095 \= 0.0999 ^22/^1= 0.50

R* ^11 ^12 ^22 R* ^11 ^12 ^22

025 -3 8800 -3.5716 -9 .7574 1.275 0.5535 0.2798 .2248

050 -3 8624 -3.5691 -9 6807 1.300 0.5277 0.2457 2103

075 -3 8390 -3.5735 -9 5581 1.325 0.4604 0.2236 1963

100 -3 8049 -3.5805 -9 3966 1.350 0.3724 0.1983 .1831

125 -3 7648 -3.5897 -9 2040 1.375 0.3477 0.1816 .1708

150 -3 7166 -3.5998 -8 9872 1.400 0.3482 0.1574 1610

175 -3 6640 -3.6099 -8 7527 1.425 0.2520 0.1472 1504

200 -3 6056 -3.6189 -8 5061 1.450 0.2144 0.1317 .1422

225 -3 5446 -3.6256 -8 2514 1.475 0.2207 0.1185 1340

250 -3 4795 -3.6290 -7 9917 1.500 0.2014 0.1092 1251

275 -3 4134 -3.6258 -7 7290 1.525 0.2038 0.1003 1170

300 -3 3446 -3.6165 -7 4658 1.550 0.1104 0.0905 1105

325 -3 2758 -3.5992 -7 2031 1.575 0.1201 0.0870 1034

350 -3 2054 -3.5743 -6 9417 1.600 0.1498 0.0783 0974

375 -3 1357 -3.5389 -6 6821 1.625 0.1235 0.0726 0913

400 -3 0652 -3.4960 -6 4257 1.650 0.1221 0.0645 0849

425 -2 9959 -3.4451 -6 1724 1.675 0.1241 0.0576 0807

450 -2 9262 -3.3877 -5 9226 1.700 0.1154 0.0516 0757

475 -2 8581 -3.3226 -5 6764 1.725 0.0954 0.0477 0723

500 -2 7899 -3.2529 -5 4347 1.750 0.0759 0.0442 0700

525 -2 7235 -3.1787 -5 1974 1.775 0.0533 0.0408 0646

550 -2 6573 -3.1012 -4 9645 1.800 0.0473 0.0354 0621

575 -2 5929 -3.0201 -4 7363 1.825 0.0850 0.0357 0588

600 -2 5288 -2.9371 -4 5134 1.850 0.0790 0.0330 0553

625 -2 4667 -2.8527 -4 2958 1.875 0.0789 0.0312 0533

650 -2 4049 -2.7674 .4 0834 1.900 0.0744 0.0297 0503

675 -2 3452 -2.6811 -3 8764 1.925 0.0655 0.0257 0486

700 -2 2858 -2.5950 -3 6755 1.950 0.0567 0.0224 0459

725 -2 2285 -2.5092 -3 4806 1.975 0.0732 0.0221 0425

750 -2 1716 -2.4239 -3 2916 2.000 0.0745 0.0194 0397

775 -2 1167 -2.3394 -3 1088 2.025 0.0517 0.0190 0381

800 -2 0624 -2.2562 -2 9325 2.050 0.0698 0.0191 0337

825 -2 0101 -2.1735 -2 7591 2.075 0.0390 0.0164 0323

850 -1 9573 -2.0891 -2 5615 2.100 0.0407 0.0124 0301

875 -1 9003 -1.9552 -2 2721 2.125 0.0229 0.0139 0275

900 -1 7807 -1.7544 -1 8451 2.150 0.0337 0.0151 0252

925 -1 5092 -1.3813 -1 3197 2.175 0.0267 0.0116 0234

950 -1 1124 -.9382 _ 8004 2.200 0.0065 0.0110 0221

975 - 5136 -.4938 _ 3654 2.225 0.0006 0.0091 0199

1 000 - 0120 -.0935 . 0547 2.250 0.0137 0.0094 0171

1 025 4555 0.1643 1502 2.275 0.0266 0.0099 0154

1 050 7558 0.3572 2651 2.300 0.0237 0.0107 0144

1 075 9269 0.4376 3227 2.325 -.0033 0.0072 0131

1 100 9752 0.4861 3391 2.350 0.0252 0.0059 0119

1 125 1 0439 0.4805 3338 2.375 0.0161 0.0068 0109

1 150 8701 0.4580 3201 2.400 0.0105 0.0061 0. 0102

1 175 8719 0.4290 2984 2.425 0.0075 0.0076 0. 0077

1 200 8244 0.3882 2801 2.450 -.0022 0.0039 0. 0067

1 225 6915 0.3493 2597 2.475 0.0000 0.0036 0. 0060

1 250 6193 0.3114 2413 2.500 0.0085 0.0021 0. 0055

-354-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

o^O^^W - 2.00 p* =0.107 X = 0.2500 ^22/^11= 0.50

R* '11 '12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

,8727

,8544

,8292

,7920

,7491

6972

,6416

,5795

,5157

,4474

,3788

,3074

,2365

,1640

0926

0204

9496

8786

8092

7401

6726

,6057

5404

,4759

4131

,3512

2908

,2315

1737

,1169

0618

,0077

,9552

,9039

,8432

,7392

,4841

,0802

-.5309

-.0089

0.4613

0.7311

0.8674

0.9071

0.9183

0.8789

0.8020

0.7533

0.6640

0.6155

-3.4142

-3.4184

-3.4250

-3.4337

3.4443

-3.4561

-3.4683

-3.4797

-3.4893

-3.4960

-3.4965

-3.4912

-3.4778

-3.4568

•3.4251

.3857

.3379

.2834

.2210

.1538

.0820

.0066

.9276

.8468

.7645

.6811

.5969

.5127

-2.4289

-2.3455

-2.2631

-2.1818

-2.1011

-2.0184

-1.8878

-1.6933

-1.3301

-.9039

-.4598

-.0722

0.1903

0.3803

0.4559

0.5017

0.4940

0.4778

0.4424

0.4084

0.3709

0.3331

•9.6899

•9.6106

9.4843

•9.3188

•9.1221

8.9018

•8.6643

•8.4155

•8.1590

8981

6346

3711

1083

8473

5882

3325

0801

8314

5865

3462

1103

8791

6525

4.4313

4.2154

0049

7998

6008

4077

2207

3.0397

2.8654

2.6938

2.4988

2.2156

1.8006

1.2838

-.7778

-.3526

-.0497

0.1535

0.2673

0.3277

0.3449

0.3423

0.3275

0.3140

0.2949

0.2756

0.2582

1.275

1.300

1.325

1.350

1.375

1.400

1.425

1.450

1.475

1.500

1.525

550

575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

950

975

000

025

050

075

100

125

150

175

200

2.225

2.250

2.275

2.300

2.325

2.350

2.375

2.400

2.425

2.450

2.475

2.500

0.5615

0.5070

0.4301

0.4280

0.3553

0.3299

0.2701

0.2346

0.2386

0.1890

0.1715

0.1449

0.1491

0.1457

0.1182

0.1093

0.1060

0.0907

0.1051

0.0842

0.0994

0.0639

0.0677

0.0409

0.0509

0.0556

0.0503

0.0422

0.0283

0.0282

0.0232

0.0241

0.0259

0.0305

0.0282

0.0199

0.0305

0.0252

0.0176

0.0228

0.0167

0.0274

0.0173

0.0116

0.0195

0.0065

0.0092

0.0153

0.0054

0.0055

0.3022

0.2670

0.2419

0.2168

0.1994

0.1823

0.1638

0.1473

0.1388

0.1225

0.1128

0.1046

0.0931

0.0863

0.0785

0.0704

0.0652

0.0628

0.0566

0.0487

. 0449

0.0395

0.0391

0.0371

0.0344

0.0311

0.0286

0.0248

0.0252

0.0260

0.0224

0.0183

0.0188

0.0210

0.0184

0.0162

0.0144

0.0144

0.0124

0.0127

0.0106

0.0098

0.0099

0.0110

0.0090

0.0088

0.0090

0.0066

0.0080

0.0092

0.2411

0.2286

0.2128

0.2013

0.1887

0.1804

0.1707

0.1595

0.1501

0.1424

0.1355

0.1287

0.1195

0.1103

0.1085

0.1008

0.0959

0.0900

0.0876

0.0815

0.0782

0.0736

0.0714

0.0684

0.0627

0.0590

0.0575

0.0533

0.0509

0.0475

0.0440

0.0417

0.0386

0.0361

0.0330

0.0311

0.0283

0.0246

0.0240

0.0210

0.0197

0.0177

0.0152

0.0143

0.0127

0.0113

0.0100

0.0089

0.0065

0.0066

-355-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

'^22/^^11 = 2.00 p* =0. 137 ^r 0.5000 ^22/^ir 0.50

R* ^11 ^12 ^22 R* ^11 ^12 ^22

025 -3 7798 -3 1598 -9 4258 1.275 4848 0.2913 .2391

050 -3 7608 -3 1596 -9 3422 1.300 4222 0.2622 .2239

075 -3 7310 -3 1658 -9 2097 1.325 3805 0.2368 2082

100 -3 6911 -3 1750 -9 0372 1.350 3379 0.2112 1922

125 -3 6427 -3 1868 -8 8340 1.375 3001 0.1932 1813

150 -3 5873 -3 2007 -8 6080 1.400 2567 0.1752 1761

175 -3 5264 -3 2161 -8 3662 1.425 2342 0.1564 1677

200 -3 4611 -3 2317 -8 1143 1.450 2076 0.1418 1521

225 -3 3929 -3 2466 -7 8563 1.475 1878 0.1294 1468

250 -3 3222 -3 2595 -7 5951 1.500 1707 0.1177 1380

275 -3 2504 -3 2675 -7 3325 1.525 1517 0.1069 .1300

300 -3 1775 -3 2700 -1 0710 1.550 1387 0.0982 .1233

325 -3 1046 -3 2645 -6 8112 1.575 1215 0.0877 .1144

350 -3 0315 -3 2514 -6 5539 1.600 1065 0.0824 .1083

375 -2 9591 -3 2275 -6 2994 1.625 0909 0.0737 1020

400 -2 8870 -3 1953 -6 0490 1.650 0914 0.0655 .0934

425 -2 8162 -3 1541 -5 8026 1.675 0852 0.0621 0899

450 -2 7458 -3 1058 -5 5604 1.700 0724 0.0584 0870

475 -2 6771 -3 0493 -5 3225 1.725 0653 0.0528 0818

500 -2 6090 -2 9877 -5 0895 1.750 0610 0.0485 0773

525 -2 5428 -2 9210 -4 8613 1.775 0551 . 0449 0707

550 -2 4772 -2 8507 -4 6380 1.800 0473 0.0409 0665

575 -2 4135 -2 7766 -4 4195 1.825 0465 0.0371 0625

600 -2 3506 -2 7005 -4 2065 1.850 0475 0.0323 0603

625 -2 2897 -2 6226 -3 9989 1.875 0399 0.0311 0592

650 -2 2295 -2 5437 -3 7967 1.900 0389 0.0284 0564

675 -2 1714 -2 4639 -3 5999 1.925 0304 0.0282 0520

700 -2 1140 -2 3840 -3 4092 1.950 0339 0.0257 0510

725 -2 0587 -2 3045 -3 2244 1.975 0282 0.0231 0485

750 -2 0041 -2 2254 -3 0456 2.000 0224 0.0224 0485

775 -1 9516 -2 1471 -2 8729 2.025 0210 0.0217 0446

800 -1 8998 -2 0701 -2 7065 2.050 0189 0.0203 0406

825 -1 8502 -1 9936 -2 5430 2.075 0186 0.0190 0384

850 -1 8009 -1 9154 -2 3586 2.100 0159 0.0173 0337

875 -1 7441 -1 7913 -2 0936 2.125 0142 0.0155 0336

900 -1 6387 -1 6101 -1 7033 2.150 0162 0.0128 0308

925 -1 4098 -1 2663 -1 2247 2.175 0116 0.0114 0266

950 -1 0214 . 8617 . 7534 2.200 0113 0.0116 0249

975 - 5313 - 4450 - 3503 2.225 0084 0.0115 0218

1 000 - 0437 . 0719 _ 0570 2.250 0100 0.0104 0200

1 025 3406 1709 1425 2.275 0088 0.0083 0204

1 050 5962 3491 2511 2.300 0040 0.0086 0170

1 075 7569 4301 3125 2.325 0081 0.0083 0169

1 100 8118 4726 3355 2.350 0099 0.0085 0161

1 125 8154 4697 3359 2.375 0037 0.0067 0138

1 150 7703 4496 3228 2.400 0114 0.0079 0117

1 175 7401 4248 3091 2.425 0098 0.0065 0099

1 200 6614 3908 2891 2.450 0061 0.0075 0103

1 225 5899 3553 2721 2.475 0070 0.0050 0086

1 250 5406 3185 2586 2.500 0058 . 0044 0069

356
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

<^12/°\x ° 2.00 p* =0.190 x^= 0.7500 €22/^1° 0.50

R* '11 '12 '22 R*

11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

•3.5954

•3.5735

•3.5405

•3.4950

3.4418

3802

3146

2441

1722

•3.0977

3.0237

•2.9486

•2.8749

.8010

,7290

,6574

,5877

,5189

,4521

3864

3226

2600

,1993

1399

0822

0259

9713

-1.9181

•1.8664

1.8162

1.7676

1.7204

1.6747

1.6300

1.5796

1.4864

1.2772

-.9272

-.4810

-.0427

0.3095

0.5460

0.6951

0.7507

0.7526

0.7263

0.6767

0.6184

0.5587

0.5014

6935

6974

7059

7174

7321

7496

•2.7700

•2.7919

8144

8362

8548

8686

8748

8734

8612

8405

8100

7721

7260

6743

6172

5563

•2.4915

•2.4245

•2.3557

•2.2856

•2.2146

•2.1435

2.0726

2.0020

1.9323

8.7676

8.6809

8.5450

8.3698

8.1655

,8636

,7955

,7260

,6157

,4520

,1457

,7789

-.4055

-.0738

0.1531

0.3160

0.3957

0.4403

0.4401

0.4290

0.4001

0.3694

0.3421

0.3134

.9406

.7021

.4560

.2057

.9539

.7025

.4534

.2071

5.9644

5.7255

.4913

.2616

.0365

,8162

,6011

•4.3910

4.1860

3.9859

3.7913

3.6020

3.4179

3.2391

0659

8983

7365

5802

2.4298

2.2826

1175

8856

5460

1260

-.6975

-.3471

-.0775

0.0970

0.2050

0.2681

0.2969

0.3078

0.3046

0.2974

0.2861

0.2681

0.2487

275

300

325

350

375

1.400

1.425

1.450

1.475

1.500

1.525

1.550

1.575

1.600

1.625

1.650

1.675

1.700

1.725

750

775

800

825

850

875

900

925

950

1.975

2.000

2.025

2.050

2.075

2.100

2.125

2.150

175

200

225

250

2.275

2.300

2.325

2.350

2.375

2.400

2.425

2.450

2.475

2.500

0.4428

0.4063

0.3573

0.3223

0.2863

0.2568

0.2253

0.2048

0.1836

0.1620

0.1455

0.1305

0.1193

0.1064

0.1000

0.0909

0.0821

0.0725

0.0678

0.0614

0.0538

0.0481

0.0447

0.0412

0.0393

0.0334

0.0353

0.0333

0.0252

0.0231

0.0211

0.0214

0.0181

0.0179

0.0147

0.0148

0.0128

0.0124

0.0137

0.0108

0.0130

0.0100

0.0062

0.0057

0.0028

0.0043

0.0032

0.0025

0.0014

0.0022

0.2843

0.2610

0.2323

0.2112

0.1911

0.1726

0.1579

0.1442

0.1327

0.1196

0.1103

0.1025

0.0912

0.0824

0.0780

0.0709

0.0663

0.0607

0.0561

0.0543

0.0496

0.0479

0.0431

0.0405

0.0380

0.0340

0.0322

0.0290

0.0275

0.0251

0.0235

0.0227

0.0232

0.0222

0.0196

0.0170

0.0174

0.0178

0.0150

0.0150

0.0125

0.0125

0.0099

0.0105

0.0088

0.0078

0.0080

0.0073

0.0061

0.0072

0.2367

0.2248

0.2123

0.2009

0.1871

0.1748

0.1631

0.1563

0.1458

0.1325

0.1272

0.1195

0.1168

0.1068

0.1041

0.0960

0.0885

0.0870

0.0773

0.0786

0.0736

0.0681

0.0674

0.0600

0.0595

0.0555

0.0504

0.0482

0.0437

0.0369

0.0416

0.0354

0.0325

0.0336

0.0301

0.0282

0.0242

0.0247

0.0237

0.0201

0.0221

0.0178

0.0162

0.0148

0.0130

0.0123

0.0086

0.0083

0.0101

0.0075

357-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

^22/^11 = 2.00 p* =0. 247 ^r 0.9001 ^22/hr 0.50

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0..025 -3 .3568 -2.2645 -7 .9013 1.275 0.4234 0.2661 .1953

0,.050 -3 .3343 -2.2691 -7 .8153 1.300 0.3784 0.2413 .1771

0,.075 -3 .2988 -2.2784 -7 .6808 1.325 0.3402 0.2199 .1645

0..100 -3 .2518 -2.2910 -7 .5085 1.350 0.3046 0.1941 .1476

0..125 -3,.1958 -2.3075 -7 .3090 1.375 0.2746 0.1802 .1385

0,.150 -3 .1329 -2.3273 -7 .0913 1.400 0.2451 0.1598 .1324

0,.175 -3..0652 -2.3508 -6 .8623 1.425 0.2189 0.1464 .1216

0,.200 -2,.9941 -2.3768 -6,.6279 1.450 0.1995 0.1325 .1131

0,.225 -2,.9212 -2.4045 -6 .3913 1.475 0.1801 0.1199 .1077

0,.250 -2,.8473 -2.4324 -6 .1551 1.500 0.1607 0.1113 .0950

0,.275 -2,.7734 -2.4582 -5,.9208 1.525 0.1455 0.0996 .0883

0,.300 -2..7000 -2.4801 -5,.6901 1.550 0.1324 0.0909 .0786

0,.325 -2,.6274 -2.4949 -5,.4635 1.575 0.1182 0.0824 .0763

0,.350 -2..5560 -2.5024 -5,.2414 1.600 0.1086 0.0749 0,.0695

0,.375 -2,.4860 -2.4994 -5,.0240 1.625 0.0979 0.0679 0,.0664

0,.400 -2,.4176 -2.4879 -4,.8120 1.650 0.0902 0.0601 0,.0666

0,.425 -2,.3508 -2.4666 -4,.6051 1.675 0.0791 0.0558 .0534

0,.450 -2,.2856 -2.4377 -4,.4032 1.700 0.0704 0.0509 0..0555

0,.475 -2,.2222 -2.4006 -4..2064 1.725 0.0645 0.0463 0,.0466

0,.500 -2,,1605 -2.3581 -4,.0151 1.750 0.0590 0.0432 .0473

0,.525 -2,,1005 -2.3100 -3,.8289 1.775 0.0546 0.0393 0,.0453

0,.550 -2,,0421 -2.2582 -3,.6478 1.800 0.0509 0.0335 .0486

0,,575 -1,,9854 -2.2026 -3,.4716 1.825 0.0452 0.0313 0,.0457

0,.600 -1,,9304 -2.1449 -3..3009 1.850 0.0392 0.0311 0,.0358

0..625 -1,,8770 -2.0852 -3..1352 1.875 0.0374 0.0277 0,.0390

0,.650 -1,,8252 -2.0244 -2,.9746 1.900 0.0343 0.0265 0,.0390

0..675 -1,,7750 -1.9626 -2,.8190 1.925 0.0299 0.0232 0,,0340

0,.700 -1.,7264 -1.9007 -2,.6685 1.950 0.0279 0.0227 0,,0300

0,.725 -1,,6793 -1.8388 -2,.5232 1.975 0.0241 0.0186 0.,0295

0..750 -1,,6337 -1.7773 -2,,3832 2.000 0.0256 0.0161 0.,0256

0,.775 -1.,5897 -1.7166 -2.,2483 2.025 0.0231 0.0152 0,.0221

0..800 -1,,5471 -1.6567 -2.,1185 2.050 0.0212 0.0140 0..0209

0.,825 -1,,5060 -1.5975 _ \ ,,9923 2.075 0.0181 0.0136 0..0201

0..850 -1,,4660 -1.5369 . ]_ _,8518 2.100 0.0168 0.0124 0,.0173

0,,875 -1,,4213 -1.4409 ~

"]_ ^,6562 2.125 0.0154 0.0112 0,.0145

0,,900 -1,,3377 -1.2981 - \ ^,3663 2.150 0.0128 0.0082 0..0101

0,,925 -1,,1532 -1.0262 . ]_ ^,0002 2.175 0.0127 0.0074 0,.0108

0,,950 ,8380 -.7020 - ,6557 2.200 0.0100 0.0068 0..0126

0,,975 ,4348 -.3689 . ,3346 2.225 0.0109 0.0062 0..0102

1,,000 - ,0382 -.0637 . ,0927 2.250 0.0077 0.0055 0. 0102

1.,025 0!,2784 0.1377 0'..0567 2.275 0.0062 0.0063 0..0088

1,,050 0,,5033 0.2871 0,,1582 2.300 0.0065 0.0055 0. 0097

1,,075 0.,6250 0.3629 0.,2129 2.325 . 0040 0.0033 0..0046

1,,100 0,,6804 0.4082 0..2392 2.350 0.0028 0.0041 0. 0005

1.,125 0,,6875 0.4029 0,,2590 2.375 0.0038 0.0027 0. 0006

1,,150 0,,6629 0.3958 0,,2515 2.400 0.0014 0.0030 0. 0083

1,,175 0,,6203 0.3730 0,,2442 2.425 0.0023 0.0026 0. 0055

1,,200 0,,5699 0.3454 0,.2257 2.450 -.0003 0.0028 0. 0068

1,,225 0.,5197 0.3176 0,.2119 2.475 0.0005 0.0022 0. 0098

1,,250 0,,4688 0.2926 0,.2135 2.500 0.0014 0.0024 0. 0095

-358
a,Z2/^ll = 2.00 p* =0. 274 ^r 0.9502 ^22/^11= 0.50

R* ^11 ^12 ^22 R* *=11 ^12 ^22

0,.025 -3 .2410 -2 .0849 -7 .4945 1.275 0.4087 0.2615 0,.2493

0,.050 -3 .2179 -2 .0900 -7,.4099 1.300 0.3683 0.2358 0,.2323

0,.075 -3 .1825 -2 .0997 -7,.2778 1.325 0.3290 0.2124 0,.2190

0,,100 -3,.1348 -2 .1128 -7,.1090 1.350 0.2976 0.1933 0,.2132

0,.125 -3..0790 -2 .1301 -6,.9140 1.375 0.2646 0.1752 0..1917

0,.150 -3 .0155 -2,.1508 -6 .7014 1.400 0.2400 0.1577 0,.1779

0,.175 -2..9481 -2 .1756 -6,.4783 1.425 0.2153 0.1428 0,.1738

0,.200 -2,.8769 -2 .2029 -6 .2502 1.450 0.1916 0.1305 0,.1615

0,.225 -2,.8046 -2 .2325 -6,.0204 1.475 0.1737 0.1189 0,.1467

0,.250 -2,.7310 -2 .2626 -5,.7914 1.500 0.1574 0.1093 0,.1370

0,.275 -2,.6581 -2 .2909 -5,.5647 1.525 0.1415 0.0995 0..1378

0,.300 -2,.5853 -2 .3157 -5,.3420 1.550 0.1272 0.0912 0,.1184

0,.325 -2..5141 -2 .3335 -5..1238 1.575 0.1138 0.0798 0,.1134

0,.350 -2..4438 -2 .3442 -4..9103 1.600 0.1048 0.0733 0..1142

0,,375 -2,.3755 -2,.3446 -4..7018 1.625 0.0934 0.0684 0,.1052

0.,400 -2,.3083 -2,.3368 -4,.4988 1.650 0.0857 0.0619 0,.0838

0,,425 -2,.2434 -2..3191 -4,.3011 1.675 0.0762 0.0560 0,.0901

0,,450 -2,.1798 -2,.2940 -4..1085 1.700 0.0702 0.0508 0,.0779

0,,475 -2,.1184 -2,.2608 -3,.9211 1.725 0.0617 0.0477 0,,0736

0.,500 -2,.0584 -2..2222 -3..7392 1.750 0.0563 0.0455 0,,0716

0,,525 -2,.0005 -2,.1781 -3,.5625 1.775 0.0519 0.0397 0,,0742

0,,550 -1,.9441 -2..1302 -3,.3908 1.800 . 0448 0.0385 0,,0668

0.,575 -1,.8896 -2,.0785 -3,,2240 1.825 0.0433 0.0348 0,,0662

0,,600 -1,.8366 -2..0248 -3,,0624 1.850 0.0398 0.0309 0,,0550

0.,625 -1,.7854 -1 .9690 -2,.9058 1.875 0.0348 0.0295 0,.0515

0.,650 -1,.7357 - \ .9120 -2,,7541 1.900 0.0309 0.0261 0,,0460

0.,675 -1,,6878 -1

.

.8541 -2,,6073 1.925 0.0300 0.0236 0.,0465

0,,700 -1,,6413 - \ .7959 -2,,4655 1.950 0.0269 0.0214 0,,0285

0,,725 -1,,5964 -1 .7379 -2,,3286 1.975 0.0248 0.0191 0,,0423

0.,750 -1,.5530 .

]_ .6800 -2.,1969 2.000 0.0211 0.0171 0,,0455

0.,775 -1.,5112 -

1

.6229 -2,,0701 2.025 0.0199 0.0172 0.,0394

0.,800 -1.,4708 -1 .5667 -1.,9485 2.050 0.0194 0.0170 0,,0393

0.,825 -1,,4319 . 1 .5111 -1,,8305 2.075 0.0155 0.0145 0.,0388

0,,850 -1,,3942 _ \ .4545 -1.,6978 2.100 0.0142 0.0133 0.,0417

0.,875 -1.,3516 -

"]_ .3636 -1.,5149 2.125 0.0131 0.0125 0,,0412

0.,900 -1,,2730 _ 1 .2286 -1.,2362 2.150 0.0127 0.0105 0,,0333

0,,925 -1,,0976 - .9704 ,8822 2.175 0.0101 0.0088 0.,0352

0,,950 _ ,7967 . .6714 _ ,5514 2.200 0.0090 0.0116 0,,0330

0,,975 ,4112 . .3496 ,2684 2.225 0.0075 0.0095 0,,0326

1.,000 _ ,0393 . .0649 . ,0596 2.250 0.0083 0.0080 0,,0397

1,,025 o!,2684 0..1269 o'.,1075 2.275 0.0059 0.0082 0.,0320

1.,050 0,.4800 0,.2721 0.,2111 2.300 0.0042 0.0074 0.,0240

1.,075 0,.5991 0,.3433 0,,2799 2.325 0.0045 0.0070 0.,0186

1.,100 0,.6561 0,,3828 0,,3035 2.350 0.0040 0.0077 0.,0157

1.,125 0,.6592 0,.3866 0,,3145 2.375 0.0035 0.0049 0.,0179

1.,150 0,.6375 0,.3787 0,.3227 2.400 0.0025 0.0047 0.,0258

1,,175 0,.5999 0,.3573 0..2973 2.425 0.0022 0.0036 0,,0190

1.,200 0,.5534 0,.3355 0,.2875 2.450 0.0014 0.0038 0,,0274

1,.225 0..5048 0,.3106 0,.2819 2.475 0.0005 0.0038 0,,0222

1,.250 0..4559 0,.2844 0,.2811 2.500 -.0001 0.0021 0.,0192

359
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

''ii^^'w ' 2.00 p* =-0. 098 ^r 0.0498 ^22/^ir 1.00

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0,,025 -5 .1261 -4.4827 -15 .4720 1 .275 0.5398 0.4080 .4074

0,.050 -5 .1016 -4.4786 -15 .3301 1 .300 0.4220 0.3628 .3768

0,,075 -5 .0628 -4.4858 -15 .1049 1 .325 0.3772 0.3273 .3501

0,,100 -5 .0109 -4.4976 -14 .8120 1 .350 0.4068 0.2928 .3255

0,,125 -4 .9471 -^.5136 -14 .4641 1 .375 0.3064 0.2651 .3046

0,,150 -4,.8728 -4.5325 -14 .0772 1 .400 0.2745 0.2422 .2837

0,,175 -4 .7900 -4.5538 -13 .6619 1 .425 0.2634 0.2224 .2650

0,,200 -4 .6998 -4.5755 -13 .2300 1 .450 0.2214 0.1967 .2473

0,,225 -4 .6042 -4.5967 -12 .7871 1 .475 0.2040 0.1827 .2298

0,,250 -4 .5041 -4.6155 -12 .3393 1 .500 0.2413 0.1647 .2131

0,,275 -4,.4012 -4.6276 -11,.8889 1 .525 0.2161 0.1509 .1977

0,,300 -4..2958 -4.6324 -11 .4400 1 .550 0.1707 0.1394 .1833

0,,325 -4 .1895 -4.6266 -10,.9951 1 .575 0.1811 0.1236 .1690

0,,350 -4,.0823 -4.6097 -10 .5533 1 .600 0.1783 0.1125 .1563

0,,375 -3,.9752 -4.5764 -10 .1169 1 .625 0.1384 0.1042 .1440

0,,400 -3,.8684 -4.5304 -9 .6860 1 .650 0.1014 0.0949 .1326

0,,425 -3,.7625 -4.4701 -9 .2620 1 .675 0.1410 0.0886 .1221

0,,450 -3,.6575 -4.3981 -8,.8448 1 .700 0.1269 0.0780 .1145

0,,475 -3 .5539 -4.3117 -8,,4344 1 .725 0.0670 0.0729 .1075

0,,500 -3,.4516 -4.2163 -8,,0322 1,.750 0.1165 0.0695 .1020

0,,525 -3,,3510 -4.1119 -7,,6379 1,.775 0.0871 0.0619 .0965

0,,550 -3,,2520 -4.0010 -7,,2519 1,,800 0.0796 0.0558 .0926

0,,575 -3,.1548 -3.8828 -6,,8742 1,,825 0.0903 0.0482 .0893

0,,600 -3,.0594 -3.7608 -6,,5060 1,,850 0.0728 0.0462 0,.0843

0,,625 -2,,9659 -3.6356 -6,,1470 1,,875 0.0648 0.0388 0,,0800

0,,650 -2.,8743 -3.5082 -5,,7977 1,.900 0.0708 0.0370 0,,0755

0,,675 -2,.7847 -3.3787 -5.,4579 1.,925 0.1045 0.0355 0,,0703

0,,700 -2,,6971 -3.2488 -5,,1287 1,,950 0.0610 0.0344 0,,0656

0.,725 -2,,6115 -3.1193 -4,,8099 1.,975 0.0485 0.0303 0,.0607

0,,750 -2,,5279 -2.9902 -4,,5019 2,,000 0.0052 0.0281 0,.0564

0,,775 -2,,4464 -2.8622 -4,,2043 2,,025 0.0267 0.0286 0,.0517

0,,800 -2,,3670 -2.7360 -3,,9182 2,,050 0.0524 0.0235 0,.0468

0,,825 -2,,2897 -2.6120 -3,,6435 2,,075 0.0258 0.0261 0,.0428

0,,850 -2,,2126 -2.4900 -3,,3795 2,,100 0.0383 0.0239 0,.0385

0.,875 -2,,1319 -2.3501 -3,,1130 2,,125 0.0609 0.0224 0,.0346

0,,900 -2,,0017 -2.1746 -2,,7846 2.,150 0.0236 0.0222 0,.0319

0.,925 -1.,6926 -1.8175 -2,.2970 2,,175 0.0300 0.0195 0,.0287

0..950 -1,,2610 -1.3435 -1,,6366 2.,200 0.0376 0.0184 0,.0259

0,.975 ,5873 -.7563 . .9170 2,.225 0.0061 0.0145 0,.0233

.000 - ,0932 - . 1940 . .2927 2..250 0.0100 0.0138 0,,0218

.025 o!,2956 0.2125 o'..1668 2..275 0.0046 0.0118 0.,0191

.050 0,,4997 0.5070 0.,4470 2,,300 0.0123 0.0113 0.,0184

.075 0.,6988 0.6452 0,.5895 2,,325 -.0067 0.0100 0.,0157

.100 0,,7502 0.7263 0,.6426 2..350 0.0127 0.0061 0.,0134

.125 0,,7965 0.7131 0.,6379 2..375 -.0062 0.0052 0. 0121

.150 0..7640 0.6787 0.,6064 2.,400 -.0070 0.0022 0. 0107

.175 0,,7461 0.6230 0.,5647 2.,425 -.0037 0.0015 0. 0087

.200 0,,6750 0.5659 0.,5201 2. 450 -.0172 0.0012 0. 0078

.225 0..5686 0.5098 0.,4790 2. 475 -.0010 -.0002 0. 0059

.250 0,.4173 0.4549 0, 4407 2. 500 -.0168 0.0054 0. 0048

360
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

^22/^^11 = 2.00 p* =0.102 x^= 0.0999 e 22/^1^ 1.00

R* '11 '12 '22 R*

11 12 '22

0,.025 -5,,1126 -4,,4324 -15,,4170 1,,275 0.,4762 0,,4070 0,,4354

0,.050 -5,.0863 -4,,4263 -15,,2741 1,,300 0,,4482 0,,3679 0,,4055

0,.075 -5,.0474 -4,,4334 -15,,0479 1,,325 0,,4331 0,,3251 0,,3792

0,.100 -4,,9940 -4,,4454 -14,,7530 1,.350 0,,3544 0,.2935 0,,3545

0,,125 -4,,9296 -4,,4619 -14,,4041 1,,375 0,,2914 0,.2665 0,,3325

0..150 -4,.8539 -4,,4814 -14,,0162 1.,400 0,.2831 0,,2403 0,,3107

0..175 -4,,7704 -4,,5034 -13,,5999 1,,425 0,,2582 0,,2212 0,,2914

0,,200 -4,,6789 -4,,5262 -13,,1670 1,.450 0,,2462 0,,2051 0,,2730

0,,225 -4,,5828 -4,,5485 -12.,7231 1,.475 0,,1631 0,,1853 0,,2545

0,,250 -4,,4817 -4,,5685 -12,,2753 1,.500 0,,1831 0,,1696 0,,2381

0,,275 -4.,3783 -4.,5821 -11,,8249 1,.525 0,,1526 0,,1548 0,,2233

0,,300 -4,,2722 -4,,5885 -11,,3760 1..550 0,.1432 0.,1417 0,,2070

0,,325 -4.,1655 -4,,5842 -10,,9301 1..575 0,.1583 0,,1279 0,,1938

0,,350 -4,,0577 -4,,5691 -10,,4893 1..600 0,,1325 0,,1219 0,,1782

0,,375 -3,,9505 -4.,5373 -10,,0529 1..625 0,,1092 0,,1100 0,,1662

0,,400 -3,,8433 -4,,4928 -9,,6228 1..650 0,,1034 0,,1019 0,,1547

0,.425 -3,,7374 -4.,4339 -9,,1992 1..675 0,.0772 0,,0930 0,,1445

0,,450 -3.,6322 -4,.3630 -8,,7826 1..700 0,.0691 0,,0835 0,,1353

0,,475 -3.,5287 -4,,2777 -8,,3729 1..725 0,,0666 0,,0763 0,,1279

0,,500 -3.,4265 -4,,1834 -7,,9713 1..750 0,.0711 0,.0717 0,,1213

0,,525 -3,,3261 -4,,0801 -7,,5778 1..775 0..0508 0,.0641 0,,1157

0,,550 -3,,2274 -3.,9702 -7,,1927 1..800 0,.0727 0,.0584 0,,1101

0,,575 -3.,1305 -3.,8529 -6,.8159 1..825 0,.0724 0,.0523 0,,1054

0.,600 -3,,0355 -3,,7318 -6,,4485 1..850 0,.0366 0,.0460 0,,0992

0,,625 -2,,9424 -3.,6075 -6,,0904 1..875 0,.0576 0,.0439 0,,0939

0.,650 -2,,8513 -3.,4809 -5,,7420 1..900 0,.0579 0,,0376 0,,0897

0,,675 -2,,7622 -3,,3523 -5,,4032 1,.925 0,,0573 0,,0366 0,,0839

0,,700 -2,,6752 -3,,2233 -5,,0749 1..950 0,,0514 0..0339 0,,0775

0.,725 -2.,5900 -3.,0945 -4,,7571 1,.975 0,,0362 0,.0339 0,,0732

0,,750 -2,,5072 -2,,9663 -4,,4499 2..000 0,,0307 0,,0324 0,,0683

0,,775 -2,,4261 -2.,8391 -4,,1532 2..025 0,,0366 0.,0293 0,,0623

0,,800 -2,,3475 -2,,7136 -3,,8680 2..050 0,,0232 0.,0266 0,,0572

0,,825 -2,,2707 -2,,5904 -3,,5941 2,.075 0,,0371 0,,0273 0,,0524

0.,850 -2,,1955 -2.,4691 -3,,3309 2..100 0,,0385 0,,0268 0.,0483

0,,875 -2,,1110 -2,,3306 -3,,0654 2..125 0,,0408 0,,0253 0,,0433

0.,900 -1,,9698 -2,,1563 -2,,7391 2..150 0,,0163 0,,0245 0,,0401

0,,925 -1,,6814 -1.,7993 -2,,2549 2,.175 0,,0382 0,,0227 0,,0365

0,,950 -1,,2124 -1,,3281 -1,,6009 2..200 0,,0146 0,,0188 0.,0329

0,,975 ,6431 ,7399 - ,8877 2..225 0,,0110 0,,0172 0,,0297

,000 . ,1020 . ,1807 _ ,2636 2..250 0,,0156 0,,0161 0,,0265

,025 0.,3532 0.,2176 0!,1884 2..275 - ,0108 0,,0138 0,,0243

,050 0,,7149 0,,5196 0,,4734 2.,300 0!,0253 0,,0130 0,,0223

,075 0,,8549 0,,6471 0,,6150 2.,325 0,,0005 0,,0107 0,,0191

,100 0,,8960 0,,7136 0,,6688 2.,350 . ,0115 0,,0118 0,,0172

,125 0,.8117 0,,7111 0,,6647 2.,375 0!,0142 0,,0098 0,,0157

.150 0,.8592 0,.6864 0,.6360 2.,400 0,,0230 0,,0077 0,,0139

.175 0,.7574 .6310 0,.5937 2.,425 0,,0128 0,,0069 0,,0124

.200 0,.7351 0,.5745 0,.5516 2.,450 0,,0165 0,,0078 0,,0108

.225 .6671 0,.5075 ,5084 2.,475 0,,0132 0,,0056 0,,0084

.250 .5452 0,.4550 0,.4699 2.,500 0,.0134 0,,0049 0,.0066

361-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

^22/^^11 = 2.00 p* =0. 117 X = 0.25(DO ^22/^ir l.(30

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0,,025 -5,.1426 -4.4052 -15,.5940 1 .275 0.4221 .4304 .5054

0,,050 -5..1153 -4.3998 -15,.4461 1 .300 0.3940 .3858 .4748

0,,075 -5,.0745 -4.4071 -15,.2099 1 .325 0.3526 .3486 .4495

0,,100 -5,.0181 -4.4190 -14,.9040 1 .350 0.2848 .3158 .4245

0,,125 -4..9506 -4.4353 -14 .5431 1 .375 0.2532 .2897 .3998

0,,150 -4,.8712 -4.4548 -14,.1432 1 .400 0.2480 .2626 .3801

0,,175 -4,.7843 -4.4770 -13,.7159 1 .425 0.2239 .2421 .3598

0.,200 -4,.6894 -4.5004 -13,.2720 1 .450 0.2001 .2227 .3390

0,,225 -4..5902 -4.5235 -12,.8181 1 .475 0.1744 .2061 .3189

0,,250 -4,.4863 -4.5449 -12 .3593 1,.500 0.1549 .1894 .3030

0,,275 -4..3804 -4.5603 -11,.8989 1,.525 0.1373 .1718 .2871

0,.300 -4..2721 -4.5686 -11,.4410 1 .550 0.1214 0,.1591 .2713

0.,325 -4..1634 -4.5663 -10,.9871 1,.575 0.1177 .1479 0,.2576

0,,350 -4..0540 -4.5528 -10,.5373 1 .600 0.1101 0,.1385 .2441

0,,375 -3..9450 -4.5223 -10,.0919 1 .625 0.0985 .1266 0,.2289

0,,400 -3,.8366 -4.4787 -9,.6541 1 .650 0.1027 0,.1185 .2165

0,,425 -3,.7292 -4.4200 -9,.2229 1 .675 0.0645 0,.1094 0,.2033

0,,450 -3,.6230 -4.3490 -8,.7990 1 .700 0.0670 0,.1021 0,.1909

0,,475 -3,.5181 -4.2634 -8,.3823 1 .725 0.0614 0,.0935 0,.1821

0,,500 -3..4150 -4.1683 -7,.9740 1 .750 0.0653 0,.0874 0,.1729

0,,525 -3,.3134 -4.0639 -7,.5741 1,.775 0.0628 0,.0782 .1639

0,,550 -3,.2138 -3.9528 -7..1828 1,.800 0.0519 .0729 0,.1584

0,,575 -3..1158 -3.8342 -6,.8000 1,.825 0.0521 0,.0666 0,.1486

0,,600 -3,.0201 -3.7117 -6,.4269 1,.850 0.0532 0,.0613 0..1402

0,,625 -2,.9260 -3.5859 -6,.0632 1,.875 0.0344 0,.0565 0..1332

0.,650 -2,.8342 -3.4578 -5,.7093 1..900 0.0529 0,.0512 0,.1252

0,,675 -2,,7441 -3.3277 -5.,3651 1,.925 0.0401 0..0468 0..1184

0,,700 -2,.6566 -3.1972 -5,.0315 1,.950 0.0314 0..0436 0,.1113

0.,725 -2.,5706 -3.0670 -4,.7086 1,.975 0.0285 0,.0402 0..1034

0.,750 -2,,4873 -2.9374 -4,.3964 2,.000 0.0309 0,.0396 0..0957

0,,775 -2,,4055 -2.8090 -4,,0950 2,.025 0.0332 0,.0383 0,.0912

0,,800 -2,.3265 -2.6823 -3,,8052 2,.050 0.0371 0,.0358 0,.0845

0,,825 -2,,2490 -2.5580 -3.,5271 2..075 0.0373 0,.0359 0.,0768

0.,850 -2,,1739 -2.4355 -3.,2600 2,.100 0.0283 0,.0345 0,,0704

0.,875 -2,,0905 -2.2967 -2.,9914 2,.125 0.0203 0.,0322 0,,0637

0,,900 -1,,9526 -2.1227 -2,,6629 2,.150 0.0286 0..0284 0,,0575

0,,925 -1..6742 -1.7702 -2,,1815 2,,175 0.0209 0.,0279 0,,0560

0,,950 -1.,1979 -1.3040 -1.,5365 2,,200 0.0129 0,,0239 0,,0501

0,,975 ,6578 -.7280 ,8298 2,.225 0.0129 0,,0247 0.,0461

1,,000 - ,1052 -.1779 . ,2191 2,.250 0.0259 0,,0232 0.,0420

1.,025 o'.,2944 0.2240 o:,2288 2,,275 0.0180 0.,0197 0,,0383

1,,050 0,,6209 0.5267 0.,5169 2,,300 0.0133 0.,0162 0.,0338

1,,075 0,.7474 0.6574 0.,6577 2.,325 0.0204 0.,0165 0.,0306

1,,100 0.,8498 0.7264 0.,7164 2.,350 0.0143 0.,0151 0. 0274

1,,125 0,,8164 0.7225 0.,7171 2,,375 0.0023 0. 0122 0.,0224

1.,150 0,,7551 0.6874 0.,6929 2.,400 0.0045 0. 0090 0. 0203

1,,175 0,,6587 0.6349 0.,6565 2.,425 0.0116 0. 0078 0. 0176

1,,200 0,,6244 0.5833 0,,6134 2,,450 0.0044 0. 0076 0. 0157

1,,225 0,,5465 0.5282 0.,5754 2.,475 0.0042 0. 0089 0. 0127

1,,250 0,,4828 0.4718 0.,5378 2.,500 0.0055 0. 0086 0. 0097

-362-
a

,

ii^^'w = 2.00 p* =0. 153 ^r 0.5000 'll^'\\ 1.00

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0,.025 -5 .0270 -4.0743 -15 .1140 1.275 0.4620 0.4176 0,.5015

0,.050 -4 .9989 -4.0729 -14,.9591 1.300 0.4069 0.3757 0..4706

0,.075 -4 .9542 -4.0823 -14,.7149 1.325 0.3538 0.3383 0..4384

0,.100 -4 .8940 -4.0964 -14 .4000 1.350 0.3224 0.3043 .4198

0,.125 -4,.8213 -4.1152 -14,.0311 1.375 0.2751 0.2765 0..3915

0,.150 -4,.7376 -4.1376 -13,.6252 1.400 0.2553 0.2520 0..3708

0,,175 -4,.6460 -4.1639 -13,.1949 1.425 0.2153 0.2314 0..3468

0..200 -4,.5473 -4.1921 -12..7500 1.450 0.1975 0.2122 0,.3278

0..225 -4,.4444 -4.2211 -12,.2971 1.475 0.1750 0.1941 0..3089

0,.250 -4,.3376 -4.2493 -11,.8423 1.500 0.1645 0.1767 0..2921

0,.275 -4,.2292 -4.2729 -11,.3879 1.525 0.1423 0.1653 0.,2742

0,.300 -4,.1190 -4.2903 -10.,9360 1.550 0.1310 0.1501 0..2564

0,.325 -4,.0091 -4.2972 -10..4901 1.575 0.1076 0.1383 0..2449

0,.350 -3,.8985 -4.2930 -10..0493 1.600 0.0990 0.1289 0..2278

0,.375 -3,.7895 -4.2720 -9..6151 1.625 0.0902 0.1180 0..2191

0..400 -3..6807 -4.2374 -9..1885 1.650 0.0780 0.1094 0,.2058

0,.425 -3..5740 -4.1869 -8..7696 1.675 0.0767 0.1009 0..1928

0,.450 -3..4681 -4.1237 -8 .3587 1.700 0.0651 0.0935 0..1819

0,.475 -3,.3647 -4.0456 -7..9558 1.725 0.0661 0.0886 0.,1697

0,.500 -3 .2624 -3.9578 -7 .5618 1.750 0.0564 0.0837 0..1636

0..525 -3,.1627 -3.8602 -7..1766 1.775 0.0469 0.0765 0.,1542

0,.550 -3,.0645 -3.7557 -6..8003 1.800 0.0366 0.0703 0.,1473

0,.575 -2,.9688 -3.6437 -6..4328 1.825 0.0417 0.0649 0.,1402

0.,600 -2,.8748 -3.5277 -6,.0751 1.850 0.0370 0.0618 0.,1327

0,.625 -2,.7834 -3.4080 -5,.7270 1.875 0.0377 0.0560 0,,1250

0,.650 -2,.6938 -3.2862 -5..3886 1.900 0.0357 0.0526 0.,1190

0,.675 -2,.6066 -3.1622 -5..0598 1.925 0.0222 0.0503 0.,1093

0,,700 -2,.5215 -3.0378 -4,.7415 1.950 0.0283 0.0459 0.,1040

0,,725 -2..4387 -2.9135 -4,.4336 1.975 0.0240 0.0426 0.,0983

0,,750 -2,.3580 -2.7899 -4,.1362 2.000 0.0199 0.0398 0.,0902

0.,775 -2,.2796 -2.6672 -3,.8493 2.025 0.0247 0.0368 0.,0863

0,,800 -2,,2035 -2.5464 -3,.5737 2.050 0.0209 0.0341 0,,0808

0,,825 -2,,1295 -2.4280 -3,.3093 2.075 0.0152 0.0345 0,,0724

0,,850 -2,.0573 -2.3116 -3,.0557 2.100 0.0169 0.0330 0.,0658

0,,875 -1,.9782 -2.1793 -2,.8015 2.125 0.0092 0.0307 0.,0602

0,,900 -1,.8506 -2.0134 -2,.4938 2.150 0.0122 0.0287 0.,0581

0,,925 -1,.5827 -1.6796 -2,.0496 2.175 0.0096 0.0273 0.,0510

0,,950 -1,.1405 -1.2343 -1,.4408 2.200 0.0089 0.0250 0,,0465

0,,975 .5996 -.6926 .7899 2.225 0.0121 0.0239 0.,0407

1,,000 _ ,0778 -.1636 . .2135 2.250 0.0107 0.0232 0..0388

1,,025 o!.3287 0.2105 o!.2053 2.275 0.0063 0.0201 0..0345

1,,050 0,.5910 0.5008 0..4795 2.300 0.0030 0.0209 0..0311

1,,075 0,.7499 0.6311 0..6255 2.325 0.0072 0.0176 0..0281

1.,100 0.,7915 0.7020 0..6809 2.350 0.0002 0.0146 0,.0232

1,,125 0,,7861 0.6984 0,,6930 2.375 0.0022 0.0146 0..0190

1,,150 0,,7575 0.6684 0,,6793 2.400 0.0028 0.0132 0..0189

1.,175 0,,7037 0.6194 0.,6425 2.425 0.0021 0.0123 0..0178

1.,200 0,.6324 0.5663 0,,6043 2.450 0.0006 0.0131 0.,0157

1,,225 0..5762 0.5173 0,,5699 2.475 0.0055 0.0112 0,,0126

1,,250 0,.5110 0.4640 0,,5338 2.500 . 0048 0.0100 0,,0113

363-
""ll^^W

= 2.00 p* =0. 218 ^r 0.7500 ^22/^ir 1.00

R* *^11 "12 "22 R* "11 "12 "22

0.025 -4. 6827 -3.4731 -13.,6460 1.275 0.4436 0.4085 .4621

0.050 -4. 6538 -3.4770 -13,,4911 1.300 0.3941 0.3650 .4306

0.075 -4. 6053 -3.4879 -13.,2479 1.325 0.3487 0.3346 .3998

0.100 -4.,5424 -3.5032 -12.,9370 1.350 0.3180 0.2998 .3725

0.125 -4. 4656 -3.5234 -12.,5771 1.375 0.2828 0.2726 .3467

0.150 -4.,3796 -3.5476 -12,,1842 1.400 0.2553 0.2459 .3253

0.175 -4.,2852 -3.5766 -11,,7719 1.425 0.2304 0.2242 .3072

0.200 -4.,1859 -3.6084 -11,,3490 1.450 0.2052 0.2044 .2847

0.225 -4.,0826 -3.6428 -10,,9221 1.475 0.1919 0.1851 .2639

0.250 -3..9771 -3.6777 -10,,4963 1.500 0.1691 0.1690 .2504

0.275 -3.,8705 -3.7102 -10,,0729 1.525 0.1496 0.1550 .2332

0.300 -3,,7636 -3.7377 -9,,6557 1.550 0.1398 0.1414 .2170

0.325 -3,,6573 -3.7560 -9,,2449 1.575 0.1217 0.1327 .2069

0.350 -3.,5516 -3.7638 -8.,8418 1.600 0.1102 0.1207 .1957

0.375 -3,,4476 -3.7555 -8,,4464 1.625 0.1040 0.1110 0,.1833

0.400 -3,,3447 -3.7339 -8.,0599 1.650 0.0915 0.1046 .1732

0.425 -3,,2440 -3.6962 -7,,6823 1.675 0.0828 0.0981 .1618

0.450 -3,,1447 -3.6459 -7,,3135 1.700 0.0759 0.0902 .1514

0.475 -3,,0479 -3.5811 -6,,9532 1.725 0.0697 0.0817 .1380

0.500 -2,.9526 -3.5068 -6,,6022 1.750 0.0630 0.0743 0,.1339

0.525 -2,,8600 -3.4226 -6,,2602 1.775 0.0584 0.0700 0,,1273

0.550 -2,,7690 -3.3317 -5.,9271 1.800 0.0570 0.0674 0,,1149

0.575 -2,.6807 -3.2338 -5.,6026 1.825 0.0489 0.0620 0,,1086

0.600 -2,,5941 -3.1318 -5,,2876 1.850 0.0475 0.0590 0,,0993

0.625 -2..5103 -3.0262 -4..9816 1.875 0.0413 0.0545 0,,0942

0.650 -2,.4280 -2.9185 -4,,6848 1.900 0.0366 0.0529 0,,0843

0.675 -2,.3485 -2.8088 -4..3966 1.925 0.0346 0.0479 0,,0781

0.700 -2,.2707 -2.6987 -4..1181 1.950 0.0340 0.0460 0,,0765

0.725 -2,.1957 -2.5885 -3,.8488 1.975 0.0295 0.0423 0,,0676

0.750 -2 .1223 -2.4790 -3..5890 2.000 0.0281 0.0403 0,,0618

0.775 -2 .0517 -2.3705 -3,.3384 2.025 0.0263 0.0365 0,,0568

0.800 -1,.9827 -2.2636 -3,.0980 2.050 0.0200 0.0342 0.,0537

0.825 -1 .9165 -2.1589 -2,.8677 2.075 0.0202 0.0300 0.,0491

0.850 -1 .8514 -2.0563 -2,.6469 2.100 0.0188 0.0261 0,,0431

0.875 -1 .7813 -1.9397 -2,,4260 2.125 0.0173 0.0275 0,,0403

0.900 -1 .6638 -1.7940 -2,.1637 2.150 0.0149 0.0272 0.,0378

0.925 -1 .4272 -1.4983 -1,.7852 2.175 0.0150 0.0243 0,,0372

0.950 -1 .0354 -1.1093 -1 .2792 2.200 0.0143 0.0221 0,,0336

0.975 - .5461 -.6175 .7198 2.225 0.0080 0.0202 0.,0305

1.000 - .0745 -.1472 . .2272 2.250 0.0103 0.0191 0.,0268

1.025 .3005 0.1970 .1334 2.275 0.0098 0.0183 0.,0233

1.050 .5560 0.4530 .3849 2.300 0.0089 0.0165 0,,0187

1.075 .7013 0.5825 .5234 2.325 0.0070 0.0150 0,,0177

1.100 .7427 0.6529 .5937 2.350 0.0064 0.0151 0.,0146

1.125 .7553 0.6515 .6075 2.375 0.0081 0.0133 0. 0142

1.150 .7164 0.6292 .5991 2.400 0.0071 0.0117 0. 0123

1.175 .6694 0.5890 .5781 2.425 0.0033 0.0112 0. 0113

1.200 .6073 0.5418 .5472 2.450 0.0016 0.0110 0. 0120

1.225 .5565 0.4946 .5139 2.475 0.0027 0.0081 0. 0097

1.250 .4986 0.4487 .4895 2.500 0.0032 0.0076 0.,0077

364
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

a /a - 2.00 p* =0.280 x = 0.9001 e 22/'lll-""

R* '11 '12 '22 R* '11 '12 '22

.025 -4 .0262 -2 .6946 -11,.0140 1 .275 0.4190 .3912 .4037

.050 -3 .9981 -2 .6995 -10 .8721 1 .300 0.3736 .3509 0,.3744

0,.075 -3 .9528 -2 .7104 -10,.6509 1,.325 0.3351 .3187 0,.3482

0,.100 -3 .8933 -2 .7255 -10,.3700 1,.350 0.3009 .2904 0,,3188

0,.125 -3 .8220 -2 .7456 -10,.0491 1,.375 0.2698 .2627 0,,2942

0,.150 -3 .7421 -2 .7700 -9,,7016 1 .400 0.2401 .2346 0,,2738

0..175 -3 .6556 -2,.7994 -9 .3399 1,.425 0.2176 .2166 0,,2450

0,,200 -3 .5652 -2.,8326 -8,,9729 1,.450 0.1956 0,.1933 0,,2287

0,,225 -3 .4720 -2,.8693 -8,.6057 1,.475 0.1774 .1764 0,,2130

0,,250 -3 .3778 -2,.9077 -8..2421 1,.500 0.1606 .1584 0,,2018

0,,275 -3 .2831 -2,.9454 -7,,8841 1,.525 0.1448 0,.1452 0,,1908

0,,300 -3 .1892 -2,.9797 -7,,5340 1,.550 0.1336 .1305 0,,1745

0,,325 -3 .0961 -3,,0065 -7.,1921 1,.575 0.1218 .1203 0,,1548

0,,350 -3 .0047 -3,.0244 -6,,8591 1,.600 0.1079 0,.1107 0,,1453

0,,375 -2 .9147 -3.,0283 -6,,5349 1,.625 0.0971 0..1000 0,,1297

0,,400 -2,.8268 -3.,0202 -6,,2202 1.,650 0.0877 0.,0925 0.,1221

0..425 -2 .7408 -2,,9974 -5,,9148 1.,675 0.0811 0.,0842 0,,1124

0.,450 -2..6569 -2,,9632 -5,,6185 1,,700 0.0727 0,,0792 0,,1088

0.,475 -2..5750 -2,,9162 -5,,3307 1.,725 0.0669 0,,0720 0,,1002

0.,500 -2..4953 -2,,8606 -5,,0521 1,,750 0.0618 0,,0657 0.,0947

0,,525 -2 .4177 -2,,7961 -4.,7820 1.,775 0.0549 0,,0614 0,,0855

0.,550 -2,.3422 -2,,7256 -4,,5204 1,,800 0.0507 0,,0532 0,,0857

0.,575 -2,,2687 -2,,6490 -4,,2666 1.,825 0.0458 0,,0499 0.,0745

0.,600 -2.,1974 -2.,5690 -4,,0214 1,,850 0.0430 0.,0453 0,,0675

0,,625 -2.,1281 -2,,4856 -3,,7843 1,,875 0.0396 0.,0420 0,,0647

0.,650 -2,,0608 -2.,4005 -3,,5551 1,,900 0.0362 0.,0392 0,,0549

0,,675 -1.,9955 -2.,3137 -3,,3337 1,,925 0.0332 0,,0361 0,,0524

0..700 -1.,9322 -2.,2264 -3,,1206 1,,950 0.0303 0,,0330 0,,0474

0..725 -1,,8709 -2.,1392 -2,,9154 1,,975 0.0275 0,,0311 0,,0423

0..750 -1,,8114 -2,,0525 -2,,7180 2,,000 0.0263 0,,0271 0,,0402

0..775 -1,,7541 -1,,9666 -2.,5284 2.,025 0.0235 0,,0247 0,,0370

0.,800 -1,,6985 -1.,8821 -2.,3472 2.,050 0.0219 0.,0232 0,,0336

0..825 -1,,6450 -1,,7995 -2.,1742 2.,075 0.0189 0,,0214 0.,0317

0..850 -1,,5929 -1,,7184 -2.,0090 2,,100 0.0163 0,,0216 0,,0266

0.,875 -1,,5360 -1.,6261 -1.,8445 2,,125 0.0163 0,,0183 0,,0244

0.,900 -1,,4388 -1.,5090 -1,,6523 2.,150 0.0143 0,,0164 0,,0332

0..925 -1,,2352 -1.,2623 -1.,3698 2.,175 0.0132 0,,0148 0,,0259

0..950 ,8953 ,9323 ,9927 2,,200 0.0106 0,,0150 0.,0208

0..975 . ,4732 _ ,5111 _ ,5680 2,,225 0.0105 0.,0135 0,,0192

1..000 . ,0593 _ ,1062 _ ,1790 2.,250 0.0097 0,,0108 0.,0185

1,.025 o!,2767 o'.,1997 o!,1304 2,,275 0.0080 0,,0111 0.,0180

1..050 0,,5061 0.,4324 0,,3262 2.,300 0.0077 0,,0099 0,,0180

1,.075 0,,6317 0,,5469 0,,4554 2.,325 0.0072 0.,0082 0,,0143

1,.100 0,,6888 0,,6091 0,,5119 2.,350 0.0056 0.,0079 0,,0117

1,.125 0,,6933 0,,6097 0,,5434 2,,375 0.0051 0,,0083 0.,0139

1..150 0,,6627 0.,5916 0,,5315 2,,400 0.0033 0,,0073 0,,0105

1,.175 0,.6208 0,,5577 0,,5127 2.,425 0.0033 0.,0049 0,,0107

1,,200 0,.5666 0,,5164 0,,4915 2,,450 0.0025 0,,0034 0,,0119

1.,225 0,.5148 0,,4731 0,,4626 2,,475 0.0022 0,,0032 0,,0134

1.,250 0,.4659 0,.4288 0.,4373 2.,500 0.0032 0,.0018 0,,0112

365
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

'^22/''ll = 2.00 p* =0. 298 ^r 0.9502 ^22/^1= 1.00

R* ^11 ^12 "22 R* "11 "12 "22

0.025 -3,.6006 -2.3012 -9,.4464 1.275 0.4063 0.3784 0.,3826

0.050 -3,,5749 -2.3070 -9,,3177 1.300 0.3658 0.3394 0.,3359

0.075 -3,,5333 -2.3177 -9.,1182 1.325 0.3280 0.3092 0. 3087

0.100 -3,,4792 -2.3323 -8,,8657 1.350 0.2915 0.2769 0.,2885

0.125 -3,,4142 -2.3518 -8.,5769 1.375 0.2646 0.2533 0.,2704

0.150 -3,,3418 -2.3752 -8,,2660 1.400 0.2368 0.2288 0.,2399

0.175 -3,,2636 -2.4036 -7.,9432 1.425 0.2134 0.2051 0,,2209

0.200 -3,,1822 -2.4356 -7,,6170 1.450 0.1918 0.1840 0.,2036

0.225 -3,,0984 -2.4712 -7,,2919 1.475 0.1736 0.1692 0.,1880

0.250 -3,.0141 -2.5088 -6,,9714 1.500 0.1572 0.1515 0.,1633

0.275 -2,.9296 -2.5462 -6,,6571 1.525 0.1415 0.1378 0,,1581

0.300 -2,.8460 -2.5809 -6,,3511 1.550 0.1285 0.1269 0,,1380

0.325 -2,.7634 -2.6090 -6,,0538 1.575 0.1153 0.1146 0,,1332

0.350 -2,.6825 -2.6293 -5,,7653 1.600 0.1046 0.1059 0.,1151

0.375 -2,.6031 -2.6371 -5,,4856 1.625 0.0947 0.0964 0,,0987

0.400 -2..5257 -2.6341 -5,,2153 1.650 0.0874 0.0879 0,,0950

0.425 -2..4502 -2.6178 -4,,9539 1.675 0.0790 0.0799 0,,0890

0.450 -2,.3767 -2.5913 -4.,7011 1.700 0.0711 0.0731 0,,0814

0.475 -2,.3052 •2.5533 -4.,4566 1.725 0.0651 0.0661 0.,0677

0.500 -2,.2357 -2.5076 -4,,2206 1.750 0.0600 0.0624 0,,0607

0.525 -2,.1682 -2.4538 '3,,9925 1.775 0.0535 0.0574 0.,0580

0.550 -2,.1027 -2.3946 -3,,7722 1.800 0.0480 0.0541 0,,0489

0.575 -2,.0392 -2.3302 -3,,5593 1.825 0.0450 0.0486 0,,0450

0.600 -1,.9775 -2.2627 -3,,3540 1.850 0.0407 0.0457 0,,0523

0.625 -1,.9177 -2.1922 -3,,1560 1.875 0.0368 0.0414 0,,0386

0.650 -1,.8598 -2.1200 -2,,9650 1.900 0.0339 0.0362 0,,0326

0.675 -1,.8037 -2.0466 -2,.7809 1.925 0.0312 0.0344 0,,0327

0.700 -1,.7494 -1.9728 -2,.6039 1.950 0.0285 0.0318 0.,0302

0.725 -1 .6969 -1.8990 -2,.4338 1.975 0.0257 0.0279 0,,0329

0.750 -1 .6461 -1.8256 -2,.2707 2.000 0.0229 0.0250 0,,0248

0.775 -1 .5970 -1.7531 -2,.1143 2.025 0.0211 0.0237 0,,0314

0.800 -1 .5497 -1.6818 -1,.9650 2.050 0.0193 0.0211 0,.0275

0.825 -1,.5041 -1.6121 -1..8227 2.075 0.0179 0.0182 0,.0338

0.850 -1 .4598 -1.5437 -1,.6873 2.100 0.0155 0.0160 0,,0317

0.875 -1 .4109 -1.4648 -1..5523 2.125 0.0142 0.0162 0,,0315

0.900 -1 .3247 -1.3632 -1,.3933 2.150 0.0135 0.0148 0,.0239

0.925 -1 .1402 -1.1425 -1,,1682 2.175 0.0120 0.0143 0,.0224

0.950 - .8273 -.8470 .8383 2.200 0.0095 0.0100 0,,0150

0.975 - .4347 -.4567 .4754 2.225 0.0092 0.0103 0,,0145

1.000 - .0464 -.0808 . .1502 2.250 0.0074 0.0100 0.,0076

1.025 .2650 0.2001 o[.1300 2.275 0.0068 0.0080 0,,0143

1.050 .4795 0.4131 .3022 2.300 0.0059 0.0068 0,,0077

1.075 .6044 0.5226 0,.4202 2.325 0.0057 0.0059 0,,0089

1.100 .6551 0.5809 .4898 2.350 0.0046 0.0066 0.,0083

1.125 .6590 0.5846 .5115 2.375 0.0029 0.0039 0,,0044

1.150 .6339 0.5707 .5023 2.400 0.0028 0.0039 0,,0081

1.175 .5959 0.5364 .4883 2.425 0.0022 0.0006 0,,0043

1.200 .5499 0.4980 .4533 2.450 0.0012 -.0004 0,,0073

1.225 .4997 0.4549 .4248 2.475 0.0011 0.0025 0,,0000

1.250 .4504 0.4162 .3842 2.500 0.0009 0.0010 0,.0050

-366
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

(J^l^^W = 2.00 p* =0.105 X = 0.0498 ^22/^1= 1.50

R*

11 '12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

.150

,175

,200

,225

,250

6.6549

6.6144

•6.5525

•6.4754

6.3786

,2690

,1454

0133

,8725

,7270

,5768

,4249

2710

1174

4.9635

4.8114

4.6601

4.5113

4.3640

4.2198

4.0774

3.9384

,8014

,6680

,5368

,4092

,2839

,1624

3.0432

2.9278

,8148

,7056

,5990

,4929

,3850

,1926

,8652

•1.4207

-.7579

-.1435

0.3213

0.6028

0.8552

0.8241

0.8298

0.7909

0.7172

0.6321

0.4311

0.4927

7364

6929

6929

7039

7235

7487

7790

8120

8466

8802

5.9076

5.9268

9329

,9244

,8924

,8417

,7688

,6774

5631

,4342

2905

1360

9696

7969

•4.6186

•4.4365

•4.2509

•4.0645

8782

6924

5081

3263

1479

•2.9725

•2.7923

•2.5923

•2.2245

•1.7141

•1.0152

-.3110

0.2296

0.6359

0.8116

0.9066

0.8915

0.8514

0.7801

0.6990

0.6300

0.5591

•23.0610

22.8272

•22.4589

•21.9800

•21.4192

•20.7984

•20.1398

19.4570

18.7632

•18.0634

•17.3638

16.6680

•15.9792

15.2964

14.6218

13.9580

13.3042

12.6604

12.0278

11.4080

10.8012

10.2073

-9.6261

-9.0606

-8.5102

-7.9755

-7.4564

-6.9544

-6.4693

-6.0015

-5.5506

-5.1178

-4.7028

-4.3060

-3.9257

-3.5433

-3.0707

-2.3870

-1.5023

-.6016

0.1312

0.6155

0.8722

0.9716

0.9743

0.9290

0.8646

0.7988

0.7364

0.6836

275

300

325

350

375

400

1.425

.450

.475

.500

,525

.550

1.575

1.600

1.625

650

675

700

725

750

775

800

1.825

850

875

900

925

950

1.975

2.000

2.025

2.050

2.075

100

125

150

175

200

225

250

275

300

325

350

375

2.400

2.425

2.450

2.475

2.500

0.3746

0.3714

0.3175

0.2221

0.1950

0.2265

0.1947

0.1862

0.1529

0.1394

0.1690

0.1328

0.1111

0.0708

0.1409

0.0584

0.0592

0.0522

0.0489

0.0988

0.0614

0.0250

0.0515

0.0581

0.0553

0.0253

0.0589

0.0681

0.0373

0.0241

0.0152

0.0303

0.0034

0.0239

0.0001

0.0223

0.0101

0.0107

0.0024

0.0336

0.0243

0.0158

0.0130

0.0367

-.0046

0.0045

0.0205

0.0201

0.0236

0.0215

0.4995

0.4446

0.4002

0.3626

0.3267

0.2975

0.2727

0.2491

0.2302

0.2129

0.1947

0.1787

0.1647

0.1517

0.1372

0.1256

0.1148

0.1033

0.0943

0.0858

0.0774

0.0694

0.0650

0.0611

0.0584

0.0531

0.0495

0.0477

0.0481

0.0465

0.0439

0.0384

0.0408

0.0406

0.0367

0.0331

0.0331

0.0301

0.0265

0.0250

0.0236

0.0200

0.0147

0.0128

0.0104

0.0092

0.0057

0.0039

0.0019

0.0020

0.6352

0.5926

0.5557

0.5219

0.4907

0.4607

0.4317

0.4042

0.3777

0.3511

0.3261

0.3016

0.2780

0.2558

0.2358

0.2183

0.2024

0.1890

0.1791

0.1716

0.1647

0.1597

0.1541

0.1487

0.1421

0.1348

0.1265

0.1159

0.1064

0.0965

0.0870

0.0781

0.0693

0.0624

0.0555

0.0509

0.0464

0.0422

0.0397

0.0364

0.0336

0.0302

0.0275

0.0248

0.0216

0.0188

0.0156

0.0130

0.0099

0.0077

367-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

Or^^/o^^ = 2.00 p* =0.110 x^= 0.0999 ^22/^11' 1.50

R* '11 '12 '22 R* '11 '12 '22

0.,025 -6,,6323 -5,.7024

0,,050 -6,,5962 -5,.6824

0,,075 -6,,5350 -5,.6882

0,,100 -6,,4591 -5,.7020

0.,125 -6,.3622 -5,,7228

0,,150 -6,.2535 -5,.7485

0,,175 -6,.1299 -5,.7790

0,,200 -5,.9987 -5,.8121

0,,225 -5,.8579 -5,.8465

0,,250 -5,.7134 -5..8801

0,,275 -5,.5634 -5,.9076

0,,300 -5,.4125 -5,.9269

0,,325 -5,.2588 -5,.9330

0,,350 -5,.1064 -5,.9246

0,,375 -4,.9529 -5..8927

0,,400 -4,,8018 -5,,8419

0.,425 -4,.6509 -5..7688

0,,450 -4,.5031 -5,.6772

0,,475 -4,,3563 -5,.5627

0,,500 -4.,2129 -5..4335

0,,525 -4,,0710 -5,.2895

0,,550 -3,,9328 -5,.1346

0,,575 -3,,7962 -4,.9680

0,,600 -3,.6635 -4,.7949

0,,625 -3,.5326 -4,.6163

0,,650 -3,.4056 -4,.4339

0,.675 -3,.2806 -4..2480

0,,700 -3,.1595 -4,.0614

0,.725 -3,.0405 -3,.8748

0,.750 -2,.9255 -3,.6888

0..775 -2,.8127 -3..5043

0,.800 -2,,7039 -3..3223

0,.825 -2,.5974 -3,.1437

0,.850 -2,.4945 -2,.9684

0,.875 -2,.3848 -2,.7877

0,.900 -2,.2144 -2,.5870

0,.925 -1,.8854 -2..2217

0,.950 -1,.3677 -1,.7171

.975 .7445 -1,.0184

.000 - .1656 . .3189

.025 0:.2355 o!.2116

.050 0..5871 0,.6246

.075 0,.6557 .8006

.100 0,.7286 0,.8980

.125 0,.7610 .8832

.150 0,.6990 .8459

.175 0,.6805 .7697

.200 .5584 .6926

.225 .5076 .6259

.250 .4489 .5570

23,.0190 1,,275 0..4225 0..5012 0,,6984

22,,7842 1.,300 0,.3497 0,.4429 0,.6559

22,.4129 1,,325 0,,3057 0,.4016 0,.6184

21,,9310 1,,350 0,,2603 0,.3647 0,.5842

21,,3672 1,,375 0.,2147 0..3307 0,.5525

20,,7454 1,,400 0.,2020 0,.3048 0..5222

20.,0838 1,,425 0,,1970 0,.2796 0..4932

19,,4000 1,,450 0,,1783 0..2557 0..4630

18.,7032 1,,475 0,,1768 0..2353 0,.4357

18.,0034 1.,500 0.,1454 0,.2162 0,.4077

17.,3018 1.,525 0.,1094 0,.1997 0..3805

16,,6060 1.,550 0.,1122 0,.1846 0,.3554

15,,9152 1,,575 0,,0987 0,.1684 0,.3312

15,,2324 1.,600 0,,0844 0,.1535 0..3088

14,,5568 1,,625 0,,0834 0,.1419 0,.2874

13,,8920 1.,650 0.,0987 0..1306 0..2669

13,,2372 1,,675 0.,0785 0..1195 0,.2507

12..5934 1.,700 0.,0674 0..1101 0.,2356

11,.9608 1,,725 0.,0879 0..1014 0..2227

11..3400 1.,750 0.,0444 0..0941 0,.2129

10,.7322 1,,775 0,,0534 0..0868 0,.2034

10..1383 1,,800 0,,0341 0,.0805 0,.1957

-9..5572 1,,825 0,,0387 0..0719 0,,1878

-8..9914 1.,850 0,,0490 0,.0665 0,.1802

-8,.4407 1.,875 0,,0262 0,.0616 0..1719

-7,.9056 1,,900 0.,0100 0,.0576 0.,1635

-7,.3861 1,,925 0,,0249 0..0553 0..1528

-6..8836 1,,950 0,,0116 0,.0508 0..1409

-6,.3980 1.,975 0,,0141 0..0507 0,.1294

-5,.9296 2.,000 0.,0161 0,.0493 0..1186

-5..4780 2.,025 0.,0165 0,.0490 0,.1081

-5,.0446 2.,050 0,,0189 0,.0459 0..0966

-4,.6291 2.,075 0.,0234 0,.0451 0,.0886

-4,.2318 2.,100 0,,0232 0..0442 0..0796

-3,.8511 2.,125 0.,0089 0..0414 0,.0719

-3..4687 2.,150 0,,0141 0..0367 0,.0654

-2,.9975 2,,175 . ,0014 0,.0356 0.,0597

-2,.3165 2.,200 0!,0108 0..0312 0,,0551

-1,.4363 2,,225 . ,0071 0,.0292 0.,0498

- .5410 2,,250 0!,0095 0..0261 0.,0451

0,.1900 2,,275 0,,0154 0,.0237 0.,0414

0,.6710 2,,300 0.,0102 0,,0220 0,,0374

0..9291 2.,325 0.,0156 0,,0181 0,,0333

1,.0291 2,,350 0.,0082 0.,0155 0,,0298

1..0333 2.,375 0,,0040 0.,0150 0,,0255

0,.9899 2,,400 0.,0019 0.,0155 0.,0223

0,.9275 2.,425 0,,0121 0..0121 0,,0185

0,.8628 2,,450 0.,0075 0,.0110 0,,0153

0,.3003 2,,475 0.,0106 0..0100 0,,0121

0,.7459 2,,500 0,,0153 0..0097 0,,0098

368-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

2.00 p* =0.126 X = 0.2500 ^22/^11 ^22/^1= 1.50

R* '11 '12 '22 R* '11 12 '22

0,.025 -6 .6414 -5,.6519 -23 .0910 1 .275 .4470 0,.5248 .8076

0,,050 -6 .6063 -5.,6293 -22 .8492 1 .300 .3744 .4745 .7649

0,,075 -6 .5426 -5,.6346 -22 .4679 1 .325 .3422 0,.4289 .7266

0,,100 -6 .4644 -5..6482 -21 .9760 1,.350 .3063 .3904 0,.6896

0.,125 -6 .3642 -5.,6690 -21,.3992 1 .375 .2856 0,.3603 .6550

0,,150 -6,.2526 -5,,6948 -20 .7654 1,.400 .2333 0..3306 .6204

0,,175 -6..1258 -5,,7259 -20 .0928 1 .425 .1944 0..3025 0..5891

0,,200 -5..9919 -5.,7597 -19,.3990 1 .450 .1939 .2772 .5583

0,,225 -5..8485 -5.,7952 -18 .6932 1 .475 .1689 0..2587 0..5271

0,,250 -5.,7018 -5.,8301 -17,.9824 1 .500 .1559 0,.2401 0..4989

0.,275 -5..5497 -5,,8596 -17,.2728 1 .525 .1428 0,.2236 0,.4710

0.,300 -5..3970 -5,,8810 -16,.5680 1 .550 .1306 0,.2074 0,,4443

0.,325 -5.,2418 -5,,8893 -15,.8692 1 .575 .1182 0,,1923 0,,4189

0,,350 -5.,0879 -5,,8828 -15,.1784 1 .600 .0988 0.,1776 0,,3950

0.,375 -4.,9332 -5,,8527 -14 .4958 1 .625 .0963 0,,1659 0,,3726

0,,400 -4,.7810 -5,,8033 -13 .8240 1 .650 .0895 0,,1555 0,,3493

0,,425 -4..6291 -5,,7309 -13 .1622 1 .675 .0841 0,,1425 0,,3300

0,,450 -4..4804 -5,.6396 -12 .5134 1 .700 0,.0783 0,,1294 0.,3117

0,,475 -4,.3328 -5,.5252 -11 .8748 1 .725 0,.0826 0,,1215 0.,2951

0,,500 -4..1886 -5,.3959 -11 .2490 1 .750 0,,0623 0.,1143 0.,2808

0,,525 -4,.0460 -5..2514 -10 .6372 1,.775 0.,0567 0,,1050 0,,2683

0,,550 -3,.9071 -5,.0960 -10 .0393 1,.800 0,,0560 0,,0992 0,,2554

0.,575 -3 .7700 -4,,9287 -9 .4547 1..825 0,,0584 0.,0924 0..2432

0,,600 -3..6367 -4,,7549 -8..8855 1..850 0,,0516 0,,0841 0,,2323

0,,625 -3,.5055 -4,,5753 -8..3316 1.,875 0,,0371 0,.0806 0.,2216

0,,650 -3,.3780 -4.,3919 -7..7932 1..900 0.,0377 0,.0754 0,,2083

0,,675 -3,.2526 -4.,2051 -7,.2704 1.,925 0,,0408 0,,0719 0.,1954

0,.700 -3,.1312 -4.,0174 -6,.7649 1,,950 0,,0338 0,,0709 0.,1830

0,,725 -3,.0120 -3.,8298 -6,,2761 1,,975 0,,0327 0,,0668 0.,1693

0,,750 -2,,8968 -3,,6428 -5,,8046 2,,000 0,,0218 0,,0634 0.,1560

0,,775 -2,,7839 -3..4575 -5,,3500 2,,025 0,,0258 0,,0598 0.,1431

0.,800 -2,,6750 -3..2747 -4,,9137 2,,050 0,,0181 0.,0570 0,,1308

0..825 -2,,5685 -3,.0955 -4,,4956 2,,075 0,,0234 0.,0564 0,,1189

0,.850 -2,,4655 -2,,9196 -4,,0959 2,,100 0,,0189 0..0522 0,,1089

0..875 -2,.3550 -2,,7390 -3,.7133 2,,125 0,,0130 0,.0506 0,,0990

0..900 -2..1868 -2.,5395 -3,.3294 2,,150 0,,0128 0,.0468 0,,0895

0..925 -1,,8591 -2,,1759 -2,.8607 2,,175 0,,0130 0..0449 0,.0825

0..950 -1.,3490 -1,,6786 -2,.1904 2,,200 0,.0186 0,.0406 0..0748

0..975 ,7328 ,9859 -1 .3238 2,,225 0,.0143 0..0388 0,.0675

.000 _ ,1440 - ,2978 . .4425 2,,250 0,.0085 0,.0359 0,.0612

.025 0.,3251 0.,2306 .2737 2,,275 0,.0200 0,.0339 0,.0551

050 0,,6004 0,,6281 0..7509 2,,300 0..0081 0..0315 0,.0496

.075 0,,7494 0,,8067 1.,0108 2,,325 0,.0051 0..0284 0,.0442

.100 0.,8150 0,,9007 1,,1126 2,,350 0..0140 0..0264 0,,0380

.125 0.,7958 0,,8927 1,,1238 2,,375 0,,0080 0..0228 0,.0329

.150 0,,7523 0,,8555 1.,0854 2.,400 0,.0091 0..0192 0..0289

.175 0.,6945 0.,7897 1,,0304 2,,425 0..0092 0..0185 0,,0242

.200 0,,6320 0.,7150 0.,9683 2.,450 0..0122 0..0176 0,.0200

.225 0.,5810 0..6450 . 0,,9082 2,,475 0..0151 0..0150 0,.0169

.250 0,,4856 0..5763 0.,8546 2.,500 0..0029 0..0139 0.,0137

369-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

<J21^°U. "2.00 p* =0.165 x^= 0.5000 ^22/^1= ^-^^

R* '11 '12 '22 R* '11 12 '22

0,,025 -6,.3483 -5,.1653 -21,.5960 1,.275 0,.4598 .5224 0,.7913

0,,050 -6,.3118 -5,.1439 -21,.3562 1,.300 0,.4067 .4711 0,.7432

0.,075 -6,.2480 -5,.1496 -20,.9779 1,.325 0,.3634 .4276 0,.7024

0,,100 -6,.1671 -5,.1633 -20,.4930 1,.350 0,.3184 .3869 0,.6615

0,,125 -6,.0657 -5,.1842 -19,,9302 1,.375 0,.2927 .3567 0,.6205

0..150 -5,.9521 -5,.2103 -19,.3134 1,.400 0,.2669 .3265 0,.5854

0,,175 -5,,8252 -5,.2423 -18..6628 1,.425 0,.2326 .2987 0,.5521

0,,200 -5,.6911 -5,.2778 -17..9940 1..450 0,.2193 .2769 0,.5191

0,,225 -5,.5492 -5,.3160 -17,.3172 1,.475 0..2019 .2551 0,.4891

0,,250 -5,.4042 -5,.3548 -16..6384 1,.500 0,.1749 .2342 0,.4588

0.,275 -5,.2555 -5,.3900 -15..9618 1,.525 0,.1575 0,.2163 0,.4320

0,,300 -5,.1062 -5,.4186 -15,.2920 1,.550 0,.1511 .1992 0,.4083

0,,325 -4,.9559 -5,.4349 -14..6302 1,.575 0,.1386 0,.1832 0..3839

0,,350 -4,.8066 -5,.4374 -13,.9774 1,.600 0..1331 .1683 0,.3627

0.,375 -4,.6579 -5,.4172 -13,.3348 1,.625 0,.1197 .1562 0,.3385

0,,400 -4,.5112 -5,.3780 -12,.7040 1..650 0..1049 .1425 0,.3217

0.,425 -4,.3661 -5,.3158 -12,.0852 1,.675 0,.1051 .1330 0,.3022

0,,450 -4,.2234 -5,.2348 -11,.4784 1,.700 0,.0934 0,.1227 0,.2838

0.,475 -4,.0828 -5,.1316 -10..8838 1,.725 0,.0851 0,.1127 0,.2687

0,,500 -3,.9450 -5..0136 -10,.3030 1,.750 0,.0836 0,.1054 0,.2520

0,,525 -3,.8096 -4..8804 -9..7353 1,.775 0,.0776 0,.0969 0,.2374

0,,550 -3..6772 -4,.7367 -9..1816 1..800 0,.0700 0,.0919 0..2253

0.,575 -3,.5473 -4.,5815 -8,,6413 1,.825 0..0644 0..0835 0..2130

0,,600 -3..4206 -4,,4200 -8,,1162 1..850 0,.0639 0,.0784 0,.2014

0,,625 -3,.2966 -4..2527 -7,,6055 1..875 0..0547 0,.0731 0,.1909

0.,650 -3..1756 -4,.0818 -7,,1099 1,.900 0,.0583 0,.0668 0,,1796

0,,675 -3,.0574 -3,.9076 -6,,6288 1,.925 0,.0533 0,.0630 0,,1676

0,,700 -2,.9424 -3,.7326 -6,.1637 1,.950 0..0431 0,.0588 0,,1564

0,,725 -2,.8303 -3,.5576 -5,.7143 1,.975 0,.0430 0,.0572 0.,1465

0,,750 -2..7213 -3,.3832 -5,.2809 2,.000 0,.0370 0,.0535 0.,1348

0,,775 -2,.6153 -3,.2105 -4,.8632 2,.025 0,.0393 0,.0502 0,,1238

0,,800 -2,.5125 -3,.0403 -4,.4626 2,.050 0,.0321 0,.0477 0,,1135

0,,825 -2,.4127 -2,.8735 -4,.0789 2,.075 0,.0319 0,.0439 0,,1059

0,,850 -2,.3156 -2,.7101 -3,.7126 2,.100 0,.0294 0,.0424 0,,0962

0,,875 -2,.2114 -2.,5421 -3,.3624 2..125 0,.0246 0..0394 0,,0870

0.,900 -2,.0520 -2,,3564 -3,.0128 2,.150 0,.0257 0,.0385 0,,0797

0,,925 -1,.7486 -2,,0197 -2,,5889 2,.175 0,.0231 0,.0333 0.,0734

0,,950 -1,.2599 -1,,5574 -1,,9818 2,.200 0,.0216 0,.0306 0,,0688

0,,975 .6758 .9108 -1.,1986 2,.225 0,.0138 0..0282 0.,0618

1,,000 .1188 - .2661 . ,3964 2,.250 0..0144 0,.0260 0,,0547

1,.025 0,.3216 o!.2345 o!,2635 2,.275 0..0147 0..0240 0,,0499

1,.050 0,.6038 0..6204 0,,7130 2,.300 0,,0144 0,.0237 0.,0457

1,.075 0,.7670 0.,7952 0,,9649 2,.325 0,,0160 0,,0208 0.,0394

1..100 0,.8260 0..8833 1,,0737 2,.350 0.,0172 0,,0207 0.,0351

1,.125 0,.8217 0,.8783 1,,0927 2..375 0.,0116 0,,0183 0.,0317

1,.150 0,.7731 0,.8425 1,,0667 2,.400 0,,0142 0.,0154 0. 0268

1..175 0,.7216 0,.7755 1,,0156 2..425 0.,0111 0.,0140 0. 0227

1..200 0,.6512 0,.7066 0,,9542 2,.450 0.,0120 0,,0144 0. 0182

1,,225 0,.5852 0,.6396 0,.8966 2,.475 0,,0111 0.,0119 0. 0161

1,.250 0,.5161 0..5746 0,.8446 2,.500 0,,0122 0,,0086 0, 0150

370-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

^^22/^11 = 2.00 p* =0.244 X = 0.7500 e 22/^lf 1.50

R*

11 '12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

6.0329

5.9938

5.9278

5.8417

5.7366

5.6188

4892

3531

2107

0662

9189

7723

6250

4800

3356

1943

0542

9177

7827

6517

5223

3970

2735

1540

0365

9229

8114

7039

5985

4970

3978

3025

2097

1203

0243

1.8777

1.6021

1.1566

-.6205

-.1106

0.2794

0.5573

0.6958

0.7541

0.7490

0.7131

0.6643

0.5996

0.5408

0.4882

,5654

,5639

,5754

5931

6174

•4.6470

4.6831

4.7237

4.7685

4.8152

8604

9004

9292

9444

9376

9115

4.8613

4.7922

4.7011

4.5951

4.4735

4.3414

4.1985

4.0493

•3.8941

.7356

,5741

.4117

.2492

.0875

.9275

.7697

.6155

•2.4645

•2.3099

2.1400

1.8328

1.4094

-.8259

-.2359

0.2261

0.5739

0.7430

0.8338

0.8338

0.8055

0.7506

0.6844

0.6244

0.5631

20.1870

19.9362

19.5459

19.0510

18.4822

•17.8654

•17.2198

•16.5620

•15.9012

•15.2424

•14.5898

•13.9470

•13.3152

•12.6954

•12.0878

11.4950

•10.9152

•10.3493

-9.7967

-9.2590

-8.7353

-8.2257

-7.7298

-7.2485

-6.7816

-6.3290

-5.8902

-5.4665

-5.0574

-4.6632

-4.2838

-3.9203

-3.5726

-3.2410

-2.9245

-2.6110

-2.2410

.-1.7224

-1.0555

-.3640

0.2109

0.6222

0.8520

0.9719

0.9980

0.9863

0.9481

0.9084

0.8604

0.8036

275

300

325

350

375

1.400

1.425

1.450

1.475

1.500

1.525

1.550

1.575

1.600

1.625

1.650

1.675

700

725

750

775

800

825

850

875

900

1.925

950

975

000

025

050

2.075

2.100

2.125

150

175

200

225

250

275

300

325

350

375

2.400

2.425

2.450

2.475

2.500

0.4326

0.3860

0.3496

0.3109

0.2793

0.2480

0.2216

0.2046

0.1858

0.1646

0.1526

0.1405

0.1293

0.1137

0.1062

0.0974

0.0882

0.0805

0.0722

0.0677

0.0629

0.0544

0.0494

0.0458

0.0398

0.0392

0.0363

0.0345

0.0310

0.0299

0.0271

0.0270

0.0252

0.0215

0.0219

0.0202

0.0176

0.0158

0.0141

0.0150

0.0108

0.0130

0.0120

0.0094

0.0104

0.0078

0.0068

0.0070

0.0071

0.0073

0.5118

0.4613

0.4196

0.3825

0.3487

0.3163

0.2904

0.2647

0.2434

0.2214

0.2035

0.1879

0.1729

0.1607

0.1477

0.1388

0.1281

0.1193

0.1105

0.1022

0.0958

0.0910

0.0851

0.0815

0.0751

0.0703

0.0647

0.0595

0.0561

0.0517

0.0510

0.0467

0.0450

0.0423

0.0386

0.0368

0.0344

0.0300

0.0285

0.0275

0.0246

0.0215

0.0199

0.0168

0.0176

0.0158

0.0128

0.0101

0.0103

0.0086

0.7592

0.7185

0.6740

0.6336

0.5938

0.5543

0.5159

0.4887

0.4579

0.4261

0.4028

0.3781

0.3565

0.3387

0.3133

0.2986

0.2830

0.2673

0.2489

0.2309

0.2199

0.2037

0.1932

0.1800

0.1683

0.1614

0.1473

0.1399

0.1288

0.1206

0.1099

0.1062

0.0966

0.0901

0.0836

0.0769

0.0695

0.0638

0.0568

0.0547

0.0482

0.0447

0.0375

0.0354

0.0278

0.0263

0.0223

0.0189

0.0148

0.0122

371
"'ii^^'w

== 2.00 p* =0. 306 ^r 0.9001 ^22/^ir 1.50

R* ^11 ^12 ^^22 R*

'^ll ^12 ^22

0.025 -4.,6725 -3,,1300 -14,,0900 1.275 0.4189 0.4784 0,,5830

0.050 -4.,6392 -3,,1357 -13.,8891 1.300 0.3756 0.4319 0,,5431

0.075 -4,,5847 -3,,1482 -13.,5799 1.325 0.3369 0.3916 0.,4912

0.100 -4,,5135 -3,,1654 -13.,1900 1.350 0.3012 0.3518 0,,4556

0.125 -4.,4277 -3,,1888 -12,,7451 1.375 0.2732 0.3200 0,,4178

0.150 -4.,3319 -3,,2170 -12,,2673 1.400 0.2438 0.2878 0,,3754

0.175 -4,,2278 -3.,2513 -11.,7739 1.425 0.2208 0.2611 0.,3444

0.200 -4,,1191 -3,,2900 -11,,2750 1.450 0.1985 0.2362 0,,3175

0.225 -4,,0066 -3,,3338 -10,,7791 1.475 0.1814 0.2156 0,,2847

0.250 -3,,8931 -3,,3803 -10,,2903 1.500 0.1636 0.1940 0,,2618

0.275 -3,,7786 -3,,4270 -9,,8108 1.525 0.1482 0.1768 0,,2458

0.300 -3,.6651 -3,,4710 -9,,3435 1.550 0.1344 0.1606 0,,2289

0.325 -3,,5523 -3..5073 -8,,8890 1.575 0.1218 0.1472 0,,2132

0.350 -3,.4415 -3..5333 -8,,4478 1.600 0.1092 0.1339 0,,1945

0.375 -3,.3322 -3,,5425 -8,,0193 1.625 0.1006 0.1226 0,.1778

0.400 -3,.2255 -3,.5367 -7,,6046 1.650 0.0907 0.1117 0,,1630

0.425 -3,.1206 -3,.5117 -7,,2031 1.675 0.0831 0.1036 0.,1463

0.450 -3,.0186 -3..4716 -6,,8145 1.700 0.0758 0.0950 0.,1351

0.475 -2,.9185 -3..4145 -6,,4381 1.725 0.0690 0.0877 0,,1258

0.500 -2,.8214 -3.,3457 -6,,0745 1.750 0.0617 0.0802 0,,1147

0.525 -2,.7263 -3..2647 -5.,7228 1.775 0.0575 0.0755 0,,1053

0.550 -2..6342 -3,.1756 -5.,3827 1.800 0.0522 0.0703 0.,0990

0.575 -2,.5441 -3..0783 -5,,0537 1.825 0.0479 0.0631 0.,0898

0.600 -2,.4568 -2,.9762 -4,,7362 1.850 0.0442 0.0580 0,.0816

0.625 -2,.3717 -2,.8695 -4..4297 1.875 0.0410 0.0544 0.,0696

0.650 -2,.2893 -2..7603 -4..1339 1.900 0.0366 0.0497 0,,0682

0.675 -2,.2090 -2..6489 -3,.8485 1.925 0.0344 0.0457 0,.0627

0.700 -2,.1314 -2..5370 -3,.5741 1.950 0.0317 0.0414 0,,0605

0.725 -2,.0560 -2,.4248 -3..3103 1.975 0.0280 0.0385 0,.0580

0.750 -1,.9832 -2,.3133 -3,.0570 2.000 0.0246 0.0358 0,.0512

0.775 -1,.9125 -2..2030 -2..8141 2.025 0.0233 0.0338 0.,0444

0.800 -.1..8444 -2,.0945 -2,.5822 2.050 0.0209 0.0301 0..0371

0.825 -1,.7786 -1..9884 -2,.3611 2.075 0.0198 0.0280 0,.0353

0.850 -1,.7149 -1,.8847 -2,.1509 2.100 0.0180 0.0259 0,.0296

0.875 -1,.6460 -1,.7779 -1..9513 2.125 0.0150 0.0224 0..0252

0.900 -1,.5353 -1,.6582 -1,.7545 2.150 0.0135 0.0208 0..0245

0.925 -1,.3143 -1,.4274 -1,.5189 2.175 0.0126 0.0183 0,.0210

0.950 .9512 -1,.1023 -1,.1905 2.200 0.0113 0.0173 0,.0237

0.975 .5070 .6307 .7421 2.225 0.0105 0.0160 0..0216

1.000 . .0755 . .1514 . .2699 2.250 0.0097 0.0137 0,,0183

1.025 o!.2705 o!.2327 o!.1614 2.275 0.0077 0.0138 0,,0173

1.050 0,.5049 0,.5341 0,.4578 2.300 0.0085 0.0132 0..0149

1.075 .6354 .6801 0,.6463 2.325 0.0065 0.0104 0,.0123

1.100 .6890 0,.7652 0,.7474 2.350 0.0059 0.0102 0,.0100

1.125 0,.6927 0,.7659 0,.7876 2.375 0.0044 0.0090 0,.0111

1.150 0,.6663 0,.7419 0,.7857 2.400 0.0039 0.0081 0..0102

1.175 0,.6217 0..6946 0,.7502 2.425 0.0035 0.0069 0..0115

1.200 0,.5706 0,.6393 0,.7175 2.450 0.0031 0.0058 0..0131

1.225 0,.5166 0,.5841 0,.6709 2.475 0.0021 0.0050 0,,0102

1.250 0,.4669 0,.5283 .6332 2.500 0.0023 0.0037 0..0083

372
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

^22/''ll = 2-^^ P* -0.322 x^= 0.9502 ^22/^1= ^-5°

R* '11 12 '22 R* '11 12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

.875

.900

0.925

0.950

0.975

1.000

1.025

050

075

100

125

150

175

200

225

250

•3.9934

3.9642

•3.9169

•3.8551

3.7811

•3.6984

3.6092

3.5161

3.4204

3.3238

3.2271

3.1313

.0367

.9437

.8527

.7637

,6769

.5923

,5100

,4298

,3520

,2763

,2028

,1315

,0623

,9953

1.9302

1.8673

8063

.7474

.6905

.6356

.5826

.5314

.4755

,3815

,1862

-.8601

-.4541

-.0554

0.2616

0.4769

0.6011

0.6561

0.6631

0.6372

0.5986

0.5476

0.4965

0.4502

•2.5599

•2.5662

•2.5779

2.5940

2.6156

2.6417

2.6735

2.7096

,7506

,7944

.8390

,8816

,9178

,9453

9585

9586

9421

9125

2.8684

2.8143

,7495

,6779

,5995

.5171

,4309

,3426

,2527

1623

•2.0718

•1.9819

8931

8058

7205

6373

5512

1.4532

1.2538

-.9693

-.5459

-.1141

0.2357

0.5169

0.6507

0.7278

0.7325

0.7130

0.6665

0.6131

0.5594

0.5058

•11.5050

•11.3291

•11.0589

•10.7180

•10.3321

-9.9190

-9.4937

-9.0666

-8.6439

-8.2295

-7.8253

-7.4335

-7.0544

-6.6881

-6.3343

-5.9936

-5.6655

-5.3494

-5.0445

-4.7511

-4.4684

-4.1961

-3.9334

-3.6810

-3.4381

-3.2045

-2.9799

-2.7647

-2.5584

-2.3610

-2.1722

-1.9926

-1.8218

-1.6600

-1.5067

-1.3553

-1.1764

-.9000

-.5315

-.1236

0.2547

0.5042

0.6934

0.7529

0.7843

0.7835

0.7478

0.7275

0.6647

0.6334

1.275

1.300

1.325

1.350

1.375

1.400

1.425

1.450

1.475

1.500

1.525

1.550

1.575

1.600

1.625

1.650

1.675

1.700

1.725

1.750

1.775

1.800

1.825

1.850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

2.050

2.075

2.100

2.125

2.150

2.175

2.200

2.225

2.250

2.275

2.300

2.325

2.350

2.375

2.400

2.425

2.450

2.475

2.500

0.4045

0.3621

0.3252

0.2920

0.2620

0.2365

0.2125

0.1923

0.1723

0.1558

0.1418

0.1280

0.1152

0.1057

0.0947

0.0858

0.0782

0.0720

0.0630

0.0571

0.0528

0.0466

0.0424

0.0392

0.0361

0.0320

0.0291

0.0255

0.0243

0.0206

0.0193

0.0186

0.0158

0.0141

0.0123

0.0113

0.0104

0.0086

0.0081

0.0067

0.0058

0.0052

0.0046

0.0037

0.0024

0.0022

0.0010

0.0006

0.0008

0.0006

0.4557

0.4107

0.3743

0.3372

0.3038

0.2737

0.2485

0.2250

0.2004

0.1816

0.1623

0.1480

0.1354

0.1248

0.1144

0.1059

0.0966

0.0881

0.0800

0.0740

0.0657

0.0636

0.0561

0.0508

0.0460

0.0425

0.0383

0.0355

0.0319

0.0297

0.0264

0.0263

0.0233

0.0195

0.0178

0.0164

0.0143

0.0128

0.0120

0.0111

0.0097

0.0092

0.0081

0.0068

0.0048

0.0046

0.0025

0.0023

0.0013

0.0009

0.5808

0.5402

0.4997

0.4503

0.4197

0.3610

0.3426

0.3184

0.2878

0.2547

0.2446

0.2206

0.2029

0.1877

0.1745

0.1647

0.1565

0.1413

0.1242

0.1159

0.1038

0.1031

0.0960

0.0853

0.0827

0.0759

0.0649

0.0598

0.0525

0.0536

0.0532

0.0498

0.0436

0.0525

0.0402

0.0368

0.0357

0.0429

0.0407

0.0367

0.0368

0.0314

0.0293

0.0278

0.0186

0.0224

0.0229

0.0140

0.0138

0.0152

373-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

^^22/^11 = 2.00 p* =0. 111 ^r 0.0498 ^22/^11= 2.00

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0.025 -8,.4739 -7,,4653 -32,.9251 1.275 0.5683 0,.5795 0,.9088

0.050 -8..4150 -7.,3550 -32,.5683 1.300 0.5164 0..5206 0,,8581

0.075 -8,.3198 -7,,3385 -32,.0068 1.325 0.4770 0,.4744 0,,8125

0.100 -8..2151 -7.,3421 -31,.2830 1.350 0.3946 0..4319 0,,7700

0.125 -8..0764 -7.,3598 -30,.4403 1.375 0.3750 0,.3966 0,,7284

0.150 -7..9273 -7,,3855 -29,.5156 1.400 0.3357 0..3588 0,,6884

0.175 -7,.7539 -7,,4194 -28,.5397 1.425 0.2789 0,.3335 0.,6495

0.200 -7,.5745 -7.,4581 -27,.5350 1.450 0.2039 0,.3064 0.,6106

0.225 -7,.3792 -7,,5008 -26,.5163 1.475 0.2433 0..2846 0,,5719

0.250 -7..1824 -7.,5440 -25,.4946 1.500 0.2317 0..2606 0.,5330

0.275 -6..9758 -7.,5819 -24,.4727 1.525 0.1546 0..2434 0,,4953

0.300 -6..7712 -7.,6110 -23,.4590 1.550 0.1187 0..2231 0,,4599

0.325 -6,.5607 -7,,6246 -22,.4533 1.575 0.1620 0,.2018 0,,4251

0.350 -6,.3546 -7,,6199 -21,.4586 1.600 0.1426 0..1851 0.,3931

0.375 -6,.1452 -7,,5840 -20,.4747 1.625 0.1246 0..1683 0,,3637

0.400 -5,.9416 -7.,5221 -19,.5050 1.650 0.1299 0,.1536 0,,3382

0.425 -5,.7361 -7,,4288 -18,.5493 1.675 0.1429 0,.1387 0.,3165

0.450 -5,.5373 -7,,3087 -17,.6085 1.700 0.0909 0,.1265 0,,2998

0.475 -5..3377 -7.,1556 -16,.6827 1.725 0.0868 0,.1152 0.,2863

0.500 -5,,1451 -6.,9810 -15,.7760 1.750 0.1182 0,.1018 0,,2765

0.525 -4..9524 -6,,7846 -14,.8883 1.775 0.0726 0,.0940 0,,2691

0.550 -4,,7668 -6,,5723 -14,.0205 1.800 0.0756 0,.0867 0,.2639

0.575 -4,,5815 -6,,3428 -13,.1718 1.825 0.0888 0,.0777 0,,2578

0.600 -4..4035 -6,,1038 -12,.3470 1.850 0.1031 0,.0708 0,,2502

0.625 -4..2261 -5.,8566 -11,.5442 1.875 0.0913 0,.0671 0,,2398

0.650 -4,.0560 -5,,6039 -10,.7665 1.900 0.0867 0,.0653 0,,2263

0.675 -3..8866 -5,,3460 -10,.0128 1.925 0.0580 0,.0638 0,,2101

0.700 -3,.7247 -5,,0867 -9,.2848 1.950 0.0467 0,.0627 0,,1914

0.725 -3,.5637 -4,,8273 -8,.5826 1.975 0.0451 0,.0630 0,,1720

0.750 -3,.4102 -4,,5687 -7,.9063 2.000 0.0434 0,.0641 0.,1528

0.775 -3,.2579 -4,,3121 -7,.2553 2.025 0.0665 0,.0605 0,,1344

0.800 -3,.1130 -4.,0589 -6,.6313 2.050 0.0450 0,.0590 0,,1190

0.825 -2,.9696 -3,,8106 -6,.0336 2.075 0.0398 0..0583 0.,1055

0.850 -2..8323 -3.,5670 -5,.4624 2.100 0.0344 0,.0586 0,,0948

0.875 -2..6887 -3,,3245 -4,.9175 2.125 0.0595 0,.0533 0.,0860

0.900 -2..4669 -3,,0730 -4,.3951 2.150 0.0156 0,.0501 0.,0795

0.925 -2,.0675 -2,,6697 -3,.8453 2.175 0.0366 0,.0457 0.,0741

0.950 -1..4489 -2,,1198 -3,.1213 2.200 0.0223 0,.0405 0.,0692

0.975 .7499 -1.,3016 -2,.1145 2.225 0.0336 0,.0345 0,,0641

1.000 - .1048 - ,4614 . .9618 2.250 0.0177 0,.0288 0.,0607

1.025 0,.3772 0.,2035 o:.0621 2.275 0.0308 0,.0253 0.,0563

1.050 0,.7477 0,,7088 .7775 2.300 0.0235 0,.0196 0,,0523

1.075 0,.9619 0,.9406 1 .1765 2.325 0.0397 0,.0160 0,,0475

1.100 0,.9051 1,.0562 1 .3293 2.350 0.0693 0,.0122 0,,0421

1.125 0,.8460 1..0351 1,.3408 2.375 0.0330 0,.0126 0,,0368

1.150 0,.9097 0,.9846 1 .2818 2.400 0.0448 0..0096 0,,0314

1.175 .8590 0,.8967 1 .1983 2.425 0.0453 0,.0073 0.,0265

1.200 .7122 0,.8031 1 .1119 2.450 . 0404 0..0057 0,,0210

1.225 .6800 0,.7198 1 .0348 2.475 0.0589 0,.0057 0,,0153

1.250 .6005 0,.6444 .9687 2.500 0.0354 0,.0052 0.,0111

-374
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

<^2l/<^\\ = 2.00 p* =0.116 X = 0.0999 ^22/^1= 2-00

R* '11 '12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

8.4457

8.3927

8.2994

8.1953

8.0570

7.9079

7.7349

7.5556

7.3610

7.1646

6.9589

6.7550

6.5456

6 . 3404

1322

9295

7254

5276

3292

1376

9460

7614

5773

4001

2238

4.0544

8860

,7248

,5647

,4118

,2603

,1160

2.9733

2.8366

2.6910

2.4803

2.1077

1.5565

-.8860

-.2403

0.2049

0.5636

0.7787

0.7300

0.7332

0.7136

0.6071

0.5749

0.5129

0.4264

4405

3559

3458

3524

3712

3975

7.4315

7.4701

7.5123

5552

5929

6217

6349

•7.6297

5934

,5308

,4366

.3155

,1614

.9858

,7882

,5748

,3441

-6.1041 - 8558

6021

3432

0831

8229

5635

3060

0522

8033

5592

3161

0634

6619

1112

2974

-.4578

0.2037

0.7156

0.9421

1.0602

1.0394

0.9798

0.9011

0.8079

0.7307

0.6571

32.8691

32.5103

31.9448

31.2180

30.3713

29.4436

28.4647

27.4580

26.4373

25.4126

24.3887

23.3730

22.3653

21.3686

20.3827

19.4110

18.4543

17.5115

16.5857

15.6770

14.7873

13.9175

13.0688

12.2420

11.4382

10.6585

-9.9025

-9.1726

-8.4683

-7.7900

-7.1369

-6.5110

-5.9115

-5.3387

-4.7924

-4.2691

-3.7186

-2.9963

-1.9937

-.8475

0.1722

0.8875

2848

.4415

.4525

.3954

.3127

2269

1.1514

1.0850

,275

,300

,325

,350

,375

,400

,425

,450

.475

500

525

550

575

1.600

1.625

1.650

1.675

1.700

1.725

1.750

1.775

1.800

1.825

1.850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

.050

.075

.100

125

.150

175

200

.225

250

275

300

325

.350

375

2.400

2.425

2.450

2.475

2.500

0.3943

0.3330

0.2630

0.2513

0.2460

0.2224

0.1877

0.1757

0.1730

0.1415

0.1179

0.1068

0.1002

0.1059

0.1012

0.0938

0.0811

0.0704

0.0611

0.0641

0.0377

0.0613

0.0421

0.0371

0.0176

0.0286

0.0259

0.0230

0.0241

0.0165

0.0236

0.0306

0.0248

0.0261

0.0278

0.0138

0.0110

0.0016

0.0063

0.0008

0.0033

0.0083

-.0085

-.0131

-.0018

-.0056

-.0159

-.0108

- . 0044

-.0107

0.5923

0.5296

0.4873

0.4480

0.4119

0.3822

0.3531

0.3253

0.3039

0.2810

0.2629

0.2428

0.2251

0.2101

0.1927

0.1754

0.1624

0.1480

0.1364

0.1265

0.1176

0.1074

0.0996

0.0929

0.0883

0.0845

0.0806

0.0802

0.0769

0.0747

0.0749

0.0730

0.0697

0.0696

0.0653

0.0623

0.0551

0.0511

0.0451

0.0395

0.0357

0.0314

0.0258

0.0236

0.0221

0.0187

0.0167

0.0150

0.0130

0.0122

1.0269

0.9753

0.9278

0.8843

0.8421

0.8004

0.7595

0.7177

0.6778

0.6374

0.5981

0.5593

0.5234

0.4895

0.4578

0.4290

0.4034

0.3825

0.3645

0.3507

0.3397

0.3295

0.3196

0.3073

0.2944

0.2781

0.2586

0.2367

0.2144

0.1938

0.1740

0.1551

0.1401

0.1273

0.1158

0.1062

0.0976

0.0904

0.0843

0.0776

0.0704

0.0638

0.0577

0.0512

0.0442

0.0378

0.0314

0.0254

0.0194

0.0140

375-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

o,.J'^\\ =2.00 p* =0.116 X = 0.1001 ^22/^1= 2-00

R* '11 '12 '22 R* '11 12 '22

0,.025 -8,,3846 -7,.2344 -32,,2171 ,275 0,.4564 0,,5862 0,.9215

0..050 -8,,3331 -7,,1627 -31,,8623 ,300 0,.3623 0,.5204 0,.8648

0..075 -8,,2413 -7,,1565 -31,,3028 ,325 0,.3264 0,.4753 0,.8148

0,.100 -8,,1374 -7,,1657 -30,,5830 ,350 0,.2797 0.,4320 0,,7667

0..125 -7,,9999 -7,,1867 -29,,7453 ,375 0,,2410 0,,3966 0,,7212

0,.150 -7,,8509 -7,,2151 -28,.8276 ,400 0,,2364 0,,3648 0,.6780

0,.175 -7,,6784 -7,.2514 -27,,8597 .425 0,,2077 0,,3364 0,,6365

0..200 -7,,4990 -7,,2925 -26,,8650 ,450 0.,1908 0,,3054 0,.5941

0,.225 -7,,3046 -7,,3374 -25,,8563 ,475 0,,1734 0,,2826 0,,5536

0,.250 -7,,1081 -7,,3832 -24,,8456 ,500 0,,1595 0,,2588 0,.5136

0,.275 -6.,9025 -7,,4239 -23,,8367 ,525 0,,1492 0,,2382 0,,4751

0,.300 -6,,6984 -7,,4558 -22,,8360 ,550 0,,1384 0,,2188 0,,4376

0,.325 -6,,4892 -7,,4723 -21,,8453 ,575 0,,1358 0,,2006 0,.4029

0,.350 -6,,2840 -7,.4706 -20,,8656 ,600 0,.1128 0.,1816 0,.3710

0,.375 -6,,0760 -7,,4379 -19,,8977 ,625 0,,1224 0,,1662 0,,3419

0,.400 -5,,8735 -7,,3791 -18,,9440 ,650 0,.1003 0,,1494 0,,3165

0,.425 -5,,6699 -7,,2889 -18,.0063 ,675 0,.0992 0,,1369 0,.2942

0..450 -5,,4724 -7.,1719 -17,.0835 ,700 0,.0865 0,,1257 0,,2767

0,.475 -5,,2747 -7,,0222 -16,,1767 ,725 0,,0566 0,,1113 0,.2629

0..500 -5,,0837 -6,,8509 -15,,2890 ,750 0,.0769 0,,0996 0,.2533

0..525 -4..8930 -6..6579 -14,,4203 ,775 0,.0675 0,.0909 0,.2466

0,.550 -4,.7091 -6,,4490 -13,.5715 ,800 0,.0767 0,.0800 0,,2408

0,.575 -4,,5259 -6,,2232 -12,,7428 ,825 0,.0497 0,,0728 0,.2351

0,.600 -4,,3496 -5,,9880 -11,.9380 ,850 0,.0497 0,,0652 0,,2275

0,.625 -4.,1743 -5,,7446 -11,.1552 ,875 0,.0414 0,,0615 0,,2185

0..650 -4,,0059 -5.,4958 -10,,3964 ,900 0,,0255 0,,0584 0,,2061

0,.675 -3.,8386 -5.,2420 -9,,6622 ,925 0.,0454 0,,0572 0,,1921

0..700 -3.,6784 -4.,9869 -8,,9534 ,950 0,.0351 0,,0558 0,.1755

0,.725 -3.,5195 -4.,7318 -8,,2700 ,975 0,.0307 0,,0544 0,,1579

0..750 -3,,3676 -4.,4774 -7,,6122 2,,000 0,.0218 0.,0534 0,,1398

0,.775 -3.,2173 -4,,2252 -6,,9794 2,,025 - ,0020 0,,0520 0,,1237

0,.800 -3,,0741 -3,,9766 -6,,3733 2,,050 o!,0181 0,,0509 ,1094

0,.825 -2.,9327 -3,,7328 -5,,7932 2,,075 0,,0175 0,,0497 0,,0973

0..850 -2.,7980 -3.,4937 -5,,2393 2,,100 0,.0153 0,,0474 0,.0878

0,.875 -2,,6479 -3,,2557 -4,,7113 2,,125 - .0027 0,,0471 0,,0798

0,.900 -2,,4529 -3,,0085 -4,,2055 2,,150 o!.0045 0,,0435 0,,0734

0,.925 -2,,0712 -2.,6109 -3,,6719 2,,175 0,,0030 0,,0400 0,.0678

0..950 -1,,4940 -2,,0646 -2,,9667 2,,200 0,.0072 0,,0365 0,.0637

0,.975 ,8709 -1,,2574 -1,,9802 2,,225 0..0112 0,,0321 0,.0598

1,.000 - ,1832 - ,4234 . ,8488 2,,250 0,,0039 0.,0282 0,,0561

1..025 0,,3096 o!,2321 o!,1536 2,,275 0,.0009 0,.0254 0,.0522

1..050 0,,5958 0,,7404 0,,8571 2,,300 . .0116 0,,0205 0,.0478

1.,075 .7829 ,9652 1,,2429 2,,325 o!.0043 0,.0163 0,.0429

1.,100 .8234 1,.0854 1,,3885 2,,350 . .0086 0,.0137 0,,0388

1..125 0,,8043 1 .0622 1 ,3907 2,,375 . .0073 0,,0115 0,,0339

1,.150 .7610 1,.0024 1 ,3263 2,,400 o!.0025 0,.0095 0,,0285

1,,175 0,.7247 .9100 1,,2360 2,,425 0,.0135 0,.0082 0,.0234

1,,200 .6371 .8191 1,,1439 2,.450 0,.0028 0,.0072 0,.0186

1.,225 .5500 .7337 1,.0594 2,,475 0,.0119 0..0051 0,.0143

1,,250 .4909 .6542 .9862 2,,500 0,.0050 0,.0077 0,.0095

376
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

o

,

ii^^'w = 2.00 P* =0. 134 ^r 0.2500 ^22/^11= 2.00

R* ^11 ^12 ^22 R* ^11 ^12 ^22

025 -8 4006 -7 3121 -32 7551 1.275 0.4153 0.6196 1 2173

050 -8 3527 -7 2501 -32 3913 1.300 0.3499 0.5656 1 1637

075 -8 2620 -7 2462 -31 8178 1.325 0.3201 0.5202 1 1133

100 -8 1561 -7 2561 -31 0820 1.350 0.2925 0.4791 1 0644

125 -8 0173 -7 2765 -30 2273 1.375 0.2438 . 4444 1 0164

150 -7 8659 -7 3040 -29 2916 1.400 0.2254 0.4149 9684

175 -7 6918 -7 3393 -28 3047 1.425 0.2004 0.3832 9210

200 -7 5106 -7 3792 -27 2900 1.450 0.2018 0.3557 8782

225 -7 3151 -7 4229 -26 2633 1.475 0.1738 0.3320 8327

250 -7 1173 -7 4675 -25 2316 1.500 0.1591 0.3108 7883

275 -6 9112 -7 5076 -24 2017 1.525 0.1436 0.2910 7458

300 -6 7064 -7 5391 -23 1790 1.550 0.1311 0.2704 7033

325 -6 4970 -7 5551 -22 1663 1.575 0.1190 0.2526 6651

350 -6 2912 -7 5526 -21 1636 1.600 0.1139 0.2362 6255

375 -6 0834 -7 5191 -20 1727 1.625 0.1079 0.2194 5891

400 -5 8804 -7 4591 -19 1970 1.650 0.0943 0.2038 5554

425 -5 6769 -7 3667 -18 2363 1.675 0.0870 0.1886 5243

450 -5 4791 -7 2473 -17 2916 1.700 0.0846 0.1750 4971

475 -5 2815 -7 0948 -16 3627 1.725 0.0773 0.1643 4728

500 -5 0899 -6 9205 -15 4530 1.750 0.0801 0.1516 4500

525 -4 8991 -6 7237 -14 5623 1.775 0.0778 0.1437 4297

550 -4 7147 -6 5109 -13 6925 1.800 0.0659 0.1358 4127

575 -4 5313 -6 2808 -12 8418 1.825 0.0552 0.1275 3934

600 -4 3545 -6 0413 -12 0140 1.850 0.0665 0.1210 3756

625 -4 1791 -5 7930 -11 2102 1.875 0.0543 0.1148 3552

650 -4 0099 -5 5392 -10 4295 1.900 0.0464 0.1094 3342

675 -3 8424 -5 2804 -9 6716 1.925 0.0410 0.1055 3124

700 -3 6816 -5 0201 -8 9399 1.950 0.0459 0.1005 2880

725 -3 5224 -4 7597 -8 2335 1.975 0.0465 0.0966 2627

750 -3 3701 -4 5002 -7 5529 2.000 0.0346 0.0936 2395

775 -3 2195 -4 2429 -6 8975 2.025 0.0339 0.0923 2175

800 -3 0759 -3 9891 -6 2693 2.050 0.0313 0.0884 1968

825 -2 9342 -3 7405 -5 6678 2.075 0.0275 0.0844 1778

850 -2 7990 -3 4967 -5 0934 2.100 0.0233 0.0838 1604

875 -2 6518 -3 2544 -4 5461 2.125 0.0212 0.0783 1474

900 -2 4492 -3 0032 -4 0226 2.150 0.0259 0.0739 1340

925 -2 0743 -2 6054 -3 4747 2.175 0.0199 0.0689 1226

950 -1 5064 -2 0600 -2 7630 2.200 0.0186 0.0640 1110

975 8533 -1 2581 -1 7821 2.225 0.0204 0.0579 1012

1 000 _ 2129 4339 6577 2.250 0.0213 0.0517 0906

1 025 2627 2224 3406 2.275 0.0261 0.0486 0819

1 050 5953 7259 1 0497 2.300 0.0293 0.0426 0742

1 075 7298 9517 1 4438 2.325 0.0289 0.0384 0661

1 100 8286 1 0623 1 6081 2.350 0.0241 0.0344 0571

1 125 7954 1 0585 1 6305 2.375 0.0273 0.0299 0506

1 150 7373 1 0109 1 5796 2.400 0.0310 0.0298 0421

1 175 6875 9266 1 5034 2.425 0.0293 0.0237 0344

1 200 5799 8390 1 4236 2.450 0.0245 0.0207 0274

1 225 5290 7573 1 3470 2.475 0.0294 0.0180 0227

1 250 4689 6797 1 2795 2.500 0.0209 0.0169 0167

-377-
DIRECT CORRELATION FUNCTIONS FOR T* - 2.0

^^22/^11 = 2.00 p* =0.134 x^= 0.2500 ^22/hr 2-00

R* '11 12 '22 R* '11 '12 '22

0.,025 -8,.3961 -7 .3046 -32 .6381 1 .275 .4400 .5922 1,.0327

0,.050 -8,.3454 -7,.2428 -32 .2753 1 .300 .3833 .5295 0,.9808

0.,075 -8,.2550 -7 .2389 -31,.7048 1 .325 .3313 0,.4882 0,.9311

0,,100 -8,,1485 -7,.2487 -30 .9710 1 .350 0,.2880 0,.4428 0.,8839

0,,125 -8,.0103 -7,.2691 -30,.1193 1 .375 0,.2590 0,.4147 0,,8402

0,,150 -7,.8587 -7,.2967 -29,.1876 1,.400 0,.2315 0,.3774 0,.7963

0,,175 -7,.6853 -1

.

.3321 -28,,2047 1 .425 0,.2022 0,.3527 0,.7517

0,,200 -7,.5040 -7..3722 -27,.1960 1 .450 0,.1882 0,,3236 0,.7088

0,,225 -7,,3092 -7..4161 -26,,1743 1,.475 0,.1765 0,,3028 0,.6647

0,,250 -7,.1114 -7.,4610 -25,.1496 1,.500 0,.1712 0,,2799 0,.6276

0,,275 -6,.9058 -7..5013 -24,.1267 1,.525 0,,1730 0,,2593 0,.5871

0,,300 -6,.7009 -7..5331 -23,,1110 1,.550 0,,1428 0,,2373 0,.5511

0,,325 -6,.4920 -7..5494 -22,,1063 1,.575 0,,1390 0,,2199 0,.5161

0.,350 -6,.2861 -7..5472 -21,,1116 1,.600 0,,1300 0,,2035 0,.4818

0,,375 -6,.0787 -7.,5139 -20,,1297 1,.625 0,,1227 0,.1885 0,.4505

0,,400 -5,.8757 -7..4541 -19,,1630 1,.650 0,,1063 0,.1734 0,.4213

0,,425 -5,.6726 -7..3619 -18,,2103 1,,675 0,,0933 0,.1617 0,.3968

0,,450 -5,.4748 -7

.

.2426 -17,.2745 1,,700 0,,0979 0,.1489 0,.3734

0,,475 -5,.2777 -7

.

.0902 -16,.3547 1,,725 0,,0919 0,.1382 0,.3534

0,,500 -5,.0863 -6,,9161 -15,.4540 1,,750 0,,0773 0,.1285 0,.3367

0,,525 -4,.8960 -6,.7196 -14..5733 1,,775 0,,0815 0,.1188 0,.3224

0,,550 -4,.7118 -6,.5071 -13,.7115 1,,800 0..0751 0,.1087 0..3099

0,,575 -4,.5289 -6,.2776 -12,.8708 1,,825 0,.0618 0,.1012 0,.2980

0,,600 -4,.3522 -6..0386 -12,.0520 1,,850 0,.0553 0,.0929 0..2835

0.,625 -4..1772 -5..7911 -11,.2572 1,,875 0..0498 0,.0871 0,.2713

0,.650 -4,.0083 -5,.5382 -10,.4844 1.,900 0..0467 0,.0827 0,.2558

0,,675 -3,.8412 -5,.2804 -9,.7363 1,,925 0,.0494 0,.0799 0,.2371

0,.700 -3..6805 -5,.0212 -9,.0133 1,,950 0,.0453 0,.0779 0,.2194

0,.725 -3,.5217 -4,.7621 -8,.3154 1.,975 0,.0385 0,.0747 0,.1990

0,.750 -3..3694 -4,.5038 -7,.6432 2,.000 0,.0312 0,.0708 0..1800

0,.775 -3,.2193 -4..2478 -6,.9960 2..025 0,,0363 0..0699 0..1613

0,.800 -3,.0756 -3,.9954 -6,.3758 2,.050 0,,0272 0,,0677 0.,1459

0,.825 -2,.9343 -3..7481 -5..7821 2,.075 0,,0309 0,,0638 0.,1309

0,.850 -2,.7988 -3,.5057 -5..2152 2,.100 0.,0230 0,,0611 0.,1178

0,.875 -2,.6545 -3,,2645 -4,.6751 2,.125 0,,0251 0,,0592 0.,1069

0,.900 -2,.4444 -3,.0145 -4,.1583 2,.150 0,,0291 0,,0572 0,,0983

0,.925 -2,.0794 -2,.6197 -3,,6171 2,.175 0,,0221 0,,0522 0,,0893

0,.950 -1,.4939 -2,.0745 -2,,9100 2,.200 0.,0322 0.,0463 0,,0815

0,.975 .8308 -1,.2778 -1.,9339 2,.225 0.,0193 0.,0429 0.,0747

.000 - .2021 . .4595 ,8171 2,.250 0,,0220 0,,0388 0.,0677

.025 0,.3217 0!.1971 0!,1804 2,.275 0.,0269 0.,0327 0.,0613

.050 0..6063 0..6999 0,,8821 2,.300 0.,0277 0.,0274 0.,0550

.075 0,.7622 0..9251 1,,2739 2,.325 0,,0147 0.,0249 0.,0487

.100 0,.8166 1,.0428 1.,4315 2,.350 0.,0263 0,,0234 0.,0429

.125 0,.7954 1,.0303 1,,4537 2,.375 0.,0167 0.,0194 0.,0368

.150 0,.7453 0,.9793 1.,4000 2,.400 0,,0137 0.,0163 0.,0309

.175 0,.6969 0..8990 1.,3212 2,.425 0,,0182 0.,0137 0.,025«

.200 0,.6185 0,.8110 1,,2383 2,.450 0,,0173 0,,0133 0.,0217

,225 0,.5594 0,.7276 1,,1625 2,.475 0.,0135 0.,0116 0.,0165

.250 0,.5178 0,.6545 1,,0944 2,.500 0.,0208 0.,0112 0. 0131

-378
"'ll^^'ll = 2.00 p* =0. 177 ^r 0.5000 '22^'ir 2.00

R* ^11 ^12 "22 R* "11 "12 "22

0,.025 -8 .0572 -6 .7197 -30 .8881 1 .275 0.4172 0,.6292 1,.1918

0,.050 -8 .0125 -6 .6980 -30 .5253 1,.300 0.3760 0,.5706 1,.1320

0,.075 -7,.9251 -6 .7050 -29 .9578 1,.325 0.3368 0,.5274 1..0748

0,.100 -7,.8177 -6,.7210 -29 .2330 1,.350 0.2926 0,.4862 1,.0179

0,.125 -7,.6799 -6,.7452 -28,.3953 1,,375 0.2731 .4483 0,.9666

0,.150 -7,.5282 -6 .7755 -27,.4845 1,,400 0.2396 0,.4114 0,.9136

0,.175 -7,.3563 -6,.8134 -26 .5267 1,,425 0.2199 0,.3840 0,.8617

0,.200 -7,.1769 -6 ,8562 -25,.5470 1,.450 0.1935 0,.3577 0,.8119

0,,225 -6..9853 -6 ,9034 -24,.5563 1,.475 0.1847 0,.3324 0,.7666

0,,250 -6,,7915 -6,,9522 -23,.5656 1,.500 0.1643 0,.3080 0,.7260

0,.275 -6,.5909 -6,.9983 -22,.5777 1,.525 0.1480 0,.2867 0,.6817

0,.300 -6,,3917 -7,,0371 -21,.5990 1,.550 0.1415 0,.2662 0,.6435

0,,325 -6,,1891 -7,,0613 -20,.6323 1,.575 0.1329 0.,2469 0,.6071

0,,350 -5,,9901 -7,,0678 -19,.6786 1,.600 0.1209 0,,2302 0,.5711

0,,375 -5,,7898 -7,,0444 -18,.7377 1,.625 0.1073 0,,2157 0,.5353

0,,400 -5,,5943 -6,,9949 -17,.8140 1,.650 0.1015 0,,2029 0,.5049

0,,425 -5,,3987 -6,,9129 -16,.9063 1,.675 0.0938 0,,1873 0,.4733

0,,450 -5,.2086 -6,.8042 -16,.0165 1,.700 0.0882 0,,1768 0,.4434

0,,475 -5,.0191 -6,.6633 -15,,1437 1,.725 0.0917 0,,1643 0,.4192

0,,500 -4,.8354 -6,.5011 -14,,2910 1,.750 0.0756 0,.1551 0..3931

0,,525 -4,.6528 -6,.3164 -13,,4582 1,.775 0.0729 0,.1461 0,.3739

0,,550 -4,.4762 -6,.1161 -12,.6445 1,.800 0.0672 0,.1352 0,,3499

0,,575 -4,.3011 -5,.8994 -11,.8508 1,.825 0.0590 0..1275 0,.3307

0,,600 -4,.1319 -5,.6734 -11,.0800 1..850 0.0597 0,.1194 0,,3116

0,,625 -3,.9648 -5,.4386 -10,.3302 1..875 0.0543 0,.1134 0,.2936

0,,650 -3,.8032 -5,.1985 -9,.6026 1,.900 0.0483 0,.1058 0,.2727

0,,675 -3,.6438 -4,,9537 -8,.8970 1,.925 0.0496 0,.1009 0,.2539

0,,700 -3,.4905 -4,,7076 -8,,2153 1,.950 0.0448 0,.0955 0,.2346

0,,725 -3,.3393 -4,,4612 -7,.5573 1,.975 0.0382 0,.0926 0,.2141

0,,750 -3,.1942 -4,,2157 -6,.9232 2,.000 0.0399 0,.0895 0..1959

0,,775 -3,.0515 -3.,9727 -6,.3127 2,.025 0.0399 0..0841 0..1796

0,,800 -2,.9148 -3,,7332 -5,.7279 2..050 0.0356 0..0791 0,.1628

0,,825 -2,.7808 -3,,4987 -5.,1685 2,.075 0.0280 0,,0754 0..1476

0.,850 -2,.6525 -3,,2690 -4,,6350 2,,100 0.0301 0,.0722 0,.1346

0.,875 -2,.5161 -3..0410 -4.,1275 2..125 0.0254 0,.0678 0,.1220

0,,900 -2,.3198 -2,.8051 -3.,6431 2,.150 0.0244 0..0630 0,.1088

0.,925 -1,.9732 -2..4314 -3.,1406 2..175 0.0237 0,.0601 0,.0990

0,,950 -1,.4411 -1,.9205 -2,,4930 2,.200 0.0232 0..0551 0,.0893

0,,975 .7915 -1,.1682 -1,.6051 2,.225 0.0230 0..0513 0,.0795

1.,000 _ .1796 _ .3855 . .5845 2,.250 0.0229 0..0484 0,.0714

1,,025 o!.2589 o!.2330 0..3352 2,.275 0.0232 0,.0440 0..0644

1,.050 0..5644 0,.7198 1,.0021 2,.300 0.0218 0..0406 0..0575

1.,075 0..7320 0,.9417 1,.3856 2,.325 0.0224 0..0379 0..0496

1,,100 0,.7811 1..0649 1,.5522 2..350 0.0203 0..0328 0.,0455

1,.125 0,.7827 1..0490 1,.5860 2,.375 0.0222 0..0297 0,,0386

1..150 0..7329 1,.0039 1,.5484 2..400 0.0196 0,.0266 0..0315

1,.175 0,.6675 0,.9202 1,.4781 2,.425 0.0218 0..0240 0..0254

1,.200 0,.6002 0,.8403 1,.4008 2,.450 0.0205 0..0232 0,.0232

1..225 0,.5330 0,.7625 1..3297 2,.475 0.0179 0,.0201 0,.0189

1,.250 0,.4772 0,.6896 1,.2589 2,.500 0.0164 0,.0179 0,.0156

379
DIRECT COEIRELATION FUNCTIONS FOR T* = 2.0

o^J^W = 2.00 p* =0.177 X = 0.5000 e 22/'ll= 2-°°

R*

11 '12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

000

025

050

075

100

125

150

175

200

225

250

-8.0537

-8.0060

•7.9188

8105

6732

5209

3495

1698

9787

7846

-6.5845

6.3849

,1828

,9835

,7836

,5878

,3925

,2021

,0130

-4.8291

-4.6469

-4.4702

-4.2955

,1264

,9595

,7982

,6391

,4860

,3351

.1902

3.0477

-2.9114

-2.7776

-2.6496

-2.5131

-2.3162

-1.9646

-1.4205

-.7791

-.1728

0.2796

0.5851

0.7502

0.8059

0.7923

0.7433

0.6832

0.6194

0.5469

0.4863

7191

6898

6952

7106

7346

7650

8032

8463

8937

9429

9893

0285

0531

0600

0370

9881

9066

7986

6.6584

6.4968

,3130

,1135

,8977

,6726

.4388

.1998

.9562

.7113

•4.4662

4.2219

3.9802

3.7419

.5087

.2803

.0535

.8186

.4476

.9399

.1884

-.4144

0.2089

0.6919

0.9122

1.0271

1.0178

0.9737

0.8946

0.8155

0.7352

0.6602

30.8041

30.4433

29.8788

29.1570

28.3243

27.4165

26.4637

25.4880

24.5023

23.5166

22.5337

21.5620

20.6013

19.6536

18.7197

17.8030

16.9023

16.0205

15.1547

14.3100

13.4842

12.6785

11.8928

11.1290

10.3872

-9.6667

-8.9683

-8.2937

-7.6424

-7.0149

-6.4108

-5.8322

-5.2788

-4.7509

-4.2487

-3.7695

-3.2714

-2.6281

-1.7448

-.7254

0.1909

0.8521

1.2349

1.3965

1.4314

1.3902

1.3229

1.2478

1.1705

1.1001

275

300

325

350

375

1.400

1.425

1.450

1.475

1.500

1.525

550

575

600

625

650

675

1.700

1.725

1.750

1.775

800

825

850

875

900

925

950

975

000

2.025

,050

,075

,100

,125

,150

,175

,200

,225

,250

,275

,300

325

,350

,375

,400

,425

,450

,475

,500

0.4306

0.3783

0.3402

0.3073

0.2764

0.2466

0.2273

0.2097

0.1882

0.1687

0.1542

0.1453

0.1285

0.1238

0.1151

0.1074

0.0966

0.0907

0.0845

0.0773

0.0749

0.0707

0.0620

0.0600

0.0552

0.0503

0.0513

0.0424

0.0411

0.0378

0.0350

0.0316

0.0318

0.0269

0.0249

0.0253

0.0202

0.0199

0.0186

0.0186

0.0188

0.0174

0.0169

0.0168

0.0182

0.0154

0.0158

0.0136

0.0137

0.0132

0.5972

0.5379

0.4929

0.4488

0.4142

0.3792

0.3517

0.3240

0.2995

0.2748

0.2551

0.2330

0.2165

0.2009

0.1859

0.1709

0.1581

0.1467

0.1352

0.1261

0.1169

0.1088

0.1005

0.0934

0.0868

0.0820

0.0768

0.0718

0.0687

0.0640

0.0615

0.0581

0.0553

0.0523

0.0486

0.0458

0.0433

0.0389

0.0356

0.0324

0.0294

0.0255

0.0236

0.0212

0.0188

0.0175

0.0136

0.0120

0.0104

0.0097

1.0385

0.9791

0.9247

0.8706

0.8177

0.7704

0.7214

0.6755

0.6329

0.5935

0.5569

0.5230

0.4905

0.4599

0.4294

0.4032

0.3776

0.3544

0.3316

0.3109

0.2944

0.2778

0.2614

0.2470

0.2315

0.2164

0.2015

0.1861

0.1711

0.1584

0.1441

0.1310

0.1187

0.1076

0.0967

0.0874

0.0799

0.0710

0.0640

0.0567

0.0512

0.0449

0.0397

0.0348

0.0302

0.0261

0.0221

0.0192

0.0144

0.0117

380-
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

^22/^^11 = 2.00 p* =0. 257 ^r 0.7500 ^22/^ir 2.00

R* "11 "12 "22 R* "11 "12 "22

025 -7 0751 -5 4604 -25 7251 275 0.4249 0.6003 1 0234

050 -7 0292 -5 4512 -25 3892 300 0.3791 0.5456 9642

075 -6 9495 -5 4616 -24 8698 325 0.3414 0.4973 8992

100 -6 8459 -5 4795 -24 2140 350 0.3054 0.4536 8430

125 -6 7191 -5 5053 -23 4622 375 0.2754 0.4154 7960

150 -6 5767 -5 5371 -22 6515 400 0.2497 0.3802 7400

175 -6 4204 -5 5764 -21 8067 425 0.2253 0.3482 6889

200 -6 2558 -5 6210 -20 9480 450 0.2046 0.3209 6452

225 -6 0840 -5 6712 -20 0863 475 0.1873 0.2963 6046

250 -5 9091 -5 7245 -19 2295 500 0.1716 0.2717 5673

275 -5 7313 -5 7773 -18 3818 525 0.1576 0.2498 5283

300 -5 5537 -5 8254 -17 5470 550 0.1432 0.2306 4969

325 -5 3757 -5 8617 -16 7272 575 0.1318 0.2132 4635

350 -5 2000 -5 8827 -15 9235 600 0.1208 0.1978 4423

375 -5 0252 -5 8777 -15 1348 625 0.1125 0.1832 4104

400 -4 8537 -5 8492 -14 3660 650 0.1031 0.1691 3815

425 -4 6839 -5 7906 -13 6142 675 0.0967 0.1562 3626

450 -4 5180 -5 7079 -12 8804 700 0.0872 0.1460 3393

475 -4 3542 -5 5968 -12 1648 725 0.0801 0.1368 3176

500 -4 1947 -5 4663 -11 4680 750 0.0745 0.1282 2959

525 -4 0374 -5 3155 -10 7892 775 0.0676 0.1186 2793

550 -3 8846 -5 1508 -10 1294 800 0.0636 0.1109 2588

575 -3 7342 -4 9720 -9 4880 825 0.0587 0.1044 2413

600 -3 5885 -4 7848 -8 8657 850 0.0540 0.0949 2256

625 -3 4453 -4 5896 -8 2623 875 0.0511 0.0894 2116

650 -3 3066 -4 3898 -7 6777 900 0.0439 0.0826 1964

675 -3 1705 -4 1861 -7 1116 925 0.0409 0.0776 1832

700 -3 0392 -3 9811 -6 5654 950 0.0392 0.0763 1655

725 -2 9105 -3 7758 -6 0387 975 0.0356 0.0711 1576

750 -2 7866 -3 5712 -5 5315 2 000 0.0308 0.0668 1445

775 -2 6653 -3 3689 -5 0436 2 025 0.0287 0.0620 1351

800 -2 5490 -3 1697 -4 5766 2 050 0.0293 0.0570 1263

825 -2 4355 -2 9747 -4 1303 2 075 0.0274 0.0546 1166

850 -2 3265 -2 7839 -3 7053 2 100 0.0256 0.0508 1035

875 -2 2107 -2 5948 -3 3016 2 125 0.0242 0.0480 0936

900 -2 0448 -2 3994 -2 9174 2 150 0.0203 0.0438 0866

925 -1 7352 -2 0852 -2 5227 2 175 0.0198 0.0418 0765

950 -1 2581 -1 6538 -2 0218 2 200 0.0201 0.0376 0659

975 6929 -1 0041 -1 3367 2 225 0.0171 0.0347 0608

1 000 _ 1601 . 3246 - 5349 2 250 0.0150 0.0315 0554

1 025 2604 2268 2130 2 275 0.0168 0.0290 0468

1 050 5362 6612 7827 2 300 0.0152 0.0247 0428

1 075 6814 8638 1230 2 325 0.0119 0.0235 0379

1 100 7417 9779 2962 2 350 0.0126 0.0211 0350

1 125 7364 9767 3489 2 375 0.0118 0.0203 0271

1 150 6993 9392 3316 2 400 0.0121 0.0193 0251

1 175 6452 8751 2870 2 425 0.0120 0.0163 0226

1 200 5907 8029 2178 2 450 0.0109 0.0142 0183

1 225 5263 7295 1501 2 475 0.0096 0.0132 0175

1 250 .4752 6622 0911 2 500 0.0071 0.0104 0155

-381-
a.n^^'ii = 2.00 p* =0. 257 ^r 0.75()0 ^22/^ir 2.00

R* ^11 ^12 ^22 R* ^11 ^12 ^22

025 -7 .0711 -5 .4234 -25 6931 1 .275 0.4231 0.5861 .9135

050 -7 .0244 -5 .4225 -25 3592 1 300 0.3762 0.5277 .8566

075 -6 .9441 -5 .4352 -24 8418 1 .325 0.3385 0.4814 .7959

100 -6 8404 -5 .4544 -24 1870 1 .350 0.3008 0.4361 .7396

125 -6 7132 -5 .4810 -23 4382 1 .375 0.2713 0.3988 .6889

150 -6 5708 -5 5136 -22 6305 1 400 0.2468 0.3642 6375

175 -6 4141 -5 5536 -21 7887 1 .425 0.2200 0.3327 .5913

200 -6 2493 -5 5991 -20 9330 1 .450 0.2022 0.3035 .5491

225 -6 0771 -5 6503 -20 0753 1 .475 0.1839 0.2784 .5117

250 -5 9020 -5 7045 -19 2215 1 500 0.1675 0.2541 .4763

275 -5 7239 -5 7584 -18 3778 1 525 0.1533 0.2312 4453

300 -5 5461 -5 8076 -17 5470 1 550 . 1400 0.2121 4126

325 -5 3681 -5 8451 -16 7302 1 575 0.1274 0.1958 3819

350 -5 1921 -5 8672 -15 9305 1 600 0.1169 0.1809 3590

375 -5 0174 -5 8633 -15 1468 1 625 0.1100 0.1671 3364

400 -4 8457 -5 8360 -14 3820 1 650 0.0996 0.1540 3111

425 -4 6761 -5 7784 -13 6352 1 675 0.0944 0.1424 2907

450 -4 5101 -5 6968 -12 9064 1 700 0.0835 0.1327 2689

475 -4 3466 -5 5868 -12 1958 1 725 0.0771 0.1236 2514

500 -4 1870 -5 4574 -11 5040 1 750 0.0685 0.1145 2337

525 -4 0300 -5 3077 -10 8302 1 775 0.0645 0.1055 2178

550 -3 8772 -5 1441 -10 1754 1 800 0.0561 0.0991 2018

575 -3 7271 -4 9664 -9 5387 1 825 0.0525 0.0921 1889

600 -3 5814 -4 7804 -8 9210 1 850 0.0477 0.0849 1744

625 -3 4385 -4 5864 -8 3219 1 875 0.0452 0.0805 1635

650 -3 2998 -4 3877 -7 7415 1 900 0.0407 0.0739 1517

675 -3 1640 -4 1852 -7 1793 1 925 0.0375 0.0685 1399

700 -3 0328 -3 9814 -6 6368 1 950 0.0335 0.0641 1297

725 -2 9044 -3 7772 -6 1135 1 975 0.0311 0.0591 1188

750 -2 7805 -3 5737 -5 6097 2 000 0.0297 0.0541 1074

775 -2 6597 -3 3725 -5 1252 2 025 0.0274 0.0512 1006

800 -2 5435 -3 1743 -4 6613 2 050 0.0260 0.0472 0924

825 -2 4304 -2 9803 -4 2181 2 075 0.0228 0.0441 0844

850 -2 3215 -2 7905 -3 7959 2 100 0.0214 0.0418 0766

875 -2 2059 -2 6024 -3 3950 2 125 0.0198 0.0384 0681

900 -2 0384 -2 4076 -3 0132 2 150 0.0182 0.0360 0632

925 -1 7313 -2 0954 -2 6202 2 175 0.0180 0.0328 0573

950 -1 2595 -1 6655 -2 1234 2 200 0.0165 0.0301 0523

975 - 6947 -1 0143 -1 4415 2 225 0.0154 0.0272 0457

1 000 - 1557 - 3361 . 6445 2 250 0.0150 0.0256 0416

1 025 2653 2197 1032 2 275 0.0107 0.0221 0363

1 050 5316 6481 6628 2 300 0.0109 0.0212 0311

1 075 6811 8542 1 0059 2 325 0.0104 0.0192 0288

1 100 7393 9656 1 1820 2 350 0.0082 0.0167 0237

1 125 7388 9650 1 2292 2 375 0.0098 0.0152 0219

1 150 7068 9249 1 2167 2 400 0.0070 0.0143 0194

1 175 6517 8589 1 1715 2 425 0.0069 0.0121 0. 0150

1 200 5906 7838 1 1087 2 450 0.0060 0.0097 0. 0131

1 225 5278 7131 1 0415 2 475 0.0060 0.0085 0. 0111

1 250 4737 6452 9811 2 500 0.0043 0.0077 0. 0077

382
DIRECT CORRELATION FUNCTIONS FOR T* = 2.0

^^22/^11 = 2.00 p* =0.332 x^= 0.9001 'll^'ll

2.00

R*

11 12 '22 R* '11 '12 '22

025 -5 .4360 -3 7061 -17 8290 1 275 4172 5585 7626

050 -5 .3961 -3 7119 -17 5572 1 300 3739 5010 7082

075 -5 3310 -3 7254 -17 1409 1 325 3349 4551 6501

100 -5 2456 -3 7444 -16 6170 1 350 3016 4107 5934

125 -5 .1432 -3 7703 -16 0242 1 375 2718 3718 5434

150 -5 0281 -3 8019 -15 3914 1 400 2451 3352 4937

175 -4 9037 -3 8401 -14 7398 1 425 2201 3041 4590

200 -4 7730 -3 8839 -14 0850 1 450 2015 2753 4150

225 -4 6384 -3 9338 -13 4362 1 475 1832 2503 3866

250 -4 5017 -3 9875 -12 7984 1 500 1681 2263 3579

275 -4 3645 -4 0424 -12 1738 1 525 1514 2052 3269

300 -4 2277 -4 0948 -11 5670 1 550 1368 1875 3023

325 -4 0922 -4 1392 -10 9772 1 575 1265 1692 2773

350 -3 9584 -4 1719 -10 4063 1 600 1140 1563 2583

375 -3 8270 -4 1846 -9 8523 1 625 1057 1436 2363

400 -3 6978 -4 1787 -9 3169 1 650 0953 1308 2146

425 -3 5715 -4 1486 -8 7992 1 675 0869 1206 1947

450 -3 4478 -4 0992 -8 2984 1 700 0790 1103 1778

475 -3 3269 -4 0280 -7 8139 1 725 0717 1007 1632

500 -3 2090 -3 9415 -7 3459 1 750 0665 0931 1545

525 -3 0939 -3 8390 -6 8937 1 775 0611 0854 1400

550 -2 9818 -3 7260 -6 4569 1 800 0555 0793 1325

575 -2 8725 -3 6024 -6 0344 1 825 0518 0723 1241

600 -2 7662 -3 4726 -5 6271 1 850 0477 0650 1114

625 -2 6627 -3 3368 -5 2343 1 875 0423 0610 1040

650 -2 5622 -3 1977 -4 8556 1 900 0391 0558 0930

675 -2 4645 -3 0560 -4 4907 1 925 0377 0514 0905

700 -2 3697 -2 9136 -4 1401 1 950 0346 0452 0761

725 -2 2778 -2 7709 -3 8035 1 975 0312 0411 0767

750 -2 1888 -2 6290 -3 4809 2 000 0278 0368 0677

775 -2 1026 -2 4890 -3 1719 2 025 0248 0341 0582

800 -2 0194 -2 3513 -2 8775 2 050 0228 0309 0561

825 -1 9390 -2 2166 -2 5973 2 075 0220 0293 0540

850 -1 8613 -2 0852 -2 3315 2 100 0199 0264 0458

875 -1 7783 -1 9549 -2 0800 2 125 0187 0240 0459

900 -1 6515 -1 8193 -1 8420 2 150 0171 0214 0420

925 -1 4085 -1 5891 -1 5998 2 175 0142 0197 0369

950 -1 0196 -1 2604 -1 2904 2 200 0129 0175 0396

975 . 5472 7449 _ 8539 2 225 0119 0166 0300

1 000 _ 0962 _ 1978 _ 3287 2 250 0114 0149 0263

1 025 2638 2612 2005 2 275 0107 0138 0241

1 050 4994 6219 6124 2 300 0096 0118 0213

1 075 6357 8040 8685 2 325 0089 0105 0215

1 100 6902 9080 1 0073 2 350 0073 0085 0199

1 125 6923 9084 1 0589 2 375 0057 0087 0135

1 150 6644 8775 1 0445 2 400 0051 0073 0099

1 175 6199 8149 1 0052 2 425 0035 0063 0095

1 200 5688 7497 9603 2 450 0026 0048 0072

1 225 5137 6831 8950 2 475 0030 0041 0105

1 250 4634 6174 8329 2 500 0026 0029 0077

-383
^22/^^11 = 2.00 p* =0. 339 \= 0.9502 ^22/^1= 2.00

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0,.025 -4,.3320 -2.,7758 -13 .3620 1.275 0.4067 0.5441 .7208

0,.050 -4,.2999 -2,,7828 -13 ,1401 1.300 0.3651 0.4895 .6697

0,,075 -4 .2474 -2 ,7956 -12 .7989 1.325 0.3274 0.4409 .6077

0,.100 -4,.1792 -2 .8129 -12 ,3740 1.350 0.2956 0.3983 ,5552

0,.125 -4,.0972 -2,,8365 -11 ,8931 1.375 0.2661 0.3591 .5086

0,.150 -4,.0058 -2,,8652 -11 ,3823 1.400 0.2400 0.3253 .4595

0,.175 -3,.9070 -2,,8998 -10 ,8588 1.425 0.2168 0.2933 .4140

0,.200 -3 ,8039 -2,,9394 -10 ,3360 1.450 0.1955 0.2656 ,3814

0,.225 -3,,6979 -2,,9848 -9 ,8214 1.475 0.1763 0.2408 ,3562

0,.250 -3,,5910 -3,,0336 -9 ,3189 1.500 0.1610 0.2163 ,3309

0,.275 -3,,4838 -3,,0840 -8 ,8309 1.525 0.1455 0.1987 ,3086

0,.300 -3,,3775 -3,,1329 -8 .3598 1.550 0.1315 0.1797 ,2783

0,.325 -3,,2724 -3,,1757 -7..9057 1.575 0.1190 0.1649 ,2505

0,.350 -3,,1692 -3,,2093 -7..4686 1.600 0.1085 0.1501 ,2385

0,.375 -3,,0680 -3,,2269 -7..0477 1.625 0.0982 0.1397 ,2129

0..400 -2,,9690 -3.,2296 -6 .6437 1.650 0.0890 0.1283 ,2001

0,.425 -2,,8723 -3.,2126 -6,.2555 1.675 0.0810 0.1171 ,1810

0,.450 -2,,7781 -3.,1803 -5..8824 1.700 0.0730 0.1082 ,1662

0,.475 -2,,6862 -3,,1304 -5..5234 1.725 0.0659 0.0997 ,1548

0,.500 -2,.5968 -3.,0685 -5..1787 1.750 0.0598 0.0922 ,1322

0,.525 -2,.5099 -2.,9938 -4,,8473 1.775 0.0552 0.0837 ,1343

0,.550 -2..4254 -2,,9107 -4,,5287 1.800 0.0484 0.0772 0,,1110

0,.575 -2,.3432 -2,,8195 -4,,2220 1.825 0.0459 0.0708 0,,1056

0.,600 -2,.2635 -2.,7235 -3.,9278 1.850 0.0410 0.0647 0,,0908

0..625 -2,.1860 -2.,6229 -3.,6452 1.875 0.0383 0.0600 0,,0829

0,.650 -2,.1110 -2.,5199 -3.,3740 1.900 0.0348 0.0549 0,,0790

0,.675 -2,.0381 -2,,4150 -3.,1136 1.925 0.0319 0.0493 0,,0696

0..700 -1,.9677 -2.,3096 -2,,8645 1.950 0.0293 0.0443 0,,0620

0,.725 -1,.8994 -2,,2041 -2,,6263 1.975 0.0264 0.0403 0.,0588

0,.750 -1,.8335 -2.,0995 -2.,3987 2.000 0.0236 0.0369 0.,0586

0,.775 -1,.7697 -1

,

,9963 -2.,1816 2.025 0.0227 0.0344 0.,0464

0,.800 -1,.7082 -

]_ ,8948 -1,,9756 2.050 0.0197 0.0312 0.,0423

0..825 -1,.6489 . ]_ ^.7959 -1,.7802 2.075 0.0188 0.0287 0,,0387

0..850 -1,.5915 . 1 ^,6995 -1,,5955 2.100 0.0166 0.0255 0..0410

0,.875 -1,.5294 -1

,

,6033 -1,,4217 2.125 0.0150 0.0229 0,.0320

0,.900 -1,.4286 . 1

,

,5017 -1,.2580 2.150 0.0138 0.0200 0,.0305

0,.925 -1,.2245 -1 ,,3169 -1,.0872 2.175 0.0119 0.0189 0..0314

0,.950 ,8879 -1

,

,0450 _ .8615 2.200 0.0112 0.0168 0..0253

0..975 ,4741 ,6002 .5320 2.225 0.0100 0.0144 0..0301

.000 . ,0670 - ,1202 . .1141 2:250 0.0085 0.0132 0..0277

.025 o'.,2601 o!,2910 o'..3144 2.275 0.0072 0.0113 0..0276

.050 0,,4807 0.,6186 0,.6334 2.300 0.0070 0.0089 0,.0235

.075 0,,6086 0.,7815 0..8710 2.325 0.0061 0.0093 0..0152

.100 0,,6582 0..8700 0..9903 2.350 0.0048 0.0071 0. 0165

.125 0,,6648 0..8756 1..0246 2.375 0.0035 0.0052 0. 0132

.150 0.,6386 0,.8523 1..0118 2.400 0.0036 0.0042 0. 0102

1

,

.175 0.,5992 0,.7954 0,.9700 2.425 0.0027 0.0033 0. 0080

.200 0,,5499 0..7303 0,.9165 2.450 0.0022 0.0013 0. 0031

.225 0.,4992 0..6644 0..8594 2.475 0.0007 0.0014 0. 0018

J, ..250 0.,4529 0..5983 0..7876 2.500 0.0004 0.0015 0. 0087

384
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

a /a^^ =2.00 p* =0.076 x = 0.0498 ^22/^ir °-50

R* '11 '12 '22 R* '11 '12 '22

025 -2 .7094 -2 .6369 -5 8718 1 275 .2577 1757 1311

050 -2 .7014 -2 .6371 -5 8333 1 300 .3696 1616 1185

075 -2 .6892 -2 .6392 -5 7716 1 325 .3241 1484 1098

100 -2 6726 -2 6420 -5 6899 1 350 .0756 1338 0992

125 -2 6521 -2 6455 -5 5915 1 375 .1017 1141 0926

150 -2 .6281 -2 6490 -5 4802 1 400 .2221 1085 0854

175 -2 .6010 -2 6520 -5 3588 1 425 .1400 1016 0788

200 -2 5713 -2 6538 -5 2302 1 450 .0925 0895 0729

225 -2 5395 -2 6540 -5 0964 1 475 .0474 0808 0668

250 -2 5058 -2 6520 -4 9593 1 500 .0301 0679 0623

275 -2 4709 -2 6461 -4 8200 1 525 .1082 0606 0561

300 -2 4348 -2 6368 -4 6797 1 550 .0825 0601 0530

325 -2 3981 -2 6232 -4 5391 1 575 .1735 0542 0490

350 -2 3606 -2 6057 -4 3989 1 600 .0386 0429 0436

375 -2 3230 -2 5827 -4 2594 1 625 .1206 0416 0395

400 -2 2850 -2 5559 -4 1211 1 650 . .0218 0401 0376

425 -2 2472 -2 5251 -3 9843 1 675 .0525 0399 0354

450 -2 2093 -2 4909 -3 8493 1 700 .0612 0320 0337

475 -2 1718 -2 4528 -3 7159 1 725 .0277 0309 0304

500 -2 1344 -2 4123 -3 5848 1 750 - .0383 0320 0289

525 -2 0975 -2 3696 -3 4558 1 775 .0586 0253 0270

550 -2 0608 -2 3251 -3 3292 1 800 .0816 0210 0268

575 -2 0247 -2 2785 -3 2048 1 825 .0279 0217 0250

600 -1 9889 -2 2311 -3 0831 1 850 . .0053 0219 0219

625 -1 9538 -2 1828 -2 9640 1 875 .0036 0176 0198

650 -1 9190 -2 1339 -2 8477 1 900 .0147 0175 0197

675 -1 8849 -2 0845 -2 7340 1 925 .0396 0162 0186

700 -1 8512 -2 0350 -2 6234 1 950 0077 0095 0156

725 -1 8182 -1 9858 -2 5158 1 975 - 0133 0112 0172

750 -1 7856 -1 9366 -2 4113 2 000 . .0045 0152 0151

775 -1 7539 -1 8878 -2 3097 2 025 0518 0106 0120

800 -1 7224 -1 8395 -2 2092 2 050 - 0055 0113 0136

825 -1 6919 -1 7845 -2 0913 2 075 - 0516 0107 0138

850 -1 6540 -1 7131 -1 9077 2 100 - 0233 0138 0115

875 -1 5747 -1 5518 -1 6138 2 125 . 0236 0063 0101

900 -1 4464 -1 3073 -1 2298 2 150 - 0280 0033 0097

925 -1 1681 . 9622 - 8362 2 175 . 0537 0074 0088

950 _ 7754 _ 6029 _ 4811 2 200 - 0341 0120 0065

975 _ 2524 . 2895 . 2112 2 225 - 0494 0048 0068

1 000 _ 0895 _ 0331 - 0253 2 250 - 0339 0070 0065

1 025 3579 1214 0947 2 275 - 0304 0065 0070

1 050 3824 2399 1570 2 300 - 0274 0040 0055

1 075 4229 2818 1942 2 325 - 0383 0051 0051

1 100 5651 3046 2028 2 350 . 0474 0045 0042

1 125 6808 3004 2032 2 375 0160 0066 0035

1 150 3681 2951 1931 2 400 - 0418 0074 0047

1 175 5897 2788 1822 2 425 - 0725 0023 0037

1 200 6239 2573 1691 2 450 - 0222 - 0002 0029

1 225 4184 2279 1571 2 475 - 0801 0001 0028

1 250 2928 1931 1411 2 500 0168 - 0004 0015

385
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

^22/^^11 = 2.00 p* =0. 078 ^r 0.0999 ^22/^1= 0.50

R* ^11 ^12 <'22 R* ^11 ^12 ^22

0.025 -2 .6895 -2.6014 -5 .8239 1.275 0.3015 0.1882 0.1316

0.050 -2 .6812 -2.6026 -5 .7852 1.300 0.2221 0.1660 0.1238

0.075 -2 .6694 -2.6051 -5 .7234 1.325 0.1760 0.1497 0.1106

0.100 -2 .6526 -2.6082 -5 .6416 1.350 0.1876 0.1487 0.1062

0.125 -2 .6324 -2.6118 -5 .5433 1.375 0.1952 0.1258 0.0974

0.150 -2,.6083 -2.6157 -5 .4321 1.400 0.1976 0.1069 0.0873

0.175 -2 .5814 -2.6189 -5 .3109 1.425 0.1188 0.1020 0.0833

0.200 -2,.5517 -2.6211 -5 .1827 1.450 0.1000 0.0913 0.0801

0.225 -2,.5200 -2.6217 -5 .0495 1.475 0.1009 0.0818 0.0726

0.250 -2,.4865 -2.6202 -4 .9131 1.500 0.1144 0.0715 0.0656

0.275 -2 .4518 -2.6148 -4 .7745 1.525 0.0856 0.0664 0.0627

0.300 -2 .4158 -2.6060 -4 .6351 1.550 0.0130 0.0584 0.0577

0.325 -2,.3792 -2.5930 -4 .4955 1.575 -.0001 0.0644 0.0542

0.350 -2 .3419 -2.5761 -4,.3564 1.600 0.0095 0.0565 0.0501

0.375 -2 .3045 -2.5537 -4,.2180 1.625 0.0626 0.0481 0.0470

0.400 -2,.2667 -2.5275 -4 .0810 1.650 0.0242 0.0380 0.0443

0.425 -2 .2291 -2.4973 -3 .9454 1.675 0.0351 0.0396 0.0441

0.450 -2,.1913 -2.4637 -3 .8117 1.700 -.0073 0.0385 0.0380

0.475 -2 .1540 -2.4262 -3 .6796 1.725 -.0084 0.0325 0.0364

0.500 -2,.1167 -2.3863 -3,,5498 1.750 0.0024 0.0284 0.0331

0.525 -2,.0801 -2.3441 -3,.4221 1.775 0.0244 0.0257 0.0315

0.550 -2,.0435 -2.3001 -3,,2968 1.800 -.0358 0.0224 0.0308

0.575 -2,.0076 -2.2542 -3.,1737 1.825 -.0075 0.0236 0.0284

0.600 -1,.9719 -2.2073 -3,,0532 1.850 -.0376 0.0179 0.0266

0.625 -1,.9371 -2.1596 -2,,9354 1.875 -.0355 0.0208 0.0235

0.650 -1,.9024 -2.1113 -2.,8203 1.900 -.0059 0.0181 0.0226

0.675 -1,.8687 -2.0625 -2,,7078 1.925 -.0046 0.0140 0.0201

0.700 -1..8351 -2.0137 -2,,5983 1.950 0.0098 0.0160 0.0201

0.725 -1,,8025 -1.9650 -2,,4917 1.975 -.0179 0.0138 0.0185

0.750 -1,,7700 -1.9165 -2.,3883 2.000 0.0202 0.0083 0.0172

0.775 -1,,7387 -1.8683 -2,,2877 2.025 -.0131 0.0109 0.0164

0.800 -1,,7074 -1.8206 -2,,1879 2.050 -.0050 0.0062 0.0147

0.825 -1,,6773 -1.7661 -2,,0716 2.075 - . 0444 0.0112 0.0146

0.850 -1.,6445 -1.6969 -1,,8902 2.100 -.0032 0.0089 0.0129

0.875 -1,,5714 -1.5297 -1,,5991 2.125 -.0174 0.0041 0.0118

0.900 -1.,4092 -1.2945 -1,,2227 2.150 0.0201 0.0090 0.0112

0.925 -1,,1432 -.9538 ,8235 2.175 0.0013 0.0065 0.0103

0.950 ,7402 -.5953 . ,4780 2.200 0.0145 0.0100 0.0094

0.975 .4446 -.2878 . .2112 2.225 -.0098 0.0109 0.0086

1.000 - ,0643 -.0435 . .0243 2.250 -.0473 0.0059 0.0098

1.025 o'.,2506 0.1275 o'..0954 2.275 0.0145 0.0077 0.0085

1.050 0.,3078 0.2495 0,.1626 2.300 0.0215 0.0123 0.0060

1.075 0,,3051 0.2838 0..1972 2.325 0.0138 0.0066 0.0059

1.100 0,,4023 0.3057 0..2074 2.350 -.0046 0.0059 0.0061

1.125 0,,4996 0.3223 0,.2051 2.375 -.0144 0.0043 0.0055

1.150 0,,4297 0.3119 0,.1975 2.400 0.0169 0.0043 0.0043

1.175 0,,3079 0.2766 0,.1863 2.425 0.0127 0.0041 0.0022

1.200 0.,3815 0.2542 0..1712 2.450 0.0179 0.0063 0.0043

1.225 0,,3519 0.2324 0,.1610 2.475 -.0038 0.0030 0.0032

1.250 0,.2544 0.2076 0,,1440 2.500 0.0161 -.0001 0.0027

386-
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

a /a =2.00 p* =0.087 x = 0.2500 e 11^^11 0.50

R* '11 '12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

.6233

,6153

.6030

.5859

.5650

.5406

.5133

.4834

.4517

2.4182

2.3837

.3482

.3122

,2755

,2389

,2018

,1652

,1284

0922

0558

0203

9847

9501

9155

8819

8482

8158

7832

,7519

7206

1.6905

1.6605

1.6316

1.5936

1.5295

1.3746

1.0795

-.7413

-.3464

-.0254

0.2143

0.3516

0.4355

0.4896

0.5168

0.4597

0.4431

0.4160

0.3679

0.3061

2.4919

2.4938

2.4964

2.4997

,5036

,5078

,5117

,5148

,5164

,5164

,5128

,5059

,4950

,4800

4598

2.4358

2.4077

2.3762

2.3409

2.3032

2.2631

2213

1775

1328

0872

•2.0411

1.9945

1.9477

9012

8548

8087

7630

7117

1.6448

1.4847

1.2528

-.9179

-.5730

-.2755

-.0308

0.1298

0.2448

0.2832

0.3131

0.3108

0.3075

0.2858

0.2603

0.2409

0.2170

,6451

,6064

,5446

,4630

3654

2554

1359

0098

8790

-4.7455

4.6100

4.4740

4.3380

4.2027

4.0683

3.9353

3.8040

3.6745

3.5468

3.4214

3.2981

.1773

.0587

.9427

.8293

.7187

.6106

.5054

.4032

.3040

,2076

,1122

,0008

,8265

,5440

,1831

-.7992

-.4646

-.2029

-.0214

0.0952

0.1584

0.2008

0.2096

0.2125

0.2037

0.1929

0.1768

0.1627

0.1488

1.275

1.300

1.325

1.350

1.375

1.400

1.425

450

475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

850

875

900

1.925

1.950

1.975

,000

,025

,050

,075

,100

,125

,150

,175

,200

225

,250

,275

300

,325

,350

375

2.400

2.425

2.450

2.475

2.500

0.2938

0.2465

0.2521

0.2076

0.1794

0.1585

0.1461

0.1359

0.1238

0.1106

0.1150

0.1078

0.0737

0.0807

0.0544

0.0533

0.0480

0.0576

0.0431

0.0486

0.0451

0.0258

0.0147

0.0271

0.0403

0.0225

0.0276

0.0121

0.0249

0.0240

0.0108

0.0326

0.0090

0.0019

0.0163

0.0254

0.0087

0.0119

-.0017

0.0131

0.0048

0.0094

0.0064

-.0053

0.0011

0.0065

-.0026

0.0078

0.0022

-.0033

0.1983

0.1795

0.1631

0.1436

0.1324

0.1194

0.1086

0.0972

0.0875

0.0793

0.0757

0.0673

0.0638

0.0569

0.0523

0.0476

0.0445

0.0437

0.0373

0.0354

0.0310

0.0286

0.0264

0.0303

0.0280

0.0275

0.0231

0.0235

0.0202

0.0188

0.0196

0.0158

0,0174

0.0154

0.0145

0.0121

0.0132

0.0153

0.0131

0.0103

0.0095

0.0067

0.0076

0.0082

0.0054

0.0056

0.0042

0.0029

0.0042

0.0057

0.1395

0.1294

0.1164

0.1110

0.1033

0.0965

0.0892

0.0811

0.0774

0.0715

0.0665

0.0653

0.0619

0.0541

0.0522

0.0488

0.0423

0.0433

0.0390

0.0379

0.0369

0.0346

0.0334

0.0308

0.0285

0.0270

0.0255

0.0247

0.0230

0.0218

0.0200

0.0201

0.0177

0.0164

0.0167

0.0146

0.0145

0.0140

0.0117

0.0114

0.0108

0.0101

0.0112

0.0081

0.0085

0.0084

0.0066

0.0071

0.0052

0.0043

387
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

.22/-n - 2.00 p* =0. 105 x^= 0.5000 ^22/^11= 0.50

R* ^11 "12 "22 R* "11 "12 "22

0.025 -2.4595 -2.2414 -5.1851 1.275 0.3008 0.1907 0. 1389

0.050 -2.4513 -2.2436 -5.1468 1.300 0.2725 0.1715 0. 1344

0.075 -2.4384 -2.2468 -5.0860 1.325 0.2432 0.1580 0. 1194

0.100 -2.4206 -2.2508 -5.0063 1.350 0.2252 . 1444 0. 1101

0.125 -2.3992 -2.2558 -4.9118 1.375 0.1851 0.1272 0. 1042

0.150 -2.3742 -2.2614 -4.8061 1.400 0.1806 0.1166 0. 0944

0.175 -2.3468 -2.2673 -4.6921 1.425 0.1556 0.1046 0. 0864

0.200 -2.3169 -2.2728 -4.5726 1.450 0.1363 0.0961 0,,0802

0.225 -2.2857 -2.2775 -4.4495 1.475 0.1145 0.0887 0.,0743

0.250 -2.2529 -2.2808 -4.3245 1.500 0.1184 0.0801 0.,0702

0.275 -2.2195 -2.2813 -4.1983 1.525 0.1002 0.0716 0.,0632

0.300 -2.1851 -2.2789 -4.0721 1.550 0.0996

' 0.0643 0.,0619

0.325 -2.1508 -2.2725 -3.9465 1.575 0.0793 0.0613 0,,0596

0.350 -2.1158 -2.2624 -3.8219 1.600 0.0599 0.0541 0.,0570

0.375 -2.0813 -2.2472 -3.6985 1.625 0.0670 0.0486 0.,0526

0.400 -2.0464 -2.2282 -3.5768 1.650 0.0612 0.0455 0,,0492

0.425 -2.0122 -2.2051 -3.4570 1.675 0.0489 0.0417 0,,0488

0.450 -1.9779 -2.1787 -3.3392 1.700 0.0445 0.0428 0.,0452

0.475 -1.9443 -2.1485 -3.2233 1.725 0.0406 0.0384 0.,0431

0.500 -1.9108 -2.1160 -3.1098 1.750 0.0356 0.0349 0.,0407

0.525 -1.8781 -2.0811 -2.9985 1.775 0.0271 0.0324 0,,0359

0.550 -1.8456 -2.0445 -2.8897 1.800 0.0330 0.0277 0.,0328

0.575 -1.8139 -2.0061 -2.7831 1.825 0.0301 0.0249 0,.0331

0.600 -1.7825 -1.9667 -2.6791 1.850 0.0353 0.0265 0,,0304

0.625 -1.7519 -1.9266 -2.5776 1.875 0.0267 0.0228 0,.0290

0.650 -1.7217 -1.8858 -2.4787 1.900 0.0290 0.0229 0,.0284

0.675 -1.6922 -1.8447 -2.3823 1.925 0.0226 0.0206 0,.0228

0.700 -1.6632 -1.8034 -2.2886 1.950 0.0250 0.0174 0,.0260

0.725 -1.6349 -1.7623 -2.1976 1.975 0.0198 0.0171 0,.0205

0.750 -1.6071 -1.7213 -2.1095 2.000 0.0175 0.0157 0,.0204

0.775 -1.5800 -1.6807 -2.0240 2.025 0.0169 0.0160 0,.0188

0.800 -1.5535 -1.6405 -1.9391 2.050 0.0119 0.0153 0,.0219

0.825 -1.5273 -1.5944 -1.8398 2.075 0.0109 0.0141 0,.0172

0.850 -1.4979 -1.5338 -1.6834 2.100 0.0176 0.0134 0,.0186

0.875 -1.4363 -1.3897 -1.4281 2.125 0.0111 0.0130 0,.0163

0.900 -1.2911 -1.1803 -1.0964 2.150 0.0124 0.0130 .0152

0.925 -1.0251 -.8656 -.7487 2.175 0.0169 0.0091 .0148

0.950 -.6819 - . 5448 -.4323 2.200 0.0073 0.0084 .0123

0.975 -.3378 -.2599 -.1867 2.225 0.0069 0.0091 .0098

1.000 -.0134 -.0254 -.0183 2.250 0.0089 0.0102 .0095

1.025 0.2197 0.1172 0.0938 2.275 0.0105 0.0080 .0096

1.050 0.3687 0.2208 0.1645 2.300 0.0064 0.0052 .0086

1.075 0.4486 0.2738 0.1960 2.325 0.0060 0.0065 .0081

1.100 0.4796 0.3023 0.2043 2.350 0.0058 0.0069 .0068

1.125 0.4981 0.2979 0.2092 2.375 0.0040 0.0064 .0072

1.150 0.4611 0.2919 0.2019 2.400 0.0092 0.0041 .0069

1.175 0.4336 0.2723 0.1898 2.425 0.0076 0.0053 .0058

1.200 0.4083 0.2546 0.1856 2.450 0.0007 0.0053 .0065

1.225 0.3760 0.2304 0.1692 2.475 0.0044 0.0065 .0049

1.250 0.3417 0.2087 0.1507 2.500 0.0043 0.0059 .0040

-388
a

,

^2/^^11 = 2.00 p* =0. 131 ^r 0.7500 ^22/^1= 0.50

R* "11 "12 "22 R* "u "12 "22

0,.025 -2,.1906 -1,.8940 -4,.4552 1.275 0.2897 0.1835 0,.1429

0,.050 -2,.1829 -1,.8961 -4,.4190 1.300 0.2510 0.1626 .1266

0,.075 -2,.1698 -1,.8996 -4,.3622 1.325 0.2261 0.1539 0,.1267

0,.100 -2,.1529 -1,.9042 -4,.2884 1.350 0.2095 0.1410 0,.1061

0,.125 -2..1319 -1,.9100 -4,.2017 1.375 0.1866 0.1300 0,.1085

0,.150 -2,.1084 -1,.9167 -4,.1055 1.400 0.1646 0.1168 0,.0984

0,.175 -2..0821 -1,.9241 -4,.0029 1.425 0.1462 0.1056 0,.0905

0..200 -2,.0546 -1,.9318 -3,.8962 1.450 0.1287 0.0926 0,.0802

0..225 -2,,0253 -1,.9393 •3,.7872 1.475 0.1235 0.0862 0,.0793

0,.250 -1,.9956 -1,.9460 -3,,6773 1.500 0.0985 0.0807 0,.0711

0..275 -1,.9649 -1,.9507 -3,.5674 1.525 0.1004 0.0719 0,.0719

0,.300 -1,.9343 -1,.9530 -3,.4581 1.550 0.0909 0.0697 0,.0561

0,.325 -1..9032 -1..9518 -3,.3499 1.575 0.0828 0.0626 0,.0575

0..350 -1,.8726 -1,.9473 -3,.2432 1.600 0.0734 0.0581 0,.0449

0..375 -1..8419 -1,.9383 -3,.1380 1.625 0.0653 0.0506 0..0461

0..400 -1..8117 -1,.9257 -3..0347 1.650 0.0581 0.0469 0,.0422

0,.425 -1..7817 -1,.9091 -2..9333 1.675 0.0565 0.0425 0,.0447

0,.450 -1..7524 -1..8896 -2,.8340 1.700 0.0469 0.0379 0,,0414

0,.475 -1..7233 -1,.8666 -2,.7368 1.725 0.0402 0.0383 0,,0371

0,.500 -1..6950 -1..8414 -2,.6417 1.750 0.0381 0.0344 0,,0310

0,.525 -1..6670 -1,.8140 -2..5488 1.775 0.0334 0.0310 0,,0291

0..550 -1,.6397 -1,.7850 -2,.4581 1.800 0.0335 0.0306 0..0315

0,.575 -1..6129 -1,.7545 -2,.3697 1.825 0.0337 0.0281 0.,0268

0..600 -1..5867 -1..7230 -2..2836 1.850 0.0275 0.0235 0,,0164

0,.625 -1,.5610 -1,.6908 -2,.1998 1.875 0.0292 0.0225 0,,0298

0..650 -1,.5360 -1,.6582 -2,.1183 1.900 0.0213 0.0242 0,,0159

0,.675 -1,.5115 -1,.6251 -2,.0392 1.925 0.0208 0.0226 0,,0151

0,.700 -1..4875 -1,.5920 -1..9625 1.950 0.0168 0.0180 0,, 0244

0,.725 -1,.4642 -1,.5590 -1..8882 1.975 0.0145 0.0157 0,,0177

0,.750 -1,.4414 ~1,.5261 -1..8165 2.000 0.0233 0.0168 0,,0158

0..775 -1,.4193 -1..4936 -1..7472 2.025 0.0130 0.0136 0,,0140

0,.800 -1,.3976 -1,.4614 -1..6789 2.050 0.0156 0.0185 0.,0149

0,,825 -1..3765 -1,.4239 -1,.5953 2.075 0.0131 0.0163 0.,0155

0.,850 -1,.3516 -1,.3728 -1,.4657 2.100 0.0066 0.0135 0,,0161

0,,875 -1,.2989 -1,.2454 -1,.2533 2.125 0.0112 0.0090 0,,0179

0.,900 -1,,1707 -1,.0611 ,9638 2.150 0.0052 0.0096 0,,0062

0,,925 ,9331 .7751 _ .6714 2.175 0.0092 0.0085 0,,0100

0,,950 _ ,6147 „ .4896 _ .3920 2.200 0.0072 0.0083 0,,0098

0.,975 _ ,2944 . .2381 . .1775 2.225 0.0057 0.0077 0.,0096

1,.000 . ,0182 . .0192 . ,0176 2.250 0.0058 0.0045 0,,0125

1,.025 o!.1834 o!.1112 o:,0812 2.275 0.0071 0.0050 0.,0140

1..050 0,,3158 0,.2086 0.,1551 2.300 0.0039 0.0025 0.,0052

1,.075 0,.3911 0..2547 0,.1884 2.325 0.0056 0.0059 0,,0094

1,.100 0,.4388 0,.2817 0.,1955 2.350 0.0048 0.0052 0,,0069

1,.125 0,.4446 0,.2864 0,.1966 2.375 0.0061 0,0048 0.,0065

1,.150 0,.4153 0,.2782 0..1910 2.400 0.0092 . 0044 0,,0096

1,.175 0,.4088 0,.2623 0,.1813 2.425 -.0001 0.0042 0.,0035

1,.200 0..3799 0,.2447 0..1747 2.450 0.0034 0.0039 0,,0050

1.,225 0,.3423 .2243 0..1624 2.475 0.0024 0.0026 0.,0056

1,.250 0,.3100 0,.1992 0,.1469 2.500 -.0014 0.0053 0,.0033

389
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

^22/^11 = 2.00 p* =0. 151 ^r 0.9001 ^22/^1= 0.50

R* ^11 ^^12 ^22 R* ^11 ^12 ^22

0. 025 -1,,9677 -1.6257 -3,,8535 1.275 0.2676 0.1811 0,,1064

0. 050 -1,,9600 -1.6277 -3,,8195 1.300 0.2448 0.1744 0,,1108

0. 075 -1,,9475 -1.6313 -3,,7664 1.325 0.2254 0.1557 0.,1074

0. 100 -1,.9312 -1.6361 -3,.6980 1.350 0.1967 0.1392 0.,1033

0.,125 -1,.9112 -1.6424 -3,,6182 1.375 0.1755 0.1270 0,,0808

0.,150 -1,.8890 -1.6496 -3,,5305 1.400 0.1590 0.1135 0,,0890

0.,175 -1..8644 -1.6581 -3,,4377 1.425 0.1455 0.1058 0,,0634

0. 200 -1,.8387 -1.6671 -3.,3420 1.450 0.1276 0.0958 0,.0672

0. 225 -1..8118 -1.6763 -3,,2450 1.475 0.1167 0.0863 0,,0448

0.,250 -1,.7846 -1.6850 -3,,1477 1.500 0.1030 0.0759 0,,0517

0,,275 -1,.7568 -1.6924 -3.,0510 1.525 0.0959 0.0719 0,,0411

0.,300 -1.,7293 -1.6979 -2,,9553 1.550 0.0831 0.0668 0,,0309

0. 325 -1.,7016 -1.7001 -2,,8612 1.575 0.0771 0.0592 0,,0310

0,,350 -1,,6744 -1.6993 -2,.7687 1.600 0.0704 0.0573 0,,0434

0.,375 -1.,6474 -1.6945 -2,,6781 1.625 0.0601 0.0507 0,,0338

0.,400 -1.,6210 -1.6864 -2,,5896 1.650 0.0579 0.0426 0,,0359

0..425 -1.,5949 -1.6745 -2.,5031 1.675 0.0530 0.0423 0,,0247

0,,450 -1,,5695 -1.6599 -2.,4187 1.700 0.0482 0.0372 0,,0289

0.,475 -1,,5445 -1.6422 -2,,3365 1.725 0.0430 0.0355 0,,0341

0,,500 -1,,5202 -1.6225 -2,,2565 1.750 0.0379 0.0318 0,,0203

0.,525 -1.,4964 -1.6007 -2,,1786 1.775 0.0360 0.0280 0,,0177

0.,550 -1,,4731 -1.5776 -2.,1030 1.800 0.0322 0.0284 0,,0138

0.,575 -1.,4505 -1.5531 -2,,0295 1.825 0.0313 0.0266 0,,0240

0,,600 -1.,4284 -1.5277 -1,,9582 1.850 0.0262 0.0222 0,,0220

0,.625 -1,,4070 -1.5017 -1,,8891 1.875 0.0262 0.0197 0,,0124

0..650 -1,,3860 -1.4753 -1,,8221 1.900 0.0226 0.0191 0,,0202

0,.675 -1,.3657 -1.4485 -1,,7574 1.925 0.0218 0.0162 0,,0029

0..700 ~1,.3458 -1.4217 -1,,6949 1.950 0.0204 0.0170 0.,0080

0..725 -1,,3267 -1.3951 -1.,6345 1.975 0.0137 0.0140 0,,0077

0,.750 -1,,3079 -1.3685 -1..5764 2.000 0.0181 0.0123 0,,0045

0..775 -1,,2898 -1.3423 -1,,5205 2.025 0.0139 0.0124 0,,0038

0,.800 -1,,2721 -1.3163 -1,,4647 2.050 0.0121 0.0107 0.,0100

0..825 -1,.2549 -1.2856 -1,,3989 2.075 0.0074 0.0098 0,,0064

0,,850 -1,,2341 -1.2441 -1,,2931 2.100 0.0116 0.0105 0,,0072

0,.875 -1,.1869 -1.1302 -1,,1042 2.125 0.0086 0.0096 0,,0058

0.,900 -1,.0698 -.9610 - ,8572 2.150 0.0075 0.0101 0,,0084

0,.925 .8544 -.7121 ,5994 2.175 0.0079 0.0079 _ ,0013

0..950 ,5708 -.4378 .3521 2.200 0.0077 0.0049 0!,0045

0,.975 .2710 -.2059 .1667 2.225 0.0049 0.0079 0.,0024

1..000 ,0112 -.0144 - .0192 2.250 0.0074 0.0108 0,,0007

1.,025 0,.1743 0.1142 0'.0606 2.275 0.0030 0.0063 0,,0019

1.,050 .3113 0.2042 0,.1055 2.300 0.0046 0.0050 0.,0051

1,,075 0,.3776 0.2475 0,.1614 2.325 0.0026 0.0031 0,,0005

1,,100 0,.4054 0.2645 0,.1779 2.350 0.0042 0.0020 0,,0022

1.,125 .4201 0.2758 0,.1730 2.375 0.0023 0.0031 0,,0027

1,.150 .4019 0.2696 .1634 2.400 0,0016 0.0035 0,,0051

1 .175 .3821 0.2519 .1473 2.425 0.0011 0.0037 0,,0024

1,.200 .3553 0.2364 .1420 2.450 0.0001 0.0044 0,,0076

1,.225 .3282 0.2156 .1422 2.475 0.0001 0.0014 0,,0029

1 .250 .2964 0.2010 .1244 2.500 -.0007 0.0020 0,,0101

390-
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

Oryjo^^ = 2.00 p* =0.158 x^= 0.9502 ^22/^1= 0.50

R*

11 '12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

1.8814

1.8738

1.8618

8458

8266

8049

7814

7565

7309

7047

6784

1.6521

1.6261

1.6002

1.5749

1.5499

1.5256

1.5017

1.4784

1.4556

1.4335

1.4119

3909

3704

3506

3312

3125

2942

2766

2593

2427

2265

2109

•1.1917

1.1479

•1.0360

-.8295

-.5515

-.2663

-.0179

0.1732

0.2970

0.3662

0.3945

0.4052

0.3895

0.3698

0.3485

0.3189

0.2891

1.5339

1.5358

1.5394

1.5442

1.5504

1.5577

1.5662

1.5754

5850

5942

6022

6085

6117

6122

6087

6022

5920

5792

1.5635

,5458

,5261

,5051

,4829

.4598

.4361

.4120

1.3876

1.3632

1.3389

1.3147

1.2907

2670

2389

1993

0933

-.9321

-.6906

-.4331

-.2158

-.0228

0.1011

0.1951

0.2292

0.2572

0.2573

0.2526

0.2352

0.2207

0.2019

0.1852

-3.6313

-3.5989

•3.5481

-3.4826

-3.4064

3.3228

3.2346

3.1439

-3.0522

2.9605

2.8694

2.7796

2.6914

2.6049

2.5204

2.4380

•2.3577

-2.2795

2.2035

•2.1296

•2.0578

1.9881

1.9205

1.8549

1.7913

1.7297

1.6702

1.6127

1.5573

.5039

.4526

.4023

.3431

-1.2373

-1.0690

-.8258

-.5781

-.4104

-.1973

-.0475

0.0170

0.1098

0.1550

0.1332

0.1396

0.1527

0.1331

0.1245

0.1540

0.0837

1.275

1.300

325

350

375

400

425

1.450

1.475

1.500

1.525

1.550

1.575

1.600

1.625

1.650

1.675

1.700

1.725

1.750

1.775

1.800

1.825

1.850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

050

075

100

125

150

175

200

2.225

2.250

2.275

2.300

2.325

2.350

2.375

2.400

2.425

2.450

2.475

2.500

0.2600

0.2379

0.2130

0.1919

0.1740

0.1581

0.1380

0.1270

0.1196

0.1027

0.0918

0.0830

0.0745

0.0665

0.0599

0.0558

0.0501

0.0472

0.0425

0.0392

0.0330

0.0329

0.0263

0.0260

0,0224

0.0208

0.0181

0.0158

0.0163

0.0131

0.0095

0.0093

0.0095

0.0070

0.0076

0.0053

0.0035

0.0050

0.0058

0.0040

0.0038

0.0029

0.0026

0.0028

0.0016

0.0016

0.0005

-.0003

- .0030

-.0001

0.1720

0.1605

0.1412

0.1274

0.1177

0.1103

0.0959

0.0860

0.0745

0.0693

0.0611

0.0566

0.0512

. 0444

0.0439

0.0390

0.0362

0.0387

0.0329

0.0289

0.0265

0.0253

0.0229

0.0191

0.0194

0.0202

0.0158

0.0154

0.0163

0.0149

0.0121

0.0130

0.0115

0.0081

0.0089

0.0063

0.0068

0.0094

0.0088

0.0096

0.0067

0.0044

0.0032

0.0037

0.0045

0.0024

0.0034

0.0036

-.0001

-.0010

0.1118

0.0976

0.0803

0.0717

0.0795

0.0464

0.0767

0.0651

0.0404

0.0474

0.0476

0.0440

0.0469

0.0320

0.0257

0.0225

0.0158

0.0157

0.0490

0.0440

0.0302

0.0364

0.0140

0.0237

0.0092

-.0113

0.0125

0.0114

0.0203

0.0090

0.0059

0.0162

0.0108

0.0011

-.0052

0.0108

-.0015

0.0062

0.0025

- .0086

-.0003

0.0065

0.0089

0.0224

0.0125

0.0079

0.0097

- .0003

-.0005

0.0078

391
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

a /a =2.00 p* =0.081 x = 0.0498 ^22/hr ^°°

R*

11 '12 '22 R*

11 '12 '22

0.,025 -3,,2829 -2.,9982 -8.,3146 1,.275 0.,5021 0.,2693 0,,2515

0. 050 -3..2707 -2,,9996 -8,,2496 1,.300 0.,3181 0,,2408 0,,2277

0.,075 -3,.2530 -3,,0043 -8.,1457 1..325 0,,1265 0,,2059 0.,2088

0.,100 -3,.2278 -3.,0108 -8..0089 1,.350 0,,1920 0..1799 0.,1901

0.,125 -3..1975 -3,,0191 -7..8455 1..375 0,,2632 0.,1680 0,.1732

0.,150 -3,.1613 -3.,0285 -7,,6618 1,.400 0.,1873 0,,1572 0.,1598

0.,175 -3,.1212 -3,,0385 -7.,4632 1,.425 0,,0806 0,,1392 0,.1464

0,,200 -3,.0770 -3,,0483 -7,.2547 1,.450 0,,1402 0.,1269 0..1351

0,,225 -3..0301 -3.,0571 -7,.0398 1,.475 0,,0533 0,.1132 0..1234

0.,250 -2..9804 -3.,0644 -6..8210 1..500 0,,0726 0,.1058 0..1138

0,,275 -2,.9292 -3,,0677 -6,.6003 1..525 0,,0481 0,.0936 0,.1060

0.,300 -2..8763 -3,,0669 -6,.3798 1,.550 0,.0420 0,.0837 0,.0956

0,,325 -2..8228 -3.,0608 -6,.1603 1..575 .1065 0..0789 0,.0886

0.,350 -2,.7683 -3,,0492 -5..9425 1,.600 . ,0347 0,.0677 0,.0820

0,,375 -2,,7140 -3.,0294 -5,.7268 1,,625 0:,0253 0,.0644 0,,0739

0,,400 -2,,6590 -3.,0036 -5,.5143 1,,650 0,.1211 0,.0583 0.,0668

0,.425 -2,,6049 -2,,9710 -5..3049 1.,675 .1153 0..0545 0,,0610

0,,450 -2.,5504 -2,,9326 -5,.0989 1.,700 0,.0041 0,.0494 0,,0560

0.,475 -2,,4970 -2,,8873 -4,.8963 1.,725 ,1135 0,.0389 0,,0521

0,.500 -2,,4435 -2,,8376 -4,.6977 1.,750 .0413 0,.0386 0,,0491

0.,525 -2,,3914 -2,,7835 -4,.5031 1.,775 . ,0290 0..0337 0,,0445

0,.550 -2,,3393 -2,,7261 -4..3123 1.,800 .0836 0,.0341 0,,0434

0,.575 -2,,2887 -2,,6649 -4,.1255 1,,825 .0148 0..0333 0.,0391

0,.600 -2,,2383 -2,,6017 -3,.9433 1,,850 .0651 0..0275 0,,0378

0..625 -2,,1894 -2,,5368 -3.,7655 1.,875 . .0475 0,,0255 0,,0351

0,.650 -2,,1408 -2.,4705 -3,,5920 1,,900 0:.0178 0.,0296 0.,0330

0..675 -2,,0937 -2,,4031 -3,.4230 1.,925 .0348 0.,0210 0,,0301

0,.700 -2,,0469 -2,,3353 -3,,2588 1,,950 .0191 0.,0176 0,,0288

0,.725 -2,,0016 -2,.2676 -3,,0994 1,,975 .0184 0,,0166 0,,0271

0,.750 -1,,9567 -2,,1998 -2,,9450 2.,000 - .0204 0,,0098 0.,0245

0,.775 -1.,9134 -2,,1326 -2,.7954 2,,025 .0504 0,,0126 0,,0235

0.,800 -1,,8704 -2,.0660 -2,,6510 2,.050 .0349 0.,0100 0,,0209

0,.825 -1,,8290 -

.9990 -2,,5114 2,,075 .0151 0,,0121 0,,0199

0,,850 -1,,7880 -1 .9284 -2,,3695 2,,100 . .0187 0,,0096 0,,0173

0,,875 -1.,6813 -

.8023 -2,,1868 2,,125 _ .0147 0,,0114 0,,0166

0,,900 -1,,5315 -1 .6080 -1,,8957 2,,150 .0163 0,,0060 0,,0141

0,,925 -1,,1545 -1 .2594 -1,,4661 2,.175 . .0341 0.,0079 0,,0126

0,.950 ,6649 - .8532 . ,9692 2,,200 . .0585 0,,0086 0,.0116

0,,975 ,3806 .4323 ,4974 2 .225 . .0134 0.,0083 0,,0112

,000 - ,1586 - .0729 . ,1216 2 .250 - .0149 0.,0067 0,,0095

,025 0:,1453 .1831 0:.1395 2 .275 . .0385 0,,0069 0,,0085

,050 0,.4451 .3436 0,.3007 2,.300 - .0064 0,,0079 0,.0079

,075 .4228 .4195 0,.3786 2,.325 - .0304 0,,0063 ,0059

,100 0,.4793 .4608 0,.4111 2 .350 .0026 0,,0100 .0071

,125 .6565 .4575 .4087 2 .375 _ .0281 0,,0055 .0051

,150 .3940 .4391 .3881 2 .400 - .0155 0,,0028 .0048

,175 .4364 .4067 .3614 2 .425 .0322 0,,0039 .0044

,200 .3859 .3734 .3336 2 .450 .0126 0,,0009 0,.0035

,225 0,.5036 .3389 .3035 2 .475 .0247 . .0011 .0032

,250 0,.2262 .3034 .2764 2 .500 .0370 0:,0032 ,0020

392
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

o^l^f^W = 2.00 p* =0.084 x^= 0.0999 ^22/^1= ^-^^

R*

11 '12 '22 R*

11 12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

,2678

,2549

,2378

,2124

,1825

,1464

1068

0628

0164

,9671

,9164

8639

8109

7570

,7031

,6488

5950

,5412

4882

4354

,3836

,3321

,2818

2318

1832

1349

2.0880

2.0416

9966

9520

9089

8662

8250

7766

6926

5011

2102

-.7460

-.3531

0.0241

0.2304

0.4768

0.5061

0.5838

0.6265

0.5585

0.5220

0.4275

0.4609

0.4168

2.9943

2.9950

2.9993

3.0054

3.0132

0221

0317

0412

0497

8.2719

8.2064

8.1020

-3.0566

,0598

,0589

,0526

0408

,0209

9949

,9621

9236

8781

8283

7741

,7165

,6552

,5920

,5271

2.4609

2.3935

3259

2582

1907

1236

2.0572

9904

9204

7957

6054

2524

-.8383

-.4407

-.0823

0.1497

0.3309

0.4079

0.4515

0.4485

0.4329

0.4030

0.3589

0.3299

0.2939

.9646

,8008

,6168

,4180

,2096

,9947

,7761

,5557

,3356

.1165

.8991

.6840

5.4720

5.2632

.0577

.8556

.6575

.4634

4.2732

4.0870

3.9053

3.7280

3.5551

3.3867

3.2231

3.0643

2.9104

2.7614

2.6176

2.4786

.3377

.1557

.8662

.4437

-.9469

-.4777

-.1017

0.1570

0.3149

0.3952

0.4232

0.4224

0.4105

0.3839

0.3541

0.3208

0.2933

1.275

1.300

1.325

1.350

1.375

400

425

450

475

500

525

1.550

1.575

600

625

650

675

700

725

750

775

800

825

850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

2.050

2.075

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

0.3670

0.3640

0.3305

0.2329

0.2257

0.1783

0.2177

0.1162

0.1549

0.1570

0.1397

0.1311

0.1067

0.0698

0.0896

0.1005

0.0258

0.0504

0.0576

0.0407

0.0669

0.0237

0.0316

0.0544

0.0561

0.0349

0.0182

0.0286

0.0394

0.0541

0.0489

0.0671

0.0353

0.0239

0.0384

0.0253

0.0238

0.0205

0.0289

0.0170

0.0161

0.0290

0.0409

0.0160

0.0060

0.0045

0.0242

0.0278

0.0293

0.0127

0.2711

0.2361

0.2131

0.1933

0.1741

0.1534

0.1416

0.1254

0.1176

0.1058

0.0994

0.0889

0.0781

0.0711

0.0662

0.0628

0.0567

0.0536

0.0473

0.0457

0.0375

0.0323

0.0316

0.0264

0.0239

0.0219

0.0223

0.0195

0.0168

0.0142

0.0116

0.0121

0.0146

0.0126

0.0105

0.0090

0.0108

0.0112

0.0106

0.0095

0.0084

0.0044

0.0059

0.0061

0.0069

0.0029

0.0043

0.0043

0.0026

-.0011

0.2716

0.2466

0.2289

0.2111

0.1954

0.1816

0.1673

0.1549

0.1436

0.1336

0.1243

0.1160

0.1086

0.0988

0.0929

0.0858

0.0796

0.0738

0.0685

0.0639

0.0604

0.0575

0.0556

0.0514

0.0487

0.0478

0.0437

0.0411

0.0379

0.0360

0.0342

0.0309

0.0297

0.0265

0.0254

0.0215

0.0214

0.0194

0.0176

0.0160

0.0138

0.0127

0.0118

0.0112

0.0093

0.0072

0.0063

0.0059

0.0048

0.0027

-393
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

a /a =2.00 p* =0.094 x.= 0.2500 '22/Hr i-""

R* '11 '12 '22 R*

11 12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

3.1407

3.1285

3.1117

3.0864

3.0571

0214

9828

9396

8947

8466

•2.7979

•2.7470

2.6963

•2.6442

•2.5928

•2.5406

•2.4894

•2.4377

•2.3874

•2.3368

•2.2877

2.2385

•2.1908

•2.1432

•2.0971

•2.0512

•2.0068

•1.9628

•1.9202

•1.8781

•1.8373

•1.7971

•1.7582

•1.7150

•1.6301

•1.4511

•1.1489

-.7740

-.4042

-.0382

0.2403

0.3573

0.4742

0.5033

0.4905

0.4924

0.4418

0.4119

0.3624

0.3508

•2.8071

2.8140

2.8199

2.8269

•2.8354

2.8448

2.8550

2.8652

2.8747

2.8829

2.8877

2.8888

2.8847

2.8754

8584

8355

8059

7708

7291

6831

2.6328

2.5794

2.5224

2.4635

•2.4030

2.3413

2.2784

2.2152

2.1520

,0889

,0262

,9642

,9017

,8364

,7179

1.5342

1.1947

-.8035

-.4055

-.0532

0.1733

0.3480

0.4177

0.4553

0.4636

0.4462

0.4117

0.3756

0.3453

0.3203

8218

7578

6563

5232

3650

1879

9975

7980

5929

3848

1756

9667

7592

5536

3507

1507

9539

7607

5710

3851

2031

4.0250

3.8510

6811

5154

3540

1969

3.0442

2.8961

7526

6137

4796

3500

2181

2.0484

1.7744

1.3717

-.9023

-.4528

-.0888

0.1614

0.3163

0.3974

0.4249

0.4289

0.4118

0.3870

0.3544

0.3316

0.3032

,275

,300

.325

,350

.375

.400

1.425

1.450

1.475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

850

1.875

900

925

950

975

000

2.025

2.050

2.075

100

125

150

175

2.200

2.225

2.250

2.275

2.300

2.325

2.350

2.375

2.400

2.425

2.450

2.475

2.500

0.3067

0.2664

0.2418

0.2351

0.1837

0.1714

0.1429

0.1449

0.1032

0.1206

0.0987

0.0893

0.0753

0.0742

0.0682

0.0786

0.0445

0.0537

0.0580

0.0498

0.0528

0.0579

0.0389

0.0360

0.0428

0.0186

0.0283

0.0324

0.0195

0.0261

0.0056

0.0325

0.0151

0.0117

0.0146

0.0126

0.0171

0.0107

-.0038

-.0072

-.0049

0.0014

-.0048

0.0198

0.0159

-.0020

0.0114

0.0072

-.0013

0.0091

0.2833

0.2568

0.2307

0.2045

0.1849

0.1640

0.1512

0.1345

0.1251

0.1129

0.1064

0.0995

0.0886

0.0779

0.0732

0.0690

0.0615

0.0575

0.0519

0.0469

0.0434

0.0392

0.0373

0.0335

0.0310

0.0276

0.0288

0.0281

0.0244

0.0213

0.0220

0.0198

0.0189

0.0120

0.0150

0.0155

0.0102

0.0136

0.0115

0.0109

0.0081

0.0096

0.0072

0.0046

0.0059

0.0036

0.0045

0.0048

0.0038

0.0035

0.2827

0.2553

0.2391

0.2195

0.1993

0.1866

0.1740

0.1639

0.1494

0.1391

0.1322

0.1237

0.1157

0.1054

0.1007

0.0937

0.0874

0.0828

0.0791

0.0724

0.0698

0.0647

0.0612

0.0571

0.0555

0.0502

0.0485

0.0462

0.0418

0.0410

0.0369

0.0342

0.0328

0.0301

0.0271

0.0265

0.0235

0.0210

0.0175

0.0156

0.0152

0.0130

0.0114

0.0126

0.0099

0.0088

0.0063

0.0062

0.0043

0.0040

394
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

o.?2/"ll = 2.00 p* =0. 117 ^r 0.5000 '22^'ir 1.00

R* <'11 ^12 <'22 R* ^11 ^12 ^22

.025 -2 .9350 -2.5540 -7 .1697 1.275 0.2870 0.2701 2760

050 -2 .9227 -2.5579 -7 .1064 1.300 0.2577 0.2441 2536

.075 -2 .9054 -2.5631 -7 .0066 1.325 0.2114 0.2198 2300

100 -2 .8801 -2.5697 -6 .8766 1.350 0.2080 0.2009 2130

125 -2 .8508 -2.5780 -6 .7235 1.375 0.1696 0.1801 1975

150 -2 .8155 -2.5875 -6 .5535 1.400 0.1667 0.1641 1833

175 -2 .7777 -2.5983 -6 .3720 1.425 0.1461 0.1466 1661

200 -2 .7357 -2.6095 -6 1831 1.450 0.1297 0.1343 1549

225 -2 .6924 -2.6206 -5 9900 1.475 0.1102 0.1242 1422

250 -2 .6465 -2.6308 -5 7950 1.500 0.1030 0.1092 1339

275 -2 .6002 -2.6385 -5 5999 1.525 0.0848 0.0985 1229

300 -2 .5523 -2.6431 -5 4059 1.550 0.0862 0.0928 1168

325 -2 5047 -2.6429 -5 2138 1.575 0.0724 0.0834 1079

350 -2 4562 -2.6378 -5 0242 1.600 0.0659 0.0758 1019

375 -2 4083 -2.6254 -4 8376 1.625 0.0645 0.0706 0944

400 -2 3602 -2.6073 -4 6542 1.650 0.0478 0.0637 0866

425 -2 3128 -2.5825 -4 4744 1.675 0.0436 0.0557 0829

450 -2 2655 -2.5525 -4 2982 1.700 0.0472 0.0550 0779

475 -2 2192 -2.5162 -4 1258 1.725 0.0402 0.0513 0725

500 -2 1732 -2.4758 -3 9572 1.750 0.0316 0.0467 0671

525 -2 1281 -2.4312 -3 7925 1.775 0.0329 0.0414 0626

550 -2 0837 -2.3837 -3 6317 1.800 0.0302 0.0364 0584

575 -2 0401 -2.3329 -3 4749 1.825 0.0308 0.0342 0559

600 - \ 9972 -2.2802 -3 3221 1.850 0.0236 0.0320 0492

625 -

]_ 9552 -2.2259 -3 1733 1.875 0.0173 0.0326 0479

650 - \ 9141 -2.1705 -3 0287 1.900 0.0145 0.0315 0440

675 -1 8738 -2.1142 -2 8881 1.925 0.0136 0.0282 0427

700 -1 8344 -2.0575 -2 7517 1.950 0.0216 0.0242 0412

725 -1 7958 -2.0008 -2 6196 1.975 0.0169 0.0234 0367

750 .

]_ 7582 -1.9442 -2 4917 2.000 0.0049 0.0203 0334

775 -1 7214 -1.8880 -2 3681 2.025 0.0162 0.0196 0325

800 -

1

6856 -1.8324 -2 2490 2.050 0.0186 0.0163 0313

825 -1 6505 -1.7766 -2 1341 2.075 0.0071 0.0154 0292

850 - ]_ 6113 -1.7178 -2 0171 2.100 0.0112 0.0118 0275

875 - ]_ 5353 -1.6095 -1 8654 2.125 0.0067 0.0139 0254

900 . \ 3751 -1.4407 -1 6217 2.150 0.0043 0.0127 0235

925 -1 0930 -1.1262 -1 2631 2.175 0.0017 0.0131 0238

950 _ 7283 -.7567 . 8309 2.200 0.0102 0.0123 0177

975 - 3299 -.3800 . 4138 2.225 -.0017 0.0116 0165

1 000 - 0339 -.0459 - 0751 2.250 0.0102 0.0108 0172

1 025 1888 0.1707 1542 2.275 0.0083 0.0112 0144

1 050 3712 0.3317 3035 2.300 0.0029 0.0112 0128

1 075 4112 0.4025 3798 2.325 0.0003 0.0077 0112

1 100 4682 0.4428 4097 2.350 0.0056 . 0040 0109

1 125 4800 0.4392 4187 2.375 -.0037 0.0056 0085

1 150 4590 0.4268 4035 2.400 0.0046 0.0070 0054

1 175 4183 0.3968 3782 2.425 0.0071 0.0060 0066

1 200 3755 0.3665 3541 2.450 0.0005 0.0042 0062

1 225 3397 0.3334 3302 2.475 0.0043 0.0025 0053

1 250 3014 0.2980 3024 2.500 0.0062 0.0018 0045

-395
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

"22/"ll

= 2.00 p* =0. 143 ^r 0.7500 ^22/hr 1.00

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0.025 -2,,4476 -2.,0250 -5,,5591 ,275 0.2696 0.2718 0,.2684

0.050 -2.,4373 -2.,0279 -5,,5050 ,300 0.2460 0.2443 0,.2457

0.075 -2,,4217 -2.,0325 -5.,4202 ,325 0.2251 0.2228 0.,2226

0.100 -2,,4001 -2,,0386 -5,,3107 ,350 0.1972 0.1985 0.,2031

0.125 -2.,3745 -2,,0465 -5,,1831 ,375 0.1780 0.1797 0,,1880

0.150 -2.,3447 -2,,0557 -5,,0429 ,400 0.1594 0.1674 0,,1750

0.175 -2,,3126 -2,,0664 -4.,8947 ,425 0.1438 0.1472 0,.1627

0.200 -2,,2777 -2.,0780 -4.,7419 ,450 0.1301 0.1357 0..1472

0.225 -2,,2418 -2.,0900 -4.,5872 ,475 0.1131 0.1214 0..1340

0.250 -2.,2042 -2,,1018 -4,,4322 ,500 0.1005 0.1093 0,.1243

0.275 -2,,1666 -2,,1121 -4.,2784 ,525 0.0940 0.1007 0,.1128

0.300 -2,,1280 -2,,1203 -4,,1265 ,550 0.0812 0.0906 0..1046

0.325 -2,.0899 -2.,1247 -3.,9772 ,575 0.0706 0.0862 0..0929

0.350 -2,,0514 -2,,1252 -3,,8308 ,600 0.0668 0.0743 0,.0848

0.375 -2,.0136 -2,,1199 -3.,6876 ,625 0.0553 0.0694 0..0816

0.400 -1,,9757 -2.,1099 -3,.5477 ,650 0.0532 0.0656 0..0715

0.425 -1,,9388 -2,,0942 -3..4112 ,675 0.0532 0.0589 0..0639

0.450 -1..9020 -2,,0742 -3,,2782 ,700 0.0469 0.0549 0,.0623

0.475 -1..8662 -2,,0490 -3,,1486 ,725 0.0381 0.0502 0.,0571

0.500 -1..8307 -2.,0205 -3,,0226 ,750 0.0384 0.0455 0,.0487

0.525 -1,.7962 -1.,9886 -2.,8999 ,775 0.0340 0.0429 0..0423

0.550 -1..7620 -1,,9542 -2,,7807 ,800 0.0297 0.0391 0,,0416

0.575 -1,.7290 -1,,9173 -2.,6649 ,825 0.0260 0.0368 0.,0409

0.600 -1,.6963 -1,,8790 -2,,5525 ,850 0.0251 0.0346 0,.0372

0.625 -1..6647 -1,,8393 -2,.4435 .875 0.0221 0.0286 0,.0376

0.650 -1,.6335 -1.,7988 -2..3379 .900 0.0195 0.0269 0,.0309

0.675 -1,.6034 -1,,7576 -2,.2357 .925 0.0147 0.0259 0,.0271

0.700 -1..5737 -1,.7162 -2,.1368 .950 0.0134 0.0234 0,.0270

0.725 -1,.5450 -1..6747 -2..0414 .975 0.0104 0.0218 0,.0204

0.750 -1..5169 -1..6334 -1..9495 2!.000 0.0128 0.0195 0,.0194

0.775 -1,.4896 -1..5924 -1,.8610 2,.025 0.0103 0.0178 0..0218

0.800 -1,.4629 -1,.5519 -1,.7760 2,.050 0.0079 0.0158 0,.0214

0.825 -1,.4371 -1,.5112 -1..6942 2,.075 0.0088 0.0127 0,.0186

0.850 -1,.4077 -1..4683 -1,.6115 2,,100 0.0096 0.0117 0.,0163

0.875 -1,.3480 -1,.3813 -1,.5018 2,,125 0.0054 0.0103 0.,0144

0.900 -1,.2123 -1,.2412 -1,.3165 2..150 0.0029 0.0092 0.,0128

0.925 .9540 _ .9724 -1,.0264 2,.175 0.0040 0.0107 0.,0144

0.950 . .6344 _ .6527 - .6827 2,.200 -.0001 0.0092 0,,0105

0.975 .3137 .3203 .3318 2..225 0.0001 0.0089 0.,0099

1.000 . .0262 _ .0243 _ .0543 2,.250 0.0019 0.0071 0.,0145

1.025 o:.1980 0..1682 o:.1486 2,.275 0.0017 0.0068 0,,0128

1.050 .3233 .3150 0,.2820 2..300 0.0003 0.0064 0.,0119

1.075 .4012 .3839 0,.3499 2..325 0.0046 0.0046 0.,0053

1.100 .4338 0,.4255 0,.3751 2..350 0.0004 0.0038 0,,0063

1.125 .4473 .4200 0,.3899 2,.375 0.0008 0.0043 0,,0083

1.150 .4189 0,.4151 .3713 2,.400 0.0002 0.0039 0.,0033

1.175 .3919 .3905 0,.3686 2..425 -.0005 0.0031 0,,0025

1.200 .3679 .3619 0,.3349 2..450 -.0036 0.0022 0,,0051

1.225 .3255 .3251 0,.3121 2,.475 -.0018 0.0023 0.,0051

1.250 .3076 .3007 0,.2933 2,.500 -.0022 0.0032 0,,0025

396-
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

a /a =2.00 p* =0.159 x = 0.9001 ^22/^ir ^^^

R*

11 12 '22 R* '11 12 "22

.025 -2 .0689 -1 .6680 -4 .4113 .275 .2745 0,.2521 0,.2522

.050 -2 .0607 -1 .6702 -4 .3650 .300 .2436 0,.2284 0,.2206

.075 -2 .0467 -1 .6742 -4 .2927 .325 .2196 0..2084 0,.2144

0,.100 -2 .0288 -1 .6796 -4 .2002 .350 0,.1977 0,.1880 0,.1788

.125 -2 .0066 -1 .6866 -4 .0930 .375 0,.1778 0,.1681 0,.1685

0,.150 -1 .9821 -1 .6950 -3 .9763 .400 0,.1632 0.,1521 0,.1620

0..175 -1 .9547 -1 .7049 -3 .8539 .425 0,.1469 0,,1415 0,.1558

0,.200 -1 .9263 -1 .7158 -3 .7287 .450 0,,1310 0.,1313 0,.1331

0..225 -1,.8964 -1 .7274 -3 .6030 .475 0,.1174 0,,1136 0..1191

0,.250 -1 .8662 -1,.7391 -3 .4781 .500 0,.1051 0,.1032 0..1144

0,.275 -1 .8353 -1 .7500 -3 .3550 .525 0,.0978 0,.0937 0,.1034

0,.300 -1,.8047 -1,.7593 -3 .2343 ,550 0,.0880 0..0880 0..0910

0,.325 -1 .7740 -1,.7656 -3,.1164 .575 0,.0823 0..0802 0..0905

0,.350 -1 .7437 -1,.7687 -3,.0015 .600 0,.0679 0..0701 0..0860

0,,375 -1 .7137 -1 .7670 -2,.8897 .625 0,,0665 0,.0668 0..0841

0,.400 -1,.6843 -1,.7614 -2,.7812 ,650 0,.0581 0,.0594 0,.0689

0,,425 -1,.6553 -1,.7510 -2,.6759 .675 0.,0567 0,,0548 0..0531

0,,450 -1,.6270 -1..7370 -2 .5737 .700 0.,0533 0,,0494 0,.0662

0.,475 -1,.5993 -1,,7189 -2,.4747 ,725 0,,0451 0.,0457 0,.0613

0,,500 -1,.5721 -1.,6980 -2,,3788 ,750 0,,0373 0.,0389 0,.0439

0,,525 -1,.5457 -1..6743 -2,.2860 ,775 0,,0367 0.,0379 0,.0428

0,,550 -1,.5198 -1,.6487 -2..1961 1.,800 0,,0361 0.,0323 0,.0418

0,,575 -1,.4946 -1..6211 -2,.1092 1,,825 0.,0280 0..0320 0..0482

0,,600 -1..4700 -1,.5924 -2,.0253 1.,850 0,,0299 0..0286 0,.0363

0.,625 -1,,4462 -1,,5626 -1..9442 1.,875 0.,0245 0..0263 0,.0355

0,,650 -1,,4227 -1,.5323 -1,.8660 1,,900 0,.0236 0,.0228 0,.0294

0.,675 -1,.4002 -1,.5015 -1..7906 1.,925 0,,0201 0,.0198 0,.0202

0.,700 -1,.3780 -1.,4706 -1,.7180 1,,950 0,,0208 0..0223 0,.0233

0,,725 -1,.3567 -1,,4397 -1..6482 1.,975 0.,0166 0,.0182 0,.0311

0.,750 -1,.3357 -1,,4090 -1..5812 2.,000 0,.0161 0,.0158 0,.0237

0.,775 -1,.3157 -1,,3786 -1..5171 2,,025 0,,0149 0,.0121 .0223

0.,800 -1,,2959 -1.,3487 -1,.4557 2.,050 0,,0125 0,.0141 .0257

0,,825 -1,,2768 -1,,3186 -1.,3967 2.,075 0,,0120 0.,0107 0,.0246

0.,850 -1,.2537 -1,,2865 -1..3363 2,,100 0,,0107 0.,0094 .0210

0,,875 -1,,2056 -1,,2146 -1,.2497 2,,125 0,,0073 0,.0115 0,.0255

0.,900 -1,,0854 -1.,0942 -1.,1038 2,,150 0.,0078 0..0095 0,.0140

0.,925 ,8652 ,8620 ,8710 2.,175 0.,0085 0,,0091 0,.0182

0.,950 ,5746 ,5817 _ ,5735 2,,200 0.,0064 0.,0105 0,,0131

0.,975 ,2825 ,2885 .2938 2,,225 0,,0027 0,,0078 0,,0192

1.,000 . ,0146 . ,0203 _ ,0461 2.,250 0,,0076 0.,0057 0,,0113

1.,025 0!,1830 0!,1633 0:,1502 2,,275 0,,0044 0,,0064 0.,0171

1.,050 0.,3004 0.,2845 0,,2403 2,,300 0.,0039 0,,0005 0,,0155

1.,075 0.,3837 0,,3573 0,,3109 2.,325 0,,0033 0.,0047 0.,0193

1. 100 0,,4130 0.,3884 0.,3670 2,,350 0,,0028 0.,0010 0,,0101

1.,125 0.,4164 0,,3926 0,,3576 2,,375 0,,0012 0.,0018 0.,0097

1.,150 0,,4035 0,,3844 0,.3390 2,,400 0.,0040 0,,0005 0,,0015

1.,175 0.,3830 0.,3599 0,,3566 2.,425 0,,0045 0.,0011 0.,0122

1.,200 0.,3559 0,,3344 0,,3156 2.,450 - ,0009 0.,0024 0.,0069

1.,225 0.,3327 0,,3068 0.,2912 2,,475 o'.,0012 0.,0018 0,,0036

1.,250 0.,2917 0,,2787 0..2632 2,,500 ,0016 0.,0004 0.,0058

397
^^22/^11 = 2.00 p* =0. 163 ^r 0.9502 ^22/^11= 1.00

R* ^11 "12 "22 R* "11 "12 "22

0..025 -1,.9310 -1,.5474 -4,.0270 1,.275 0.2675 0.2560 0,.2765

0.,050 -1,.9232 -1..5494 -3,.9838 1,.300 0.2418 0.2319 0,.2536

0..075 -1..9104 -1,.5532 -3,.9165 1,.325 0.2153 0.2123 0,.2390

0,.100 -1..8936 -1,.5583 -3,.8304 1,.350 0.1959 0.1890 0,.2135

0..125 -1,.8732 -1..5650 -3,.7310 1,.375 0.1771 0.1714 0,.2053

0..150 -1,.8504 -1..5729 -3,.6228 1,.400 0.1638 0.1581 0,.1948

0..175 -1..8254 -1,.5824 -3,.5096 1,.425 0.1433 0.1422 0,.1640

0..200 -1..7992 -1,.5929 -3,.3941 1,.450 0.1324 0.1320 0,.1491

0..225 -1,.7720 -1..6041 -3,.2782 1,.475 0.1212 0.1185 .1557

0,.250 -1,.7443 -1..6156 -3,.1633 1,.500 0.1054 0.1069 .1062

0..275 -1..7164 -1,.6264 -3,.0502 1,.525 0.0966 0.0938 0,.1252

0..300 -1..6885 -1,.6359 -2..9394 1,.550 0.0873 0.0857 0,.1091

0,.325 -1,.6608 -1..6426 -2,.8314 1,.575 0.0807 0.0784 0,.1041

0,.350 -1..6335 -1,.6464 -2..7263 1,.600 0.0737 0.0710 0,.0859

0,.375 -1,.6065 -1,.6458 -2..6242 1,.625 0.0660 0.0666 0,.0680

0,.400 -1,.5801 -1..6416 -2,.5252 1..650 0.0597 0.0592 0,.0663

0,.425 -1..5541 -1..6330 -2..4293 1,.675 0.0572 0.0547 0,.0699

0,,450 -1,.5288 -1..6210 -2..3366 1,.700 0.0503 0.0496 0,.0541

0,.475 -1..5040 -1,,6053 -2,.2469 1..725 0.0441 0.0449 0,.0499

0..500 -1..4799 -1,,5870 -2..1602 1..750 0.0430 0.0399 0,.0208

0,,525 -1..4563 -1,,5661 -2,.0764 1,.775 0.0386 0.0358 0,.0327

0.,550 -1,.4334 -1.,5435 -1,.9956 1..800 0.0338 0.0317 0,.0305

0.,575 -1,.4111 -1.,5191 -1,.9176 1,.825 0.0303 0.0303 0,.0267

0,,600 -1..3893 -1,,4937 -1,,8424 1..850 0.0285 0.0256 0,.0321

0,,625 -1,,3682 -1,,4674 -1.,7699 1..875 0.0252 0.0234 0,.0295

0,,650 -1.,3476 -1,,4405 -1.,7003 1..900 0.0221 0.0209 0,.0318

0,,675 -1,,3277 -1.,4132 -1.,6333 1..925 0.0219 0.0193 0..0419

0,,700 -1,,3082 -1.,3858 -1,,5690 1,.950 0.0183 0.0190 0,.0296

0,,725 -1.,2894 -1.,3586 -1,,5074 1.,975 0.0189 0.0160 0,.0486

0.,750 -1.,2711 -1.,3314 -1.,4484 2,,000 0.0172 0.0141 0,.0349

0,,775 -1,,2534 -1.,3046 -1,,3921 2,,025 0.0149 0.0130 0..0260

0,,800 -1.,2362 -1.,2781 -1.,3385 2,,050 0.0142 0.0111 0..0413

0,,825 -1,,2195 -1.,2514 -1,,2872 2,,075 0.0122 0.0104 0,.0429

0.,850 -1,,1991 -1,,2221 -1.,2364 2.,100 0.0133 0.0093 0.,0302

0,,875 -1,,1537 -1,,1580 -1.,1610 2.,125 0.0087 0.0062 0.,0385

0,,900 -1.,0403 -1,,0472 -1.,0241 2,,150 0.0092 0.0058 0,,0312

0,,925 ,8308 ,8231 _ ,8040 2.,175 0.0085 0.0048 0,,0358

0,,950 ,5481 . ,5520 . ,5327 2,,200 0.0074 0.0031 0.,0409

0.,975 ,2676 ,2709 ,2712 2,,225 0.0049 0.0059 0.,0261

,000 - ,0139 - ,0251 - ,0106 2,,250 0.0061 0.0044 0,,0213

,025 0.,1757 o!,1526 o!,1645 2,,275 0.0049 0.0038 0,,0175

,050 0.,2965 0.,2796 0,,2845 2.,300 0.0031 0.0051 0,,0195

.075 0.,3732 0,,3417 0,,3567 2,,325 0.0030 0.0038 0,,0241

.100 0,.4051 0,,3801 0,,3752 2,,350 0.0037 0.0009 0,,0155

.125 0,.4055 0,,3843 0,,3683 2,,375 0.0021 0.0017 0,,0233

.150 0..3941 0,,3772 0,,3502 2,,400 0.0015 0.0001 0,,0180

.175 0,.3785 0,,3537 0,,3434 2,,425 -.0006 0.0039 0.,0164

.200 0..3510 0.,3283 0,,3299 2,,450 0.0003 0.0009 0..0208

.225 0,.3248 0,,3020 0,,3016 2,,475 -.0008 0.0011 0.,0158

.250 0,.2928 0.,2816 0.,2856 2.,500 -.0022 0.0011 0.,0150

398-
^22/^11 = 2.00 p* =0. 089 ^r 0.0498 ^22/^ir 1.50

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0.025 -4,.0186 -3,,5720 -11,,6322 1.275 .2506 0.3150 0.,3874

0.050 -4,.0017 -3,,5834 -11,,5287 1.300 .2308 0.2692 0.,3543

0.075 -3,.9775 -3,,5924 -11,,3642 1.325 .1101 0.2494 0.,3256

0.100 -3,.9415 -3,,6028 -11.,1487 1.350 .1453 0.2253 0.,2993

0.125 -3,.8990 -3,,6154 -10,,8933 1.375 .1432 0.1987 0. 2763

0.150 -3,.8476 -3.,6297 -10,,6083 1.400 .0872 0.1864 0,,2546

0.175 -3,.7914 -3,,6455 -10,,3027 1.425 .0406 0.1648 0.,2353

0.200 -3,.7288 -3,,6618 -9,,9837 1.450 .0916 0.1449 0.,2183

0.225 -3,.6632 -3,,6779 -9,,6568 1.475 .0434 0.1370 0,,2009

0.250 -3,,5934 -3,,6927 -9,,3262 1.500 .0361 0.1231 0.,1863

0.275 -3,,5222 -3,,7036 -8.,9947 1.525 .0478 0.1130 0,,1716

0.300 -3,.4483 -3.,7098 -8,,6645 1.550 .0805 0.1052 0,,1589

0.325 -3,.3741 -3,,7093 -8,,3370 1.575 .0384 0.0941 0,,1451

0.350 -3,.2986 -3,,7016 -8,,0131 1.600 .0430 0.0817 0,,1338

0.375 -3,.2235 -3,,6827 -7,,6937 1.625 .0282 0.0732 0.,1235

0.400 -3..1479 -3,,6548 -7.,3791 1.650 . .0593 0.0676 0,,1124

0.425 -3,.0732 -3,,6167 -7,,0699 1.675 - .0381 0.0639 0,,1040

0.450 -2,.9987 -3,,5699 -6,,7661 1.700 .0307 0.0548 0.,0951

0.475 -2,.9254 -3,,5123 -6.,4682 1.725 - .0048 0.0522 0.,0889

0.500 -2,.8526 -3,,4476 -6,,1762 1.750 .0103 0.0472 0,,0824

0.525 -2,.7812 -3,,3758 -5.,8904 1.775 - .0317 0.0454 0,,0772

0.550 -2,.7106 -3,,2986 -5,,6108 1.800 .0335 0.0404 0,.0738

0.575 -2,.6415 -3,,2155 -5,,3378 1.825 .0542 0.0376 0,,0682

0.600 -2,.5733 -3,,1290 -5,,0714 1.850 - .0039 0.0354 0,,0656

0.625 -2,.5067 -3,,0396 -4,,8118 1.875 - .0645 0.0321 0,.0624

0.650 -2,.4412 -2.,9482 -4,,5591 1.900 .0229 0.0274 0,.0581

0.675 -2..3772 -2,,8549 -4,,3135 1.925 .0370 0.0268 0,.0553

0.700 -2,.3143 -2,,7609 -4,,0752 1.950 - .0324 0.0221 0,.0509

0.725 -2,.2531 -2,,6667 -3.,8442 1.975 - .0180 0.0213 0,.0476

0.750 -2,.1930 -2,,5726 -3,,6208 2.000 - .0199 0.0177 .0444

0.775 -2,.1345 -2,,4791 -3,,4050 2.025 - .0096 0.0182 0,.0398

0.800 -2,.0773 -2,,3865 -3,,1970 2.050 - .0148 0.0145 0,.0369

0.825 -2,.0216 -2,,2951 -2,,9969 2.075 . .0037 0.0130 0,.0333

0.850 -1,.9673 -2,,2039 -2.,8042 2.100 . .0386 0.0121 .0315

0.875 -1,.8349 -2,,0772 -2.,6088 2.125 - .0233 0.0124 .0284

0.900 -1,.6122 -1,.8968 -2.,3592 2.150 - .0073 0.0120 .0251

0.925 -1 .3051 -1,.5355 -1.,9698 2.175 . .0058 0.0123 .0234

0.950 .8507 -1..0879 -1.,4222 2.200 .0296 0.0083 .0207

0.975 _ .4697 . .5886 . .8048 2.225 _ .0425 0.0092 .0184

1.000 . .1202 _ .1315 . .2451 2.250 . .0028 0.0076 0,.0163

1.025 o'.1428 o!.1786 o:.1686 2.275 _ .0128 0.0056 0,.0139

1.050 .3526 0,.4105 0,.4337 2.300 _ .0480 0.0052 0,.0133

1.075 .4170 0,.5102 0,.5742 2.325 - .0060 0.0066 0,.0115

1.100 .5329 0,.5601 0,.6274 2.350 - .0435 0.0059 .0110

1.125 .4203 0,.5526 0,.6255 2.375 - .0321 0.0047 0,.0088

1.150 .4433 0,.5400 0,.5978 2.400 .0412 0.0062 0,.0071

1.175 .2788 .4878 .5554 2.425 - .0268 0.0066 .0067

1.200 .3113 .4495 .5123 2.450 - .0133 0.0089 0,.0052

1.225 .2381 .4019 .4669 2.475 .0039 0.0070 0,.0039

1.250 .3032 .3608 .4232 2.500 - .0371 0.0016 .0038

-399
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

'^22'^''ll = 2-^^ P* =0.092 x^= 0.0999

'll^'ll

1.50

R*

11 12 '22 R* '11 12 '22

0,.025 -4,.0122 -3 .5550 -11,.5969 1..275 .2864 0,.3357 .3981

0,.050 -3..9953 -3 .5639 -11,.4928 1,.300 .3187 0,.2901 .3685

0..075 -3,.9707 -3 .5723 -11,.3275 1 .325 .2821 .2599 .3367

0,.100 -3..9348 -3 .5826 -11,.1112 1,.350 .2016 0,.2338 .3130

0,.125 -3,.8921 -3,.5951 -10,.8550 1,.375 .1754 .2109 .2899

0,.150 -3,.8407 -3,.6094 -10,.5693 1..400 .1744 .1842 .2703

0,.175 -3,.7845 -3,.6252 -10,.2632 1..425 .1471 .1706 .2503

0,.200 -3,.7220 -3 .6416 -9,.9440 1..450 .1881 0,.1544 .2322

0,.225 -3..6565 -3,.6578 -9,.6171 1,.475 .0583 0,.1407 .2154

0,.250 -3,.5868 -3,.6727 -9,.2866 1..500 .1046 0,.1243 0,.2001

0..275 -3,.5157 -3,.6837 -8,.9554 1,.525 0,.1199 0..1168 .1866

0,.300 -3..4419 -3,.6901 -8 .6256 1,.550 .0854 0,.1030 0,.1731

0,.325 -3,.3679 -3,.6897 -8,.2987 1,.575 .0654 0,.0936 0,.1611

0,.350 -3,.2923 -3..6820 -7,.9755 1,.600 0,.0759 0,.0858 0,.1484

0,.375 -3,.2174 -3,.6631 -7,.6568 1,.625 0,.0838 0,.0814 0,.1369

0,.400 -3,.1416 -3..6352 -7,.3430 1..650 .0447 0,.0745 0,.1271

0,.425 -3,.0671 -3..5970 -7..0346 1..675 .0384 0,.0662 0,.1171

0,.450 -2,.9922 -3..5501 -6..7316 1,.700 0,.0576 0,.0616 0,.1103

0,.475 -2,.9190 -3,.4924 -6..4345 1,.725 0,.0442 0,.0567 0,.1017

0..500 -2,.8458 -3,.4276 -6..1433 1,.750 .0422 0,.0512 0,.0955

0,.525 -2,.7744 -3,.3558 -5,.8583 1..775 0,.0472 0..0470 0,.0903

0..550 -2,.7033 -3..2787 -5..5796 1..800 0,.0452 0,,0398 0,.0841

0..575 -2,.6342 -3,.1957 -5,.3074 1.,825 0,.0160 0,,0370 0,.0810

0,.600 -2,.5656 -3..1094 -5,.0417 1..850 0,.0122 0,,0333 0,.0771

0,.625 -2,.4989 -3,.0202 -4..7828 1,.875 0,.0105 0,.0286 0,.0733

0,.650 -2,.4329 -2..9291 -4..5309 1,.900 0,.0265 0,.0277 0,.0684

0,.675 -2..3689 -2,.8360 -4,.2860 1..925 0..0067 0.,0259 0,.0665

0,.700 -2..3057 -2,.7423 -4,,0484 1,.950 0,.0085 0,.0244 0..0615

0,.725 -2,.2444 -2,.6484 -3,.8181 1,.975 0,.0248 0,,0245 0..0571

0..750 -2..1840 -2,.5547 -3,,5953 2,.000 0,.0364 0.,0205 0..0529

0,.775 -2,.1256 -2,.4615 -3,,3801 2,,025 0,.0158 0.,0181 0..0474

0,.800 -2..0680 -2,.3693 -3,.1726 2,.050 0,.0072 0.,0173 0,.0441

0,.825 -2,.0125 -2,.2782 -2,.9731 2,,075 0,.0244 0.,0157 0..0407

0,.850 -1,.9536 -2..1871 -2.,7809 2.,100 0..0184 0,.0175 0,.0365

0,.875 -1,.8399 -2,.0613 -2.,5858 2,,125 0..0064 0,,0146 0,,0329

0,.900 -1,.6693 -1,.8828 -2,,3385 2.,150 0,.0151 0,,0160 0,.0315

0,.925 -1,.3153 -1..5280 -1..9512 2,,175 0..0209 0,,0139 0,.0281

0..950 _ .8105 -1,.0742 -1,.4064 2.,200 _ .0004 0.,0128 0,.0244

0,.975 - .4675 .5839 .7918 2,,225 0..0000 0.,0093 0,,0224

1..000 o!.0424 _ .1388 _ ,2389 2,,250 0..0218 0,,0074 0,.0202

1,.025 0..2520 o!.1766 o\,1758 2,,275 . .0097 0.,0088 0,,0183

1,.050 0,.3263 0,.4055 0,,4410 2.,300 _ ,0065 0.,0095 0,,0163

1..075 0..5608 0,.5023 0,,5815 2,,325 0..0084 0,,0071 0,,0153

1..100 0,.4970 0,.5700 0,,6345 2,,350 0,.0133 0.,0058 0,,0135

1..125 0,.5045 0,.5560 0,,6356 2.,375 0..0148 0.,0042 0,,0116

1,.150 0..5016 0,.5341 0,,6071 2,,400 0..0182 0.,0031 0,,0093

1,.175 0,.5058 0,.4999 0,.5654 2,,425 0,.0136 0,.0032 0.,0095

1,.200 0,.3715 .4492 0,,5231 2.,450 0,.0075 0.,0033 0.,0079

1,.225 0,.3747 0,.4153 0,.4769 2,,475 0,.0146 0,,0019 0,,0057

1,.250 0..3380 0,.3671 0,.4339 2,,500 0,,0064 0.,0017 0,,0057

400-
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

^22^^11 =2.00 p* =0.105 X = 0.2500 ^22/^1= 1.50

R* '11 12 '22 R* '11 12 '22

0..025 -3 .9445 -3 .4296 -11,.3327 .275 0,.3038 0.,3504 0..4339

0,.050 -3,.9274 -3 .4376 -11,.2282 .300 0..2925 0,,3113 0.,4004

0..075 -3 .9020 -3,.4458 -11..0628 .325 0..2154 0.,2763 0.,3707

0,.100 -3 .8654 -3 .4560 -10..8469 .350 0..2078 0,,2494 0.,3451

0..125 -3,.8219 -3 .4685 -10,.5919 .375 0,.1776 0,,2261 0,,3213

0,.150 -3,.7699 -3 .4829 -10..3083 .400 0..1830 0,,2014 0.,3003

0,,175 -3,.7132 -3,.4991 -10..0050 .425 0..1513 0,,1855 0,,2789

0,.200 -3,.6504 -3,.5161 -9..6891 ,450 0..1538 0,,1641 0.,2605

0,,225 -3,.5848 -3,.5331 -9..3661 .475 0,.1153 0,,1518 0,,2419

0,,250 -3,.5151 -3,.5490 -9,,0398 ,500 0.,1223 0,,1380 0,,2258

0,,275 -3..4443 -3,.5614 -8.,7132 .525 0.,0902 0,,1264 0.,2130

0,,300 -3,.3707 -3,.5694 -8.,3882 .550 0..1045 0,,1149 0,,1981

0.,325 -3,.2973 -3,.5708 -8,,0662 ,575 0..0796 0,,1060 0,,1856

0,,350 -3,.2222 -3,.5650 -7,,7482 .600 0..0721 0,,0961 0,,1734

0,,375 -3..1480 -3..5481 -7,,4347 .625 0..0772 0,,0882 0,,1623

0,,400 -3,,0730 -3.,5224 -7,.1264 ,650 0.,0526 0,.0808 0,,1518

0.,425 -2..9994 -3..4862 -6,,8235 .675 0..0603 0.,0750 0,,1432

0,,450 -2..9255 -3,.4415 -6,,5264 ,700 0,.0321 0.,0666 0..1333

0,,475 -2..8532 -3.,3861 -6.,2351 .725 0,.0432 0,,0611 0,,1254

0,,500 -2..7811 -3,,3236 -5,,9499 .750 0,.0288 0.,0556 0,,1188

0,,525 -2..7107 -3,,2542 -5,,6709 .775 0..0463 0,,0521 0..1102

0,,550 -2,.6409 -3,,1795 -5,,3984 .800 0..0462 0.,0457 0..1043

0,,575 -2,.5727 -3,,0991 -5,,1323 .825 0..0332 0..0404 0.,0982

0.,600 -2,,5053 -3.,0153 -4.,8729 .850 0,,0387 0..0384 0.,0933

0,,625 -2,,4397 -2,,9287 -4,,6202 .875 0..0271 0.,0372 0.,0883

0,,650 -2,.3750 -2.,8401 -4,,3743 ,900 0..0178 0.,0355 0..0831

0,,675 -2,.3119 -2.,7496 -4,,1355 .925 .0216 0..0317 0..0795

0,,700 -2,,2500 -2,.6585 -3,,9037 .950 0,.0167 0..0284 0..0723

0,,725 -2,.1897 -2..5673 -3,,6792 .975 0,.0118 0..0276 0,,0671

0,,750 -2,,1307 -2..4761 -3,,4619 2..000 .0136 0..0268 0..0626

0,,775 -2,.0733 -2,,3856 -3,,2522 2..025 0..0072 0..0235 0..0590

0,,800 -2,,0172 -2,,2960 -3,,0500 2.,050 0,,0202 0.,0209 0..0538

0,,825 -1,,9626 -2..2074 -2,,8557 2,.075 0..0067 0.,0200 0..0511

0,,850 -1,,8994 -2,.1186 -2,,6685 2..100 0,.0048 0..0168 0..0455

0.,875 -1,.8123 -1.,9970 -2,,4786 2.,125 0,.0161 0..0186 0..0427

0.,900 -1,.6162 -1..8237 -2,,2377 2.,150 0..0029 0..0160 0..0383

0.,925 -1,,2782 -1,.4730 -1.,8655 2,.175 0..0150 0..0148 0..0348

0,,950 _ .8497 -1..0349 -1,,3358 2..200 0,.0014 0.,0140 0..0333

0,,975 ,4259 .5485 ,7449 2 .225 0,.0078 0..0112 0..0309

,000 . .0668 . .1060 _ ,2035 2,.250 .0115 0.,0119 0..0270

,025 o'..2401 o:.1974 o!,1972 2..275 .0262 0.,0106 0..0240

.050 0,,4141 0,.4225 0.,4546 2..300 0..0023 0.,0124 0..0208

,075 0,.4363 0,.5243 0.,5962 2..325 .0052 0..0104 0..0201

.100 0..4943 0,,5761 0.,6557 2..350 . .0020 0..0096 0..0180

,125 0,.5291 0,.5766 0.,6580 2..375 o:.0011 0..0053 0.,0152

.150 0,,4571 0,.5535 0..6345 2..400 . .0003 0.,0066 0,,0132

,175 0..4292 0,.5158 0..5951 2 .425 0^.0024 0,,0037 0.,0117

,200 0,.4085 0,.4720 0..5531 2..450 0,.0049 0.,0038 0.,0107

.225 0,.3944 0,.4297 0,.5101 2,.475 .0005 0.,0042 0,,0090

.250 0,.3363 .3833 0..4671 2..500 .0076 0,,0035 0,,0071

-401
'^22/^^11 = 2.00 p* =0. 131 ^r 0.5000 ^22/^11= 1.50

R* ^11 ^12 ^22 R* ^11 ^12 ^22

025 -3 6119 -3 0511 -10 0298 1.275 0.2879 0.3467 4220

050 -3 5949 -3 0593 -9 9304 1.300 0.2562 0.3097 3915

075 -3 5707 -3 0672 -9 7742 1.325 0.2228 0.2813 3621

100 -3 5353 -3 0768 -9 5718 1.350 0.2143 0.2572 3327

125 -3 4942 -3 0888 -9 3344 1.375 0.1832 0.2311 3075

150 -3 4449 -3 1026 -9 0723 1.400 0.1671 0.2067 2802

175 -3 3919 -3 1186 -8 7938 1.425 0.1486 0.1895 2609

200 -3 3332 -3 1356 -8 5056 1.450 0.1441 0.1714 2404

225 -3 2726 -3 1531 -8 2123 1.475 0.1206 0.1590 2177

250 -3 2082 -3 1702 -7 9174 1.500 0.1196 0.1449 2043

275 -3 1434 -3 1847 -7 6234 1.525 0.0912 0.1306 1864

300 -3 0763 -3 1955 -7 3319 1.550 0.0876 0.1193 1753

325 -3 0097 -3 2004 -7 0441 1.575 0.0819 0.1117 1628

350 -2 9418 -3 1987 -6 7608 1.600 0.0745 0.1007 1520

375 -2 8750 -3 1870 -6 4825 1.625 0.0573 0.0946 1426

400 -2 8076 -3 1670 -6 2095 1.650 0.0553 0.0883 1303

425 -2 7416 -3 1371 -5 9421 1.675 0.0604 0.0819 1210

450 -2 6756 -3 0992 -5 6805 1.700 0.0485 0.0747 1121

475 -2 6111 -3 0515 -5 4249 1.725 0.0393 0.0696 1027

500 -2 5469 -2 9974 -5 1753 1.750 0.0402 0.0654 0960

525 -2 4844 -2 9367 -4 9318 1.775 0.0423 0.0597 0897

550 -2 4223 -2 8713 -4 6944 1.800 0.0293 0.0535 0836

575 -2 3619 -2 8007 -4 4632 1.825 0.0228 0.0492 0791

600 -2 3022 -2 7272 -4 2381 1.850 0.0302 0.0476 0728

625 -2 2441 -2 6510 -4 0194 1.875 0.0255 0.0431 0675

650 -2 1870 -2 5731 -3 8069 1.900 0.0249 0.0410 0646

675 -2 1313 -2 4936 -3 6008 1.925 0.0284 0.0372 0579

700 -2 0767 -2 4135 -3 4011 1.950 0.0224 0.0332 0539

725 -2 0236 -2 3333 -3 2079 1.975 0.0206 0.0300 0489

750 . 1 9717 -2 2532 -3 0213 2.000 0.0176 0.0278 0475

775 -1 9211 -2 1737 -2 8414 2.025 0.0204 0.0280 0413

800 . "]_ 8718 -2 0950 -2 6683 2.050 0.0165 0.0238 0421

825 -1 8236 -2 0174 -2 5021 2.075 0.0164 0.0231 0360

850 .]_ 7713 -1 9397 -2 3425 2.100 0.0142 0.0210 0344

875 -1 6820 -1 8311 -2 1802 2.125 0.0110 0.0215 0315

900 -1 5010 -1 6743 -1 9741 2.150 0.0121 0.0180 0266

925 -1 1801 -1 3516 -1 6494 2.175 0.0131 0.0163 0247

950 . 7917 - 9456 -1 1821 2.200 0.0094 0.0146 0229

975 - 3816 - 4998 6512 2.225 0.0028 0.0150 0197

1 000 - 0396 _ 0805 _ 1689 2.250 0.0035 0.0132 0187

1 025 1976 2066 2047 2.275 0.0068 0.0124 0150

1 050 3556 4201 4456 2.300 0.0054 0.0143 0157

1 075 4385 5096 5795 2.325 0.0051 0.0126 0142

1 100 4775 5660 6364 2.350 0.0045 0.0119 0122

1 125 4635 5620 6388 2.375 0.0028 0.0095 0090

1 150 4557 5438 6157 2.400 0.0076 0.0105 0076

1 175 4437 5050 5827 2.425 0.0033 0.0090 0068

1 200 3934 4617 5433 2.450 0.0040 0.0074 0058

1 225 3520 4231 5014 2.475 0.0081 0.0071 0. 0068

1 250 3303 3837 4602 2.500 0.0043 0.0071 0. 0057

-402
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

^22^^11 =2.00 p* =0.160 x^= 0.7500 ^22/^1= 1.50

R* '11 12 '22 R* '11 12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

2.8160

2.8030

•2.7832

-2.7558

-2.7233

2.6856

•2.6446

.6005

.5546

.5071

.4589

.4101

•2.3612

•2.3124

.2639

.2161

.1686

.1221

.0761

.0313

.9870

•1.9440

1.9014

-1.8603

-1.8196

-1.7804

-1.7416

-1.7043

-1.6674

-1.6320

-1.5970

-1.5635

-1.5302

-1.4939

-1.4235

-1.2772

-1.0108

-.6653

-.3284

-.0273

0.1867

0.3312

0.4071

0.4428

0.4363

0.4275

0.3999

0.3708

0.3358

0.3104

•2.2681

•2.2716

•2.2774

•2.2850

•2.2949

•2.3065

3203

3353

3514

3676

3828

3957

2.4044

2.4085

2.4052

2.3957

3786

3554

3251

2900

2499

•2.2064

2.1592

2.1098

,0586

,0061

,9526

,8986

,8447

,7908

,7374

,6846

6325

,5804

,5019

•1.3823

•1.1242

-.7951

-.4127

-.0616

0.1903

0.3869

0.4744

0.5274

0.5239

0.5131

0.4729

0.4406

0.3996

0.3623

7.0679

6.9905

6.8696

7141

5337

3365

1293

9169

7028

4895

2786

5.0711

4.8679

4.6692

4.4754

4.2865

1027

9239

7501

5813

4175

2586

1046

9554

8110

2.6714

2.5365

2.4064

2.2810

2.1603

2 . 0444

9333

8271

7254

6220

4853

2544

-.9000

-.4938

-.1017

0.1978

0.3992

0.5202

0.5727

0.5701

0.5650

0.5342

0.4964

0.4694

0.4169

1.275

1.300

1.325

1.350

1.375

1.400

425

450

475

500

525

550

575

600

625

650

675

700

725

750

775

800

825

850

1.875

900

925

950

975

000

025

050

075

100

125

150

175

200

225

2.250

2.275

,300

,325

,350

,375

,400

2.425

2.450

2.475

2.500

0.2767

0.2523

0.2255

0.2082

0.1818

0.1623

0.1437

0.1331

0.1209

0.1024

0.1030

0.0871

0.0791

0.0728

0.0662

0.0609

0.0532

0.0504

0.0499

0.0403

0.0394

0.0302

0.0288

0.0295

0.0275

0.0231

0.0217

0.0190

0.0135

0.0121

0.0130

0.0092

0.0087

0.0105

0.0118

0.0068

0.0108

0.0090

0.0061

0.0082

0.0049

0.0073

0.0021

0.0042

0.0040

0.0028

-.0008

-.0019

0.0014

0.0008

0.3298

0.2996

0.2683

0.2390

0.2184

0.1970

0.1786

0.1585

0.1470

0.1347

0.1213

0.1121

0.1030

0.0924

0.0827

0.0765

0.0699

0.0626

0.0598

0.0555

0.0490

0.0447

0.0400

0.0387

0.0346

0.0327

0.0305

0.0266

0.0227

0.0215

0.0199

0.0200

0.0153

0.0119

0.0120

0.0117

0.0120

0.0106

0.0100

0.0081

0.0073

0.0081

0.0058

0.0031

0.0040

0.0032

0.0028

0.0005

0.0018

0.0023

0.3953

0.3523

0.3382

0.3021

0.2803

0.2533

0.2318

0.2136

0.1922

0.1749

0.1655

0.1448

0.1316

0.1242

0.1070

0.0954

0.0974

0.0842

0.0786

0.0709

0.0626

0.0615

0.0593

0.0485

0.0454

0.0434

0.0408

0.0381

0.0344

0.0323

0.0257

0.0337

0.0278

0.0217

0.0184

0.0198

0.0195

0.0171

0.0120

0.0096

0.0132

0.0050

0.0049

0.0065

0.0065

0.0050

0.0025

0.0018

0.0040

0.0022

403-
^^22/^11 = 2.00 p* =0. 167 ^r 0.9001 ^22/^ir 1.50

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0..025 -2,.1700 -1.7152 -4,.9402 1.275 0.2739 0.3094 .3598

0,,050 -2,.1607 -1.7176 -4,.8816 1.300 0.2440 0.2834 0,.3431

0,.075 -2,.1456 -1.7220 -4,.7906 1.325 0.2175 0.2573 0,.2913

0..100 -2,.1257 -1.7280 -4,.6744 1.350 0.2024 0.2277 0,.2817

0,.125 -2,.1015 -1.7358 -4,.5405 1.375 0.1813 0.2076 0,.2561

0..150 -2,.0743 -1.7452 -4,.3956 1.400 0.1583 0.1889 0,.2291

0,.175 -2..0445 -1.7564 -4,.2444 1.425 . 1444 0.1701 .1917

0,.200 -2,.0131 -1.7689 -4..0908 1.450 0.1264 0.1452 .1732

0..225 -1,.9802 -1.7825 -3,.9372 1.475 0.1161 0.1362 0,.1629

0,.250 -1,.9469 -1.7965 -3..7854 1.500 0.1096 0.1245 .1507

0..275 -1,.9129 -1.8101 -3,.6364 1.525 0.0974 0.1118 .1538

0,.300 -1,.8792 -1.8224 -3..4910 1.550 0.0910 0.1008 .1302

0,.325 -1,.8453 -1.8317 -3,.3497 1.575 0.0792 0.0915 .1095

0,.350 -1,.8119 -1.8376 -3..2127 1.600 0.0684 0.0847 .1175

0,.375 -1,.7788 -1.8384 -3..0801 1.625 0.0699 0.0735 .0976

0,.400 -1,.7465 -1.8345 -2..9519 1.650 0.0624 0.0672 .0881

0,.425 -1,.7145 -1.8250 -2,,8281 1.675 0.0534 0.0597 .0776

0..450 -1,.6833 -1.8112 -2.,7087 1.700 0.0472 0.0583 .0718

0..475 -1..6527 -1.7923 -2,,5935 1.725 0.0457 0.0533 0,.0706

0,.500 -1,.6229 -1.7699 -2,,4824 1.750 0.0404 0.0492 0,.0657

0,.525 -1..5936 -1.7440 -2.,3754 1.775 0.0402 0.0412 0,.0648

0,.550 -1,.5653 -1.7158 -2..2723 1.800 0.0334 0.0403 0,.0589

0,.575 -1,.5374 -1.6850 -2,,1730 1.825 0.0351 0.0356 0,.0476

0,.600 -1,.5105 -1.6528 -2,,0774 1.850 0.0255 0.0331 0,.0494

0..625 -1,.4841 -1.6194 -1,,9854 1.875 0.0255 0.0326 0,.0421

0,.650 -1,.4586 -1.5852 -1,,8969 1.900 0.0266 0.0279 0,.0345

0..675 -1,.4335 -1.5503 -1,,8118 1.925 0.0212 0.0229 0,.0488

0..700 -1,.4094 -1.5152 -1.,7302 1.950 0.0187 0.0243 0,.0340

0,.725 -1,.3856 -1.4802 -1,,6519 1.975 0.0161 0.0213 0..0363

0,.750 -1,.3629 -1.4453 -1.,5770 2.000 0.0145 0.0214 0..0215

0,.775 -1,.3405 -1.4108 -1,,5054 2.025 0.0177 0.0188 0,,0306

0..800 -1,.3191 -1.3767 -1,,4370 2.050 0.0134 0.0182 0,,0275

0,.825 -1,.2979 -1.3432 -1,,3719 2.075 0.0128 0.0134 0,,0218

0,.850 -1,.2732 -1.3094 -1.,3097 2.100 0.0102 0.0136 0,,0188

0,.875 -1,.2236 -1.2535 -1,,2454 2.125 0.0074 0.0112 0,,0167

0,.900 -1,.0979 -1.1625 -1,,1523 2.150 0.0087 0.0125 0.,0093

0,.925 .8764 -.9463 - ,9827 2.175 0.0081 0.0073 0,,0138

0,.950 .5806 -.6675 _ ,7054 2.200 0.0084 0.0070 0..0127

0,.975 .2770 -.3373 ,3748 2.225 0.0027 0.0044 0..0152

1,.000 _ .0147 -.0411 _ ,0460 2.250 0.0050 0.0046 0,,0158

1..025 o:.1735 0.1868 o'..2115 2.275 0.0033 0.0049 0,,0167

1,.050 0,.3122 0.3620 0,,3875 2.300 0.0022 0.0037 0.,0175

1,.075 0,.3860 0.4393 0,,4932 2.325 0.0046 0.0039 0,,0044

1,.100 0,.4132 0.4835 0,,5301 2.350 0.0027 0.0036 0,,0137

1..125 0,.4200 0.4815 0,,5390 2.375 0.0033 0.0016 0.,0091

1,.150 0,.4095 0.4718 0.,5316 2.400 0.0023 0.0020 0. 0070

1,.175 0,.3864 0.4452 0,,5082 2.425 -.0009 0.0014 0.,0143

1,.200 0,.3597 0.4137 0,,4891 2.450 -.0007 0.0003 0. 0116

1 .225 0,,3307 0.3754 0,,4243 2.475 0.0002 0.0008 0. 0074

1,.250 0..3011 0.3416 0,,3998 2.500 0.0002 0.0003 0. 0051

404
DIRECT CORRELATION FUNCTIONS FOR T* = 3 . ^22/^^11 '2.00 p* =0.167 x^= 0.9502 ^22/^11= 1.50

R* '11 12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

9687

9605

9472

9297

9085

8847

8587

1.8314

8030

7743

7451

7162

6873

6589

6308

6033

5763

5499

•1.5241

1.4990

•1.4745

1.4506

1.4274

,4047

,3827

,3614

,3406

3204

3009

,2819

2635

2456

2282

2077

1610

0481

-.8354

-.5546

-.2656

-.0175

0.1708

0.2946

0.3664

0.4017

0.4068

0.3900

0.3705

0.3456

0.3158

0.2834

1.5683

1.5705

•1.5745

1.5800

1.5870

•1.5955

1.6056

•1.6169

•1.6293

1.6421

1.6547

1.6662

1.6751

6810

6824

6797

6720

6605

1.6445

1.6256

1.6035

1.5793

1.5531

1.5256

1.4970

1.4678

1.4381

1.4083

1.3785

1.3490

1.3198

1.2910

1.2627

1.2343

1.1846

1.1013

-.8978

-.6334

-.3220

-.0319

0.1829

0.3462

0.4245

0.4694

0.4729

0.4608

0.4380

0.4014

0.3753

0.3369

4.3623

4.3094

4.2273

4.1228

0026

8727

7376

6006

4641

3297

1983

0705

9467

8270

7114

6000

4925

3889

2891

1930

1005

2.0115

,9259

,8436

.7647

,6889

,6164

,5470

,4807

,4175

1.3573

1.3002

1.2460

1.1945

1.1430

•1.0530

-.8949

-.6662

-.3530

-.0238

0.2033

0.4094

0.5160

0.5385

0.5635

0.5291

0.5010

0.4395

0.4632

0.4107

1.275

1.300

1.325

1.350

1.375

1.400

1.425

1.450

1.475

1.500

1.525

1.550

1.575

1.600

1.625

1.650

1.675

1.700

1.725

750

775

800

825

850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

,050

,075

100

,125

,150

,175

200

225

250

,275

,300

,325

,350

375

,400

,425

2.450

2.475

2.500

0.2614

0.2372

0.2141

0.1894

0.1748

0.1593

0.1423

0.1262

0.1137

0.1012

0.0952

0.0865

0.0772

0.0677

0.0621

0.0537

0.0510

0.0476

0.0439

0.0394

0.0360

0.0322

0.0314

0.0257

0.0220

0.0221

0.0186

0.0185

0.0150

0.0128

0.0160

0.0120

0.0131

0.0083

0.0103

0.0082

0.0063

0.0068

0.0033

0.0028

0.0051

0.0023

0.0037

0.0019

0.0014

0.0003

0.0006

0.0010

-.0006

0.0004

0.3082

0.2810

0.2476

0.2280

0.2002

0.1805

0.1668

0.1454

0.1391

0.1241

0.1130

0.1027

0.0938

0.0874

0.0798

0.0679

0.0632

0.0609

0.0538

. 0440

. 0444

0.0365

0.0322

0.0298

0.0287

0.0236

0.0195

0.0171

0.0167

0.0134

0.0121

0.0128

0.0103

0.0064

0.0083

0.0099

0.0070

0.0060

0.0068

0.0069

0.0043

0.0017

0.0018

-.0003

0.0005

-.0017

-.0042

-.0033

-.0018

-.0020

0.3585

0.3189

0.3056

0.2695

0.2558

0.2373

0.2220

0.1748

0.1696

0.1629

0.1417

0.1560

0.1425

0.1070

0.0900

0.1083

0.0996

0.0859

0.0979

0.0507

0.0609

0.0445

0.0353

0.0294

0.0445

0.0263

0.0325

0.0317

0.0262

0.0227

0.0198

0.0450

0.0132

0.0298

0.0268

0.0279

0.0277

0.0105

0.0175

0.0001

0.0253

-.0056

0.0233

0.0105

0.0188

0.0056

0.0029

0.0035

0.0101

0.0071

-405-
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

^^22/^11 = 2.00 p* =0. 096 ^r 0.0498 ^22/^ir 2.00

R* ^11 ^12 ^22 R* ^11 ^12 ^^22

0.025 -4,,9353 -4.3214 -16,.0210 .275 0.3304 0.3875 .5149

0.050 -4,,9134 -4.3308 -15,.8658 .300 0.2823 0.3436 0..4742

0.075 -4,,8779 -4.3408 -15,.6200 ,325 0.1996 0.3051 0..4377

0.100 -4,,8290 -4.3535 -15,.2996 .350 0.2083 0.2756 0..4071

0.125 -4,,7689 -4.3695 -14,.9218 .375 0.2074 0.2474 0..3758

0.150 -4,,6986 -4.3879 -14..5028 .400 0.1401 0.2268 0..3482

0.175 -4.,6202 -4.4091 -14,.0562 .425 0.1901 0.2068 0..3233

0.200 -4,,5347 -4.4316 -13,.5924 .450 0.1733 0.1820 0..2995

0.225 -4,,4440 -4.4547 -13 .1195 .475 0.1425 0.1682 0..2762

0.250 -4,,3490 -4.4770 -12..6430 .500 0.0719 0.1538 0..2568

0.275 -4,,2511 -4.4953 -12..1668 .525 0.1643 0.1435 0..2351

0.300 -4,,1510 -4.5083 -11..6934 ,550 0.0997 0.1340 0..2162

0.325 -4,,0497 -4.5130 -11..2247 ,575 0.1318 0.1208 0..1977

0.350 -3,,9476 -4.5085

-4.4889

-10..7619 ,600 0.1099 0.1145 0..1807

0.375 -3,,8455 -10..3056 ,625 0.0704 0.1026 0..1659

0.400 -3,,7437 -4.4570 -9..8566 ,650 0.0850 0.0929 0..1513

0.425 -3,,6426 -4.4106 -9..4151 ,675 0.0489 0.0849 0..1388

0.450 -3,,5424 -4.3516 -8..9817 ,700 0.0390 0.0757 0..1273

0.475 -3,,4434 -4.2771 -8..5565 ,725 0.0598 0.0682 0..1188

0.500 -3,,3457 -4.1922 -8..1400 ,750 0.0357 0.0628 0.,1111

0.525 -3.,2496 -4.0968 -7..7323 ,775 0.0438 0.0547 0..1043

0.550 -3.,1550 -3.9936 -7..3338 ,800 -.0037 0.0513 0..0986

0.575 -3,,0621 -3.8818 -6..9448 ,825 0.0495 0.0441 0..0947

0.600 -2.,9709 -3.7650 -6..5656 .850 0.0012 0.0406 0..0907

0.625 -2,,8816 -3.6439 -6..1965 .875 -.0049 0.0384 0..0863

0.650 -2,,7941 -3.5199 -5..8376 .900 0.0677 0.0352 0..0824

0.675 -2,,7085 -3.3931 -5..4894 .925 0.0450 0.0311 0..0772

0.700 -2,,6248 -3.2653 -5..1519 ,950 0.0681 0.0331 0..0721

0.725 -2..5431 -3.1372 -4..8254 ,975 0.0477 0.0265 0..0665

0.750 -2,,4633 -3.0092 -4..5101 2!,000 0.0297 0.0261 0.,0607

0.775 -2.,3856 -2.8821 -4..2062 2,,025 0.0509 0.0270 0..0554

0.800 -2,,3099 -2.7563 -3..9137 2,,050 0.0152 0.0237 0..0514

0.825 -2,,2324 -2.6325 -3..6329 2,,075 0.0140 0.0205 0,.0458

0.850 -2,.1501 -2.5100 -3..3640 2,,100 0.0237 0.0196 0,.0404

0.875 -2,.0262 -2.3648 -3..1045 2,,125 0.0255 0.0223 0,.0369

0.900 -1..8059 -2.1750 -2..8293 2,,150 -.0002 0.0202 0,.0327

0.925 -1..4065 -1.8026 -2..4529 2.,175 -.0251 0.0192 0.,0306

0.950 . .8832 -1.3137 -1..8836 2,,200 -.0134 0.0147 0,,0272

0.975 . .5399 -.7270 -1..1605 2.,225 -.0021 0.0125 0,,0249

1.000 0..0443 -.1713 . .4342 2,,250 -.0299 0.0128 0,.0231

1.025 0,.2321 0.2047 0..1492 2,.275 0.0084 0.0123 0,,0213

1.050 0,.4227 0.4980 0..5367 2,,300 -.0301 0.0119 0,,0181

1.075 0,.5164 0.6107 0..7503 2,,325 -.0067 0.0101 0.,0168

1.100 0,.5630 0.6766 0..8310 2,,350 -.0102 0.0060 0,,0141

1.125 .6327 0.6699 0..8346 2.,375 -.0069 0.0073 0.,0128

1.150 .5309 0.6471 0..7967 2.,400 -.0200 0.0095 0,,0110

1.175 .4259 0.5873 0..7385 2,,425 -.0047 0.0051 0.,0093

1.200 .4434 0.5257 0..6758 2.,450 0.0076 0.0043 0,,0071

1.225 .3958 0.4829 0..6166 2.,475 -.0030 0.0020 0,,0057

1.250 .3095 0.4221 0.,5641 2.,500 0.0102 0.0013 0,,0040

406-
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

^22/^11 2.00 p* =0.099 0.0999 ^22/^11= 2.00

R*

11 12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

.000

.025

.050

.075

.100

.125

1.150

1.175

1.200

1.225

1.250

4.8796

4.8576

4.8237

4.7748

4.7162

4.6462

4.5695

4845

3955

3012

2050

1056

0060

9047

8043

7033

6038

5045

3.4071

3.3104

2157

1221

0306

9405

8525

7660

6817

5991

5186

2.4399

2.3634

2886

2161

1363

0076

8219

1.4272

-.9135

-.4782

- . 1440

0.2122

0.4150

0.4208

0.4337

0.4720

0.4519

0.4177

0.3625

0.2953

0.3256

2422

2602

2725

2864

3030

3220

3436

4.3665

4.3900

4.4126

4.4314

4.4450

4.4503

4.4466

4.4279

4.3970

4.3516

4.2939

4.2207

4.1372

0433

9417

8315

7165

5972

4750

3500

2240

0978

9717

8464

7224

6002

4793

3358

1479

1.7765

1.2930

-.7213

-.1785

0.2038

0.4943

0.6228

0.6806

0.6783

0.6479

0.6001

0.5407

0.4881

0.4419

15.7748

15.6207

15.3769

15.0594

14.6854

14.2709

13.8293

13.3711

12.9040

12.4335

11.9634

11.4964

11.0340

10.5775

10.1276

-9.6850

-9.2499

-8.8229

-8.4041

-7.9939

-7.5925

-7.2002

-6.8172

-6.4438

-6.0804

-5.7270

-5.3841

-5.0518

-4.7303

-4.4197

-4.1202

-3.8321

-3.5554

-3.2904

-3.0347

-2.7636

-2.3933

1.8343

•1.1185

-.4030

0.1803

0.5630

0.7760

0.8579

0.8626

0.8254

0.7688

0.7095

0.6492

0.5963

275

300

325

350

375

400

425

1.450

1.475

1.500

1.525

1.550

1.575

600

625

650

675

700

725

750

775

800

825

850

875

900

925

1.950

1.975

2.000

2.025

2.050

2.075

2.100

2.125

2.150

175

200

225

250

275

2.300

2.325

2.350

2.375

2.400

2.425

2.450

2.475

2.500

0.2406

0.2476

0.1657

0.1666

0.1895

0.1939

0.1465

0.0842

0.0725

0.1501

0.1357

0.0949

0.1196

0.0905

0.0761

0.0653

0.0641

0.0978

0.0489

0.0543

0.0171

0.0436

0.0370

0.0283

0.0360

0.0343

0.0456

0.0297

0.0495

0.0183

0.0279

0.0010

0.0162

0.0000

0.0166

0.0155

0.0321

-.0010

-.0035

-.0193

-.0036

-.0105

0.0038

-.0436

0.0145

-.0147

-.0082

-.0136

-.0028

0.0110

0.3924

0.3563

0.3150

0.2806

0.2538

0.2302

0.2121

0.1964

0.1756

0.1612

0.1532

0.1377

0.1248

0.1145

0.1086

0.1035

0.0912

0.0822

0.0779

0.0692

0.0662

0.0599

0.0545

0.0488

0.0453

0.0416

0.0408

0.0384

0.0328

0.0344

0.0292

0.0326

0.0290

0.0281

0.0275

0.0228

0.0229

0.0220

0.0189

0.0177

0.0158

0.0131

0.0121

0.0132

0.0118

0.0079

0.0056

0.0075

0.0051

0.0064

0.5494

0.5091

0.4709

0.4382

0.4078

0.3805

0.3552

0.3308

0.3080

0.2879

0.2663

0.2475

0.2283

0.2112

0.1935

0.1804

0.1663

0.1550

0.1443

0.1360

0.1285

0.1227

0.1171

0.1112

0.1045

0.0995

0.0932

0.0892

0.0824

0.0754

0.0691

0.0638

0.0573

0.0525

0.0477

0.0416

0.0382

0.0360

0.0312

0.0285

0.0257

0.0240

0.0217

0.0188

0.0163

0.0146

0.0117

0.0103

0.0082

0.0059

-407
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

^22/^11 = 2.00 p* =0. 110 ^r 0.2500 ^22/^ir 2.00

R*

'^ll ^12 ^22 R* ^11 ^=12 ^22

0,.025 -4,.5474 -3.9057 -14 .2474 1.275 0.2866 0.4045 .5806

0,,050 -4,.5271 -3.9202 -14 .1051 1.300 0.2620 0.3612 .5345

0,.075 -4,.4948 -3.9309 -13 .8805 1.325 0.2322 0.3317 0,.4989

0,.100 -4,.4496 -3.9432 -13 .5887 1.350 0.1987 0.2985 .4611

0,.125 -4,.3948 -3.9582 -13 .2458 1.375 0.1810 0.2756 .4316

0,.150 -4,.3302 -3.9755 -12 .8665 1.400 0.1487 0.2492 .4019

0..175 -4,.2591 -3.9954 -12 .4632 1.425 0.1509 0.2276 .3746

0,.200 -4,.1811 -4.0167 -12 .0453 1.450 0.1352 0.2090 .3512

0,.225 -4,.0992 -4.0387 -11 .6198 1.475 0.1142 0.1966 .3263

0,.250 -4..0128 -4.0601 -11 .1917 1.500 0.1127 0.1797 .3045

0,.275 -3,.9248 -4.0785 -10 .7646 1.525 0.0889 0.1672 .2824

0,.300 -3..8340 -4.0923 -10,.3407 1.550 0.0884 0.1531 .2641

0,.325 -3,,7431 -4.0988 -9,.9216 1.575 0.0758 0.1417 0,.2465

0,.350 -3..6508 -4.0970 -9 .5085 1.600 0.0832 0.1317 0,.2314

0,.375 -3,.5593 -4.0819 -9 .1020 1.625 0.0758 0.1207 0,.2143

0,.400 -3..4673 -4.0555 -8 .7026 1.650 0.0497 0.1106 .2001

0,.425 -3,.3768 -4.0157 -8 .3106 1.675 0.0495 0.1030 .1869

0,,450 -3,,2863 -3.9646 -7,.9265 1.700 0.0538 0.0954 0,.1738

0,,475 -3.,1978 -3.8994 -7 .5503 1.725 0.0373 0.0878 0,.1620

0,,500 -3,,1096 -3.8248 -1

.1823 1.750 0.0296 0.0799 0,.1541

0,.525 -3,,0237 -3.7406 -6 .8227 1.775 0.0254 0.0751 0,.1427

0,,550 -2,,9383 -3.6492 -6 .4716 1.800 0.0464 0.0682 0.,1364

0.,575 -2,,8553 -3.5500 -6 .1293 1.825 0.0218 0.0668 0,,1290

0,,600 -2,,7730 -3.4463 -5,.7958 1.850 0.0261 0.0603 0.,1209

0,,625 -2,,6932 -3.3385 -5,.4714 1.875 0.0379 0.0585 0,,1137

0,,650 -2,,6141 -3.2280 -5,.1561 1.900 0.0253 0.0572 0.,1082

0,,675 -2,,5376 -3.1150 -4,.8502 1.925 0.0236 0.0523 0,,1006

0,,700 -2,.4620 -3.0010 -4,.5537 1.950 0.0174 0.0488 0,,0951

0,,725 -2,.3890 -2.8866 -4..2668 1.975 0.0339 0.0477 0,,0904

0.,750 -2,.3169 -2.7724 -3,.9896 2.000 0.0116 0.0438 0.,0814

0,,775 -2,.2475 -2.6588 -3,,7224 2.025 0.0140 . 0404 0,,0766

0.,800 -2,.1790 -2.5464 -3,,4652 2.050 0.0206 0.0384 0,,0703

0,,825 -2,.1132 -2.4358 -3,,2182 2.075 0.0092 0.0377 0,,0640

0,,850 -2,.0431 -2.3264 -2,.9816 2.100 0.0206 0.0347 0,,0598

0,,875 -1,.9293 -2.1959 -2,,7534 2.125 0.0136 0.0331 0.,0522

0,,900 -1,.7085 -2.0251 -2,,5109 2.150 0.0163 0.0304 0,,0474

0,,925 -1,.3519 -1.6756 -2,.1763 2.175 0.0107 0.0295 0..0433

0,,950 _ .9005 -1.2217 -1..6648 2.200 0.0100 0.0251 0..0423

0,,975 . .4508 -.6736 -1..0051 2.225 0.0145 0.0264 0..0373

.000 - .1224 -.1554 . .3346 2.250 0.0221 0.0226 0. 0330

.025 0!.2000 0.2128 0!.2187 2.275 0.0075 0.0229 0. 0293

.050 0,.3620 0.4850 0..5824 2.300 0.0084 0.0217 0. 0275

.075 0,.4817 0.6062 0,,7874 2.325 0.0124 0.0195 0. 0234

.100 0,.4922 0.6770 0..8761 2.350 0.0212 0.0162 0. 0196

.125 0,.5234 0.6632 0..8842 2.375 0.0090 0.0148 0. 0188

.150 0,.4562 0.6448 0.,8487 2.400 0.0082 0.0155 0. 0157

.175 0,.4437 0.5964 0,.7986 2.425 0.0036 0.0128 0. 0134

.200 0,,4149 0.5425 0..7398 2.450 0.0127 0.0129 0. 0109

.225 0,,3299 0.4973 0,.6793 2.475 0.0094 0.0100 0. 0093

.250 0,,3237 0.4525 0..6266 2.500 0.0029 0.0086 0. 0084

-408-
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

a /a - 2.00 p* =0.143 x = 0.5000 ^22/^1= 2.00

R*

11 12 '22 R* '11 12 '22

0,.025 -4 .3543 -3 .6510 -13..4861 ,275 0.,2789 0.,4001 0,,5699

0,.050 -4 .3332 -3 .6619 -13..3426 ,300 0.,2540 0,,3573 0,,5248

0.,075 -4 .3001 -3 .6719 -13..1174 ,325 0.,2187 0,,3246 0,,4866

0,.100 -4 .2542 -3 .6840 -12.,8266 ,350 0.,1946 0.,2945 0,,4515

0..125 -4 .1991 -3,.6989 -12.,4869 ,375 0.,1742 0,,2668 0.,4151

0,.150 -4 .1346 -3 .7164 -12.,1134 ,400 0.,1610 0.,2400 0.,3870

0,,175 -4,.0638 -3,.7369 -11.,7183 ,425 0.,1332 0.,2207 0,,3587

0,,200 -3,.9868 -3,,7591 -11.,3108 ,450 0.,1321 0.,2014 0.,3359

0,,225 -3,.9061 -3,,7824 -10.,8977 ,475 0.,1212 0,,1845 0,,3096

0..250 -3,.8219 -3,,8056 -10.,4836 ,500 0,,1022 0.,1656 0.,2913

0.,275 -3,.7358 -3,,8265 -10.,0717 ,525 0,,0886 0.,1528 0,,2677

0.,300 -3 .6480 -3,,8433 -9.,6642 ,550 0,,0823 0.,1400 0.,2496

0.,325 -3 .5597 -3,,8531 -9.,2625 ,575 0.,0705 0.,1292 0,,2344

0,,350 -3 .4710 -3,,8549 -8.,8675 ,600 0.,0660 0.,1214 0,,2179

0,,375 -3,.3826 -3,,8436 -8.,4799 ,625 0,,0685 0.,1123 0,,2046

0,,400 -3,.2947 -3,,8213 -8.,1001 ,650 0.,0539 0.,1066 0.,1925

0.,425 -3,.2076 -3,,7854 -7,,7283 ,675 0.,0521 0.,0956 0,,1756

0,,450 -3,.1215 -3,,7385 .-7.,3648 ,700 0.,0494 0.,0880 0.,1664

0,,475 -3,,0365 -3,,6779 -7,,0097 ,725 0.,0512 0.,0802 0.,1553

0.,500 -2,.9530 -3,,6081 -6,,6630 ,750 0.,0433 0.,0742 0.,1450

0,,525 -2.,8706 -3,,5289 -6.,3249 ,775 0..0445 0.,0715 0.,1352

0,,550 -2,,7900 -3,,4429 -5.,9954 ,800 0,,0310 0.,0653 0..1258

0,,575 -2,,7105 -3.,3494 -5,,6745 ,825 0.,0339 0.,0590 0..1204

0,,600 -2,,6330 -3,,2516 -5,,3624 ,850 0,,0331 0.,0561 0.,1141

0,,625 -2,,5567 -3.,1500 -5,,0592 .875 0.,0254 0..0516 0.,1049

0,,650 -2,.4826 -3,,0458 -4,,7649 ,900 0.,0253 0..0464 .1008

0,,675 -2,,4096 -2,,9393 -4.,4796 ,925 0,,0227 0..0456 .0919

0.,700 -2,,3388 -2,,8318 -4.,2034 ,950 0,,0175 0..0429 .0865

0.,725 -2,,2693 -2.,7242 -3,,9363 ,975 0,,0181 0..0402 .0824

0.,750 -2,,2020 -2.,6167 -3.,6786 2,,000 0.,0214 0..0383 .0777

0.,775 -2,,1359 -2.,5099 -3,,4302 2,,025 0.,0178 0..0373 0..0679

0,,800 -2.,0722 -2,,4043 -3,,1915 2,,050 0,,0164 0..0355 .0640

0,,825 -2,,0095 -2.,3005 -2,,9625 2,,075 0.,0129 0..0313 .0579

0,,850 -1,,9438 -2,,1979 -2,,7434 2.,100 0.,0115 .0288 0..0527

0,,875 -1,,8373 -2,,0758 -2.,5323 2,,125 0.,0110 0..0279 .0519

0.,900 -1,,6343 -1.,9164 -2,,3089 2.,150 0.,0088 0..0252 0..0440

0,,925 -1,,2903 -1,,5832 -2,,0027 2,,175 0.,0088 0.,0249 0..0417

0.,950 _ ,8562 -1.,1524 -1,,5325 2.,200 0.,0005 0.,0221 0..0375

0,,975 - ,4312 ,6306 ,9262 2.,225 0.,0094 0..0209 0..0342

,000 . ,0632 . ,1350 _ ,3080 2,,250 0.,0133 0.,0206 0..0317

,025 0!,1809 0;,2171 0.,1971 2,,275 0.,0000 0.,0194 0.,0275

,050 0,,3466 0,,4791 0.,5547 2.,300 0.,0106 0.,0178 0..0247

,075 0..4211 0,,5982 0.,7484 2,,325 0,,0076 0..0167 0.,0230

,100 0..4618 0,,6601 0.,8379 2.,350 0,,0042 0.,0152 0.,0199

,125 0..4568 0,,6615 0.,8524 2,,375 0,,0046 0.,0141 0.,0172

,150 0..4519 0,,6322 0.,8287 2.,400 0.,0091 0.,0130 0.,0150

.175 0,.4265 0,,5894 0,,7794 2,,425 0.,0066 0.,0126 0,,0157

.200 0,.3741 0,,5375 0.,7212 2.,450 0,,0042 0.,0112 0.,0160

.225 .3349 0..4878 0..6685 2.,475 0.,0072 0.,0098 0,,0123

.250 0..3109 0,.4347 0..6120 2,,500 0.,0027 0,,0079 0.,0121

409
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

'^22^^11 = 2.00 p* =0.174 X = 0.7500 ^22/^1= 2-00

R* '11 '12 '22 R* '11 '12 '22

0,.025 -3 .1700 -2 .4928 -8 .5791 1 .275 .2783 0.3797 .5075

0,.050 -3 .1549 -2 .4970 -8 .4766 1 .300 .2588 0.3428 .4632

0,,075 -3 .1304 -2 .5038 -8 .3166 1 .325 .2304 0.3107 .4189

0,.100 -3,.0977 -2 .5129 -8 .1117 1 .350 .2034 0.2810 .3835

0,,125 -3 .0579 -2 .5248 -7 .8747 1,.375 .1895 0.2530 .3509

0,,150 -3 .0125 -2 .5388 -7 .6168 1 .400 .1646 0.2287 .3205

0,,175 -2,.9626 -2 .5557 -7,.3468 1 .425 .1519 0.2058 .2929

0,,200 -2..9092 -2 .5743 -7 .0711 1 .450 .1326 0.1897 .2649

0,,225 -2,.8534 -2 .5945 -6,.7945 1 .475 .1239 0.1711 .2445

0,,250 -2,.7959 -2 .6152 -6 .5199 1 .500 .1112 0.1559 .2221

0,,275 -2,,7373 -2 .6352 -6..2494 1,.525 .0977 0.1418 .2008

0,,300 -2..6781 -2 .6531 -5..9843 1,.550 .0894 0.1265 .1905

0.,325 -2.,6188 -2,.6663 -5..7255 1,.575 .0832 0.1162 .1741

0,,350 -2,.5597 -2..6743 -5..4733 1,.600 .0747 0.1024 .1602

0,,375 -2,,5010 -2,.6735 -5 .2280 1,.625 .0706 0.0974 .1508

0,,400 -2.,4429 -2,.6650 -4,.9896 1,.650 .0580 0.0894 .1335

0,,425 -2,,3855 -2,,6470 -4,,7583 1,,675 .0552 0.0815 .1211

0,,450 -2,,3290 -2,,6212 -4,,5339 1,,700 .0523 0.0725 .1150

0.,475 -2,,2735 -2,,5863 -4,,3163 1.,725 0,,0410 0.0676 .1077

0,,500 -2,,2190 -2,,5450 -4,,1056 1,,750 0,.0436 0.0626 0,.1027

0,,525 -2.,1656 -2.,4972 -3,,9014 1,,775 0,.0383 0.0569 0,.0909

0.,550 -2.,1133 -2.,4448 -3 .7038 1,,800 0,,0335 0.0509 0,.0855

0,,575 -2.,0621 -2,,3876 -3,,5125 1.,825 0,,0301 0.0470 0,.0764

0,,600 -2,,0120 -2.,3275 -3,,3275 1,,850 0,,0273 0.0449 0..0702

0,,625 -1,,9631 -2.,2648 -3,,1487 1,,875 0,,0274 0.0390 0,,0668

0,,650 -1,,9154 -2.,2005 -2,,9761 1,,900 0,,0254 0.0346 0,.0599

0,,675 -1,,8688 -2,,1348 -2,,8096 1,,925 0,,0197 0.0323 0.,0570

0.,700 -1,,8234 -2,,0685 -2,,6491 1,,950 0,,0179 0.0300 0,,0574

0.,725 -1,,7792 -2,,0021 -2,,4946 1.,975 0,,0180 0.0269 0,,0502

0,,750 -1,,7361 -1.,9358 -2,,3462 2.,000 0,,0140 0.0249 0,,0450

0,,775 -1,,6943 -1,,8701 -2,.2038 2,,025 0,,0158 0.0219 0,,0417

0,,800 -1,,6536 -1,,8052 -2,.0674 2,,050 0,,0108 0.0207 0,,0394

0,,825 -1,,6139 -1,,7414 -1,.9371 2,,075 0,,0098 0.0200 0,,0391

0,,850 -1.,5701 -1,,6784 -1..8130 2.,100 0,,0091 0.0182 0,,0339

0.,875 -1,,4947 -1,,5988 -1..6940 2.,125 0.,0086 0.0167 0,,0359

0,,900 -1,,3339 -1.,4877 -1..5642 2.,150 0,,0093 0.0149 0,,0306

0.,925 -1.,0553 -1.,2376 -1..3759 2.,175 0.,0054 0.0143 0,,0288

0,,950 _ ,6994 _ ,8982 -1..0550 2.,200 0,,0046 0.0124 0.,0228

0,,975 ,3457 . ,4789 .6268 2.,225 0.,0064 0.0117 0.,0228

1.,000 - ,0380 . ,0782 . 1569 2. 250 0.,0043 0.0105 0,,0208

1,,025 o!,1890 o'..2206 o'. 2346 2.,275 0.,0070 0.0104 0.,0198

1.,050 0.,3384 0,.4463 0. 5137 2. 300 0.,0037 0.0094 0. 0173

1..075 0.,4233 0..5556 0. 6961 2.,325 0.,0048 0.0080 0. 0167

1.,100 0..4475 0,.6186 0. 7640 2.,350 0.,0016 0.0085 0. 0132

1.,125 0,.4553 0,.6152 0.,7795 2. 375 0,,0024 0.0061 0.,0086

1.,150 0,.4285 0,.5944 0.,7623 2. 400 . 0022 0.0064 0. 0096

1,,175 0..4099 0..5574 0. 7192 2. 425 o'. 0039 0.0063 0. 0081

1.,200 0,.3800 0,.5126 0. 6670 2. 450 0. 0027 0.0058 0. 0030

1,.225 0,.3434 0,.4647 0. 6106 2. 475 0. 0020 0.0050 0. 0064

1.,250 0,.3197 0,.4245 0. 5541 2. 500 0. 0028 0.0042 0. 0021

-410-
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

<^22^°\\ = 2.00 p* =0.176 X = 0.9001 ^22/^1= 2-00

R*

11 12 '22 R* '11 '12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

.150

,175

,200

,225

,250

2.2826

•2.2721

•2.2558

•2.2336

2.2073

•2.1771

2 . 1444

2.1097

2.0737

2.0368

1.9996

1.9623

1.9251

8883

8519

8162

7810

7466

7129

6800

6478

6164

-1.5858

1.5561

-1.5271

•1.4989

•1.4714

•1.4448

•1.4189

•1.3937

1.3693

1.3456

1.3226

1.2959

1.2427

1.1172

-.8891

-.5950

-.2836

-.0185

0.1721

0.3125

0.3855

0.4178

0.4203

0.4094

0.3832

0.3573

0.3256

0.2961

,7790

,7819

,7869

,7938

8027

,8134

8261

8404

8561

1.8725

1.8888

9039

9161

9247

9276

9252

1.9162

9020

8817

8572

8283

7966

7618

7253

1.6871

1.6481

•1.6083

•1.5682

•1.5282

1.4883

•1.4489

•1.4101

1.3721

1.3346

1.2832

1.2061

1.0092

-

7344

-

3804

-.0389

0.2214

0.4239

0.5263

0.5836

0.5818

0.5693

0.5313

0.4907

0.4483

0.4056

5.5868

5.5133

•5.3991

5.2539

5.0872

4.9074

4.7210

4.5324

•4.3450

4.1607

3.9808

3.8062

3.6372

•3.4741

•3.3168

•3.1653

3.0194

2.8790

,7438

,6139

,4889

,3688

,2533

,1425

,0361

9341

1.8363

•1.7428

•1.6534

1.5681

1.4868

1.4096

1.3363

•1.2670

•1.2002

1.1254

-.9994

-.7563

-.4141

-.0346

0.3157

0.5570

0.7006

0.7764

0.7917

0.7583

0.7280

0.6841

0.6224

0.5782

.275

,300

,325

,350

,375

,400

1.425

1.450

1.475

1.500

1.525

1.550

1.575

1.600

1.625

1.650

1.675

1.700

1.725

1.750

1.775

1.800

825

,850

,875

,900

,925

1.950

1.975

2.000

2.025

2.050

2.075

2.100

2.125

2.150

2.175

2.200

2.225

2.250

.275

,300

.325

.350

.375

.400

2.425

2.450

2.475

2.500

0.2690

0.2431

0.2215

0.1983

0.1796

0.1611

0.1468

0.1288

0.1166

0.1090

0.0957

0.0838

0.0760

0.0662

0.0637

0.0596

0.0541

0.0500

0.0425

0.0382

0.0358

0.0350

0.0283

0.0278

0.0217

0.0212

0.0221

0.0189

0.0172

0.0141

0.0116

0.0135

0.0098

0.0105

0.0077

0.0079

0.0061

0.0074

0.0057

0.0049

0.0025

0.0041

0.0030

0.0032

0.0017

0.0009

0.0022

0.0002

0.0016

0.0023

0.3651

0.3301

0.2985

0.2688

0.2414

0.2151

0.1974

0.1790

0.1625

0.1482

0.1320

0.1247

0.1110

0.0989

0.0918

0.0871

0.0771

0.0714

0.0639

0.0583

0.0517

0.0496

0.0432

0.0413

0.0375

0.0316

0.0307

0.0283

0.0248

0.0213

0.0205

0.0212

0.0160

0.0136

0.0141

0.0139

0.0128

0.0102

0.0103

0.0091

0.0084

0.0075

0.0075

0.0065

0.0065

0.0055

0.0036

0.0053

0.0033

0.0019

0.5262

0.4733

0.4310

0.3890

0.3505

0.3284

0.3022

0.2805

0.2538

0.2235

0.2032

0.1816

0.1688

0.1684

0.1528

0.1373

0.1134

0.1062

0.0946

0.0896

0.0945

0.0857

0.0725

0.0602

0.0598

0.0549

0.0544

0.0366

0.0409

0.0381

0.0374

0.0355

0.0365

0.0298

0.0255

0.0309

0.0273

0.0245

0.0182

0.0131

0.0120

0.0130

0.0094

0.0078

0.0032

0.0060

0.0010

0.0015

0.0004

0.0003

-411
DIRECT COEIRELATION FUNCTIONS FOR T* = 3.0

a^l^'^W = 2.00 p* =0.171 x^= 0.9502 ^22/^1= 2-00

R*

11 '12 '22 R* '11 '12 '22

0. 025 -2,.0115 . \ _.5835 -4,,7047 .275 0.,2670 0..3548 0,.4980

0.,050 -2..0028 . \ .5859 -4,,6414 .300 0,,2445 0,.3208 0.,4125

0.,075 -1,.9889 . \ _.5902 -4,,5434 .325 0.,2168 0,,2877 0,.4102

0.,100 -1..9705 . \ _.5961 -4,,4190 .350 0..1960 0.,2591 0,.3530

0.,125 -1,.9484 . \ ^.6038 -4.,2768 .375 0.,1763 0,,2348 0,.3134

0. 150 -1,,9234 - \ _.6131 -4,,1239 .400 0.,1587 0,,2077 .2819

0.,175 -1..8962 - \ _.6241 -3,,9658 .425 0,,1429 0.,1895 0,.2634

0.,200 -1,.8674 . \ ^.6365 -3,,8066 .450 0,,1293 0,,1654 0,.2536

0.,225 -1,.8378 -1

.6502 -3,,6488 .475 0,.1162 0.,1538 0,,2438

0.,250 -1,.8074 . \ .6646 -3,,4942 .500 0,,1022 0.,1389 0,,2165

0.,275 -1,.7770 . \ ^.6790 -3,,3439 .525 0.,0951 0,,1269 0,.1833

0.,300 -1,,7464 . \ _.6923 -3,,1985 .550 0,,0867 0,,1136 0,.1660

0..325 -1,,7162 -1

.7033 -3,,0583 .575 0,,0755 0.,1039 .1626

0.,350 -1,,6862 _ \ .7113 -2,,9233 .600 0.,0665 0,,0902 0,.1476

0.,375 -1,.6567 -\ ,.7144 -2,,7937 .625 0,,0637 0.,0846 0,.1246

0,.400 -1,,6277 - ]_ ^.7131 -2.,6693 .650 0,,0570 0.,0764 0,.1118

0.,425 -1,,5994 -1

.7062 -2,,5499 .675 0.,0544 0.,0678 0,.0993

0,,450 -1.,5717 -1 .6949 -2.,4354 .700 0,,0484 0,,0613 .1062

0,,475 -1.,5446 -1

.6786 -2,,3256 .725 0.,0415 0,,0559 0,.0970

0,,500 -1.,5182 -I

.6587 -2,,2203 ,750 0,,0409 0,,0517 0,.0818

0,,525 -1,,4925 . \ .6353 -2,,1195 ,775 0,.0366 0.,0443 0,.0824

0,,550 -1,,4674 - \ .6095 -2,,0229 ,800 0..0324 0.,0416 0,.0691

0.,575 -1.,4431 -1

.5813 -1,,9305 ,825 0..0309 0.,0392 0,,0666

0,,600 -1,,4194 _ \ .5516 -1,,8420 .850 0,.0278 0,,0375 0,,0564

0.,625 -1,,3964 -\ .5207 -1,,7574 .875 0,.0254 0.,0324 0,,0565

0,,650 -1..3739 . \ .4891 -1,,6766 .900 0,.0228 0,,0263 0,.0375

0,,675 -1..3523 -1

.4570 -1.,5994 .925 0,.0214 0.,0271 0,.0318

0,.700 -1,.3311 -1

.4247 -1,,5257 .950 0,,0184 0,,0245 0,.0385

0,.725 -1,.3107 - 1

.3924 -1.,4555 .975 0.,0180 0,,Q213 0..0179

0,.750 -1..2908 . \ ,3604 -1,,3886 2,.000 0,,0168 0,,0220 0,.0075

0,.775 -1,.2716 -I

,3288 -1,,3251 2..025 0,,0135 0,,0192 0,.0293

0..800 -1,.2529 -I ,2978 -1,,2649 2,,050 0,,0133 0,,0167 0..0122

0,.825 -1,.2348 -1

,2674 -1,,2080 2.,075 0,,0126 0.,0148 0,.0152

0..850 -1,.2132 - 1 ^,2374 -1.,1543 2,,100 0,.0109 0,,0140 0,,0284

0..875 -1,.1663 -1

,1945 -1,,1026 2.,125 0,.0088 0,,0154 0.,0220

0,.900 -1,.0510 -I ,1260 -1.,0440 2,,150 0..0078 0,,0124 0,,0168

0..925 .8385 . ,9425 _ ,9351 2,,175 0,.0079 0,,0104 0,,0103

0.,950 .5590 - ,6903 _ ,7079 2,,200 0,.0065 0,,0071 0,,0057

0,.975 .2652 ,3559 . ,3900 2.,225 0,.0044 0,,0079 0,,0036

.000 - .0114 - ,0262 _ ,0550 2,,250 0,.0060 0,,0089 0,,0105

.025 .1761 o!.2229 o!,2873 2,,275 0,.0058 0,,0063 0,,0192

.050 .2970 0,.4128 0.,5120 2,,300 0,.0022 0,,0052 0..0067

.075 .3721 0,.5041 0.,6393 2,,325 0,.0041 0,.0052 0,.0072

.100 .4044 0,.5637 0,,7311 2,,350 0..0033 0,.0065 0,.0092

.125 .4092 0..5662 0,,7359 2,,375 0,.0010 0,.0040 0,.0111

.150 .3955 0..5473 0,,7121 2,,400 0,.0018 0..0031 0,.0112

.175 .3777 0..5165 0,,6840 2,,425 0,.0019 0..0020 0..0131

.200 .3465 0..4792 0..6220 2,,450 0,.0004 0..0026 0..0200

.225 .3197 0..4331 0,,5834 2,,475 0..0006 0..0015 0..0158

.250 .2937 0..3928 0..5283 2,,500 0..0001 0..0004 0..0137

-412-
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

''22/^11 "2.00 p* -0.107 y.^= 0.0498

€22/«ii=

3.00

R* '11 '12 '22 R* '11 '12 '22

.025 -7 .1924 -6 .5833 -28 .3191 275 .3360 4465 8441

.050 -7 .1413 -6 .5023 -28 .0142 300 .1316 4059 7895

.075 -7 .0726 -6 .4903 -27 .5328 325 .2534 3664 7423

100 -6 .9881 -6 .4930 -26 .9130 350 .1212 3304 6979

125 -6 .8832 -6 .5060 -26 .1892 375 .1477 3010 6582

150 -6 .7643 -6 .5251 -25 .3955 400 .1752 2779 6180

175 -6 .6308 -6 .5503 -24 5557 425 .0961 2551 5811

200 -6 .4876 -6 .5791 -23 6920 450 .1579 2341 5443

225 -6 .3353 -6 .6111 -22 8163 475 .0709 2151 5082

250 -6 .1775 -6 .6437 -21 9375 500 .0698 1944 4722

275 -6 .0148 -6 .6730 -21 .0607 525 .1023 1771 4382

300 -5 .8498 -6 6961 -20 1910 550 .1308 1667 4051

325 -5 6827 -6 7081 -19 3303 575 .0734 1538 3738

350 -5 .5156 -6 7066 -18 4795 600 .0860 1411 3448

375 -5 3483 -6 6814 -17 6398 625 .0505 1294 3171

400 -5 1823 -6 6355 -16 8130 650 .1177 1138 2935

425 -5 0174 -6 5642 -15 9992 675 .1148 1050 2726

450 -4 8547 -6 4708 -15 1995 700 .0707 0995 2538

475 -4 6938 -6 3491 -14 4128 725 .0027 0870 2412

500 -4 5356 -6 2085 -13 6430 750 .1054 0752 2318

525 -4 3796 -6 0487 -12 8882 775 .0393 0704 2239

550 -4 2267 -5 8744 -12 1514 800 .0662 0638 2186

575 -4 0764 -5 6843 -11 4318 825 .0199 0579 2142

600 -3 9294 -5 4853 -10 7320 850 _ 0151 0504 2076

625 -3 7850 -5 2786 -10 0512 875 .0326 0493 1998

650 -3 6442 -5 0664 -9 3906 900 - 0109 0415 1890

675 -3 5061 -4 8491 -8 7502 925 - 0127 0405 1774

700 -3 3717 -4 6302 -8 1318 950 . 0140 0371 1638

725 -3 2403 -4 4108 -7 5351 975 .0061 0385 1468

750 -3 1126 -4 1916 -6 9600 2 000 - 0473 0395 1323

775 -2 9880 -3 9738 -6 4063 2 025 - 0113 0385 1179

800 -2 8673 -3 7586 -5 8754 2 050 - 0113 0390 1037

825 -2 7497 -3 5473 -5 3664 2 075 . 0531 0400 0927

850 -2 6234 -3 3395 -4 8800 2 100 - 0373 0386 0829

875 -2 4716 -3 1221 -4 4154 2 125 . 0067 0334 0748

900 -2 1260 -2 8794 -3 9697 2 150 0207 0324 0679

925 -1 7442 -2 4438 -3 4982 2 175 - 0344 0328 0629

950 -1 1683 -1 8594 -2 8685 2 200 0044 0294 0579

975 . 6155 -1 1055 -1 9728 2 225 - 0131 0268 0539

1 000 . 2709 . 3712 . 9196 2 250 . 0139 0236 0504

1 025 1698 1633 0372 2 275 - 0155 0193 0468

1 050 2834 5648 7241 2 300 - 0331 0207 0429

1 075 3828 7375 1 1154 2 325 - 0061 0152 0387

1 100 4355 8217 1 2716 2 350 . 0119 0123 0353

1 125 3882 8166 1 2908 2 375 0173 0116 0313

1 150 3886 7645 1 2336 2 400 - 0166 0093 0272

1 175 3262 6992 1 1505 2 425 - 0165 0084 0224

1 200 2780 6249 1 0620 2 450 0343 0067 0179

1 225 2281 5662 9777 2 475 0103 0041 0141

1 250 2995 5022 9063 2 500 0366 0045 0100

-413
DIRECT CORRELATION FUNCTIONS FOR T* = 3,0

^22/^11 = 2.00 p* =0. 111 ^r 0.0999 ^22/^11= 3.00

R* "11 ^12 ^22 R* ^11 *^12 ^22

025 -7 0187 -6.3889 -27 3451 1.275 0.2312 0.4749 9074

050 -6 9721 -6.3124 -27 0492 1.300 0.2272 0.4278 8509

075 -6 9051 -6.3016 -26 5818 1.325 0.2135 0.3911 8020

100 -6 8235 -6.3049 -25 9800 1.350 0.2062 0.3536 7574

125 -6 7213 -6.3181 -25 2782 1.375 0.1274 0.3236 7140

150 -6 6060 -6.3371 -24 5075 1.400 0.1540 0.2955 6733

175 -6 4760 -6.3620 -23 6928 1.425 0.1058 0.2760 6335

200 -6 3371 -6.3905 -22 8550 1.450 0.0937 0.2512 5973

225 -6 1891 -6.4219 -22 0062 1.475 0.1053 0.2379 5605

250 -6 0360 -6.4540 -21 1545 1.500 0.0818 0.2184 5239

275 -5 8779 -6.4831 -20 3048 1.525 0.0916 0.2016 4893

300 -5 7179 -6.5062 -19 4630 1.550 0.0512 0.1857 4557

325 -5 5556 -6.5186 -18 6292 1.575 0.0658 0.1699 4237

350 -5 3936 -6.5179 -17 8065 1.600 0.0656 0.1525 3933

375 -5 2309 -6.4941 -16 9938 1.625 0.0366 0.1443 3639

400 -5 0701 -6.4504 -16 1940 1.650 0.0435 0.1318 3388

425 -4 9097 -6.3819 -15 4072 1.675 0.0632 0.1217 3175

450 -4 7520 -6.2918 -14 6344 1.700 0.0765 0.1124 2970

475 -4 5953 -6.1744 -13 8748 1.725 0.0506 0.1016 2816

500 -4 4421 -6.0386 -13 1310 1.750 0.0577 0.0927 2692

525 -4 2902 -5.8839 -12 4032 1.775 0.0422 0.0863 2588

550 -4 1421 -5.7153 -11 6924 1.800 0.0419 0.0782 2506

575 -3 9955 -5.5311 -10 9978 1.825 0.0506 0.0718 2427

600 -3 8531 -5.3383 -10 3220 1.850 0.0435 0.0685 2340

625 -3 7124 -5.1378 -9 6648 1.875 0.0470 0.0648 2253

650 -3 5759 -4.9320 -9 0273 1.900 0.0214 0.0597 2119

675 -3 4413 -4.7211 -8 4090 1.925 0.0835 0.0593 1983

700 -3 3112 -4.5086 -7 8119 1.950 0.0353 0.0556 1843

725 -3 1829 -4.2956 -7 2355 1.975 0.0375 0.0546 1684

750 -3 0593 -4.0827 -6 6799 2.000 0.0153 0.0505 1517

775 -2 9376 -3.8712 -6 1449 2.025 0.0105 0.0535 1361

800 -2 8208 -3.6622 -5 6317 2.050 0.0195 0.0453 1221

825 -2 7059 -3.4570 -5 1398 2.075 0.0173 0.0459 1093

850 -2 5851 -3.2553 -4 6696 2.100 0.0422 0.0456 0974

875 -2 4204 -3.0446 -4 2207 2.125 0.0330 . 0442 0892

900 -2 .1303 -2.8075 -3 7899 2.150 0.0205 0.0421 0804

925 -1 6630 -2.3823 -3 3342 2.175 0.0109 0.0412 0745

950 -1 .1540 -1.8129 -2 7237 2.200 -.0067 0.0372 0686

975 - 5982 -1.0687 -1 8526 2.225 0.0156 0.0353 0624

000 - .1550 -.3488 . 8268 2.250 0.0153 0.0282 0584

025 .1557 0.1812 1117 2.275 0.0143 0.0248 0531

.050 .3302 0.5733 7897 2.300 -.0030 0.0238 0487

.075 .3834 0.7527 1 1758 2.325 -.0046 0.0195 0446

.100 .4329 0.8397 1 3337 2.350 -.0003 0.0164 0391

.125 .4751 0.8271 1 3537 2.375 -.0019 0.0141 0364

.150 .4260 0.7816 1 2970 2.400 0.0123 0.0131 0301

.175 .4048 0.7207 1 2141 2.425 0.0010 0.0083 0258

.200 .3495 0.6468 1 1262 2.450 0.0025 0.0080 0203

.225 .2879 0.5835 1 0430 2.475 0.0013 0.0077 0172

.250 .3060 0.5189 9699 2.500 -.0064 0.0067 0127

-414
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

'^22/^^11 = 2.00 p* =0.126 x^= 0.2500 ^22/hr 3-°°

R* '11 12 '22 R*

11 12 '22

0.025

0.050

0.075

0.100

0.125

0.150

0.175

0.200

0.225

0.250

0.275

0.300

0.325

0.350

0.375

0.400

0.425

0.450

0.475

0.500

0.525

0.550

0.575

0.600

0.625

0.650

0.675

0.700

0.725

0.750

0.775

0.800

0.825

0.850

0.875

0.900

0.925

0.950

0.975

1.000

1.025

1.050

1.075

1.100

1.125

1.150

1.175

1.200

1.225

1.250

7755

7382

6764

5973

4985

3860

2597

1245

9807

8322

6789

5239

3667

2101

5.0527

4.8974

7424

5903

4390

2913

1447

0021

8609

-3.7237

5884

,4570

,3274

,2023

0790

,9601

8432

,7310

6204

5092

,3483

0426

6002

0794

-.5371

-.1096

0.1749

0.4005

0.4607

0.5100

0.5011

0.4736

0.4491

0.4050

0.3390

0.3271

0026

9716

9729

9828

9996

6.0211

6.0481

6.0783

•6.1111

,1448

,1758

,2012

,2160

,2183

1984

,1590

0955

0110

9001

7715

-5.6244

5.4638

5.2882

5.1042

•4.9125

4.7156

4.5138

4.3105

4.1065

9027

7002

5001

3037

3.1106

9091

,6814

,2709

,7242

,0064

-.3051

0.2230

0.6142

0.7781

0.8671

0.8525

0.8118

0.7520

0.6866

0.6181

0.5598

26.0631

25.7752

25.3228

24.7400

24.0612

23.3184

22.5328

21.7260

20.9082

20.0885

19.2718

18.4620

17.6612

16.8715

16.0918

15.3260

14.5732

13.8344

13.1088

12.3990

11.7052

11.0274

10.3658

-9.7222

-9.0966

-8.4894

-7.9003

-7.3313

-6.7818

-6.2521

-5.7419

-5.2526

-4.7839

-4.3361

-3.9088

-3.4992

-3.0678

-2.4892

-1.6633

-.6833

0.2163

0.8754

1.2513

.4126

.4358

.3915

.3150

.2280

.1423

.0678

1.275

1.300

1.325

1.350

1.375

1.400

1.425

1.450

1.475

1.500

1.525

550

575

600

625

650

675

700

725

750

775

800

1.825

1.850

1.875

1.900

1.925

1.950

1.975

2.000

2.025

2.050

2.075

100

125

150

175

200

225

250

275

300

2.325

2.350

2.375

2.400

2.425

2.450

2.475

2.500

0.2746

0.2492

0.2215

0.2061

0.1964

0.1602

0.1714

0.1358

0.1282

0.1197

0.1033

0.0787

0.0729

0.0836

0.0803

0.0741

0.0639

0.0582

0.0499

0.0522

0.0615

0.0472

0.0354

0.0435

0.0282

0.0219

0.0432

0.0417

0.0220

0.0211

0.0172

0.0255

0.0183

0.0146

0.0202

0.0102

0.0112

0.0061

0.0222

0.0123

0.0238

0.0202

0.0169

0.0103

0.0169

0.0049

0.0102

0.0249

0.0221

0.0215

0.5038

0.4587

0.4198

0.3828

0.3560

0.3307

0.3046

0.2798

0.2637

0.2429

0.2292

0.2129

0.1991

0.1851

0.1710

0.1593

0.1456

0.1379

0.1268

0.1169

0.1095

0.1023

0.0951

0.0906

0.0850

0.0822

0.0770

0.0728

0.0717

0.0664

0.0655

0.0647

0.0623

0.0601

0.0592

0.0557

0.0517

0.0497

0.0446

0.0403

0.0363

0.0313

0.0311

0.0287

0.0247

0.0211

0.0185

0.0178

0.0174

0.0138

1.0050

0.9438

0.8918

0.8417

0.7974

0.7534

0.7098

0.6713

0.6329

0.5965

0.5595

0.5255

0.4924

0.4605

0.4297

0.4036

0.3795

0.3569

0.3361

0.3175

0.3045

0.2889

0.2779

0.2664

0.2535

0.2389

0.2230

0.2086

0.1916

0.1775

0.1600

0.1465

0.1328

0.1200

0.1069

0.0997

0.0912

0.0824

0.0742

0.0683

0.0615

0.0554

0.0499

0.0445

0.0389

0.0345

0.0290

0.0245

0.0193

0.0140

415
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

''22/^11 - 2.00 p* -0. 164 \' 0.5000 ^22/^ir 3.00

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0.025 -6 .1295 -5 .2039 -22 .6464 1.275 0.2854 0.4988 0,.9467

0.050 -6 .0983 -5 .2225 -22 .3833 1.300 0.2619 0.4517 0,.8834

0.075 -6 .0435 -5 .2362 -21 .9722 1.325 . 2400 0.4117 0,.8277

0.100 -5 .9709 -5 .2523 -21 .4448 1.350 0.2064 0.3708 0,.7771

0.125 -5,.8812 -5 .2720 -20 .8334 1.375 0.1814 0.3441 0,.7234

0.150 -5,.7784 -5 .2952 -20 .1661 1.400 0.1698 0.3157 0,.6785

0.175 -5,.6641 -5 .3230 -19,.4647 1.425 0.1523 0.2922 0,.6379

0.200 -5,.5415 -5,.3538 -18,.7452 1.450 0.1489 0.2692 0,.5959

0.225 -5,.4121 -5,.3870 -18 .0184 1.475 0.1242 0.2494 0,.5591

0.250 -5,.2782 -5 .4211 -17,.2919 1.500 0.1236 0.2286 0,.5241

0.275 -5,.1407 -5,.4535 -16,.5704 1.525 0.1142 0.2114 0,.4906

0.300 -5..0016 -5,.4812 -15,.8572 1.550 . 1044 0.1943 0,.4590

0.325 -4,.8611 -5,.4996 -15,.1541 1.575 0.0967 0.1799 0,.4305

0.350 -4,.7209 -5,.5065 -14,.4626 1.600 0.0889 0.1636 0..4058

0.375 -4,.5807 -5,.4937 -13,.7834 1.625 0.0821 0.1545 0,.3784

0.400 -4,.4420 -5,.4630 -13,.1172 1.650 0.0786 0.1410 0,.3539

0.425 -4..3041 -5,.4100 -12,.4646 1.675 0.0824 0.1322 0,.3273

0.450 -4..1686 -5..3380 -11,.8259 1.700 0.0682 0.1219 0,.3076

0.475 -4,.0343 -5..2426 -11,.2016 1.725 0.0635 0.1136 0,.2900

0.500 -3,.9028 -5..1310 -10,.5919 1.750 0.0659 0.1047 0,,2714

0.525 -3,.7729 -5,.0026 -9,.9969 1.775 0.0587 0.0972 0,,2547

0.550 -3,.6461 -4,.8621 -9,.4170 1.800 0.0491 0.0899 0,,2394

0.575 -3,.5210 -4,.7086 -8,.8523 1.825 0.0576 0.0834 0,,2262

0.600 -3,.3993 -4,.5475 -8,.3032 1.850 0.0534 0.0785 0,,2130

0.625 -3,.2791 -4,.3793 -7,.7698 1.875 0.0471 0.0740 0,,2029

0.650 -3,.1627 -4,.2066 -7,.2524 1.900 0.0405 0.0703 0,,1877

0.675 -3,.0479 -4,.0300 -6,.7513 1.925 0.0387 0.0649 0,,1765

0.700 -2,.9371 -3,.8519 -6,.2667 1.950 0.0362 0.0610 0,,1651

0.725 -2,.8278 -3,.6731 -5..7988 1.975 0.0363 0.0590 0,,1539

0.750 -2,.7226 -3..4947 -5,,3478 2.000 0.0334 0.0540 0,,1414

0.775 -2,.6191 -3,.3178 -4,,9141 2.025 0.0275 0.0533 0,,1293

0.800 -2,.5196 -3..1428 -4,,4978 2.050 0.0229 0.0501 0,,1182

0.825 -2,.4217 -2.,9712 -4.,0992 2.075 0.0250 0.0466 0,,1091

0.850 -2,.3212 -2..8027 -3,,7187 2.100 0.0232 0.0459 0,,0982

0.875 -2,.1760 -2..6269 -3,,3565 2.125 0.0224 0.0425 0.,0890

0.900 -1,.9153 -2..4277 -3,,0097 2.150 0.0200 0.0399 0..0814

0.925 -1..4998 -2,,0594 -2,,6437 2.175 0.0190 0.0374 0.,0711

0.950 -1,.0006 -1.,5657 -2,,1534 2.200 0.0229 0.0339 0.,0656

0.975 .4949 ,9086 -1.,4445 2.225 0.0136 0.0311 0. 0590

1.000 - ,0921 . ,2634 . ,5932 2.250 0.0194 0.0304 0.,0516

1.025 0!.1848 0!,2212 0'.,2173 2.275 0.0173 0.0282 0.,0455

1.050 0,.3723 0,,5836 0,,8093 2.300 0.0151 0.0249 0. 0419

1.075 0,,4521 0,,7521 1.,1671 2.325 0.0164 0.0225 0. 0368

1.100 0,.4979 0,,8394 1,.3275 2.350 0.0113 0.0228 0. 0333

1.125 0,.4842 0.,8321 1,,3589 2.375 0.0114 0.0201 0. 0277

1.150 0,.4648 0,,7928 1.,3186 2.400 0.0154 0.0185 0. 0224

1.175 0,.4314 0,,7360 1,,2524 2.425 0.0114 0.0152 0. 0193

1.200 0,.3994 0,,6723 1.,1728 2.450 0.0168 0.0134 0. 0179

1.225 0,.3534 0,,6116 1.,0893 2.475 0.0152 0.0120 0. 0132

1.250 0,.3188 0,,5548 1.,0117 2.500 0.0110 0.0101 0. 0116

416-
a

,

ll^'XY = 2.00 /9* =0. 213'^r

0.7500 ^22/^11= 3.00

R* ^11 ^12 ^22 R* ^11 ^12 "22

0,.025 -4,.4410 -3,.4851 -14,.3576 1.275 0.2782 0.4761 0,.8150

0,.050 -4,.4170 -3,.4911 -14..1682 1.300 0.2555 0.4280 0,.7404

0,.075 -4,.3767 -3,.5004 -13,.8736 1.325 0.2285 0.3917 0,.6822

0..100 -4,.3238 -3,.5130 -13..4987 1.350 0.2052 0.3510 0,.6261

0,.125 -4,.2590 -3,.5295 -13,.0680 1.375 0.1805 0.3221 0,.5678

0,.150 -4,.1854 -3,.5494 -12,.6023 1.400 0.1679 0.2907 0,.5324

0,.175 -4,.1041 -3,.5734 -12,.1175 1.425 0.1565 0.2612 0,.4767

0,.200 -4,.0177 -3,.6004 -11,.6249 1.450 0.1349 0.2401 0,.4403

0,.225 -3,.9270 -3,.6303 -11,.1322 1.475 0.1259 0.2162 0..4047

0,.250 -3,.8338 -3,.6617 -10,.6443 1.500 0.1119 0.1982 0,.3685

0,.275 -3,.7388 -3,.6930 -10,.1644 1.525 0.1034 0.1822 0,.3399

0,.300 -3..6431 -3,.7217 -9,.6944 1.550 0.0970 0.1658 0,.3145

0..325 -3,.5470 -3,.7444 -9,.2355 1.575 0.0852 0.1521 0,.2912

0,.350 -3,.4513 -3,,7593 -8,.7884 1.600 0.0858 0.1408 0,,2629

0,.375 -3,.3563 -3,,7605 -8,.3535 1.625 0.0710 0.1288 0..2434

0,.400 -3,.2623 -3,,7492 -7,,9307 1.650 0.0680 0.1169 0,.2225

0,.425 -3,.1695 -3,,7217 -7,.5203 1.675 0.0585 0.1078 0,.2110

0,.450 -3,.0782 -3,.6809 -7,.1220 1.700 0.0565 0.1005 .1959

0..475 -2..9884 -3,.6239 -6,.7357 1.725 0.0528 0.0925 0,.1814

0,.500 -2,.9003 -3,.5556 -6,.3614 1.750 0.0472 0.0847 .1656

0..525 -2,.8138 -3,.4755 -5,.9987 1.775 0.0455 0.0774 .1529

0,.550 -2..7291 -3,.3872 -5,.6475 1.800 0.0391 0.0714 0,.1463

0,.575 -2,.6462 -3,.2902 -5,.3077 1.825 0.0353 0.0660 0,.1314

0,.600 -2,.5652 -3,.1880 -4,.9792 1.850 0.0328 0.0597 .1189

0,.625 -2..4859 -3,.0810 -4,.6618 1.875 0.0333 0.0564 0,.1120

0..650 -2,.4086 -2..9710 -4,.3555 1.900 0.0276 0.0536 .1068

0,.675 -2,.3331 -2,.8585 -4,.0601 1.925 0.0300 0.0490 0,.0921

0,.700 -2,.2597 -2,.7450 -3,.7755 1.950 0.0263 0.0475 0,.0874

0..725 -2,.1881 -2,.6310 -3,.5017 1.975 0.0242 . 0440 .0798

0,.750 -2,.1186 -2,.5173 -3,.2386 2.000 0.0226 0.0409 .0704

0..775 -2,.0508 -2,.4046 -2..9863 2.025 0.0179 0.0377 0,.0699

0..800 -1,.9854 -2,.2932 -2,.7449 2.050 0.0184 0.0363 0,.0614

0..825 -1,.9214 -2,.1840 -2,.5145 2.075 0.0176 0.0337 0,.0603

0,,850 -1.,8541 -2..0769 -2,.2951 2.100 0.0159 0.0292 0,.0546

0,,875 -1.,7504 -1..9635 -2,.0870 2.125 0.0129 0.0283 0,.0473

0.,900 -1.,5476 -1.,8316 -1,.8881 2.150 0.0141 0.0268 0,.0451

0.,925 -1,,2219 -1,,5632 -1.,6754 2.175 0.0108 0.0245 0,.0414

0,,950 _ ,8075 -1.,1882 -1,,3747 2.200 0.0139 0.0207 0,.0398

0,,975 ,3956 ,6668 ,9057 2.225 0.0104 0.0194 0,.0325

,000 . ,0552 . ,1467 . ,3040 2.250 0.0107 0.0192 0,.0279

,025 o!,1860 o!,2514 o!,2799 2.275 0.0086 0.0168 0,,0267

.050 0.,3447 0.,5593 0,,7500 2.300 0.0067 0.0153 0,,0236

.075 0,,4383 0,,7094 1,,0346 2.325 0.0089 0.0151 0,,0187

.100 0,.4705 0,,7854 1,,1757 2.350 0.0081 0.0133 0,,0187

.125 0.,4631 0,,7847 1,,2107 2.375 0.0053 0.0126 0,,0141

.150 0,.4478 0,,7550 1.,1828 2.400 0.0047 0.0109 0,,0122

.175 0,.4191 0,.7035 1.,1150 2.425 0.0043 0.0099 0,.0142

.200 0,.3799 0,,6463 1,,0367 2.450 0.0033 0.0084 0,,0112

.225 0,.3573 0,,5844 0,,9565 2.475 0.0059 0.0064 0,,0120

.250 0,.3187 0,,5248 0,,8796 2.500 0.0049 0.0034 0,,0101

417
"ll^'^W

' 2.00 p* =0. 195 ^r 0.9001 ^22/^11= 3.00

R* ^11 ^12 ^22 R* ^11 ^12 ^22

0.025 -2,.5373 -1.9343 -6 .9894 1.275 0.2703 0.4484 .7130

0.050 -2,.5249 -1.9377 -6 .8830 1.300 0.2410 . 4040 .6450

0.075 -2,.5050 -1.9437 -6 .7187 1.325 0.2198 0.3626 .5751

0.100 -2,.4785 -1.9519 -6 .5110 1.350 0.2002 0.3249 .5132

0.125 -2,.4467 -1.9627 -6 .2745 1.375 0.1777 0.2922 .4736

0.150 -2..4103 -1.9756 -6 .0211 1.400 0.1606 0.2571 .4231

0.175 -2,.3709 -1.9912 -5 .7601 1.425 0.1431 0.2337 .3806

0.200 -2,.3289 -2.0087 -5,.4979 1.450 0.1288 0.2070 .3467

0.225 -2,.2856 -2.0284 -5 .2391 1.475 0.1158 0.1875 .3115

0.250 -2,.2410 -2.0492 -4,.9862 1.500 0.1057 0.1713 .2736

0.275 -2,.1961 -2.0704 -4..7411 1.525 0.0945 0.1553 .2463

0.300 -2,.1509 -2.0908 -4,.5047 1.550 0.0871 0.1385 .2384

0.325 -2,.1062 -2.1082 -4,.2773 1.575 0.0790 0.1270 .2061

0.350 -2,.0616 -2.1217 -4,.0592 1.600 0.0695 0.1141 .1908

0.375 -2,.0178 -2.1282 -3..8502 1.625 0.0664 0.1056 0,.1696

0.400 -1

.9745 -2.1282 -3..6500 1.650 0.0582 0.0973 .1611

0.425 -1

.9322 -2.1196 -3 .4583 1.675 0.0530 0.0896 .1409

0.450 - 1

.8905 -2.1041 -3..2748 1.700 0.0507 0.0801 .1247

0.475 -1

.8499 -2.0805 -3..0990 1.725 0.0453 0.0748 0,.1041

0.500 -1

.8101 -2.0511 -2,.9308 1.750 0.0399 0.0647 .0966

0.525 -1

.7713 -2.0156 -2..7696 1.775 0.0389 0.0598 .0863

0.550 . 1

.7334 -1.9762 -2,.6153 1.800 0.0312 0.0532 .0743

0.575 -1

.6966 -1.9325 -2..4675 1.825 0.0308 0.0484 .0769

0.600 -1

.6606 -1.8864 -2..3261 1.850 0.0270 0.0435 0,.0618

0.625 -1

,6256 -1.8381 -2..1909 1.875 0.0281 0.0383 0,.0613

0.650 -1

.5915 -1.7885 -2,.0617 1.900 0.0224 0.0346 0,.0602

0.675 -1

.5584 -1.7378 .9383 1.925 0.0201 0.0312 0..0525

0.700 -1

.5262 -1.6868 _ 1 .8207 1.950 0.0162 0.0280 0,.0390

0.725 -1

.4949 -1.6358 _ ]_ .7087 1.975 0.0165 0.0273 0,.0393

0.750 -1

.4646 -1.5851 . 1 .6022 2.000 0.0135 0.0242 0..0336

0.775 -1

.4351 -1.5350 _

]_ .5012 2.025 0.0140 0.0216 0,.0244

0.800 -1

.4066 -1.4858 • \ .4055 2.050 0.0115 0.0170 0..0212

0.825 -1

.3789 -1.4377 . 1 .3151 2.075 0.0121 0.0143 0,.0226

0.850 -1

.3473 -1.3906 _ 1 .2300 2.100 0.0109 0.0114 0,.0151

0.875 -1,.2886 -1.3377 - \ ,1502 2.125 0.0081 0.0126 0,.0123

0.900 -1

.1542 -1.2693 . 1 ,0738 2.150 0.0089 0.0104 0,.0113

0.925 .9161 -1.0960 _ ,9832 2.175 0.0085 0.0108 0,.0054

0.950 .6101 -.8367 _ .8218 2.200 0.0050 0.0081 0,.0097

0.975 ,2905 -.4506 . ,4960 2.225 0.0061 0.0068 0.,0044

1.000 - .0219 -.0532 _ ,0609 2.250 0.0059 0.0075 0,,0035

1.025 0,.1876 0.2747 o!,3986 2.275 0.0037 0.0065 - ,0040

1.050 0..3079 0.5308 0,,7889 2.300 0.0045 0.0083 o!,0053

1.075 0,.3874 0.6535 1,,0188 2.325 0.0049 0.0051 ,0053

1.100 0,.4183 0.7239 1.,1490 2.350 0.0018 0.0048 . ,0026

1.125 0,.4251 0.7251 1,,1768 2.375 0.0006 0.0021 0:.0025

1.150 0..4157 0.7026 1.,1510 2.400 0.0031 0.0002 0..0044

1.175 0,.3840 0.6573 1.,0827 2.425 0.0019 0.0023 - ,0117

1.200 0..3594 0.6025 0,,9913 2.450 0.0012 0.0020 - .0082

1.225 0,.3259 0.5498 0,,8913 2.475 0.0016 -.0008 ,0117

1.250 0..2957 0.4953 0.,7963 2.500 -.0004 -.0007 .0156

-418-
DIRECT CORRELATION FUNCTIONS FOR T* = 3.0

a.22/^11 = 2.00 p* =0. 178 ^r 0.9502 ^22/^ir 3.00

R* ^11 ^12 <'22 R* ^11 ^12 ^^22

.025 -2 .0984 -1.6362 -5 .5434 1.275 0.2671 0.4558 .7321

.050 -2 .0891 -1.6389 -5 .4569 1.300 0.2361 0.4145 .6613

.075 -2 .0739 -1.6438 -5 .3234 1.325 0.2147 0.3710 .5833

.100 -2 .0540 -1.6503 -5 .1553 1.350 0.1946 0.3339 .5465

.125 -2 .0299 -1.6590 -4 .9644 1.375 0.1769 0.2996 .4828

.150 -2 .0027 -1.6695 -4 .7607 1.400 0.1591 0.2716 .4396

175 -1 .9731 -1.6821 -4 .5518 1.425 0.1406 0.2431 .4028

200 -1 .9418 -1.6963 -4 .3428 1.450 0.1299 0.2167 .3563

225 .]_ 9095 -1.7122 -4 1371 1.475 0.1163 0.1961 .3151

250 - X .8765 -1.7292 -3 .9369 1.500 0.1048 0.1806 .2866

275 - ]_ 8433 -1.7465 -3 .7434 1.525 0.0938 0.1650 .2562

300 -1 .8100 -1.7633 -3 5573 1.550 0.0854 0.1461 .2337

325 -1 .7770 -1.7778 -3 3789 1.575 0.0763 0.1362 .1907

350 - 1_ .7444 -1.7892 -3 2083 1.600 0.0694 0.1196 .1962

375 . ]_ 7123 -1.7952 -3 0452 1.625 0.0627 0.1105 1865

400 - ]_ 6808 -1.7961 -2 8896 1.650 0.0565 0.1029 .1571

425 .

j_ 6499 -1.7903 -2 7411 1.675 0.0507 0.0907 .1299

450 -

J_ 6197 -1.7791 -2 5994 1.700 0.0473 0.0827 1282

475 -1 5902 -1.7616 -2 4642 1.725 0.0410 0.0761 1147

500 -5614 -1.7397 -2 3354 1.750 0.0379 0.0694 1046

525 . ]_ 5334 -1.7132 -2 2126 1.775 0.0343 0.0610 0851

550 - 1_ 5060 -1.6837 -2 0955 1.800 0.0302 0.0559 0887

575 . ]_ 4795 -1.6512 9840 1.825 0.0304 0.0532 0802

600 . ]_ 4536 -1.6168 - ]_ 8779 1.850 0.0248 0.0475 0548

625 -1 4285 -1.5808 -7768 1.875 0.0239 0.0432 0541

650 ]_ 4040 -1.5439 _ ]_ 6807 1.900 0.0197 0.0383 0463

675 . j_ 3803 -1.5064 . j_ 5894 1.925 0.0178 0.0347 0340

700 _ ]_ 3573 -1.4686 -

]_ 5027 1.950 0.0185 0.0319 0277

725 -1 3349 -1.4309 - ]_ 4206 1.975 0.0141 0.0295 0298

750 - "]_ 3133 -1.3935 - "]_ 3428 2.000 0.0144 0.0274 0238

775 . j_ 2923 -1.3566 . \ 2693 2.025 0.0125 0.0248 0138

800 - X 2720 -1.3204 . 2. 2000 2.050 0.0116 0.0216 0027

825 -1 2520 -1.2850 -1 1349 2.075 0.0116 0.0217 0083

850 .

1_ 2290 -1.2505 . \ 0739 2.100 0.0079 0.0200 0096

875 -]_ 1807 -1.2105 .]_ 0170 2.125 0.0070 0.0174 0134

0. 900 .

]_ 0622 -1.1552 . 9628 2.150 0.0077 0.0139 - 0147

925 . 8464 -1.0012 . 8935 2.175 0.0051 0.0130 - 0076

950 . 5593 -.7635 . 7560 2.200 0.0045 0.0104 - 0105

975 . 2704 -.4031 . 4645 2.225 0.0046 0.0094 - 0129

1 000 . 0150 -.0233 . 0380 2.250 0.0033 0.0089 - 0181

1 025 1782 0.2872 4227 2.275 0.0030 0.0064 . 0258

1 050 3006 0.5339 8286 2.300 0.0037 0.0063 - 0193

1 075 3726 0.6537 1 0636 2.325 0.0008 0.0057 - 0171

1. 100 4053 0.7228 1 1873 2.350 0.0011 0.0059 - 0214

1 125 4098 0.7239 1 2077 2.375 0.0010 0.0052 - 0189

1 150 3962 0.7019 1 1555 2.400 0.0005 0.0075 - 0215

1 175 3755 0.6597 1 0725 2.425 0.0011 . 0044 - 0280

1 200 3493 0.6120 1 0049 2.450 -.0004 0.0013 - 0253

1 225 3196 0.5550 8791 2.475 -.0003 0.0017 - 0289

1 250 2942 0.5053 8160 2.500 -.0010 0.0015 - 0221

*U.S.GOVERNME^^ PRINTING OmCE: 19 89^75 .785/ so 91*

419
NBS-n4A (REV. 2-8C) U.S. DEPT. OF COMM. BIBLIOGRAPHIC DATA

SHEET (See instructions)

1. PUBLICATION OR

REPORT NO.

NIST/TN-1331

2. Performing Organ. Report No, 3. Publication Date

May 1989

4, TITLE AND SUBTITLE

Properties of Lennard-Jones Mixtures at Various Temperatures and Energy Ratios

Uith a Size Ratio of Two

5. AUTHOR(S)

Marcia L. Huber and James F. Ely

6. PERFORMING ORGANIZATION (If joint or other than NBS. see instructions)

NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY

U.S. DEPARTMENT OF COMMERCE

GAITHERSBURG, MD 20899

7. Contract/Grant No.

8. Type of Report & Period Covered

9. SPONSORING ORGANIZATION NAME AND COMPLETE ADDRESS (Street. City. State. ZIP)

10. SUPPLEMENTARY NOTES

I I Document describes a computer program; SF-185, FlPS Software Summary, is attached ABSTRACT (A 200-word or less factual summary of most significant information. If document includes a significant

bibliography or literature survey, mention it here) In this work we present the results of molecular dynamics computer simulations

for binary Lennard-Jones mixtures with a size ratio of two. A total of 84 state

points were investigated, at seven compositions ranging from 5 per cent to 95

per cent of the small molecule, energy ratios from 0.5 to 3.0, and three reduced

temperatures. In addition to the thermodynamic results, we present extensive

tabular data for the radial distribution functions, local compositions and the

direct correlation functions. We also discuss several theories of dense fluid

mixtures and give a new approximation for the radial distribution function of a pair in a mixture, which we call the modified mean density approximation. The

predictions of various thermodynamic quantities from the different liquid

mixture models are compared with simulation results. For mixtures with large

size differences, the modified mean density approximation was found to be

competitive with first order, Lee-Levesque type statistical mechanical

perturbation theory.

11.

12. KEY WORDS (Six to twelve entries; alphabetical order; capitalize only proper names; and separate key words by semicolons)

computer simulation; Lennard-Jones mixtures; mean density approximation,

molecular dynamics

13. AVAILABILITY

[X] Unlimited

I I For Official Distribution. Do Not Release to NTIS

iXj Order From Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402.

[^]] Order From National Technical Information Service (NTlS), Springfield, VA. 22161

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PRINTED PAGES

426

15. Price

USCOMM-DC 6043-P80





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