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Bureau of Standards

8 1974

cuu

— Rei.

Tables of Collision Integrals and

n Second Virial Coefficients for the

(m,6,8) Intermolecular Potential Function

Max Klein

Heat Division

Institute for Basic Standards

National Bureau of Standards t/ NSRD5 - NB5 Y)o • H I Washington, D.C. 20234

H. J. M. Hanley

Cryogenics Division

Institute for Basic Standards

National Bureau of Standards

Boulder, Colorado 80302

Francis J. Smith

Department of Mathematics

The Queen’s University

Belfast, North Ireland

Paul Holland

Formerly Cryogenics Division

Institute for Basic Standards

National Bureau of Standards

Boulder, Colorado 80302

N SRD S

U.S. DEPARTMENT OF COMMERCE, Frederick B. Dent, Secretory

li *S. NATIONAL BUREAU OF STANDARDS, Richard W. Roberts, Director 4^

Issued June 1974
Library of Congress Catalog Card Number: 73-600059

NSRD-NBS 47

Nat. Stand. Ref. Data Ser., Nat. Bur. Stand. (U.S.), 47, 157 pages (June 1974)

CODEN: NSRDAP

(L) 1974 by the Secretary of Commerce on Behalf of the United States Government

U.S. GOVERNMENT PRINTING OFFICE

WASHINGTON: 1974

For sale by the Superintendent of Documents, U.S. Government Printing Office

Washington, D.C. 20402 (Order by SD Catalog No. 03.48:47). Price $1.90.

Stock Number 0303-01125
Foreword

The National Standard Reference Data System provides access to the quantitative data of physical science, critically evaluated and compiled for convenience and readily accessible through a

variety of distribution channels. The System was established m 1963 by action of the Presiden s

Office of Science and Technology and the Federal Council for Science and Technology, and

responsibility to administer it was assigned to the National Bureau of Standards.

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Research Council of the National Academy of Sciences-National Academy of Engineering. A number of Advisory Panels, each concerned with a single technical area, meet regularly to examine

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need of further attention. For selected specific topics, the Advisory Panels sponsor subpanels

which make detailed studies of users’ needs, the present state of knowledge, and existing data resources as a basis for recommending one or more data compilation activities. This assembly ol

advisory services contributes greatly to the guidance of NSRDS activities.

^

. . The System now includes a complex of data centers and other activities in academic institutions and other laboratories. Components of the NSRDS produce compilations of critically

evaluated data, reviews of the state of quantitative knowledge in specialized areas and computations of useful functions derived from standard reference data. The centers and projects also

establish criteria for evaluation and compilation of data and recommend improvements m experimental techniques. They are normally associated with research in the relevant field.

‘ The technical scope of NSRDS is indicated by the categories of projects active or being

planned: nuclear properties, atomic and molecular properties, solid state properties, thermodynamic and transport properties, chemical kinetics, and colloid and surface properties.

. Reliable data on the properties of matter and materials is a major foundation of scientific and technical progress. Such important activities as basic scientific research, industrial quality con--

trol, development of new materials for building and other technologies, measuring and correcting

environmental pollution depend on quality reference data. In NSRDS, the Bureau’s responsibility

to support American science, industry, and commerce is vitally fulfilled.

Richard W. Roberts, Director

iii
Contents

Page Foreword iii

1. Introduction 1

2. General formulas 2

A. Transport Properties * 2

B. Equilibrium Properties: The Second Virial Coefficient 4

3. Numerical methods 4

A. Collision integrals 4

B. Second virial coefficients 4

4. Accuracy of the tables 5

5. Using the tables in the fitting of experimental data 8

6. Conclusion 9

7. References 9

List of Tables

Table No.

1. Values of the ratio rm/cr and the Boyle point parameters for the (m, 6, 8) potential

function for various values of m and y 11

2. Collision integrals for the (m, 6, 8) potential for various values of m and y 12

3. Thermal diffusion factor for the (m, 6, 8) potential function for various values of

m and y 72

4. Second virial coefficients of the ( m, 6, 8) potential for various values of m andy 92

5. The first derivative of the (m, 6, 8) potential for various values of m and y 112

6. The second derivative of the ( m, 6, 8) potential for various values of m and y 132

IV
Tables of Collision Integrals and Second Virial Coefficients for the (to, 6, 8)

Intermolecular Potential Function

Max Klein,* H. J. M. Hanley, Francis J. Smith, and Paul Holland

Tables of collision integrals and second virial coefficients are presented for the (m, 6, 8) potential function. Ten values of the repulsive exponent m are included which range in unit steps from m — 9 through m = 18. Approximately 6 values of the parameter, y, associated with the inverse eighth power

term, are included for each value of m. These tables are equivalent, therefore, to tables for 60 three- parameter (m, 6) potential functions. Comparisons of our results for m— 12 and y=0 (corresponding

to the (12, 6) function) have been made with other calculations. Based on these comparisons, the accu- racy of the present calculation appears to be at least two or three parts in 10,000 depending on the temperature. A table is included which contains the Boyle temperature, the Boyle volume, and the ratio of the intermolecular separation at the potential minimum to the separation at the zero of the potential.

Key words: Collision integrals; diffusion; potential; thermal conductivity; thermal diffusion; transport

properties; viscosity.

1. Introduction

In previous work the relationship between model

potential functions, statistical mechanical expressions [1]

1 and experiment has been studied in

detail [2]. Among the results obtained in these

studies was one which showed that all reasonable

three-parameter potential functions give equivalent

descriptions of binary transport and equilibrium

data. This has led us to the (arbitrary) choice of the

(m, 6) potential function family as a convenient

representation of three parameter function families.

This ( m, 6) three-parameter potential has been

investigated and tables of collision integrals and

second virial coefficients published [3j. These

tables have been used extensively, for example,

in the correlation of second virial coefficients for a number of important gases [4]. The (m, 6) family

has also been used in other ways: as the central

potential in a polar potential function for the

development of tables of second virial coefficients

for polar molecules [5] and in the calculation of

tables of Wigner-Kirkwood quantum corrections

to the second virial coefficient [6], A further result of the earlier studies [2] was

that all three-parameter functions were not suffiSupported in part by the Air Force Systems Command, Arnold Engineering De

velopment Center, Tullahoma, Tennessee 37388. Delivery Order Numer (40-600; 66-938 Program Element 61445014 AF Project 8951.

1 Figures in brackets indicate the literature references on page 9.

ciently flexible to correlate macroscopic properties

and the (m, 6) was no exception. For instance it was shown that one could not use it to correlate

high and low temperature transport property data

simultaneously nor could one simultaneously cor- relate equilibrium and transport property data.

It became obvious that additional parameters were

required and this paper represents the result of an attempt to add a fourth parameter to the threeparameter (m, 6) function family. The ( m , 6, 8)

function family has thereby been produced.

In this paper we present tables of collision integrals and second virial coefficients for this new

potential which has the form

Here m is an index of repulsion and the exponents

six and eight are indices of attraction. A is the

coefficient for repulsion whereas B and C are the

coefficients for attraction. This potential has already

been shown to be far more flexible than the (m, 6)

[7]. While this is to be expected, since the {m, 6, 8)

is a four-parameter function, the extent of the

improvement in the quality of the fit is much more

than we had expected on the basis of simply

adding a parameter.

We note that the extra term, C/r8

, has a reasonable physical basis in that it follows from the

1
quantum mechanical expression for the dispersion

forces between two separated molecules [8]. The

particular choice of a three-parameter potential

function to which to append an inverse eighth power

attraction is somewhat arbitrary as a result of the

equivalence of such functions in the usual context

of potential parameter determination. If it is decided to accept the inverse sixth power term on

physical grounds, then this arbitrariness, of course,

applies only to the repulsive term. An argument can

be made, based on high energy scattering data [9], for the use of a shielded coulomb form for the re- pulsion. Despite this, we have chosen to continue

to use the single term inverse power repulsion con- tained in the (m, 6) function. The reasons are as

follows: First of all, such a form is simple. Secondly, the repulsive index, m, serves as a simple

indicator of the hardness of the repulsive core. Also, the potential functions derived from two body

scattering data have often been represented by

simple inverse powers of the internuclear distance

[10]. Furthermore, this potential has been used in a number of more complicated theories, in some

instances because the particular theory of interest

involves derivatives of the potential which, for

simple inverse powers, then lead to simple recursion formulas on the index m [11]. The use of the

simple inverse power is consistent with our efforts

applied to the three parameter (m, 6) function and

is, therefore, a natural extension of the ( m, 6) function. Finally, the details of the repulsion are ex- pected to become important only at very high

temperatures for most substances.

The potential function (1) can be written in re- duced form by dividing the distance, r, by a characteristic length and the energy 4> by a characteristic

energy. A convenient form results when the intermolecular separation at the potential minimum is taken for the characteristic length and the depth

of the potential well at that minimum taken as the

characteristic energy. There results a reduced form

of eq (1) viz.,

[6+2y] (i)”

It is common practice to use, as the characteristic

length, the value of r for which (f)= 0. This length

is generally designated cr. Explicitly introducing

the ratio of these lengths (i.e., d = rml<j) into the

reduced form of the potential, allows for a choice

between these representations:

d

m

<t>*(r*) =

m — o d

6 m — 6

[m — y(m — 8)] (la)

Setting d equal to unity in (la) leaves r* defined as

r/rm . Using the actual value of d converts r* to the

definition r/ cr. In converting between these methods

of reduction, care should be taken to convert the

reduced collision integrals and second virial coeffi- cients in a consistent manner. To facilitate conversions between the two methods of reduction, we

have included values of d for each of the (

, 6, 8)

potentials used; these appear in table 1. It should

be noted that d is not a free parameter.

2. General Formulas

Statistical mechanics and kinetic theory provide

microscopic descriptions of equilibrium and non- equilibrium thermodynamics. As such, their use

generally results in expressions relating macroscopic experimental properties to theoretical

microscopic intermolecular potentials.

A. Transport Properties

The Chapman-Enskog solution of the Boltzmann

equation provides one with a formally complete

solution of the problem of describing the transport

properties of dilute gases. In particular, one obtains

expressions which relate the transport coefficients

appearing in the experimental phenomonological

flow equations to the intermolecular potential

function. The expressions for the properties of

particular interest are, to a first approximation [1]:

Viscosity (rj): where <£* = </>/e, in which e is the depth of the potential well, r*— r/rm , where rm is the intermolecular

separation at which (f)* = — e and y is a measure of

the strength of the inverse eighth power attraction.

5/ \ 266.93 (MT) >'* T)_

16 \nR2a<2 ’ 2>*(T*)J K*n<2 ’ 2>*(r*)

10

g cm-1

s -1

. (2)

2
Thermal Conductivity (A.): [1]. These are:

25 / V7jmkT \

X =

32

Cv,m

\TrR 2 W2 ’V*{T*))

5

2

CvV

J cm-1

s -1 deg-1

.

Self-diffusion coefficient ( D): 3/ V2rfP/^ \ 26.28 (P/M) 1,2 16 [pnR2 ^1 - »*(T*)}~ pfl 2 !!' 1 , i)*(r»)

10 -4 cm2 s -1

.

where the first form is in the natural units of the

theory and the second in a more practical gram

molecular set of units. In these expressions m is the mass of a particle, R, the characteristic distance

associated with the potential, is generally either

rm or cr, T the absolute temperature, p the gas

pressure, fl (, > s) * (T*) the reduced collision integral

at the reduced temperature T^^kT/e, M the molecular weight, and p the reduced mass. The collision integrals s) * (

J

1 *) are related to the reduced potential function through the relations

n(z ’ s) *(r*)

2

(5 — 1 ) !T*(s + 2)

n(2 > 2) * A * —

fta,p*

5fl(1 ’ 2) * — 4ft(1 ’ 3) * B* =

i ’ i >* qum

c

a^ 1 ’ 1 )*

F* =

0(2 > 2)*

n(3 ’ 3) * F* =

a( 1 ’ 1 )* We have also calculated the isotopic thermal

diffusion factor for the first order solutions to the

Boltzmann equation (at zero density) for both the

Chapman-Cowling and Kihara methods, [12, 13] as well as for the second order Kihara solution.

The question of the convergence of the thermal

diffusion factor as higher order terms are taken

has been examined by Mason [12] and others [13]. Our calculations were based on the following

expressions:

~ ~g*2

~ T* I g*(2s+3)Q(l)* (g'*) d

g*

where is a cross section which is a function

of the reduced energy of the collision and is given

by

(*0*(g*)

1-1 [! + (-!)']

2 1 + / J

— cos

l x)b*db*

The first order Chapman-Cowling approximation: _ 15(6C* — 5) (2A* + 5)

L<*o.

J

CCl — 2a*(16A*-12B* + 55)

'

The first order Kihara expression:

15(6C*— 5)

[« 0 ] /c x 16A"

with the intermolecular potential function being

contained in the equation for the scattering angle

X(g*, b*) = 77 — 26*

dr*/r*

A^l — (6*) 2 /(r*) 2 — 4>*(r*)/g*2

r* is the reduced distance between a pair of molecules at the time of closest approach (and should

not be confused with the rm previously defined)

while 6* is the reduced impact parameter.

Certain ratios of the collision integrals appear in

the transport theory of multicomponent mixtures

The second order Kihara expression:

[<*o]fr2 = [ooJccjQ + 8) (3)

where the subscript k is used to indicate a Kihara

form and cc that of Chapman and Cowling and where

2A* — + 7A* + 4F*

.4

/7(5-6C*)-M*7*

I 5 + 2A*

/35

(

E

+28A*-6F*

2L4* ) 5[„* 7 / 5—6C\ 3rn

slsWj-To-j

3
where

and

H* =

I* = 7 -8E*

-~3B*-6C*

jl

5-6C*

We have chosen to include here only tables of

[oo]/c2 , the second order Kihara expression. [cxolc^

and [ooJa-j can be simply calculated from the

collision integrals.

The factors fn, /a, and /d used to obtain Kihara’s

second approximation to the coefficients of viscosity,

diffusion, and thermal conductivity can be computed from the following relations:

virial coefficient. Reduced expressions for these

derivatives are easily obtained by simple differentiation of the reduced second virial coefficient.

The derivatives are given by

dB*

B* = T* ——=

1 dT* T~ J

exp (-(f>*(r*)/T*)

(f)*{r*)r*2 dr*

and

d

2B*(T*) £* — y*2 v ’ — 2B *

2 dT*2 1

1 J exp ( — (f>*(r*)/T*) [(f)*(r*)] 2 r* 2 dr*.

•A= 1 +

lie ( 8£,*~

7 > 2

h= 1 +

42

(8£

*~

7)2

/c= 1 + (6C*— 5)

2/(16/4* + 40).

Partial integration of expression (4) for the second

virial coefficient yields the following useful form

for that quantity.

B*(T*)=~—"*ir

Jo

d(f>*(r*)

dr*

exp ( — <f>* (r*) /T*) r*3 dr *

.

( 5)

Tables of these quantities have not been included

both in the interest of conserving space, since they

are seldom used because they differ only slightly

from unity, and because they have very weak

temperature dependences.

B. Equilibrium Properties: The Second

Virial Coefficient

According to the Ursell-Mayer density expansion of the equation of state, the experimental

second virial coefficient of Kamerlingh-Onnes,

B{T), is related to the intermolecular potential by

the expression [1]. B{T)—2ttN \

[1 — exp (—(f){r)lkT)]r2 dr

Jo

where N is Avogadro’s number. This leads directly

to the definition of a reduced second virial coefficient

B*(T*) = 3 ^ [1-exp (-(f>*(r*)IT*)]r*2 dr* (4) Jo

9-7T such that B(T) = boB*(T*) with bo— — Ncr3

. o The coefficients of the first density corrections

for certain other thermodynamic properties contain

the first two temperature derivatives of the second

The use to which this form was put in the present

calculations is described in the following section.

3. Numerical Methods

A. Collision Integrals

The numerical methods employed in the collision

integral calculation have been described elsewhere

in considerable detail and will not be discussed here

[14]. It should be noted, however, that the methods

described in [14] differ from those employed earlier

for the ( m, 6) function family [3].

B. Second Virial Coefficients

The numerical calculation of the second virial coefficient requires the evaluation of a single rea- sonably well behaved integral, a much simpler

task than that associated with the evaluation of the

collision integrals. Despite this simplicity, the cal- culation had to be carried out with some caution

particularly at the low and high temperature ex- tremes primarily because of the steepness of the

repulsive part of the potential function. This

caution was inserted into the computer program

through the use of automatic testing procedures.

The first of these testing procedures had to do with

establishing the adequacy of the numerical grid.

4
In this procedure, the range of integration was

divided into five parts with the integration carried

out separately in each part. For flexibility, the

specific definition of the limits of these five parts was made part of the input data. A Gaussian quadrature integration method, [15], was used in each

part with the number of points taken to be adjustable up to a maximum of 128 points. The input

data also required the specification of the number

of points to be used initially in each of the five intervals. If, in a given interval, the initial number

of integration points used is designated no then,

at each temperature, all four integrations (i.e., one each for the two expressions for 5*, i.e., eqs (4) and (5), and one each for the single expressions for dB*/dT* and d

2B*!dT* 2

) were carried

out for that interval using both n0 and n0/ 2 for the

number of integration points. The results for the

two integrations (i.e., one for n0 points and one for no/ 2 points) were then compared for each of these

four integrations and, in each case, the fractional

difference between the two results was required

to be less than a preassigned tolerance. Where this

tolerance was not satisfied, the number of points was doubled to 2 no, a single integration carried out

in this same interval for each function, and the

results obtained compared with those previously

obtained for no points in that interval. This procedure was continued until either the tolerance was

satisfied or until 128 points were used unsuccessfully. In either case, the computation automatically

proceeded to the next integration interval for the same temperature, with printout being used

to indicate an unsuccessful integration attempt

should the tolerance not be satisfied even for

128 points. The ability to specify the limits of the

five parts of the integration as part of the input

data made it possible always to satisfy the tol- erance with 128 points or less for each of the five intervals at each temperature. This was accomplished, necessarily, by making the integration

pieces small where the integrands varied rapidly

and large where they were slowly varying. In almost every instance, the automatic testing

procedure just outlined resulted in the production

of very accurate second virial coefficients. In some

instances, however, this procedure proved to be

inadequate in that the test was satisfied but erro- neous answers were obtained. Such cases were

detected when a second test was invoked. In the

preceding section, two forms for the second virial coefficient were presented, i.e., eqs (4) and (5).

These two forms, being exactly derivable from each

other by partial integration, are entirely equivalent.

A close look at the integrands, however, shows that

the two integrands behave quite differently numerically. (This is obviously true in the limit r~> 0.) This

difference in behavior has been used to considerable

advantage in these calculations as follows.

At each temperature, the second virial coefficient was calculated using both expressions and the re- sults obtained for each method printed out. In almost every case, the two values thus obtained were in agreement to at least five figures. In some

instances, however, significant disagreement was

found. This was particularly true at high temperatures. When this occurred, it could always be traced

to the rapid variation of the integrands at the end

of an integration interval. The effect of such rapid

variations at the end of the range of an integration can easily be inadvertently omitted in the Gaussian

method of integration. Since, for a given choice

of this integration interval the omission does not

apply equally to the two integrands, the results

of the integrations using the two forms for the

second virial coefficients necessarily differ from

each other. As might be expected, this problem

could always be cured by a proper redefinition of

the integration intervals so as to include more of

the rapid variation in the interior of an integration

interval and hence to represent the function more

accurately numerically. This resulted in the use of

different sub-intervals at different temperatures.

For no potential was it necessary, however, to use more than three definitions of integration intervals over the entire temperature range.

4. Accuracy of the Tables

The complexity of the numerical methods re- quired for the calculation of the collision integrals

convinced us of the need for a careful assessment of

the numerical accuracy of these tables. Both computer programs, i.e., that for the collision integrals

and that for the second virial coefficients, have pro- visions for calculating to a specified tolerance. In each case, the tolerance was set at one part in ten

thousand. Accuracy tests were then carried out

aimed, in part, at determining if an accuracy at least equal to the tolerance was indeed obtained.

The tests used included the differencing of a rep- resentative set of the calculated functions and,

where possible, comparison with other published

calculations. Particular emphasis was placed on

5
comparisons with other calculations for the (12, 6)

(i.e., 7 = 0.) potential function because of the large

number of calculations that have been published

for that function.

Two methods have been used by us to test for

numerical accuracy. The first of these is analogous

to a determination of the precision of experimental

data. In this, the tables were differenced numerically.

In addition to giving a strong indication of precision,

differencing has the advantages of isolating numerical errors and of indicating the order of the formula

required for interpolation. The precisions assigned on the basis of these differences are discussed

below. The second method is analogous to an accuracy determination of experimental data, i.e., an estimate of accuracy was obtained by means of

a comparison with other published tables of colli- sion integrals for the (12, 6) potential function

[16, 17, 18, 19, 20, 21, 22, 23]. Such a comparison was also used in our earlier work [3]. The results

of this comparison are included as figures 1, 2, and

3 for fl (1,1) *. Similar behavior was obtained for

0( 2 . 2 )* which is discussed below.

44.75 n'

1 - 0 *

FIGURE 1 . Deviations o} published tables of for the

(12, 6) potential in the temperature range 0.1 < T* 1 . 0. The symbols appearing in this figure refer to the following papers: X[I6],0[17],

[18], A [19], *[20], [21], 9[3], <*>[22].

Figure 2. Deviations of puu,ished tables of for the

(12, 6) potential in the temperature range 1.0 T* =£ 10. The symbols are as in figure 1.

Certain of the functions tabulated were dif- ferenced through fourth order and the results

printed out. These differences indicated that the

tables of second virial coefficients and their first and second derivatives are at least as precise as the one part in 10,000 at which the computation was aimed. Furthermore, this appears to be true

at all temperatures. The differences for the col- lision integrals and the associated functions

presented a more complicated picture, however.

Differences were computed for the integrals

IT 2 ’ 2)*, for the ratio A *, and for the Kihara second

order thermal diffusion factor ar. Judging by the

behavior of these differences, the collision integrals have been calculated to a precision of one

part in ten thousand or better for reduced temperatures of T* = 3.0 and above. At temperatures

between T* = 2.0 and 3.0, the precision obtained

is certainly better than two or three parts in ten

thousand with a strong possibility that the required

precision of one part in ten thousand was actually

realized. Between a reduced temperature T*=1.0

and 2.0, the differences indicate that a precision

6
t ol'.U*

l*.279

FIGURE 3. Deviations of published tables of for the

(12, 6) potential in the temperature range 10. *£ T* ^ 200.

The symbols are as in figure 1.

of at least three or four parts in ten thousand was

realized, while below 7**= 1.0, they indicate that a precision of slightly better than ten parts in ten

thousand (i.e., 0.1%) was obtained. The reasons

for this loss of precision at the lowest temperatures

are not at all clear and are under investigation.

An examination of the calculated differences

for the thermal diffusion factor indicates that,

for corresponding temperatures, these have been

calculated to a lower precision than were the col- lision integrals, in fact to a precision one order of

magnitude worse, viz, 0.1 to 1.0 percent depending

on the reduced temperature. Since the thermal

diffusion factor is calculated from differences

involving the collision integrals, such a loss in

precision is to be expected.

In the sense that it describes internal consistency, an estimate of precision based on an examination of differences is analogous to the precision

of experimental data. As in the case of experimental data, estimates of the accuracy of the tables can be had mainly from a comparison with results

published by other workers. Figure 1 contains deviation plots in which are plotted the deviations of

other calculations (in parts per thousand) from the

present tables. The tables of Hirschfelder et al. [1] and those of Andrussow and Schramm [23]

have been omitted from the plots, since deviations

of each of these are over an order of magnitude

larger than are the deviations included in figure

1 over much of the temperature range. The tables

of Andrussow and Schramm differ systematically

from the present tables by more than five parts

per thousand over most of the temperature range.

If a small number of apparently randomly

distributed off-scale points are neglected, the

differences from other workers shown in the plots are consistent with the precision determined from

the examination of differences, with the following

exceptions. At temperatures above T* = 1.0,

the Klein and Smith (12,6) tables, [3], and those of

Lin and Hsu, [20], differ from the present (12, 6)

tables by up to four parts in ten thousand. In this

same range, fl(2>2) * values published by Krieger,

[21], deviate from the present tables by up to two

parts in ten thousand. The high temperature values

of Monchick and Mason, [18], for both and

0(2,2) * and of O’Connell and Prausnitz, [19], for

0(2 - 2) * appear to by systematically in error. With

similar exceptions the deviation plots are also consistent with the precisions determined from the

differences in the range T* = 3.0 through T*= 10.0. With the exception of the calculation by Lin and

Hsu, the deviation plots are consistent with the

precisions below T* = 1.0. It is interesting to note

that deviations from the various calculations appear

in essentially equal numbers on the two sides of

the base line. This precludes the drawing of any

conclusions with respect to preferred published

tables.

A number of interesting features appear in the

deviation plots. First of all, there is a strong tendency

for a given calculation to deviate systematically

from the present tables indicating that some key

aspect of the calculation (e.g., the calculation of

r m, the distances of closest approach) is carried out

in such a way as to produce, on the average, a deviation from the present calculation of the same sign

at all temperatures. The large deviations from the

earlier calculations of Klein and Smith are inconsistent with the deviations listed in table 1 of their

publication. Through an oversight, the tables used

for their table 1 were not the same as the collision

integrals published. It is interesting to note, nevertheless, that a considerable improvement has been

obtained, in relation to other published tables, over

7
the deviations in table 1 of Klein and Smith particularly in the case of the integrals Klein

and Smith showed a relatively large systematic

deviation of the same sign from most other calculations for T* below 2.0. The corresponding deviations associated with the present calculation are much more uniformly spaced about the base line.

5. Using the Tables in the Fitting of

Experimental Data

Reduced tables of collision integrals and second

virial coefficients are meant to be generalized tables

applicable to all gases. It is therefore necessary to develop methods for fitting experimental data

using these tables which are independent of any

substance. Thus, for a given substance, the assumption is made that the form of the potential is correct,

it then being necessary to seek the parameters

m, cr, e and y which give the best fit, in a least

squares sense, to the data for that substance. A

number of specific methods for doing this have

been described in the literature. These generally

differ from each other according to the extent to which graphical techniques are included.

At one extreme are methods in which nonlinear

regression computer programs are used to obtain

that set of parameters m, cr, eand y which yields the

overall least squares minimum. In this approach,

it is possible to include criteria for automatically

removing from consideration those experimental

points which deviate from the fit by more than some

multiple of the standard deviation. At the other end

are methods, such as those described by Hirschfelder et al. [1] and Mason and Rice [24], in which

graphical means are used directly in the determination of the parameters. The method devised by

Hanley [25] is intermediate between the extremes.

It has been our experience that sufficient use should

be made of graphical techniques to allow for the

observation of inconsistencies among the data and

to aid in obtaining a feeling for the sensitivity of

the fit to minor changes in the parameters in the

vicinity of the solution (i.e. , the “flatness” of the

multidimensional least squares surface near the

minimum).

In this section we shall describe a conceptually

very simple method for the fitting of the data, our purpose being broadly pedagogical rather than

specifically utilitarian. The reader is referred to the literature for other, perhaps more useful, methods. We shall restrict our discussion to the fitting

of viscosity and isotopic thermal diffusion factor

data. The fitting of thermal conductivity, self- diffusion, and second virial data proceeds in essentially the same way as does the viscosity.

The fitting process of necessity starts with a

set of experimental viscosity data as a function of

the laboratory temperature T, a set of collision

integrals as a function of the reduced temperature

F* and the relation (2) which connects these. We

shall consider only one member of the (m, 6, 8)

potential family which means that both m and y

are to be held fixed during our entire discussion.

For convenience, we shall rewrite (2) so that ex- perimental quantities appear on the left hand side

and theoretical quantities on the right. There re- sults the relation (in the practical set of £ram

molecular units)

10 7rj 1 (266.93) (MT)l l 2 —

/?W2,2)*(r*) (6)

The procedure begins with guesses at the potential

parameters R (which can be either o or r m) and

e/k. To every experimental temperature there then

corresponds a guess at a reduced temperature

T* = TI(elk) (where the guess value is used for

e/k). Thus, for each experimental temperature,

there corresponds a collision integral fl (2,2) *

( T*).

Using the guess value of R, it is then possible to construct the deviation of a theoretical quantity

(the right hand side of (6)) from an experimental

quantity (the left hand side of (6)). A sum over the

squares of these deviations, one for each experimental temperature, is then a measure of the

goodness of the fit of experiment by theory. For a given value of R, this process can be repeated for a sequence of values of e/k until that value of e/k

is found which results in a minimum for the sum of

the squares of these deviations for the chosen guess

value of R. After such a value of e/k has been found,

the process is repeated for a sequence of values of

R with, in each case, a value of e/k being found

which yields a minimum in the sum of the squares

of the deviations. These results are then compared

and, from among the set of minima, one for each of

the values of R used, that one is chosen which is the

least of all the minima. The associated pair of values

of R and e/k can then be said to be that pair of values

which produces the best overall fit to experiment in a least squares sense. This process can then be

continued for different values of m and y until

8
that member of the (ra, 6, 8) family has been found

which gives the best overall fit to the data.

Since it depends only on the single variable

T*

,

the process of fitting the isotopic thermal

diffusion factor is considerably simpler. For that

quantity, it is merely necessary to employ a se- quence of guesses at elk (for each m and y) until a least squares minimum is obtained. The parameter

R does not enter into the calculation.

Methods exactly analogous to that described for

the viscosity can be devised in an obvious way

for the thermal conductivity, self-diffusion coeffi- cient, and second virial coefficient.

We have included, as part of table 1, the Boyle

temperature and volume for each of these potentials since these quantities have proven useful in

the correlation of properties of gases. These quantities can be used to reduce the computation time

required in a fitting process which involves the use

of a number of these potentials. Thus, given a

set of “best” potential parameters elk and cr for one of the potential functions, good initial guesses can be obtained for the parameters associated with

a second potential from the ratios of the Boyle

temperature and volume for the second potential

to these same quantities for the first. A first guess

at e/k for the second potential can be obtained

merely by dividing the e/k which was obtained

for the first function by the ratio of the Boyle temperature for the second potential to the Boyle temperature for the first. A first guess at cr for the second

potential can be obtained by dividing the quantity

bo ( = f°r the first function by the analogous

ratio of the Boyle volumes. Because of the extensive

literature of (12, 6) parameters for various substances, we have specifically included the ratios

of the Boyle temperatures and volumes for each of

the functions to those for the (12, 6) functions,

[i.e., to that of the (12, 6, 8) function withy = 0].

6. Conclusion

In conclusion, we have calculated extensive

tables of collision integrals and second virial coefficients for the (m, 6. 8) potential function family as

a natural extension of the (ra, 6) function family,

the latter having been studied extensively by us and

by others. We have very carefully compared our

results with calculations by others for the particular case corresponding to the (12, 6) function, and have

concluded that the second virial coefficients at all temperatures and the collision integrals for T* > 3.0 are accurate to at least one part in ten thousand.

The accuracies of the collision integrals at temperatures below r*=3.0 become progressively worse

as the reduced temperature is lowered reaching one part in a thousand below T*= 1.0. We have introduced into our analysis the dis- tinction between precision and accuracy normally

reserved for experimental data and have found these

to be useful concepts particularly where complex

numerical calculations are involved. Such methods

of comparison should be more widely used in assess- ing the accuracy of numerically computed tables of

scientific interest.

7. References

[1] Hirschfelder, J. O., Curtiss, C. F.. and Bird, R. B., Molecular

Theory of Gases and Liquids (John Wiley and Sons. Inc., 1954).

[2] Hanley, H. J. M. and Klein, Max, Nat. Bur. Stand. (L.S.), Tech. Note 360, 85 pages (1967); Klein, Max, and Hanley,

H. J. M. , Trans. Faraday Soc. 64 , 2927, (1968): Hanley,

H. J. M. and Klein. Max, J. Chem. P'nys. 30, 4765, (1969).

[3] Klein, Max. and Smith. F. J., J. Res. Nat. Bur. Stand. (U.S.), 72A, (Phys. and Chem.), No. 4, 359-423, (July— Aug.

1968).

[4] Sengers, J. M. H. Levelt, Klein, Max, and Gallagher, J. S., to appear in the American Institute of Physics Handbook,

McGraw-Hill Book Company, Newr York.

[5] Gallagher, J. S. and Klein, Max. J. Res. Nat. Bur. Stand.

(U.S.), 75A (Phys. and Chem.), No. 4, 337—385 (JulyAug. 1981).

[6] Boyd, M. E., J. Res. Nat. Bur. Stand. (U.S.), 75A (Phys. and

Chem.), No. 1, 57—89 (Jan. -Feb. 1971).

[7] Klein, Max and Hanley, H. J. M., J. Chem. Phys. 53,4722

(1970).

[8] Reference 1, Chapter 13; Mason, E. A., and Spurling, T. H., Chapter 4, The Virial Equation of State (Pergamon Press, London, 1969); Margenau, H., and Kestner, N. R. , Theory

of Intermolecular Forces (Pergamon Press, London, 1969).

[9] Lane, G. M., and Everhard, E., Phys. Rev. 120,2064.(1960).

[10] Amdur, I., and Jordan, J. E., Advances in Chemical Physics,

Vol. X, John Ross, Editor, Chapter 2 (Interscience Publishers, New York, 1966).

[11] Mountain, R., and Zwanzig, R. W., J. Chem. Phys. 43,

4464 (1965).

[12] Mason, E. A., J. Chem. Phys. 27, 782 (1957).

[13] Saxena, S. C., J. Phys. Soc. (Japan) 11, 367 (1956).

[14] O’Hara, H., and Smith, F. J., J. Comp. Phys. 5, 328 (1970).

[15] Stroud, A. H. and Secrest, D., Gaussian Quadrature For- mulas (Prentice-Hall. Inc.. Englewood, N.J.. 1966).

[16] Barker, J. A., Foch, W., and Smith, F., Phys. FI. 7, 897,

(1964).

[17] Itean, E. C., Glueck, A. R., and Svehla, R. A., TND-481

National Aeronautics and Space Agency, Lewis Research

Center, Cleveland, Ohio (1961).

9
[18] Monchick, L., and Mason, E. A., J. Chem. Phys., 35,

1676 (1961).

[19] O’Connell, J. P., and Prausnitz, J. M., Advances in Thermophysical Properties at Extreme Pressures, PP. 19-31,

ASME, New York (1965).

[20] Lin, S. T. and Hsu, H. W., J. Chem. Eng. Data, 14, 328

(1969). The authors are indebted to Drs. Lin and Hsu

for an expanded version of their published tables.

[21] Krieger, F. A., Report RM-646, The Rand Corporation, Santa Monica, California.

[22] Smith, F. J., Munn, R. J., and Mason, E. A., J. Chem. Phys.

46,317 (1967).

[23] Andrussow, L., and Schramm, B., Landoldt-Bomstein,

Eigenschaften der Materie in ihren Aggregatzustanden, 5. Teil, Bandteil a Transportphanomene I, p. 726 (SpringerVerlag, Berlin, 1969).

[24] Mason, E. A., and Rice, W. E., J. Chem. Phys. 22, 843

(1954).

[25] Hanley, H. J. M., J. Chem. Phys. 44, 4219 (1966).

10
Table 1. Values of the ratio rm/cr and the Boyle point parameters for the (m

,

6, 8) potential function for various values of m and y m y d ^Boyle Tm/T12 ,6 Boyle ^Boyle Vml V12,6 Boyle 9 0.0 1.14471 4.55508 1.33271 0.71531 0.88176 9 1.00000 1.14190 4.34665 1.27173 0.72873 0.89830 9 2.00000 1.13929 4.15025 1.21426 0.74170 0.91429

9 3.00000 1.13686 3.96434 1.15987 0.75432 0.92985 9 4.00000 1.13458 3.78690 1.10796 0.76679 0.94522

9 5.00000 1.13244 3.61721 1.05831 0.77922 0.96054

10 0.0 1.13622 4.05789 1.18724 0.75278 0.92795

10 1.00000 1.13171 3.74269 1.09502 0.77526 0.95566

10 2.00000 1.12773 3.45363 1.01045 0.79717 0.98267

10 3.00000 1.12417 3.18564 0.93204 0.81914 1.00975

10 4.00000 1.12096 2.93500 0.85871 0.84181 1.03770

11 0.0 1.12888 3.69489 1.08104 0.78428 0.96678

11 1.00000 1.12333 3.31918 0.97111 0.81349 1.00279

11 1.50000 1.12087 3.14572 0.92036 0.82801 1.02068

11 2.00000 1.11858 2.98020 0.87194 0.84275 1.03885

11 2.50000 1.11645 2.82175 0.82558 0.85788 1.05750

11 3.00000 1.11446 2.66963 0.78107 0.87362 1.07691

12 0.0 1.12246 3.41791 1.00000 0.81123 1.00000

12 0.50000 1.11920 3.20571 0.93792 0.82846 1.02124

12 1.00000 1.11625 3.00616 0.87953 0.84571 1.04250

12 2.50000 1.10880 2.46697 0.72178 0.90105 1.11072

13 0.0 1.11679 3.19950 0.93610 0.83456 1.02876

13 0.40000 1.11396 3.01903 0.88330 0.84994 1.04772

13 0.80000 1.11138 2.84783 0.83321 0.86550 1.06690

13 1.00000 1.11017 2.76537 0.80908 0.87340 1.07664

13 1.50000 1.10735 2.56728 0.75113 0.89385 1.10184

13 2.00000 1.10478 2.37954 0.69620 0.91573 1.12882

14 0.0 1.11172 3.02273 0.88438 0.85497 1.05392

14 0.20000 1.11022 2.92803 0.85667 0.86328 1.06416

14 0.40000 1.10878 2.83612 0.82978 0.87165 1.07448

14 0.60000 1.10742 2.74662 0.80360 0.88012 1.08492

14 0.80000 1.10612 2.65943 0.77809 0.88875 1.09556

14 1.00000 1.10487 2.57443 0.75322 0.89755 1.10641 14 1.50000 1.10198 2.37043 0.69353 0.92070 1.13494

15 0.0 1.10717 2.87654 0.84161 0.87299 1.07613

15 0.20000 1.10563 2.77995 0.81335 0.88182 1.08702

15 0.40000 1.10417 2.68605 0.78587 0.89076 1.09804

15 0.60000 1.10278 2.59485 0.75919 0.89989 1.10929

15 0.80000 1.10146 2.50588 0.73316 0.90922 1.12079

15 1.00000 1.10020 2.41927 0.70782 0.91886 1.13267

15 1.50000 1.09728 2.21156 0.64705 0.94463 1.16444

16 0.0 1.10305 2.75361 0.80564 0.88904 1.09592

16 0.20000 1.10149 2.65573 0.77700 0.89830 1.10733

16 0.40000 1.10002 2.56070 0.74920 0.90774 1.11897

16 0.60000 1.09862 2.46825 0.72215 0.91745 1.13094

16 0.80000 1.09729 2.37832 0.69584 0.92746 1.14328

16 1.00000 1.09603 2.29052 0.67015 0.93787 1.15611

17 0.0 1.09930 2.64868 0.77494 0.90343 1.11365

17 0.20000 1 09774 2.55004 0.74608 0 91305 1.12551

17 0.40000 1.09626 2.45429 0.71807 0.92294 1.13770

17 0.60000 1.09486 2.36117 0.69082 0.93315 1.15029

17 0.80000 1.09354 2.27047 0.66429 0. 94380 1.16342

17 1.00000 1.09228 2.18220 0.63846 0.95496 1.17717

18 0.0 1.09587 2.55802 0.74842 0.91639 1.12963

18 0.20000 1.09431 2.45897 0.71944 0.92634 1.14190

18 0.40000 1.09284 2.36281 0.69130 0.93661 1.15456

18 0.60000 1.09145 2.26924 0.66393 0.94734 1.16778

11
Table 2. Collision integrals for the (m, 6, 8) potential for various values of m and y

Collision integrals for the (9, 6, 8) potential function for y = 0.

T* na- n* fta- 2) * n(2 - 2) * na - 3) * n<2 - 3)* n<3- 3) * T* n(l - «* n<2 - 2) * na- 3) * n<2 - 3>* n( 3. 3)*

0.10 4.72922 4.16016 4.73508 3.76851 4.32859 4.37200 15.00 0.64363 0.60241 0.73242 0.57405 0.69989 0.65257

0.15 4.06781 3.54100 4.12413 3.16337 3.77632 3.71290 16.00 0.63571 0.59513 0.72407 0.56709 0.69196 0.64503

0.20 3.61854 3.10241 3.74068 2.71704 3.41735 3.25647 17.00 0.62838 0.58837 0.71633 0.56063 0.68457 0.63803

0.25 3.27320 2.75762 3.45243 2.37194 3.12632 2.91249 18.00 0.62156 0.58205 0.70910 0.55458 0.67767 0.63148

0.30 2.99195 2.47996 3.21091 2.10664 2.87447 2.64396 19.00 0.61519 0.57614 0.70234 0.54892 0.67119 0.62535

0.35 2.75731 2.25572 3.00049 1.90040 2.65106 2.42562 20.00 0.60921 0.57058 0.69597 0.54359 0.66509 0.61957

0.40 2.55892 2.07185 2.81251 1.74054 2.45741 2.24615 22.00 0.59827 0.56037 0.68428 0.53380 0.65386 0.60895

0.45 2.38971 1.92093 2.64398 1.61266 2.29089 2.09567 24.00 0.58846 0.55118 0.67376 0.52499 0.64373 0.59937

0.50 2.24433 1.79618 2.49696 1.51076 2.14567 1.96881 26.00 0.57957 0.54285 0.66420 0.51698 0.63451 0.59067

0.55 2.11958 1.69124 2.36330 1.42684 2.02104 1.85994 28.00 0.57146 0.53523 0.65544 0.50966 0.62606 0.58269

0.60 2.01020 1.60248 2.24711 1.35811 1.91433 1.76628 30.00 0.56401 0.52821 0.64737 0.50292 0.61826 0.57534

0.65 1.91515 1.52755 2.14179 1.30052 1.82054 1.68544 32.00 0.55712 0.52171 0.63988 0.49668 0.61103 0.56853

0.70 1.83015 1.46242 2.04768 1.25154 1.73927 1.61487 34.00 0.55071 0.51567 0.63291 0.49087 0.60429 0.56218

0.75 1.75663 1.40569 1.96465 1.20950 1.66846 1.55247 36.00 0.54473 0.51002 0.62639 0.48545 0.59798 0.55624

0.80 1.69059 1.35705 1.89056 1.17316 1.60629 1.49738 38.00 0.53913 0.50473 0.62027 0.48036 0.59206 0.55067

0.85 1.63049 1.31408 1.82259 1.14164 1.55123 1.44871 40.00 0.53386 0.49975 0.61450 0.47557 0.58648 0.54542

0.90 1.57779 1.27589 1.76152 1.11383 1.50215 1.40541 45.00 0.52192 0.48846 0.60140 0.46473 0.57380 0.53350

0.95 1.53039 1.24174 1.70661 1.08909 1.45842 1.36650 50.00 0.51144 0.47854 0.58984 0.45520 0.56262 0.52300

1.00 1.48705 1.21112 1.65697 1.06697 1.41934 1.33136 55.00 0.50210 0.46971 0.57953 0.44671 0.55265 0.51363

1.10 1.41083 1.15893 1.57064 1.02912 1.35253 1.27073 60.00 0.49371 0.46176 0.57022 0.43908 0.54365 0.50519

1.20 1.34810 1.11603 1.49752 0.99782 1.29750 1.22035 65.00 0.48608 0.45454 0.56176 0.43215 0.53546 0.49752

1.30 1.29473 1.07979 1.43577 0.97154 1.25149 1.17807 70.00 0.47911 0.44794 0.55400 0.42582 0.52797 0.49049

1.40 1.24853 1.04890 1.38326 0.94902 1.21250 1.14208 75.00 0.47270 0.44187 0.54685 0.41999 0.52105 0.48401

1.50 1.20830 1.02224 1.33794 0.92944 1.17910 1.11097 80.00 0.46676 0.43625 0.54022 0.41460 0.51465 0.47801

1.60 1.17328 0.99900 1.29842 0.91223

* 1.15022 1.08387 85.00 0.46124 0.43103 0.53404 0.40959 0.50869 0.47243

1.70 1.14287 0.97865 1.26369 0.89694 1.12498 1.06008 90.00 0.45608 0.42615 0.52827 0.40491 0.50311 0.46721

1.80 1.11570 0.96054 1.23285 0.88323 1.10269 1.03898 95.00 0.45125 0.42157 0.52285 0.40053 0.49788 0.46232

1.90 1.09119 0.94427 1.20542 0.87083 1.08285 1.02014 100.00 0.44670 0.41727 0.51774 0.39640 0.49295 0.45771

2.00 1.06906 0.92955 1.18092 0.85956 1.06508 1.00325 125.00 0.42736 0.39899 0.49596 0.37888 0.47196 0.43808

2.20 1.03083 0.90398 1.13900 0.83971 1.03448 0.97403 150.00 0.41207 0.38455 0.47869 0.36506 0.45533 0.42254

2.40 0.99891 0.88239 1.10431 0.82270 1.00899 0.94964 175.00 0.39951 0.37269 0.46445 0.35372 0.44163 0.40975

2.60 0.97218 0.86386 1.07506 0.80786 0.98741 0.92882 200.00 0.38889 0.36267 0.45238 0.34414 0.43003 0.39893

2.80 0.94902 0.84771 1.05004 0.79473 0.96874 0.91086

3.00 0.92868 0.83345 1.02833 0.78297 0.95239 0.89510

3.20 0.91072 0.82071 1.00928 0.77235 0.93791 0.88113

3.40 0.89472 0.80921 0.99242 0.76266 0.92493 0.86861

3.60 0.88034 0.79875 0.97736 0.75376 0.91321 0.85729

3.80 0.86734 0.78917 0.96380 0.74554 0.90254 0.84699

4.00 0.85552 0.78034 0.95150 0.73791 0.89276 0.83754

4.50 0.83012 0.76093 0.92507 0.72092 0.87140 0 81690

5.00 0.80906 0.74446 0.90328 0.70629 0.85341 0.79955

5.50 0.79113 0.73018 0.88484 0.69346 0.83791 0.78461

6.00 0.77560 0.71761 0.86892 0.68204 0.82430 0.77150

6.50 0.76195 0.70637 0.85493 0.67176 0.81217 0.75983

7.00 0.74980 0.69623 0.84248 0.66242 0.80124 0.74933

7.50 0.73888 0.68699 0.83127 0.65386 0.79129 0.73978

8.00 0.72897 0.67852 0.82109 0.64598 0.78216 0.73104

8.50 0.71990 0.67069 0.81176 0.63867 0.77374 0.72296

9.00 0.71156 0.66342 0.80315 0.63185 0.76591 0.71547

9.50 0.70383 0.65664 0.79517 0.62548 0.75860 0.70849

10.00 0.69665 0.65028 0.78773 0.61950 0.75175 0.70194

11.00 0.68361 0.63867 0.77420 0.60852 0.73921 0.68998

12.00 0.67204 0.62827 0.76216 0.59867 0.72797 0.67926

13.00 0.66165 0.61887 0.75132 0.58973 0.71778 0.66956

14.00 0.65223 0.61029 0.74146 0.58156 0.70846 0.66071 12
Collision integrals for the (9, 6, 8) potential function for y—1.

T* ft"- »• a(i * 2>* n(2- 2) * ft«. 3)* 3>* n«. 3>* T* n(i - »* nu* 2) * n<2 - 2> * ft«. 3>* n(2> 3)* f|(3, 3)*

0.10 4.59710 4.04780 4.61987 3.67550 4.23107 4.26791 15.00 0.64879 0.60793 0.73701 0.57980 0.70485 0.65773

0.15 3.95912 3.45733 4.03056 3.09808 3.69586 3.63525 16.00 0.64094 0.60071 0.72875 0.57289 0.69700 0.65027

0.20 3.53095 3.04016 3.66146 2.67262 3.34928 3.19645 17.00 0.63367 0.59400 0.72110 0.56647 0.68969 0.64333

0.25 3.20323 2.71120 3.38407 2.34323 3.07186 2.86663 18.00 0.62691 0.58773 0.71395 0.56047 0.68285 0.63685

0.30 2.93468 2.44515 3.15219 2.08572 2.82826 2.60638 19.00 0.62059 0.58186 0.70725 0.55484 0.67644 0.63076

0.35 2.70982 2.22647 2.94711 1.88675 2.61476 2.39601 20.00 0.61466 0.57634 0.70096 0.54955 0.67040 0.62504

0.40 2.51931 2.05086 2.76869 1.72852 2.42641 2.21936 22.00 0.60381 0.56620 0.68939 0.53982 0.65927 0.61451

0.45 2.35670 1.90467 2.60686 1.60422 2.26540 2.07468 24.00 0.59407 0.55708 0.67897 0.53106 0.64924 0.60501

0.50 2.21735 1.78338 2.46591 1.50517 2.12617 1.95175 26.00 0.58525 0.54880 0.66951 0.52310 0.64011 0.59638

0.55 2.09621 1.67944 2.33397 1.42249 2.00395 1.84541 28.00 0.57720 0.54122 0.66083 0.51582 0.63173 0.58847

0.60 1.98970 1.59334 2.22201 1.35441 1.89976 1.75375 30.00 0.56980 0.53425 0.65284 0.50911 0.62400 0.58117

0.65 1.89568 1.52151 2.12249 1.29807 1.80875 1.67485 32.00 0.56295 0.52779 0.64543 0.50290 0.61683 0.57440

0.70 1.81586 1.45698 2.02949 1.24985 1.72904 1.60594 34.00 0.55659 0.52178 0.63852 0.49712 0.61015 0.56810

0.75 1.74281 1.40091 1.94780 1.20850 1.65969 1.54502 36.00 0.55065 0.51617 0.63205 0.49172 0.60390 0.56221

0.80 1.67576 1.35251 1.87541 1.17254 1.59867 1.49094 38.00 0.54508 0.51090 0.62598 0.48665 0.59802 0.55667

0.85 1.61852 1.31074 1.80988 1.14133 1.54473 1.44306 40.00 0.53984 0.50594 0.62026 0.48189 0.59248 0.55145

0.90 1.56810 1.27348 1.75026 1.11389 1.49655 1.40049 45.00 0.52798 0.49471 0.60727 0.47108 0.57990 0.53961

0.95 1.52386 1.23977 1.69621 1.08951 1.45356 1.36237 50.00 0.51755 0.48483 0.59581 0.46158 0.56880 0.52918

1.00 1.48133 1.20989 1.64780 1.06769 1.41511 1.32791 55.00 0.50827 0.47603 0.58557 0.45312 0.55889 0.51986

1.10 1.40536 1.15813 1.56311 1.03023 1.34926 1.26821 60.00 0.49991 0.46811 0.57634 0.44551 0.54995 0.51146

1.20 1.34227 1.11579 1.49151 0.99931 1.29509 1.21864 65.00 0.49232 0.46092 0.56793 0.43860 0.54181 0.50383

1.30 1.29084 1.08021 1.43086 0.97330 1.24976 1.17695 70.00 0.48538 0.45434 0.56022 0.43228 0.53436 0.49683

1.40 1.24571 1.04966 1.37910 0.95104 1.21129 1.14146 75.00 0.47899 0.44828 0.55312 0.42646 0.52749 0.49038

1.50 1.20671 1.02334 1.33452 0.93167 1.17832 1.11081 80.00 0.47307 0.44268 0.54653 0.42108 0.52111 0.48441

1.60 1.17195 1.00038 1.29568 0.91464 1.14979 1.08407 85.00 0.46757 0.43746 0.54039 0.41607 0.51518 0.47885

1.70 1.14173 0.98025 1.26155 0.89953 1.12487 1.06059 90.00 0.46243 0.43259 0.53465 0.41140 0.50963 0.47365

1.80 1.11495 0.96236 1.23120 0.88597 1.10287 1.03977 95.00 0.45761 0.42803 0.52926 0.40702 0.50443 0.46877

1.90 1.09106 0.94628 1.20413 0.87370 1.08326 1.02115 100.00 0.45308 0.42374 0.52418 0.40290 0.49952 0.46418

2.00 1.06938 0.93173 1.17992 0.86255 1.06571 1.00446 125.00 0.43378 0.40547 0.50251 0.38538 0.47861 0.44461

2.20 1.03140 0.90645 1.13856 0.84291 1.03548 0.97561 150.00 0.41852 0.39104 0.48530 0.37155 0.46203 0.42910

2.40 1.00006 0.88513 1.10437 0.82608 1.01030 0.95150 175.00 0.40597 0.37917 0.47111 0.36019 0.44836 0.41633

2.60 0.97367 0.86678 1.07548 0.81140 0.98897 0.93093 200.00 0.39535 0.36915 0.45908 0.35059 0.43678 0.40551

2.80 0.95080 0.85081 1.05079 0.79841 0.97053 0.91319

3.00 0.93066 0.83670 1.02936 0.78678 0.95437 0.89761

3.20 0.91295 0.82410 1.01055 0.77626 0.94005 0.88380

3.40 0.89725 0.81273 0.99389 0.76667 0.92724 0.87143

3.60 0.88306 0.80238 0.97902 0.75787 0.91566 0.86024

3.80 0.87015 0.79290 0.96562 0.74973 0.90511 0.85005

4.00 0.85849 0.78417 0.95347 0.74218 0.89545 0.84071

4.50 0.83332 0.76496 0.92736 0.72537 0.87434 0.82031

5.00 0.81252 0.74866 0.90584 0.71088 0.85658 0.80316

5.50 0.79481 0.73453 0.88762 0.69817 0.84126 0.78838

6.00 0.77946 0.72208 0.87189 0.68686 0.82781 0.77542

6.50 0.76594 0.71095 0.85808 0.67668 0.81583 0.76388

7.00 0.75392 0.70091 0.84577 0.66743 0.80503 0.75350

7.50 0.7*312 0.69177 0.83470 0.65895 0.79520 0.74405

8.00 0.73331 0.68337 0.82464 0.65114 0.78618 0.73540

8.50 0.72433 0.67562 0.81.542 0.64389 0.77786 0.72741

9.00 0.71607 0.66841 0.80692 0.63714 0.77012 0.72000

9.50 0.70842 0.66169 0.79903 0.63082 0.76290 0.71309

10.00 0.70130 0.65540 0.79168 0.62489 0.75612 0.70661

11.00 0.68840 0.64389 i 0.77831 0.61401 0.74373 0.69477

12.00 0.67694 0.63358 >0.76641 0.60423 0.73261 0.68417

13.00 0.66665 0.62425 0.75569 0.59536 0.72254 0.67456

14.00 0.65731 0.61575 0.74594 0.58726 0.71333 0.66580

13

4 98-740 0 - 74 -2
Collision integrals for the (9, 6, 8) potential function for y = 2. T* au. D* n( i* J) * na- 3>* 3>* n(3- 3) * T* n(i - «• 2>* na* 3) * n«- 3)* »)*

0.10 4.46567 3.94241 4.50502 3.58609 4.12875 4.15731 15.00 0.65339 0.61286 0.74112 0.58492 0.70929 0.66235

0.15 3.85894 3.37966 3.93744 3.03656 3.61385 3.55524 16.00 0.64561 0.60569 0. 732% 0.57806 0.70151 0.65495

0.20 3.45077 2.98126 3.58103 2.63056 3.28098 3.13596 17.00 0.63839 0.59902 0.72537 0.57167 0.69427 0.64807

0.25 3.13655 2.66633 3.31446 2.31532 3.01728 2.82087 18.00 0.63168 0.59280 0.71829 0.56571 0.68750 0.64164

0.30 2.87927 2.41061 3.09219 2.06639 2.78353 2.56881 19.00 0.62541 0. 586% 0.71166 0.56011 0.68114 0.63560

0.35 2.66375 2.20147 2.89716 1.87159 2.57747 2.36455 20.00 0.61952 0.58148 0.70542 0.55485 0.67515 0.62992

0.40 2.48111 2.03146 2.72608 1.71867 2.39808 2.19521 22.00 0.60875 0.57140 0. 693% 0.54517 0.66412 0.61946

0.45 2.32399 1.88792 2.56989 1.59610 2.24048 2.05387 24.00 0.59908 0.56233 0.68364 0.53645 0.65417 0.61004

0.50 2.18916 1.77056 2.43374 1.49943 2.10677 1.93464 26.00 0.59031 0.55409 0.67426 0.52853 0.64511 0.60146

0.55 2.07087 1.66900 2.30694 1.41853 1.98775 1.83160 28.00 0.58231 0.54656 0.66566 0.52128 0.63680 0.59360

0.60 1.97049 1.58427 2.19709 1.35100 1.88565 1.74175 30.00 0. 574% 0. 53%1 0.65773 0.51460 0.62913 0.58636

0.65 1.87803 1.51416 2.10169 1.29549 1.79724 1.66446 32.00 0.56815 0.53319 0.65038 0.50841 0.62201 0. 57%3

0.70 1.79981 1.45171 2.01180 1.24819 1.71922 1.59721 34.00 0.56182 0.52720 0.64352 0.50265 0.61538 0.57337

0.75 1.72977 1.39694 1.93219 1.20730 1.65108 1.53758 36.00 0.55591 0.52161 0.63711 0.49727 0.60917 0.56751

0.80 1.66514 1.34856 1.86092 1.17192 1.59138 1.48470 38.00 0.55038 0.51637 0.63109 0.49222 0.60333 0.56200

0.85 1.60855 1.30734 1.79746 1.14096 1.53843 1.43763 40.00 0.54516 0.51143 0.62541 0.48747 0.59783 0.55682

0.90 1.55782 1.27085 1.73917 1.11385 1.49120 1.39574 45.00 0.53336 0.50024 0.61251 0.47670 0.58532 0.54504

0.95 1.51425 1.23794 1.68628 1.08978 1.44890 1.35828 50.00 0.52298 0.49040 0.60112 0.46722 0.57429 0.53465

1.00 1.47424 1.20828 1.63857 1.06822 1.41100 1.32447 55.00 0.51373 0.48162 0.59095 0.45878 0.56444 0.52538

1.10 1.40069 1.15734 1.55576 1.03118 1.34611 1.26573 60.00 0.50540 0.47372 0.58177 0.45118 0.55554 0.51702

1.20 1.33764 1.11550 1.48580 1.00059 1.29274 1.21692 65.00 0.49784 0.46655 0.57342 0.44428 0.54745 0.50941

1.30 1.28682 1.08039 1.42605 0.97483 1.24803 1.17579 70.00 0.49093 0.45998 0.56575 0.43797 0.54003 0.50244

1.40 1.24306 1.05032 1.37512 0.95280 1.21009 1.14077 75.00 0.48455 0.45394 0.55868 0.43216 0.53319 0.49602

1.50 1.20440 1.02423 1.33117 0.93365 1.17753 1.11056 80.00 0.47866 0.44834 0.55213 0.42678 0.52684 0.49006

1.60 1.17062 1.00157 1.29300 0.91679 1.14933 1.08417 85.00 0.47317 0.44314 0.54602 0.42177 0.52093 0.48452

1.70 1.14059 0.98159 1.25936 0.90182 1.12469 1 . 060% 90.00 0.46804 0.43827 0.54030 0.41710 0.51541 0.47933

1.80 1.11421 0.96392 1.22954 0.88841 1.10296 1.04040 95.00 0.46323 0.43371 0.53494 0.41272 0.51022 0.47447

1.90 1.09062 0.94805 1.20285 0.87627 1.08360 1.02203 100.00 0.45871 0.42942 0.52988 0.40860 0.50533 0.46989

2.00 1.06936 0.93367 1.17896 0.86521 1.06622 1.00550 125.00 0.43944 0.41116 0.50829 0.39107 0.48448 0.45035

2.20 1.03201 0.90864 1.13806 0.84577 1.03635 0.97699 150.00 0.42420 0. 3%73 0.49114 0.37723 0.46793 0.43486

2.40 1.00100 0.88756 1.10432 0.82910 1.01145 0.95314 175.00 0.41165 0.38485 0.47699 0.36585 0.45429 0.42210

2.60 0.97481 0.86939 1.07580 0.81458 0.99035 0.93281 200.00 0.40103 0.37481 0.46498 0.35623 0.44272 0.41128

2.80 0.95233 0.85358 1.05142 0.80170 0.97211 0.91524

3.00 0.93250 0.83960 1.03025 0.79019 0.95614 0.89985

3.20 0.91494 0.82712 1.01166 0.77977 0.94198 0.88618

3.40 0.89939 0.81587 0.99519 0.77027 0.92930 0.87394

3.60 0.88542 0.80563 0.98048 0.76155 0.91785 0.86287

3.80 0.87268 0.79624 0.96724 0.75349 0.90742 0.85279

4.00 0.86111 0.78759 0.95522 0.74601 0.89786 0.84355

4.50 0.83617 0.76856 0.92941 0.72935 0.87699 0.82336

5.00 0.81560 0.75242 0.90813 0.71499 0.85942 0.80638

5.50 0.79809 0.73842 0.89012 0.70240 0.84428 0.79176

6.00 0.78290 0.72608 0.87456 0.69119 0.83098 0.77893

6.50 0.76952 0.71506 0.86090 0.68109 0.81913 0.76751

7.00 0.75760 0.70511 0.84874 0.67191 0.80844 0.75723

7.50 0.74690 0.69604 0.83778 0.66351 0.79872 0.74788

8.00 0.73719 0.68771 0.82783 0.65576 0.78980 0.73931

8.50 0.72829 0.68003 0.81872 0.64857 0.78156 0.73140

9.00 0.72011 0.67288 0.81031 0.64187 0.77390 0.72406

9.50 0.71252 0.66622 0.80251 0.63560 0.76676 0.71721

10.00 0.70547 0.65997 0.79523 0.62971 0.76006 0.71080

11.00 0.69267 0.64855 0.78201 0.61890 0.74779 0.69907

12.00 0.68132 0.63832 0.77023 0.60920 0.73678 0.68856

13.00 0.67111 0.62907 0.75962 0.60039 0.72681 0.67904

14.00 0.66186 0.62062 0.74997 0.59233 0.71768 0.67035

14
Collision integrals for the (9, 6, 8) potential function for y = 3. T* ft<>. ft<l- n< 2 - 2>* n«* 3)* 3) * Q(3. 3)* T* n(i * »* n<2* 2)* n(i - 3)* 3>* n<3- 3)*

0.10 4.33425 3.83934 4.38609 3.50034 4.02416 4.04290 15.00 0.65756 0.61731 0.74486 0.58954 0.71331 0.66652

0.15 3.75876 3.30233 3.83999 2.97464 3.52848 3.47020 16.00 0.64982 0.61018 0.73676 0.58271 0.70560 0.65918

0.20 3.36944 2.92207 3.49786 2.58861 3.21184 3.07303 17.00 0.64266 0.60355 0.72924 0.57636 0.69841 0.65235

0.25 3.07150 2.62214 3.24423 2.28401 2.95848 2.77008 18.00 0.63600 0.59736 0.72223 0.57043 0.69170 0.64596

0.30 2.82468 2.37746 3.03309 2.04681 2.73927 2.53137 19.00 0.62976 0.59156 0.71565 0.56486 0.68539 0.63996

0.35 2.61870 2.17731 2.84897 1.85674 2.54101 2.33316 20.00 0.62391 0.58611 0.70947 0.55962 0.67945 0.63432

0.40 2.44342 2.01178 2.68374 1.70917 2.37069 2.17239 22.00 0.61320 0.57608 0.69810 0.54998 0.66850 0.62393

0.45 2.29253 1.87110 2.53287 1.58857 2.21662 2.03380 24.00 0.60359 0.56705 0.68786 0.54130 0.65863 0.61457

0.50 2.16198 1.75784 2.40156 1.49346 2.08757 1.91793 26.00 0.59488 0.55886 0.67855 0.53341 0.64963 0.60605

0.55 2.04775 1.65946 2.28155 1.41420 1.97172 1.81754 28.00 0.58692 0.55135 0.67002 0.52618 0.64138 0.59823

0.60 1.95099 1.57595 2.17328 1.34799 1.87215 1.73018 30.00 0.57960 0.54444 0.66215 0.51953 0.63376 0.59102

0.65 1.86162 1.50648 2.08052 1.29294 1.78599 1.65443 32.00 0.57283 0.53804 0.65485 0.51336 0.62668 0.58434

0.70 1.78408 1.44655 1.99509 1.24644 1.70979 1.58862 34.00 0.56653 0.53208 0.64804 0.50762 0.62009 0.57811

0.75 1.71670 1.39248 1.91659 1.20612 1.64288 1.53040 36.00 0.56065 0.52651 0.64167 0.50225 0.61392 0.57228

0.80 1.65499 1.34515 1.84709 1.17123 1.58432 1.47866 38.00 0.55514 0.52128 0.63569 0.49722 0.60811 0.56680

0.85 1.59773 1.30400 1.78505 1.14058 1.53231 1.43237 40.00 0.54995 0.51636 0.63005 0.49248 0.60264 0.56164

0.90 1.54846 1.26816 1.72843 1.11373 1.48601 1.39115 45.00 0.53819 0.50520 0.61723 0.48173 0.59021 0.54991

0.95 1.50477 1.23601 1.67679 1.08992 1.44440 1.35426 50.00 0.52785 0.49539 0.60591 0.47227 0.57923 0.53957

1.00 1.46657 1.20672 1.62982 1.06862 1.40706 1.32105 55.00 0.51863 0.48663 0.59580 0.46384 0.56943 0.53033

1.10 1.39515 1.15661 1.54874 1.03201 1.34311 1.26334 60.00 0.51033 0.47875 0.58667 0.45625 0.56057 0.52200

1.20 1.33376 1.11512 1.48020 1.00172 1.29046 1.21521 65.00 0.50280 0.47159 0.57835 0.44936 0.55251 0.51442

1.30 1.28289 1.08044 1.42140 0.97618 1.24635 1.17462 70.00 0.49590 0.46504 0.57072 0.44305 0.54512 0.50747

1.40 1.24020 1.05081 1.37128 0.95437 1.20891 1.14004 75.00 0.48954 0.45900 0.56369 0.43724 0.53830 0.50106

1.50 1.20220 1.02503 1.32799 0.93541 1.17674 1.11023 80.00 0.48366 0.45341 0.55716 0.43187 0.53198 0.49512

1.60 1.16917 1.00259 1.29037 0.91872 1.14886 1.08418 85.00 0.47818 0.44821 0.55108 0.42686 0.52609 0.48959

1.70 1.13946 0.98280 1.25723 0.90388 1.12448 1.06124 90.00 0.47306 0.44335 0.54539 0.42219 0.52058 0.48442

1.80 1.11339 0.96528 1.22788 0.89059 1.10298 1.04092 95.00 0.46826 0.43879 0.54004 0.41781 0.51541 0.47956

1.90 1.09008 0.94959 1.20159 0.87857 1.08385 1.02276 100.00 0.46375 0.43450 0.53500 0.41369 0.51054 0.47499

2.00 1.06916 0.93539 1.17799 0.86761 1.06667 1.00642 125.00 0.44450 0.41624 0.51348 0.39615 0.48973 0.45548

2.20 1.03255 0.91060 1.13754 0.84835 1.03711 0.97821 150.00 0.42926 0.40180 0.49637 0.38228 0.47321 0.44000

2.40 1.00177 0.88972 1.10420 0.83183 1.01247 0.95461 175.00 0.41672 0.38991 0.48224 0.37087 0.45958 0.42724

2.60 0.97578 0.87175 1.07606 0.81744 0.99159 0.93448 200.00 0.40609 0.37985 0.47025 0.36123 0.44802 0.41643

2.80 0.95363 0.85606 1.05194 0.80468 0.97353 0.91710

3.00 0.93410 0.84222 1.03102 0.79327 0.95773 0.90186

3.20 0.91673 0.82985 1.01265 0.78294 0.94371 0.88833

3.40 0.90130 0.81870 0.99635 0.77353 0.93117 0.87621

3.60 0.88750 0.80856 0.98179 0.76488 0.91983 0.86525

3.80 0.87495 0.79926 0.96869 0.75689 0.90951 0.85527

4.00 0.86344 0.79069 0.95680 0.74947 0.90005 0.84611

4.50 0.83875 0.77183 0.93126 0.73295 0.87940 0.82613

5.00 0.81837 0.75582 0.91020 0.71872 0.86201 0.80931

5.50 0.80104 0.74194 0.89238 0.70622 0.84701 0.79482

6.00 0.78600 0.72970 0.87699 0.69510 0.83385 0.78211

6.50 0.77276 0.71877 0.86347 0.68508 0.82212 0.77080

7.00 0.76094 0.70890 0.85143 0.67597 0.81154 0.76061

7.50 0.75033 0.69990 0.84058 0.66763 0.80191 0.75134

8.00 0.74070 0.69164 0.83073 0.65993 0.79308 0.74285

8.50 0.73188 0.68401 0.82170 0.65279 0.78492 0.73501

9.00 0.72375 0.67692 0.81338 0.64614 0.77734 0.72773

9.50 0.71623 0.67031 0.80565 0.63991 0.77026 0.72095

10.00 0.70923 0.66411 0.79845 0.63406 0.76362 0.71458

11.00 0.69654 0.65277 0.78536 0.62332 0.75147 0.70295

12.00 0.68527 0.64261 0.77369 0.61368 0.74056 0.69252

13.00 0.67515 0.63341 0.76319 0.60492 0.73067 0.68308

14.00 0.66596 0.62502 0.75363 0.59691 0.72163 0.67446

15
Collision integrals for the (9, 6, 8) potential function for y = 4.

T* ft<i. i). nu. *>* n(2- *>* n(i - 3) * n<2> 3) * 3- 3>* T* *>* na. 2'„ n<2 - 2)* n°- s) * 3)* n<3 - 3)*

0.10 4.20479 3.73551 4.27279 3.41425 3.927% 3.94048 15.00 0.66135 0.62136 0.74827 0.59374 0.71698 0.67033

0.15 3.65854 3.22605 3.75014 2.91593 3.45222 3.39549 16.00 0.65367 0.61427 0.74024 0.58695 0.70933 0.66303

0.20 3.29052 2.86570 3.42276 2.54824 3.14835 3.01655 17.00 0.64655 0.60768 0.73278 0.58063 0.70220 0.65624

0.25 3.00517 2.57951 3.17970 2.25713 2.90711 2.72663 18.00 0.63992 0.60152 0.72582 0.57472 0.69553 0.64990

0.30 2.77232 2.34426 2.97679 2.02620 2.69561 2.49528 19.00 0.63373 0.59575 0.71930 0.56917 0.68927 0.64394

0.35 2.57504 2.15265 2.80191 1.84241 2.50646 2.30470 20.00 0.62791 0.59032 0.71316 0.56395 0.68337 0.63833

0.40 2.40690 1.99107 2.64203 1.69759 2.34632 2.14695 22.00 0.61726 0.58034 0.70188 0.55435 0.67250 0.62801

0.45 2.26085 1.85643 2.49924 1.58170 2.19437 2.01502 24.00 0.60769 0.57135 0.69172 0.54570 0.66269 0.61869

0.50 2.13609 1.74504 2.37090 1.48726 2.06826 1.90137 26.00 0.59903 0.56318 0.68247 0.53784 0.65375 0.61022

0.55 2.02638 1.65035 2.25728 1.41023 1.95684 1.80445 28.00 0.59111 0.55571 0.67400 0.53063 0.64555 0.60244

0.60 1.93051 1.56851 2.15143 1.34531 1.85947 1.71937 30.00 0.58382 0.54882 0.66618 0.52400 0.63797 0.59527

0.65 1.84582 1.49915 2.05994 1.29042 1.77497 1.64478 32.00 0.57708 0.54244 0.65892 0.51785 0.63094 0.58862

0.70 1.76892 1.44079 1.97833 1.24455 1.70072 1.58041 34.00 0.57081 0.53650 0.65216 0.51212 0.62438 0.58242

0.75 1.70342 1.38833 1.90208 1.20499 1.63512 1.52345 36.00 0.56496 0.53095 0.64583 0.50677 0.61824 0.57661

0.80 1.64409 1.34220 1.83428 1.17044 1.57740 1.47264 38.00 0.55946 0.52574 0.63988 0.50174 0.61247 0.57116

0.85 1.58882 1.30097 1.77314 1.14021 1.52642 1.42732 40.00 0.55429 0.52083 0.63428 0.49701 0.60703 0.56602

0.90 1.54022 1.26533 1.71803 1.11356 1.48100 1.38679 45.00 0.54258 0.50971 0.62153 0.48629 0.59465 0.55434

0.95 1.49636 1.23384 1.66763 1.08997 1.44014 1.35047 50.00 0.53227 0.49991 0.61027 0.47684 0.58373 0.54403

1.00 1.45822 1.20527 1.62162 1.06891 1.40331 1.31773 55.00 0.52308 0.49117 0.60021 0.46842 0.573% 0.53483

1.10 1.39013 1.15590 1.54196 1.03274 1.34023 1.26097 60.00 0.51481 0.48330 0.59112 0.46084 0.56514 0.52652

1.20 1.33045 1.11470 1.47477 1.00269 1.28823 1.21351 65.00 0.50729 0.47615 0.58284 0.45395 0.55711 0.51896

1.30 1.27914 1.08037 1.41707 0.97740 1.24473 1.17347 70.00 0.50040 0.46%1 0.57524 0.44765 0.54975 0.51203

1.40 1.23699 1.05115 1.36754 0.95577 1.20777 1.13932 75.00 0.49406 0.46358 0.56824 0.44184 0.54295 0.50564

1.50 1.20017 1.02575 1.32494 0.93699 1.17595 1.10985 80.00 0.48819 0.45799 0.56173 0.43646 0.53665 0.49971

1.60 1.16742 1.00345 1.28777 0.92046 1.14836 1.08412 85.00 0.48272 0.45279 0.55567 0.43146 0.53077 0.49419

1.70 1.13841 0.98387 1.25519 0.90576 1.12425 1.06146 90.00 0.47761 0.44794 0.55000 0.42679 0.52528 0.48902

1.80 1.11251 0.96649 1.22627 0.89257 1.10298 1.04135 95.00 0.47282 0.44338 0.54467 0.42240 0.52012 0.48418

1.90 1.08948 0.95095 1.20035 0.88065 1.08404 1.02339 100.00 0.46830 0.43909 0.53%5 0.41828 0.51525 0.47961

2.00 1.06881 0.93691 1.17702 0.86980 1.06705 1.00722 125.00 0.44907 0.42083 0.51818 0.40072 0.49449 0.46012

2.20 1.03293 0.91239 1.13701 0.85070 1.03778 0.97929 150.00 0.43384 0.40637 0.50111 0.38683 0.47799 0.44465

2.40 1.00238 0.89167 1.10404 0.83432 1.01338 0.95593 175.00 0.42129 0.39447 0.48700 0.37540 0.46436 0.43188

2.60 0.97669 0.87387 1.07625 0.82005 0.99268 0.93599 200.00 0.41065 0.38439 0.47502 0.36573 0.45281 0.42106

2.80 0.95470 0.85833 1.05239 0.80740 0.97484 0.91878

3.00 0.93548 0.84460 1.03169 0.79607 0.95919 0.90368

3.20 0.91836 0.83234 1.01351 0.78584 0.94529 0.89028

3.40 0.90305 0.82128 0.99739 0.77650 0.93288 0.87827

3.60 0.88934 0.81123 0.98297 0.76792 0.92165 0.86742

3.80 0.87695 0.80200 0.97001 0.76000 0.91141 0.85752

4.00 0.86559 0.79350 0.95823 0.75264 0.90204 0.84845

4.50 0.84111 0.77480 0.93294 0.73624 0.88160 0.82865

5.00 0.82089 0.75893 0.91208 0.72211 0.86437 0.81197

5.50 0.80372 0.74516 0.89444 0.70971 0.84951 0.79761

6.00 0.78882 0.73301 0.87921 0.69867 0.83647 0.78501

6.50 0.77570 0.72216 0.86581 0.68872 0.82485 0.77380

7.00 0.76399 0.71236 0.85388 0.67967 0.81437 0.76369

7.50 0.75345 0.70343 0.84314 0.67138 0.80483 0.75450

8.00 0.74390 0.69523 0.83338 0.66374 0.79608 0.74608

8.50 0.73515 0.68765 0.82444 0.65665 0.78799 0.73831

9.00 0.72708 0.68061 0.81619 0.65003 0.78048 0.73109

9.50 0.71962 0.67404 0.80854 0.64384 0.77346 0.72435

10.00 0.71266 0.66788 0.80140 0.63803 0.76688 0.71804

11.00 0.70007 0.65661 0.78842 0.62735 0.75483 0.70650

12.00 0.68888 0.64651 0.77686 0.61776 0.74402 0.69615

13.00 0.67882 0.63737 0.76644 0.60905 0.73421 0.68677

14.00 0.66970 0.62903 0.75697 0.60108 0.72524 0.67821

16
Collision integrals for the (9, 6, 8) potential function for y — 5.

T* n<i. d* ft<»- 2), 2) * ft<l. 3)* ft<2. 3)* ft(3» 3)* T* ft11 - »>* ft‘»- 2)* ft<2. 2)* ft<1.3>* ft<2. 3)* ft(3. 3)*

0.10 4.07944 3.63473 4.16273 3.32654 3.83000 3.83478 15.00 0.66484 0.62508 0.75141 0.59760 0.72036 0.67382

0.15 3.56072 3.15138 3.66219 2.85664 3.37548 3.32023 16.00 0.65720 0.61802 0.74344 0.59083 0.71276 0.66657

0.20 3.21123 2.80881 3.34732 2.50727 3.08497 2.95940 17.00 0.65012 0.61146 0.73604 0.58454 0.70568 0.65982

0.25 2.94113 2.53656 3.11540 2.22864 2.85467 2.68185 18.00 0.64353 0.60533 0.72913 0.57865 0.69906 0.65351

0.30 2.71922 2.31224 2.92267 2.00525 2.65256 2.45851 19.00 0.63737 0.59959 0.72265 0.57313 0.69284 0.64759

0.35 2.53137 2.12611 2.75340 1.82921 2.47391 2.27717 20.00 0.63158 0.59418 0.71656 0.56792 0.68697 0.64201

0.40 2.37011 1.97006 2.60090 1.68740 2.31769 2.12374 22.00 0.62098 0.58424 0.70535 0.55836 0.67617 0.63174

0.45 2.23073 1.84231 2.46623 1.57394 2.17207 1.99575 24.00 0.61146 0.57529 0.69526 0.54973 0.66642 0.62247

0.50 2.10949 1.73206 2.34092 1.48133 2.04920 1.88527 26.00 0.60283 0.56715 0.68607 0.54189 0.65753 0.61404

0.55 2.00379 1.64107 2.23285 1.40625 1.94238 1.79152 28.00 0.59495 0.55970 0.67765 0.53471 0.64937 0.60630

0.60 1.90978 1.56005 2.12948 1.34215 1.84670 1.70839 30.00 0.58769 0.55284 0.66988 0.52809 0.64184 0.59916

0.65 1.82968 1.49216 2.03971 1.28813 1.76422 1.63552 32.00 0.58098 0.54648 0.66267 0.52195 0.63485 0.59254

0.70 1.75499 1.43492 1.96156 1.24266 1.69186 1.57224 34.00 0.57473 0.54056 0.65594 0.51624 0.62832 0.58636

0.75 1.68996 1.38426 1.88828 1.20378 1.62767 1.51669 36.00 0.56890 0.53502 0.64965 0.51090 0.62221 0.58058

0.80 1.63291 1.33854 1.82119 1.16963 1.57081 1.46687 38.00 0.56343 0.52982 0.64373 0.50588 0.61647 0.57515

0.85 1.58025 1.29820 1.76150 1.13978 1.52074 1.42244 40.00 0.55828 0.52493 0.63815 0.50116 0.61105 0.57003

0.90 1.53095 1.26269 1.70786 1.11338 1.47607 1.38252 45.00 0.54660 0.51382 0.62547 0.49045 0.59873 0.55839

0.95 1.48845 1.23158 1.65869 1.09000 1.43600 1.34674 50.00 0.53632 0.50404 0.61426 0.48102 0.58784 0.54811

1.00 1.45020 1.20367 1.61372 1.06912 1.39976 1.31450 55.00 0.52715 0.49532 0.60424 0.47261 0.57811 0.53893

1.10 1.38495 1.15474 1.53498 1.03333 1.33744 1.25865 60.00 0.51890 0.48746 0.59519 0.46503 0.56932 0.53065

1.20 1.32621 1.11428 1.46935 1.00359 1.28610 1.21188 65.00 0.51139 0.48032 0.58695 0.45814 0.56132 0.52311

1.30 1.27581 1.08028 1.41290 0.97851 1.24316 1.17234 70.00 0.50452 0.47378 0.57938 0.45184 0.55397 0.51619

1.40 1.23378 1.05136 1.36400 0.95704 1.20665 1.13857 75.00 0.49819 0.46776 0.57240 0.44603 0.54720 0.50981

1.50 1.19796 1.02632 1.32198 0.93842 1.17520 1.10945 80.00 0.49233 0.46217 0.56592 0.44066 0.54091 0.50390

1.60 1.16564 1.00426 1.28531 0.92204 1.14789 1.08403 85.00 0.48687 0.45698 0.55987 0.43565 0.53505 0.49838

1.70 1.13727 0.98482 1.25314 0.90746 1.12401 1.06162 90.00 0.48176 0.45212 0.55422 0.43098 0.52957 0.49323

1.80 1.11167 0.96759 1.22462 0.89438 1.10294 1.04172 95.00 0.47697 0.44757 0.54890 0.42659 0.52442 0.48839

1.90 1.08887 0.95218 1.19913 0.88256 1.08419 1.02394 100.00 0.47247 0.44328 0.54389 0.42246 0.51956 0.48382

2.00 1.06840 0.93827 1.17611 0.87180 1.06738 1.00794 125.00 0.45325 0.42501 0.52248 0.40488 0.49883 0.46435

2.20 1.03307 0.91400 1.13650 0.85285 1.03838 0.98027 150.00 0.43801 0.41053 0.50543 0.39097 0.48234 0.44888

2.40 1.00299 0.89346 1.10384 0.83660 1.01421 0.95713 175.00 0.42545 0.39861 0.49134 0.37952 0.46873 0.43611

2.60 0.97751 0.87582 1.07637 0.82245 0.99369 0.93738 200.00 0.41481 0.38852 0.47937 0.36983 0.45717 0.42529

2.80 0.95565 0.86040 1.05278 0.80989 0.97600 0.92032

3.00 0.93669 0.84679 1.03229 0.79865 0.96051 0.90535

3.20 0.91980 0.83462 1.01429 0.78849 0.94675 0.89207

3.40 0.90464 0.82365 0.99834 0.77923 0.93443 0.88017

3.60 0.89103 0.81367 0.98405 0.77071 0.92332 0.86940

3.80 0.87875 0.80453 0.97120 0.76285 0.91317 0.85960

4.00 0.86755 0.79609 0.95954 0.75554 0.90388 0.85060

4.50 0.84327 0.77754 0.93448 0.73926 0.88362 0.83096

5.00 0.82319 0.76178 0.91382 0.72524 0.86654 0.81442

5.50 0.80618 0.74811 0.89633 0.71292 0.85182 0.80018

6.00 0.79141 0.73605 0.88124 0.70195 0.83889 0.78768

6.50 0.77840 0.72527 0.86797 0.69206 0.82737 0.77655

7.00 0.76678 0.71554 0.85614 0.68307 0.81698 0.76653

7.50 0.75632 0.70667 0.84549 0.67484 0.80752 0.75741

8.00 0.74683 0.69852 0.83582 0.66724 0.79884 0.74905

8.50 0.73815 0.69099 0.82695 0.66018 0.79082 0.74133

9.00 0.73014 0.68400 0.81878 0.65361 0.78337 0.73417

9.50 0.72272 0.67746 0.81119 0.64745 0.77641 0.72748

10.00 0.71582 0.67134 0.80411 0.64167 0.76988 0.72121

11.00 0.70331 0.66014 0.79124 0.63105 0.75793 0.70975

12.00 0.69219 0.65010 0.77977 0.62150 0.74720 0.69947

13.00 0.68220 0.64101 0.76944 0.61283 0.73746 0.69016

14.00 0.67313 0.63271 0.76004 0.60490 0.72856 0.68165

17
Collision integrals for the {10, 6, 8) potential function for y = 0. T* ft«- «* ft<l- 2)* n<2- 2>* Q(2. 3)* n(3- 3) * T* n(i - »* n(i - 2) * 2>* n°- 3)* ft<2. 3)* n<3* 3)*

0.10 4.42600 3.90496 4.46866 3.54884 4.09031 4.11293 15.00 0.66230 0.62261 0.74844 0.59527 0.71733 0.67122

0.15 3.82221 3.34377 3.89908 3.00436 3.57589 3.51593 16.00 0.65467 0.61559 0.74046 0.58856 0.70973 0.66399

0.20 3.41573 2.95085 3.54398 2.60586 3.24563 3.10342 17.00 0.64761 0.60907 0.73305 0.58232 0.70266 0.65726

0.25 3.10609 2.64167 3.27982 2.29632 2.98521 2.79326 18.00 0.64105 0.60298 0.72613 0.57648 0.69605 0.65098

0.30 2.85207 2.39121 3.06110 2.05313 2.75694 2.54657 19.00 0.63490 0.59727 0.71965 0.57101 0.68984 0.64508

0.35 2.64000 2.18646 2.86999 1.86190 2.55467 2.34575 20.00 0.62914 0.59191 0.71356 0.56585 0.68399 0.63953

0.40 2.46029 2.01874 2.70099 1.71171 2.37945 2.18027 22.00 0.61860 0.58205 0.70237 0.55638 0.67323 0.62931

0.45 2.30645 1.87671 2.54676 1.59078 2.22368 2.04038 24.00 0.60913 0.57317 0.69229 0.54785 0.66352 0.62010

0.50 2.17353 1.76212 2.41320 1.49548 2.09269 1.92328 26.00 0.60056 0.56512 0.68313 0.54010 0.65467 0.61173

0.55 2.05694 1.66232 2.28969 1.41571 1.97556 1.82185 28.00 0.59273 0.55774 0.67473 0.53301 0.64656 0.60405

0.60 1.95882 1.57887 2.18086 1.34930 1.87512 1.73353 30.00 0.58553 0.55095 0.66699 0.52647 0.63907 0.59696

0.65 1.86795 1.50953 2.08713 1.29445 1.78821 1.65736 32.00 0.57887 0.54466 0.65981 0.52041 0.63213 0.59040

0.70 1.79100 1.44851 1.99960 1.24787 1.71150 1.59120 34.00 0.57268 0.53880 0.65312 0.51478 0.62565 0.58428

0.75 1.72191 1.39455 1.92101 1.20751 1.64432 1.53255 36.00 0.56690 0.53333 0.64686 0.50951 0.61959 0.57855

0.80 1.65890 1.34678 1.85061 1.17263 1.58552 1.48052 38.00 0.56148 0.52820 0.64098 0.50457 0.61389 0.57317

0.85 1.60205 1.30596 1.78813 1.14207 1.53335 1.43411 40.00 0.55638 0.52337 0.63544 0.49991 0.60852 0.56810

0.90 1.55248 1.27003 1.73089 1.11531 1.48686 1.39279 45.00 0.54482 0.51241 0.62285 0.48936 0.59631 0.55658

0.95 1.50908 1.23770 1.67893 1.09155 1.44514 1.35585 50.00 0.53466 0.50277 0.61173 0.48008 0.58554 0.54643

1.00 1.47023 1.20836 1.63181 1.07030 1.40776 1.32254 55.00 0.52561 0.49418 0.60180 0.47180 0.57591 0.53737

1.10 1.39780 1.15823 1.55030 1.03377 1.34377 1.26469 60.00 0.51746 0.48644 0.59284 0.46436 0.56723 0.52919

1.20 1.33594 1.11689 1.48144 1.00360 1.29112 1.21657 65.00 0.51006 0.47941 0.58468 0.45759 0.55932 0.52175

1.30 1.28553 1.08226 1.42247 0.97816 1.24702 1.17599 70.00 0.50328 0.47298 0.57719 0.45140 0.55207 0.51493

1.40 1.24259 1.05265 1.37228 0.95645 1.20960 1.14145 75.00 0.49704 0.46705 0.57029 0.44570 0.54538 0.50864

1.50 1.20436 1.02690 1.32893 0.93757 1.17748 1.11167 80.00 0.49126 0.46157 0.56388 0.44042 0.53918 0.50281

1.60 1.17119 1.00458 1.29131 0.92096 1.14966 1.08565 85.00 0.48589 0.45646 0.55792 0.43551 0.53340 0.49738

1.70 1.14156 0.98484 1.25813 0.90620 1.12534 1.06277 90.00 0.48086 0.45169 0.55233 0.43093 0.52800 0.49231

1.80 1.11556 0.96742 1.22876 0.89299 1.10390 1.04250 95.00 0.47615 0.44722 0.54709 0.42663 0.52293 0.48754

1.90 1.09227 0.95178 1.20245 0.88104 1.08482 1.02440 100.00 0.47172 0.44301 0.54215 0.42258 0.51815 0.48306

2.00 1.07135 0.93762 1.17887 0.87015 1.06769 1.00809 125.00 0.45283 0.42509 0.52104 0.40536 0.49774 0.46391

2.20 1.03463 0.91295 1.13852 0.85102 1.03824 0.98001 150.00 0.43787 0.41090 0.50426 0.39174 0.48154 0.44872

2.40 1.00405 0.89219 1.10524 0.83462 1.01370 0.95651 175.00 0.42555 0.39923 0.49040 0.38054 0.46818 0.43620

2.60 0.97813 0.87431 1.07715 0.82034 0.99292 0.93648 200.00 0.41512 0.38935 0.47864 0.37107 0.45684 0.42558

2.80 0.95602 0.85873 1.05311 0.80769 0.97495 0.91919

3.00 0.93651 0.84498 1.03226 0.79637 0.95924 0.90405

3.20 0.91920 0.83271 1.01395 0.78614 0.94530 0.89060

3.40 0.90387 0.82164 0.99773 0.77681 0.93284 0.87856

3.60 0.89013 0.81157 0.98324 0.76825 0.92158 0.86768

3.80 0.87762 0.80235 0.97020 0.76035 0.91133 0.85778

4.00 0.86619 0.79385 0.95838 0.75300 0.90194 0.84869

4.50 0.84166 0.77517 0.93299 0.73666 0.88145 0.82888

5.00 0.82143 0.75932 0.91207 0.72260 0.86421 0.81221

5.50 0.80422 0.74559 0.89438 0.71025 0.84936 0.79787

6.00 0.78930 0.73348 0.87911 0.69927 0.83633 0.78529

6.50 0.77617 0.72268 0.86570 0.68938 0.82472 0.77410

7.00 0.76446 0.71292 0.85377 0.68040 0.81426 0.76403

7.50 0.75396 0.70404 0.84303 0.67217 0.80474 0.75487

8.00 0.74443 0.69588 0.83328 0.66458 0.79601 0.74649

8.50 0.73570 0.68835 0.82435 0.65754 0.78795 0.73875

9.00 0.72767 0.68136 0.81611 0.65099 0.78047 0.73156

9.50 0.72023 0.67483 0.80847 0.64485 0.77348 0.72486

10.00 0.71331 0.66872 0.80135 0.63909 0.76693 0.71859

11.00 0.70077 0.65754 0.78841 0.62852 0.75494 0.70712

12.00 0.68965 0.64753 0.77690 0.61902 0.74418 0.69684

13.00 0.67965 0.63847 0.76652 0.61040 0.73444 0.68753

14.00 0.67059 0.63021 0.75709 0.60253 0.72553 0.67904

18
Collision integrals for the (10, 6, 8) potential function for y= 1. T* ft' 1 - »>* n(i - 2) * 2 >* n«. 3>* n(3 - 3) * T* n(i - »>* n<2- 2)* n(i- 3) * n<2- 3)* ft< 3. 3)*

0.10 4.19852 3.72147 4.26959 3. 392% 3.91428 3.92209 15.00 0.67007 0.63092 0.75538 0.60390 0.72480 0.67900

0.15 3.64362 3.20637 3.73580 2.89519 3.43340 3.37521 16.00 0.66255 0.62398 0.74753 0.59726 0.71733 0.67187

0.20 3.27245 2.84628 3.40414 2.53042 3.12736 2.99682 17.00 0.65558 0.61753 0.74025 0.59108 0.71037 0.66524

0.25 2.98807 2.56238 3.15985 2.24298 2.88631 2.70872 18.00 0.64910 0.61151 0.73345 0.58530 0.70386 0.65904

0.30 2.75494 2.32966 2.95687 2.01445 2.67566 2.47847 19.00 0.64303 0.60587 0.72708 0.57987 0.69775 0.65322

0.35 2.55957 2.13948 2.78188 1.83414 2.48947 2.29085 20.00 0.63734 0.60055 0.72108 0.57477 0.69199 0.64773

0.40 2.39265 1.98007 2.62340 1.69143 2.33104 2.13492 22.00 0.62692 0.59079 0.71007 0.56538 0.68138 0.63765

0.45 2.24817 1.84863 2.48337 1.57674 2.18080 2.00424 24.00 0.61756 0.58200 0.70014 0.55692 0.67181 0.62855

0.50 2.12474 1.73824 2.35589 1.48382 2.05651 1.89225 26.00 0.60908 0.57402 0.69112 0.54922 0.66308 0.62027

0.55 2.01684 1.64520 2.24408 1.40802 1.94697 1.79680 28.00 0.60133 0.56671 0.68285 0.54218 0.65508 0.61268

0.60 1.92086 1.56365 2.13863 1.34391 1.85066 1.71279 30.00 0.59421 0.55997 0.67522 0.53568 0.64769 0.60567

0.65 1.83842 1.49548 2.04832 1.28967 1.76725 1.63905 32.00 0.58761 0.55373 0.66814 0. 52%7 0.64082 0.59917

0.70 1.76203 1.43803 1.96820 1.24435 1.69405 1.57546 34.00 0.58148 0.54792 0.66154 0.52406 0.63443 0.59311

0.75 1.69739 1.38638 1.89303 1.20536 1.62934 1.51932 36.00 0.57575 0.54248 0.65536 0.51882 0.62843 0.58744

0.80 1.63903 1.34085 1.82591 1.17120 1.57225 1.46912 38.00 0.57038 0.53739 0.64955 0.51391 0.62280 0.58211

0.85 1.58468 1.30010 1.76548 1.14139 1.52197 1.42443 40.00 0.56532 0.53258 0.64408 0.50927 0.61749 0.57709

0.90 1.53576 1.26482 1.71113 1.11508 1.47714 1.38440 45.00 0.55386 0.52169 0.63163 0.49877 0.60541 0.56567

0.95 1.49279 1.23374 1.66142 1.09178 1.43683 1.34853 50.00 0.54377 0.51210 0.62065 0.48952 0.59474 0.55560

1.00 1.45504 1.20562 1.61603 1.07098 1.40047 1.31621 55.00 0.53478 0.50355 0.61082 0.48127 0.58520 0.54660

1.10 1.38833 1.15677 1.53716 1.03529 1.33816 1.26020 60.00 0.52668 0.49584 0.60195 0.47384 0.57659 0.53847

1.20 1.32937 1.11621 1.47098 1.00564 1.28680 1.21335 65.00 0.51932 0.48884 0.59387 0.46709 0.56875 0.53108

1.30 1.27854 1.08230 1.41407 0.98069 1.24386 1.17383 70.00 0.51258 0.48243 0.58645 0.46091 0.56155 0.52430

1.40 1.23681 1.05346 1.36513 0.95935 1.20738 1.14011 75.00 0.50637 0.47652 0. 57%1 0.45522 0.55491 0.51805

1.50 1.20062 1.02843 1.32306 0.94083 1.17597 1.11103 80.00 0.50062 0.47104 0.57326 0.44994 0.54876 0.51225

1.60 1.16813 1.00641 1.28634 0.92453 1.14873 1.08565 85.00 0.49526 0.46595 0.56734 0.44503 0.54302 0.50685

1.70 1.13966 0.98712 1.25420 0.91004 1.12492 1.06329 90.00 0.49026 0.46119 0.56179 0.44045 0.53764 0.50179

1.80 1.11409 0.96994 1.22563 0.89705 1.10393 1.04345 95.00 0.48556 0.45672 0.55659 0.43615 0.53260 0.49705

1.90 1.09133 0.95462 1.20007 0.88531 1.08525 1.02573 100.00 0.48114 0.45251 0.55168 0.43210 0.52785 0.49258

2.00 1.07090 0.94078 1.17705 0.87462 1.06849 1.00979 125.00 0.46229 0.43459 0.53070 0.41485 0.50754 0.47349

2.20 1.03555 0.91662 1.13755 0.85582 1.03962 0.98225 150.00 0.44734 0.42039 0.51401 0.40120 0.49139 0.45832

2.40 1.00539 0.89620 1.10500 0.83971 1.01557 0.95923 175.00 0.43502 0.40869 0.50020 0.38995 0.47805 0.44581

2.60 0.98006 0.87868 1.07760 0.82568 0.99517 0.93959 200.00 0.42458 0.39879 0.48848 0.38043 0.46673 0.43519

2.80 0.95836 0.86337 1.05407 0.81324 0.97759 0.92264

3.00 0.93943 0.84986 1.03366 0.80211 0.96219 0.90777

3.20 0.92257 0.83780 1.01574 0.79205 0.94851 0.89459

3.40 0.90748 0.82692 0.99986 0.78288 0.93629 0.88278

3.60 0.89397 0.81703 0.98565 0.77446 0.92526 0.87210

3.80 0.88177 0.80797 0.97288 0.76669 0.91520 0.86238

4.00 0.87060 0.79962 0.96130 0.75947 0.90599 0.85347

4.50 0.84649 0.78125 0.93641 0.74339 0.88591 0.83401

5.00 0.82660 0.76567 0.91590 0.72954 0.86900 0.81765

5.50 0.80972 0.75216 0.89856 0.71739 0.85443 0.80356

6.00 0.79508 0.74024 0.88361 0.70657 0.84165 0.79121

6.50 0.78219 0.72960 0.87046 0.69683 0.83027 0.78022

7.00 0.77069 0.72000 0.85875 0.68797 0.82001 0.77032

7.50 0.76035 0.71125 0.84822 0.67986 0.81067 0.76132

8.00 0.75097 0.70322 0.83865 0.67237 0.80210 0.75307

8.50 0.74239 0.69580 0.82990 0.66543 0.79419 0.74547

9.00 0.73448 0.68890 0.82182 0.65896 0.78684 0.73840

9.50 0.72715 0.68247 0.81432 0.65291 0.77998 0.73181

10.00 0.72034 0.67644 0.80733 0.64721 0.77355 0.72564

11.00 0.70799 0.66541 0.79463 0.63677 0.76177 0.71435

12.00 0.69703 0.65553 0.78333 0.62739 0.75121 0.70423

13.00 0.68718 0.64659 0.77314 0.61887 0.74163 0.69507

14.00 0.67824 0.63842 0.76387 0.61108 0.73287 0.68670

19
Collision integrals for the (10, 6, 8) potential function for y = 2.

T* n(i - 2) * n<2 - 2) * na - 3) * n(2 - 3) * n(3 - 3) * T* ft<i. »>* n(i • 2) * n(2> 2) * na - 3) * n<2- 3)* n<3- 3) *

0.10 3.97989 3.54269 4.07300 3.24303 3.74718 3.74213 15.00 0.67661 0.63790 0.76124 0.61115 0.73111 0.68554

0.15 3.47274 3.07348 3.58020 2.79121 3.30080 3.24387 16.00 0.66917 0.63103 0.75351 0.60456 0.72374 0.67849

0.20 3.13250 2.74655 3.27362 2.45634 3.01440 2.89450 17.00 0.66228 0.62464 0.74633 0.59842 0.71688 0.67194

0.25 2.87597 2.48589 3.04638 2.19237 2.79382 2.62962 18.00 0.65587 0.61867 0.73962 0.59269 0.71045 0.66581

0.30 2.66139 2.27169 2.86005 1.97918 2.60049 2.41568 19.00 0.64986 0.61308 0.73334 0.58730 0.70442 0.66005

0.35 2.48155 2.09391 2.69762 1.81018 2.42991 2.24150 20.00 0.64423 0.60781 0.72743 0.58223 0.69873 0.65463

0.40 2.32725 1.94476 2.55173 1.67372 2.27593 2.09489 22.00 0.63391 0.59812 0.71656 0.57291 0.68825 0.64465

0.45 2.19363 1.82138 2.42161 1.56379 2.14178 1.97049 24.00 0.62464 0.58940 0.70676 0.56450 0.67878 0.63564

0.50 2.07758 1.71450 2.30188 1.47308 2.02150 1.86329 26.00 0.61623 0.58147 0.69785 0.55685 0.67016 0.62744

0.55 1.97558 1.62671 2.19718 1.40000 1.91957 1.77230 28.00 0.60855 0.57421 0.68968 0.54984 0.66224 0.61991

0.60 1.88598 1.54986 2.10081 1.33813 1.82751 1.69262 30.00 0.60148 0.56752 0.68214 0.54338 0.65493 0.61297

0.65 1.80820 1.48361 2.01292 1.28550 1.74730 1.62225 32.00 0.59494 0.56131 0.67514 0.53739 0.64813 0.60652

0.70 1.73717 1.42674 1.93636 1.24084 1.67744 1.56041 34.00 0.58885 0.55553 0.66861 0.53181 0.64180 0.60051

0.75 1.67297 1.37831 1.86722 1.20286 1.61533 1.50652 36.00 0.58316 0.55013 0.66250 0.52659 0.63586 0.59488

0.80 1.61780 1.33426 1.80241 1.16972 1.56014 1.45847 38.00 0.57783 0.54506 0.65675 0.52169 0.63028 0.58959

0.85 1.56779 1.29536 1.74462 1.14048 1.51124 1.41524 40.00 0.57280 0.54028 0.65134 0.51708 0.62501 0.58461

0.90 1.52097 1.26015 1.69212 1.11471 1.46785 1.37650 45.00 0.56141 0.52944 0.63901 0.50661 0.61303 0.57327

0.95 1.47862 1.22954 1.64478 1.09180 1.42893 1.34160 50.00 0.55138 0.51988 0.62813 0.49738 0.60245 0.56326

1.00 1.44092 1.20235 1.60122 1.07136 1.39375 1.31018 55.00 0.54244 0.51136 0.61839 0.48915 0.59298 0.55431

1.10 1.37762 1.15494 1.52468 1.03635 1.33291 1.25581 60.00 0.53437 0.50367 0.60959 0.48173 0.58443 0.54623

1.20 1.32180 1.11542 1.46079 1.00729 1.28281 1.21027 65.00 0.52704 0.49668 0.60157 0.47498 0.57663 0.53887

1.30 1.27286 1.08213 1.40619 0.98272 1.24083 1.17167 70.00 0.52033 0.49028 0.59420 0.46881 0.56948 0.53212

1.40 1.23115 1.05383 1.35862 0.96171 1.20518 1.13870 75.00 0.51414 0.48438 0.58741 0.46311 0.56288 0.52589

1.50 1.19613 1.02939 1.31746 0.94349 1.17451 1.11024 80.00 0.50840 0.47892 0.58110 0.45784 0.55675 0.52011

1.60 1.16514 1.00792 1.28175 0.92747 1.14781 1.08543 85.00 0.50306 0.47383 0.57521 0.45293 0.55104 0.51473

1.70 1.13727 0.98887 1.25031 0.91322 1.12443 1.06355 90.00 0.49807 0.46907 0.56970 0.44834 0.54569 0.50969

1.80 1.11254 0.97204 1.22256 0.90043 1.10381 1.04412 95.00 0.49338 0.46460 0.56453 0.44403 0.54067 0.50495

1.90 1.09024 0.95690 1.19768 0.88888 1.08548 1.02674 100.00 0.48897 0.46040 0.55964 0.43998 0.53593 0.50049

2.00 1.07024 0.94331 1.17528 0.87836 1.06905 1.01110 125.00 0.47014 0.44246 0.53876 0.42270 0.51568 0.48144

2.20 1.03570 0.91962 1.13657 0.85984 1.04072 0.98406 150.00 0.45520 0.42824 0.52212 0.40900 0.49957 0.46628

2.40 1.00660 0.89955 1.10461 0.84397 1.01710 0.96145 175.00 0.44287 0.41651 0.50835 0.39772 0.48624 0.45576

2.60 0.98155 0.88230 1.07777 0.83016 0.99700 0.94217 200.00 0.43242 0.40657 0.49664 0.38815 0.47493 0.44313

2.80 0.96016 0.86725 1.05477 0.81791 0.97974 0.92550

3.00 0.94164 0.85394 1.03475 0.80694 0.96463 0.91088

3.20 0.92522 0.84206 1.01717 0.79703 0.95122 0.89792

3.40 0.91046 0.83135 1.00159 0.78800 0.93919 0.88631

3.60 0.89715 0.82161 0.98766 0.77970 0.92834 0.87581

3.80 0.88514 0.81269 0.97508 0.77203 0.91847 0.86624

4.00 0.87422 0.80447 0.96371 0.76491 0.90940 0.85748

4.50 0.85051 0.78637 0.93926 0.74906 0.88966 0.83834

5.00 0.83091 0.77101 0.91914 0.73539 0.87305 0.82223

5.50 0.81432 0.75769 0.90208 0.72340 0.85872 0.80836

6.00 0.79992 0.74594 0.88738 0.71272 0.84616 0.79620

6.50 0.78724 0.73544 0.87448 0.70310 0.83496 0.78537

7.00 0.77592 0.72596 0.86297 0.69435 0.82487 0.77562

7.50 0.76572 0.71733 0.85261 0.68633 0.81569 0.76676

8.00 0.75647 0.70939 0.84320 0.67894 0.80726 0.75863

8.50 0.74801 0.70206 0.83458 0.67207 0.79947 0.75113

9.00 0.74022 0.69525 0.82664 0.66567 0.79224 0.74417

9.50 0.73298 0.68890 0.81927 0.65968 0.78549 0.73767

10.00 0.72626 0.68294 0.81239 0.65405 0.77915 0.73158

11.00 0.71406 0.67203 0.79989 0.64372 0.76756 0.72044

12.00 0.70324 0.66226 0.78876 0.63442 0.75715 0.71046

13.00 0.69352 0.65341 0.77874 0.62598 0.74770 0.70141

14.00 0.68469 0.64533 0.76961 0.61826 0.73907 0.69315

20
Collision integrals for the {10, 6, 8) potential function for y = 3. T* n*1 - X) * ft”- 2>* n< 2. 2>* n«- 3) * fl<2 - 3) * ft(3. 3)* T* n°- »* n(i - 2) * ft< 2' 2>* n«- 3) * n< 2. 3>* ft<3- 3)*

0.10 3.75945 3.36838 3.88094 3.09970 3.58237 3.56948 15.00 0.68225 0.64392 0.76631 0.61739 0.73657 0.69118

0.15 3.30502 2.94799 3.43249 2.68950 3.17082 3.11456 16.00 0.67488 0.63711 0.75867 0.61084 0.72929 0.68421

0.20 2.99914 2.64875 3.14564 2.39012 2.91260 2.80121 17.00 0.66806 0.63077 0.75158 0.60475 0.72250 0.67771

0.25 2.76665 2.41436 2.94051 2.14310 2.70547 2.55292 18.00 0.66170 0.62484 0. 744% 0.59905 0.71615 0.67164

0.30 2.57094 2.21708 2.76906 1.94756 2.53164 2.35792 19.00 0.65575 0.61928 0.73876 0.59370 0.71018 0.66594

0.35 2.40758 2.05377 2.62184 1.78911 2.37444 2.19628 20.00 0.65017 0.61405 0.73291 0.58866 0.70455 0.66057

0.40 2.26561 1.91300 2.48592 1.65718 2.23026 2.05592 22.00 0.63993 0.60443 0.72217 0.57938 0.69418 0.65068

0.45 2.14176 1.79651 2.36564 1.55040 2.10334 1.93735 24.00 0.63073 0.59577 0.71248 0.57101 0.68481 0.64174

0.50 2.03157 1.69288 2.25209 1.46492 1.99142 1.83770 26.00 0.62239 0.58788 0.70366 0.56340 0.67626 0.63361

0.55 1.93765 1.61236 2.15619 1.39178 1.89224 1.74870 28.00 0.61476 0.58066 0.69558 0.55642 0.66842 0.62614

0.60 1.85414 1.53554 2.06343 1.33241 1.80602 1.67299 30.00 0.60774 0.57400 0.68811 0.54999 0.66117 0.61925

0.65 1.77754 1.47238 1.98085 1.28206 1.72944 1.60687 32.00 0.60124 0.56783 0.68118 0.54402 0.65443 0.61285

0.70 1.71232 1.41708 1.90624 1.23771 1.66140 1.54676 34.00 0.59519 0.56208 0.67471 0.53846 0.64815 0.60688

0.75 1.65076 1.36928 1.84105 1.20035 1.60216 1.49422 36.00 0.58954 0.55670 0.66866 0.53326 0.64226 0.60128

0.80 1.59937 1.32755 1.78056 1.16801 1.54889 1.44802 38.00 0.58423 0.55165 0.66296 0.52837 0.63672 0.59603

0.85 1.54999 1.29026 1.72501 1.13945 1.50133 1.40649 40.00 0.57924 0.54689 0.65759 0.52377 0.63149 0.59107

0.90 1.50569 1.25680 1.67522 1.11437 1.45929 1.36920 45.00 0.56790 0.53608 0.64537 0.51332 0.61959 0.57979

0.95 1.46547 1.22581 1.62875 1.09175 1.42138 1.33518 50.00 0.55792 0.52655 0.63457 0.50411 0.60908 0.56983

1.00 1.43071 1.19907 1.58733 1.07157 1.38731 1.30450 55.00 0.54901 0.51805 0.62490 0.49589 0.59967 0.56092

1.10 1.36614 1.15303 1.51332 1.03715 1.32821 1.25154 60.00 0.54097 0.51038 0.61615 0.48848 0.59116 0.55288

1.20 1.31377 1.11473 1.45143 1.00858 1.27905 1.20727 65.00 0.53367 0.50340 0.60818 0.48173 0.58340 0.54555

1.30 1.26834 1.08179 1.39835 0.98442 1.23796 1.16959 70.00 0.52697 0.49701 0.60087 0.47556 0.57629 0.53882

1.40 1.22645 1.05403 1.35265 0.96378 1.20318 1.13737 75.00 0.52080 0.49112 0.59411 0.46986 0.56971 0.53261

1.50 1.19173 1.03005 1.31244 0.94573 1.17307 1.10940 80.00 0.51508 0.48565 0.58783 0.46459 0.56361 0.52685

1.60 1.16167 1.00900 1.27737 0.92994 1.14691 1.08507 85.00 0.50975 0.48057 0.58198 0.45967 0.55792 0.52147

1.70 1.13470 0.99033 1.24668 0.91591 1.12394 1.06365 90.00 0.50476 0.47581 0.57649 0.45508 0.55259 0.51645

1.80 1.11117 0.97377 1.21958 0.90331 1.10365 1.04460 95.00 0.50008 0.47134 0.57134 0.45077 0.54758 0.51172

1.90 1.08912 0.95900 1.19546 0.89192 1.08561 1.02753 100.00 0.49568 0.46713 0.56648 0.44671 0.54286 0.50727

2.00 1.06936 0.94541 1.17347 0.88155 1.06945 1.01216 125.00 0.47686 0.44918 0.54566 0.42939 0.52266 0.48823

2.20 1.03565 0.92212 1.13567 0.86329 1.04161 0.98557 150.00 0.46191 0.43493 0.52907 0.41565 0.50656 0.47308

2.40 1.00723 0.90239 1.10420 0.84764 1.01838 0.96334 175.00 0.44957 0.42318 0.51532 0.40433 0.49325 0.46055

2.60 0.98275 0.88539 1.07781 0.83401 0.99860 0.94435 200.00 0.43910 0.41320 0.50363 0.39472 0.48193 0.44991

2.80 0.96213 0.87056 1.05525 0.82192 0.98156 0.92796

3.00 0.94337 0.85744 1.03563 0.81110 0.96668 0.91356

3.20 0.92731 0.84574 1.01839 0.80132 0.95352 0.90077

3.40 0.91291 0.83515 1.00305 0.79240 0.94170 0.88933

3.60 0.89987 0.82554 0.98933 0.78421 0.93099 0.87899

3.80 0.88803 0.81674 0.97699 0.77664 0.92127 0.86957

4.00 0.87725 0.80863 0.96576 0.76960 0.91237 0.86092

4.50 0.85394 0.79078 0.94173 0.75394 0.39290 0.84207

5.00 0.83466 0.77561 0.92190 0.74045 0.87655 0.82617

5.50 0.81824 0.76245 0.90513 0.72859 0.86244 0.81250

6.00 0.80407 0.75085 0.89063 0.71803 0.85005 0.80051

6.50 0.79157 0.74048 0.87793 0.70851 0.83902 0.78982

7.00 0.78042 0.73111 0.86662 0.69986 0.82908 0.78020

7.50 0.77036 0.72257 0.85641 0.69192 0.82003 0.77145

8.00 0.76122 0.71472 0.84713 0.68460 0.81172 0.76343

8.50 0.75285 0.70747 0.83864 0.67780 0.80404 0.75602

9.00 0.74515 0.70073 0.83081 0.67146 0.79691 0.74915

9.50 0.73801 0.69444 0.82354 0.66553 0.79025 0.74273

10.00 0.73136 0.68854 0.81677 0.65995 0.78400 0.73671

11.00 0.71932 0.67775 0.80444 0.64970 0.77256 0.72570

12.00 0.70860 0.66306 0.79347 0.64048 0.76228 0.71583

13.00 0.69898 0.65930 0.78357 0.63211 0.75296 0.70688

14.00 0.69024 0.65129 0.77457 0.62445 0.74443 0.69871

21
Collision integrals for the (10, 6, If) potential function for y = 4. T* n(i - *>* na- 2>* ft«- 2>* an - 3) * n(z - 3> * n<3- 3> * T* na- 2>* n<2- 2) * ft<»- 3>* n<2> 3>* a<3- 3)*

0.10 3.54222 3.20008 3.69281 2.95939 3.42184 3.39829 15.00 0.68721 0.64922 0.77080 0.62287 0.74139 0.69615

0.15 3.14442 2.82127 3.28393 2.59179 3.04708 2.99073 16.00 0.67991 0.64245 0.76325 0.61636 0.73418 0.68924

0.20 2.86697 2.55453 3.02353 2.31815 2.80655 2.70359 17.00 0.67314 0.63615 0.75623 0.61030 0.72745 0.68280

0.25 2.65741 2.33966 2.83283 2.09520 2.62115 2.47970 18.00 0.66683 0.63026 0.74968 0.60463 0.72116 0.67678

0.30 2.48265 2.15972 2.67703 1.91166 2.46013 2.29741 19.00 0.66093 0.62474 0.74354 0.59931 0.71524 0.67112

0.35 2.33238 2.00701 2.54039 1.76027 2.31378 2.14400 20.00 0.65539 0.61954 0.73775 0.59429 0.70966 0.66578

0.40 2.20212 1.87749 2.41778 1.63846 2.18392 2.01648 22.00 0.64522 0.60998 0.72711 0.58505 0.69938 0.65596

0.45 2.08793 1.76664 2.30569 1.53754 2.06508 1.90621 24.00 0.63609 0.60135 0.71751 0.57672 0.69008 0.64709

0.50 1.98739 1.67330 2.20423 1.45474 1.96101 1.81075 26.00 0.62780 0.59351 0.70877 0.56914 0.68161 0.63901

0.55 1.89835 1.59086 2.11021 1.38448 1.86619 1.72694 28.00 0.62022 0.58632 0.70075 0.56218 0.67382 0.63159

0.60 1.81955 1.52170 2.02603 1.32667 1.78506 1.65435 30.00 0.61324 0.57968 0.69335 0.55577 0.66662 0.62473

0.65 1.74983 1.46178 1.95082 1.27774 1.71193 1.59096 32.00 0.60677 0.57353 0.68647 0.54982 0.65993 0.61837

0.70 1.68560 1.40721 1.87821 1.23485 1.64646 1.53383 34.00 0.60075 0.56780 0.68005 0.54427 0.65369 0.61243

0.75 1.63054 1.36069 1.81498 1.19794 1.58918 1.48303 36.00 0.59513 0.56244 0.67404 0.53908 0.64784 0.60687

0.80 1.57884 1.32075 1.75912 1.16619 1.53818 1.43800 38.00 0.58985 0.55741 0.66839 0.53421 0.64234 0.60164

0.85 1.53159 1.28518 1.70683 1.13844 1.49231 1.39811 40.00 0.58487 0.55266 0.66306 0.52961 0.63714 0.59671

0.90 1.49084 1.25214 1.65776 1.11370 1.45117 1.36198 45.00 0.57358 0.54188 0.65092 0.51918 0.62532 0.58548

0.95 1.45342 1.22266 1.61365 1.09150 1.41424 1.32905 50.00 0.56363 0.53238 0.64019 0.50999 0.61486 0.57557

1.00 1.41808 1.19592 1.57347 1.07175 1.38118 1 . 2993° 55.00 0.55475 0.52389 0.63058 0.50177 0.60550 0.56670

1.10 1.35581 1.15097 1.50276 1.03776 1.32374 1.24752 60.00 0.54675 0.51624 0.62189 0.49437 0.59704 0.55868

1.20 1.30552 1.11351 1.44235 1.00964 1.27567 1.20433 65.00 0.53946 0.50927 0.61396 0.48763 0.58932 0.55138

1.30 1.26203 1.08142 1.39089 0.98588 1.23536 1.16761 70.00 0.53278 0.50288 0.60669 0.48145 0.58223 0.54467

1.40 1.22217 1.05407 1.34669 0.96544 1.20111 1.13598 75.00 0.52662 0.49700 0.59996 0.47576 0.57569 0.53848

1.50 1.18751 1.03048 1.30777 0.94768 1.17168 1.10858 80.00 0.52091 0.49154 0.59372 0.47048 0.56961 0.53273

1.60 1.15795 1.00982 1.27343 0.93208 1.14603 1.08468 85.00 0.51559 0.48645 0.58789 0.46556 0.56394 0.52738

1.70 1.13225 0.99156 1.24335 0.91824 1.12347 1.06364 90.00 0.51061 0.48169 0.58243 0.46096 0.55863 0.52236

1.80 1.10894 0.97523 1.21677 0.90581 1.10349 1.04493 95.00 0.50594 0.47722 0.57730 0.45665 0.55364 0.51764

1.90 1.08757 0.96049 1.19297 0.89457 1.08571 1.02817 100.00 0.50153 0.47302 0.57246 0.45258 0.54893 0.51320

2.00 1.06864 0.94726 1.17166 0.88433 1.06977 1.01305 125.00 0.48273 0.45505 0.55171 0.43523 0.52877 0.49418

2.20 1.03536 0.92426 1.13475 0.86629 1.04235 0.98687 150.00 0.46778 0.44078 0.53516 0.42146 0.51270 0.47903

2.40 1.00754 0.90484 1.10384 0.85083 1.01947 0.96495 175.00 0.45542 0.42899 0.52143 0.41009 0.49938 0.46649

2.60 0.98382 0.88808 1.07779 0.83737 1.00006 0.94618 200.00 0.44493 0.41899 0.50975 0.40045 0.48806 0.45583

2.80 0.96300 0.87344 1.05559 0.82543 0.98318 0.93009

3.00 0.94492 0.86050 1.03633 0.81474 0.96849 0.91589

3.20 0.92902 0.84892 1.01937 0.80507 0.95549 0.90329

3.40 0.91494 0.83847 1.00428 0.79626 0.94386 0.89197

3.60 0.90218 0.82898 0.99080 0.78816 0.93333 0.88176

3.80 0.89053 0.82029 0.97862 0.78068 0.92373 0.87248

4.00 0.87987 0.81228 0.96757 0.77372 0.91494 0.86395

4.50 0.85695 0.79464 0.94385 0.75823 0.89575 0.84534

5.00 0.83785 0.77965 0.92432 0.74488 0.87961 0.82966

5.50 0.82166 0.76664 0.90780 0.73315 0.86571 0.81615

6.00 0.80768 0.75516 0.89351 0.72270 0.85350 0.80430

6.50 0.79535 0.74490 0.88096 0.71328 0.84261 0.79376

7.00 0.78434 0.73563 0.86982 0.70470 0.83280 0.78425

7.50 0.77442 0.72717 0.85976 0.69684 0.82387 0.77560

8.00 0.76538 0.71941 0.85061 0.68958 0.81567 0.76767

8.50 0.75711 0.71223 0.84223 0.68285 0.80810 0.76035

9.00 0.74948 0.70556 0.83450 0.67656 0.80105 0.75355

9.50 0.74242 0.69932 0.82733 0.67068 0.79447 0.74720

10.00 0.73585 0.69348 0.82064 0.66514 0.78830 0.74125

11.00 0.72391 0.68278 0.80848 0.65497 0.77699 0.73036

12.00 0.71331 0.67318 0.79764 0.64582 0.76683 0.72058

13.00 0.70378 0.66448 0.78786 0.63750 0.75761 0.71172

14.00 0.69513 0.65653 0.77896 0.62989 0.74917 0.70362

22
Collision integrals for the (11 , 6, 8) potential function for y = 0. T* n(l - x) * nu- 2) * n«- 3>* n<2> 3) * n(3> 3)* T* n(i - OP- 2) * Cl12 - 2)* n«* 3) * 3)* H<3- 3)*

0.10 4.19320 3.70877 4.26309 3.37642 3.90410 3.90679 15.00 0.67931 0.64108 0.76278 0.61473 0.73298 0.68816

0.15 3.63128 3.18997 3.72397 2.87811 3.41785 3.35786 16.00 0.67197 0.63432 0.75514 0.60826 0.72570 0.68122

0.20 3.25777 2.83034 3.38906 2.51531 3.10962 2.97953 17.00 0.66516 0.62803 0.74804 0.60223 0.71893 0.67475

0.25 2.97290 2.54775 3.14293 2.23075 2.86836 2.69283 18.00 0.65883 0.62216 0.74141 0.59660 0.71259 0.66871

0.30 2.74081 2.31740 2.94029 2.00478 2.65890 2.46466 19.00 0.65292 0.61665 0.73521 0.59131 0.70664 0.66305

0.35 2.54603 2.12837 2.76480 1.82714 2.47483 2.27901 20.00 0.64736 0.61147 0.72937 0.58634 0.70104 0.65771

0.40 2.38055 1.97108 2.60773 1.68569 2.31630 2.12438 22.00 0.63720 0.60196 0.71864 0.57719 0.69072 0.64789

0.45 2.23755 1.84143 2.46870 1.57268 2.16887 1.99466 24.00 0.62807 0.59339 0.70898 0.56894 0.68140 0.63903

0.50 2.11500 1.73244 2.34274 1.48079 2.04583 1.88430 26.00 0.61980 0.58561 0.70020 0.56145 0.67291 0.63097

0.55 2.00861 1.64058 2.23221 1.40629 1.93803 1.78978 28.00 0.61225 0.57848 0.69215 0.55458 0.66513 0.62358

0.60 1.91304 1.55977 2.12746 1.34275 1.84265 1.70695 30.00 0.60530 0.57192 0.68472 0.54825 0.65794 0.61676

0.65 1.83192 1.49238 2.03780 1.28920 1.76019 1.63412 32.00 0.59887 0.56584 0.67784 0.54238 0.65127 0.61043

0.70 1.75636 1.43589 1.95929 1.24454 1.68804 1.57100 34.00 0.59289 0.56017 0.67141 0.53692 0.64504 0.60453

0.75 1.69235 1.38492 1.88482 1.20600 1.62407 1.51573 36.00 0.58731 0.55488 0.66540 0.53182 0.63921 0.59901

0.80 1.63444 1.33971 1.81829 1.17223 1.56766 1.46621 38.00 0.58207 0.54991 0.65976 0.52702 0.63374 0.59382

0.85 1.58117 1.29950 1.75845 1.14282 1.51800 1.42204 40.00 0.57714 0.54523 0.65443 0.52251 0.62857 0.58893

0.90 1.53236 1.26477 1.70499 1.11681 1.47362 1.38241 45.00 0.56596 0.53461 0.64233 0.51226 0.61682 0.57781

0.95 1.49007 1.23405 1.65585 1.09384 1.43385 1.34692 50.00 0.55613 0.52526 0.63164 0.50324 0.60645 0.56801

1.00 1.45241 1.20628 1.61098 1.07330 1.39792 1.31504 55.00 0.54737 0.51692 0.62209 0.49520 0.59717 0.55924

1.10 1.38699 1.15795 1.53295 1.03806 1.33637 1.25978 60.00 0.53947 0.50941 0.61346 0.48795 0.58880 0.55133

1.20 1.32845 1.11793 1.46751 1.00880 1.28563 1.21347 65.00 0.53229 0.50257 0.60560 0.48136 0.58117 0.54413

1.30 1.27824 1.08452 1.41139 0.98420 1.24319 1.17447 70.00 0.52572 0.49632 0.59839 0.47533 0.57417 0.53753

1.40 1.23718 1.05602 1.36303 0.96314 1.20714 1.14113 75.00 0.51966 0.49055 0.59173 0.46977 0.56771 0.53143

1.50 1.20141 1.03132 1.32149 0.94489 1.17615 1.11243 80.00 0.51405 0.48521 0.58555 0.46462 0.56172 0.52578

1.60 1.16925 1.00960 1.28518 0.92883 1.14926 1.08742 85.00 0.50883 0.48024 0.57979 0.45982 0.55613 0.52052

1.70 1.14120 0.99059 1.25340 0.91455 1.12575 1.06533 90.00 0.50395 0.47559 0.57440 0.45534 0.55090 0.51559

1.80 1.11589 0.97363 1.22515 0.90176 1.10501 1.04574 95.00 0.49937 0.47123 0.56933 0.45114 0.54599 0.51097

1.90 1.09352 0.95853 1.19998 0.89021 1.08657 1.02829 100.00 0.49505 0.46712 0.56456 0.44718 0.54136 0.50661

2.00 1.07333 0.94488 1.17726 0.87970 1.07004 1.01258 125.00 0.47665 0.44961 0.54414 0.43032 0.52159 0.48799

2.20 1.03841 0.92108 1.13826 0.86119 1.04157 0.98540 150.00 0.46206 0.43573 0.52788 0.41696 0.50585 0.47319

2.40 1.00869 0.90097 1.10611 0.84538 1.01787 0.96269 175.00 0.45002 0.42429 0.51443 0.40595 0.49285 0.46097

2.60 0.98372 0.88374 1.07906 0.83157 0.99779 0.94338 200.00 0.43981 0.41459 0.50301 0.39662 0.48181 0.45060

2.80 0.96229 0.86867 1.05586 0.81936 0.98045 0.92670

3.00 0.94365 0.85538 1.03575 0.80844 0.96528 0.91207

3.20 0.92703 0.84352 1.01810 0.79858 0.95185 0.89912

3.40 0.91216 0.83284 1.00246 0.78958 0.93983 0.88750

3.60 0.89886 0.82313 0.98847 0.78133 0.92898 0.87701

3.80 0.88688 0.81423 0.97588 0.77371 0.91911 0.86746

4.00 0.87590 0.80604 0.96447 0.76664 0.91007 0.85871

4.50 0.85216 0.78803 0.94000 0.75090 0.89036 0.83963

5.00 0.83261 0.77275 0.91986 0.73735 0.87378 0.82359

5.50 0.81603 0.75951 0.90283 0.72547 0.85952 0.80979

6.00 0.80167 0.74786 0.88815 0.71490 0.84701 0.79770

6.50 0.78902 0.73744 0.87526 0.70538 0.83587 0.78695

7.00 0.77775 0.72805 0.86380 0.69673 0.82584 0.77727

7.50 0.76760 0.71950 0.85348 0.68881 0.81671 0.76847

8.00 0.75841 0.71165 0.84412 0.68151 0.80835 0.76042

8.50 0.75002 0.70440 0.83554 0.67473 0.80062 0.75299

9.00 0.74227 0.69766 0.82764 0.66842 0.79345 0.74609

9.50 0.73510 0.69138 0.82032 0.66251 0.78676 0.73966

10.00 0.72844 0.68549 0.81349 0.65696 0.78048 0.73363

11.00 0.71636 0.67472 0.80108 0.64678 0.76900 0.72262

12.00 0.70565 0.66508 0.79005 0.63763 0.75870 0.71275

13.00 0.69602 0.65636 0.78011 0.62932 0.74937 0.70382

14.00 0.68729 0.64840 0.77107 0.62173 0.74083 0.69566

23
Collision integrals for the {11, 6, 8) potential function for y = 0.5 T* n(i * n* n(2* 2) * na* 3>* ,Q<2 - 3) * 3)*

.. T* n°- 2>* n<2- 2) * 3) * n(2- 3>* n<3> 3)*

0.10 4.04924 3.58785 4.13171 3.27461 3.79192 3.78671 15.00 0.68411 0.64621 0.76707 0.62005 0.73759 0.69295

0.15 3.51681 3.09947 3.61889 2.80653 3.32804 3.26900 16.00 0.67683 0.63949 0.75951 0.61361 0.73039 0.68607

0.20 3.16228 2.76173 3.30032 2.46469 3.03293 2.91070 17.00 0.67008 0.63324 0.75248 0.60762 0.72369 0.67966

0.25 2.89581 2.49477 3.06520 2.19541 2.80462 2.63865 18.00 0.66380 0.62741 0.74593 0.60202 0.71741 0.67367

0.30 2.67642 2.27704 2.87342 1.98016 2.60690 2.42107 19.00 0.65793 0.62194 0.73979 0.59677 0.71152 0.66805

0.35 2.49241 2.09706 2.70706 1.81044 2.43352 2.24487 20.00 0.65242 0.61680 0.73401 0.59182 0.70597 0.66276

0.40 2.33532 1.94650 2.55820 1.67385 2.27767 2.09704 22.00 0.64233 0.60734 0.72339 0.58271 0.69574 0.65301

0.45 2.19981 1.82274 2.42634 1.56354 2.14157 1.97140 24.00 0.63326 0.59882 0.71383 0.57451 0.68651 0.64422

0.50 2.08227 1.71502 2.30419 1.47318 2.02113 1.86379 26.00 0.62505 0.59108 0.70512 0.56704 0.67809 0.63622

0.55 1.97934 1.62763 2.19948 1.40052 1.91869 1.77280 28.00 0.61754 0.58399 0.69715 0.56020 0.67037 0.62888

0.60 1.88888 1.55012 2.10108 1.33859 1.82612 1.69258 30.00 0.61064 0.57746 0.68979 0.55390 0.66324 0.62210

0.65 1.81075 1.48379 2.01283 1.28624 1.74601 1.62213 32.00 0.60425 0.57140 0.68296 0.54805 0.65661 0.61581

0.70 1.73926 1.42771 1.93664 1.24192 1.67613 1.56045 34.00 0.59830 0.56576 0.67659 0.54261 0.65044 0.60995

0.75 1.67458 1.37928 1.86680 1.20420 1.61404 1.50664 36.00 0.59275 0.56049 0.67063 0.53752 0.64465 0.60446

0.80 1.61969 1.33502 1.80157 1.17120 1.55895 1.45857 38.00 0.58753 0.55554 0.66503 0.53274 0.63921 0.59930

0.85 1.56953 1.29607 1.74363 1.14213 1.51020 1.41540 40.00 0.58263 0.55088 0.65974 0.52823 0.63408 0.59444

0.90 1.52210 1.26133 1.69143 1.11657 1.46695 1.37679 45.00 0.57151 0.54029 0.64773 0.51801 0.62240 0.58338

0.95 1.47980 1.23097 1.64397 1.09384 1.42816 1.34203 50.00 0.56172 0.53097 0.63712 0.50901 0.61209 0.57362

1.00 1.44248 1.20395 1.60043 1.07357 1.39307 1.31074 55.00 0.55298 0.52265 0.62763 0.50098 0.60287 0.56489

1.10 1.37953 1.15667 1.52399 1.03884 1.33253 1.25660 60.00 0.54512 0.51515 0.61905 0.49373 0.59453 0.55701

1.20 1.32316 1.11742 1.46028 1.01002 1.28271 1.21127 65.00 0.53796 0.50833 0.61123 0.48715 0.58694 0.54984

1.30 1.27434 1.08439 1.40576 0.98568 1.24098 1.17289 70.00 0.53141 0.50208 0.60406 0.48112 0.57997 0.54325

1.40 1.23302 1.05630 1.35832 0.96488 1.20556 1.14014 75.00 0.52537 0.49632 0.59744 0.47556 0.57354 0.53718

1.50 1.19826 1.03205 1.31742 0.94684 1.17506 1.11189 80.00 0.51977 0.49099 0.59129 0.47041 0.56757 0.53154

1.60 1.16727 1.01074 1.28188 0.93099 1.14856 1.08724 85.00 0.51456 0.48602 0.58556 0.46562 0.56200 0.52629

1.70 1.13947 0.99184 1.25058 0.91689 1.12537 1.06553 90.00 0.50968 0.48137 0.58019 0.46113 0.55679 0.52138

1.80 1.11490 0.97515 1.22295 0.90425 1.10492 1.04625 95.00 0.50511 0.47701 0.57514 0.45693 0.55190 0.51676

1.90 1.09275 0.96021 1.19825 0.89283 1.08674 1.02902 100.00 0.50080 0.47290 0.57039 0.45296 0.54728 0.51241

2.00 1.07287 0.94675 1.17597 0.88243 1.07045 1.01352 125.00 0.48242 0.45539 0.55004 0.43608 0.52755 0.49381

2.20 1.03859 0.92329 1.13753 0.86414 1.04237 0.98674 150.00 0.46782 0.44149 0.53382 0.42268 0.51184 0.47902

2.40 1.00965 0.90343 1.10582 0.84852 1.01895 0.96432 175.00 0.45578 0.43002 0.52040 0.41164 0.49885 0.46680

2.60 0.98479 0.88639 1.07921 0.83487 0.99910 0.94528 200.00 0.44556 0.42030 0.50899 0.40228 0.48781 0.45641

2.80 0.96364 0.87152 1.05638 0.82279 0.98201 0.92880

3.00 0.94529 0.85838 1.03654 0.81199 0.96708 0.91435

3.20 0.92901 0.84665 1.01914 0.80223 0.95382 0.90155

3.40 0.91437 0.83609 1.00371 0.79334 0.94194 0.89009

3.60 0.90121 0.82649 0.98992 0.78518 0.93124 0.87972

3.80 0.88934 0.81770 0.97749 0.77764 0.92150 0.87029

4.00 0.87855 0.80960 0.96624 0.77064 0.91256 0.86165

4.50 0.85511 0.79179 0.94209 0.75506 0.89310 0.84280

5.00 0.83578 0.77667 0.92222 0.74165 0.87675 0.82694

5.50 0.81941 0.76358 0.90539 0.72989 0.86265 0.81331

6.00 0.80522 0.75204 0.89092 0.71941 0.85030 0.80136

6.50 0.79273 0.74173 0.87820 0.70999 0.83930 0.79072

7.00 0.78159 0.73243 0.86687 0.70142 0.82940 0.78115

7.50 0.77155 0.72396 0.85668 0.69356 0.82038 0.77246

8.00 0.76246 0.71618 0.84744 0.68632 0.81212 0.76449

8.50 0.75414 0.70900 0.83897 0.67961 0.80449 0.75714

9.00 0.74649 0.70232 0.83117 0.67335 0.79740 0.75031

9.50 0.73938 0.69610 0.82394 0.66749 0.79078 0.74395

10.00 0.73278 0.69026 0.81719 0.66198 0.78458 0.73799

11.00 0.72082 0.67959 0.80493 0.65187 0.77323 0.72708

12.00 0.71021 0.67002 0.79402 0.64279 0.76304 0.71732

13.00 0.70067 0.66137 0.78420 0.63454 0.75381 0.70847

14.00 0.69202 0.65347 0.77526 0.62700 0.74537 0.70039

24
Collision integrals for the {11, 6, 8) potential function for y— 1.0 T* n(i - n°- 2) * n< 2- 2) * n(i * 3) * n(2 - 3) * n«. 3) * T* ft'1 - »* na* 2) * a<2 - 2) * a(i - 3) * a<2. 3>* n<3- 3> *

0.10 3.90301 3.46966 4.00342 3.17616 3.68062 3.66912 15.00 0.68839 0.65077 0.77090 0.62479 0.74172 0.69723

0.15 3.39953 3.01313 3.51794 2.73480 3.23761 3.17882 16.00 0.68116 0.64410 0.76341 0.61838 0.73458 0.69040

0.20 3.07066 2.69292 3.21138 2.41512 2.95877 2.84216 17.00 0.67447 0.63789 0.75646 0.61243 0.72794 0.68404

0.25 2.81890 2.44304 2.98995 2.16058 2.74279 2.58460 18.00 0.66823 0.63209 0.74997 0.60685 0.72172 0.67810

0.30 2.61292 2.23712 2.80830 1.95693 2.55697 2.37980 19.00 0.66240 0.62666 0.74388 0.60162 0.71588 0.67252

0.35 2.43981 2.06597 2.65091 1.79337 2.39134 2.21105 20.00 0.65693 0.62154 0.73816 0.59669 0.71037 0.66726

0.40 2.29075 1.92334 2.51065 1.66037 2.24318 2.06776 22.00 0.64690 0.61213 0.72764 0.58763 0.70023 0.65758

0.45 2.16224 1.80327 2.38459 1.55477 2.11541 1.94851 24.00 0.63789 0.60366 0.71815 0.57946 0.69106 0.64885

0.50 2.04953 1.70010 2.26971 1.46617 1.99813 1.84446 26.00 0.62972 0.59595 0.70952 0.57202 0.68271 0.64090

0.55 1.95195 1.61441 2.16674 1.39451 1.89930 1.75558 28.00 0.62226 0.58889 0.70161 0.56520 0.67504 0.63360

0.60 1.86605 1.54091 2.07594 1.33476 1.81087 1.67890 30.00 0.61539 0.58238 0.69431 0.55892 0.66796 0.62686

0.65 1.78818 1.47513 1.98892 1.28337 1.73257 1.61072 32.00 0.60903 0.57635 0.68753 0.55309 0.66138 0.62061

0.70 1.72178 1.41999 1.91436 1.23551 1.66455 1.55031 34.00 0.60312 0.57073 0.68121 0.54766 0.65524 0.61478

0.75 1.65929 1.37300 1.84852 1.20229 1.60439 1.49761 36.00 0.59759 0.56548 0.67529 0.54258 0.64949 0.60931

0.80 1.60494 1.33073 1.78631 1.17002 1.55070 1.45110 38.00 0.59240 0.56054 0.66973 0.53781 0.64408 0.60418

0.85 1.55686 1.29232 1.72920 1.14143 1.50289 1.40910 40.00 0.58752 0.55589 0.66448 0.53332 0.63898 0.59934

0.90 1.51240 1.25832 1.67829 1.11621 1.46053 1.37133 45.00 0.57644 0.54534 0.65254 0.52312 0.62737 0.58833

0.95 1.47034 1.22810 1.63246 1.09377 1.42258 1.33729 50.00 0.56668 0.53604 0.64199 0.51413 0.61711 0.57861

1.00 1.43362 1.20145 1.59027 1.07374 1.38837 1.30653 55.00 0.55798 0.52774 0.63256 0.50610 0.60793 0.56991

1.10 1.37133 1.15548 1.51577 1.03944 1.32896 1.25347 60.00 0.55013 0.52025 0.62402 0.49886 0.59963 0.56206

1.20 1.31826 1.11677 1.45325 1.01103 1.27991 1.20908 65.00 0.54299 0.51344 0.61625 0.49228 0.59207 0.55490

1.30 1.27062 1.08418 1.40017 0.98697 1.23883 1.17135 70.00 0.53646 0.50720 0.60911 0.48625 0.58513 0.54834

1.40 1.22939 1.05646 1.35392 0.96639 1.20398 1.13910 75.00 0.53043 0.50144 0.60251 0.48069 0.57872 0.54228

1.50 1.19490 1.03255 1.31359 0.94854 1.17400 1.11125 80.00 0.52484 0.49611 0.59639 0.47554 0.57277 0.53665

1.60 1.16501 1.01162 1.27866 0.93287 1.14788 1.08699 85.00 0.51964 0.49114 0.59068 0.47074 0.56722 0.53141

1.70 1.13781 0.99300 1.24793 0.91894 1.12498 1.06562 90.00 0.51477 0.48650 0.58533 0.46626 0.56202 0.52651

1.80 1.11370 0.97644 1.22074 0.90644 1.10478 1.04662 95.00 0.51020 0.48213 0.58031 0.46205 0.55714 0.52190

1.90 1.09194 0.96167 1.19648 0.89514 1.08683 1.02962 100.00 0.50590 0.47803 0.57557 0.45808 0.55253 0.51755

2.00 1.07234 0.94835 1.17467 0.88486 1.07074 1.01432 125.00 0.48752 0.46050 0.55527 0.44117 0.53284 0.49897

2.20 1.03854 0.92521 1.13684 0.86676 1.04303 0.98788 150.00 0.47293 0.44658 0.53909 0.42774 0.51715 0.48418

2.40 1.01027 0.90560 1.10550 0.85129 1.01997 0.96570 175.00 0.46087 0.43509 0.52569 0.41667 0.50416 0.47195

2.60 0.98573 0.88874 1.07923 0.83780 1.00027 0.94695 200.00 0.45064 0.42535 0.51428 0.40728 0.49312 0.46156

2.80 0.96481 0.87404 1.05677 0.82584 0.98341 0.93065

3.00 0.94665 0.86104 1.03721 0.81515 0.96864 0.91637

3.20 0.93065 0.84944 1.02003 0.80548 0.95557 0.90370

3.40 0.91628 0.83898 1.00480 0.79668 0.94383 0.89237

3.60 0.90328 0.82948 0.99119 0.78860 0.93324 0.88214

3.80 0.89152 0.82078 0.97892 0.78113 0.92362 0.87280

4.00 0.88085 0.81276 0.96779 0.77420 0.91479 0.86426

4.50 0.85773 0.79513 0.94394 0.75877 0.89555 0.84562

5.00 0.83860 0.78017 0.92431 0.74549 0.87939 0.82993

5.50 0.82240 0.76720 0.90769 0.73383 0.86546 0.81644

6.00 0.80838 0.75577 0.89337 0.72344 0.85324 0.80462

6.50 0.79602 0.74555 0.88082 0.71410 0.84237 0.79410

7.00 0.78501 0.73633 0.86963 0.70559 0.83258 0.78462

7.50 0.77507 0.72794 0.85955 0.69781 0.82366 0.77601

8.00 0.76606 0.72023 0.85041 0.69062 0.81549 0.76812

8.50 0.75782 0.71310 0.84204 0.68395 0.80794 0.76084

9.00 0.75024 0.70648 0.83432 0.67774 0.80093 0.75409

9.50 0.74321 0.70031 0.82717 0.67192 0.79438 0.74778

10.00 0.73665 0.69451 0.82050 0.66645 0.78824 0.74187

11.00 0.72479 0.68392 0.80837 0.65642 0.77701 0.73107

12.00 0.71427 0.67443 0.79758 0.64739 0.76692 0.72139

13.00 0.70482 0.66584 0.78786 0.63919 0.75778 0.71261

14.00 0.69624 0.65799 0.77901 0.63169 0.74942 0.70460

25
Collision integrals for the (11, 6, 8) potential function for y= 1.5

T* n* 1 - »>* nu. 2>* ft<2- 2>* n(i - 3) * ft<2- 3)* n<3 - 3> * T* ft"- »* ft(1, 2) * ft<2- ft<l. 3)* ft<2. 3)* ft<3. 3)*

0.10 3.75613 3.35381 3.87622 3.08014 3.57220 3.55354 15.00 0.69225 0.65489 0.77436 0.62905 0.74545 0.70108

0.15 3.28987 2.92393 3.41452 2.66792 3.15274 3.09443 16.00 0.68507 0.64826 0.76694 0.62268 0.73837 0.69430

0.20 2.98247 2.62849 3.12760 2.36675 2.88633 2.77643 17.00 0.67842 0.64208 0.76005 0.61675 0.73178 0.68799

0.25 2.74531 2.39261 2.91639 2.12673 2.68263 2.53312 18.00 0.67222 0.63632 0.75361 0.61120 0.72561 0.68208

0.30 2.55300 2.19824 2.74485 1.93265 2.50758 2.33780 19.00 0.66643 0.63091 0.74758 0.60600 0.71981 0.67654

0.35 2.38866 2.03560 2.59602 1.77572 2.35110 2.17671 20.00 0.66099 0.62581 0.74190 0.60109 0.71434 0.67132

0.40 2.24759 1.89925 2.46358 1.64724 2.21018 2.03945 22.00 0.65102 0.61645 0.73147 0.59206 0.70427 0.66170

0.45 2.12564 1.78262 2.34252 1.54530 2.08818 1.92605 24.00 0.64206 0.60801 0.72206 0.58391 0.69517 0.65302

0.50 2.01882 1.68610 2.23600 1.45918 1.97620 1.82539 26.00 0.63394 0.60034 0.71349 0.57650 0.68688 0.64511

0.55 1.92490 1.60113 2.13552 1.38860 1.87982 1.73941 28.00 0.62651 0.59330 0.70564 0.56970 0.67926 0.63785

0.60 1.84201 1.53084 2.04948 1.33072 1.79587 1.66538 30.00 0.61968 0.58682 0.69838 0.56344 0.67222 0.63115

0.65 1.76832 1.46785 1.96758 1.28038 1.71970 1.59938 32.00 0.61334 0.58081 0.69165 0.55762 0.66568 0.62493

0.70 1.70368 1.41321 1.89382 1.23734 1.65331 1.54094 34.00 0.60745 0.57521 0.68538 0.55221 0.65958 0.61912

0.75 1.64497 1.36640 1.82965 1.20043 1.59495 1.48913 36.00 0.60195 0.56997 0.67949 0.54714 0.65386 0.61368

0.80 1.59061 1.32605 1.77112 1.16868 1.54272 1.44370 38.00 0.59678 0.56505 0.67397 0.54238 0.64848 0.60857

0.85 1.54425 1.28888 1.71597 1.14072 1.49608 1.40299 40.00 0.59192 0.56041 0.66875 0.53789 0.64340 0.60375

0.90 1.50176 1.25550 1.66609 1.11576 1.45438 1.36602 45.00 0.58087 0.54988 0.65688 0.52770 0.63185 0.59278

0.95 1.46228 1.22555 1.62112 1.09368 1.41727 1.33277 50.00 0.57115 0.54060 0.64639 0.51872 0.62163 0.58309

1.00 1.42503 1.19906 1.58028 1.07383 1.38373 1.30261 55.00 0.56247 0.53231 0.63700 0.51070 0.61249 0.57443

1.10 1.36309 1.15405 1.50789 1.03993 1.32560 1.25043 60.00 0.55464 0.52483 0.62850 0.50347 0.60422 0.56659

1.20 1.31272 1.11597 1.44646 1.01185 1.27724 1.20690 65.00 0.54752 0.51803 0.62076 0.49689 0.59669 0.55946

1.30 1.26658 1.08392 1.39459 0.98811 1.23681 1.16986 70.00 0.54100 0.51179 0.61365 0.49086 0.58977 0.55291

1.40 1.22630 1.05655 1.34962 0.96772 1.20245 1.13806 75.00 0.53498 0.50604 0.60709 0.48530 0.58338 0.54687

1.50 1.19173 1.03293 1.31006 0.95005 1.17290 1.11063 80.00 0.52940 0.50071 0.60099 0.48015 0.57745 0.54125

1.60 1.16236 1.01228 1.27557 0.93454 1.14719 1.08669 85.00 0.52420 0.49574 0.59530 0.47535 0.57191 0.53602

1.70 1.13620 0.99400 1.24541 0.92076 1.12459 1.06562 90.00 0.51934 0.49110 0.58996 0.47086 0.56673 0.53112

1.80 1.11225 0.97760 1.21860 0.90839 1.10462 1.04689 95.00 0.51478 0.48674 0.58495 0.46664 0.56186 0:52652

1.90 1.09113 0.96297 1.19476 0.89721 1.08687 1.03011 100.00 0.51048 0.48263 0.58023 0.46268 0.55726 0.52218

2.00 1.07176 0.94977 1.17329 0.88703 1.07097 1.01501 125.00 0.49211 0.46508 0.55999 0.44573 0.53760 0.50362

2.20 1.03844 0.92689 1.13615 0.86912 1.04361 0.98888 150.00 0.47751 0.45115 0.54383 0.43228 0.52192 0.48883

2.40 1.01058 0.90753 1.10520 0.85380 1.02085 0.96692 175.00 0.46545 0.43964 0.53045 0.42118 0.50894 0.47660

2.60 0.98666 0.89084 1.07921 0.84042 1.00138 0.94838 200.00 0.45520 0.42987 0.51905 0.41176 0.49790 0.46619

2.80 0.96578 0.87629 1.05704 0.82859 0.98463 0.93231

3.00 0.94782 0.86343 1.03777 0.81799 0.97003 0.91818

3.20 0.93205 0.85193 1.02081 0.80842 0.95711 0.90564

3.40 0.91793 0.84158 1.00577 0.79970 0.94553 0.89442

3.60 0.90513 0.83216 0.99231 0.79169 0.93504 0.88430

3.80 0.89349 0.82355 0.98019 0.78429 0.92552 0.87507

4.00 0.88290 0.81561 0.96918 0.77742 0.91680 0.86661

4.50 0.86011 0.79815 0.94561 0.76212 0.89775 0.84817

5.00 0.84114 0.78332 0.92618 0.74895 0.88177 0.83263

5.50 0.82508 0.77046 0.90977 0.73738 0.86799 0.81927

6.00 0.81121 0.75913 0.89558 0.72708 0.85590 0.80756

6.50 0.79898 0.74900 0.88317 0.71780 0.84514 0.79714

7.00 0.78808 0.73986 0.87211 0.70937 0.83545 0.78775

7.50 0.77825 0.73152 0.86214 0.70163 0.82663 0.77922

8.00 0.76931 0.72387 0.85309 0.69450 0.81853 0.77140

8.50 0.76113 0.71681 0.84480 0.68788 0.81106 0.76419

9.00 0.75361 0.71024 0.83717 0.68170 0.80412 0.75749

9.50 0.74664 0.70410 0.83009 0.67592 0.79763 0.75124

10.00 0.74015 0.69835 0.82348 0.67049 0.79155 0.74538

11.00 0.72838 0.68783 0.81148 0.66051 0.78042 0.73466

12.00 0.71794 0.67840 0.80079 0.65154 0.77043 0.72506

13.00 0.70856 0.66986 0.79116 0.64339 0.76137 0.71636

14.00 0.70004 0.66207 0.78240 0.63593 0.75308 0.70840

26
Collision integrals for the {11, 6, 8) potential function for y = 2.0 T* ftu- »* ft<l- 2>* n<2. 2)* 2. 3)* n<3- 3>* T* ft(1 - »* na- 2) * n(2> 2)* n«. 3>* n<2- 3)* n<3- 3>*

0.10 3.61090 3.24060 3.75059 2.98435 3.46237 3.43771 15.00 0.69577 0.65865 0.77755 0.63295 0.74886 0.70461

0.15 3.18356 2.84024 3.31703 2.60011 3.06731 3.00893 16.00 0.68864 0.65205 0.77019 0.62660 0.74184 0.69787

0.20 2.89129 2.56319 3.04341 2.31961 2.81649 2.71182 17.00 0.68203 0.64591 0.76334 0.62070 0.73529 0.69159

0.25 2.67237 2.34294 2.84460 2.09366 2.62467 2.48258 18.00 0.67587 0.64017 0.75696 0.61517 0.72916 0.68572

0.30 2.49195 2.16017 2.68337 1.90909 2.45982 2.29742 19.00 0.67011 0.63478 0.75097 0.60998 0.72340 0.68021

0.35 2.33820 2.00584 2.54283 1.75756 2.31115 2.14236 20.00 0.66470 0.62971 0.74533 0.60509 0. 717% 0.67501

0.40 2.20544 1.87586 2.41799 1.63590 2.17993 2.01388 22.00 0.65478 0.62038 0.73496 0.59608 0.70795 0.66544

0.45 2.08980 1.76463 2.30412 1.53461 2.06276 1.90227 24.00 0.64586 0.61197 0.72561 0. 587% 0.69890 0.65680

0.50 1.98826 1.67145 2.20167 1.45321 1.95622 1.80784 26.00 0.63778 0.60432 0.71710 0.58057 0.69065 0.64893

0.55 1.89856 1.58917 2.10685 1.38358 1.86168 1.72423 28.00 0.63038 0.59731 0.70929 0.57379 0.68307 0.64170

0.60 1.81941 1.52037 2.02255 1.32627 1.78072 1.65181 30.00 0.62357 0.59085 0.70209 0.56753 0.67607 0.63503

0.65 1.74934 1.46070 1.94695 1.27772 1.70777 1.58862 32.00 0.61727 0.58485 0.69539 0.56173 0.66956 0.62883

0.70 1.68515 1.40648 1.87436 1.23528 1.64274 1.53178 34.00 0.61140 0.57927 0.68915 0.55632 0.66349 0.62305

0.75 1.63001 1.36028 1.81130 1.19871 1.58575 1.48118 36.00 0.60591 0.57404 0.68330 0.55126 0.65780 0.61763

0.80 1.57826 1. 32074 1.75552 1.16731 1.53504 1.43651 38.00 0.60076 0.56913 0.67780 0.54651 0.65245 0.61254

0.85 1.53132 1.28539 1.70327 1.13985 1.48950 1.39690 40.00 0.59591 0.56450 0.67261 0.54203 0.64739 0.60773

0.90 1.49059 1.25259 1.65441 1.11537 1.44869 1.36100 45.00 0.58490 0.55399 0.66080 0.53186 0.63589 0.59681

0.95 1.45328 1.22343 1.61061 1.09344 1.41209 1.32832 50.00 0.57520 0.54473 0.65036 0.52289 0.62572 0.58715

1.00 1.41796 1.19688 1.57057 1.07392 1.37930 1.29884 55.00 0.56654 0.53645 0.64101 0.51487 0.61661 0.57851

1.10 1.35618 1.15242 1.50022 1.04034 1.32236 1.24753 60.00 0.55873 0.52898 0.63255 0.50765 0.60838 0.57070

1.20 1.30625 1.11531 1.44025 1.01257 1.27475 1.20475 65.00 0.55163 0.52218 0.62484 0.50107 0.60087 0.56358

1.30 1.26291 1.08362 1.38924 0.98911 1.23487 1.16838 70.00 0.54511 0.51595 0.61776 0.49504 0.59397 0.55705

1.40 1.22341 1.05655 1.34534 0.96893 1.20097 1.13708 75.00 0.53911 0.51021 0.61122 0.48948 0.58760 0.55102

1.50 1.18893 1.03323 1.30673 0.95142 1.17186 1.11000 80.00 0.53353 0.50488 0.60514 0.48433 0.58169 0.54542

1.60 1.15969 1.01282 1.27271 0.93604 1.14650 1.08636 85.00 0.52834 0.49991 0.59947 0.47952 0.57617 0.54019

1.70 1.13422 0.99479 1.24293 0.92239 1.12420 1.06557 90.00 0.52349 0.49527 0.59416 0.47503 0.57100 0.53530

1.80 1.11107 0.97866 1.21661 0.91015 1.10446 1.04709 95.00 0.51893 0.49091 0.58916 0.47081 0.56614 0.53071

1.90 1.08994 0.96411 1.19305 0.89907 1.08689 1.03053 100.00 0.51463 0.48680 0.58445 0.46684 0.56155 0.52637

2.00 1.07120 0.95107 1.17198 0.88899 1.07116 1.01561 125.00 0.49627 0.46924 0.56426 0.44988 0.54192 0.50782

2.20 1.03828 0.92839 1.13545 0.87124 1.04409 0.98977 150.00 0.48167 0.45529 0.54814 0.43640 0.52626 0.49304

2.40 1.01077 0.90925 1.10489 0.85607 1.02156 0.96805 175.00 0.46960 0.44376 0.53476 0.42527 0.51328 0.48079

2.60 0.98732 0.89273 1.07916 0.84280 1.00237 0.94966 200.00 0.45934 0.43398 0.52338 0.41582 0.50224 0.47038

2.80 0.96674 0.87832 1.05724 0.83107 0.98574 0.93379

3.00 0.94893 0.86559 1.03823 0.82057 0.97128 0.91981

3.20 0.93323 0.85420 1.02149 0.81108 0.95848 0.90741

3.40 0.91934 0.84393 1.00661 0.80243 0.94704 0.89628

3.60 0.90675 0.83460 0.99332 0.79449 0.93668 0.88625

3.80 0.89526 0.82606 0.98132 0.78715 0.92724 0.87712

4.00 0.88477 0.81819 0.97044 0.78033 0.91860 0.86875

4.50 0.86221 0.80088 0.94709 0.76516 0.89976 0.85047

5.00 0.84341 0.78618 0.92787 0.75209 0.88393 0.83509

5.50 0.82750 0.77343 0.91165 0.74062 0.87030 0.82185

6.00 0.81376 0.76218 0.89761 0.73039 0.85834 0.81025 - 6.50 0.80166 0.75214 0.88530 0.72118 0.84768 0.79992

7.00 0.79086 0.74307 0.87437 0.71281 0.83808 0.79062 s

7.50 0.78112 0.73480 0.86451 0.70513 0.82935 0.78216

8.00 0.77227 0.72720 0.85555 0.69804 0.82134 0.77441

8.50 0.76415 0.72018 0.84734 0.69146 0.81393 0.76726

9.00 0.75668 0.71366 0.83978 0.68533 0.80705 0.76061

9.50 0.74977 0.70757 0.83277 0.67958 0.80063 0.75441

10.00 0.74334 0.70186 0.82623 0.67418 0.79461 0.74860

11.00 0.73165 0.69141 0.81434 0.66426 0.78357 0.73797

12.00 0.72128 0.68204 0.80375 0.65533 0.77366 0.72843

13.00 0.71197 0.67355 0.79420 0.64722 0.76467 0.71979

14.00 0.70351 0.66579 0.78552 0.63979 0.75644 0.71188

27
Collision integrals for the (11, 6, 8) potential function for y — 2.5 T* ft' 1 - »* nu- 2> * na* 3) * n«. »>* ft<3- T* f fl<2 - 2) * n°- 3> * n<2- 3)* ft< 3- 3)*

0.10 3.47076 3.13025 3.62685 2.89253 3.35751 3.32560 15.00 0.69899 0.66209 0.78044 0.63651 0.75198 0.70783

0.15 3.07381 2.75802 3.22212 2.53556 2.98702 2.92659 16.00 0.69190 0.65552 0.77314 0.63019 0.74501 0.70113

0.20 2.80593 2.49987 2.96357 2.27444 2.75102 2.64930 17.00 0.68533 0.64941 0.76635 0.62431 0.73850 0.69489

0.25 2.60230 2.29569 2.77764 2.06163 2.56984 2.43346 18.00 0.67920 0.64369 0.76001 0.61880 0.73241 0.68906

0.30 2.43255 2.12340 2.62509 1.88599 2.41401 2.25786 19.00 0.67347 0.63833 0.75406 0.61363 0.72669 0.68357

0.35 2.28949 1.97735 2.49279 1.74119 2.27498 2.11073 20.00 0.66809 0.63328 0.74847 0.60875 0.72129 0.67841

0.40 2.16450 1.85300 2.37423 1.62387 2.15017 1.98797 22.00 0.65822 0.62399 0.73817 0.59978 0.71134 0.66889

0.45 2.05483 1.74725 2.26662 1.52711 2.03552 1.88240 24.00 0.64935 0.61561 0.72888 0.59168 0.70235 0.66029

0.50 1.95861 1.65718 2.16905 1.44659 1.93624 1.79006 26.00 0.64130 0.60798 0.72043 0.58430 0.69414 0.65245

0.55 1.87243 1.57794 2.08019 1.37877 1.84453 1.70953 28.00 0.63393 0.60100 0.71267 0.57754 0.68660 0.64525

0.60 1.79707 1.51120 1.99791 1.32179 1.76625 1.63856 30.00 0.62715 0.59455 0.70550 0.57130 0.67963 0.63861

0.65 1.72956 1.45237 1.92597 1.27473 1.69579 1.57784 32.00 0.62087 0.58857 0.69884 0.56551 0.67316 0.63243

0.70 1.66831 1.40079 1.85661 1.23325 1.63264 1.52289 34.00 0.61502 0.58300 0.69263 0.56011 0.66712 0.62667

0.75 1.61535 1.35566 1.79517 1.19732 1.57707 1.47376 36.00 0.60955 0.57778 0.68682 0.55506 0.66145 0.62128

0.80 1.56531 1.31536 1.74064 1.16597 1.52774 1.42967 38.00 0.60442 0.57288 0.68134 0.55031 0.65612 0.61620

0.85 1.52009 1.28125 1.69021 1.13893 1.48309 1.39098 40.00 0.59958 0.56827 0.67618 0.54584 0.65109 0.61142

0.90 1.48065 1.24985 1.64328 1.11487 1.44318 1.35603 45.00 0.58860 0.55778 0.66443 0.53568 0.63963 0.60052

0.95 1.44339 1.22110 1.60045 1.09326 1.40732 1.32413 50.00 0.57893 0.54852 0.65403 0.52671 0.62949 0.59089

1.00 1.41010 1.19519 1.56146 1.07393 1.37509 1.29519 55.00 0.57029 0.54026 0.64472 0.51870 0.62042 0.58227

1.10 1.34980 1.15083 1.49283 1.04065 1.31926 1.24472 60.00 0.56249 0.53279 0.63630 0.51148 0.61221 0.57448

1.20 1.29968 1.11447 1.43418 1.01321 1.27239 1.20269 65.00 0.55540 0.52600 0.62861 0.50490 0.60472 0.56737

1.30 1.25846 1.08322 1.38416 0.98997 1.23304 1.16692 70.00 0.54889 0.51978 0.62156 0.49887 0.59784 0.56085

1.40 1.22040 1.05653 1.34120 0.97002 1.19962 1.13611 75.00 0.54289 0.51403 0.61503 0.49331 0.59148 0.55483

1.50 1.18681 1.03344 1.30348 0.95266 1.17084 1.10938 80.00 0.53733 0.50870 0.60897 0.48815 0.58558 0.54924

1.60 1.15723 1.01331 1.26998 0.93740 1.14581 1.08604 85.00 0.53214 0.50374 0.60332 0.48335 0.58007 0.54402

1.70 1.13213 0.99546 1.24061 0.92388 1.12381 1.06548 90.00 0.52729 0.49909 0.59802 0.47885 0.57491 0.53913

1.80 1.10963 0.97954 1.21469 0.91175 1.10430 1.04724 95.00 0.52273 0.49473 0.59303 0.47463 0.57006 0.53454

1.90 1.08899 0.96519 1.19150 0.90077 1.08691 1.03089 100.00 0.51844 0.49062 0.58833 0.47065 0.56548 0.53021

2.00 1.07048 0.95223 1.17066 0.89078 1.07134 1.01613 125.00 0.50008 0.47305 0.56818 0.45366 0.54587 0.51167

2.20 1.03797 0.92973 1.13473 0.87318 1.04453 0.99058 150.00 0.48547 0.45908 0.55207 0.44016 0.53022 0.49688

2.40 1.01094 0.91081 1.10459 0.85810 1.02219 0.96918 175.00 0.47339 0.44753 0.53871 0.42900 0.51724 0.48463

2.60 0.98776 0.89446 1.07915 0.84500 1.00321 0.95087 200.00 0.46312 0.43772 0.52733 0.41953 0.50619 0.47421

2.80 0.96760 0.88017 1.05743 0.83335 0.98682 0.93512

3.00 0.94988 0.86755 1.03862 0.82292 0.97247 0.92130

3.20 0.93433 0.85627 1.02208 0.81352 0.95978 0.90901

3.40 0.92056 0.84609 1.00739 0.80494 0.94842 0.89800

3.60 0.90819 0.83684 0.99424 0.79706 0.93817 0.88806

3.80 0.89686 0.82835 0.98238 0.78978 0.92883 0.87900

4.00 0.88647 0.82055 0.97159 0.78301 0.92027 0.87070

4.50 0.86410 0.80339 0.94845 0.76796 0.90161 0.85258

5.00 0.84553 0.78881 0.92943 0.75498 0.88591 0.83734

5.50 0.82975 0.77615 0.91335 0.74358 0.87241 0.82421

6.00 0.81610 0.76499 0.89947 0.73343 0.86056 0.81270

6.50 0.80411 0.75501 0.88727 0.72428 0.85000 0.80246

7.00 0.79341 0.74601 0.87643 0.71596 0.84048 0.79323

7.50 0.78375 0.73779 0.86666 0.70832 0.83183 0.78484

8.00 0.77497 0.73025 0.85779 0.70128 0.82388 0.77715

8.50 0.76692 0.72328 0.84966 0.69474 0.81654 0.77005

9.00 0.75950 0.71679 0.84216 0.68864 0.80972 0.76346

9.50 0.75263 0.71074 0.83521 0.68292 0.80335 0.75730

10.00 0.74624 0.70507 0.82872 0.67755 0.79737 0.75153

11.00 0.73465 0.69468 0.81693 0.66768 0.78643 0.74097

12.00 0.72435 0.68536 0.80643 0.65880 0.77660 0.73150

13.00 0.71508 0.67691 0.79697 0.65072 0.76768 0.72292

14.00 0.70668 0.66919 0.78835 0.64333 0.75951 0.71506

28
Collision integrals for the (11, 6, 8) potential function for y = 3.0 T* n(i - «• ft”* 21 * n(2- 2) * ft«» 3>* fl< 2- 3) * ft<3. 3)* T* tt(1 - 2»* a' 2- 2) * na> 3) * n<2 - 3>* 3>*

0.10 3.33137 3.02013 3.50345 2.80304 3.25516 3.21589 15.00 0.70197 0.66527 0.78312 0.63981 0.75487 0.71081

0.15 2.96693 2.67941 3.12450 2.47289 2.90598 2.84701 16.00 0.69491 0.65873 0.77587 0.63351 0.74794 0.70415

0.20 2.72166 2.43925 2.88453 2.22858 2.68342 2.58710 17.00 0.68838 0.65264 0.76913 0.62764 0.74147 0.69794

0.25 2.53190 2.24751 2.70840 2.02898 2.51451 2.38457 18.00 0.68228 0.64695 0.76283 0.62216 0.73542 0.69214

0.30 2.37623 2.08614 2.56641 1.86295 2.36904 2.21912 19.00 0.67658 0.64160 0.75693 0.61700 0.72973 0.68668

0.35 2.24074 1.94844 2.44254 1.72614 2.23793 2.08165 20.00 0.67122 0.63657 0.75137 0.61214 0.72437 0.68154

0.40 2.12357 1.83028 2.33126 1.61272 2.11882 l .%382 22.00 0.66140 0.62732 0.74114 0.60319 0.71447 0.67207

0.45 2.01993 1.72924 2.22945 1.51709 2.01002 1.85994 24.00 0.65256 0. 618% 0.73190 0.59511 0.70553 0.66351

0.50 1.92870 1.64108 2.13615 1.43973 1.91627 1.77258 26.00 0.64454 0.61136 0.72350 0.58775 0.69736 0.65570

0.55 1.84743 1.56629 2.05191 1.37398 1.82818 1.69511 28.00 0.63721 0.60440 0.71578 0.58100 0.68986 0.64854

0.60 1.77495 1.50044 1.97292 1.31799 1.75119 1.62664 30.00 0.63045 0.59797 0.70865 0.57478 0.68293 0.64192

0.65 1.71029 1.44430 1.90393 1.27150 1.68427 1.56699 32.00 0.62419 0.59200 0.70203 0.56900 0.67648 0.63577

0.70 1.65268 1.39511 1.83999 1.23134 1.62310 1.51434 34.00 0.61836 0.58644 0.69586 0.56361 0.67046 0.63003

0.75 1.59908 1.34980 1.77844 1.19570 1.56853 1.46629 36.00 0.61291 0.58124 0.69007 0.55856 0.66482 0.62465

0.80 1.55313 1.31078 1.72505 1.16477 1.52060 1.42331 38.00 0.60779 0.57635 0.68462 0.55382 0.65951 0.61959

0.85 1.50943 1.27685 1.67759 1.13794 1.47708 1.38516 40.00 0.60297 0.57174 0.67948 0.54936 0.65450 0.61482

0.90 1.46922 1.24690 1.63261 1.11429 1.43791 1.35111 45.00 0.59202 0.56127 0.66778 0.53920 0.64308 0.60395

0.95 1.43430 1.21885 1.59074 1.09308 1.40277 1.32011 50.00 0.58237 0.55203 0.65742 0.53024 0.63298 0.59434

1.00 1.40190 1.19315 1.55245 1.07387 1.37099 1.29166 55.00 0.57375 0.54377 0.64815 0.52224 0.62393 0.58574

1.10 1.34357 1.14923 1.48592 1.04096 1.31621 1.24211 60.00 0.56596 0.53631 0.63975 0.51501 0.61574 0.57797

1.20 1.29400 1.11350 1.42835 1.01376 1.27020 1.20067 65.00 0.55888 0.52953 0.63209 0.50844 0.60827 0.57088

1.30 1.25350 1.08291 1.37936 0.99076 1.23131 1.16550 70.00 0.55239 0.52330 0.62506 0.50240 0.60141 0.56436

1.40 1.21753 1.05644 1.33706 0.97101 1.19832 1.13518 75.00 0.54639 0.51756 0.61855 0.49684 0.59507 0.55835

1.50 1.18421 1.03359 1.30037 0.95379 1.16989 1.10879 80.00 0.54083 0.51223 0.61251 0.49168 0.58918 0.55276

1.60 - 1.15504 1.01369 1.26748 0.93866 1.14515 1.08571 85.00 0.53565 0.50727 0.60687 0.48687 0.58368 0.54755

1.70 1.12997 0.99605 1.23842 0.92523 1.12343 1.06539 90.00 0.53080 0.50262 0.60158 0.48237 0.57852 0.54267

1.80 1.10801 0.98032 1.21281 0.91321 1.10414 1.04735 95.00 0.52625 0.49825 0.59661 0.47815 0.57368 0.53808

1.90 1.08807 0.96617 1.19000 0.90233 1.08693 1.03119 100.00 0.52195 0.49414 0.59191 0.47416 0.56911 0.53375

2.00 1.06958 0.95330 1.16943 0.89242 1.07150 1.01661 125.00 0.50360 0.47656 0.57179 0.45715 0.54952 0.51522

2.20 1.03769 0.93098 1.13394 0.87496 1.04494 0.99132 150.00 0.48898 0.46257 0.55570 0.44362 0.53387 0.50043

2.40 1.01099 0.91222 1.10430 0.86001 1.02282 0.97012 175.00 0.47689 0.45101 0.54235 0.43245 0.52089 0.48817

2.60 0.98812 0.89605 1.07911 0.84700 1.00399 0.95198 200.00 0.46661 0.44118 0.53097 0.42295 0.50984 0.47774

2.80 0.96833 0.88188 1.05760 0.83545 0.98777 0.93635

3.00 0.95078 0.86935 1.03897 0.82511 0.97355 0.92267

3.20 0.93533 0.85817 1 . 02262

" 0.81576 0.96097 0.91051

3.40 0.92165 0.84808 1.00809 0.80725 0.94971 0.89959

3.60 0.90944 0.83888 0.99507 0.79943 0.93955 0.88972

3.80 0.89830 0.83048 0.98332 0.79220 0.93029 0.88074

4.00 0.88805 0.82273 0.97266 0.78549 0.92181 0.87251

4.50 0.86583 0.80570 0.94972 0.77053 0.90331 0.85454

5.00 0.84748 0.79123 0.93087 0.75764 0.88775 0.83942

5.50 0.83178 0.77866 0.91494 0.74632 0.87436 0.82639

6.00 0.81824 0.76758 0.90118 0.73623 0.86261 0.81497

6.50 0.80636 0.75767 0.88909 0.72714 0.85214 0.80481

7.00 0.79575 0.74872 0.87833 0.71886 0.84270 0.79565

7.50 0.78617 0.74056 0.86866 0.71128 0.83411 0.78732

8.00 0.77746 0.73306 0.85986 0.70427 0.82623 0.77968

8.50 0.76948 0.72613 0.85180 0.69777 0.81895 0.77263

9.00 0.76211 0.71969 0.84436 0.69170 0.81219 0.76608

9.50 0.75528 0.71367 0.83746 0.68601 0.80587 0.75997

10.00 0.74893 0.70803 0.83103 0.68066 0.79993 0.75424

11.00 0.73741 0.69769 0.81933 0.67084 0.78907 0.74375

12.00 0.72717 0.68842 0.80892 0.66200 0.77931 0.73434

13.00 0.71796 0.68002 0.79952 0 . 653% 0.77045 0.72581

14.00 0.70961 0.67234 0.79097 0.64660 0.76234 0.71800

29

498-740 0 - 74 -3
Collision integrals for the (12, 6, 8) potential function for y=0.

T* ft(1 - “* nu - 2) * n< 2 - 2) * nu’ 3)* n(z - 3) * n<3> 3) * T* ft”- «* a(i - 2) * n(2 - 2) * n°* 3) * n(2 - 3)* ft«. 3>*

0.10 4.01115 3.55199 4.09985 3.24013 3.76095 3.75071 15.00 0.69484 0.65799 0.77568 0.63259 0.74708 0.70357

0.15 3.48163 3.06637 3.58728 2.77507 3.29531 3.23378 16.00 0.68776 0.65146 0.76834 0.62634 0.74010 0.69689

0.20 3.13071 2.73180 3.26779 2.44003 3.00151 2.88047 17.00 0.68120 0.64540 0.76153 0.62053 0.73361 0.69068

0.25 2.86555 2.47017 3.03420 2.17636 2.77534 2.61236 18.00 0.67510 0.63974 0.75518 0.61509 0.72753 0.68487

0.30 2.64977 2.25673 2.84418 1.96635 2.58080 2.39949 19.00 0.66940 0.63443 0.74922 0.60999 0.72182 0.67942

0.35 2.46890 2.08023 2.67943 1.79916 2.40943 2.22531 20.00 0.66404 0.62944 0.74362 0.60519 0.71644 0.67429

0.40 2.31460 1.93339 2.53361 1.66558 2.25709 2.08054 22.00 0.65424 0.62025 0.73333 0.59635 0.70654 0.66485

0.45 2.18161 1.81062 2.40224 1.55770 2.12451 1.95739 24.00 0.64544 0.61199 0.72406 0.58838 0.69760 0.65632

0.50 2.06622 1.70732 2.28570 1.46956 2.00652 1.85274 26.00 0.63746 0.60447 0.71564 0.58114 0.68945 0.64857

0.55 1.96539 1.61930 2.17949 1.39698 1.90515 1.76179 28.00 0.63017 0.59759 0.70791 0.57450 0.68198 0.64145

0.60 1.87674 1.54464 2.08528 1.33662 1.81481 1.68372 30.00 0.62346 0.59125 0.70078 0.56837 0.67507 0.63488

0.65 1.79877 1.48016 1.99903 1.28537 1.73619 1.61491 32.00 0.61726 0.58537 0.69417 0.56270 0.66866 0.62879

0.70 1.72919 1.42401 1.92299 1.24180 1.66782 1.55422 34.00 0.61149 0.57989 0.68800 0.55741 0.66268 0.62310

0.75 1.66762 1.37552 1.85378 1.20452 1.60671 1.50116 36.00 0.60609 0.57477 0.68223 0.55247 0.65708 0.61778

0.80 1.61219 1.33283 1.79047 1.17207 1.55248 1.45401 38.00 0.60103 0.56996 0.67681 0.54782 0.65181 0.61278

0.85 1.56227 1.29484 1.73368 1.14355 1.50459 1.41169 40.00 0.59627 0.56544 0.67169 0.54345 0.64684 0.60806

0.90 1.51761 1.26102 1.68278 1.11835 1.46201 1.37368 45.00 0.58547 0.55516 0.66006 0.53351 0.63554 0.59734

0.95 1.47696 1.23107 1.63639 1.09599 1.42392 1.33949 50.00 0.57596 0.54610 0.64978 0.52476 0.62555 0.58787

1.00 1.43969 1.20425 1.59334 1.07607 1.38952 1.30873 55.00 0.56748 0.53801 0.64059 0.51695 0.61662 0.57941

1.10 1.37502 1.15782 1.51806 1.04193 1.32994 1.25556 60.00 0.55984 0.53072 0.63229 0.50991 0.60854 0.57177

1.20 1.32061 1.11910 1.45525 1.01359 1.28089 1.21101 65.00 0.55288 0.52409 0.62472 0.50350 0.60119 0.56480

1.30 1.27370 1.08666 1.40187 0.98968 1.23986 1.17328 70.00 0.54652 0.51802 0.61777 0.49763 0.59444 0.55842

1.40 1.23346 1.05912 1.35536 0.96922 1.20500 1.14106 75.00 0.54065 0.51242 0.61136 0.49222 0.58821 0.55252

1.50 1.19878 1.03525 1.31498 0.95150 1.17503 1.11327 80.00 0.53520 0.50723 0.60540 0.48721 0.58242 0.54705

1.60 1.16815 1.01430 1.27999 0.93593 1.14896 1.08906 85.00 0.53014 0.50239 0.59985 0.48254 0.57703 0.54196

1.70 1.14085 0.99581 1.24930 0.92211 1.12614 1.06774 90.00 0.52540 0.49787 0.59464 0.47817 0.57198 0.53718

1.80 1.11646 0.97937 1.22211 0.90971 1.10603 1.04879 95.00 0.52095 0.49362 0.58976 0.47407 0.56723 0.53270

1.90 1.09473 0.96466 1.19780 0.89850 1.08816 1.03186 100.00 0.51676 0.48962 0.58515 0.47021 0.56276 0.52847

2.00 1.07533 0.95143 1.17592 0.88831 1.07214 1.01663 125.00 0.49887 0.47256 0.56542 0.45374 0.54361 0.51040

2.20 1.04169 0.92843 1.13812 0.87040 1.04456 0.99033 150.00 0.48466 0.45900 0.54969 0.44066 0.52836 0.49601

2.40 1.01325 0.90897 1.10695 0.85509 1.02157 0.96831 175.00 0.47292 0.44781 0.53666 0.42987 0.51573 0.48411

2.60 0.98897 0.89224 1.08077 0.84174 1.00206 0.94966 200.00 0.46296 0.43832 0.52557 0.42071 0.50500 0.47399

2.80 0.96807 0.87766 1.05835 0.82993 0.98531 0.93349

3.00 0.94999 0.86480 1.03888 0.81937 0.97067 0.91932

3.20 0.93406 0.85332 1.02179 0.80983 0.95769 0.90678

3.40 0.91980 0.84298 1.00665 0.80116 0.94605 0.89556

3.60 0.90692 0.83359 0.99313 0.79319 0.93557 0.88542

3.80 0.89524 0.82500 0.98093 0.78583 0.92605 0.87619

4.00 0.88460 0.81708 0.96991 0.77901 0.91730 0.86776

4.50 0.86168 0.79968 0.94624 0.76382 0.89829 0.84933

5.00 0.84275 0.78493 0.92681 0.75076 0.88233 0.83385

5.50 0.82675 0.77216 0.91035 0.73931 0.86858 0.82056

6.00 0.81288 0.76091 0.89620 0.72912 0.85654 0.80891

6.50 0.80067 0.75087 0.88380 0.71995 0.84584 0.79856

7.00 0.78979 0.74181 0.87275 0.71161 0.83620 0.78924

7.50 0.78001 0.73356 0.86281 0.70398 0.82743 0.78078

8.00 0.77114 0.72599 0.85380 0.69694 0.81939 0.77303

8.50 0.76303 0.71901 0.84556 0.69042 0.81198 0.76588

9.00 0.75555 0.71252 0.83796 0.68434 0.80509 0.75925

9.50 0.74864 0.70646 0.83092 0.67864 0.79867 0.75307

10.00 0.74220 0.70079 0.82436 0.67329 0.79265 0.74727

11.00 0.73055 0.69041 0.81244 0.66348 0.78163 0.73669

12.00 0.72023 0.68112 0.80184 0.65466 0.77175 0.72720

13.00 0.71095 0.67271 0.79230 0.64666 0.76280 0.71862

14.00 0.70254 0.66504 0.78363 0.63933 0.75461 0.71078

30
Collision integrals for the (12, 6, 8) potential function for y=0.5

T* aa - 2) * n«. 2) * n(2 - 3) * n<3- 3)* T* n°* a”- 2** n< 2- 2> * nu - 3) * n< 2- 3>* f|(3. 3)*

0.10 3.84119 3.41193 3.94875 3.12192 3.62805 3.61044 15.00 0.69998 0.66347 0.78028 0.63827 0.75203 0.70869

0.15 3.34474 2.96102 3.46511 2.69004 3.18812 3.12838 16.00 0.69297 0.65700 0.77303 0.63206 0.74513 0.70208

0.20 3.02046 2.65024 3.16235 2.38006 2.91202 2.79932 17.00 0.68647 0.65098 0.76630 0.62628 0.73871 0.69593

0.25 2.77350 2.40737 2.94312 2.13338 2.69940 2.54771 18.00 0.68042 0.64536 0.76002 0.62088 0.73270 0.69018

0.30 2.57415 2.20826 2.76528 1.93776 2.52049 2.34943 19.00 0.67476 0.64008 0.75414 0.61581 0.72705 0.68478

0.35 2.40533 2.04246 2.61152 1.77875 2.35968 2.18478 20.00 0.66945 0.63512 0.74860 0.61103 0.72173 0. 67%9

0.40 2.26084 1.90497 2.47620 1.64878 2.21499 2.04464 22.00 0.65972 0.62600 0.73842 0.60224 0.71192 0.67032

0.45 2.13612 1.78670 2.35174 1.54638 2.09136 1.92948 24.00 0.65099 0.61778 0.72925 0.59431 0.70306 0.66187

0.50 2.02658 1.68814 2.24201 1.46009 1.97775 1.82799 26.00 0.64307 0.61030 0.72091 0.58709 0.69499 0.65417

0.55 1.93176 1.60413 2.14132 1.38972 1.88104 1.74134 28.00 0.63583 0.60346 0.71326 0.58048 0.68758 0.64711

0.60 1.84797 1.53258 2.05315 1.33179 1.79599 1.66688 30.00 0.62916 0.59714 0.70620 0.57438 0.68073 0.64058

0.65 1.77284 1.46896 1.96942 1.28156 1.71955 1.60050 32.00 0.62299 0.59129 0. 69%5 0.56872 0.67437 0.63453

0.70 1.70854 1.41455 1.89569 1.23863 1.65307 1.54176 34.00 0.61725 0.58584 0.69354 0.56345 0.66844 0.62888

0.75 1.64814 1.36822 1.83141 1.20204 1.59454 1.49006 36.00 0.61189 0.58074 0.68782 0.55852 0.66288 0.62359

0.80 1.59406 1.32759 1.77188 1.17046 1.54222 1.44463 38.00 0.60686 0.57595 0.68244 0.55389 0.65765 0.61862

0.85 1.54720 1.29026 1.71629 1.14258 1.49557 1.40378 40.00 0.60212 0.57144 0.67737 0.54952 0.65271 0.61393

0.90 1.50451 1.25724 1.66670 1.11781 1.45401 1.36686 45.00 0.59137 0.56119 0.66582 0.53961 0.64148 0.60326

0.95 1.46428 1.22724 1.62147 1.09586 1.41695 1.33363 50.00 0.58190 0.55216 0.65562 0.53087 0.63156 0.59384

1.00 1.42754 1.20100 1.58045 1.07619 1.38350 1.30355 55.00 0.57345 0.54409 0.64649 0.52306 0.62267 0.58541

1.10 1.36591 1.15613 1.50788 1.04256 1.32547 1.25158 60.00 0.56583 0.53681 0.63824 0.51602 0.61464 0.57779

1.20 1.31508 1.11823 1.44658 1.01472 1.27736 1.20819 65.00 0.55890 0.53019 0.63071 0. 50%2 0.60731 0.57085

1.30 1.26876 1.08636 1.39474 0.99118 1.23713 1.17130 70.00 0.55255 0.52412 0.62380 0.50375 0.60059 0.56448

1.40 1.22843 1.05921 1.34973 0.97101 1.20299 1.13971 75.00 0.54669 0.51852 0.61742 0.49834 0.59438 0.55860

1.50 1.19427 1.03576 1.31027 0.95352 1.17360 1.11243 80.00 0.54126 0.51333 0.61149 0.49332 0.58862 0.55314

1.60 1.16503 1.01528 1.27598 0.93817 1.14803 1.08867 85.00 0.53620 0.50850 0.60596 0.48864 0.58324 0.54805

1.70 1.13874 0.99711 1.24593 0.92454 1.12560 1.06775 90.00 0.53147 0.50397 0.60078 0.48427 0.57820 0.54328

1.80 1.11500 0.98087 1.21926 0.91232 1.10579 1.04915 95.00 0.52703 0.49973 0.59591 0.48016 0.57347 0.53880

1.90 1.09386 0.96642 1.19557 0.90127 1.08819 1.03251 100.00 0.52284 0.49573 0.59132 0.47630 0.56900 0.53458

2.00 1.07465 0.95334 1.17418 0.89121 1.07243 1.01754 125.00 0.50496 0.47864 0.57165 0.45979 0.54989 0.51652

2.20 1.04155 0.93070 1.13721 0.87354 1.04530 0.99165 150.00 0.49074 0.46506 0.55595 0.44667 0.53465 0.50213

2.40 1.01388 0.91153 1.10649 0.85843 1.02275 0.96993 175.00 0.47899 0.45384 0.54294 0.43584 0.52203 0.49021

2.60 0.99004 0.89505 1.08073 0.84525 1.00347 0.95159 200.00 0.46900 0.44431 0.53186 0.42665 0.51130 0.48008

2.80 0.96950 0.88069 1.05874 0.83359 0.98694 0.93569

3.00 0.95164 0.86799 1.03963 0.82317 0.97250 0.92174

3.20 0.93602 0.85666 1.02282 0.81375 0.95975 0.90936

3.40 0.92201 0.84645 1.00793 0.80518 0.94830 0.89829

3.60 0.90932 0.83718 0.99461 0.79731 0.93796 0.88831

3.80 0.89782 0.82869 0.98263 0.79004 0.92857 0.87921

4.00 0.88738 0.82088 0.97174 0.78329 0.91998 0.87087

4.50 0.86484 0.80370 0.94846 0.76829 0.90122 0.85272

5.00 0.84614 0.78913 0.92929 0.75537 0.88549 0.83744

5.50 0.83033 0.77651 0.91311 0.74405 0.87195 0.82432

6.00 0.81666 0.76539 0.89914 0 . 733% 0.86008 0.81283

6.50 0.80463 0.75546 0.88693 0.72489 0.84952 0.80260

7.00 0.79390 0.74650 0.87605 0.71664 0.84001 0.79341

7.50 0.78424 0.73834 0.86625 0.70908 0.83137 0.78505

8.00 0.77546 0.73086 0.85736 0.70211 0.82344 0.77739

8.50 0.76744 0.72394 0.84924 0.69564 0.81613 0.77033

9.00 0.76006 0.71752 0.84174 0.68962 0.80933 0.76378

9.50 0.75323 0.71152 0.83480 0.68397 0.80299 0.75767

10.00 0.74686 0.70590 0.82833 0.67867 0.79705 0.75194

11.00 0.73533 0.69562 0.81657 0.66894 0.78617 0.74147

12.00 0.72511 0.68641 0.80611 0.66018 0.77641 0.73209

13.00 0.71593 0.67808 0.79670 0.65224 0.76757 0.72360

14.00 0.70760 0.67047 0.78813 0.64497 0.75948 0.71583

31
Collision integrals for the (12, 6, 8) potential function for y = 1.0 T* nu- u* n(i - 2) * ft<2 - 2) * n°* 3) * IF- 3>* n<3 - 3> * T* ft<>. »* n<2 - 2) * n°- 3) * n<2- 3)* n<3- 3)*

0.10 3.66797 3.27405 3.79740 3.01108 3.50192 3.47692 15.00 0.70451 0.66831 0.78436 0.64327 0.75642 0.71322

0.15 3.21347 2.85651 3.34476 2.61212 3.09006 3.02954 16.00 0.69756 0.66183 0.77719 0.63710 0.74958 0.70666

0.20 2.91529 2.57502 3.06530 2.32370 2.82793 2.72187 17.00 0.69111 0.65590 0.77053 0.63135 0.74321 0.70056

0.25 2.68664 2.34827 2.85729 2.09552 2.63114 2.48867 18.00 0.68511 0.65031 0.76431 0.62597 0.73725 0.69485

0.30 2.50358 2.16294 2.69128 1.90792 2.46054 2.29855 19.00 0.67949 0.64506 0.75849 0.62092 0.73165 0.68948

0.35 2.34458 2.00538 2.54551 1.75794 2.31161 2.14407 20.00 0.67422 0.64013 0.75300 0.61617 0.72637 0.68443

0.40 2.21059 1.87542 2.41903 1.63327 2.17583 2.01115 22.00 0.66456 0.63105 0.74291 0.60741 0.71664 0.67513

0.45 2.09326 1.76290 2.30260 1.53301 2.05914 1.89974 24.00 0.65587 0.62287 0.73382 0.59951 0.70785 0.66672

0.50 1.99101 1.66949 2.19901 1.45171 1.95161 1.80502 26.00 0.64800 0.61543 0.72555 0.59232 0.69984 0.65907

0.55 1.90178 1.58894 2.10501 1.38320 1.85789 1.72209 28.00 0.64080 0.60861 0.71796 0.58572 0.69248 0.65205

0.60 1.82011 1.51951 2.01968 1.32614 1.77687 1.64970 30.00 0.63417 0.60232 0.71095 0.57964 0.68568 0.64556

0.65 1.74825 1.45913 1.94266 1.27774 1.70388 1.58646 32.00 0.62804 0.59649 0.70445 0.57400 0.67936 0.63954

0.70 1.68719 1.40788 1.87287 1.23681 1.64037 1.53107 34.00 0.62233 0.59106 0.69839 0.56874 0.67346 0.63392

0.75 1.62919 1.36053 1.80848 1.19974 1.58281 1.47978 36.00 0.61699 0.58597 0.69270 0.56382 0.66794 0.62866

0.80 1.57741 1.32093 1.75232 1.16870 1.53239 1.43547 38.00 0.61197 0.58120 0.68736 0.55920 0.66274 0.62371

0.85 1.53443 1.28539 1.69967 1.14142 1.48703 1.39598 40.00 0.60726 0.57670 0.68232 0.55484 0.65783 0.61904

0.90 1.49064 1.25372 1.65193 1.11716 1.44648 1.36027 45.00 0.59655 0.56647 0.67085 0.54494 0.64667 0.60842

0.95 1.45254 1.22496 1.60850 1.09575 1.41048 1.32815 50.00 0.58711 0.55746 0.66072 0.53621 0.63680 0.59904

1.00 1.41764 1.19815 1.56815 1.07622 1.37771 1.29864 55.00 0.57868 0.54941 0.65164 0.52842 0.62796 0.59064

1.10 1.35721 1.15411 1.49809 1.04305 1.32124 1.24779 60.00 0.57109 0.54214 0.64343 0.52138 0.61996 0.58305

1.20 1.30709 1.11717 1.43834 1.01562 1.27406 1.20540 65.00 0.56417 0.53553 0.63595 0.51498 0.61268 0.57614

1.30 1.26347 1.08647 1.38841 0.99243 1.23455 1.16934 70.00 0.55783 0.52946 0.62908 0.50911 0.60598 0.56979

1.40 1.22632 1.05915 1.34424 0.97253 1.20102 1.13837 75.00 0.55199 0.52387 0.62272 0.50369 0.59980 0.56392

1.50 1.19069 1.03614 1.30593 0.95530 1.17223 1.11161 80.00 0.54657 0.51868 0.61682 0.49867 0.59405 0.55848

1.60 1.16181 1.01598 1.27222 0.94009 1.14710 1.08819 85.00 0.54151 0.51385 0.61132 0.49399 0.58870 0.55340

1.70 1.13626 0.99812 1.24269 0.92664 1.12504 1.06764 90.00 0.53679 0.50932 0.60616 0.48962 0.58368 0.54865

1.80 1.11320 0.98215 1.21658 0.91457 1.10552 1.04937 95.00 0.53235 0.50508 0.60131 0.48551 0.57896 0.54418

1.90 1.09310 0.96793 1.19339 0.90366 1.08817 1.03301 100.00 0.52817 0.50107 0.59674 0.48164 0.57451 0.53996

2.00 1.07384 0.95508 1.17253 0.89373 1.07263 1.01827 125.00 0.51029 0.48397 0.57713 0.46510 0.55544 0.52192

2.20 1.04134 0.93261 1.13626 0.87627 1.04590 0.99277 150.00 0.49607 0.47037 0.56147 0.45195 0.54021 0.50753

2.40 1.01418 0.91375 1.10604 0.86136 1.02368 0.97135 175.00 0.48430 0.45912 0.54847 0.44108 0.52759 0.49560

2.60 0.99085 0.89748 1.08063 0.84832 1.00474 0.95323 200.00 0.47431 0.44957 0.53741 0.43185 0.51685 0.48546

2.80 0.97065 0.88329 1.05897 0.83679 0.98834 0.93758

3.00 0.95327 0.87076 1.04019 0.82649 0.97411 0.92381

3.20 0.93755 0.85956 1.02366 0.81718 0.96151 0.91161

3.40 0.92383 0.84950 1.00902 0.80870 0.95025 0.90067

3.60 0.91141 0.84031 0.99588 0.80092 0.94005 0.89081

3.80 0.90010 0.83192 0.98406 0.79373 0.93077 0.88184

4.00 0.88978 0.82420 0.97334 0.78706 0.92229 0.87361

4.50 0.86754 0.80723 0.95036 0.77221 0.90379 0.85568

5.00 0.84915 0.79282 0.93146 0.75943 0.88827 0.84060

5.50 0.83344 0.78033 0.91552 0.74822 0.87492 0.82764

6.00 0.81996 0.76933 0.90174 0.73823 0.86320 0.81628

6.50 0.80808 0.75951 0.88967 0.72924 0.85278 0.80618

7.00 0.79749 0.75064 0.87896 0.72107 0.84340 0.79709

7.50 0.78794 0.74256 0.86930 0.71358 0.83487 0.78883

8.00 0.77927 0.73514 0.86052 0.70667 0.82704 0.78126

8.50 0.77133 0.72829 0.85249 0.70026 0.81981 0.77427

9.00 0.76402 0.72193 0.84510 0.69428 0.81310 0.76779

9.50 0.75726 0.71598 0.83824 0.68868 0.80684 0.76174

10.00 0.75096 0.71041 0.83185 0.68341 0.80096 0.75608

11.00 0.73955 0.70022 0.82024 0.67375 0.79021 0.74571

12.00 0.72941 0.69108 0.80991 0.66506 0.78056 0.73642

13.00 0.72032 0.68281 0.80060 0.65716 0.77180 0.72800

14.00 0.71207 0.67526 | 0.79213 0.64994 0.76379 0.72031

32
Collision integrals for the {12, 6, 8) potential function for y— 1.5 T* n«- n* n(i - 2) * n<2- 2) * 3)* n<3- 3) * T* ft(1 - «* nu- 2) * n(2 - 2)* n(i - 3>* ft«- 3)* n< 3- 3>*

0.10 3.49906 3.14112 3.64968 2.89358 3.36919 3.33476 15.00 0.70855 0.67261 0.78799 0.64773 0.76032 0.71725

0.15 3.08320 2.75690 3.22970 2.52729 2.98558 2.92319 16.00 0.70164 0.66622 0.78089 0.64159 0.75354 0.71075

0.20 2.80776 2.49339 2.96251 2.26360 2.74273 2.64046 17.00 0.69524 0.66027 0.77429 0.63587 0.74723 0.70468

0.25 2.59821 2.28610 2.77073 2.05158 2.55878 2.42341 18.00 0.68928 0.65472 0.76813 0.63052 0.74132 0.69901

0.30 2.42743 2.11414 2.61582 1.87765 2.40201 2.24803 19.00 0.68370 0.64950 0.76235 0.62549 0.73577 0.69369

0.35 2.28231 1.96895 2.48234 1.73494 2.26371 2.10194 20.00 0.67847 0.64459 0.75692 0.62075 0.73053 0.68867

0.40 2.15712 1.84564 2.36324 1.61899 2.13925 1.97983 22.00 0.66886 0.63556 0.74692 0.61203 0.72088 0.67943

0.45 2.04755 1.74143 2.25594 1.52199 2.02400 1.87332 24.00 0.66023 0.62742 0.73791 0.60416 0.71215 0.67108

0.50 1.95163 1.65064 2.15732 1.44383 1.92708 1.78328 26.00 0.65240 0.62001 0.72970 0.59699 0.70419 0.66347

0.55 1.86639 1.57398 2.07075 1.37630 1.83553 1.70282 28.00 0.64524 0.61321 0.72217 0.59041 0.69688 0.65649

0.60 1.79130 1.50647 1.98728 1.32047 1.75845 1.63305 30.00 0.63865 0.60695 0.71522 0.58435 0.69013 0.65003

0.65 1.72408 1.44968 1.91730 1.27415 1.68903 1.57309 32.00 0.63254 0.60114 0.70876 0.57872 0.68385 0.64404

0.70 1.66407 1.39879 1.84871 1.23320 1.62653 1.51874 34.00 0.62685 0.59572 0.70274 0.57347 0.67799 0.63845

0.75 1.61012 1.35329 1.78672 1.19776 1.57164 1.47020 36.00 0.62153 0.59065 0.69710 0.56856 0.67249 0.63321

0.80 1.56209 1.31420 1.73343 1.16686 1.52293 1.42665 38.00 0.61654 0.58589 0.69179 0.56394 0.66732 0.62828

0.85 1.51707 1.28063 1.68379 1.14017 1.47885 1.38841 40.00 0.61184 0.58140 0.68678 0.55959 0.66245 0.62364

0.90 1.47681 1.24980 1.63751 1.11652 1.43949 1.35398 45.00 0.60117 0.57120 0.67538 0.54971 0.65134 0.61306

0.95 1.44114 1.22115 1.59479 1.09524 1.40410 1.32252 50.00 0.59176 0.56220 0.66530 0.54099 0.64151 0.60370

1.00 1.40848 1.19572 1.55644 1.07610 1.37219 1.29386 55.00 0.58336 0.55416 0.65627 0.53319 0.63270 0.59533

1.10 1.34802 1.15193 1.48860 1.04339 1.31720 1.24415 60.00 0.57578 0.54690 0.64810 0.52616 0.62474 0.58777

1.20 1.29895 1.11618 1.43074 1.01635 1.27096 1.20267 65.00 0.56888 0.54029 0.64065 0.51976 0.61748 0.58087

1.30 1.25850 1.08535 1.38128 0.99348 1.23214 1.16742 70.00 0.56256 0.53423 0.63380 0.51389 0.61080 0.57453

1,40 1.22086 1,05909 1.33887 0.97386 1.19920 1.13706 75.00 0.55672 0.52864 0.62748 0.50847 0.60464 0.56868

1.50 1.18765 1.03633 1.30172 0.95676 1.17081 1.11070 80.00 0.55130 0.52345 0.62160 0.50344 0.59891 0.56324

1.60 1.15842 1.01649 1.26866 0.94177 1.14614 1.08771 85.00 0.54626 0.51862 0.61611 0.49876 0.59356 0.55817

1.70 1.13361 0.99892 1.23967 0.92847 1.12447 1.06746 90.00 0.54154 0.51409 0.61097 0.49438 0.58855 0.55342

1.80 1.11155 0.98328 1.21411 0.91655 1.10525 1.04949 95.00 0.53710 0.50984 0.60614 0.49026 0.58384 0.54896

1.90 1.09125 0.96916 1.19126 0.90577 1.08813 1.03340 100.00 0.53292 0.50584 0.60157 0.48639 0.57940 0.54475

2.00 1.07274 0.95637 1.17066 0.89596 1.07279 1.01888 125.00 0.51504 0.48872 0.58201 0.46981 0.56035 0.52671

2.20 1.04093 0.93427 1.13528 0.87869 1.04640 0.99374 150.00 0.50081 0.47509 0.56637 0.45663 0.54514 0.51231

2.40 1.01425 0.91568 1.10560 0.86394 1.02436 0.97266 175.00 0.48903 0.46382 0.55339 0.44573 0.53252 0.50038

2.60 0.99146 0.89963 1.08054 0.85105 1.00576 0.95469 200.00 0.47902 0.45424 0.54232 0.43647 0.52177 0.49022

2.80 0.97167 0.88560 1.05915 0.83964 0.98965 0.93923

3.00 0.95413 0.87321 1.04063 0.82944 0.97556 0.92566

3.20 0.93889 0.86216 1.02437 0.82023 0.96310 0.91360

3.40 0.92536 0.85217 1.00992 0.81184 0.95196 0.90281

3.60 0.91320 0.84310 0.99699 0.80414 0.94190 0.89305

3.80 0.90208 0.83480 0.98535 0.79702 0.93275 0.88418

4.00 0.89188 0.82716 0.97476 0.79041 0.92436 0.87606

4.50 0.86992 0.81036 0.95205 0.77571 0.90610 0.85832

5.00 0.85172 0.79611 0.93340 0.76305 0.89075 0.84341

5.50 0.83624 0.78374 0.91764 0.75193 0.87755 0.83058

6.00 0.82288 0.77284 0.90405 0.74204 0.86598 0.81935

6.50 0.81114 0.76311 0.89212 0.73312 0.85568 0.80936

7.00 0.80067 0.75432 0.88152 0.72501 0.84640 0.80036

7.50 0.79124 0.74631 0.87198 0.71758 0.83796 0.79218

8.00 0.78266 0.73896 0.86332 0.71072 0.83022 0.78468

8.50 0.77479 0.73216 0.85539 0.70436 0.82308 0.77777

9.00 0.76755 0.72585 0.84807 0.69842 0.81644 0.77135

9.50 0.76084 0.71995 0.84129 0.69286 0.81024 0.76536

10.00 0.75460 0.71443 0.83497 0.68764 0.80443 0.75974

11.00 0.74329 0.70431 0.82349 0.67804 0.79378 0.74947

12.00 0.73325 0.69524 0.81327 0.66940 0.78423 0.74026

13.00 0.72422 0.68702 0.80406 0.66155 0.77556 0.73191

14.00 0.71604 0.67952 0.79567 0.65436 0.76763 0.72428

33
Collision integrals for the (12, 6, 8) potential function for y — 2.0 T* n(i - »• nu- 2)* n<2 - 3) * ft«- 3>* T* n<»* 2) * n<2- 2)* n<i* 3> * n<2 - 3)* n<3- 3)*

0.10 3.33185 3.00739 3.50008 2.78450 3.24451 3.20157 15.00 0.71218 0.67650 0.79126 0.65176 0.76384 0.72089

0.15 2.95539 2.65927 3.11039 2.44998 2.88701 2.82522 16.00 0.70533 0.67014 0.78422 0.64565 0.75712 0.71443

0.20 2.70467 2.41862 2.86520 2.20863 2.66146 2.56594 17.00 0.69897 0.66423 0.77768 0.63995 0.75086 0.70841

0.25 2.51430 2.22900 2.68787 2.00943 2.48777 2.36139 18.00 0.69305 0.65870 0.77158 0.63462 0.74500 0.70278

0.30 2.35728 2.06932 2.54410 1.84950 2.34627 2.20090 19.00 0.68751 0.65351 0.76585 0. 62%1 0.73949 0.69749

0.35 2.22342 1.93378 2.42047 1.71584 2 . 217% 2.06532 20.00 0.68230 0.64862 0.76046 0.62489 0.73429 0.69250

0.40 2.10760 1.81788 2.31002 1.60391 2.10018 1.94830 22.00 0.67275 0. 63%3 0.75054 0.61620 0.72470 0.68331

0.45 2.00538 1.71823 2.20950 1.51108 1.99424 1.84731 24.00 0.66416 0.63152 0.74160 0.60835 0.71604 0.67501

0.50 1.91546 1.63256 2.11805 1.43484 1.90035 1.76146 26.00 0.65637 0.62414 0.73345 0.60120 0.70813 0.66744

0.55 1.83557 1.55984 2.03560 1.37085 1.81610 1.68548 28.00 0.64925 0.61737 0.72597 0.59465 0.70086 0.66049

0.60 1.76430 1.49478 1.95831 1.31575 1.73994 1.61818 30.00 0.64268 0.61112 0.71907 0.58859 0.69415 0.65407

0.65 1.70065 1.43957 1.88934 1.26980 1.67398 1.55939 32.00 0.63660 0.60533 0.71266 0.58298 0.68790 0.64811

0.70 1.64443 1.39124 1.82714 1.23066 1.61470 1.50786 34.00 0.63094 0.59993 0.70667 0.57774 0.68207 0.64254

0.75 1.59170 1.34713 1.76753 1.19570 1.56091 1.46083 36.00 0.62564 0.59487 0.70106 0.57284 0.67661 0.63732

0.80 1.54594 1.30861 1.71439 1.16536 1.51350 1.41882 38.00 0.62067 0.59012 0.69579 0.56823 0.67146 0.63241

0.85 1.50373 1.27492 1.66702 1.13887 1.47111 1.38113 40.00 0.61598 0.58564 0.69081 0.56389 0.66661 0.62778

0.90 1.46434 1.24565 1.62385 1.11564 1.43286 1.34760 45.00 0.60534 0.57546 0.67947 0.55401 0.65555 0.61724

0.95 1.42927 1.21847 1.58310 1.09486 1.39831 1.31728 50.00 0.59596 0.56648 0.66944 0.54529 0.64576 0.60792

1.00 1.39778 1.19321 1.54518 1.07605 1.36705 1.28946 55.00 0.58758 0.55845 0.66045 0.53751 0.63699 0.59957

1.10 1.34116 1.14998 1.47944 1.04372 1.31318 1.24083 60.00 0.58002 0.55119 0.65232 0.53047 0.62905 0.59202

1.20 1.29210 1.11478 1.42346 1.01696 1.26813 1.20005 65.00 0.57313 0.54459 0.64489 0.52407 0.62181 0.58513

1.30 1.25187 1.08489 1.37524 0.99438 1.22993 1.16552 70.00 0.56682 0.53853 0.63807 0.51819 0.61515 0.57881

1.40 1.21712 1.05886 1.33355 0.97500 1.19744 1.13579 75.00 0.56099 0.53294 0.63177 0.51277 0.60900 0.57297

1.50 1.18451 1.03646 1.29746 0.95813 1.16952 1.10990 80.00 0.55558 0.52776 0.62591 0.50774 0.60329 0.56754

1.60 1.15591 1.01690 1.26547 0.94327 1.14523 1.08722 85.00 0.55054 0.52292 0.62044 0.50306 0.59795 0.56248

1.70 1.13096 0.99959 1.23695 0.93010 1.12389 1.06727 90.00 0.54582 0.51839 0.61531 0.49867 0.59295 0.55773

1.80 1.10932 0.98415 1.21165 0.91831 1.10499 1.04955 95.00 0.54139 0.51414 0.61049 0.49455 0.58825 0.55327

1.90 1.08986 0.97028 1.18923 0.90766 1.08809 1.03370 100.00 0.53721 0.51013 0.60594 0.49067 0.58381 0.54906

2.00 1.07185 0.95769 1.16905 0.89795 1.07292 1.01941 125.00 0.51933 0.49300 0.58641 0.47407 0.56479 0.53103

2.20 1.04059 0.93578 1.13426 0.88086 1.04684 0.99460 150.00 0.50509 0.47935 0.57079 0.46085 0.54958 0.51663

2.40 1.01428 0.91737 1.10517 0.86625 1.02500 0.97382 175.00 0.49330 0.46805 0.55782 0.44992 0.53697 0.50469

2.60 0.99183 0.90154 1.08044 0.85350 1.00672 0.95601 200.00 0.48327 0.45845 0.54676 0.44063 0.52621 0.49452

2.80 0.97243 0.88767 1.05928 0.84221 0.99085 0.94068

3.00 0.95529 0.87540 1.04100 0.83211 0.97684 0.92731

3.20 0.94006 0.86446 1.02498 0.82298 0.96449 0.91542

3.40 0.92667 0.85459 1.01076 0.81467 0.95350 0.90473

3.60 0.91469 0.84560 0.99799 0.80704 0.94357 0.89508

3.80 0.90380 0.83739 0.98647 0.79999 0.93454 0.88629

4.00 0.89378 0.82981 0.97602 0.79344 0.92624 0.87825

4.50 0.87202 0.81319 0.95358 0.77886 0.90817 0.86070

5.00 0.85407 0.79906 0.93514 0.76631 0.89298 0.84595

5.50 0.83873 0.78681 0.91956 0.75529 0.87993 0.83325

6.00 0.82550 0.77601 0.90614 0.74547 0.86848 0.82212

6.50 0.81389 0.76636 0.89433 0.73662 0.85829 0.81222

7.00 0.80353 0.75764 0.88383 0.72857 0.84911 0.80331

7.50 0.79419 0.74970 0.87442 0.72120 0.84076 0.79520

8.00 0.78570 0.74240 0.86585 0.71438 0.83310 0.78778

8.50 0.77791 0.73566 0.85800 0.70806 0.82602 0.78092

9.00 0.77074 0.72939 0.85075 0.70217 0.81945 0.77456

9.50 0.76408 0.72354 0.84404 0.69664 0.81331 0.76862

10.00 0.75789 0.71805 0.83779 0.69145 0.80755 0.76305

11.00 0.74667 0.70800 0.82642 0.68190 0.79701 0.75286

12.00 0.73670 0.69899 0.81630 0.67331 0.78754 0.74373

13.00 0.72775 0.69083 0.80718 0.66551 0.77895 0.73544

14.00 0.71962 0.68337 0.79888 0.65835 0.77109 0.72787

34
Collision integrals for the (12, 6, 8) potential function for y = 2.5 T* ft< i - »* n(i - 2) * n< 2 . 2 >* ftd- 3>* n< 2 - 3) * ft<3. 3)* T* ft' 1 - nu- 2) * n(2 - 2>* n«. 3) * n« 2 - 3)* n<3- 3)*

0.10 3.16693 2.87810 3.35318 2.67855 3.12232 3.07161 15.00 0.71549 0.68004 0.79424 0.65543 0.76706 0.72421

0.15 2.83084 2.56367 2.99693 2.37568 2.79351 2.73062 16.00 0.70868 0.67372 0.78726 0.64934 0.76039 0.71779

0.20 2.60455 2.34667 2.77280 2.15449 2.58362 2.49285 17.00 0.70237 0.66783 0.78078 0.64367 0.75417 0.71181

0.25 2.43132 2.17193 2.60761 1.97397 2.42682 2.30773 18.00 0.69648 0.66233 0.77472 0.63836 0.74835 0.70621

0.30 2.28924 2.02586 2.47600 1.82232 2.29333 2.15572 19.00 0.69097 0.65716 0.76904 0.63337 0.74288 0.70095

0.35 2.16642 1.89964 2.36161 1.69460 2.17282 2.02677 20.00 0.68579 0.65230 0.76369 0.62866 0.73771 0.69599

0.40 2.05907 1.79105 2.25931 1.58844 2.06350 1.91693 22.00 0.67629 0.64334 0.75385 0.62000 0.72819 0.68685

0.45 1.96449 1.69697 2.16593 1.50080 1.96561 1.82322 24.00 0.66775 0.63526 0.74496 0.61217 0.71958 0.67859

0.50 1.88032 1.61587 2.08061 1.42670 1.87558 1.74043 26.00 0.65999 0.62790 0.73687 0.60505 0.71172 0.67106

0.55 1.80525 1.54523 2.00192 1.36483 1.79644 1.66828 28.00 0.65290 0.62116 0.72944 0.59850 0.70449 0.66415

0.60 1.73811 1.48385 1.93060 1.31118 1.72316 1.60351 30.00 0.64636 0.61493 0.72258 0.59247 0.69781 0.65775

0.65 1.67786 1.42940 1.86345 1.26572 1.65915 1.54664 32.00 0.64030 0.60915 0.71621 0.58686 0.69160 0.65181

0.70 1.62333 1.38270 1.80431 1.22761 1.60270 1.49682 34.00 0.63466 0.60376 0.71026 0.58163 0.68580 0.64627

0.75 1.57462 1.34138 1.74953 1.19395 1.55117 1.45205 36.00 0.62938 0.59872 0.70468 0.57674 0.68036 0.64107

0.80 1.52949 1.30329 1.69741 1.16405 1.50488 1.41129 38.00 0.62443 0.59398 0.69943 0.57213 0.67524 0.63618

0.85 1.49044 1.27019 1.65133 1.13772 1.46356 1.37452 40.00 0.61976 0.58951 0.69448 0.56780 0.67040 0.63156

0.90 1.45270 1.24096 1.60969 1.11473 1.42645 1.34159 45.00 0.60915 0.57935 0.68320 0.55793 0.65939 0.62105

0.95 1.41824 1.21516 1.57128 1.09432 1.39280 1.31206 50.00 0.59979 0.57038 0.67321 0.54922 0.64964 0.61176

1.00 1.38784 1.19103 1.53504 1.07591 1.36228 1.28514 55.00 0.59143 0.56235 0.66426 0.54143 0.64089 0.60343

1.10 1.33367 1.14863 1.47100 1.04395 1.30938 1.23761 60.00 0.58388 0.55511 0.65616 0.53440 0.63298 0.59590

1.20 1.28574 1.11340 1.41642 1.01748 1.26533 1.19762 65.00 0.57701 0.54851 0.64876 0.52800 0.62576 0.58902

1.30 1.24556 1.08418 1.36948 0.99519 1.22790 1.16370 70.00 0.57070 0.54245 0.64197 0.52212 0.61912 0.58271

1.40 1.21222 1.05872 1.32874 0.97602 1.19584 1.13454 75.00 0.56488 0.53686 0.63568 0.51670 0.61298 0.57688

1.50 1.18171 1.03663 1.29344 0.95934 1.16833 1.10912 80.00 0.55947 0.53168 0.62984 0.51166 0.60728 0.57145

1.60 1.15372 1.01720 1.26221 0.94464 1.14437 1.08679 85.00 0.55444 0.52684 0.62438 0.50697 0.60195 0.56640

1.70 1.12875 1.00016 1.23440 0.93159 1.12335 1.06709 90.00 0.54972 0.52231 0.61927 0.50258 0.59696 0.56166

1.80 1.10718 0.98492 1.20952 0.91990 1.10469 1.04960 95.00 0.54529 0.51806 0.61446 0.49846 0.59227 0.55720

1.90 1.08814 0.97122 1.18733 0.90935 1.08804 1.03395 100.00 0.54111 0.51405 0.60991 0.49457 0.58784 0.55299

2.00 1.07081 0.95882 1.16750 0.89975 1.07305 1.01985 125.00 0.52324 0. 4%89 0.59042 0.47794 0.56883 0.53496

2.20 1.04000 0.93712 1.13324 0.88282 1.04724 0.99537 150.00 0.50899 0.48322 0.57482 0.46469 0.55363 0.52056

2.40 1.01415 0.91887 1.10466 0.86835 1.02560 0.97487 175.00 0.49718 0.47191 0.56186 0.45373 0.54101 0.50861

2.60 0.99215 0.90324 1.08035 0.85571 1.00748 0.95728 200.00 0.48714 0.46228 0.55080 0.44442 0.53025 0.49843

2.80 0.97301 0.88954 1.05943 0.84454 0.99188 0.94204

3.00 0.95622 0.87740 1.04133 0.83453 0.97807 0.92878

3.20 0.94121 0.86655 1.02550 0.82547 0.96581 0.91704

3.40 0.92792 0.85678 1.01147 0.81723 0.95490 0.90648

3.60 0.91598 0.84788 0.99889 0.80967 0.94507 0.89692

3.80 0.90526 0.83973 0.98751 0.80268 0.93614 0.88822

4.00 0.89544 0.83223 0.97717 0.79619 0.92795 0.88024

4.50 0.87395 0.81575 0.95497 0.78173 0.91005 0.86287

5.00 0.85615 0.80175 0.93671 0.76928 0.89502 0.84825

5.50 0.84102 0.78961 0.92132 0.75834 0.88208 0.83567

6.00 0.82791 0.77889 0.90802 0.74859 0.87076 0.82464

6.50 0.81637 0.76932 0.89636 0.73981 0.86067 0.81482

7.00 0.80613 0.76066 0.88596 0.73181 0.85157 0.80599

7.50 0.79687 0.75278 0.87661 0.72449 0.84330 0.79796

8.00 0.78846 0.74554 0.86815 0.71772 0.83572 0.79060

8.50 0.78075 0.73884 0.86037 0.71144 0.82871 0.78380

9.00 0.77363 0.73261 0.85321 0.70558 0.82219 0.77748

9.50 0.76703 0.72680 0.84655 0.70008 0.81611 0.77159

10.00 0.76088 0.72135 0.84035 0.69492 0.81041 0.76607

11.00 0.74974 0.71137 0.82909 0.68543 0.79995 0. 755%

12.00 0.73985 0.70241 0.81907 0.67688 0.79057 0.74689

13.00 0.73096 0.69429 0.81002 0.66911 0.78205 0.73866

14.00 0.72288 0.68687 0.80179 0.66200 0.77425 0.73114

35
Collision integrals for the (13, 6, 8) potential function for y—0.

T* n«- «* nu.2>* n(2- 2) * n°- 3>* n< 2 - 3 >* n< 3 - 3>* T* n(i - i) * n(i - 2) * n<2- 2>* n°- 3>* ft<3. 3)*

0.10 3.86993 3.42786 3.97242 3.13022 3.64395 3.62532 15.00 0.70906 0.67350 0.78733 0.64900 0.75985 0.71763

0.15 3.35953 2.96626 3.47722 2.69022 3.19420 3.13313 16.00 0.70223 0.66720 0.78028 0.64297 0.75315 0.71121

0.20 3.02819 2.65068 3.16809 2.37699 2.91256 2.79910 17.00 0.69590 0.66136 0.77373 0.63736 0.74691 0.70523

0.25 2.77698 2.40542 2.94472 2.12959 2.69684 2.54537 18.00 0.69001 0.65589 0.76763 0.63211 0.74107 0.69964

0.30 2.57512 2.20534 2.76414 1.93394 2.51588 2.34585 19.00 0.68451 0.65077 0.76191 0.62719 0.73559 0.69440

0.35 2.40474 2.03932 2.60868 1.77544 2.35416 2.18080 20.00 0.67934 0.64595 0.75653 0.62255 0.73043 0.68946

0.40 2.25942 1.90186 2.47207 1.64623 2.20938 2.04072 22.00 0.66988 0.63709 0.74665 0.61401 0.72092 0.68037

0.45 2.13429 1.78397 2.34714 1.54467 2.08604 1.92592 24.00 0.66139 0.62911 0.73775 0.60632 0.71233 0.67217

0.50 2.02463 1.68595 2.23731 1.45884 1.97249 1.82452 26.00 0.65369 0.62185 0.72965 0.59931 0.70450 0.66470

0.55 1.92977 1.60220 2.13633 1.38917 1.87633 1.73835 28.00 0.64665 0.61520 0.72223 0.59289 0.69731 0.65785

0.60 1.84710 1.53130 2.04848 1.33174 1.79157 1.66426 30.00 0.64018 0.60907 0.71538 0.58697 0.69068 0.65152

0.65 1.77111 1.46794 1.96469 1.28189 1.71552 1.59815 32.00 0.63419 0.60339 0.70903 0.58148 0.68452 0.64565

0.70 1.70686 1.41398 1.89127 1.23940 1.64952 1.53981 34.00 0.62861 0.59810 0.70310 0.57637 0.67876 0.64017

0.75 1.64686 1.36811 1.82735 1.20319 1.59134 1.48848 36.00 0.62340 0.59315 0.69755 0.57158 0.67338 0.63504

0.80 1.59287 1.32778 1.76798 1.17194 1.53940 1.44338 38.00 0.61851 0.58850 0.69234 0.56708 0.66831 0.63022

0.85 1.54638 1.29068 1.71263 1.14433 1.49311 1.40282 40.00 0.61391 0.58412 0.68742 0.56284 0.66353 0.62567

0.90 1.50396 1.25790 1.66327 1.11982 1.45188 1.36617 45.00 0.60347 0.57417 0.67624 0.55322 0.65265 0.61532

0.95 1.46386 1.22826 1.61843 1.09811 1.41511 1.33323 50.00 0.59428 0.56540 0.66635 0.54473 0.64303 0.60618

1.00 1.42725 1.20229 1.57761 1.07867 1.38195 1.30341 55.00 0.58608 0.55757 0.65750 0.53715 0.63442 0.59801

1.10 1.36624 1.15786 1.50555 1.04543 1.32442 1.25191 60.00 0.57868 0.55050 0.64951 0.53032 0.62664 0.59062

1.20 1.31576 1.12033 1.44470 1.01793 1.27677 1.20892 65.00 0.57195 0.54407 0.64222 0.52409 0.61955 0.58389

1.30 1.26965 1.08882 1.39328 0.99468 1.23692 1.17239 70.00 0.56578 0.53817 0.63552 0.51839 0.61304 0.57771

1.40 1.22972 1.06197 1.34860 0.97478 1.20311 1.14112 75.00 0.56009 0.53274 0.62934 0.51313 0.60702 0.57200

1.50 1.19590 1.03880 1.30949 0.95752 1.17404 1.11414 80.00 0.55482 0.52770 0.62360 0.50825 0.60143 0.56671

1.60 1.16694 1.01856 1.27553 0.94240 1.14874 1.09064 85.00 0.54991 0.52300 0.61824 0.50370 0.59622 0.56177

1.70 1.14089 1.00061 1.24576 0.92896 1.12655 1.06996 90.00 0.54531 0.51860 0.61322 0.49945 0.59134 0.55714

1.80 1.11734 0.98458 1.21934 0.91692 1.10697 1.05158 95.00 0.54099 0.51447 0.60850 0.49546 0.58675 0.55280

1.90 1.09644 0.97031 1.19586 0.90604 1.08958 1.03514 100.00 0.53693 0.51058 0.60405 0.49170 0.58243 0.54870

2.00 1.07744 0.95742 1.17471 0.89615 1.07401 1.02035 125.00 0.51955 0.49397 0.58499 0.47563 0.56390 0.53116

2.20 1.04470 0.93510 1.13812 0.87876 1.04722 0.99481 150.00 0.50572 0.48075 0.56977 0.46285 0.54912 0.51718

2.40 1.01736 0.91621 1.10775 0.86392 1.02495 0.97339 175.00 0.49429 0.46983 0.55715 0.45230 0.53688 0.50560

2.60 0.99379 0.89998 1.08229 0.85097 1.00596 0.95532 200.00 0.48458 0.46055 0.54640 0.44333 0.52645 0.49575

2.80 0.97349 0.88585 1.06057 0.83953 0.98967 0.93965

3.00 0.95590 0.87337 1.04169 0.82931 0.97545 0.92591

3.20 0.94049 0.86223 1.02511 0.82008 0.96289 0.91374

3.40 0.92668 0.85220 1.01042 0.81168 0.95163 0.90286

3.60 0.91417 0.84310 0.99730 0.80398 0.94146 0.89305

3.80 0.90284 0.83478 0.98549 0.79687 0.93224 0.88412

4.00 0.89256 0.82712 0.97476 0.79027 0.92380 0.87593

4.50 0.87040 0.81029 0.95185 0.77560 0.90539 0.85813

5.00 0.85202 0.79602 0.93302 0.76299 0.88998 0.84316

5.50 0.83649 0.78367 0.91712 0.75193 0.87672 0.83032

6.00 0.82308 0.77281 0.90342 0.74210 0.86511 0.81908

6.50 0.81129 0.76311 0.89145 0.73325 0.85479 0.80909

7.00 0.80078 0.75436 0.88079 0.72521 0.84551 0.80011

7.50 0.79132 0.74640 0.87120 0.71785 0.83707 0.79196

8.00 0.78273 0.73910 0.86251 0.71106 0.82934 0.78449

8.50 0.77488 0.73235 0.85456 0.70477 0.82220 0.77760

9.00 0.76767 0.72609 0.84724 0.69891 0.81558 0.77122

9.50 0.76100 0.72025 0.84046 0.69342 0.80941 0.76526

10.00 0.75478 0.71478 0.83414 0.68826 0.80362 0.75969

11.00 0.74352 0.70477 0.82268 0.67880 0.79303 0.74950

12.00 0.73355 0.69581 0.81248 0.67029 0.78354 0.74037

13.00 0.72460 0.68770 0.80331 0.66257 0.77494 0.73211

14.00 0.71648 0.68030 0.79497 0.65550 0.76708 0.72457

36
Collision integrals for the (13, 6, 8 ) potential function for y = 0.4 T* ft"' ft< i . 2)* n<2 - 2)* n«- 3) * ft<2 - n<3> 3) * T* n(i - «* n(i - 2) * n<2- 2>* n«* 3) * n<2> 3)* ft<3- 3>*

0.10 3.71289 3.30250 3.83618 3.02499 3.52566 3.49982 15.00 0.71333 0.67805 0.79118 0.65370 0.76398 0.72189

0.15 3.24195 2.87009 3.36751 2.61488 3.10097 3.03860 16.00 0.70655 0.67180 0.78420 0.64771 0.75733 0.71551

0.20 2.93053 2.57815 3.07606 2.32287 2.83316 2.72573 17.00 0.70027 0.66598 0.77772 0.64212 0.75115 0.70958

0.25 2.69597 2.34887 2.86383 2.09154 2.63056 2.48757 18.00 0.69443 0.66055 0.77167 0.63690 0.74536 0.70403

0.30 2.50738 2.16148 2.69389 1.90453 2.45884 2.29688 19.00 0.68896 0.65545 0.76600 0.63199 0.73992 0.69882

0.35 2.34730 2.00419 2.54684 1.75405 2.30742 2.14074 20.00 0.68383 0.65066 0.76067 0.62737 0.73479 0.69391

0.40 2.21134 1.87327 2.41787 1.63188 2.17298 2.00962 22.00 0.67443 0.64184 0.75087 0.61887 0.72535 0.68488

0.45 2.09307 1.76160 2.30129 1.53186 2.05595 1.89780 24.00 0.66598 0.63389 0.74204 0.61120 0.71682 0.67672

0.50 1.98987 1.66868 2.19740 1.45104 1.94797 1.80310 26.00 0.65833 0.62666 0.73401 0.60421 0.70905 0.66929

0.55 1.89936 1.58701 2.10134 1.38254 1.85397 1.71982 28.00 0.65133 0.62004 0.72664 0.59781 0.70191 0.66248

0.60 1.81925 1.51881 2.01698 1.32636 1.77351 1.64803 30.00 0.64489 0.61393 0.71984 0.59191 0.69532 0.65618

0.65 1.74857 1.45921 1.94011 1.27834 1.70073 1.58499 32.00 0.63892 0.60827 0.71353 0.58643 0.68919 0.65034

0.70 1.68532 1.40624 1.86829 1.23695 1.63671 1.52893 34.00 0.63337 0.60299 0.70765 0.58132 0.68348 0.64489

0.75 1.62941 1.36046 1.80543 1.20088 1.58012 1.47859 36.00 0.62819 0.59805 0.70214 0.57654 0.67812 0.63978

0.80 1.57755 1.32153 1.74961 1.17014 1.52991 1.43456 38.00 0.62332 0.59342 0.69696 0.57205 0.67308 0.63498

0.85 1.53210 1.28637 1.69720 1.14319 1.48492 1.39539 40.00 0.61873 0.58905 0.69207 0.56782 0.66833 0.63045

0.90 1.49084 1.25419 1.64891 1.11917 1.44466 1.35989 45.00 0.60833 0.57912 0.68095 0.55821 0.65751 0.62015

0.95 1.45347 1.22545 1.60541 1.09779 1.40872 1.32776 50.00 0.59916 0.57037 0.67113 0.54973 0.64794 0.61105

1.00 1.41816 1.19944 1.56587 1.07862 1.37634 1.29865 55.00 0.59098 0.56254 0.66233 0.54216 0.63937 0.60290

1.10 1.35741 1.15587 1.49614 1.04584 1.32030 1.24822 60.00 0.58360 0.55549 0.65437 0.53532 0.63163 0.59554

1.20 1.30837 1.11934 1.43687 1.01872 1.27352 1.20619 65.00 0.57689 0.54906 0.64712 0.52910 0.62457 0.58883

1.30 1.26502 1.08850 1.38681 0.99583 1.23440 1.17046 70.00 0.57073 0.54317 0.64046 0.52340 0.61808 0.58267

1.40 1.22657 1.06188 1.34335 0.97617 1.20116 1.13977 75.00 0.56505 0.53774 0.63430 0.51814 0.61209 0.57698

1.50 1.19233 1.03909 1.30526 0.95914 1.17262 1.11326 80.00 0.55979 0.53270 0.62859 0.51325 0.60652 0.57170

1.60 1.16370 1.01915 1.27184 0.94418 1.14778 1.09013 85.00 0.55488 0.52800 0.62325 0.50871 0.60133 0.56677

1.70 1.13859 1.00154 1.24262 0.93092 1.12596 1.06980 90.00 0.55029 0.52360 0.61825 0.50445 0.59646 0.56216

1.80 1.11573 0.98579 1.21675 0.91903 1.10666 1.05174 95.00 0.54597 0.51947 0.61355 0.50045 0.59189 0.55782

1.90 1.09524 0.97165 1.19368 0.90829 1.08950 1.03557 100.00 0.54191 0.51558 0.60912 0.49668 0.58757 0.55373

2.00 1.07663 0.95896 1.17298 0.89851 1.07414 1.02100 125.00 0.52454 0.49895 0.59011 0.48059 0.56908 0.53620

2.20 1.04445 0.93689 1.13716 0.88133 1.04774 0.99582 150.00 0.51070 0.48571 0.57492 0.46778 0.55431 0.52222

2.40 1.01756 0.91829 1.10726 0.86666 1.02580 0.97469 175.00 0.49926 0.47476 0.56232 0.45719 0.54207 0.51063

2.60 0.99460 0.90226 1.08215 0.85386 1.00711 0.95683 200.00 0.48953 0.46545 0.55158 0.44818 0.53164 0.50076

2.80 0.97451 0.88830 1.06074 0.84255 0.99096 0.94142

3.00 0.95721 0.87598 1.04219 0.83244 0.97694 0.92786

3.20 0.94192 0.86497 1.02587 0.82331 0.96453 0.91584

3.40 0.92840 0.85506 1.01140 0.81500 0.95345 0.90509

3.60 0.91614 0.84605 0.99847 0.80738 0.94342 0.89540

3.80 0.90497 0.83782 0.98681 0.80035 0.93430 0.88659

4.00 0.89480 0.83025 0.97625 0.79382 0.92597 0.87851

4.50 0.87295 0.81361 0.95363 0.77930 0.90781 0.86092

5.00 0.85480 0.79950 0.93505 0.76681 0.89260 0.84614

5.50 0.83943 0.78728 0.91939 0.75586 0.87952 0.83344

6.00 0.82619 0.77652 0.90586 0.74612 0.86806 0.82234

6.50 0.81454 0.76692 0.89403 0.73736 0.85787 0.81247

7.00 0.80416 0.75826 0.88353 0.72939 0.84870 0.80358 '

7.50 0.79481 0.75037 0.87407 0.72209 0.84037 0.79552

8.00 0.78632 0.74314 0.86548 0.71536 0.83273 0.78813

8.50 0.77855 0.73645 0.85763 0.70912 0.82568 0.78132

9.00 0.77140 0.73025 0.85041 0.70330 0.81914 0.77500

9.50 0.76479 0.72446 0.84371 0.69785 0.81303 0.76911

10.00 0.75865 0.71903 0.83747 0.69273 0.80731 0.76359

11.00 0.74749 0.70910 0.82614 0.68333 0.79684 0.75349

12.00 0.73760 0.70021 0.81606 0.67488 0.78744 0.74445

13.00 0.72874 0.69216 0.80699 0.66720 0.77893 0.73626

14.00 0.72069 0.68481 0.79874 0.66018 0.77114 0.72877

37
Collision integrals for the (13, 6, 8) votential function for y = 0.8 T* ft< i . »* n°’ 3)* ft< 2 . 3 )* n<3- 3) * T* n(i - » ft(1 - 2) * n<2- 2)* n(i - 3>* n<2- 3)* n<3 - 3)*

0.10 3.55838 3.18092 3.70224 2.92010 3.40770 3.37341 15.00 0.71713 0.68211 0.79459 0.65791 0.76765 0.72569

0.15 3.12171 2.77827 3.26268 2.53943 3.00786 2.94388 16.00 0.71040 0.67589 0.78768 0.65194 0.76107 0.71936

0.20 2.83279 2.50508 2.98453 2.26884 2.75596 2.65234 17.00 0.70417 0.67011 0.78126 0.64638 0.75493 0.71347

0.25 2.61579 2.29300 2.78549 2.05313 2.56602 2.42978 18.00 0.69836 0.66470 0.77527 0.64117 0.74919 0.70796

0.30 2.43915 2.11764 2.62551 1.87741 2.40546 2.25105 19.00 0.69293 0.65963 0.76965 0.63629 0.74380 0.70278

0.35 2.29087 1.97052 2.48843 1.73396 2.26410 2.10292 20.00 0.68783 0.65486 0.76437 0.63169 0.73871 0.69791

0.40 2.16315 1.84616 2.36686 1.61801 2.13839 1.97976 22.00 0.67849 0.64608 0.75465 0.62321 0.72934 0.68893

0.45 2.05186 1.74115 2.25797 1.52160 2.02258 1.87320 24.00 0.67009 0.63817 0.74589 0.61557 0.72087 0.68082

0.50 1.95480 1.65092 2.15808 1.44339 1.92457 1.78240 26.00 0.66247 0.63097 0.73792 0.60861 0.71315 0.67343

0.55 1.86851 1.57362 2.06981 1.37621 1.83302 1.70183 28.00 0.65551 0.62437 0.73061 0.60222 0.70606 0.66665

0.60 1.79298 1.50670 1.98654 1.32078 1.75589 1.63205 30.00 0.64910 0.61828 0.72386 0.59633 0.69951 0.66039

0.65 1.72553 1.44977 1.91571 1.27473 1.68642 1.57215 32.00 0.64316 0.61264 0.71759 0.59086 0.69342 0.65457

0.70 1.66501 1.39879 1.84660 1.23402 1.62405 1.51780 34.00 0.63763 0.60738 0.71175 0.58577 0.68773 0.64915

0.75 1.61148 1.35386 1.78505 1.19885 1.56934 1.46938 36.00 0.63247 0.60245 0.70627 0.58100 0.68240 0.64406

0.80 1.56286 1.31493 1.73155 1.16833 1.52082 1.42611 38.00 0.62762 0.59783 0.70112 0.57651 0.67739 0.63928

0.85 1.51775 1.28154 1.68179 1.14190 1.47698 1.38807 40.00 0.62305 0.59347 0.69627 0.57229 0.67266 0.63477

0.90 1.47802 1.25075 1.63548 1.11845 1.43784 1.35378 45.00 0.61268 0.58356 0.68521 0.56269 0.66189 0.62451

0.95 1.44209 1.22235 1.59295 1.09736 1.40266 1.32247 50.00 0.60354 0.57482 0.67543 0.55421 0.65236 0.61543

1.00 1.40937 1.19702 1.55461 1.07846 1.37100 1.29403 55.00 0.59538 0.56701 0.66668 0.54664 0.64383 0.60731

1.10 1.34918 1.15375 1.48703 1.04611 1.31635 1.24466 60.00 0.58801 0.55996 0.65876 0.53981 0.63611 0.59997

1.20 1.30044 1.11827 1.42948 1.01937 1.27047 1.20351 65.00 0.58131 0.55354 0.65154 0.53358 0.62907 0.59327

1.30 1.26005 1.08773 1.38030 0.99678 1.23200 1.16855 70.00 0.57517 0.54765 0.64490 0.52788 0.62260 0.58712

1.40 1.22245 1.06172 1.33820 0.97740 1.19935 1.13845 75.00 0.56949 0.54221 0.63877 0.52261 0.61663 0.58144

1.50 1.18939 1.03924 1.30118 0.96053 1.17123 1.11235 80.00 0.56423 0.53717 0.63307 0.51773 0.61107 0.57617

1.60 1.16056 1.01961 1.26838 0.94574 1.14681 1.08960 85.00 0.55933 0.53247 0.62775 0.51317 0.60589 0.57124

1.70 1.13597 1.00225 1.23964 0.93263 1.12535 1.06957 90.00 0.55474 0.52807 0.62277 0.50891 0.60103 0.56663

1.80 1.11403 0.98679 1.21430 0.92089 1.10633 1.05180 95.00 0.55043 0.52394 0.61808 0.50491 0.59647 0.56230

1.90 1.09384 0.97284 1.19163 0.91027 1.08940 1.03588 100.00 0.54637 0.52005 0.61365 0.50113 0.59216 0.55821

2.00 1.07560 0.96023 1.17123 0.90060 1.07424 1.02153 125.00 0.52899 0.50340 0.59468 0.48500 0.57369 0.54069

2.20 1.04405 0.93843 1.13617 0.88361 1.04817 0.99670 150.00 0.51515 0.49013 0.57952 0.47216 0.55893 0.52670

2.40 1.01763 0.92010 1.10678 0.86910 1.02642 0.97589 175.00 0.50369 0.47916 0.56692 0.46154 0.54668 0.51510

2.60 0.99508 0.90428 1.08200 0.85644 1.00806 0.95819 200.00 0.49395 0.46983 0.55619 0.45251 0.53624 0.50522

2.80 0.97549 0.89046 1.06086 0.84524 0.99217 0.94294

3.00 0.95820 0.87828 1.04257 0.83523 0.97829 0.92958

3.20 0.94315 0.86741 1.02651 0.82620 0.96602 0.91771

3.40 0.92981 0.85759 1.01224 0.81797 0.95505 0.90709

3.60 0.91781 0.84869 0.99949 0.81043 0.94516 0.89750

3.80 0.90684 0.84053 0.98801 0.80346 0.93616 0.88879

4.00 0.89679 0.83304 0.97757 0.79699 0.92792 0.88080

4.50 0.87517 0.81657 0.95521 0.78260 0.90998 0.86340

5.00 0.85727 0.80260 0.93687 0.77023 0.89493 0.84879

5.50 0.84206 0.79050 0.92138 0.75938 0.88200 0.83622

6.00 0.82895 0.77984 0.90804 0.74972 0.87068 0.82523

6.50 0.81743 0.77032 0.89634 0.74102 0.86060 0.81546

7.00 0.80717 0.76174 0.88595 0.73311 0.85153 0.80667

7.50 0.79792 0.75392 0.87660 0.72587 0.84329 0.79868

8.00 0.78952 0.74674 0.86812 0.71919 0.83574 0.79136

8.50 0.78182 0.74011 0.86036 0.71299 0.82876 0.78462

9.00 0.77473 0.73395 0.85321 0.70721 0.82229 0.77836

9.50 0.76818 0.72821 0.84658 0.70180 0.81624 0.77251

10.00 0.76208 0.72282 0.84041 0.69671 0.81058 0.76704

11.00 0.75103 0.71296 0.82920 0.68737 0.80021 0.75704

12.00 0.74122 0.70413 0.81923 0.67897 0.79091 0.74807

13.00 0.73242 0.69613 0.81025 0.67133 0.78247 0.73994

14.00 0.72444 0.68883 0.80208 0.66435 0.77476 0.73252

38
Collision integrals for the {13, 6, 8) potential function for y= 1.0 T* ft< i - u* n«- 2) * n< 2- 2) * n(2 > 3>* n<3* 3) * T* nu- 2) * n< 2- 2) * nu- 3) * n12 ’ 3)* n< 3- 3)*

0.10 3.48468 3.11960 3.63461 2.87009 3.35159 3.31262 15.00 0.71889 0.68399 0.79618 0.65985 0.76936 0.72745

0.15 3.06246 2.73264 3.20592 2.50420 2.96199 2.89980 16.00 0.71219 0.67779 0.78929 0.65390 0.76280 0.72114

0.20 2.78593 2.47147 2.93905 2.24233 2.71649 2.61700 17.00 0.70597 0.67202 0.78290 0.64835 0.75669 0.71527

0.25 2.57597 2.26531 2.74523 2.03442 2.53341 2.40211 18.00 0.70018 0.66663 0.77694 0.64316 0.75097 0.70978

0.30 2.40739 2.09641 2.59119 1.86424 2.37881 2.22907 19.00 0.69477 0.66157 0.77134 0.63828 0.74559 0.70462

0.35 2.26330 1.95390 2.45883 1.72485 2.24177 2.08597 20.00 0.68969 0.65681 0.76608 0.63369 0.74053 0.69976

0.40 2.13977 1.83316 2.34146 1.61104 2.11919 1.96546 22.00 0.68037 0.64805 0.75640 0.62523 0.73119 0.69080

0.45 2.03194 1.73110 2.23635 1.51569 2.00768 1.85994 24.00 0.67199 0.64015 0.74767 0.61759 0.72275 0.68272

0.50 1.93769 1.64155 2.13873 1.43918 1.91199 1.77209 26.00 0.66439 0.63296 0.73973 0.61064 0.71505 0.67535

0.55 1.85431 1.56705 2.05316 1.37332 1.82341 1.69321 28.00 0.65745 0.62638 0.73245 0.60426 0.70798 0.66859

0.60 1.78034 1.50041 1.97199 1.31826 1.74643 1.62485 30.00 0.65105 0.62030 0.72572 0.59838 0.70145 0.66234

0.65 1.71424 1.44477 1.90188 1.27269 1.67938 1.56554 32.00 0.64512 0.61466 0.71947 0.59292 0.69537 0.65653

0.70 1.65571 1.39541 1.83673 1.23280 1.61832 1.51259 34.00 0.63961 0.60941 0.71365 0.58782 0.68970 0.65112

0.75 1.60206 1.35042 1.77523 1.19789 1.56412 1.46492 36.00 0.63445 0.60449 0.70819 0.58306 0.68439 0.64604

0.80 1.55544 1.31195 1.72174 1.16751 1.51615 1.42224 38.00 0.62961 0.59987 0.70305 0.57858 0.67939 0.64127

0.85 1.51154 1.27882 1.67394 1.14122 1.47326 1.38445 40.00 0.62505 0.59551 0.69821 0.57436 0.67467 0.63677

0.90 1.47138 1.24892 1.62916 1.11801 1.43460 1.35069 45.00 0.61469 0.58561 0.68718 0.56476 0.66392 0.62652

0.95 1.43657 1.22097 1.58715 1.09718 1.39978 1.31995 50.00 0.60557 0.57688 0.67743 0.55629 0.65441 0.61746

1.00 1.40448 1.19588 1.54918 1.07837 1.36837 1.29182 55.00 0.59741 0.56907 0.66869 0.54872 0.64589 0.60935

1.10 1.34554 1.15272 1.48264 1.04622 1.31432 1.24300 60.00 0.59006 0.56202 0.66079 0.54188 0.63819 0.60201

1.20 1.29683 1.11761 1.42595 1.01965 1.26908 1.20218 65.00 0.58336 0.55561 0.65358 0.53566 0.63116 0.59532

1.30 1.25706 1.08748 1.37727 0.99720 1.23084 1.16760 70.00 0.57722 0.54972 0.64696 0.52995 0.62470 0.58918

1.40 1.22076 1.06167 1.33560 0.97794 1.19845 1.13781 75.00 0.57155 0.54428 0.64083 0.52468 0.61873 0.58350

1 . 50 - 1.18800 1.03928 1.29913 0.96117 1.17055 1.11193 80.00 0.56629 0.53924 0.63514 0.51979 0.61318 0.57823

1.60 1.15919 1.01979 1.26683 0.94647 1.14634 1.08933 85.00 0.56139 0.53454 0.62983 0.51524 0.60800 0.57331

1.70 1.13462 1.00255 1.23824 0.93341 1.12505 1.06944 90.00 0.55680 0.53014 0.62485 0.51097 0.60315 0.56870

1.80 1.11299 0.98720 1.21304 0.92173 1.10617 1.05180 95.00 0.55249 0.52601 0.62017 0.50697 0.59859 0.56437

1.90 1.09324 0.97339 1.19061 0.91118 1.08935 1.03600 100.00 0.54843 0.52212 0.61575 0.50319 0.59428 0.56028

2.00 1.07505 0.96083 1.17039 0.90156 1.07427 1.02176 125.00 0.53106 0.50545 0.59680 0.48705 0.57582 0.54277

2.20 1.04383 0.93914 1.13562 0.88465 1.04836 0.99710 150.00 0.51721 0.49218 0.58164 0.47419 0.56106 0.52877

2.40 1.01763 0.92091 1.10655 0.87022 1.02672 0.97644 175.00 0.50575 0.48119 0.56905 0.46355 0.54881 0.51717

2.60 0.99525 0.90520 1.08191 0.85762 1.00857 0.95878 200.00 0.49599 0.47185 0.55832 0.45450 0.53837 0.50728

2.80 0.97589 0.89146 1.06089 0.84648 0.99273 0.94364

3.00 0.95871 0.87934 1.04273 0.83652 0.97887 0.93039

3.20 0.94376 0.86852 1.02680 0.82753 0.96668 0.91858

3.40 0.93043 0.85876 1.01264 0.81934 0.95578 0.90802

3.60 0.91854 0.84989 0.99995 0.81183 0.94597 0.89847

3.80 0.90768 0.84179 0.98853 0.80489 0.93702 0.88980

4.00 0.89770 0.83432 0.97816 0.79845 0.92882 0.88186

4.50 0.87618 0.81794 0.95593 0.78413 0.91099 0.86454

5.00 0.85841 0.80403 0.93771 0.77181 0.89600 0.85001

5.50 0.84327 0.79199 0.92231 0.76100 0.88316 0.83751

6.00 0.83021 0.78137 0.90905 0.75138 0.87189 0.82657

6.50 0.81876 0.77190 0.89740 0.74271 0.86186 0.81684

7.00 0.80855 0.76335 0.88706 0.73484 0.85284 0.80809

7.50 0.79935 0.75556 0.87779 0.72762 0.84464 0.80014

8.00 0.79099 0.74841 0.86935 0.72096 0.83713 0.79286

8.50 0.78333 0.74180 0.86162 0.71478 0.83019 0.78614

9.00 0.77628 0.73567 0.85450 0.70902 0.82375 0.77991

9.50 0.76974 0.72994 0.84791 0.70363 0.81773 0.77409

10.00 0.76367 0.72457 0.84177 0.69855 0.81209 0.76864

11.00 0.75267 0.71475 0.83062 0.68924 0.80177 0.75868

12.00 0.74289 0.70594 0.82070 0.68086 0.79251 0.74974

13.00 0.73412 0.69797 0.81176 0.67325 0.78412 0.74165

14.00 0.72617 0.69069 0.80363 0.66628 0.77643 0.73426

39
Collision integrals for the (13, 6, 8) potential function for y =1.5

T* ft* 1 - 1 ** a(i - 2 >* a< 2 - 2) * a(, ' 3) * n<2 - 3>* a<3- 3) * T* na - n* 2) * n< 2 - 2>* na- 3> * n<2- 3)* ft<3. 3)*

0.10 3.29617 2.96797 3.46500 2.74618 3.21013 3.16172 15.00 0.72294 0.68832 0.79982 0.66434 0.77329 0.73150

0.15 2.91811 2.62039 3.07285 2.41444 2.85019 2.78637 16.00 0.71629 0.68216 0.79301 0.65841 0.76679 0.72524

0.20 2.66796 2.38466 2.82867 2.17827 2.62450 2.53043 17.00 0.71013 0.67642 0.78668 0.65289 0.76073 0.71942

0.25 2.47960 2.19892 2.65151 1.98849 2.45641 2.33390 18.00 0.70438 0.67106 0.78078 0.64772 0.75506 0.71397

0.30 2.32531 2.04418 2.50954 1.83068 2.31430 2.17385 19.00 0.69901 0.66603 0.77524 0.64287 0.74974 0.70885

0.35 2.19579 1.91294 2.38827 1.70079 2.18896 2.04106 20.00 0.69396 0.66130 0.77002 0.63829 0.74471 0.70402

0.40 2.08243 1.80018 2.27985 1.59227 2.07472 1.92726 22.00 0.68469 0.65258 0.76044 0.62987 0.73545 0.69513

0.45 1.98309 1.70435 2.18282 1.50339 1.97349 1.83071 24.00 0.67637 0.64472 0.75178 0.62226 0.72707 0.68709

0.50 1.89572 1.62119 2.09383 1.42828 1.88333 1.74573 26.00 0.66882 0.63756 0.74391 0.61533 0.71943 0.67977

0.55 1.81802 1.55012 2.01313 1.36668 1.80043 1.67299 28.00 0.66191 0.63100 0.73668 0.60897 0.71241 0.67304

0.60 1.74842 1.48732 1.93886 1.31246 1.72564 1.60690 30.00 0.65554 0.62494 0.73001 0.60310 0.70592 0.66683

0.65 1.68684 1.43252 1.87037 1.26745 1.66138 1.54965 32.00 0.64964 0.61932 0.72381 0.59765 0.69988 0.66105

0.70 1.63125 1.38580 1.81041 1.22945 1.60412 1.49956 34.00 0.64415 0.61409 0.71802 0.59257 0.69425 0.65566

0.75 1.58134 1.34354 1.75343 1.19547 1.55180 1.45398 36.00 0.63902 0.60918 0.71260 0.58781 0.68896 0.65061

0.80 1.53567 1.30519 1.70059 1.16575 1.50542 1.41300 38.00 0.63420 0.60457 0.70750 0.58334 0.68399 0.64586

0.85 1.49550 1.27221 1.65428 1.13962 1.46396 1.37604 40.00 0.62965 0.60023 0.70269 0.57912 0.67930 0.64138

0.90 1.45747 1.24357 1.61250 1.11683 1.42667 1.34318 45.00 0.61934 0.59035 0.69173 0.56953 0.66860 0.63117

0.95 1.42240 1.21749 1.57328 1.09653 1.39292 1.31360 50.00 0.61023 0.58163 0.68203 0.56107 0.65914 0.62214

1.00 1.39212 1.19295 1.53635 1.07819 1.36238 1.28655 55.00 0.60210 0.57383 0.67334 0.55350 0.65065 0.61405

1.10 1.33737 1.15049 1.47187 1.04646 1.30959 1.23896 60.00 0.59476 0.56679 0.66547 0.54667 0.64297 0.60673

1.20 1.28872 1.11584 1.41727 1.02024 1.26558 1.19907 65.00 0.58808 0.56038 0.65830 0.54044 0.63597 0.60006

1.30 1.24915 1.08673 1.37019 0.99813 1.22821 1.16526 70.00 0.58195 0.55449 0.65170 0.53473 0.62952 0.59393

1.40 1.21575 1.06127 1.32936 0.97915 1.19633 1.13620 75.00 0.57629 0.54906 0.64560 0.52946 0.62357 0.58826

1.50 1.18437 1.03938 1.29411 0.96264 1.16899 1.11088 80.00 0.57104 0.54402 0.63993 0.52456 0.61804 0.58300

1.60 1.15641 1.02014 1.26287 0.94809 1.14517 1.08867 85.00 0.56614 0.53931 0.63463 0.52000 0.61287 0.57808

1.70 1.13159 1.00321 1.23501 0.93520 1.12429 1.06912 90.00 0.56156 0.53491 0.62967 0.51573 0.60803 0.57348

1.80 1.11027 0.98810 1.21020 0.92365 1.10576 1.05176 95.00 0.55725 0.53078 0.62500 0.51172 0.60347 0.56915

1.90 1.09132 0.97453 1.18817 0.91324 1.08921 1.03624 100.00 0.55319 0.52688 0.62059 0.50794 0.59917 0.56506

2.00 1.07392 0.96223 1.16845 0.90375 1.07435 1.02225 125.00 0.53581 0.51019 0.60168 0.49175 0.58073 0.54755

2.20 1.04322 0.94075 1.13433 0.88705 1.04878 0.99799 150.00 0.52195 0.49689 0.58654 0.47886 0.56598 0.53355

2.40 1.01752 0.92274 1.10591 0.87278 1.02738 0.97768 175.00 0.51047 0.48588 0.57396 0.46819 0.55373 0.52193

2.60 0.99559 0.90729 1.08173 0.86033 1.00947 0.96027 200.00 0.50070 0.47651 0.56323 0.45911 0.54328 0.51203

2.80 0.97660 0.89374 1.06099 0.84933 0.99401 0.94523

3.00 0.95993 0.88176 1.04307 0.83948 0.98033 0.93216

3.20 0.94499 0.87107 1.02739 0.83058 0.96823 0.92056

3.40 0.93190 0.86144 1.01349 0.82248 0.95749 0.91013

3.60 0.92012 0.85268 1.00102 0.81505 0.94778 0.90072

3.80 0.90951 0.84466 0.98976 0.80819 0.93898 0.89213

4.00 0.89976 0.83728 0.97954 0.80182 0.93090 0.88429

4.50 0.87851 0.82107 0.95762 0.78765 0.91328 0.86719

5.00 0.86098 0.80733 0.93962 0.77545 0.89849 0.85282

5.50 0.84604 0.79541 0.92443 0.76474 0.88579 0.84048

6.00 0.83313 0.78490 0.91134 0.75521 0.87468 0.82965

6.50 0.82181 0.77552 0.89986 0.74662 0.86478 0.82003

7.00 0.81173 0.76705 0.88964 0.73881 0.85586 0.81138

7.50 0.80264 0.75933 0.88047 0.73165 0.84776 0.80351

8.00 0.79437 0.75225 0.87216 0.72504 0.84033 0.79631

8.50 0.78680 0.74570 0.86453 0.71891 0.83347 0.78966

9.00 0.77982 0.73962 0.85750 0.71320 0.82710 0.78348

9.50 0.77335 0.73394 0.85098 0.70784 0.82116 0.77773

10.00 0.76733 0.72861 0.84491 0.70280 0.81558 0.77233

11.00 0.75643 0.71887 0.83389 0.69355 0.80537 0.76246

12.00 0.74675 0.71013 0.82408 0.68523 0.79621 0.75361

13.00 0.73805 0.70221 0.81524 0.67766 0.78790 0.74559

14.00 0.73016 0.69498 0.80720 0.67073 0.78029 0.73825

40
Collision integrals for the (13, 6, 8) potential function for y — 2.0 T* n«- ft<l- 2>* n<2- 2)* n°- 3>* Q<2. 3)* n<3- 3) * T* »* 2>* n<2- 2)* n«- 3) * n<2 - 3)* ft<3. 3)*

Q

.10 3.11009 2.82122 3.29799 2.62472 3.06897 3.01282 15.00 0.72658 0.69221 0.80310 0.66837 0.77682 0.73515

0.15 2.77688 2.51426 2.94744 2.32911 2.74335 2.67844 16.00 0.71998 0.68608 0.79636 0.66247 0.77038 0.72894

0.20 2.55528 2.30167 2.72268 2.11694 2.53692 2.44749 17.00 0.71386 0.68038 0.79009 0.65697 0.76437 0.72315

0.25 2.38690 2.13503 2.56140 1.94392 2.38284 2.26827 18.00 0.70815 0.67505 0.78423 0.65183 0.75875 0.71774

0.30 2.24770 1.99363 2.43132 1.79898 2.25362 2.12172 19.00 0.70281 0.67005 0.77874 0.64699 0.75346 0.71265

0.35 2.13004 1.87318 2.32065 1.67734 2.13843 1.99844 20.00 0.69779 0.66533 0.77357 0.64243 0.74848 0.70786

0.40 2.02668 1.76907 2.22181 1.57539 2.03375 1.89283 22.00 0.68859 0.65665 0.76407 0.63404 0.73928 0.69902

0.45 1.93580 1.67908 2.13217 1.49091 1.93949 1.80250 24.00 0.68031 0.64882 0.75548 0.62645 0.73096 0.69103

0.50 1.85482 1.60137 2.05040 1.41837 1.85231 1.72130 26.00 0.67279 0.64169 0.74767 0.61954 0.72337 0.68375

0.55 1.78290 1.53239 1.97389 1.35886 1.77658 1.65250 28.00 0.66592 0.63516 0.74049 0.61320 0.71640 0.67705

0.60 1.71830 1.47412 1.90598 1.30758 1.70699 1.59050 30.00 0.65958 0.62912 0.73387 0.60734 0.70994 0.67087

0.65 1.66028 1.42133 1.84156 1.26306 1.64451 1.53518 32.00 0.65371 0.62352 0.72771 0.60191 0.70394 0.66512

0.70 1.60790 1.37602 1.78402 1.22544 1.58967 1.48647 34.00 0.64824 0.61829 0.72196 0.59683 0.69834 0.65976

0.75 1.56120 1.33605 1.73170 1.19317 1.54038 1.44352 36.00 0.64313 0.61340 0.71657 0.59208 0.69308 0.65473

0.80 1.51766 1.29964 1.68197 1.16400 1.49531 1.40403 38.00 0.63832 0.60881 0.71151 0.58762 0.68813 0.64999

0.85 1.47850 1.26668 1.63629 1.13840 1.45524 1.36849 40.00 0.63379 0.60447 0.70672 0.58341 0.68346 0.64553

0.90 1.44355 1.23799 1.59572 1.11567 1.41905 1.33623 45.00 0.62351 0.59461 0.69582 0.57383 0.67281 0.63535

0.95 1.41047 1.21298 1.55893 1.09573 1.38640 1.30740 50.00 0.61443 0.58590 0.68617 0.56537 0.66338 0.62635

1.00 1.37972 1.19011 1.52445 1.07781 1.35674 1.28129 55.00 0.60632 0.57811 0.67752 0.55780 0.65493 0.61828

1.10 1.32777 1.14858 1.46186 1.04664 1.30515 1.23517 60.00 0.59900 0.57108 0.66969 0.55097 0.64728 0.61098

1.20 1.28216 1.11415 1.40894 1.02075 1.26222 1.19619 65.00 0.59233 0.56467 0.66254 0.54474 0.64029 0.60432

1.30 1.24244 1.08564 1.36339 0.99892 1.22574 1.16307 70.00 0.58620 0.55878 0.65596 0.53902 0.63387 0.59820

1.40 1.20936 1.06102 1.32382 0.98020 1.19446 1.13461 75.00 0.58055 0.55335 0.64988 0.53375 0.62793 0.59254

1.50 1.18072 1.03928 1.28918 0.96390 1.16751 1.10985 80.00 0.57531 0.54831 0.64423 0.52885 0.62240 0.58728

1.60 1.15354 1.02042 1.25894 0.94955 1.14412 1.08807 85.00 0.57041 0.54360 0.63895 0.52428 0.61725 0.58237

1.70 1.12941 1.00372 1.23192 0.93678 1.12354 1.06881 90.00 0.56583 0.53920 0.63400 0.52001 0.61241 0.57777

1.80 1.10779 0.98886 1.20768 0.92537 1.10534 1.05172 95.00 0.56153 0.53506 0.62934 0.51599 0.60787 0.57345

1.90 1.08910 0.97548 1.18596 0.91506 1.08906 1.03643 100.00 0.55747 0.53116 0.62495 0.51220 0.60357 0.56936

2.00 1.07235 0.96338 1.16654 0.90569 1.07442 1.02266 125.00 0.54008 0.51445 0.60607 0.49599 0.58515 0.55185

2.20 1.04249 0.94222 1.13311 0.88918 1.04918 0.99877 150.00 0.52621 0.50113 0.59094 0.48306 0.57040 0.53785

2.40 1.01732 0.92439 1.10524 0.87504 1.02819 0.97871 175.00 0.51472 0.49009 0.57837 0.47236 0.55815 0.52622

2.60 0.99582 0.90910 1.08153 0.86275 1.01028 0.96160 200.00 0.50493 0.48069 0.56764 0.46325 0.54769 0.51630

2.80 0.97714 0.89576 1.06110 0.85187 0.99503 0.94673

3.00 0.96079 0.88393 1.04339 0.84213 0.98164 0.93374

3.20 0.94625 0.87334 1.02790 0.83332 0.96968 0.92229

3.40 0.93314 0.86382 1.01420 0.82529 0.95900 0.91203

3.60 0.92155 0.85516 1.00194 0.81794 0.94943 0.90271

3.80 0.91103 0.84723 0.99085 0.81114 0.94071 0.89424

4.00 0.90150 0.83992 0.98077 0.80484 0.93275 0.88647

4.50 0.88061 0.82387 0.95912 0.79080 0.91534 0.86956

5.00 0.86323 0.81027 0.94133 0.77871 0.90073 0.85534

5.50 0.84854 0.79847 0.92634 0.76809 0.88816 0.84313

6.00 0.83573 0.78806 0.91340 0.75864 0.87717 0.83242

6.50 0.82452 0.77877 0.90206 0.75012 0.86739 0.82289

7.00 0.81456 0.77037 0.89197 0.74237 0.85857 0.81432

7.50 0.80557 0.76271 0.88289 0.73527 0.85055 0.80654

8.00 0.79740 0.75569 0.87466 0.72871 0.84321 0.79940

8.50 0.78991 0.74920 0.86714 0.72262 0.83642 0.79281

9.00 0.78300 0.74316 0.86019 0.71694 0.83012 0.78670

9.50 0.77659 0.73752 0.85374 0.71162 0.82424 0.78099

10.00 0.77062 0.73224 0.84773 0.70662 0.81872 0.77564

11.00 0.75980 0.72256 0.83682 0.69743 0.80861 0.76586

12.00 0.75021 0.71388 0.82711 0.68915 0.79953 0.75708

13.00 0.74158 0.70602 0.81837 0.68162 0.79130 0.74913

14.00 0.73375 0.69883 0.81041 0.67473 0.78377 0.74185

41
Collision integrals for the (14, 6, 8) potential function for y = 0. T* ft”. i >* nu- 2) * n(2- 2> * ft«. 3>* n<2 - 3) * n<3 - 3) * T* n(i - *>* n(i - 2>* ft< 2 - 2>* nu* 3) * n<2 > 3)* 3>*

0.10 3.74955 3.32566 3.86705 3.03915 3.54853 3.52094 15.00 0.72211 0.68775 0.79790 0.66410 0.77145 0.73050

0.15 3.26393 2.88125 3.38573 2.61902 3.11145 3.04821 16.00 0.71551 0.68168 0.79111 0.65829 0.76500 0.72431

0.20 2.94285 2.58265 3.08662 2.32299 2.83822 2.72967 17.00 0.70940 0.67603 0.78481 0.65287 0.75900 0.71855

0.25 2.70426 2.35031 2.87010 2.09002 2.63203 2.48865 18.00 0.70371 0.67076 0.77894 0.64780 0.75339 0.71317

0.30 2.51194 2.16109 2.69680 1.90244 2.45773 2.29615 19.00 0.69840 0.66581 0.77344 0.64304 0.74812 0.70812

0.35 2.35046 2.00327 2.54790 1.75184 2.30468 2.13898 20.00 0. 6934i 0.66116 0.76827 0.63856 0.74315 0.70336

0.40 2.21255 1.87150 2.41698 1.63041 2.16993 2.00788 22.00 0.68427 0.65260 0.75876 0.63032 0.73401 0.69460

0.45 2.09367 1.76039 2.29971 1.53098 2.05302 1.89598 24.00 0.67607 0.64489 0.75020 0.62288 0.72575 0.68670

0.50 1.98999 1.66781 2.19565 1.45037 1.94441 1.80116 26.00 0.66863 0.63788 0.74241 0.61611 0.71822 0.67950

0.55 1.89917 1.58583 2.09835 1.38228 1.85065 1.71797 28.00 0.66184 0.63146 0.73527 0.60990 0.71131 0.67290

0.60 1.81897 1.51840 2.01453 1.32673 1.77041 1.64656 30.00 0.65558 0.62553 0.72868 0.60417 0.70492 0.66680

0.65 1.74851 1.45899 1.93729 1.27895 1.69774 1.58361 32.00 0.64979 0.62004 0.72257 0.59886 0.69899 0.66114

0.70 1.68475 1.40578 1.86496 1.23773 1.63382 1.52754 34.00 0.64441 0.61492 0.71687 0.59391 0.69346 0.65585

0.75 1.62945 1.36078 1.80279 1.20216 1.57768 1.47764 36.00 0.63937 0.61013 0.71153 0.58927 0.68827 0.65091

0.80 1.57747 1.32222 1.74708 1.17171 1.52771 1.43389 38.00 0.63465 0.60564 0.70652 0.58492 0.68339 0.64625

0.85 1.53162 1.28720 1.69471 1.14503 1.48301 1.39496 40.00 0.63020 0.60140 0.70179 0.58082 0.67879 0.64187

0.90 1.49120 1.25503 1.64633 1.12122 1.44300 1.35963 45.00 0.62011 0.59177 0.69102 0.57149 0.66831 0.63188

0.95 1.45402 1.22651 1.60310 1.10001 1.40726 1.32767 50.00 0.61122 0.58328 0.68150 0.56326 0.65905 0.62306

1.00 1.41851 1.20089 1.56382 1.08109 1.37516 1.29882 55.00 0.60328 0.57569 0.67298 0.55591 0.65075 0.61516

1.10 1.35808 1.15773 1.49444 1.04867 1.31951 1.24877 60.00 0.59612 0.56884 0.66528 0.54928 0.64325 0.60802

1.20 1.30966 1.12152 1.43551 1.02187 1.27311 1.20709 65.00 0.58960 0.56261 0.65825 0.54324 0.63641 0.60151

1.30 1.26634 1.09088 1.38568 0.99926 1.23435 1.17168 70.00 0.58363 0.55689 0.65180 0.53770 0.63012 0.59553

1.40 1.22778 1.06465 1.34259 0.97983 1.20140 1.14126 75.00 0.57812 0.55162 0.64584 0.53258 0.62432 0.59001

1.50 1.19414 1.04209 1.30474 0.96302 1.17312 1.11501 80.00 0.57301 0.54672 0.64030 0.52784 0.61892 0.58489

1.60 1.16578 1.02238 1.27159 0.94828 1.14853 1.09212 85.00 0.56825 0.54216 0.63513 0.52342 0.61389 0.58011

1.70 1.14093 1.00499 1.24265 0.93521 1.12693 1.07201 90.00 0.56379 0.53789 0.63029 0.51929 0.60917 0.57563

1.80 1.11821 0.98942 1.21699 0.92349 1.10784 1.05415 95.00 0.55960 0.53388 0.62573 0.51540 0.60474 0.57142

1.90 1.09778 0.97543 1.19409 0.91291 1.09087 1.03816 100.00 0.55566 0.53010 0.62144 0.51174 0.60056 0.56745

2.00 1.07945 0.96291 1.17359 0.90328 1.07569 1.02377 125.00 0.53879 0.51393 0.60302 0.49608 0.58264 0.55044

2.20 1.04761 0.94117 1.13812 0.88638 1.04961 0.99891 150.00 0.52535 0.50106 0.58830 0.48362 0.56832 0.53686

2.40 1.02100 0.92283 1.10854 0.87196 1.02795 0.97804 175.00 0.51423 0.49041 0.57609 0.47330 0.55645 0.52561

2.60 0.99832 0.90705 1.08370 0.85939 1.00949 0.96045 200.00 0.50477 0.48135 0.56568 0.46453 0.54634 0.51602

2.80 0.97842 0.89330 1.06255 0.84830 0.99358 0.94526

3.00 0.96132 0.88119 1.04422 0.83838 0.97977 0.93190

3.20 0.94631 0.87036 1.02810 0.82943 0.96755 0.92008

3.40 0.93295 0.86063 1.01381 0.82129 0.95664 0.90950

3.60 0.92086 0.85179 1.00106 0.81383 0.94678 0.89998

3.80 0.90985 0.84371 0.98957 0.80695 0.93781 0.89132

4.00 0.89984 0.83628 0.97916 0.80056 0.92963 0.88339

4.50 0.87835 0.81997 0.95689 0.78637 0.91180 0.86613

5.00 0.86048 0.80616 0.93862 0.77417 0.89688 0.85164

5.50 0.84541 0.79420 0.92322 0.76348 0.88407 0.83921

6.00 0.83241 0.78369 0.90994 0.75398 0.87285 0.82835

6.50 0.82099 0.77431 0.89834 0.74544 0.86288 0.81870

7.00 0.81081 0.76585 0.88805 0.73768 0.85392 0.81002 '

7.50 0.80166 0.75816 0.87878 0.73057 0.84579 0.80215

8.00 0.79335 0.75110 0.87038 0.72402 0.83833 0.79494

8.50 0.78575 0.74459 0.86270 0.71794 0.83146 0.78830

9.00 0.77876 0.73854 0.85564 0.71228 0.82508 0.78214

9.50 0.77231 0.73290 0.84909 0.70698 0.81913 0.77640

10.00 0.76630 0.72761 0.84300 0.70200 0.81356 0.77102

11.00 0.75541 0.71795 0.83194 0.69287 0.80337 0.76120

12.00 0.74577 0.70930 0.82212 0.68466 0.79424 0.75241

13.00 0.73712 0.70147 0.81328 0.67721 0.78596 0.74445

14.00 0.72928 0.69432 0.80525 0.67039 0.77840 0.73718

42
Collision integrals for the {14, 6, 8) potential function for y = 0.2 T* n< i . ft< l - 2>* 2>* n(i - 3) * n<2 - 3)* 3)* T* n(l * *>* na- 2>* n<2 - 2) * n(i - 3) * a<2- 3)* ft<3. 3>*

0.10 3.66488 3.25784 3.79321 2.98018 3.48158 3.45088 15.00 0.72430 0.69009 0.79989 0.66652 0.77358 0.73269

0.15 3.19973 2.83020 3.32862 2.57746 3.06058 2.99609 16.00 0.71773 0.68404 0.79314 0.66071 0.76716 0.72652

0.20 2.88776 2.54240 3.03605 2.29253 2.79515 2.68842 17.00 0.71165 0.67841 0.78687 0.65531 0.76118 0.72079

0.25 2.65971 2.31897 2.82606 2.06841 2.59611 2.45607 18.00 0.70598 0.67315 0.78103 0.65025 0.75559 0.71542

0.30 2.47457 2.13651 2.65882 1.88682 2.42827 2.26978 19.00 0.70068 0.66822 0.77555 0.64550 0.75034 0.71039

0.35 2.31866 1.98452 2.51541 1.74028 2.27987 2.11733 20.00 0.69571 0.66357 0.77040 0.64103 0.74539 0.70564

0.40 2.18577 1.85684 2.38900 1.62262 2.15066 1.99090 22.00 0.68660 0.65503 0.76093 0.63280 0.73628 0.69691

0.45 2.07071 1.74864 2.27611 1.52482 2.03478 1.88154 24.00 0.67843 0.64734 0.75240 0.62537 0.72804 0.68902

0.50 1.97030 1.65813 2.17336 1.44613 1.93101 1.78958 26.00 0.67101 0.64034 0.74464 0.61861 0.72054 0.68184

0.55 1.88209 1.57822 2.08023 1.37877 1.83870 1.70781 28.00 0.66423 0.63393 0.73753 0.61241 0.71365 0.67525

0.60 1.80432 1.51148 1.99697 1.32349 1.76032 1.63733 30.00 0.65799 0.62801 0.73096 0.60668 0.70728 0.66917

0.65 1.73617 1.45380 1.92354 1.27693 1.68948 1.57637 32.00 0.65222 0.62253 0.72487 0.60138 0.70137 0.66352

0.70 1.67313 1.40141 1.85228 1.23600 1.62651 1.52111 34.00 0.64684 0.61742 0.71919 0.59643 0.69585 0.65825

0.75 1.61967 1.35675 1.79113 1.20085 1.57168 1.47208 36.00 0.64182 0.61264 0.71387 0.59180 0.69068 0.65331

0.80 1.56926 1.31844 1.73677 1.17063 1.52236 1.42900 38.00 0.63710 0.60814 0.70887 0.58745 0.68582 0.64867

0.85 1.52330 1.28457 1.68585 1.14427 1.47834 1.39075 40.00 0.63266 0.60391 0.70415 0.58335 0.68123 0.64429

0.90 1.48391 1.25304 1.63859 1.12079 1.43904 1.35610 45.00 0.62259 0.59429 0.69342 0.57403 0.67078 0.63433

0.95 1.44764 1.22483 1.59605 1.09973 1.40371 1.32455 50.00 0.61371 0.58580 0.68393 0.56580 0.66154 0.62552

1.00 1.41370 1.19932 1.55765 1.08101 1.37207 1.29614 55.00 0.60578 0.57822 0.67543 0.55846 0.65326 0.61764

1.10 1.35354 1.15650 1.48905 1.04880 1.31716 1.24670 60.00 0.59863 0.57138 0.66775 0.55182 0.64578 0.61052

1.20 1.30516 1.12091 1.43126 1.02222 1.27129 1.20551 65.00 0.59212 0.56515 0.66074 0.54578 0.63896 0.60402

1.30 1.26368 1.09043 1.38191 0.99979 1.23292 1.17053 70.00 0.58615 0.55943 0.65431 0.54024 0.63269 0.59806

1.40 1.22543 1.06451 1.33970 0.98052 1.20032 1.14046 75.00 0.58064 0.55416 0.64836 0.53513 0.62689 0.59254

1.50 1.19222 1.04216 1.30230 0.96382 1.17228 1.11445 80.00 0.57554 0.54926 0.64284 0.53038 0.62151 0.58743

1.60 1.16394 1.02262 1.26953 0.94916 1.14794 1.09178 85.00 0.57078 0.54470 0.63768 0.52596 0.61649 0.58265

1.70 1.13944 1.00538 1.24090 0.93618 1.12654 1.07185 90.00 0.56632 0.54043 0.63285 0.52182 0.61178 0.57818

1.80 1.11728 0.98999 1.21557 0.92455 1.10762 1.05415 95.00 0.56214 0.53642 0.62830 0.51794 0.60736 0.57397

1.90 1.09695 0.97610 1.19287 0.91404 1.09079 1.03831 100.00 0.55819 0.53264 0.62402 0.51427 0.60318 0.57001

2.00 1.07898 0.96364 1.17256 0.90448 1.07572 1.02404 125.00 0.54132 0.51647 0.60563 0.49860 0.58528 0.55301

2.20 1.04738 0.94205 1.13752 0.88769 1.04982 0.99938 150.00 0.52788 0.50358 0.59093 0.48612 0.57097 0.53943

2.40 1.02102 0.92386 1.10822 0.87336 1.02825 0.97873 175.00 0.51675 0.49291 0.57872 0.47579 0.55910 0.52817

2.60 0.99860 0.90819 1.08359 0.86086 1.01001 0.96121 200.00 0.50728 0.48384 0.56831 0.46700 0.54898 0.51857

2.80 0.97898 0.89454 1.06258 0.84983 0.99426 0.94611

3.00 0.96193 0.88250 1.04440 0.83997 0.98053 0.93287

3.20 0.94698 0.87176 1.02843 0.83108 0.96838 0.92114

3.40 0.93377 0.86207 1.01427 0.82299 0.95754 0.91064

3.60 0.92182 0.85329 1.00163 0.81557 0.94775 0.90118

3.80 0.91091 0.84526 0.99024 0.80873 0.93886 0.89257

4.00 0.90096 0.83788 0.97990 0.80237 0.93073 0.88470

4.50 0.87962 0.82167 0.95778 0.78826 0.91304 0.86755

5.00 0.86188 0.80794 0.93964 0.77613 0.89822 0.85316

5.50 0.84690 0.79605 0.92436 0.76550 0.88550 0.84082

6.00 0.83399 0.78559 0.91120 0.75605 0.87437 0.83002

6.50 0.82264 0.77627 0.89967 0.74755 0.86447 0.82043

7.00 0.81254 0.76786 0.88944 0.73982 0.85558 0.81181

7.50 0.80344 0.76020 0.88025 0.73275 0.84749 0.80399

8.00 0.79518 0.75318 0.87191 0.72623 0.84009 0.79682

8.50 0.78763 0.74669 0.86429 0.72018 0.83326 0.79022

9.00 0.78068 0.74067 0.85727 0.71454 0.82693 0.78409

9.50 0.77425 0.73506 0.85077 0.70926 0.82101 0.77838

10.00 0.76828 0.72980 0.84472 0.70430 0.81547 0.77304

11.00 0.75745 0.72018 0.83373 0.69520 0.80534 0.76326

12.00 0.74785 0.71156 0.82397 0.68702 0.79626 0.75451

13.00 0.73924 0.70376 0.81519 0.67959 0.78803 0.74659

14.00 0.73144 0.69664 0.80720 0.67279 0.78050 0.73935

43
Collision integrals for the (14, 6, 8 ) potential function for y = 0.4 T* nw* n* nu- 2) * n<2 > 2) * ftd- 3)* n<2 - 3) * 3) * T* n<2- 2) * 3)* n<2- 3>* ft< 3- 3)*

0.10 3.58113 3.19181 3.72070 2.92393 3.41883 3.38319 15.00 0.72635 0.69228 0.80173 0.66878 0.77556 0.73474

0.15 3.13176 2.77977 3.27041 2.53606 3.00968 2.94437 16.00 0.71981 0.68625 0.79502 0.66299 0.76918 0.72860

0.20 2.83640 2.50228 2.98615 2.26309 2.75273 2.64873 17.00 0.71375 0.68063 0.78879 0.65760 0.76323 0.72288

0.25 2.61555 2.28821 2.78321 2.04719 2.56004 2.42449 18.00 0.70810 0.67539 0.78297 0.65255 0.75766 0.71754

0.30 2.43707 2.11244 2.62090 1.87213 2.39814 2.24520 19.00 0.70282 0.67047 0.77752 0.64781 0.75243 0.71252

0.35 2.28755 1.96550 2.48243 1.72966 2.25643 2.09714 20.00 0.69787 0.66584 0.77239 0.64335 0.74751 0.70779

0.40 2.15935 1.84162 2.36015 1.61462 2.13074 1.97424 22.00 0.68879 0.65732 0.76297 0.63513 0.73843 0.69909

0.45 2.04792 1.73728 2.25099 1.51885 2.01519 1.86781 24.00 0.68064 0.64964 0.75448 0.62772 0.73023 0.69123

0.50 1.95093 1.64739 2.15096 1.44159 1.91783 1.77772 26.00 0.67324 0.64266 0.74675 0.62097 0.72275 0.68407

0.55 1.86491 1.57095 2.06306 1.37503 1.82680 1.69755 28.00 0.66648 0.63626 0.73967 0.61477 0.71588 0.67750

0.60 1.78961 1.50437 1.97987 1.32026 1.75024 1.62836 30.00 0.66026 0.63035 0.73313 0.60906 0.70954 0.67143

0.65 1.72243 1.44815 1.90948 1.27472 1.68139 1.56893 32.00 0.65450 0.62488 0.72706 0.60376 0.70364 0.66580

0.70 1.66236 1.39766 1.84083 1.23448 1.61955 1.51505 34.00 0.64913 0.61977 0.72140 0.59882 0.69814 0.66054

0.75 1.60892 1.35305 1.77951 1.19974 1.56534 1.46708 36.00 0.64412 0.61500 0.71610 0.59419 0.69298 0.65561

0.80 1.56087 1.31462 1.72643 1.16957 1.51726 1.42421 38.00 0.63941 0.61051 0.71111 0.58984 0.68813 0.65098

0.85 1.51604 1.28159 1.67710 1.14345 1.47386 1.38652 40.00 0.63498 0.60628 0.70641 0.58574 0.68356 0.64661

0.90 1.47643 1.25115 1.63119 1.12030 1.43512 1.35259 45.00 0.62492 0.59667 0.69571 0.57643 0.67313 0.63667

0.95 1.44099 1.22303 1.58895 1.09949 1.40030 1.32161 50.00 0.61606 0.58819 0.68624 0.56821 0.66391 0.62787

1.00 1.40856 1.19804 1.55098 1.08082 1.36895 1.29345 55.00 0.60814 0.58062 0.67777 0.56086 0.65566 0.62000

1.10 1.34879 1.15524 1.48399 1.04890 1.31491 1.24464 60.00 0.60100 0.57377 0.67011 0.55422 0.64819 0.61289

1.20 1.30058 1.12020 1.42700 1.02253 1.26954 1.20395 65.00 0.59449 0.56754 0.66311 0.54818 0.64137 0.60640

1.30 1.26062 1.09004 1.37830 1.00026 1.23151 1.16940 70.00 0.58853 0.56183 0.65669 0.54264 0.63511 0.60044

1.40 1.22341 1.06438 1.33663 0.98116 1.19925 1.13968 75.00 0.58303 0.55655 0.65076 0.53752 0.62933 0.59493

1.50 1.19073 1.04219 1.30002 0.96454 1.17146 1.11390 80.00 0.57792 0.55166 0.64524 0.53278 0.62395 0.58982

1.60 1.16218 1.02283 1.26757 0.94999 1.14734 1.09143 85.00 0.57316 0.54710 0.64009 0.52835 0.61893 0.58505

1.70 1.13785 1.00571 1.23915 0.93709 1.12616 1.07166 90.00 0.56871 0.54282 0.63527 0.52421 0.61423 0.58058

1.80 1.11619 0.99048 1.21411 0.92553 1.10739 1.05413 95.00 0.56452 0.53881 0.63073 0.52032 0.60981 0.57637

1.90 1.09626 0.97673 1.19170 0.91509 1.09069 1.03844 100.00 0.56058 0.53503 0.62645 0.51665 0.60564 0.57241

2.00 1.07821 0.96431 1.17154 0.90559 1.07573 1.02429 125.00 0.54371 0.51884 0.60808 0.50096 0.58774 0.55541

2.20 1.04710 0.94285 1.13692 0.88890 1.05003 0.99982 150.00 0.53026 0.50594 0.59339 0.48846 0.57344 0.54183

2.40 1.02102 0.92482 1.10791 0.87467 1.02859 0.97934 175.00 0.51912 0.49526 0.58118 0.47811 0.56156 0.53056

2.60 0.99879 0.90927 1.08346 0.86225 1.01051 0.96191 200.00 0.50964 0.48618 0.57078 0.46931 0.55144 0.52096

2.80 0.97949 0.89570 1.06261 0.85128 0.99488 0.94692

3.00 0.96243 0.88373 1.04457 0.84148 0.98123 0.93379

3.20 0.94762 0.87306 1.02875 0.83264 0.96917 0.92213

3.40 0.93450 0.86344 1.01470 0.82459 0.95840 0.91171

3.60 0 . 92269- 0.85471 1.00215 0.81721 0.94869 0.90230

3.80 0.91190 0.84672 0.99086 0.81040 0.93986 0.89375

4.00 0.90202 0.83938 0.98059 0.80408 0.93178 0.88593

4.50 0.88079 0.82326 0.95862 0.79005 0.91421 0.86888

5.00 0.86323 0.80961 0.94062 0.77798 0.89948 0.85459

5.50 0.84832 0.79779 0.92544 0.76740 0.88684 0.84231

6.00 0.83547 0.78738 0.91236 0.75799 0.87578 0.83158

6.50 0.82420 0.77810 0.90091 0.74953 0.86595 0.82205

7.00 0.81416 0.76973 0.89075 0.74183 0.85711 0.81347

7.50 0.80512 0.76211 0.88162 0.73479 0.84907 0.80569

8.00 0.79691 0.75512 0.87334 0.72829 0.84172 0.79857

8.50 0.78939 0.74867 0.86576 0.72227 0.83493 0.79200

9.00 0.78247 0.74267 0.85878 0.71665 0.82863 0.78590

9.50 0.77607 0.73708 0.85232 0.71139 0.82275 0.78022

10.00 0.77013 0.73184 0.84631 0.70645 0.81724 0.77490

11.00 0.75936 0.72226 0.83539 0.69738 0.80716 0.76518

12.00 0.74980 0.71367 0.82568 0.68922 0.79813 0.75646

13.00 0.74123 0.70590 0.81695 0.68181 0.78994 0.74857

14.00 0.73346 0.69881 0.80901 0.67503 0.78246 0.74137

44
Collision integrals for the (14, 6, 8) potential function for y — 0.6 T* ft* 1 - 1 '* 2>* ft* 2- 2)* na - 3) * ft< 2. 3)* n(3 > 3) * T* n(i - «* 2>* a(2- 2) * ft<l- 3>* n<2 ’ 3)* n(3 * 3)*

0.10 3.50063 3.12436 3.64674 2.86873 3.35717 3.31643 15.00 0.72829 0.69435 0.80347 0.67092 0.77744 0.73667

0.15 3.06682 2.72924 3.20832 2.49699 2.95928 2.89574 16.00 0.72177 0.68833 0.79679 0.66514 0.77108 0.73055

0.20 2.78443 2.46480 2.93613 2.23359 2.70907 2.60952 17.00 0.71573 0.68273 0.79059 0.65976 0.76516 0.72486

0.25 2.57158 2.25746 2.73874 2.02618 2.52376 2.39355 18.00 0.71010 0.67750 0.78480 0.65473 0.75961 0.71953

0.30 2.40172 2.08866 2.58279 1.85717 2.36833 2.22043 19.00 0.70484 0.67259 0.77938 0.65000 0.75441 0.71453

0.35 2.25641 1.94680 2.44944 1.71929 2.23140 2.07799 20.00 0.69991 0.66797 0.77427 0.64554 0.74950 0.70982

0.40 2.13324 1.82689 2.33175 1.60663 2.10918 1.95802 22.00 0.69085 0.65948 0.76489 0.63734 0.74046 0.70115

0.45 2.02564 1.72558 2.22656 1.51229 1.99852 1.85305 24.00 0.68272 0.65181 0.75644 0.62994 0.73229 0.69331

0.50 1.93178 1.63700 2.12940 1.43673 1.90357 1.76598 26.00 0.67535 0.64484 0.74874 0.62319 0.72483 0.68617

0.55 1.84885 1.56342 2.04430 1.37177 1.81595 1.68788 28.00 0.66861 0.63846 0.74168 0.61701 0.71799 0.67962

0.60 1.77535 1.49739 1.96362 1.31735 1.73959 1.62015 30.00 0.66240 0.63256 0.73517 0.61130 0.71167 0.67357

0.65 1.70981 1.44241 1.89393 1.27233 1.67330 1.56141 32.00 0.65665 0.62709 0.72912 0.60601 0.70579 0.66794

0.70 1.65184 1.39375 1.82955 1.23303 1.61300 1.50910 34.00 0.65130 0.62200 0.72348 0.60107 0.70030 0.66270

0.75 1.59849 1.34920 1.76852 1.19853 1.55933 1.46191 36.00 0.64629 0.61723 0.71820 0.59645 0.69516 0.65778

0.80 1.55243 1.31121 1.71543 1.16858 1.51194 1.41975 38.00 0.64160 0.61275 0.71323 0.59210 0.69032 0.65316

0.85 1.50901 1.27844 1.66814 1.14263 1.46956 1.38238 40.00 0.63717 0.60852 0.70854 0.58800 0.68576 0.64880

0.90 1.46910 1.24899 1.62392 1.11975 1.43137 1.34903 45.00 0.62713 0.59892 0.69787 0.57869 0.67536 0.63887

0.95 1.43477 1.22145 1.58239 1.09922 1.39698 1.31868 50.00 0.61828 0.59045 0.68843 0.57047 0.66616 0.63009

1.00 1.40295 1.19661 1.54473 1.08067 1.36594 1.29090 55.00 0.61037 0.58288 0.67998 0.56313 0.65792 0.62223

1.10 1.34475 1.15404 1.47896 1.04898 1.31256 1.24270 60.00 0.60323 0.57604 0.67233 0.55649 0.65046 0.61513

1.20 1.29650 1.11940 1.42293 1.02279 1.26790 1.20240 65.00 0.59673 0.56981 0.66535 0.55045 0.64365 0.60864

1.30 1.25716 1.08972 1.37484 1.00068 1.23016 1.16827 70.00 0.59078 0.56409 0.65894 0.54490 0.63740 0.60269

1.40 1.22145 1.06425 1.33362 0.98173 1.19818 1.13889 75.00 0.58528 0.55882 0.65302 0.53979 0.63162 0.59719

1.50 1.18902 1.04219 1.29763 0.96523 1.17065 1.11337 80.00 0.58017 0.55392 0.64751 0.53504 0.62625 0.59208

1.60 1.16061 1.02299 1.26576 0.95076 1.14677 1.09108 85.00 0.57542 0.54936 0.64237 0.53061 0.62124 0.58731

1.70 1.13630 1.00601 1.23753 0.93793 1.12577 1.07147 90.00 0.57096 0.54508 0.63755 0.52646 0.61654 0.58284

1.80 1.11496 0.99090 1.21264 0.92645 1.10717 1.05409 95.00 0.56678 0.54107 0.63302 0.52257 0.61212 0.57864

1.90 1.09553 0.97731 1.19051 0.91608 1.09059 1.03853 100.00 0.56284 0.53728 0.62874 0.51890 0.60795 0.57467

2.00 1.07758 0.96496 1.17056 0.90664 1.07573 1.02451 125.00 0.54596 0.52109 0.61039 0.50319 0.59007 0.55767

2.20 1.04680 0.94361 1.13625 0.89005 1.05020 1.00023 150.00 0.53251 0.50818 0.59571 0.49067 0.57577 0.54409

2.40 1.02098 0.92570 1.10761 0.87590 1.02889 0.97991 175.00 0.52136 0.49748 0.58351 0.48030 0.56389 0.53281

2.60 0.99893 0.91027 1.08332 0.86355 1.01104 0.96255 200.00 0.51187 0.48838 0.57310 0.47148 0.55376 0.52320

2.80 0.97989 0.89678 1.06261 0.85264 0.99548 0.94767

3.00 0.96299 0.88489 1.04472 0.84289 0.98186 0.93466

3.20 0.94826 0.87429 1.02904 0.83410 0.96989 0.92308

3.40 0.93516 0.86472 1.01511 0.82610 0.95919 0.91272

3.60 0.92347 0.85603 1.00264 0.81876 0.94957 0.90335

3.80 0.91281 0.84809 0.99142 0.81198 0.94080 0.89486

4.00 0.90302 0.84079 0.98123 0.80570 0.93277 0.88708

4.50 0.88189 0.82477 0.95941 0.79173 0.91532 0.87014

5.00 0.86448 0.81119 0.94154 0.77972 0.90066 0.85594

5.50 0.84964 0.79943 0.92645 0.76919 0.88811 0.84373

6.00 0.83686 0.78907 0.91347 0.75982 0.87712 0.83305

6.50 0.82566 0.77983 0.90207 0.75139 0.86734 0.82357

7.00 0.81568 0.77150 0.89198 0.74373 0.85855 0.81504

7.50 0.80669 0.76392 0.88292 0.73671 0.85056 0.80730

8.00 0.79853 0.75696 0.87468 0.73024 0.84325 0.80021

8.50 0.79105 0.75053 0.86715 0.72424 0.83650 0.79367

9.00 0.78417 0.74456 0.86021 0.71864 0.83023 0.78761

9.50 0.77780 0.73899 0.85379 0.71340 0.82439 0.78196

10.00 0.77188 0.73377 0.84780 0.70848 0.81891 0.77666

11.00 0.76116 0.72422 0.83695 0.69944 0.80888 0.76698

12.00 0.75164 0.71567 0.82730 0.69130 0.79990 0.75831

13.00 0.74310 0.70792 0.81861 0.68391 0.79175 0.75045

14.00 0.73537 0.70085 0.81071 0.67715 0.78430 0.74327

45

498-740 0 - 74 -4
Collision integrals for the (14, 6, 8) potential function for y —0.8

T* n<i. »* ft<2- 2>* n«. 3>* n<2. 3>* n(3 - 3) * T* ft<>. »* n(i - 2>* ft<2 ' 2>* n(i * 3) * n<2> 3) * ft<3. 3)*

0.10 3.41812 3.05718 3.57239 2.81293 3.29372 3.24904 15.00 0.73012 0.69630 0.80512 0.67294 0.77921 0.73850

0.15 3.00299 2.68043 3.15056 2.45610 2.90905 2.84426 16.00 0.72362 0.69030 0.79847 0.66718 0.77288 0.73240

0.20 2.73194 2.42529 2.88656 2.20558 2.66873 2.57149 17.00 0.71760 0.68472 0.79230 0.66181 0.76698 0.72673

0.25 2.52929 2.22852 2.69762 2.00569 2.48929 2.36311 18.00 0.71200 0.67950 0.78654 0.65678 0.76146 0.72142

0.30 2.36527 2.06539 2.54630 1.84218 2.33929 2.19570 19.00 0.70676 0.67461 0.78114 0.65206 0.75628 0.71644

0.35 2.22647 1.92848 2.41779 1.70929 2.20844 2.05865 20.00 0.70183 0.67000 0.77606 0.64762 0.75139 0.71174

0.40 2.10791 1.81217 2.30404 1.59863 2.08968 1.94117 22.00 0.69281 0.66152 0.76671 0.63943 0.74238 0.70309

0.45 2.00382 1.71302 2.20189 1.50663 1.98292 1.83967 24.00 0.68470 0.65387 0.75829 0.63204 0.73424 0.69528

0.50 1.91298 1.62766 2.10896 1.43172 1.88935 1.75421 26.00 0.67735 0.64692 0.75063 0.62530 0.72681 0.68816

0.55 1.83258 1.55567 2.02591 1.36876 1.80551 1.67869 28.00 0.67062 0.64054 0.74360 0.61913 0.71999 0.68163

0.60 1.76111 1.49139 1.94850 1.31493 1.73031 1.61223 30.00 0.66442 0.63465 0.73710 0.61343 0.71368 0.67559

0.65 1.69762 1.43709 1.87973 1.26985 1.66502 1.55402 32.00 0.65869 0.62919 0.73108 0.60814 0.70782 0.66998

0.70 1.64164 1.38942 1.81770 1.23149 1.60649 1.50315 34.00 0.65335 0.62411 0.72546 0.60320 0.70235 0.66474

0.75 1.58902 1.34602 1.75849 1.19735 1.55357 1.45684 36.00 0.64835 0.61934 0.72019 0.59858 0.69722 0.65984

0.80 1.54395 1.30841 1.70604 1.16768 1.50687 1.41546 38.00 0.64366 0.61487 0.71523 0.59424 0.69240 0.65523

0.85 1.50172 1.27528 1.65905 1.14183 1.46523 1.37843 40.00 0.63925 0.61065 0.71056 0.59015 0.68784 0.65087

0.90 1.46275 1.24655 1.61633 1.11916 1.42767 1.34552 45.00 0.62922 0.60105 0.69992 0.58084 0.67746 0.64096

0.95 1.42843 1.21988 1.57605 1.09889 1.39377 1.31574 50.00 0.62038 0.59259 0.69050 0.57262 0.66828 0.63220

1.00 1.39709 1.19521 1.53874 1.08054 1.36312 1.28844 55.00 0.61248 0.58502 0.68207 0.56527 0.66005 0.62435

1.10 1.34111 1.15292 1.47394 1.04906 1.31034 1.24081 60.00 0.60535 0.57818 0.67444 0.55864 0.65261 0.61725

1.20 1.29312 1.11854 1.41890 1.02303 1.26625 1.20091 65.00 0.59886 0.57195 0.66747 0.55259 0.64581 0.61077

1.30 1.25349 1.08935 1.37154 1.00108 1.22889 1.16715 70.00 0.59290 0.56624 0.66107 0.54705 0.63957 0.60482

1.40 1.21925 1.06401 1.33068 0.98225 1.19715 1.13811 75.00 0.58741 0.56096 0.65516 0.54193 0.63380 0.59932

1.50 1.18732 1.04216 1.29525 0.96587 1.16989 1.11284 80.00 0.58231 0.55606 0.64966 0.53718 0.62843 0.59422

1.60 1.15924 1.02312 1.26391 0.95148 1.14619 1.09073 85.00 0.57755 0.55150 0.64453 0.53274 0.62343 0.58945

1.70 1.13485 1.00628 1.23600 0.93872 1.12537 1.07129 90.00 0.57310 0.54722 0.63972 0.52860 0.61873 0.58498

1.80 1.11368 0.99127 1.21126 0.92731 1.10695 1.05403 95.00 0.56892 0.54321 0.63519 0.52470 0.61432 0.58078

1.90 1.09464 0.97780 1.18934 0.91700 1.09049 1.03861 100.00 0.56497 0.53942 0.63092 0.52102 0.61015 0.57682

2.00 1.07704 0.96557 1.16962 0.90762 1.07573 1.02471 125.00 0.54809 0.52321 0.61258 0.50530 0.59227 0.55982

2.20 1.04655 0.94436 1.13566 0.89113 1.05037 1.00061 150.00 0.53463 0.51029 0.59790 0.49276 0.57797 0.54623

2.40 1.02091 0.92651 1.10729 0.87705 1.02917 0.98045 175.00 0.52348 0.49958 0.58571 0.48238 0.56609 0.53495

2.60 0.99906 0.91120 1.08320 0.86478 1.01144 0.96320 200.00 0.51398 0.49047 0.57530 0.47355 0.55596 0.52533

2.80 0.98019 0.89781 1.06261 0.85393 0.99605 0.94837

3.00 0.96353 0.88598 1.04484 0.84423 0.98250 0.93545

3.20 0.94878 0.87543 1.02929 0.83548 0.97057 0.92396

3.40 0.93578 0.86593 1.01548 0.82752 0.95996 0.91366

3.60 0.92418 0.85729 1.00311 0.82022 0.95039 0.90436

3.80 0.91363 0.84939 0.99196 0.81348 0.94169 0.89590

4.00 0.90394 0.84212 0.98184 0.80722 0.93370 0.88817

4.50 0.88293 0.82619 0.96016 0.79332 0.91635 0.87133

5.00 0.86564 0.81267 0.94239 0.78136 0.90178 0.85720

5.50 0.85088 0.80097 0.92740 0.77088 0.88930 0.84507

6.00 0.83817 0.79067 0.91451 0.76155 0.87837 0.83444

6.50 0.82704 0.78147 0.90318 0.75316 0.86865 0.82501

7.00 0.81711 0.77317 0.89314 0.74553 0.85991 0.81653

7.50 0.80817 0.76562 0.88413 0.73854 0.85197 0.80882

8.00 0.80005 0.75869 0.87595 0.73209 0.84470 0.80177

8.50 0.79262 0.75229 0.86846 0.72611 0.83798 0.79526

9.00 0.78577 0.74634 0.86156 0.72053 0.83175 0.78923

9.50 0.77943 0.74080 0.85517 0.71530 0.82593 0.78360

10.00 0.77353 0.73560 0.84922 0.71039 0.82048 0.77833

11.00 0.76286 0.72608 0.83843 0.70138 0.81051 0.76869

12.00 0.75338 0.71756 0.82883 0.69327 0.80157 0.76005

13.00 0.74488 0.70984 0.82018 0.68590 0.79346 0.75223

14.00 0.73717 0.70279 0.81233 0.67916 0.78604 0.74508

46
Collision integrals for the (14, 6, 8) potential function for y— 1.0 T* na- «• n<2- 2) * ft( l- 3>* ft<2. 3)* ft<3. 3)* T* na- »* n<»-

2>* ft‘2- 2>* na* 3)* a<2- 3>* n<3> 3)*

0.10 3.33587 2.99065 3.49806 2.75882 3.23235 3.18320 15.00 0.73185 0.69816 0.80669 0.67486 0.78089 0.74023

0.15 2.93980 2.62963 3.09089 2.41671 2.85982 2.79463 16.00 0.72538 0.69217 0.80007 0.66911 0.77459 0.73416

0.20 2.68008 2.38721 2.83797 2.17628 2.62712 2.53238 17.00 0.71938 0.68661 0.79392 0.66375 0.76872 0.72851

0.25 2.48601 2.19824 2.65544 1.98499 2.45495 2.33263 18.00 0.71380 0.68140 0.78819 0.65874 0.76322 0.72322

0.30 2.32841 2.04191 2.50992 1.82690 2.31039 2.17090 19.00 0.70857 0.67652 0.78281 0.65403 0.75805 0.71825

0.35 2.19738 1.91006 2.38636 1.69743 2.18391 2.03745 20.00 0.70366 0.67192 0.77775 0.64959 0.75318 0.71357

0.40 2.08210 1.79717 2.27643 1.58949 2.06913 1.92339 22.00 0.69466 0.66346 0.76844 0.64142 0.74421 0.70495

0.45 1.98199 1.70155 2.17857 1.50113 1.96766 1.82676 24.00 0.68658 0.65583 0.76005 0.63403 0.73609 0.69716

0.50 1.89420 1.61863 2.08896 1.42680 1.87781 1.74216 26.00 0.67924 0.64888 0.75242 0.62731 0.72869 0.69006

0.55 1.81630 1.54807 2.00824 1.36562 1.79507 1.66952 28.00 0.67253 0.64252 0.74541 0.62114 0.72189 0.68354

0.60 1.74664 1.48557 1.93377 1.31202 1.72077 1.60385 30.00 0.66635 0.63664 0.73895 0.61545 0.71560 0.67752

0.65 1.68512 1.43129 1.86553 1.26740 1.65677 1.54687 32.00 0.66062 0.63119 0.73294 0.61016 0.70976 0.67192

0.70 1.62966 1.38481 1.80549 1.22983 1.59996 1.49714 34.00 0.65529 0.62611 0.72733 0.60523 0.70430 0.66670

0.75 1.57986 1.34298 1.74885 1.19627 1.54810 1.45194 36.00 0.65031 0.62135 0.72208 0.60061 0.69919 0.66181

0.80 1.53448 1.30505 1.69634 1.16691 1.50212 1.41131 38.00 0.64563 0.61688 0.71714 0.59628 0.69437 0.65720

0.85 1.49440 1.27230 1.65014 1.14106 1.46096 1.37465 40.00 0.64122 0.61266 0.71248 0.59218 0.68983 0.65286

0.90 1.45661 1.24395 1.60862 1.11856 1.42404 1.34209 45.00 0.63121 0.60308 0.70187 0.58288 0.67948 0.64297

0.95 1.42184 1.21816 1.56971 1.09851 1.39063 1.31279 50.00 0.62238 0.59462 0.69248 0.57467 0.67031 0.63421

1.00 1.39173 1.19392 1.53309 1.08040 1.36040 1.28601 55.00 0.61449 0.58705 0.68407 0.56732 0.66210 0.62638

1.10 1.33732 1.15192 1.46907 1.04911 1.30816 1.23894 60.00 0.60736 0.58022 0.67645 0.56068 0.65467 0.61928

1.20 1.28917 1.11768 1.41494 1.02323 1.26461 1.19947 65.00 0.60088 0.57399 0.66950 0.55464 0.64788 0.61281

1.30 1.24983 1.08892 1.36831 1.00145 1.22767 1.16605 70.00 0.59493 0.56828 0.66311 0.54909 0.64165 0.60687

1.40 1.21676 1.06380 1.32788 0.98274 1.19616 1.13733 75.00 0.58943 0.56300 0.65721 0.54397 0.63588 0.60138

1.50 1.18575 1.04220 1.29299 0.96648 1.16914 1.11232 80.00 0.58434 0.55810 0.65172 0.53921 0.63052 0.59627

1.60 1.15810 1.02322 1.26205 0.95215 1.14562 1.09040 85.00 0.57958 0.55354 0.64659 0.53478 0.62552 0.59151

1.70 1.13348 1.00653 1.23451 0.93947 1.12500 1.07110 90.00 0.57513 0.54926 0.64179 0.53063 0.62083 0.58704

1.80 1.11240 0.99162 1.20998 0.92811 1.10671 1.05397 95.00 0.57095 0.54524 0.63727 0.52673 0.61642 0.58284

1.90 1.09366 0.97825 1.18820 0.91787 1.09038 1.03867 100.00 0.56701 0.54146 0.63300 0.52305 0.61225 0.57888

2.00 1.07647 0.96614 1.16870 0.90855 1.07573 1.02487 125.00 0.55012 0.52524 0.61468 0.50731 0.59438 0.56188

2.20 1.04619 0.94500 1.13501 0.89214 1.05052 1.00096 150.00 0.53666 0.51230 0.60001 0.49476 0.58008 0.54828

2.40 1.02080 0.92727 1.10694 0.87814 1.02942 0.98096 175.00 0.52550 0.50158 0.58781 0.48436 0.56819 0.53699

2.60 0.99916 0.91208 1.08308 0.86593 1.01179 0.96383 200.00 0.51599 0.49245 0.57740 0.47551 0.55806 0.52737

2.80 0.98044 0.89877 1.06263 0.85515 0.99658 0.94904

3.00 0.96401 0.88700 1.04496 0.84550 0.98312 0.93619

3.20 0.94930 0.87651 1.02951 0.83679 0.97123 0.92480

3.40 0.93642 0.86707 1.01582 0.82886 0.96068 0.91455

3.60 0.92482 0.85848 1.00354 0.82160 0.95115 0.90532

3.80 0.91439 0.85061 0.99246 0.81489 0.94251 0.89690

4.00 0.90480 0.84339 0.98242 0.80867 0.93459 0.88921

4.50 0.88392 0.82753 0.96088 0.79483 0.91732 0.87246

5.00 0.86672 0.81408 0.94320 0.78292 0.90285 0.85840

5.50 0.85207 0.80244 0.92831 0.77248 0.89043 0.84633

6.00 0.83942 0.79218 0.91548 0.76319 0.87957 0.83576

6.50 0.82833 0.78302 0.90424 0.75483 0.86990 0.82637

7.00 0.81847 0.77476 0.89424 0.74723 0.86120 0.81793

7.50 0.80958 0.76724 0.88528 0.74026 0.85331 0.81026

8.00 0.80150 0.76034 0.87715 0.73384 0.84607 0.80324

8.50 0.79411 0.75396 0.86971 0.72788 0.83939 0.79677

9.00 0.78729 0.74804 0.86284 0.72232 0.83319 0.79076

9.50 0.78098 0.74251 0.85648 0.71711 0.82740 0.78515

10.00 0.77510 0.73733 0.85057 0.71222 0.82198 0.77990

11.00 0.76447 0.72785 0.83983 0.70323 0.81205 0.77031

12.00 0.75503 0.71935 0.83028 0.69514 0.80315 0.76170

13.00 0.74656 0.71165 0.82167 0.68779 0.79508 0.75391

14.00 0.73888 0.70463 0.81386 0.68107 0.78770 0.74679

47
Collision integrals for the (14, 6, 8) potential function for y= 1.5 T* n(2 - 2) * ft( l - 3>* ft<2 ’ 3>* n<3 ’ 3>* T* ftu* «* n(i - 2>* n<2 - 2) * ft' 1 ' 3>* n<2- 3) * ft<3- 3)*

0.10 3.13203 2.82909 3.31507 2.62476 3.07703 3.01919 15.00 0.73584 0.70243 0.81028 0.67928 0.78477 0.74423

0.15 2.78430 2.51125 2.95137 2.32151 2.74077 2.67444 16.00 0.72943 0.69648 0.80373 0.67356 0.77852 0.73820

0.20 2.55529 2.29493 2.72035 2.10812 2.52998 2.44036 17.00 0.72348 0.69095 0.79765 0.66823 0.77271 0.73259

0.25 2.38421 2.12757 2.55590 1.93528 2.37299 2.25956 18.00 0.71793 0.68577 0.79197 0.66324 0.76726 0.72735

0.30 2.24209 1.98552 2.42278 1.79154 2.24275 2.11281 19.00 0.71274 0.68091 0.78665 0.65855 0.76214 0.72242

0.35 2.12277 1.86571 2.31099 1.67103 2.12719 1.98964 20.00 0.70787 0.67634 0.78164 0.65412 0.75731 0.71777

0.40 2.02007 1.76245 2.21169 1.57002 2.02261 1.88429 22.00 0.69893 0.66792 0.77242 0.64598 0.74840 0.70920

0.45 1.92933 1.67329 2.12192 1.48686 1.92911 1.79474 24.00 0.69089 0.66033 0.76411 0.63862 0.74035 0.70146

0.50 1.84867 1.59666 2.04059 1.41559 1.84319 1.71460 26.00 0.68360 0.65341 0.75653 0.63192 0.73300 0.69441

0.55 1.77713 1.52810 1.96415 1.35655 1.76784 1.64617 28.00 0.67692 0.64707 0.74959 0.62577 0.72625 0.68792

0.60 1.71303 1.47052 1.89651 1.30615 1.69935 1.58499 30.00 0.67077 0.64121 0.74317 0.62009 0.72000 0.68193

0.65 1.65513 1.41845 1.83288 1.26267 1.63794 1.53076 32.00 0.66507 0.63578 0.73721 0.61481 0.71420 0.67636

0.70 1.60349 1.37427 1.77630 1.22515 1.58342 1.48220 34.00 0.65977 0.63071 0.73164 0.60989 0.70877 0.67117

0.75 1.55674 1.33410 1.72386 1.19338 1.53485 1.43980 36.00 0.65480 0.62597 0.72643 0.60528 0.70369 0.66629

0.80 1.51392 1.29843 1.67497 1.16478 1.49050 1.40100 38.00 0.65014 0.62151 0.72152 0.60095 0.69890 0.66171

0.85 1.47566 1.26633 1.63013 1.13969 1.45108 1.36608 40.00 0.64575 0.61730 0.71689 0.59687 0.69438 0.65738

0.90 1.44078 1.23769 1.58965 1.11712 1.41524 1.33410 45.00 0.63577 0.60773 0.70634 0.58757 0.68408 0.64753

0.95 1.40796 1.21288 1.55327 1.09748 1.38308 1.30564 50.00 0.62697 0.59928 0.69700 0.57936 0.67495 0.63880

1.00 1.37799 1.19038 1.51929 1.07984 1.35384 1.27989 55.00 0.61910 0.59173 0.68863 0.57201 0.66677 0.63099

1.10 1.32627 1.14978 1.45775 1.04919 1.30298 1.23449 60.00 0.61199 0.58490 0.68105 0.56537 0.65936 0.62391

1.20 1.28144 1.11566 1.40537 1.02374 1.26070 1.19612 65.00 0.60552 0.57867 0.67413 0.55933 0.65260 0.61746

1.30 1.24273 1.08757 1.36047 1.00223 1.22474 1.16343 70.00 0.59957 0.57296 0.66777 0.55377 0.64638 0.61152

1.40 1.20947 1.06334 1.32142 0.98382 1.19392 1.13540 75.00 0.59409 0.56768 0.66188 0.54865 0.64063 0.60604

1.50 1.18125 1.04202 1.28731 0.96780 1.16735 1.11103 80.00 0.58899 0.56279 0.65641 0.54389 0.63529 0.60094

1.60 1.15471 1.02349 1.25755 0.95370 1.14431 1.08959 85.00 0.58424 0.55822 0.65130 0.53945 0.63029 0.59618

1.70 1.13118 1.00698 1.23086 0.94116 1.12405 1.07064 90.00 0.57980 0.55394 0.64651 0.53529 0.62561 0.59172

1.80 1.10953 0.99238 1.20700 0.92997 1.10614 1.05383 95.00 0.57562 0.54992 0.64200 0.53138 0.62121 0.58752

1.90 1.09110 0.97923 1.18560 0.91983 1.09011 1.03877 100.00 0.57167 0.54612 0.63774 0.52770 0.61705 0.58356

2.00 1.07457 0.96733 1.16644 0.91064 1.07571 1.02522 125.00 0.55479 0.52988 0.61946 0.51192 0.59919 0.56656

2.20 1.04524 0.94655 1.13351 0.89446 1.05087 1.00175 150.00 0.54131 0.51692 0.60480 0.49933 0.58489 0.55296

2.40 1.02059 0.92907 1.10611 0.88060 1.03023 0.98203 175.00 0.53013 0.50617 0.59262 0.48890 0.57301 0.54166

2.60 0.99930 0.91403 1.08275 0.86856 1.01262 0.96523 200.00 0.52060 0.49701 0.58221 0.48001 0.56286 0.53202

2.80 0.98096 0.90095 1.06266 0.85792 0.99765 0.95065

3.00 0.96488 0.88935 1.04523 0.84840 0.98453 0.93789

3.20 0.95059 0.87899 1.03000 0.83978 0.97279 0.92666

3.40 0.93775 0.86966 1.01654 0.83194 0.96231 0.91660

3.60 0.92641 0.86119 1.00450 0.82476 0.95293 0.90748

3.80 0.91600 0.85342 0.99361 0.81813 0.94439 0.89919

4.00 0.90666 0.84628 0.98372 0.81197 0.93660 0.89159

4.50 0.88620 0.83059 0.96249 0.79828 0.91957 0.87505

5.00 0.86917 0.81731 0.94505 0.78650 0.90531 0.86117

5.50 0.85478 0.80580 0.93038 0.77616 0.89303 0.84924

6.00 0.84228 0.79565 0.91772 0.76696 0.88230 0.83879

6.50 0.83130 0.78659 0.90665 0.75868 0.87277 0.82951

7.00 0.82157 0.77841 0.89679 0.75114 0.86418 0.82116

7.50 0.81279 0.77095 0.88792 0.74424 0.85637 0.81358

8.00 0.80481 0.76412 0.87990 0.73786 0.84923 0.80664

8.50 0.79751 0.75780 0.87256 0.73195 0.84263 0.80023

9.00 0.79077 0.75193 0.86579 0.72643 0.83650 0.79428

9.50 0.78453 0.74645 0.85951 0.72127 0.83078 0.78873

10.00 0.77871 0.74131 0.85366 0.71641 0.82542 0.78354

11.00 0.76817 0.73191 0.84305 0.70748 0.81561 0.77403

12.00 0.75883 0.72347 0.83361 0.69945 0.80680 0.76551

13.00 0.75043 0.71583 0.82511 0.69214 0.79881 0.75779

14.00 0.74281 0.70885 0.81737 0.68545 0.79150 0.75073

48
Collision integrals for the (15, 6, 8) potential function for y —0.

T* ft' 1 - n* fta- 2) * ft(2- 2) * ftd- 3)* n<2- 3) * n< 3- 3> * T* ft' 1 * ft' 1 - 2)* n<2- 2) * fttt. 3)* n<2- 3>* n<3- 3) *

0.10 3.65094 3.24120 3.77968 2.96298 3.46751 3.43404 15.00 0.73412 0.70091 0.80755 0.67805 0.78204 0.74232

0.15 3.18197 2.81076 3.31136 2.56116 3.04511 2.97911 16.00 0.72775 0.69504 0.80101 0.67243 0.77583 0.73635

0.20 2.87236 2.52459 3.01922 2.27820 2.77729 2.67206 17.00 0.72184 0.68958 0.79494 0.66719 0.77005 0.73079

0.25 2.64705 2.30545 2.80968 2.05677 2.57867 2.44107 18.00 0.71634 0.68448 0.78928 0.66229 0.76464 0.72560

0.30 2.45829 2.12445 2.64187 1.87672 2.41065 2.25528 19.00 0.71120 0.67970 0.78397 0.65769 0.75957 0.72073

0.35 2.30538 1.97507 2.49955 1.73275 2.26449 2.10477 20.00 0.70638 0.67520 0.77898 0.65336 0.75478 0.71614

0.40 2.17373 1.84833 2.37349 1.61607 2.13583 1.97895 22.00 0.69754 0.66693 0.76982 0.64538 0.74597 0.70769

0.45 2.05995 1.74040 2.26007 1.52264 2.02141 1.87453 24.00 0.68961 0.65947 0.76157 0.63819 0.73801 0.70006

0.50 1.96065 1.65172 2.15983 1.44259 1.91958 1.78055 26.00 0.68243 0.65269 0.75407 0.63164 0.73076 0.69311

0.55 1.87298 1.57300 2.06746 1.37782 1.83006 1.70174 28.00 0.67586 0.64648 0.74719 0.62563 0.72410 0.68674

0.60 1.79683 1.50889 1.98655 1.32200 1.75157 1.63074 30.00 0.66981 0.64075 0.74084 0.62009 0.71795 0.68085

0.65 1.72880 1.44992 1.91224 1.27613 1.68172 1.57062 32.00 0.66421 0.63544 0.73495 0.61495 0.71223 0.67539

0.70 1.66699 1.39945 1.84306 1.23638 1.62023 1.51685 34.00 0.65900 0.63049 0.72946 0.61015 0.70690 0.67029

0.75 1.61568 1.35578 1.78249 1.20143 1.56579 1.46822 36.00 0.65413 0.62585 0.72432 0.60567 0.70191 0.66552

0.80 1.56382 1.31693 1.72842 1.17161 1.51733 1.42565 38.00 0.64956 0.62150 0.71948 0.60145 0.69721 0.66103

0.85 1.51997 1.28349 1.67811 1.14562 1.47389 1.38794 40.00 0.64526 0.61740 0.71493 0.59747 0.69277 0.65679

0.90 1.48181 1.25283 1.63185 1.12248 1.43511 1.35380 45.00 0.63550 0.60808 0.70455 0.58844 0.68268 0.64715

0.95 1.44395 1.22572 1.59061 1.10184 1.40039 1.32285 50.00 0.62689 0.59985 0.69538 0.58047 0.67375 0.63863

1.00 1.41071 1.19996 1.55199 1.08352 1.36933 1.29499 55.00 0.61921 0.59250 0.68717 0.57334 0.66575 0.63100

1.10 1.35342 1.15769 1.48452 1.05164 1.31509 1.24607 60.00 0.61228 0.58587 0.67975 0.56690 0.65852 0.62411

1.20 1.30381 1.12257 1.42738 1.02550 1.26989 1.20552 65.00 0.60597 0.57982 0.67298 0.56104 0.65192 0.61782

1.30 1.26291 1.09287 1.37907 1.00342 1.23205 1.17107 70.00 0.60018 0.57428 0.66676 0.55566 0.64586 0.61204

1.40 1.22633 1.06712 1.33723 0.98448 1.19992 1.14146 75.00 0.59484 0.56916 0.66101 0.55070 0.64026 0.60671

1.50 1.19310 1.04515 1.30048 0.96810 1.17235 1.11590 80.00 0.58989 0.56441 0.65567 0.54609 0.63505 0.60175

1.60 1.16512 1.02594 1.26818 0.95367 1.14833 1.09353 85.00 0.58527 0.55998 0.65068 0.54180 0.63019 0.59712

1.70 1.14087 1.00896 1.23991 0.94092 1.12726 1.07391 90.00 0.58095 0.55584 0.64601 0.53777 0.62564 0.59279

1.80 1.11897 0.99381 1.21492 0.92950 1.10863 1.05650 95.00 0.57689 0.55194 0.64162 0.53400 0.62136 0.58871

1.90 1.09923 0.98020 1.19261 0.91919 1.09206 1.04092 100.00 0.57307 0.54827 0.63747 0.53043 0.61732 0.58487

2.00 1.08190 0.96804 1.17269 0.90981 1.07723 1.02690 125.00 0.55669 0.53256 0.61968 0.51519 0.59999 0.56838

2.20 1.05032 0.94672 1.13810 0.89335 1.05175 1.00265 150.00 0.54364 0.52003 0.60545 0.50304 0.58613 0.55520

2.40 1.02445 0.92888 1.10927 = 0.87933 1.03053 0.98237 175.00 0.53282 0.50965 0.59363 0.49297 0.57462 0.54426

2.60 1.00234 0.91351 1.08501 0.86711 1.01262 0.96516 200.00 0.52361 0.50081 0.58354 0.48440 0.56480 0.53493

2.80 0.98309 0.90012 1.06435 0.85630 0.99716 0.95033

3.00 0.96656 0.88833 1.04647 0.84667 0.98367 0.93735

3.20 0.95165 0.87781 1.03078 0.83799 0.97177 0.92585

3.40 0.93867 0.86834 1.01688 0.83009 0.96114 0.91557

3.60 0.92696 0.85974 1.00445 0.82285 0.95156 0.90631

3.80 0.91628 0.85189 0.99327 0.81617 0.94286 0.89789

4.00 0.90653 0.84467 0.98313 0.80998 0.93490 0.89019

4.50 0.88559 0.82884 0.96144 0.79623 0.91761 0.87343

5.00 0.86826 0.81544 0.94368 0.78443 0.90313 0.85939

5.50 0.85358 0.80386 0.92873 0.77409 0.89073 0.84735

6.00 0.84096 0.79367 0.91586 0.76490 0.87988 0.83683

6.50 0.82988 0.78459 0.90460 0.75664 0.87024 0.82749

7.00 0.82001 0.77641 0.89462 0.74914 0.86159 0.81910

7.50 0.81114 0.76896 0.88566 0.74227 0.85373 0.81149

8.00 0.80309 0.76213 0.87753 0.73594 0.84653 0.80453

8.50 0.79572 0.75583 0.87011 0.73007 0.83990 0.79811

9.00 0.78895 0.74998 0.86328 0.72460 0.83375 0.79216

9.50 0.78269 0.74453 0.85695 0.71948 0.82801 0.78662

10.00 0.77687 0.73942 0.85107 0.71467 0.82264 0.78143

11.00 0.76634 0.73008 0.84039 0.70585 0.81281 0.77195

12.00 0.75701 0.72172 0.83091 0.69791 0.80401 0.76346

13.00 0.74864 0.71416 0.82239 0.69071 0.79603 0.75578

14.00 0.74106 0.70725 0.81464 0.68412 0.78875 0.74877

49
Collision integrals for the (15, 6, 8) potential function for y =0.2

T* ft(1 - «* nu - 2) * H(2 - 2) * n°' 3) * ft< 2 - 3 >* n(3- 3) * T* fta- »* na - 2) * n<2 - 2) * n°’ 3> * n<2’ 3)* n(3 > 3)*

0.10 3.56392 3.16963 3.70164 2.90138 3.39942 3.36016 15.00 0.73626 0.70319 0.80948 0.68041 0.78412 0.74445

0.15 3.10988 2.75684 3.24589 2.51460 2.98651 2.92211 16.00 0.72991 0.69734 0.80297 0.67480 0.77794 0.73851

0.20 2.81525 2.48200 2.96273 2.24414 2.72882 2.62724 17.00 0.72403 0.69189 0.79694 0.66957 0.77218 0.73298

0.25 2.59464 2.26952 2.75975 2.03202 2.53717 2.40533 18.00 0.71855 0.68681 0.79130 0.66469 0.76680 0.72780

0.30 2.41849 2.09664 2.59838 1.86048 2.37736 2.22849 19.00 0.71343 0.68205 0.78603 0.66010 0.76175 0.72295

0.35 2.27012 1.95232 2.46132 1.72090 2.23717 2.08305 20.00 0.70863 0.67756 0.78107 0.65577 0.75698 0.71837

0.40 2.14376 1.83074 2.34056 1.60781 2.11310 1.96177 22.00 0.69982 0.66931 0.77195 0.64781 0.74821 0.70995

0.45 2.03395 1.72856 2.23320 1.51331 2.00066 1.85594 24.00 0.69192 0.66187 0.76373 0.64063 0.74028 0.70234

0.50 1.93847 1.63935 2.13439 1.43777 1.90485 1.76802 26.00 0.68475 0.65510 0.75626 0.63409 0.73305 0.69542

0.55 1.85417 1.56505 2.04779 1.37246 1.81598 1.68908 28.00 0.67820 0.64890 0.74941 0.62809 0.72641 0.68906

0.60 1.77999 1.49901 1.96619 1.31850 1.73976 1.62124 30.00 0.67217 0.64318 0.74309 0.62255 0.72028 0.68319

0.65 1.71373 1.44408 1.89616 1.27371 1.67302 1.56248 32.00 0.66658 0.63788 0.73722 0.61742 0.71459 0.67774

0.70 1.65505 1.39485 1.83029 1.23432 1.61231 1.50975 34.00 0.66138 0.63293 0.73175 0.61263 0.70927 0.67265

0.75 1.60176 1.35058 1.76924 1.20014 1.55881 1.46264 36.00 0.65653 0.62831 0.72663 0.60814 0.70429 0.66789

0.80 1.55516 1.31284 1.71624 1.17037 1.51141 1.42043 38.00 0.65197 0.62396 0.72181 0.60393 0.69960 0.66340

0.85 1.51124 1.28029 1.66862 1.14463 1.46900 1.38320 40.00 0.64767 0.61986 0.71726 0.59996 0.69518 0.65918

0.90 1.47162 1.25063 1.62389 1.12190 1.43087 1.34988 45.00 0.63792 0.61055 0.70692 0.59092 0.68511 0.64955

0.95 1.43710 1.22303 1.58216 1.10147 1.39655 1.31952 50.00 0.62933 0.60233 0.69777 0.58295 0.67620 0.64105

1.00 1.40532 1.19848 1.54469 1.08308 1.36564 1.29181 55.00 0.62166 0.59498 0.68959 0.57582 0.66822 0.63343

1.10 1.34660 1.15619 1.47885 1.05169 1.31246 1.24381 60.00 0.61473 0.58834 0.68218 0.56938 0.66099 0.62654

1.20 1.29893 1.12177 1.42284 1.02575 1.26796 1.20372 65.00 0.60843 0.58230 0.67542 0.56352 0.65441 0.62026

1.30 1.25968 1.09219 1.37481 1.00387 1.23045 1.16977 70.00 0.60265 0.57676 0.66921 0.55814 0.64835 0.61448

1.40 1.22350 1.06698 1.33377 0.98511 1.19869 1.14055 75.00 0.59731 0.57164 0.66348 0.55317 0.64276 0.60915

1.50 1.19136 1.04510 1.29785 0.96879 1.17135 1.11520 80.00 0.59236 0.56689 0.65814 0.54856 0.63756 0.60420

1.60 1.16308 1.02606 1.26605 0.95450 1.14763 1.09310 85.00 0.58774 0.56246 0.65317 0.54426 0.63271 0.59957

1.70 1.13902 1.00925 1.23797 0.94183 1.12680 1.07365 90.00 0.58342 0.55831 0.64850 0.54024 0.62816 0.59524

1.80 1.11779 0.99430 1.21327 0.93050 1.10834 1.05642 95.00 0.57936 0.55441 0.64411 0.53645 0.62388 0.59117

1.90 1.09833 0.98082 1.19124 0.92027 1.09190 1.04100 100.00 0.57554 0.55074 0.63997 0.53289 0.61984 0.58732

2.00 1.08051 0.96860 1.17142 0.91096 1.07719 1.02711 125.00 0.55916 0.53501 0.62220 0.51763 0.60252 0.57084

2.20 1.04997 0.94754 1.13735 0.89461 1.05192 1.00308 150.00 0.54609 0.52247 0.60798 0.50545 0.58866 0.55765

2.40 1.02433 0.92984 1.10889 0.88068 1.03086 0.98297 175.00 0.53527 0.51207 0.59616 0.49537 0.57715 0.54671

2.60 1.00250 0.91461 1.08482 0.86853 1.01319 0.96583 200.00 0.52605 0.50322 0.58607 0.48678 0.56733 0.53738

2.80 0.98360 0.90132 1.06431 0.85781 0.99780 0.95116

3.00 0.96684 0.88960 1.04660 0.84824 0.98436 0.93831

3.20 0.95231 0.87916 1.03108 0.83961 0.97256 0.92688

3.40 0.93940 0.86974 1.01730 0.83176 0.96202 0.91667

3.60 0.92783 0.86120 1.00497 0.82456 0.95253 0.90746

3.80 0.91728 0.85340 0.99388 0.81792 0.94389 0.89910

4.00 0.90761 0.84623 0.98382 0.81177 0.93598 0.89146

4.50 0.88680 0.83050 0.96230 0.79810 0.91883 0.87481

5.00 0.86963 0.81719 0.94469 0.78636 0.90444 0.86088

5.50 0.85505 0.80567 0.92984 0.77607 0.89213 0.84891

6.00 0.84249 0.79554 0.91708 0.76693 0.88136 0.83845

6.50 0.83149 0.78651 0.90589 0.75871 0.87178 0.82918

7.00 0.82169 0.77836 0.89598 0.75124 0.86319 0.82084

7.50 0.81288 0.77096 0.88709 0.74440 0.85538 0.81327

8.00 0.80488 0.76416 0.87903 0.73809 0.84823 0.80635

8.50 0.79756 0.75789 0.87164 0.73225 0.84164 0.79997

9.00 0.79082 0.75207 0.86486 0.72680 0.83553 0.79406

9.50 0.78459 0.74664 0.85858 0.72170 0.82983 0.78854

10.00 0.77881 0.74155 0.85273 0.71691 0.82448 0.78338

11.00 0.76833 0.73226 0.84212 0.70812 0.81472 0.77395

12.00 0.75904 0.72393 0.83270 0.70021 0.80597 0.76550

13.00 0.75071 0.71639 0.82423 0.69303 0.79804 0.75786

14.00 0.74316 0.70951 0.81653 0.68646 0.79079 0.75088

50
Collision integrals for the (15, 6, 8) potential function for y =0.4

T* n«* n* QU, 2)* a<2. 2>* nu* 3) * n<2 - 3) * n(3- 3) * T* a”- «* «“ 2> * n<2- 2) * n(i - 3>* n< 2 - 3)* ft<3. 3)*

0.10 3.47590 3.09733 3.62244 2.84137 3.33200 3.28811 15.00 0.73827 0.70533 0.81129 0.68262 0.78606 0.74646

0.15 3.04085 2.70412 3.18391 2.47082 2.93296 2.86707 16.00 0.73194 0.69949 0.80482 0.67702 0.77991 0.74054

0.20 2.75853 2.43975 2.90991 2.21281 2.68378 2.58512 17.00 0.72608 0.69407 0.79881 0.67181 0.77419 0.73503

0.25 2.54783 2.23680 2.71349 2.00492 2.49399 2.36666 18.00 0.72063 0.68900 0.79321 0.66694 0.76883 0.72987

0.30 2.37945 2.07073 2.55809 1.84374 2.34529 2.20107 19.00 0.71553 0.68425 0.78796 0.66236 0.76379 0.72503

0.35 2.23652 1.93186 2.42625 1.70949 2.21114 2.06156 20.00 0.71074 0.67977 0.78302 0.65804 0.75905 0.72047

0.40 2.11561 1.81432 2.30999 1.59901 2.09129 1.94343 22.00 0.70196 0.67154 0.77394 0.65009 0.75031 0.71208

0.45 2.00977 1.71465 2.20611 1.50654 1.98281 1.84054 24.00 0.69408 0.66412 0.76576 0.64292 0.74241 0.70450

0.50 1.91766 1.62852 2.11133 1.43224 1.88926 1.75499 26.00 0.68693 0.65737 0.75832 0.63639 0.73521 0.69759

0.55 1.83627 1.55656 2.02766 1.36899 1.80421 1.67874 28.00 0.68040 0.65118 0.75150 0.63040 0.72860 0.69125

0.60 1.76418 1.49185 1.94886 1.31542 1.72889 1.61210 30.00 0.67438 0.64547 0.74521 0.62487 0.72249 0.68540

0.65 1.70019 1.43777 1.87993 1.27096 1.66388 1.55423 32.00 0.66881 0.64017 0.73936 0.61974 0.71681 0.67996

0.70 1.64355 1.39031 1.81751 1.23264 1.60506 1.50318 34.00 0.66362 0.63523 0.73391 0.61495 0.71151 0.67489

0.75 1.59087 1.34664 1.75759 1.19865 1.55219 1.45680 36.00 0.65877 0.63061 0.72880 0.61047 0.70654 0.67013

0.80 1.54589 1.30927 1.70516 1.16926 1.50567 1.41551 38.00 0.65422 0.62627 0.72400 0.60626 0.70186 0.66566

0.85 1.50341 1.27675 1.65861 1.14368 1.46413 1.37869 40.00 0.64994 0.62217 0.71947 0.60229 0.69745 0.66144

0.90 1.46409 1.24806 1.61561 1.12120 1.42667 1.34592 45.00 0.64020 0.61287 0.70916 0.59326 0.68741 0.65183

0.95 1.43015 1.22127 1.57504 1.10109 1.39290 1.31622 50.00 0.63162 0.60465 0.70004 0.58529 0.67851 0.64334

1.00 1.39895 1.19671 1.53779 1.08288 1.36239 1.28899 55.00 0.62396 0.59731 0.69187 0.57816 0.67055 0.63573

1.10 1.34241 1.15485 1.47324 1.05172 1.30990 1.24162 60.00 0.61704 0.59068 0.68448 0.57172 0.66334 0.62885

1.20 1.29468 1.12079 1.41829 1.02598 1.26607 1.20200 65.00 0.61074 0.58463 0.67773 0.56585 0.65676 0.62257

1.30 1.25572 1.09177 1.37107 1.00427 1.22896 1.16847 70.00 0.60496 0.57909 0.67154 0.56047 0.65072 0.61681

1.40 1.22122 1.06665 1.33044 0.98567 1.19749 1.13963 75.00 0.59963 0.57397 0.66581 0.55550 0.64513 0.61148

1.50 1.18925 1.04504 1.29517 0.96948 1.17043 1.11457 80.00 0.59468 0.56922 0.66049 0.55089 0.63993 0.60652

1.60 1.16139 1.02618 1.26394 0.95527 1.14694 1.09265 85.00 0.59007 0.56479 0.65552 0.54658 0.63509 0.60190

1.70 1.13732 1.00951 1.23619 0.94269 1.12631 1.07340 90.00 0.58575 0.56064 0.65086 0.54256 0.63054 0.59757

1.80 1.11635 0.99468 1.21167 0.93143 1.10805 1.05632 95.00 0.58169 0.55674 0.64647 0.53877 0.62626 0.59350

1.90 1.09740 0.98136 1.18991 0.92127 1.09175 1.04105 100.00 0.57786 0.55306 0.64234 0.53520 0.62223 0.58965

2.00 1.07984 0.96926 1.17032 0.91203 1.07715 1.02729 125.00 0.56148 0.53732 0.62458 0.51992 0.60491 0.57317

2.20 1.04960 0.94831 1.13662 0.89579 1.05207 1.00346 150.00 0.54841 0.52476 0.61036 0.50773 0.59106 0.55998

2.40 1.02423 0.93073 1.10850 0.88194 1.03113 0.98354 175.00 0.53757 0.51435 0.59855 0.49762 0.57954 0.54903

2.60 1.00259 0.91563 1.08464 0.86988 1.01363 0.96652 200.00 0.52834 0.50548 0.58846 0.48902 0.56972 0.53969

2.80 0.98394 0.90243 1.06428 0.85922 0.99840 0.95191

3.00 0.96741 0.89079 1.04671 0.84970 0.98504 0.93917

3.20 0.95287 0.88041 1.03133 0.84112 0.97330 0.92785

3.40 0.94005 0.87107 1.01769 0.83332 0.96284 0.91771

3.60 0.92860 0.86257 1.00546 0.82616 0.95342 0.90855

3.80 0.91818 0.85482 0.99446 0.81956 0.94486 0.90024

4.00 0.90861 0.84769 0.98448 0.81344 0.93701 0.89265

4.50 0.88793 0.83206 0.96311 0.79984 0.91997 0.87611

5.00 0.87091 0.81882 0.94563 0.78816 0.90567 0.86226

5.50 0.85640 0.80737 0.93088 0.77793 0.89344 0.85037

6.00 0.84392 0.79729 0.91822 0.76883 0.88274 0.83997

6.50 0.83300 0.78830 0.90710 0.76064 0.87323 0.83075

7.00 0.82326 0.78020 0.89725 0.75321 0.86468 0.82247

7.50 0.81451 0.77283 0.88843 0.74640 0.85693 0.81494

8.00 0.80656 0.76607 0.88042 0.74012 0.84983 0.80806

8.50 0.79928 0.75982 0.87309 0.73429 0.84328 0.80171

9.00 0.79258 0.75403 0.86634 0.72887 0.83720 0.79583

9.50 0.78638 0.74862 0.86010 0.72379 0.83153 0.79034

10.00 0.78062 0.74356 0.85429 0.71901 0.82622 0.78521

11.00 0.77020 0.73429 0.84375 0.71025 0.81650 0.77582

12.00 0.76094 0.72600 0.83438 0.70237 0.80780 0.76741

13.00 0.75265 0.71849 0.82596 0.69521 0.79991 0.75980

14.00 0.74514 0.71163 0.81830 0.68866 0.79270 0.75285

51
Collision integrals for the (15, 6, 8) potential function for y — 0.6 T* n(l - x)* ft”- 2)* ft< 2- 2)* ft”- 3)* ft(2 , 3)* ft( 3. 3)* T* ft” - »* ft”- 2>* ft< 2- 2)* ft”- 3>* ft«- 3)* ft< 3 - 3)*

0.10 3.38705 3.02488 3.54229 2.78125 3.26431 3.21527 15.00 0.74016 0.70734 0.81299 0.68471 0.78790 0.74835

0.15 2.97184 2.64977 3.12030 2.42782 2.87972 2.81289 16.00 0.73386 0.70153 0.80655 0.67912 0.78177 0.74245

0.20 2.70219 2.39800 2.85697 2.18121 2.63902 2.54291 17.00 0.72802 0.69612 0.80058 0.67392 0.77607 0.73696

0.25 2.50105 2.20432 2.66826 1.98654 2.46149 2.33841 18.00 0.72258 0.69106 0.79500 0.66906 0.77074 0.73182

0.30 2.33961 2.04525 2.51860 1.82735 2.31403 2.17426 19.00 0.71750 0.68632 0.78977 0.66449 0.76573 0.72700

0.35 2.20402 1.91165 2.39182 1.69695 2.18476 2.03895 20.00 0.71272 0.68186 0.78486 0.66018 0.76100 0.72246

0.40 2.08738 1.79824 2.28014 1.58949 2.06925 1.92456 22.00 0.70397 0.67364 0.77582 0.65225 0.75229 0.71409

0.45 1.98606 1.70160 2.18010 1.50058 1.96617 1.82636 24.00 0.69612 0.66624 0.76768 0.64509 0.74443 0.70653

0.50 1.89707 1.61859 2.08945 1.42570 1.87502 1.74065 26.00 0.68899 0.65950 0.76027 0.63856 0.73725 0.69965

0.55 1.81844 1.54747 2.00716 1.36511 1.79223 1.66813 28.00 0.68247 0.65332 0.75348 0.63258 0.73066 0.69333

0.60 1.74864 1.48558 1.93283 1.31291 1.71911 1.60376 30.00 0.67647 0.64762 0.74720 0.62706 0.72457 0.68749

0.65 1.68641 1.43184 1.86466 1.26827 1.65484 1.54628 32.00 0.67091 0.64233 0.74138 0.62193 0.71891 0.68206

0.70 1.63093 1.38449 1.80329 1.23036 1.59734 1.49605 34.00 0.66573 0.63740 0.73595 0.61715 0.71362 0.67700

0.75 1.58062 1.34335 1.74702 1.19728 1.54587 1.45121 36.00 0.66089 0.63278 0.73086 0.61267 0.70867 0.67225

0.80 1.53570 1.30657 1.69556 1.16831 1.50022 1.41087 38.00 0.65635 0.62845 0.72607 0.60846 0.70400 0.66779

0.85 1.49447 1.27367 1.64906 1.14290 1.45951 1.37454 40.00 0.65207 0.62436 0.72155 0.60449 0.69960 0.66358

0.90 1.45752 1.24476 1.60663 1.12057 1.42269 1.34216 45.00 0.64236 0.61506 0.71127 0.59547 0.68958 0.65399

0.95 1.42375 1.21869 1.56723 1.10060 1.38931 1.31288 50.00 0.63379 0.60685 0.70217 0.58750 0.68071 0.64551

1.00 1.39252 1.19500 1.53113 1.08263 1.35922 1.28618 55.00 0.62613 0.59951 0.69403 0.58037 0.67275 0.63791

1.10 1.33815 1.15384 1.46797 1.05171 1.30740 1.23946 60.00 0.61922 0.59288 0.68665 0.57393 0.66556 0.63104

1.20 1.29167 1.11999 1.41410 1.02616 1.26419 1.20032 65.00 0.61293 0.58684 0.67992 0.56806 0.65899 0.62477

1.30 1.25155 1.09118 1.36734 1.00465 1.22756 1.16721 70.00 0.60715 0.58129 0.67374 0.56267 0.65295 0.61901

1.40 1.21728 1.06638 1.32724 0.98616 1.19633 1.13872 75.00 0.60182 0.57617 0.66802 0.55770 0.64737 0.61368

1.50 1.18693 1.04490 1.29244 0.97010 1.16955 1.11392 80.00 0.59687 0.57142 0.66270 0.55308 0.64218 0.60873

1.60 1.16007 1.02622 1.26181 0.95599 1.14628 1.09224 85.00 0.59226 0.56699 0.65774 0.54878 0.63734 0.60411

1.70 1.13632 1.00977 1.23452 0.94348 1.12585 1.07315 90.00 0.58794 0.56284 0.65309 0.54474 0.63280 0.59978

1.80 1.11538 0.99505 1.21019 0.93229 1.10775 1.05620 95.00 0.58388 0.55893 0.64871 0.54096 0.62852 0.59571

1.90 1.09640 0.98181 1.18857 0.92220 1.09159 1.04107 100.00 0.58006 0.55526 0.64458 0.53738 0.62449 0.59187

2.00 1.07912 0.96983 1.16923 0.91302 1.07710 1.02744 125.00 0.56367 0.53950 0.62684 0.52208 0.60718 0.57538

2.20 1.04904 0.94903 1.13591 0.89689 1.05221 1.00382 150.00 0.55059 0.52693 0.61263 0.50987 0.59332 0.56219

2.40 1.02398 0.93154 1.10808 0.88312 1.03138 0.98407 175.00 0.53974 0.51650 0.60081 0.49975 0.58180 0.55123

2.60 1.00272 0.91656 1.08446 0.87113 1.01400 0.96717 200.00 0.53051 0.50762 0.59072 0.49113 0.57197 0.54188

2.80 0.98416 0.90347 1.06425 0.86054 0.99897 0.95262

3.00 0.96787 0.89191 1.04682 0.85108 0.98570 0.93997

3.20 0.95350 0.88159 1.03155 0.84254 0.97400 0.92874

3.40 0.94071 0.87230 1.01802 0.83478 0.96362 0.91867

3.60 0.92926 0.86386 1.00591 0.82767 0.95425 0.90958 A 3.80 0.91895 0.85615 0.99499 0.82110 0.94576 0.90132

4.00 0.90952 0.84906 0.98509 0.81501 0.93797 0.89377

4.50 0.88904 0.83352 0.96388 0.80148 0.92102 0.87734

5.00 0.87206 0.82035 0.94650 0.78986 0.90683 0.86357

5.50 0.85768 0.80896 0.93186 0.77967 0.89467 0.85175

6.00 0.84527 0.79894 0.91928 0.77061 0.88404 0.84141

6.50 0.83442 0.78999 0.90825 0.76246 0.87459 0.83224

7.00 0.82475 0.78193 0.89845 0.75506 0.86609 0.82400 *

7.50 0.81604 0.77459 0.88968 0.74828 0.85838 0.81651

8.00 0.80813 0.76786 0.88173 0.74202 0.85132 0.80966

8.50 0.80089 0.76164 0.87445 0.73622 0.84481 0.80335

9.00 0.79423 0.75587 0.86774 0.73081 0.83877 0.79749

9.50 0.78807 0.75049 0.86153 0.72575 0.83313 0.79204

10.00 0.78233 0.74544 0.85575 0.72099 0.82785 0.78692

11.00 0.77195 0.73621 0.84527 0.71226 0.81819 0.77758

12.00 0.76274 0.72795 0.83596 0.70440 0.80953 0.76921

13.00 0.75448 0.72046 0.82758 0.69726 0.80168 0.76164

14.00 0.74700 0.71363 0.81997 0.69073 0.79450 0.75471

52
Collision integrals for the (15, 6, 8 ) potential function for y — 0.8 T* n(i - n«. 2>* n< 2 . 2 >* 3)* n<2 - 3 >* ft<3. 3>* T* n(i * «* n(i* 2>* n<2- 2) * nu- 3) * n<2- 3)* ft<3- 3)*

0.10 3.29960 2.95467 3.46383 2.72242 3.19694 3.14411 15.00 0.74194 0.70925 0.81460 0.68668 0.78963 0.75013

0.15 2.90411 2.59732 3.05899 2.38544 2.82684 2.75980 16.00 0.73567 0.70345 0.80820 0.68111 0.78354 0.74426

0.20 2.64700 2.35718 2.80515 2.15040 2.59516 2.50173 17.00 0.72985 0.69806 0.80225 0.67592 0.77786 0.73879

0.25 2.45481 2.17204 2.62317 1.96415 2.42460 2.30558 18.00 0.72443 0.69302 0.79670 0.67106 0.77255 0.73367

0.30 2.30126 2.02008 2.47971 1.81126 2.28336 2.14801 19.00 0.71936 0.68829 0.79150 0.66650 0.76756 0.72886

0.35 2.17147 1.89170 2.35796 1.68492 2.15921 2.01716 20.00 0.71460 0.68383 0.78660 0.66220 0.76285 0.72434

0.40 2.05983 1.78247 2.25084 1.58057 2.04821 1.90657 22.00 0.70588 0.67564 0.77761 0.65429 0.75418 0.71600

0.45 1.96243 1.68869 2.15435 1.49375 1.94849 1.81156 24.00 0.69804 0.66825 0.76950 0.64713 0.74633 0.70846

0.50 1.87672 1.60824 2.06711 1.42181 1.85935 1.72968 26.00 0.69093 0.66152 0.76212 0.64062 0.73918 0.70160

0.55 1.80087 1.53901 1.98798 1.36108 1.78010 1.65757 28.00 0.68443 0.65535 0.75535 0.63464 0.73261 0.69529

0.60 1.73343 1.47839 1.91571 1.30995 1.70908 1.59485 30.00 0.67844 0.64966 0.74910 0.62913 0.72654 0.68946

0.65 1.67316 1.42609 1.85000 1.26584 1.64602 1.53886 32.00 0.67290 0.64438 0.74329 0.62400 0.72090 0.68405

0.70 1.61903 1.37952 1.78992 1.22846 1.59013 1.48945 34.00 0.66773 0.63945 0.73788 0.61923 0.71563 0.67900

0.75 1.57022 1.33922 1.73562 1.19589 1.53975 1.44560 36.00 0.66290 0.63484 0.73280 0.61475 0.71068 0.67427

0.80 1.52639 1.30321 1.68547 1.16723 1.49483 1.40608 38.00 0.65837 0.63051 0.72803 0.61055 0.70603 0.66981

0.85 1.48647 1.27087 1.63988 1.14200 1.45471 1.37042 40.00 0.65410 0.62643 0.72353 0.60658 0.70164 0.66561

0.90 1.44999 1.24215 1.59838 1.11990 1.41868 1.33844 45.00 0.64439 0.61714 0.71327 0.59756 0.69164 0.65604

0.95 1.41716 1.21659 1.56012 1.10016 1.38591 1.30963 50.00 0.63583 0.60893 0.70420 0.58959 0.68278 0.64757

1.00 1.38675 1.19329 1.52473 1.08237 1.35620 1.28340 55.00 0.62819 0.60159 0.69607 0.58246 0.67485 0.63998

1.10 1.33320 1.15266 1.46257 1.05170 1.30497 1.23738 60.00 0.62128 0.59496 0.68871 0.57602 0.66766 0.63311

1.20 1.28780 1.11906 1.40977 1.02630 1.26231 1.19869 65.00 0.61499 0.58892 0.68199 0.57015 0.66110 0.62685

1.30 1.24820 1.09066 1.36385 1.00497 1.22618 1.16595 70.00 0.60922 0.58338 0.67582 0.56476 0.65507 0.62109

1.40 1.21452 1.06611 1.32419 0.98663 1.19524 1.13781 75.00 0.60390 0.57826 0.67011 0.55978 0.64950 0.61577

1.50 1.18478 1.04481 1.28987 0.97068 1.16868 1.11329 80.00 0.59895 0.57350 0.66480 0.55516 0.64431 0.61082

1.60 1.15828 1.02622 1.25964 0.95666 1.14561 1.09182 85.00 0.59434 0.56907 0.65985 0.55085 0.63947 0.60620

1.70 1.13470 1.00994 1.23281 0.94423 1.12538 1.07288 90.00 0.59002 0.56492 0.65520 0.54682 0.63493 0.60188

1.80 1.11406 0.99537 1.20879 0.93310 1.10743 1.05609 95.00 0.58596 0.56101 0.65083 0.54303 0.63066 0.59780

1.90 1.09542 0.98224 1.18733 0.92307 1.09144 1.04107 100.00 0.58213 0.55733 0.64670 0.53945 0.62663 0.59396

2.00 1.07839 0.97036 1.16816 0.91395 1.07706 1.02756 125.00 0.56574 0.54157 0.62897 0.52413 0.60933 0.57747

2.20 1.04862 0.94970 1.13517 0.89792 1.05233 1.00414 150.00 0.55266 0.52898 0.61477 0.51190 0.59547 0.56427

2.40 1.02371 0.93230 1.10764 0.88423 1.03162 0.98456 175.00 0.54180 0.51854 0.60295 0.50177 0.58394 0.55330

2.60 1.00274 0.91743 1.08427 0.87231 1.01433 0.96779 200.00 0.53256 0.50965 0.59286 0.49313 0.57411 0.54395

2.80 0.98441 0.90444 1.06422 0.86179 0.99946 0.95330

3.00 0.96827 0.89295 1.04689 0.85238 0.98632 0.94071

3.20 0.95400 0.88269 1.03175 0.84388 0.97467 0.92958

3.40 0.94131 0.87346 1.01833 0.83616 0.96433 0.91958

3.60 0.92991 0.86507 1.00632 0.82908 0.95504 0.91055

3.80 0.91969 0.85741 0.99549 0.82255 0.94659 0.90234

4.00 0.91035 0.85035 0.98566 0.81650 0.93887 0.89482

4.50 0.89003 0.83489 0.96459 0.80303 0.92202 0.87850

5.00 0.87317 0.82180 0.94731 0.79146 0.90793 0.86480

5.50 0.85888 0.81047 0.93279 0.78132 0.89583 0.85305

6.00 0.84654 0.80049 0.92027 0.77230 0.88527 0.84276

6.50 0.83574 0.79159 0.90933 0.76419 0.87588 0.83364

7.00 0.82614 0.78356 0.89959 0.75681 0.86743 0.82544

7.50 0.81748 0.77625 0.89086 0.75005 0.85976 0.81800

8.00 0.80961 0.76955 0.88296 0.74382 0.85274 0.81118

8.50 0.80241 0.76336 0.87572 0.73804 0.84626 0.80490

9.00 0.79579 0.75761 0.86906 0.73266 0.84025 0.79907

9.50 0.78965 0.75225 0.86288 0.72761 0.83464 0.79364

10.00 0.78394 0.74722 0.85713 0.72287 0.82939 0.78855

11.00 0.77360 0.73803 0.84671 0.71416 0.81978 0.77925

12.00 0.76444 0.72979 0.83745 0.70632 0.81116 0.77092

13.00 0.75621 0.72233 0.82912 0.69921 0.80335 0.76337

14.00 0.74876 0.71552 0.82154 0.69269 0.79621 0.75648

53
Collision integrals for the {15, 6, 8) potential function for y= 1.0 T* nu* »* n(i - 2) * n<2. 3>* ft<3. 3)* T* na- ”* n(i - 2) * n(2- 2)* n(i * 3)* n< 2- 3)* n(3 - 3)*

0.10 3.21308 2.88610 3.38641 2.66532 3.13108 3.07438 15.00 0.74363 0.71106 0.81613 0.68855 0.79128 0.75183

0.15 2.83813 2.54542 2.99805 2.34401 2.77530 2.70792 16.00 0.73738 0.70528 0.80975 0.68299 0.78521 0.74597

0.20 2.59368 2.31688 2.75399 2.12053 2.55288 2.46149 17.00 0.73158 0.69990 0.80383 0.67782 0.77955 0.74052

0.25 2.41110 2.14094 2.57951 1.94214 2.38864 2.27346 18.00 0.72618 0.69487 0.79831 0.67297 0.77426 0.73542

0.30 2.26335 1.99511 2.44144 1.79511 2.25311 2.12199 19.00 0.72113 0.69015 0.79313 0.66842 0.76929 0.73063

0.35 2.13996 1.87207 2.32487 1.67315 2.13422 1.99609 20.00 0.71639 0.68571 0.78825 0.66412 0.76460 0.72611

0.40 2.03271 1.76669 2.22195 1.57145 2.02718 1.88885 22.00 0.70769 0.67753 0.77929 0.65622 0.75596 0.71780

0.45 1.93923 1.67629 2.12957 1.48780 1.93199 1.79800 24.00 0.69987 0.67015 0.77122 0.64908 0.74814 0.71028

0.50 1.85653 1.59880 2.04626 1.41603 1.84427 1.71650 26.00 0.69278 0.66344 0.76386 0.64257 0.74101 0.70344

0.55 1.78353 1.52988 1.96829 1.35761 1.76875 1.64800 28.00 0.68629 0.65728 0.75712 0.63660 0.73446 0.69715

0.60 1.71826 1.47214 1.89982 1.30691 1.69914 1.58602 30.00 0.68032 0.65159 0.75089 0.63109 0.72841 0.69133

0.65 1.65983 1.41969 1.83482 1.26333 1.63727 1.53124 32.00 0.67478 0.64632 0.74510 0.62597 0.72278 0.68593

0.70 1.60740 1.37514 1.77744 1.22655 1.58301 1.48308 34.00 0.66963 0.64140 0.73970 0.62120 0.71752 0.68089

0.75 1.56081 1.33576 1.72516 1.19486 1.53420 1.44054 36.00 0.66481 0.63680 0.73464 0.61672 0.71259 0.67616

0.80 1.51712 1.29962 1.67532 1.16623 1.48966 1.40146 38.00 0.66028 0.63247 0.72989 0.61252 0.70795 0.67172

0.85 1.47828 1.26735 1.63011 1.14124 1.45018 1.36644 40.00 0.65601 0.62839 0.72540 0.60856 0.70357 0.66752

0.90 1.44343 1.23926 1.58990 1.11907 1.41456 1.33471 45.00 0.64632 0.61910 0.71517 0.59954 0.69359 0.65796

0.95 1.41046 1.21477 1.55347 1.09959 1.38245 1.30635 50.00 0.63778 0.61090 0.70611 0.59157 0.68475 0.64951

1.00 1.37999 1.19223 1.51924 1.08211 1.35330 1.28069 55.00 0.63014 0.60357 0.69800 0.58444 0.67682 0.64193

1.10 1.32880 1.15148 1.45734 1.05169 1.30264 1.23537 60.00 0.62324 0.59694 0.69066 0.57800 0.66965 0.63507

1.20 1.28341 1.11783 1.40515 1.02648 1.26054 1.19716 65.00 0.61695 0.59090 0.68395 0.57212 0.66309 0.62881

1.30 1.24447 1.08997 1.36030 1.00526 1.22481 1.16473 70.00 0.61119 0.58536 0.67779 0.56673 0.65707 0.62306

1.40 1:21209 1.06591 1.32137 0.98705 1.19419 1.13688 75.00 0.60586 0.58024 0.67209 0.56176 0.65150 0.61774

1.50 1.18377 1.04471 1.28735 0.97122 1.16785 1.11268 80.00 0.60092 0.57548 0.66679 0.55713 0.64632 0.61279

1.60 1.15690 1.02633 1.25765 0.95730 1.14500 1.09142 85.00 0.59631 0.57105 0.66184 0.55282 0.64149 0.60818

1.70 1.13327 1.01008 1.23114 0.94492 1.12490 1.07262 90.00 0.59199 0.56689 0.65720 0.54878 0.63695 0.60385

1.80 1.11213 0.99562 1.20738 0.93387 1.10714 1.05597 95.00 0.58793 0.56299 0.65283 0.54499 0.63268 0.59978

1.90 1.09387 0.98260 1.18613 0.92389 1.09127 1.04107 100.00 0.58411 0.55930 0.64870 0.54141 0.62865 0.59594

2.00 1.07748 0.97085 1.16714 0.91483 1.07701 1.02767 125.00 0.56771 0.54353 0.63099 0.52607 0.61136 0.57945

2.20 1.04823 0.95031 1.13444 0.89889 1.05245 1.00444 150.00 0.55462 0.53093 0.61679 0.51383 0.59750 0.56624

2.40 1.02369 0.93304 1.10723 0.88528 1.03187 0.98501 175.00 0.54376 0.52048 0.60498 0.50368 0.58597 0.55527

2.60 1.00273 0.91825 1.08410 0.87342 1.01466 0.96836 200.00 0.53450 0.51157 0.59489 0.49503 0.57613 0.54590

2.80 0.98454 0.90535 1.06420 0.86296 0.99989 0.95396

3.00 0.96865 0.89393 1.04697 0.85360 0.98690 0.94141

3.20 0.95451 0.88372 1.03191 0.84515 0.97533 0.93035

3.40 0.94178 0.87455 1.01861 0.83746 0.96502 0.92044

3.60 0.93055 0.86622 1.00671 0.83042 0.95578 0.91146

3.80 0.92038 0.85859 0.99595 0.82392 0.94738 0.90330

4.00 0.91115 0.85157 0.98619 0.81790 0.93971 0.89583

4.50 0.89095 0.83619 0.96526 0.80450 0.92297 0.87959

5.00 0.87420 0.82316 0.94809 0.79298 0.90897 0.86597

5.50 0.86005 0.81189 0.93366 0.78288 0.89693 0.85428

6.00 0.84774 0.80196 0.92122 0.77390 0.88642 0.84405

6.50 0.83698 0.79310 0.91034 0.76582 0.87709 0.83497

7.00 0.82744 0.78510 0.90066 0.75847 0.86869 0.82681

7.50 0.81883 0.77783 0.89198 0.75174 0.86106 0.81940

8.00 0.81101 0.77115 0.88412 0.74553 0.85408 0.81262

8.50 0.80386 0.76499 0.87693 0.73977 0.84763 0.80637

9.00 0.79726 0.75926 0.87031 0.73440 0.84166 0.80056

9.50 0.79116 0.75392 0.86416 0.72937 0.83608 0.79516

10.00 0.78547 0.74891 0.85844 0.72464 0.83085 0.79009

11.00 0.77517 0.73975 0.84808 0.71596 0.82129 0.78083

12.00 0.76605 0.73154 0.83887 0.70815 0.81271 0.77253

13.00 0.75785 0.72410 0.83058 0.70105 0.80494 0.76502

14.00 0.75042 0.71731 0.82304 0.69455 0.79783 0.75815

54
Collision integrals for the (15, 6, 8) potential function for y = 1.5 T* »* ft* 1 - 2>* n(2- 2> * a*1 - 3>* n«- 3)* tt< 3 - 3) * T* »* n(i- 2)* n<2- 2) * n(i - 3) * ft<2 - 3)* n<3 - 3)*

0.10 2.99698 2.71491 3.19075 2.52552 2.96753 2.90252 15.00 0.74751 0.71522 0.81963 0.69286 0.79506 0.75572

0.15 2.67285 2.41692 2.84645 2.24843 2.65466 2.58548 16.00 0.74131 0.70947 0.81333 0.68733 0.78905 0.74992

0.20 2.46100 2.22480 2.63553 2.04603 2.44846 2.36184 17.00 0.73556 0.70412 0.80747 0.68217 0.78344 0.74451

0.25 2.30320 2.07198 2.48146 1.89504 2.30887 2.20270 18.00 0.73020 0.69912 0.80200 0.67735 0.77820 0.73945

0.30 2.17679 1.94190 2.35699 1.76168 2.18668 2.06554 19.00 0.72519 0.69443 0.79687 0.67281 0.77327 0.73469

0.35 2.06943 1.83000 2.25111 1.64872 2.07851 1.94972 20.00 0.72048 0.69001 0.79205 0.66854 0.76862 0.73021

0.40 1.96985 1.73334 2.15772 1.55551 1.98290 1.85268 22.00 0.71184 0.68187 0.78317 0.66066 0.76005 0.72195

0.45 1.88830 1.64710 2.07095 1.47386 1.89276 1.76509 24.00 0.70407 0.67453 0.77517 0.65354 0.75229 0.71448

0.50 1.81233 1.57361 1.99355 1.40289 1.80935 1.68627 26.00 0.69702 0.66784 0.76788 0.64706 0.74522 0.70767

0.55 1.74601 1.50825 1.92150 1.35101 1.74276 1.62629 28.00 0.69057 0.66170 0.76118 0.64110 0.73871 0.70141

0.60 1.68537 1.45722 1.86176 1.29878 1.67465 1.56422 30.00 0.68462 0.65604 0.75500 0.63560 0.73269 0.69563

0.65 1.63188 1.40455 1.79894 1.25869 1.61796 1.51442 32.00 0.67911 0.65078 0.74926 0.63050 0.72710 0.69026

0.70 1.58217 1.36521 1.74827 1.22358 1.56720 1.46960 34.00 0.67398 0.64588 0.74390 0.62573 0.72187 0.68524

0.75 1.53551 1.32651 1.69828 1.19087 1.51925 1.42682 36.00 0.66918 0.64129 0.73888 0.62126 0.71697 0.68053

0.80 1.49892 1.29045 1.65073 1.16320 1.47683 1.38962 38.00 0.66467 0.63697 0.73415 0.61707 0.71235 0.67610

0.85 1.45753 1.26057 1.60895 1.13970 1.43971 1.35718 40.00 0.66042 0.63289 0.72969 0.61311 0.70799 0.67192

0.90 1.42736 1.23596 1.57336 1.11867 1.40618 1.32750 45.00 0.65077 0.62363 0.71952 0.60409 0.69806 0.66239

0.95 1.39388 1.20937 1.53595 1.09845 1.37437 1.29897 50.00 0.64224 0.61544 0.71051 0.59613 0.68925 0.65396

1.00 1.36495 1.18720 1.50340 1.08134 1.34634 1.27409 55.00 0.63462 0.60811 0.70244 0.58900 0.68135 0.64640

1.10 1.32000 1.14825 1.44463 1.05147 1.29705 1.23033 60.00 0.62774 0.60149 0.69513 0.58255 0.67420 0.63955

1.20 1.27301 1.11736 1.39644 1.02715 1.25657 1.19384 65.00 0.62146 0.59545 0.68845 0.57668 0.66767 0.63331

1.30 1.23802 1.08856 1.35213 1.00586 1.22153 1.16185 70.00 0.61570 0.58991 0.68231 0.57128 0.66166 0.62756

1.40 1.20723 1.06498 1.31437 0.98800 1.19177 1.13473 75.00 0.61039 0.58478 0.67663 0.56630 0.65611 0.62225

1.50 1.17726 1.04416 1.28115 0.97244 1.16598 1.11116 80.00 0.60545 0.58003 0.67134 0.56167 0.65094 0.61731

1.60 1.15168 1.02695 1.25321 0.95870 1.14350 1.09040 85.00 0.60084 0.57559 0.66641 0.55735 0.64611 0.61270

1.70 1.13060 1.01034 1.22700 0.94648 1.12380 1.07200 90.00 0.59652 0.57143 0.66178 0.55330 0.64158 0.60838

1.80 1.11141 0.99615 1.20407 0.93564 1.10645 1.05574 95.00 0.59247 0.56752 0.65742 0.54950 0.63732 0.60431

1.90 1.09156 0.98348 1.18345 0.92589 1.09101 1.04121 100.00 0.58864 0.56383 0.65330 0.54591 0.63330 0.60047

2.00 1.07552 0.97195 1.16483 0.91680 1.07687 1.02789 125.00 0.57224 0.54803 0.63562 0.53054 0.61601 0.58397

2.20 1.04668 0.95167 1.13270 0.90109 1.05272 1.00509 150.00 0.55913 0.53540 0.62143 0.51827 0.60215 0.57076

2.40 1.02406 0.93479 1.10626 0.88764 1.03262 0.98596 175.00 0.54825 0.52492 0.60963 0.50808 0.59062 0.55978

2.60 1.00246 0.92008 1.08357 0.87595 1.01544 0.96966 200.00 0.53897 0.51599 0.59954 0.49940 0.58078 0.55040

2.80 0.98493 0.90738 1.06411 0.86561 1.00085 0.95549

3.00 0.96945 0.89615 1.04717 0.85639 0.98813 0.94308

3.20 0.95547 0.88610 1.03234 0.84805 0.97682 0.93212

3.40 0.94291 0.87705 1.01924 0.84045 0.96664 0.92236

3.60 0.93222 0.86882 1.00754 0.83348 0.95747 0.91355

3.80 0.92272 0.86128 0.99698 0.82706 0.94920 0.90550

4.00 0.91277 0.85434 0.98739 0.82110 0.94162 0.89813

4.50 0.89306 0.83915 0.96681 0.80785 0.92515 0.88208

5.00 0.87660 0.82629 0.94988 0.79645 0.91132 0.86865

5.50 0.86260 0.81514 0.93563 0.78646 0.89946 0.85709

6.00 0.85044 0.80532 0.92339 0.77756 0.88907 0.84699

6.50 0.84012 0.79655 0.91265 0.76956 0.87987 0.83802

7.00 0.83041 0.78865 0.90313 0.76228 0.87158 0.82995

7.50 0.82193 0.78144 0.89456 0.75561 0.86405 0.82263

8.00 0.81421 0.77483 0.88679 0.74945 0.85715 0.81592

8.50 0.80714 0.76872 0.87969 0.74373 0.85079 0.80974

9.00 0.80063 0.76305 0.87316 0.73841 0.84488 0.80400

9.50 0.79459 0.75775 0.86711 0.73341 0.83937 0.79864

10.00 0.78896 0.75278 0.86146 0.72872 0.83420 0.79363

11.00 0.77877 0.74370 0.85121 0.72010 0.82475 0.78446

12.00 0.76973 0.73555 0.84211 0.71234 0.81627 0.77624

13.00 0.76160 0.72817 0.83392 0.70528 0.80858 0.76880

14.00 0.75427 0.72143 0.82647 0.69882 0.80154 0.76199

55
Collision integrals for the (16, 6, 8) potential function for y=0.

T* n(i - n(i - 2) * n<2 - 2) * n(i - 3) * n<2 - 3)* n<3- 3) * T* n(i - »>* n(i - 2) * n<2- 2> * n(i - 3) * n<2 - 3)* n<3 - 3)*

0.10 3.57008 3.16949 3.70544 2.89757 3.39962 3.35904 15.00 0.74520 0.71304 0.81635 0.69094 0.79173 0.75319

0.15 3.10938 2.75180 3.24422 2.50731 2.98194 2.91637 16.00 0.73903 0.70737 0.81004 0.68550 0.78574 0.74743

0.20 2.81146 2.47512 2.95795 2.23618 2.72116 2.61963 17.00 0.73331 0.70209 0.80418 0.68044 0.78016 0.74206

0.25 2.58911 2.26216 2.75262 2.02480 2.52816 2.39735 18.00 0.72799 0.69716 0.79871 0.67570 0.77495 0.73705

0.30 2.41236 2.08968 2.59017 1.85444 2.36795 2.22074 19.00 0.72302 0.69254 0.79360 0.67125 0.77006 0.73234

0.35 2.26377 1.94608 2.45257 1.71611 2.22794 2.07585 20.00 0.71835 0.68818 0.78879 0.66706 0.76544 0.72791

0.40 2.13758 1.82533 2.33174 1.60410 2.10437 1.95518 22.00 0.70980 0.68018 0.77995 0.65935 0.75695 0.71975

0.45 2.02813 1.72398 2.22464 1.51050 1.99258 1.84995 24.00 0.70213 0.67297 0.77199 0.65238 0.74928 0.71239

0.50 1.93309 1.63548 2.12599 1.43583 1.89750 1.76274 26.00 0.69518 0.66641 0.76476 0.64604 0.74229 0.70569

0.55 1.84935 1.56199 2.03990 1.37125 1.80943 1.68446 28.00 0.68882 0.66040 0.75813 0.64023 0.73587 0.69953

0.60 1.77560 1.49653 1.95875 1.31792 1.73383 1.61722 30.00 0.68297 0.65486 0.75201 0.63486 0.72994 0.69385

0.65 1.70981 1.44222 1.88920 1.27362 1.66777 1.55899 32.00 0.67756 0.64972 0.74633 0.62989 0.72443 0.68857

0.70 1.65165 1.39353 1.82397 1.23473 1.60769 1.50681 34.00 0.67252 0.64493 0.74104 0.62524 0.71929 0.68365

0.75 1.59870 1.34971 1.76332 1.20096 1.55470 1.46016 36.00 0.66780 0.64044 0.73608 0.62090 0.71447 0.67904

0.80 1.55260 1.31241 1.71076 1.17155 1.50778 1.41840 38.00 0.66338 0.63623 0.73142 0.61681 0.70994 0.67470

0.85 1.50907 1.28020 1.66361 1.14612 1.46584 1.38154 40.00 0.65922 0.63225 0.72702 0.61296 0.70566 0.67061

0.90 1.46974 1.25092 1.61934 1.12367 1.42812 1.34859 45.00 0.64977 0.62323 0.71702 0.60420 0.69592 0.66129

0.95 1.43562 1.22365 1.57799 1.10352 1.39417 1.31857 50.00 0.64144 0.61526 0.70817 0.59647 0.68731 0.65306

1.00 1.40414 1.19939 1.54087 1.08537 1.36359 1.29117 55.00 0.63400 0.60813 0.70025 0.58955 0.67959 0.64568

1.10 1.34603 1.15759 1.47569 1.05440 1.31100 1.24372 60.00 0.62728 0.60170 0.69309 0.58331 0.67261 0.63901

1.20 1.29885 1.12360 1.42028 1.02881 1.26703 1.20410 65.00 0.62117 0.59584 0.68656 0.57762 0.66623 0.63293

1.30 1.26001 1.09442 1.37275 1.00724 1.22995 1.17057 70.00 0.61556 0.59046 0.68055 0.57239 0.66038 0.62734

1.40 1.22429 1.06954 1.33216 0.98876 1.19856 1.14171 75.00 0.61039 0.58549 0.67500 0.56757 0.65497 0.62217

1.50 1.19252 1.04796 1.29663 0.97269 1.17155 1.11668 80.00 0.60559 0.58088 0.66985 0.56309 0.64994 0.61737

1.60 1.16457 1.02917 1.26521 0.95862 1.14813 1.09487 85.00 0.60111 0.57658 0.66503 0.55892 0.64524 0.61289

1.70 1.14076 1.01260 1.23745 0.94616 1.12757 1.07568 90.00 0.59692 0.57256 0.66052 0.55501 0.64084 0.60869

1.80 1.11981 0.99787 1.21303 0.93502 1.10935 1.05868 95.00 0.59298 0.56877 0.65627 0.55133 0.63670 0.60474

1.90 1.10061 0.98460 1.19127 0.92496 1.09313 1.04348 100.00 0.58927 0.56520 0.65226 0.54787 0.63279 0.60101

2.00 1.08301 0.97257 1.17168 0.91581 1.07861 1.02978 125.00 0.57337 0.54992 0.63506 0.53303 0.61601 0.58502

2.20 1.05288 0.95183 1.13804 0.89976 1.05370 1.00610 150.00 0.56068 0.53773 0.62129 0.52118 0.60258 0.57222

2.40 1.02758 0.93442 1.10996 0.88609 1.03295 0.98631 175.00 0.55016 0.52761 0.60984 0.51136 0.59142 0.56159

2.60 1.00607 0.91945 1.08620 0.87418 1.01556 0.96944 200.00 0.54120 0.51900 0.60007 0.50299 0.58190 0.55252

2.80 0.98746 0.90640 1.06598 0.86368 1.00041 0.95501

3.00 0.97095 0.89489 1.04853 0.85431 0.98719 0.94238

3.20 0.95665 0.88465 1.03324 0.84586 0.97560 0.93116

3.40 0.94393 0.87542 1.01967 0.83819 0.96525 0.92114

3.60 0.93256 0.86705 1.00753 0.83115 0.95594 0.91211

3.80 0.92219 0.85941 0.99663 0.82467 0.94746 0.90391

4.00 0.91269 0.85239 0.98673 0.81866 0.93971 0.89643

4.50 0.89225 0.83701 0.96558 0.80532 0.92290 0.88012

5.00 0.87542 0.82399 0.94831 0.79388 0.90882 0.86649

5.50 0.86112 0.81275 0.93375 0.78386 0.89680 0.85480

6.00 0.84882 0.80286 0.92125 0.77496 0.88628 0.84459

6.50 0.83806 0.79406 0.91029 0.76696 0.87694 0.83555

7.00 0.82848 0.78612 0.90061 0.75970 0.86855 0.82742

7.50 0.81987 0.77891 0.89193 0.75305 0.86095 0.82005

8.00 0.81205 0.77229 0.88405 0.74692 0.85399 0.81331

8.50 0.80491 0.76619 0.87685 0.74124 0.84758 0.80710

9.00 0.79833 0.76053 0.87022 0.73595 0.84163 0.80135

9.50 0.79226 0.75525 0.86410 0.73100 0.83609 0.79599

10.00 0.78662 0.75030 0.85840 0.72635 0.83090 0.79097

11.00 0.77641 0.74127 0.84808 0.71782 0.82141 0.78181

12.00 0.76736 0.73318 0.83892 0.71015 0.81292 0.77361

13.00 0.75925 0.72586 0.83068 0.70318 0.80522 0.76619

14.00 0.75191 0.71918 0.82320 0.69681 0.79819 0.75942

56
Collision integrals for the (16, 6, 8) potential function for y — 0.2 T* ft«* 2) * n<2- 2) * 3>* n<2 - 3) * n(3- 3) * T* ft(1 * »* fl<*> 2)* n<2- 2)* n«* 3) * n<2- 3)* ft<3. 3)*

0.10 3.47716 3.09286 3.62186 2.83247 3.32727 3.28108 15.00 0.74727 0.71526 0.81822 0.69322 0.79374 0.75526

0.15 3.03686 2.69930 3.18304 2.46593 2.93045 2.86397 16.00 0.74113 0.70960 0.81194 0.68780 0.78778 0.74952

0.20 2.74908 2.43524 2.90709 2.20766 2.67851 2.58057 17.00 0.73543 0.70433 0.80612 0.68275 0.78223 0.74418

0.25 2.54130 2.23068 2.70720 2.00444 2.49171 2.36611 18.00 0.73013 0.69942 0.80068 0.67802 0.77705 0.73918

0.30 2.37476 2.06517 2.55050 1.83915 2.33640 2.19453 19.00 0.72518 0.69481 0.79559 0.67358 0.77217 0.73449

0.35 2.23224 1.92764 2.41875 1.70486 2.20118 2.05407 20.00 0.72053 0.69047 0.79081 0.66940 0.76758 0.73008

0.40 2.11156 1.81009 2.30147 1.59632 2.08298 1.93739 22.00 0.71201 0.68249 0.78201 0.66170 0.75912 0.72195

0.45 2.00534 1.71122 2.19779 1.50451 1.97483 1.83495 24.00 0.70436 0.67529 0.77409 0.65474 0.75147 0.71460

0.50 1.91371 1.62512 2.10266 1.42941 1.88023 1.74826 26.00 0.69743 0.66875 0.76689 0.64841 0.74451 0.70792

0.55 1.83230 1.55174 2.01710 1.36723 1.79651 1.67308 28.00 0.69109 0.66275 0.76028 0.64261 0.73811 0.70178

0.60 1.76061 1.49024 1.94171 1.31558 1.72343 1.60845 30.00 0.68525 0.65721 0.75419 0.63725 0.73220 0. 6%11

0.65 1.69775 1.43564 1.87197 1.27048 1.65774 1.54996 32.00 0.67985 0.65208 0.74853 0.63227 0.72670 0.69084

0.70 1.63967 1.38729 1.80882 1.23237 1.59933 1.49915 34.00 0.67482 0.64729 0.74325 0.62763 0.72158 0.68593

0.75 1.58818 1.34664 1.75210 1.20027 1.54854 1.45496 36.00 0.67012 0.64281 0.73831 0.62329 0.71677 0.68132

0.80 1.54382 1.30988 1.70051 1.17034 1.50158 1.41312 38.00 0.66571 0.63860 0.73367 0.61920 0.71225 0.67699

0.85 1.49916 1.27640 1.65282 1.14512 1.46062 1.37675 40.00 0.66155 0.63463 0.72928 0.61535 0.70799 0.67291

0.90 1.46312 1.24745 1.60972 1.12287 1.42355 1.34429 45.00 0.65211 0.62561 0.71931 0.60660 0.69827 0.66361

0.95 1.43033 1.22123 1.56983 1.10290 1.39005 1.31481 50.00 0.64379 0.61765 0.71049 0.59887 0.68967 0.65538

1.00 1.39668 1.19805 1.53428 1.08507 1.36001 1.28805 55.00 0.63636 0.61052 0.70258 0.59195 0. 681% 0.64801

1.10 1.34131 1.15624 1.46973 1.05436 1.30818 1.24131 60.00 0.62965 0.60409 0.69544 0.58570 0.67499 0.64135

1.20 1.29662 1.12252 1.41536 1.02900 1.26493 1.20220 65.00 0.62355 0.59823 0.68891 0.58001 0.66863 0.63527

1.30 1.25544 1.09367 1.36844 1.00763 1.22832 1.16913 70.00 0.61794 0.59285 0.68292 0.57478 0.66278 0.62968

1.40 1.22076 1.06982 1.32923 0.98928 1.19720 1.14065 75.00 0.61277 0.58788 0.67738 0.56996 0.65737 0.62452

1.50 1.19192 1.04778 1.29364 0.97335 1.17050 1.11592 80.00 0.60797 0.58327 0.67223 0.56547 0.65235 0.61972

1.60 1.16290 1.02925 1.26289 0.95949 1.14745 1.09445 85.00 0.60349 0.57897 0.66742 0.56130 0.64766 0.61524

1.70 1.13922 1.01287 1.23554 0.94701 1.12699 1.07535 90.00 0.59930 0.57494 0.66291 0.55738 0.64326 0.61105

1.80 1.11828 0.99823 1.21127 0.93595 1.10899 1.05851 95.00 0.59536 0.57115 0.65867 0.55370 0.63912 0.60710

1.90 1.09918 0.98505 1.18972 0.92597 1.09293 1.04347 100.00 0.59165 0.56758 0.65467 0.55023 0.63521 0.60337

2.00 1.08217 0.97317 1.17041 0.91690 1.07853 1.02992 125.00 0.57574 0.55229 0.63748 0.53537 0.61845 0.58738

2.20 1.05237 0.95271 1.13733 0.90096 1.05382 1.00647 150.00 0.56305 0.54008 0.62372 0.52351 0.60502 0.57458

2.40 1.02743 0.93531 1.10949 0.88738 1.03319 0.98686 175.00 0.55252 0.52995 0.61227 0.51367 0.59386 0.56395

2.60 1.00621 0.92048 1.08597 0.87557 1.01598 0.97014 200.00 0.54355 0.52132 0.60250 0.50528 0.58433 0.55487

2.80 0.98765 0.90753 1.06590 0.86513 1.00102 0.95577

3.00 0.97142 0.89611 1.04861 0.85581 0.98788 0.94325

3.20 0.95776 0.88593 1.03346 0.84742 0.97635 0.93214

3.40 0.94458 0.87677 1.02002 0.83979 0.96608 0.92219

3.60 0.93330 0.86848 1.00803 0.83281 0.95685 0.91323

3.80 0.92307 0.86091 0.99723 0.82637 0.94845 0.90508

4.00 0.91369 0.85389 0.98739 0.82039 0.94076 0.89765

4.50 0.89343 0.83861 0.96642 0.80713 0.92407 0.88146

5.00 0.87667 0.82568 0.94926 0.79574 0.91010 0.86793

5.50 0.86264 0.81450 0.93482 0.78578 0.89815 0.85631

6.00 0.85029 0.80467 0.92242 0.77692 0.88771 0.84617

6.50 0.83961 0.79591 0.91155 0.76896 0.87844 0.83718

7.00 0.83010 0.78802 0.90192 0.76173 0.87011 0.82910

7.50 0.82155 0.78084 0.89331 0.75511 0.86256 0.82178

8.00 0.81378 0.77426 0.88549 0.74902 0.85564 0.81508

8.50 0.80668 0.76819 0.87834 0.74336 0.84927 0.80891

9.00 0.80015 0.76255 0.87176 0.73809 0.84336 0.80318

9.50 0.79411 0.75730 0.86568 0.73316 0.83785 0.79785

10.00 0.78849 0.75237 0.86002 0.72852 0.83269 0.79286

11.00 0.77833 0.74338 0.84976 0.72002 0.82327 0.78375

12.00 0.76934 0.73532 0.84066 0.71237 0.81482 0.77559

13.00 0.76126 0.72803 0.83247 0.70543 0.80717 0.76820

14.00 0.75395 0.72137 0.82503 0.69908 0.80018 0.76146

57
Collision integrals for the (16, 6, 8) potential function for y — 0.4 T* n(i - 2)* ft< 2- n(i * 3) * n(2 > 3)* n<3- 3)* T* n(l - »* na- 2) * n< 2- 2)* n(i* 3)* n<2> 3)* n< 3- 3) *

0.10 3.38537 3.01735 3.53852 2.77140 3.25818 3.20748 15.00 0.74922 0.71733 0.81998 0.69537 0.79563 0.75720

0.15 2.96470 2.63838 3.11181 2.41513 2.86838 2.80103 16.00 0.74309 0.71169 0.81373 0.68995 0.78970 0.75148

0.20 2.69204 2.38612 2.84592 2.16941 2.62612 2.53052 17.00 0.73742 0.70644 0.80794 0.68491 0.78418 0.74616

0.25 2.48980 2.19345 2.65644 1.97494 2.44604 2.32462 18.00 0.73214 0.70154 0.80253 0.68020 0.77901 0.74119

0.30 2.32855 2.03517 2.50559 1.81860 2.29982 2.16260 19.00 0.72721 0.69694 0.79747 0.67577 0.77416 0.73652

0.35 2.19522 1.90297 2.37884 1.69090 2.17260 2.02920 20.00 0.72257 0.69261 0.79270 0.67159 0.76958 0.73211

0.40 2.07777 1.79021 2.26676 1.58420 2.05727 1.91502 22.00 0.71408 0.68465 0.78395 0.66390 0.76116 0.72401

0.45 1.97714 1.69553 2.16813 1.49647 1.95521 1.81799 24.00 0.70646 0.67747 0.77606 0.65696 0.75354 0.71669

0.50 1.88922 1.61298 2.07755 1.42434 1.86660 1.73502 26.00 0.69954 0.67093 0.76889 0.65064 0.74660 0.71002

0.55 1.81134 1.54426 1.99781 1.36347 1.78408 1.66218 28.00 0.69322 0.66495 0.76231 0.64484 0.74022 0.70390

0.60 1.74179 1.48177 1.92264 1.31147 1.71124 1.59789 30.00 0.68740 0.65942 0.75624 0.63949 0.73433 0.69824

0.65 1.68071 1.42925 1.85575 1.26745 1.64776 1.54132 32.00 0.68201 0.65429 0.75060 0.63452 0.72886 0.69299

0.70 1.62577 1.38276 1.79532 1.23063 1.59178 1.49227 34.00 0.67699 0.64951 0.74534 0.62988 0.72374 0.68809

0.75 1.57606 1.34170 1.73927 1.19788 1.54083 1.44787 36.00 0.67230 0.64504 0.74042 0.62554 0.71895 0.68349

0.80 1.53186 1.30506 1.68795 1.16938 1.49582 1.40814 38.00 0.66789 0.64083 0.73579 0.62146 0.71444 0.67917

0.85 1.49168 1.27259 1.64190 1.14397 1.45524 1.37196 40.00 0.66374 0.63687 0.73142 0.61761 0.71019 0.67510

0.90 1.45430 1.24473 1.60091 1.12201 1.41903 1.34001 45.00 0.65432 0.62785 0.72147 0.60886 0.70049 0.66581

0.95 1.42061 1.21943 1.56252 1.10245 1.38626 1.31127 50.00 0.64601 0.61989 0.71267 0.60112 0.69191 0.65760

1.00 1.39092 1.19581 1.52656 1.08478 1.35661 1.28501 55.00 0.63859 0.61277 0.70479 0.59421 0.68422 0.65024

1.10 1.33682 1.15478 1.46359 1.05437 1.30552 1.23901 60.00 0.63189 0.60634 0.69766 0.58796 0.67726 0.64358

1.20 1.29019 1.12133 1.41045 1.02912 1.26283 1.20033 65.00 0.62578 0.60048 0.69115 0.58226 0.67090 0.63751

1.30 1.25114 1.09323 1.36465 1.00794 1.22672 1.16766 70.00 0.62018 0.59510 0.68517 0.57703 0.66506 0.63192

1.40 1.21857 1.06879 1.32504 0.98977 1.19592 1.13961 75.00 0.61501 0.59013 0.67964 0.57220 0.65966 0.62676

1.50 1.18828 1.04779 1.29087 0.97398 1.16952 1.11520 80.00 0.61021 0.58552 0.67449 0.56772 0.65464 0.62197

1.60 1.16155 1.02924 1.26053 0.96010 1.14656 1.09382 85.00 0.60574 0.58122 0.66969 0.56353 0.64995 0.61749

1.70 1.13717 1.01301 1.23359 0.94782 1.12646 1.07503 90.00 0.60155 0.57718 0.66519 0.55962 0.64556 0.61329

1.80 1.11656 0.99852 1.20960 0.93682 1.10862 1.05833 95.00 0.59761 0.57340 0.66095 0.55593 0.64142 0.60935

1.90 1.09822 0.98553 1.18830 0.92691 1.09271 1.04344 100.00 0.59389 0.56982 0.65695 0.55246 0.63752 0.60562

2.00 1.08140 0.97377 1.16924 0.91791 1.07844 1.03002 125.00 0.57798 0.55451 0.63978 0.53758 0.62075 0.58963

2.20 1.05210 0.95332 1.13639 0.90208 1.05392 1.00679 150.00 0.56528 0.54229 0.62602 0.52570 0.60733 0.57682

2.40 1.02717 0.93612 1.10898 0.88858 1.03342 0.98738 175.00 0.55474 0.53214 0.61458 0.51584 0.59616 0.56618

2.60 1.00614 0.92143 1.08574 0.87684 1.01631 0.97078 200.00 0.54576 0.52350 0.60480 0.50744 0.58663 0.55710

2.80 0.98793 0.90858 1.06583 0.86649 1.00157 0.95647

3.00 0.97195 0.89723 1.04865 0.85723 0.98855 0.94405

3.20 0.95773 0.88713 1.03364 0.84888 0.97705 0.93305

3.40 0.94529 0.87804 1.02035 0.84130 0.96687 0.92317

3.60 0.93399 0.86978 1.00845 0.83435 0.95768 0.91427

3.80 0.92389 0.86224 0.99772 0.82795 0.94936 0.90618

4.00 0.91462 0.85530 0.98800 0.82201 0.94174 0.89878

4.50 0.89448 0.84011 0.96719 0.80882 0.92515 0.88272

5.00 0.87791 0.82725 0.95014 0.79749 0.91129 0.86927

5.50 0.86383 0.81614 0.93582 0.78757 0.89941 0.85773

6.00 0.85168 0.80636 0.92350 0.77876 0.88905 0.84764

6.50 0.84105 0.79765 0.91272 0.77084 0.87984 0.83870

7.00 0.83161 0.78980 0.90315 0.76364 0.87156 0.83068

7.50 0.82311 0.78265 0.89459 0.75705 0.86405 0.82339

8.00 0.81540 0.77611 0.88683 0.75098 0.85719 0.81673

8.50 0.80834 0.77006 0.87974 0.74534 0.85085 0.81059

9.00 0.80185 0.76445 0.87320 0.74009 0.84498 0.80490

9.50 0.79583 0.75921 0.86715 0.73518 0.83950 0.79960

10.00 0.79024 0.75431 0.86153 0.73056 0.83437 0.79463

11.00 0.78013 0.74535 0.85133 0.72209 0.82500 0.78556

12.00 0.77118 0.73732 0.84228 0.71446 0.81660 0.77744

13.00 0.76315 0.73006 0.83414 0.70754 0.80899 0.77009

14.00 0.75586 0.72343 0.82675 0.70121 0.80203 0.76338

58
Collision integrals for the {16, 6, 8) potential function for y = 0.6 T* ft<>. »* H(1 - 3)* n<2- 3) * n(3- 3) * T* na- na- 2)* n<2 - 2) * n«- 3) * n(2- 3)* n<3»

0.10 3.29341 2.94385 3.45654 2.70898 3.18685 3.13200 15.00 0.75104 0.71928 0.82163 0.69739 0.79741 0.75903

0.15 2.89369 2.58170 3.04585 2.36982 2.81256 2.74422 16.00 0.74494 0.71366 0.81542 0.69199 0.79151 0.75334

0.20 2.63397 2.34225 2.79081 2.13632 2.57938 2.48631 17.00 0.73930 0.70843 0. 80%5 0. 686% 0.78601 0.74804

0.25 2.44186 2.15794 2.60731 1.95185 2.40795 2.29077 18.00 0.73404 0.70354 0.80427 0.68225 0.78087 0.74308

0.30 2.28766 2.00772 2.46378 1.80161 2.26762 2.13484 19.00 0.72912 0.69895 0.79923 0.67783 0.77603 0.73842

0.35 2.15882 1.88095 2.34217 1.67645 2.14356 2.00441 20.00 0.72450 0.69463 0.79449 0.67366 0.77148 0.73404

0.40 2.04801 1.77329 2.23567 1.57382 2.03387 1.89510 22.00 0.71603 0.68669 0.78578 0.66599 0.76308 0.72596

0.45 1.95160 1.68104 2.14007 1.48973 1.93694 1.80290 24.00 0.70843 0.67952 0.77792 0.65906 0.75550 0.71866

0.50 1.86673 1.60263 2.05458 1.41777 1.84778 1.72059 26.00 0.70153 0.67300 0.77078 0.65274 0.74858 0.71201

0.55 1.79207 1.53308 1.97497 1.35928 1.77123 1.65113 28.00 0.69522 0.66702 0.76422 0.64695 0.74222 0.70590

0.60 1.72554 1.47470 1.90505 1.30798 1.70016 1.58806 30.00 0.68942 0.66150 0.75817 0.64160 0.73635 0.70026

0.65 1.66607 1.42171 1.83855 1.26466 1.63807 1.53308 32.00 0.68404 0.65638 0.75256 0.63663 0.73089 0.69502

0.70 1.61287 1.37719 1.78069 1.22833 1.58375 1.48495 34.00 0.67903 0.65161 0.74732 0.63200 0.72579 0.69013

0.75 1.56558 1.33776 1.72765 1.19647 1.53438 1.44198 36.00 0.67435 0.64714 0.74241 0.62766 0.72101 0.68554

0.80 1.52116 1.30111 1.67679 1.16792 1.48970 1.40267 38.00 0.66995 0.64294 0.73779 0.62358 0.71651 0.68123

0.85 1.48273 1.26941 1.63193 1.14303 1.45013 1.36754 40.00 0.66581 0.63898 0.73344 0.61974 0.71226 0.67716

0.90 1.44692 1.24146 1.59152 1.12116 1.41459 1.33592 45.00 0.65640 0.62997 0.72352 0.61098 0.70259 0.66789

0.95 1.41338 1.21699 1.55470 1.10183 1.38245 1.30763 50.00 0.64810 0.62201 0.71474 0.60325 0.69402 0.65969

1.00 1.38329 1.19417 1.51994 1.08444 1.35331 1.28195 55.00 0.64069 0.61490 0.70687 0. 5%34 0.68634 0.65234

1.10 1.33186 1.15362 1.45799 1.05421 1.30275 1.23660 60.00 0.63399 0.60847 0.69976 0.59008 0.67939 0.64569

1.20 1.28564 1.12017 1.40564 1.02924 1.26078 1.19854 65.00 0.62789 0.60261 0.69326 0.58438 0.67305 0.63962

1.30 1.24706 1.09250 1.36074 1.00822 1.22517 1.16625 70.00 0.62229 0.59722 0.68729 0.57915 0.66721 0.63404

1.40 1.21516 1.06848 1.32178 0.99020 1.19469 1.13855 75.00 0.61713 0.59226 0.68176 0.57432 0.66182 0.62888

1.50 1.18631 1.04748 1.28790 0.97454 1.16854 1.11447 80.00 0.61233 0.58764 0.67663 0.56983 0.65680 0.62409

1.60 1.15931 1.02922 1.25819 0.96076 1.14582 1.09333 85.00 0.60785 0.58334 0.67183 0.56565 0.65212 0.61961

1.70 1.13567 1.01314 1.23172 0.94854 1.12588 1.07467 90.00 0.60366 0.57930 0.66734 0.56173 0.64773 0.61541

1.80 1.11496 0.99879 1.20803 0.93762 1.10823 1.05815 95.00 0.59973 0.57551 0.66310 0.55804 0.64359 0.61147

1.90 1.09685 0.98591 1.18690 0.92778 1.09249 1.04338 100.00 0.59601 0.57194 0.65911 0.55456 0 . 63%9 0.60774

2.00 1.08049 0.97428 1.16805 0.91884 1.07834 1.03010 125.00 0.58010 0.55661 0.64195 0. 53%6 0.62293 0.59175

2.20 1.05126 0.95393 1.13551 0.90312 1.05401 1.00708 150.00 0.56738 0.54437 0.62820 0.52776 0.60950 0.57894

2.40 1.02691 0.93688 1.10846 0.88971 1.03364 0.98784 175.00 0.55683 0.53422 0.61675 0.51789 0.59833 0.56829

2.60 1.00611 0.92230 1.08549 0.87804 1.01664 0.97138 200.00 0.54784 0.52556 0.60697 0.50947 0.58879 0.55920

2.80 0.98807 0.90956 1.06575 0.86775 1.00204 0.95715

3.00 0.97233 0.89829 1.04869 0.85855 0.98916 0.94479

3.20 0.95826 0.88824 1.03380 0.85025 0.97774 0.93388

3.40 0.94572 0.87921 1.02063 0.84271 0.96758 0.92409

3.60 0.93461 0.87101 1.00885 0.83580 0.95848 0.91524

3.80 0.92460 0.86351 0.99820 0.82943 0.95021 0.90721

4.00 0.91546 0.85661 0.98855 0.82352 0.94265 0.89985

4.50 0.89549 0.84151 0.96790 0.81040 0.92617 0.88390

5.00 0.87901 0.82873 0.95097 0.79913 0.91241 0.87052

5.50 0.86506 0.81768 0.93676 0.78926 0.90060 0.85906

6.00 0.85297 0.80795 0.92451 0.78049 0.89030 0.84903

6.50 0.84240 0.79928 0.91382 0.77260 0.88115 0.84014

7.00 0.83302 0.79147 0.90431 0.76543 0.87293 0.83216

7.50 0.82457 0.78436 0.89579 0.75887 0.86546 0.82491

8.00 0.81691 0.77784 0.88809 0.75282 0.85864 0.81829

8.50 0.80990 0.77182 0.88104 0.74721 0.85234 0.81218

9.00 0.80344 0.76623 0.87455 0.74198 0.84650 0.80652

9.50 0.79746 0.76102 0.86854 0.73708 0.84106 0.80124

10.00 0.79189 0.75614 0.86295 0.73248 0. 835% 0.79630

11.00 0.78183 0.74721 0.85281 0.72403 0.82663 0.78727

12.00 0.77292 0.73921 0.84382 0.71643 0.81827 0.77919

13.00 0.76491 0.73197 0.83572 0.70953 0.81070 0.77187

14.00 0.75766 0.72536 0.82837 0.70321 0.80378 0.76518

59
Collision integrals for the (16, 6, 8) potential function for ~y = 0.8 T* n(i ’ 2) * n<2 - 2) * ft«- 3)* 3>* ft'3- 3)* T* na> »* n(l* 2) * ft< 2 - 2)* n«* 3) * ft<2, 3)* n<3. 3>*

0.10 3.20167 2.86911 3.37263 2.64713 3.11569 3.05665 15.00 0.75277 0.72113 0.82319 0.69930 0.79909 0.76076

0.15 2.82244 2.52783 2.98287 2.32606 2.75802 2.68941 16.00 0.74669 0.71552 0.81701 0.69391 0.79321 0.75509

0.20 2.57664 2.29988 2.73698 2.10358 2.53359 2.44263 17.00 0.74106 0.71030 0.81127 0.68889 0.78774 0.74980

0.25 2.39467 2.12537 2.56189 1.92820 2.36959 2.25639 18.00 0.73582 0.70542 0.80591 0.68419 0.78261 0.74486

0.30 2.24731 1.98092 2.42289 1.78402 2.23510 2.10675 19.00 0.73092 0.70085 0.80090 0.67978 0.77780 0.74022

0.35 2.12480 1.85984 2.30685 1.66426 2.11737 1.98238 20.00 0.72631 0.69654 0.79618 0.67562 0.77326 0.73585

0.40 2.01889 1.75642 2.20493 1.56487 2.01230 1.87718 22.00 0.71787 0.68861 0.78750 0.66795 0.76490 0.72779

0.45 1.92672 1.66758 2.11353 1.48269 1.91850 1.78749 24.00 0.71029 0.68146 0.77968 0.66103 0.75734 0.72052

0.50 1.84530 1.59114 2.03092 1.41222 1.83243 1.70731 26.00 0.70341 0.67495 0.77256 0.65473 0.75044 0.71389

0.55 1.77347 1.52399 1.95472 1.35470 1.75797 1.63987 28.00 0.69712 0.66898 0.76603 0.64894 0.74411 0.70779

0.60 1.70931 1.46732 1.88724 1.30523 1.69016 1.57924 30.00 0.69133 0.66347 0.76000 0.64360 0.73825 0.70217

0.65 1.65191 1.41596 1.82364 1.26214 1.62897 1.52510 32.00 0.68596 0.65836 0.75440 0.63863 0.73280 0.69694

0.70 1.60021 1.37177 1.76663 1.22592 1.57566 1.47775 34.00 0.68096 0.65359 0.74918 0.63401 0.72772 0.69205

0.75 1.55413 1.33322 1.71544 1.19489 1.52791 1.43602 36.00 0.67629 0.64913 0.74429 0.62967 0.72295 0.68748

0.80 1.51174 1.29807 1.66692 1.16686 1.48420 1.39775 38.00 0.67190 0.64493 0.73968 0.62559 0.71846 0.68317

0.85 1.47313 1.26605 1.62200 1.14221 1.44528 1.36326 40.00 0.66776 0.64097 0.73534 0.62175 0.71423 0.67911

0.90 1.43923 1.23842 1.58241 1.12038 1.41026 1.33206 45.00 0.65837 0.63197 0.72545 0.61300 0.70457 0.66985

0.95 1.40695 1.21423 1.54663 1.10119 1.37872 1.30411 50.00 0.65008 0.62402 0.71669 0.60527 0.69602 0.66166

1.00 1.37684 1.19225 1.51321 1.08401 1.35006 1.27888 55.00 0.64267 0.61691 0.70884 0.59835 0.68836 0.65432

1.10 1.32635 1.15228 1.45230 1.05416 1.30023 1.23441 60.00 0.63598 0.61048 0.70174 0.59210 0.68141 0.64768

1.20 1.28216 1.11913 1.40097 1.02937 1.25881 1.19683 65.00 0.62989 0.60462 0.69525 0.58640 0.67508 0.64161

1.30 1.24347 1.09169 1.35689 1.00847 1.22367 1.16490 70.00 0.62429 0.59924 0.68929 0.58116 0.66925 0.63604

1.40 1.21149 1.06812 1.31862 0.99059 1.19354 1.13751 75.00 0.61913 0.59426 0.68378 0.57633 0.66386 0.63088

1.50 1.18392 1.04729 1.28511 0.97505 1.16760 1.11373 80.00 0.61433 0.58965 0.67865 0.57184 0.65885 0.62609

1.60 1.15776 1.02924 1.25595 0.96138 1.14511 1.09283 85.00 0.60986 0.58534 0.67386 0.56765 0.65417 0.62162

1.70 1.13440 1.01323 1.22987 0.94923 1.12534 1.07436 90.00 0.60567 0.58131 0.66937 0.56372 0.64978 0.61742

1.80 1.11355 0.99903 1.20652 0.93838 1.10787 1.05797 95.00 0.60173 0.57751 0.66514 0.56003 0.64565 0.61347

1.90 1.09549 0.98625 1.18559 0.92859 1.09226 1.04333 100.00 0.59801 0.57394 0.66115 0.55655 0.64175 0.60975

2.00 1.07940 0.97471 1.16688 0.91971 1.07824 1.03015 125.00 0.58209 0.55860 0.64400 0.54164 0.62499 0.59375

2.20 1.05081 0.95457 1.13473 0.90409 1.05409 1.00734 150.00 0.56937 0.54635 0.63025 0.52972 0.61156 0.58094

2.40 1.02670 0.93761 1.10797 0.89077 1.03386 0.98827 175.00 0.55882 0.53618 0.61881 0.51983 0.60039 0.57028

2.60 1.00605 0.92310 1.08524 0.87916 1.01695 0.97194 200.00 0.54981 0.52751 0.60903 0.51140 0.59085 0.56118

2.80 0.98820 0.91047 1.06568 0.86893 1.00244 0.95781

3.00 0.97260 0.89928 1.04874 0.85979 0.98974 0.94548

3.20 0.95876 0.88929 1.03394 0.85154 0.97839 0.93465

3.40 0.94626 0.88031 1.02088 0.84403 0.96827 0.92495

3.60 0.93523 0.87217 1.00920 0.83716 0.95922 0.91616

3.80 0.92524 0.86471 0.99866 0.83082 0.95100 0.90818

4.00 0.91620 0.85785 0.98908 0.82495 0.94350 0.90087

4.50 0.89645 0.84282 0.96856 0.81189 0.92714 0.88500

5.00 0.88004 0.83012 0.95175 0.80068 0.91347 0.87170

5.50 0.86621 0.81913 0.93763 0.79086 0.90172 0.86030

6.00 0.85418 0.80945 0.92547 0.78212 0.89148 0.85034

6.50 0.84367 0.80082 0.91485 0.77427 0.88239 0.84149

7.00 0.83435 0.79304 0.90541 0.76713 0.87422 0.83355

7.50 0.82595 0.78596 0.89694 0.76059 0.86679 0.82635

8.00 0.81833 0.77947 0.88928 0.75456 0.86001 0.81975

8.50 0.81136 0.77348 0.88228 0.74897 0.85375 0.81368

9.00 0.80494 0.76792 0.87583 0.74376 0.84794 0.80804

9.50 0.79899 0.76272 0.86985 0.73888 0.84252 0.80279

10.00 0.79345 0.75786 0.86429 0.73429 0.83745 0.79787

11.00 0.78342 0.74896 0.85421 0.72587 0.82817 0.78888

12.00 0.77455 0.74099 0.84526 0.71829 0.81986 0.78083

13.00 0.76659 0.73378 0.83721 0.71141 0.81232 0.77355

14.00 0.75937 0.72719 0.82989 0.70511 0.80543 0.76689

60
Collision integrals for the (16, 6, 8) potential function for y= 1.0 T* n«- «* ft< l . 2>* n<2 - 2) * n°- 3) * n(2 - 3) * n<3- 3)* T* na- «* ft< i . 2>* a<2- 2>* n°- 3) * n<2 - 3)* n<3’ 3)*

0.10 3.11044 2.79685 3.29055 2.58704 3.04575 2.98311 15.00 0.75440 0.72288 0.82467 0.70111 0.80068 0.76240

0.15 2.75176 2.47322 2.91817 2.28301 2.70423 2.63446 16.00 0.74835 0.71728 0.81851 0.69573 0.79483 0.75674

0.20 2.51717 2.25814 2.68386 2.07135 2.48850 2.39992 17.00 0.74274 0.71208 0.81280 0.69072 0.78938 0.75148

0.25 2.34565 2.09134 2.51509 1.90491 2.33210 2.22268 18.00 0.73751 0.70721 0.80747 0.68603 0.78427 0.74655

0.30 2.20791 1.95500 2.38347 1.76696 2.20365 2.07954 19.00 0.73263 0.70265 0.80247 0.68163 0.77948 0.74193

0.35 2.09196 1.83907 2.27229 1.65185 2.09136 1.96029 20.00 0.72804 0.69835 0.79777 0.67747 0.77496 0.73757

0.40 1.99031 1.73976 2.17481 1.55625 1.99130 1.85953 22.00 0.71962 0.69044 0.78913 0.66982 0.76662 0.72954

0.45 1.90227 1.65414 2.08728 1.47521 1.89992 1.77147 24.00 0.71206 0.68330 0.78134 0.66291 0.75909 0.72228

0.50 1.82416 1.58003 2.00785 1.40741 1.81819 1.69519 26.00 0.70520 0.67680 0.77425 0.65661 0.75221 0.71567

0.55 1.75511 1.51551 1.93542 1.35043 1.74516 1.62884 28.00 0.69892 0.67084 0.76774 0.65083 0.74589 0.70959

0.60 1.69330 1.45951 1.86927 1.30230 1.68012 1.57042 30.00 0.69314 0.66534 0.76173 0.64549 0.74005 0.70397

0.65 1.63775 1.41034 1.80910 1.25960 1.61996 1.51718 32.00 0.68778 0.66024 0.75615 0.64053 0.73462 0.69876

0.70 1.58796 1.36600 1.75233 1.22359 1.56771 1.47082 34.00 0.68279 0.65547 0.75095 0.63591 0.72955 0.69388

0.75 1.54286 1.32841 1.70297 1.19307 1.52127 1.42992 36.00 0.67812 0.65101 0.74607 0.63158 0.72479 0.68932

0.80 1.50264 1.29483 1.65700 1.16587 1.47892 1.39293 38.00 0.67374 0.64682 0.74148 0.62750 0.72032 0.68502

0.85 1.46450 1.26337 1.61303 1.14128 1.44042 1.35893 40.00 0.66961 0.64287 0.73715 0.62366 0.71609 0.68096

0.90 1.43112 1.23581 1.57394 1.11971 1.40611 1.32840 45.00 0.66023 0.63387 0.72728 0.61491 0.70645 0.67172

0.95 1.40026 1.21138 1.53850 1.10056 1.37504 1.30074 50.00 0.65195 0.62593 0.71854 0.60718 0.69792 0.66354

1.00 1.37122 1.18998 1.50619 1.08355 1.34686 1.27583 55.00 0.64455 0.61881 0.71071 0.60026 0.69026 0.65620

1.10 1.32109 1.15124 1.44714 1.05410 1.29782 1.23225 60.00 0.63787 0.61239 0.70362 0.59401 0.68333 0.64956

1.20 1.27851 1.11828 1.39654 1.02942 1.25683 1.19511 65.00 0.63178 0.60652 0.69715 0.58830 0.67700 0.64350

1.30 1.23991 1.09087 1.35309 1.00869 1.22218 1.16359 70.00 0.62619 0.60114 0.69119 0.58307 0.67118 0.63793

1.40 1.20791 1.06765 1.31547 0.99096 1.19241 1.13651 75.00 0.62102 0.59617 0.68569 0.57823 0.66580 0.63278

1.50 1.18104 1.04718 1.28254 0.97551 1.16671 1.11299 80.00 0.61623 0.59156 0.68056 0.57374 0.66079 0.62799

1.60 1.15627 1.02914 1.25362 0.96195 1.14441 1.09234 85.00 0.61176 0.58725 0.67578 0.56954 0.65611 0.62352

1.70 1.13295 1.01330 1.22802 0.94989 1.12483 1.07406 90.00 0.60757 0.58321 0.67129 0.56562 0.65172 0.61933

1.80 1.11243 0.99923 1.20503 0.93908 1.10749 1.05779 95.00 0.60363 0.57942 0.66707 0.56192 0.64760 0.61538

1.90 1.09421 0.98657 1.18435 0.92936 1.09203 1.04327 100.00 0.59991 0.57584 0.66308 0.55844 0.64370 0.61165

2.00 1.07823 0.97511 1.16578 0.92053 1.07814 1.03020 125.00 0.58399 0.56049 0.64595 0.54351 0.62695 0.59566

2.20 1.05033 0.95516 1.13397 0.90501 1.05417 1.00758 150.00 0.57126 0.54822 0.63220 0.53158 0.61352 0.58284

2.40 1.02629 0.93825 1.10742 0.89174 1.03425 0.98861 175.00 0.56070 0.53804 0.62076 0.52167 0.60234 0.57218

2.60 1.00594 0.92384 1.08496 0.88022 1.01726 0.97246 200.00 0.55169 0.52936 0.61098 0.51323 0.59279 0.56307

2.80 0.98832 0.91131 1.06560 0.87004 1.00282 0.95845

3.00 0.97282 0.90021 1.04879 0.86097 0.99023 0.94617

3.20 0.95915 0.89028 1.03409 0.85276 0.97901 0.93538

3.40 0.94684 0.88135 1.02111 0.84529 0.96895 0.92575

3.60 0.93574 0.87325 1.00952 0.83845 0.95993 0.91704

3.80 0.92585 0.86584 0.99907 0.83214 0.95176 0.90910

4.00 0.91686 0.85902 0.98957 0.82630 0.94429 0.90184

4.50 0.89734 0.84407 0.96921 0.81331 0.92806 0.88605

5.00 0.88102 0.83143 0.95250 0.80214 0.91445 0.87283

5.50 0.86727 0.82049 0.93845 0.79236 0.90279 0.86149

6.00 0.85535 0.81087 0.92638 0.78367 0.89259 0.85158

6.50 0.84488 0.80228 0.91582 0.77584 0.88356 0.84277

7.00 0.83559 0.79454 0.90645 0.76873 0.87544 0.83487

7.50 0.82726 0.78748 0.89802 0.76222 0.86805 0.82770

8.00 0.81967 0.78102 0.89040 0.75621 0.86130 0.82114

8.50 0.81274 0.77505 0.88344 0.75064 0.85507 0.81509

9.00 0.80635 0.76951 0.87703 0.74545 0.84930 0.80948

9.50 0.80043 0.76434 0.87109 0.74058 0.84391 0.80425

10.00 0.79492 0.75949 0.86556 0.73601 0.83886 0.79936

11.00 0.78494 0.75063 0.85553 0.72761 0.82963 0.79041

12.00 0.77610 0.74268 0.84662 0.72006 0.82136 0.78239

13.00 0.76817 0.73549 0.83862 0.71319 0.81385 0.77513

14.00 0.76097 0.72892 0.83134 0.70690 0.80700 0.76850

61

498-740 0 - 74 -5
Collision integrals for the {17, 6, 8) potential function for y =0.

T* n«- n* nu- 2>* n<2 - 2)* n«- 3) * n<2 * 3) * n(3 - 3) * T* nu- «* n°- 2) * n<2> 2)* na- 3) * n<2> 3)* H(3 - 3)*

0.10 3.49989 3.10674 3.64027 2.84247 3.34206 3.29595 15.00 0.75545 0.72429 0.82444 0.70289 0.80063 0.76324

0.15 3.04947 2.70299 3.19052 2.46463 2.93322 2.86549 16.00 0.74947 0.71879 0.81833 0.69763 0.79485 0.75767

0.20 2.75945 2.43405 2.90960 2.20253 2.67606 2 . 577:6 17.00 0.74393 0.71368 0.81267 0.69272 0.78947 0.75248

0.25 2.54372 2.22729 2.70616 1.99878 2.48717 2.36133 18.00 0.73878 0.70891 0.80739 0.68814 0.78444 0.74763

0.30 2.37266 2.06110 2.54785 1.83444 2.33139 2.18996 19.00 0.73396 0.70443 0.80245 0.68383 0.77971 0.74309

0.35 2.22954 1.92288 2.41431 1.70182 2.19671 2.05062 20.00 0.72944 0.70022 0.79780 0.67977 0.77526 0.73880

0.40 2.10800 1.80618 2.29699 1.59352 2.07779 1.93366 22.00 0.72116 0.69248 0.78927 0.67230 0.76706 0.73092

0.45 2.00208 1.70807 2.19340 1.50219 1.96969 1.83117 24.00 0.71373 0.68550 0.78158 0.66556 0.75965 0.72380

0.50 1.91034 1.62261 2.09825 1.42886 1.87653 1.74612 26.00 0.70700 0.67915 0.77460 0.65942 0.75290 0.71731

0.55 1.82939 1.55136 2.01443 1.36707 1.79294 1.67107 28.00 0.70084 0.67333 0.76819 0.65379 0.74670 0.71136

0.60 1.75789 1.48822 1.93698 1.31489 1.71894 1.60573 30.00 0.69518 0.66796 0.76229 0.64859 0.74098 0.70587

0.65 1.69466 1.43485 1.86825 1.27096 1.65455 1.54830 32.00 0.68993 0.66298 0.75680 0.64377 0.73566 0.70076

0.70 1.63855 1.38802 1.80644 1.23351 1.59679 1.49812 34.00 0.68505 0.65833 0.75169 0.63927 0.73069 0.69600

0.75 1.58653 1.34570 1.74787 1.20052 1.54507 1.45282 36.00 0.68049 0.65399 0.74691 0.63506 0.72604 0.69154

0.80 1.54262 1.30918 1.69620 1.17164 1.49919 1.41213 38.00 0.67621 0.64991 0.74240 0.63109 0.72166 0.68734

0.85 1.49990 1.27685 1.64983 1.14664 1.45846 1.37596 40.00 0.67218 0.64606 0.73816 0.62736 0.71753 0.68338

0.90 1.46173 1.24872 1.60751 1.12469 1.42173 1.34381 45.00 0.66302 0.63731 0.72850 0.61887 0.70812 0.67437

0.95 1.42877 1.22262 1.56773 1.10505 1.38861 1.31469 50.00 0.65495 0.62958 0.71996 0.61136 0.69980 0.66640

1.00 1.39717 1.19887 1.53138 1.08732 1.35872 1.28805 55.00 0.64774 0.62267 0.71231 0.60465 0.69234 0.65926

1.10 1.34192 1.15771 1.46767 1.05695 1.30729 1.24168 60.00 0.64123 0.61643 0.70539 0.59859 0.68559 0.65280

1.20 1.29542 1.12442 1.41376 1.03188 1.26440 1.20290 65.00 0.63531 0.61074 0.69907 0.59306 0.67943 0.64691

1.30 1.25664 1.09609 1.36742 1.01076 1.22811 1.17013 70.00 0.62987 0.60552 0.69327 0.58799 0.67377 0.64149

1.40 1.22288 1.07174 1.32772 0.99268 1.19733 1.14196 75.00 0.62485 0.60070 0.68791 0.58330 0.66854 0.63649

1.50 1.19203 1.05055 1.29303 0.97697 1.17089 1.11749 80.00 0.62019 0.59622 0.68292 0.57895 0.66367 0.63183

1.60 1.16451 1.03220 1.26249 0.96320 1.14797 1.09613 85.00 0.61585 0.59205 0.67826 0.57489 0.65913 0.62749

1.70 1.14093 1.01599 1.23535 0.95099 1.12781 1.07734 90.00 0.61178 0.58814 0.67390 0.57109 0.65487 0.62342

1.80 1.12039 1.00156 1.21134 0.94010 1.11001 1.06069 95.00 0.60796 0.58446 0.66979 0.56751 0.65086 0.61959

1.90 1.10184 0.98861 1.19005 0.93027 1.09413 1.04583 100.00 0.60435 0.58099 0.66592 0.56414 0.64708 0.61598

2.00 1.08478 0.97687 1.17091 0.92134 1.07989 1.03244 125.00 0.58891 0.56613 0.64928 0.54969 0.63084 0.60046

2.20 1.05529 0.95658 1.13803 0.90566 1.05549 1.00929 150.00 0.57658 0.55426 0.63594 0.53815 0.61782 0.58804

2.40 1.03057 0.93953 1.11058 0.89232 1.03513 0.98995 175.00 0.56635 0.54441 0.62485 0.52857 0.60700 0.57772

2.60 1.00952 0.92493 1.08733 0.88071 1.01814 0.97345 200.00 0.55762 0.53601 0.61538 0.52040 0.59776 0.56890

2.80 0.99135 0.91218 1.06750 0.87048 1.00339 0.95930

3.00 0.97533 0.90095 1.05041 0.86134 0.99045 0.94698

3.20 0.96131 0.89096 1.03546 0.85312 0.97910 0.93605

3.40 0.94879 0.88196 1.02221 0.84565 0.96900 0.92627

3.60 0.93770 0.87380 1.01036 0.83881 0.95991 0.91745

3.80 0.92762 0.86636 0.99970 0.83251 0.95166 0.90946

4.00 0.91837 0.85951 0.99004 0.82667 0.94411 0.90216

4.50 0.89841 0.84454 0.96939 0.81371 0.92773 0.88629

5.00 0.88201 0.83188 0.95252 0.80260 0.91404 0.87303

5.50 0.86808 0.82095 0.93834 0.79288 0.90234 0.86166

6.00 0.85608 0.81135 0.92617 0.78425 0.89213 0.85175

6.50 0.84561 0.80280 0.91551 0.77650 0.88307 0.84297

7.00 0.83629 0.79510 0.90609 0.76946 0.87494 0.83509

7.50 0.82792 0.78810 0.89766 0.76302 0.86757 0.82794

8.00 0.82033 0.78168 0.89001 0.75708 0.86083 0.82141

8.50 0.81339 0.77577 0.88302 0.75158 0.85462 0.81540

9.00 0.80700 0.77028 0.87660 0.74646 0.84887 0.80983

9.50 0.80110 0.76516 0.87066 0.74167 0.84350 0.80464

10.00 0.79562 0.76037 0.86514 0.73716 0.83848 0.79978

11.00 0.78571 0.75162 0.85514 0.72890 0.82931 0.79091

12.00 0.77694 0.74378 0.84626 0.72148 0.82110 0.78298

13.00 0.76907 0.73670 0.83829 0.71474 0.81367 0.77581

14.00 0.76195 0.73023 0.83106 0.70857 0.80688 0.76926

62
Collision integrals for the. (17, 6, 8) potential function for v = 0.2 T* ft(1 - »* ft”- 2>* 2) * ft”- 3>* ft<2. 3)* ft(3. 3)* T* ft”. »* ft”- ft<2- 2)* ft”- 3)* ft<2- 3>* ft<3. 3)*

0.10 3.40407 3.02751 3.55335 2.77654 3.26808 3.21701 15.00 0.75745 0.72642 0.82624 0.70509 0.80258 0.76523

0.15 2.97432 2.64033 3.11815 2.41398 2.87124 2.80288 16.00 0.75149 0.72094 0.82017 0.69984 0.79682 0.75968

0.20 2.69634 2.38513 2.84848 2.16569 2.62457 2.52868 17.00 0.74597 0.71584 0.81454 0.69495 0.79147 0.75452

0.25 2.49152 2.19031 2.65534 1.97074 2.44230 2.32123 18.00 0.74084 0.71109 0.80929 0.69037 0.78646 0.74969

0.30 2.32770 2.03160 2.50282 1.81481 2.29495 2.15872 19.00 0.73604 0.70662 0.80438 0.68607 0.78175 0.74516

0.35 2.19302 1.89933 2.37485 1.68708 2.16650 2.02445 20.00 0.73154 0.70242 0.79975 0.68202 0.77732 0.74089

0.40 2.07571 1.78702 2.26225 1.58118 2.05120 1.91051 22.00 0.72329 0.69469 0.79126 0.67457 0.76915 0.73303

0.45 1.97463 1.69250 2.16306 1.49476 1.94997 1.81448 24.00 0.71588 0.68773 0.78361 0.66783 0.76177 0.72594

0.50 1.88656 1.61081 2.07277 1.42257 1.86110 1.73109 26.00 0.70917 0.68139 0.77665 0.66170 0.75505 0.71947

0.55 1.80879 1.54168 1.99222 1.36285 1.77947 1.65925 28.00 0.70303 0.67558 0.77028 0.65608 0.74887 0.71354

0.60 1.73953 1.48044 1.91797 1.31091 1.70660 1.59483 30.00 0.69738 0.67022 0.76439 0.65089 0.74317 0.70806

0.65 1.67858 1.42754 1.85049 1.26760 1.64377 1.53897 32.00 0.69214 0.66525 0.75893 0.64607 0.73786 0.70297

0.70 1.62379 1.38212 1.79096 1.23120 1.58826 1.49028 34.00 0.68727 0.66061 0.75384 0.64157 0.73291 0.69822

0.75 1.57468 1.34143 1.73525 1.19877 1.53767 1.44618 36.00 0.68272 0.65627 0.74907 0.63736 0.72827 0.69376

0.80 1.53012 1.30465 1.68370 1.17043 1.49286 1.40662 38.00 0.67845 0.65219 0.74458 0.63340 0.72391 0.68958

0.85 1.49066 1.27279 1.63821 1.14543 1.45273 1.37089 40.00 0.67442 0.64835 0.74035 0.62967 0.71979 0.68562

0.90 1.45362 1.24526 1.59754 1.12371 1.41683 1.33918 45.00 0.66528 0.63960 0.73072 0.62117 0.71040 0.67663

0.95 1.41966 1.22027 1.55951 1.10438 1.38437 1.31071 50.00 0.65722 0.63188 0.72220 0.61367 0.70210 0.66866

1.00 1.39020 1.19683 1.52374 1.08694 1.35500 1.28471 55.00 0.65002 0.62497 0.71457 0.60696 0.69465 0.66153

1.10 1.33699 1.15621 1.46120 1.05684 1.30432 1.23909 60.00 0.64352 0.61873 0.70766 0.60089 0.68791 0.65508

1.20 1.29018 1.12311 1.40847 1.03196 1.26210 1.20085 65.00 0.63759 0.61304 0.70136 0.59536 0.68176 0.64919

1.30 1.25182 1.09536 1.36311 1.01105 1.22636 1.16851 70.00 0.63216 0.60782 0.69557 0.59029 0.67611 0.64378

1.40 1.21966 1.07119 1.32382 0.99313 1.19588 1.14077 75.00 0.62714 0.60300 0.69021 0.58560 0.67088 0.63878

1.50 1.18963 1.05042 1.28995 0.97757 1.16977 1.11664 80.00 0.62249 0.59852 0.68524 0.58124 0.66602 0.63413

1.60 1.16288 1.03215 1.25993 0.96388 1.14706 1.09551 85.00 0.61814 0.59434 0.68059 0.57718 0.66148 0.62979

1.70 1.13898 1.01612 1.23325 0.95179 1.12718 1.07693 90.00 0.61408 0.59043 0.67623 0.57337 0.65722 0.62572

1.80 1.11856 1.00182 1.20951 0.94096 1.10956 1.06044 95.00 0.61025 0.58675 0.67213 0.56979 0.65321 0.62189

1.90 1.10045 0.98902 1.18843 0.93121 1.09384 1.04574 100.00 0.60665 0.58328 0.66825 0.56642 0.64943 0.61827

2.00 1.08386 0.97743 1.16958 0.92235 1.07975 1.03249 125.00 0.59120 0.56840 0.65162 0.55195 0.63319 0.60276

2.20 1.05473 0.95724 1.13705 0.90679 1.05554 1.00958 150.00 0.57886 0.55652 0.63829 0.54038 0.62018 0.59033

2.40 1.03026 0.94034 1.10999 0.89354 1.03533 0.99044 175.00 0.56861 0.54665 0.62720 0.53079 0.60935 0.57999

2.60 1.00947 0.92588 1.08703 0.88202 1.01846 0.97409 200.00 0.55988 0.53824 0.61773 0.52260 0.60010 0.57117

2.80 0.99151 0.91324 1.06737 0.87186 1.00394 0.96000

3.00 0.97578 0.90209 1.05041 0.86279 0.99112 0.94777

3.20 0.96173 0.89217 1.03561 0.85462 0.97980 0.93696

3.40 0.94943 0.88325 1.02251 0.84719 0.96979 0.92726

3.60 0.93835 0.87515 1.01078 0.84040 0.96076 0.91852

3.80 0.92842 0.86774 1.00021 0.83413 0.95259 0.91057

4.00 0.91930 0.86095 0.99064 0.82833 0.94511 0.90332

4.50 0.89949 0.84607 0.97016 0.81545 0.92884 0.88757

5.00 0.88322 0.83350 0.95342 0.80439 0.91526 0.87441

5.50 0.86940 0.82263 0.93936 0.79473 0.90364 0.86312

6.00 0.85749 0.81309 0.92728 0.78614 0.89351 0.85326

6.50 0.84708 0.80458 0.91672 0.77842 0.88451 0.84453

7.00 0.83784 0.79692 0.90735 0.77142 0.87643 0.83670

7.50 0.82952 0.78996 0.89897 0.76501 0.86911 0.82960

8.00 0.82198 0.78358 0.89139 0.75910 0.86242 0.82311

8.50 0.81509 0.77769 0.88446 0.75362 0.85625 0.81713

9.00 0.80875 0.77223 0.87808 0.74852 0.85053 0.81159

9.50 0.80287 0.76713 0.87217 0.74374 0.84520 0.80643

10.00 0.79742 0.76236 0.86669 0.73925 0.84021 0.80160

11.00 0.78756 0.75365 0.85675 0.73102 0.83110 0.79278

12.00 0.77883 0.74584 0.84794 0.72362 0.82293 0.78489

13.00 0.77101 0.73878 0.84002 0.71690 0.81554 0.77775

14.00 0.76392 0.73234 0.83283 0.71075 0.80879 0.77123

63
Collision integrals for the (17, 6, 8) potential function for y —0.4

T* n(l * »* n<2 - 2)* n<2 - 3) * ft<3- 3>* T* «* n(i - 2) * n<2- 2) * ft«- 3>* n<2 - 3>* n<3- 3)*

0.10 3.30852 2.95080 3.46811 2.71085 3.19329 3.13781 15.00 0.75931 0.72841 0.82794 0.70715 0.80440 0.76710

0.15 2.90006 2.58203 3.05038 2.36649 2.81273 2.74356 16.00 0.75338 0.72295 0.82190 0.70191 0.79867 0.76158

0.20 2.63568 2.33918 2.79072 2.13147 2.57625 2.48293 17.00 0.74789 0.71787 0.81630 0.69703 0.79334 0.75643

0.25 2.44070 2.15365 2.60456 1.94663 2.40240 2.28588 18.00 0.74277 0.71313 0.81108 0.69247 0.78835 0.75162

0.30 2.28509 2.00303 2.45918 1.79657 2.26061 2.12918 19.00 0.73799 0.70867 0.80618 0.68818 0.78367 0.74711

0.35 2.15561 1.87647 2.33658 1.67324 2.13738 1.99994 20.00 0.73350 0.70448 0.80158 0.68414 0.77925 0.74286

0.40 2.04443 1.76920 2.22948 1.57073 2.02703 1.89012 22.00 0.72528 0.69677 0.79313 0.67669 0.77112 0.73502

0.45 1.94791 1.67747 2.13368 1.48728 1.93030 1.79820 24.00 0.71790 0.68982 0.78551 0.66997 0.76377 0.72795

0.50 1.86315 1.59974 2.04844 1.41608 1.84164 1.71626 26.00 0.71120 0.68350 0.77859 0.66385 0.75707 0.72150

0.55 1.78871 1.53057 1.96874 1.35810 1.76550 1.64725 28.00 0.70508 0.67770 0.77224 0.65823 0.75091 0.71558

0.60 1.72241 1.47264 1.89903 1.30753 1.69516 1.58476 30.00 0.69944 0.67235 0.76637 0.65304 0.74523 0.71012

0.65 1.66322 1.42026 1.83298 1.26459 1.63346 1.53014 32.00 0.69422 0.66738 0.76093 0.64822 0.73994 0.70504

0.70 1.61036 1.37602 1.77529 1.22859 1.57953 1.48236 34.00 0.68936 0.66275 0.75586 0.64373 0.73500 0.70030

0.75 1.56348 1.33701 1.72264 1.19719 1.53071 1.43983 36.00 0.68481 0.65841 0.75110 0.63952 0.73037 0.69585

0.80 1.51928 1.30088 1.67229 1.16898 1.48646 1.40092 38.00 0.68055 0.65434 0.74663 0.63557 0.72602 0.69167

0.85 1.48101 1.26941 1.62765 1.14438 1.44725 1.36613 40.00 0.67653 0.65050 0.74241 0.63183 0.72191 0.68773

0.90 1.44552 1.24165 1.58742 1.12275 1.41203 1.33479 45.00 0.66740 0.64176 0.73281 0.62334 0.71254 0.67875

0.95 1.41240 1.21747 1.55095 1.10365 1.38022 1.30676 50.00 0.65935 0.63404 0.72431 0.61584 0.70425 0.67079

1.00 1.38245 1.19500 1.51660 1.08649 1.35140 1.28136 55.00 0.65216 0.62714 0.71669 0.60913 0.69682 0.66367

1.10 1.33141 1.15493 1.45520 1.05666 1.30138 1.23653 60.00 0.64566 0.62090 0.70980 0.60306 0.69009 0.65723

1.20 1.28585 1.12184 1.40329 1.03202 1.25986 1.19889 65.00 0.63974 0.61521 0.70351 0.59752 0.68395 0.65134

1.30 1.24750 1.09450 1.35884 1.01130 1.22465 1.16696 70.00 0.63431 0.60999 0.69773 0.59244 0.67830 0.64593

1.40 1.21582 1.07081 1.32031 0.99353 1.19453 1.13958 75.00 0.62930 0.60516 0.69238 0.58775 0.67307 0.64093

1.50 1.18743 1.05008 1.28676 0.97810 1.16868 1.11579 80.00 0.62464 0.60068 0.68741 0.58339 0.66822 0.63629

1.60 1.16078 1.03206 1.25737 0.96454 1.14623 1.09492 85.00 0.62030 0.59650 0.68277 0.57933 0.66368 0.63195

1.70 1.13739 1.01620 1.23120 0.95250 1.12653 1.07651 90.00 0.61623 0.59259 0.67841 0.57551 0.65943 0.62788

1.80 1.11684 1.00206 1.20778 0.94176 1.10910 1.06020 95.00 0.61241 0.58890 0.67432 0.57193 0.65542 0.62405

1.90 1.09892 0.98936 1.18689 0.93208 1.09357 1.04563 100.00 0.60880 0.58543 0.67045 0.56855 0.65164 0.62043

2.00 1.08277 0.97790 1.16825 0.92329 1.07960 1.03252 125.00 0.59335 0.57054 0.65383 0.55406 0.63541 0.60491

2.20 1.05396 0.95787 1.13610 0.90785 1.05560 1.00983 150.00 0.58100 0.55864 0.64050 0.54248 0.62239 0.59248

2.40 1.02991 0.94109 1.10939 0.89468 1.03553 0.99089 175.00 0.57074 0.54876 0.62941 0.53287 0.61156 0.58214

2.60 1.00940 0.92675 1.08672 0.88323 1.01876 0.97468 200.00 0.56200 0.54033 0.61993 0.52467 0.60231 0.57330

2.80 0.99161 0.91423 1.06725 0.87315 1.00438 0.96068

3.00 0.97609 0.90316 1,05042 0.86414 0.99173 0.94851

3.20 0.96226 0.89329 1.03573 0.85601 0.98049 0.93779

3 . 40

' 0.94990 0.88443 1.02276 0.84863 0.97051 0.92819

3.60 0.93896 0.87640 1.01115 0 . 84188 . 0.96157 0.91950

3.80 0.92911 0.86904 1.00068 0.83565 0.95344 0.91162

4.00 0.92013 0.86229 0.99119 0.82988 0.94603 0.90441

4.50 0.90051 0.84750 0.97088 0.81707 0.92988 0.88877

5.00 0.88433 0.83500 0.95425 0.80607 0.91641 0.87568

5.50 0.87066 0.82421 0.94031 0.79645 0.90485 0.86447

6.00 0.85881 0.81471 0.92831 0.78791 0.89479 0.85468

6.50 0.84845 0.80625 0.91784 0.78023 0.88586 0.84600

7.00 0.83928 0.79863 0.90854 0.77325 0.87783 0.83821

7.50 0.83102 0.79170 0.90020 0.76687 0.87056 0.83116

8.00 0.82353 0.78535 0.89268 0.76098 0.86391 0.82470

8.50 0.81668 0.77949 0.88580 0.75553 0.85778 0.81875

9.00 0.81037 0.77405 0.87946 0.75045 0.85209 0.81324

9.50 0.80453 0.76898 0.87360 0.74569 0.84680 0.80811

10.00 0.79910 0.76423 0.86814 0.74122 0.84183 0.80330

11.00 0.78929 0.75555 0.85827 0.73301 0.83277 0.79453

12.00 0.78061 0.74777 0.84951 0.72564 0.82465 0.78667

13.00 0.77281 0.74074 0.84163 0.71894 0.81730 0.77956

14.00 0.76576 0.73432 0.83448 0.71280 0.81058 0.77307

64
Collision integrals for the (17, 6, 8) potential function for y = 0.6

T* nu - n* n(2> 2) * na- 3)* ft<2. 3)* ft< 3 ’ 3>* T* n(i - »* Q(l. 2>* n<2 - 2)* n(i - 3) * n< 2 ’ 3) * Q( 3, 3>*

0.10 3.21330 2.87413 3.38225 2.64841 3.12146 3.06178 15.00 0.76107 0.73029 0.82952 0.70909 0.80610 0.76885

0.15 2.82685 2.52429 2.98324 2.32055 2.75581 2.68586 16.00 0.75516 0.72484 0.82351 0.70386 0.80040 0.76335

0.20 2.58012 2.29473 2.73460 2.09962 2.53099 2.44073 17.00 0.74969 0.71978 0.81794 0.69899 0.79509 0.75822

0.25 2.39282 2.12100 2.55844 1.92339 2.36391 2.25191 18.00 0.74459 0.71505 0.81274 0.69444 0.79013 0.75343

0.30 2.24332 1.97582 2.41756 1.77971 2.22810 2.10163 19.00 0.73983 0.71060 0.80787 0.69016 0.78546 0.74893

0.35 2.11932 1.85590 2.30108 1.66056 2.10999 1.97707 20.00 0.73535 0.70642 0.80329 0.68612 0.78107 0.74469

0.40 2.01495 1.75252 2.19823 1.56048 2.00318 1.87040 22.00 0.72715 0.69873 0.79488 0.67869 0.77296 0.73688

0.45 1.92308 1.66602 2.10866 1.47993 1.91052 1.78190 24.00 0.71979 0.69179 0.78729 0.67198 0.76564 0.72983

0.50 1.84193 1.58823 2.02394 1.41095 1.82606 1.70295 26.00 0.71311 0.68548 0.78039 0.66586 0.75896 0.72340

0.55 1.77026 1.52112 1.94781 1.35306 1.75121 1.63510 28.00 0.70700 0.67969 0.77407 0.66025 0.75282 0.71750

0.60 1.70652 1.46489 1.87991 1.30412 1.68395 1.57483 30.00 0.70138 0.67435 0.76823 0.65507 0.74715 0.71204

0.65 1.64882 1.41388 1.81713 1.26332 1.62512 1.52331 32.00 0.69617 0.66939 0.76280 0.65025 0.74188 0.70698

0.70 1.59769 1.37141 1.76173 1.22602 1.57111 1.47472 34.00 0.69132 0.66476 0.75774 0.64576 0.73696 0.70225

0.75 1.55175 1.33166 1.70929 1.19518 1.52338 1.43315 36.00 0.68678 0.66043 0.75301 0.64156 0.73234 0.69781

0.80 1.50869 1.29711 1.66116 1.16776 1.48038 1.39562 38.00 0.68252 0.65636 0.74855 0.63760 0.72800 0.69364

0.85 1.47251 1.26718 1.61832 1.14406 1.44272 1.36218 40.00 0.67851 0.65252 0.74434 0.63387 0.72390 0.68970

0.90 1.43740 1.23869 1.57816 1.12189 1.40748 1.33064 45.00 0.66940 0.64379 0.73476 0.62539 0.71455 0.68073

0.95 1.40476 1.21444 1.54255 1.10296 1.37622 1.30298 50.00 0.66136 0.63608 0.72628 0.61788 0.70628 0.67280

1.00 1.37646 1.19253 1.50886 1.08596 1.34775 1.27807 55.00 0.65417 0.62917 0.71869 0.61117 0.69886 0.66568

1.10 1.32533 1.15396 1.44962 1.05652 1.29863 1.23407 60.00 0.64768 0.62294 0.71181 0.60510 0.69214 0.65924

1.20 1.28160 1.12075 1.39844 1.03225 1.25787 1.19713 65.00 0.64177 0.61725 0.70553 0.59956 0.68600 0.65336

1.30 1.24565 1.09364 1.35461 1.01150 1.22300 1.16548 70.00 0.63634 0.61202 0.69976 0.59448 0.68036 0.64796

1.40 1.21198 1.07023 1.31671 0.99389 1.19319 1.13846 75.00 0.63133 0.60720 0.69442 0.58978 0.67514 0.64296

1.50 1.18432 1.04992 1.28390 0.97858 1.16763 1.11494 80.00 0.62667 0.60272 0.68946 0.58542 0.67029 0.63832

1.60 1.15894 1.03228 1.25521 0.96512 1.14543 1.09431 85.00 0.62233 0.59854 0.68482 0.58135 0.66576 0.63398

1.70 1.13711 1.01622 1.22918 0.95319 1.12593 1.07612 90.00 0.61826 0.59462 0.68047 0.57754 0.66151 0.62991

1.80 1.11542 1.00225 1.20606 0.94256 1.10870 1.06001 95.00 0.61444 0.59093 0.67638 0.57395 0.65750 0.62608

1.90 1.09760 0.98968 1.18541 0.93289 1.09326 1.04552 100.00 0.61083 0.58746 0.67251 0.57057 0.65373 0.62247

2.00 1.08156 0.97831 1.16698 0.92416 1.07945 1.03255 125.00 0.59537 0.57256 0.65591 0.55606 0.63750 0.60695

2.20 1.05333 0.95847 1.13524 0.90883 1.05564 1.01006 150.00 0.58302 0.56064 0.64259 0.54446 0.62448 0.59451

2.40 1.03004 0.94192 1.10891 0.89573 1.03589 0.99122 175.00 0.57275 0.55075 0.63150 0.53483 0.61364 0.58416

2.60 1.00925 0.92753 1.08639 0.88437 1.01911 0.97519 200.00 0.56400 0.54231 0.62202 0.52662 0.60438 0.57532

2.80 0.99172 0.91513 1.06711 0.87434 1.00475 0.96135

3.00 0.97633 0.90415 1.05043 0.86539 0.99221 0.94926

3.20 0.96264 0.89436 1.03587 0.85732 0.98113 0.93857

3.40 0.95048 0.88555 1.02299 0.84998 0.97124 0.92902

3.60 0.93984 0.87756 1.01147 0.84326 0.96234 0.92041

3.80 0.92972 0.87025 1.00109 0.83707 0.95426 0.91259

4.00 0.92084 0.86355 0.99171 0.83133 0.94688 0.90544

4.50 0.90147 0.84884 0.97156 0.81859 0.93086 0.88989

5.00 0.88538 0.83642 0.95505 0.80765 0.91747 0.87689

5.50 0.87179 0.82568 0.94118 0.79808 0.90600 0.86574

6.00 0.86007 0.81624 0.92928 0.78957 0.89599 0.85601

6.50 0.84974 0.80782 0.91888 0.78192 0.88711 0.84738

7.00 0.84062 0.80024 0.90965 0.77498 0.87915 0.83964

7.50 0.83242 0.79334 0.90138 0.76862 0.87192 0.83261

8.00 0.82497 0.78702 0.89389 0.76276 0.86530 0.82619

8.50 0.81816 0.78118 0.88704 0.75732 0.85921 0.82027

9.00 0.81189 0.77577 0.88075 0.75226 0.85355 0.81479

9.50 0.80609 0.77071 0.87493 0.74752 0.84829 0.80968

10.00 0.80069 0.76598 0.86951 0.74306 0.84335 0.80490

11.00 0.79092 0.75733 0.85969 0.73488 0.83434 0.79616

12.00 0.78227 0.74959 0.85098 0.72753 0.82626 0.78834

13.00 0.77451 0.74258 0.84314 0.72085 0.81894 0.78126

14.00 0.76750 0.73618 0.83603 0.71473 0.81226 0.77480

65
Collision integrals for the (17, 6, 8) potential function for y = 0.8 T* ftw- »)* H(2 - 2) * n(i - 3)* n<2 - 3) * n<3 - 3) * T* n(l * *>* n( *> 2>* n<2- 2>* ft". 3>* ft< 2- 3>* ft<3. 3)*

0.10 3.11813 2.79726 3.29541 2.58296 3.04586 2.98210 15.00 0.76272 0.73207 0.83102 0.71093 0.80772 0.77052

0.15 2.75173 2.46791 2.91647 2.27579 2.69967 2.62893 16.00 0.75684 0.72664 0.82505 0.70571 0.80205 0.76503

0.20 2.51404 2.25142 2.67922 2.06277 2.48038 2.39176 17.00 0.75139 0.72158 0.81950 0.70085 0.79676 0.75993

0.25 2.34066 2.08361 2.50783 1.89721 2.32269 2.21429 18.00 0.74631 0.71686 0.81433 0.69630 0.79182 0.75515

0.30 2.20148 1.94765 2.37495 1.76043 2.19371 2.07133 19.00 0.74156 0.71243 0.80948 0.69203 0.78717 0.75067

0.35 2.08479 1.83237 2.26310 1.64649 2.08148 1.95252 20.00 0.73710 0.70826 0.80492 0.68800 0.78279 0.74644

0.40 1.98371 1.73386 2.16542 1.55228 1.98216 1.85262 22.00 0.72893 0.70058 0.79654 0.68058 0.77471 0.73866

0.45 1.89605 1.64911 2.07807 1.47223 1.89141 1.76521 24.00 0.72158 0.69366 0.78899 0.67388 0.76742 0.73162

0.50 1.81827 1.57580 1.99897 1.40480 1.81005 1.68913 26.00 0.71492 0.68736 0.78211 0.66777 0.76076 0.72521

0.55 1.74977 1.51164 1.92659 1.34914 1.74020 1.62400 28.00 0.70883 0.68158 0.77581 0.66217 0.75464 0.71932

0.60 1.68844 1.45686 1.86145 1.30100 1.67339 1.56556 30.00 0.70322 0.67624 0.76999 0.65699 0.74899 0.71388

0.65 1.63349 1.40770 1.80129 1.25926 1.61426 1.51330 32.00 0.69802 0.67129 0.76458 0.65218 0.74373 0.70882

0.70 1.58404 1.36442 1.74552 1.22356 1.56242 1.46730 34.00 0.69318 0.66667 0:75954 0.64769 0.73882 0.70410

0.75 1.53945 1.32697 1.69624 1.19331 1.51651 1.42676 36.00 0.68865 0.66234 0.75482 0.64349 0.73421 0.69968

0.80 1.49980 1.29369 1.65077 1.16656 1.47474 1.39029 38.00 0.68440 0.65828 0.75037 0.63954 0.72988 0.69551

0.85 1.46170 1.26296 1.60758 1.14245 1.43684 1.35688 40.00 0.68039 0.65444 0.74618 0.63581 0.72579 0.69158

0.90 1.42909 1.23600 1.56908 1.12120 1.40298 1.32676 45.00 0.67129 0.64572 0.73662 0.62732 0.71646 0.68262

0.95 1.39806 1.21145 1.53366 1.10218 1.37221 1.29933 50.00 0.66326 0.63801 0.72816 0.61982 0.70820 0.67470

1.00 1.36946 1.19027 1.50171 1.08541 1.34440 1.27472 55.00 0.65608 0.63110 0.72058 0.61310 0.70079 0.66759

1.10 1.32038 1.15225 1.44352 1.05640 1.29598 1.23172 60.00 0.64959 0.62487 0.71372 0.60703 0.69408 0.66115

1.20 1.27775 1.11988 1.39365 1.03213 1.25556 1.19514 65.00 0.64368 0.61918 0.70745 0.60149 0.68795 0.65528

1.30 1.24010 1.09266 1.35061 1.01167 1.22134 1.16400 70.00 0.63826 0.61396 0.70169 0.59641 0.68232 0.64988

1.40 1.20823 1.06976 1.31344 0.99421 1.19199 1.13729 75.00 0.63325 0.60913 0.69636 0.59171 0.67710 0.64489

1.50 1.18152 1.04961 1.28093 0.97902 1.16662 1.11410 80.00 0.62859 0.60465 0.69140 0.58734 0.67225 0.64024

1.60 1.15720 1.03192 1.25245 0.96567 1.14462 1.09375 85.00 0.62425 0.60046 0.68677 0.58327 0.66772 0.63590

1.70 1.13446 1.01626 1.22714 0.95381 1.12531 1.07573 90.00 0.62019 0.59654 0.68242 0.57945 0.66348 0.63184

1.80 1.11428 1.00239 1.20447 0.94320 1.10822 1.05971 95.00 0.61636 0.59286 0.67833 0.57586 0.65948 0.62801

1.90 1.09606 0.98995 1.18408 0.93365 1.09299 1.04541 100.00 0.61276 0.58938 0.67447 0.57248 0.65570 0.62440

2.00 1.08028 0.97867 1.16575 0.92497 1.07929 1.03253 125.00 0.59729 0.57446 0.65788 0.55795 0.63947 0.60887

2.20 1.05277 0.95904 1.13435 0.90974 1.05568 1.01026 150.00 0.58493 0.56254 0.64456 0.54634 0.62645 0.59643

2.40 1.02924 0.94245 1.10820 0.89672 1.03606 0.99160 175.00 0.57466 0.55263 0.63347 0.53670 0.61561 0.58607

2.60 1.00907 0.92827 1.08605 0.88543 1.01934 0.97572 200.00 0.56590 0.54418 0.62399 0.52847 0.60635 0.57722

2.80 0.99175 0.91597 1.06699 0.87546 1.00514 0.96195

3.00 0.97651 0.90508 1.05043 0.86658 0.99276 0.94989

3.20 0.96305 0.89534 1.03595 0.85856 0.98175 0.93928

3.40 0.95095 0.88658 1.02318 0.85125 0.97188 0.92983

3.60 0.94009 0.87865 1.01178 0.84456 0.96301 0.92130

3.80 0.93037 0.87140 1.00151 0.83840 0.95501 0.91351

4.00 0.92149 0.86472 0.99218 0.83269 0.94768 0.90640

4.50 0.90235 0.85009 0.97218 0.82002 0.93179 0.89094

5.00 0.88635 0.83774 0.95579 0.80913 0.91847 0.87802

5.50 0.87287 0.82706 0.94201 0.79961 0.90707 0.86694

6.00 0.86120 0.81767 0.93020 0.79114 0.89712 0.85726

6.50 0.85098 0.80930 0.91986 0.78353 0.88831 0.84868

7.00 0.84188 0.80175 0.91070 0.77661 0.88039 0.84097

7.50 0.83373 0.79488 0.90247 0.77027 0.87319 0.83399

8.00 0.82633 0.78858 0.89502 0.76443 0.86662 0.82760

8.50 0.81956 0.78278 0.88823 0.75902 0.86056 0.82171

9.00 0.81333 0.77739 0.88198 0.75397 0.85494 0.81626

9.50 0.80756 0.77235 0.87619 0.74925 0.84970 0.81117

10.00 0.80218 0.76764 0.87080 0.74481 0.84479 0.80641

11.00 0.79245 0.75902 0.86103 0.73665 0.83582 0.79772

12.00 0.78384 0.75130 0.85237 0.72932 0.82778 0.78993

13.00 0.77612 0.74432 0.84458 0.72265 0.82050 0.78288

14.00 0.76912 0.73793 0.83750 0.71655 0.81385 0.77644

66
Collision integrals for the (17, 6, 8) potential function for y= 1.0 T* ft". i >* ft< I- 2>* n«* 2> * n(i - 3)* fl(2 - 3) * n<3 * 3>* T* na- «* n(i - 2)* n<2- 2) * ft‘l- 3>* n<2 - 3)* ft<3. 3)*

0.10 3.02401 2.72287 3.21038 2.52046 2.97303 2.90555 15.00 0.76429 0.73375 0.83245 0.71267 0.80926 0.77210

0.15 2.67918 2.41219 2.85102 2.22869 2.64127 2.56942 16.00 0.75843 0.72833 0.82650 0.70747 0.80361 0.76663

0.20 2.45609 2.20547 2.62140 2.03031 2.43499 2.34801 17.00 0.75299 0.72329 0.82098 0.70262 0.79834 0.76154

0.25 2.29088 2.04844 2.45982 1.87239 2.28354 2.17861 18.00 0.74794 0.71858 0.81583 0.69808 0.79342 0.75678

0.30 2.15950 1.91945 2.33290 1.74189 2.16059 2.04228 19.00 0.74320 0.71417 0.81100 0.69381 0.78879 0.75231

0.35 2.04893 1.81006 2.22679 1.63276 2.05387 1.92878 20.00 0.73876 0.71000 0.80646 0.68979 0.78442 0.74810

0.40 1.95367 1.71586 2.13373 1.54099 1.95808 1.83188 22.00 0.73061 0.70234 0.79811 0.68238 0.77638 0.74034

0.45 1.86982 1.63446 2.05033 1.46346 1.87131 1.74783 24.00 0.72328 0.69543 0.79059 0.67569 0.76910 0.73332

0.50 1.79579 1.56370 1.97470 1.39942 1.79501 1.67636 26.00 0.71664 0.68914 0.78374 0.66959 0.76247 0.72693

0.55 1.72997 1.50293 1.90661 1.34266 1.72422 1.61050 28.00 0.71056 0.68337 0.77746 0.66399 0.75637 0.72105

0.60 1.67125 1.44779 1.84200 1.29736 1.66235 1.55593 30.00 0. 704% 0.67804 0.77166 0.65881 0.75073 0.71562

0.65 1.61835 1.40143 1.78564 1.25683 1.60534 1.50540 32.00 0.69977 0.67309 0.76627 0.65401 0.74548 0.71058

0.70 1.57073 1.35897 1.73164 1.22137 1.55432 1.46016 34.00 0.69494 0.66848 0.76125 0.64952 0.74058 0.70586

0.75 1.52748 1.32200 1.68325 1.19121 1.50941 1.42034 36.00 0.69042 0.66416 0.75653 0.64532 0.73599 0.70145

0.80 1.48850 1.28965 1.63977 1.16520 1.46897 1.38497 38.00 0.68617 0.66009 0.75210 0.64137 0.73167 0.69729

0.85 1.45297 1.26018 1.59849 1.14151 1.43188 1.35240 40.00 0.68217 0.65626 0.74792 0.63764 0.72758 0.69336

0.90 1.41981 1.23267 1.55966 1.12029 1.39842 1.32268 45.00 0.67308 0.64754 0.73839 0.62916 0.71827 0.68442

0.95 1.39095 1.20892 1.52553 1.10151 1.36834 1.29585 50.00 0.66506 0.63984 0.72995 0.62166 0.71003 0.67650

1.00 1.36330 1.18766 1.49417 1.08482 1.34098 1.27152 55.00 0.65789 0.63294 0.72238 0.61494 0.70263 0.66940

1.10 1.31372 1.15099 1.43806 1.05619 1.29336 1.22929 60.00 0.65141 0.62670 0.71553 0.60887 0.69593 0.66297

1.20 1.27322 1.11872 1.38874 1.03211 1.25341 1.19328 65.00 0.64550 0.62101 0.70927 0.60333 0.68980 0.65710

1.30 1.23682 1.09175 1.34662 1.01183 1.21972 1.16258 70.00 0.64008 0.61579 0.70352 0.59824 0.68417 0.65171

1.40 1.20492 1.06910 1.31007 0.99448 1.19073 1.13617 75.00 0.63507 0.61096 0.69819 0.59354 0 . 678% 0.64671

1.50 1.17821 1.04936 1.27817 0.97941 1.16564 1.11325 80.00 0.63042 0.60648 0.69324 0.58917 0.67412 0.64207

1.60 1.15508 1.03173 1.24995 0.96616 1.14382 1.09314 85.00 0.62608 0.60229 0.68862 0.58509 0.66959 0.63773

1.70 1.13302 1.01630 1.22515 0.95440 1.12472 1.07533 90.00 0.62201 0.59837 0.68428 0.58127 0.66535 0.63367

1.80 1.11278 1.00249 1.20282 0.94384 1.10777 1.05946 95.00 0.61819 0.59468 0.68019 0.57768 0.66135 0.62984

1.90 1.09482 0.99016 1.18270 0.93434 1.09267 1.04526 100.00 0.61458 0.59120 0.67633 0.57429 0.65757 0.62623

2.00 1.07901 0.97898 1.16457 0.92571 1.07911 1.03251 125.00 0.59911 0.57628 0.65974 0.55975 0.64135 0.61070

2.20 1.05204 0.95953 1.13347 0.91059 1.05570 1.01043 150.00 0.58674 0.56434 0.64643 0.54812 0.62833 0.59825

2.40 1.02872 0.94305 1.10759 0.89766 1.03622 0.99192 175.00 0.57646 0.55442 0.63534 0.53846 0.61749 0.58789

2.60 1.00892 0.92897 1.08570 0.88643 1.01961 0.97617 200.00 0.56769 0.54595 0.62586 0.53022 0.60822 0.57903

2.80 0.99174 0.91673 1.06684 0.87652 1.00549 0.96251

3.00 0.97666 0.90594 1.05042 0.86768 0.99319 0.95055

3.20 0.96332 0.89627 1.03605 0.85972 0.98231 0.93997

3.40 0.95142 0.88756 1.02335 0.85245 0.97251 0.93057

3.60 0.94059 0.87967 1.01204 0.84579 0.96368 0.92210

3.80 0.93086 0.87246 1.00186 0.83966 0.95571 0.91438

4.00 0.92208 0.86583 0.99262 0.83398 0.94844 0.90730

4.50 0.90316 0.85128 0.97276 0.82138 0.93265 0.89194

5.00 0.88727 0.83899 0.95648 0.81054 0.91942 0.87909

5.50 0.87386 0.82837 0.94279 0.80106 0.90809 0.86806

6.00 0.86230 0.81903 0.93106 0.79262 0.89819 0.85845

6.50 0.85209 0.81069 0.92078 0.78504 0.88943 0.84991

7.00 0.84306 0.80318 0.91168 0.77815 0.88155 0.84224

7.50 0.83497 0.79634 0.90350 0.77184 0.87441 0.83529

8.00 0.82761 0.79007 0.89609 0.76602 0.86786 0.82894 ' 8.50 0.82088 0.78429 0.88934 0.76063 0.86183 0.82308

9.00 0.81468 0.77892 0.88313 0.75560 0.85624 0.81765

9.50 0.80894 0.77390 0.87737 0.75089 0.85103 0.81258

10.00 0.80359 0.76921 0.87202 0.74646 0.84615 0.80784

11.00 0.79391 0.76062 0.86230 0.73833 0.83723 0.79919

12.00 0.78532 0.75293 0.85368 0.73102 0.82923 0.79143

13.00 0.77764 0.74596 0.84593 0.72437 0.82198 0.78441

14.00 0.77067 0.73960 0.83890 0.71828 0.81536 0.77800

67
Collision integrals for the (18, 6, 8) potential function for y = 0.

T* ft«- »• n<i. ft<2- 2>* ft”- ft<2. 3)* ft<3. 3)* T* ft”. ft”. *>* ft<2- 2>* ft”- 3>* ft<2. 3)* ft(3. 3)*

0.10 3.43931 3.05240 3.58325 2.79453 3.29145 3.24121 15.00 0.76495 0.73472 0.83187 0.71398 0.80883 0.77252

0.15 2.99774 2.65496 3.13823 2.42295 2.88570 2.81686 16.00 0.75915 0.72939 0.82596 0.70888 0.80324 0.76713

0.20 2.71271 2.39388 2.86248 2.17014 2.63391 2.53709 17.00 0.75378 0.72444 0.82048 0.70414 0.79803 0.76211

0.25 2.50321 2.19567 2.66536 1.97219 2.44739 2.32571 18.00 0.74878 0.71982 0.81538 0.69969 0.79317 0.75743

0.30 2.33626 2.03476 2.50980 1.81541 2.29796 2.16154 19.00 0.74411 0.71548 0.81060 0.69552 0.78860 0.75302

0.35 2.19915 1.90115 2.37952 1.68732 2.16794 2.02620 20.00 0.73973 0.71140 0.80610 0.69159 0.78430 0.74888

0.40 2.08008 1.78806 2.26523 1.58119 2.05136 1.91134 22.00 0.73171 0.70390 0.79785 0.68435 0.77637 0.74125

0.45 1.97808 1.69308 2.16470 1.49469 1.94918 1.81459 24.00 0.72450 0.69713 0.79042 0.67782 0.76922 0.73436

0.50 1.88922 1.61121 2.07354 1.42227 1.85953 1.73052 26.00 0.71798 0.69098 0.78367 0.67187 0.76270 0.72809

0.55 1.81091 1.54216 1.99249 1.36321 1.77804 1.65903 28.00 0.71201 0.68534 0.77748 0.66641 0.75671 0.72233

0.60 1.74126 1.48079 1.91753 1.31148 1.70509 1.59454 30.00 0.70652 0.68014 0.77177 0.66137 0.75118 0.71702

0.65 1.68003 1.42813 1.84997 1.26854 1.64240 1.53879 32.00 0.70144 0.67531 0.76647 0.65670 0.74604 0.71208

0.70 1.62511 1.38289 1.79027 1.23233 1.58685 1.49017 34.00 0.69671 0.67081 0.76153 0.65233 0.74124 0.70747

0.75 1.57581 1.34208 1.73409 1.20001 1.53627 1.44603 36.00 0.69229 0.66660 0.75691 0.64825 0.73674 0.70315

0.80 1.53130 1.30551 1.68262 1.17189 1.49161 1.40658 38.00 0.68814 0.66264 0.75256 0.64440 0.73251 0.69909

0.85 1.49176 1.27392 1.63727 1.14714 1.45165 1.37101 40.00 0.68423 0.65891 0.74845 0.64078 0.72852 0.69526

0.90 1.45463 1.24661 1.59660 1.12561 1.41587 1.33947 45.00 0.67535 0.65042 0.73912 0.63254 0.71943 0.68653

0.95 1.42074 1.22165 1.55847 1.10645 1.38355 1.31112 50.00 0.66753 0.64293 0.73086 0.62526 0.71138 0.67882

1.00 1.39119 1.19825 1.52268 1.08914 1.35432 1.28522 55.00 0.66054 0.63623 0.72347 0.61874 0.70417 0.67190

1.10 1.33822 1.15795 1.46036 1.05933 1.30394 1.23984 60.00 0.65422 0.63017 0.71678 0.61285 0.69764 0.66564

1.20 1.29156 1.12517 1.40781 1.03471 1.26196 1.20185 65.00 0.64848 0.62465 0.71067 0.60748 0.69168 0.65993

1.30 1.25358 1.09763 1.36263 1.01402 1.22644 1.16973 70.00 0.64320 0.61958 0.70506 0.60255 0.68621 0.65469

1.40 1.22150 1.07363 1.32352 0.99630 1.19620 1.14219 75.00 0.63833 0.61490 0.69987 0.59800 0.68114 0.64984

1.50 1.19140 1.05303 1.28978 0.98092 1.17029 1.11825 80.00 0.63381 0.61055 0.69505 0.59377 0.67643 0.64533

1.60 1.16481 1.03499 1.25996 0.96740 1.14777 1.09729 85.00 0.62960 0.60649 0.69055 0.58982 0.67203 0.64111

1.70 1.14116 1.01912 1.23343 0.95546 1.12805 1.07889 90.00 0.62565 0.60269 0.68632 0.58612 0.66791 0.63717

1.80 1.12094 1.00498 1.20985 0.94479 1.11059 1.06256 95.00 0.62193 0.59912 0.68235 0.58264 0.66403 0.63345

1.90 1.10296 0.99232 1.18895 0.93518 1.09502 1.04800 100.00 0.61843 0.59574 0.67860 0.57936 0.66036 0.62995

2.00 1.08646 0.98086 1.17023 0.92644 1.08107 1.03490 125.00 0.60343 0.58129 0.66249 0.56529 0.64463 0.61489

2.20 1.05757 0.96092 1.13796 0.91112 1.05712 1.01222 150.00 0.59144 0.56973 0.64957 0.55404 0.63201 0.60282

2.40 1.03333 0.94425 1.11112 0.89808 1.03713 0.99331 175.00 0.58149 0.56013 0.63882 0.54470 0.62151 0.59278

2.60 1.01272 0.92998 1.08837 0.88674 1.02047 0.97716 200.00 0.57299 0.55195 0.62963 0.53673 0.61254 0.58421

2.80 0.99496 0.91753 1.06890 0.87676 1.00611 0.96326

3.00 0.97939 0.90655 1.05213 0.86785 0.99345 0.95121

3.20 0.96549 0.89678 1.03749 0.85984 0.98231 0.94055

3.40 0.95335 0.88801 1.02454 0.85256 0.97244 0.93099

3.60 0.94245 0.88004 1.01294 0.84590 0.96355 0.92239

3.80 0.93264 0.87277 1.00251 0.83976 0.95551 0.91457

4.00 0.92363 0.86610 0.99306 0.83408 0.94814 0.90745

4.50 0.90411 0.85150 0.97288 0.82148 0.93216 0.89198

5.00 0.88811 0.83918 0.95638 0.81067 0.91882 0.87906

5.50 0.87451 0.82854 0.94255 0.80123 0.90743 0.86800

6.00 0.86281 0.81921 0.93068 0.79286 0.89750 0.85835

6.50 0.85260 0.81089 0.92031 0.78533 0.88870 0.84981

7.00 0.84353 0.80341 0.91112 0.77850 0.88080 0.84216

7.50 0.83538 0.79661 0.90291 0.77225 0.87365 0.83522

8.00 0.82799 0.79038 0.89548 0.76650 0.86711 0.82889

8.50 0.82124 0.78464 0.88869 0.76117 0.86109 0.82305

9.00 0.81503 0.77931 0.88245 0.75620 0.85551 0.81765

9.50 0.80929 0.77435 0.87668 0.75155 0.85031 0.81262

10.00 0.80396 0.76970 0.87132 0.74719 0.84545 0.80791

11.00 0.79433 0.76121 0.86162 0.73919 0.83657 0.79932

12.00 0.78581 0.75361 0.85302 0.73199 0.82862 0.79164

13.00 0.77817 0.74674 0.84529 0.72546 0.82143 0.78469

14.00 0.77126 0.74048 0.83828 0.71949 0.81487 0.77835

68
Collision integrals for the (18, 6, 8) potential function for y — 0.2 T* ft°- ft”- ft<2. 2)* ft”- 3>* ft<2, 3)* ft(3. 3)* T* ft”. ft”- ft<2. 2)* ft”. 3)* ft<2. 3)* ft(3. 3)*

0.10 3.34066 2.97246 3.49537 2.72588 3.21409 3.15892 15.00 0.76686 0.73676 0.83361 0.71609 0.81070 0.77444

0.15 2.92056 2.59379 3.06763 2.37330 2.82486 2.75500 16.00 0.76109 0.73145 0.82773 0.71101 0.80513 0.76907

0.20 2.64932 2.34587 2.80245 2.13382 2.58281 2.48882 17.00 0.75574 0.72652 0.82228 0.70627 0.79995 0.76407

0.25 2.45013 2.15707 2.61216 1.94712 2.40585 2.28899 18.00 0.75076 0.72191 0.81720 0.70183 0.79511 0.75940

0.30 2.29160 2.00471 2.46401 1.79647 2.26214 2.13079 19.00 0.74611 0.71758 0.81245 0.69767 0.79057 0.75502

0.35 2.15996 1.87704 2.33926 1.67178 2.13621 1.99930 20.00 0.74174 0.71351 0.80798 0.69375 0.78628 0.75089

0.40 2.04744 1.76948 2.23098 1.56997 2.02565 1.88960 22.00 0.73374 0.70602 0.79976 0.68652 0.77839 0.74328

0.45 1.95003 1.67724 2.13382 1.48678 1.92847 1.79741 24.00 0.72656 0.69927 0.79237 0.68000 0.77126 0.73642

0.50 1.86462 1.59927 2.04756 1.41586 1.83956 1.71540 26.00 0.72005 0.69313 0.78564 0.67406 0.76476 0.73016

0.55 1.78973 1.53039 1.96767 1.35820 1.76331 1.64633 28.00 0.71410 0.68750 0.77948 0.66860 0.75879 0.72442

0.60 1.72319 1.47255 1.89760 1.30776 1.69281 1.58374 30.00 0.70863 0.68231 0.77379 0.66357 0.75328 0.71912

0.65 1.66384 1.42025 1.83125 1.26518 1.63132 1.52930 32.00 0.70356 0.67749 0.76852 0.65890 0.74816 0.71419

0.70 1.61084 1.37629 1.77360 1.22953 1.57757 1.48172 34.00 0.69884 0.67299 0.76359 0.65454 0.74337 0.70959

0.75 1.56379 1.33743 1.72081 1.19829 1.52882 1.43926 36.00 0.69442 0.66879 0.75898 0.65045 0.73889 0.70529

0.80 1.51972 1.30137 1.67036 1.17031 1.48476 1.40049 38.00 0.69028 0.66483 0.75465 0.64661 0.73467 0.70123

0.85 1.48164 1.27020 1.62592 1.14593 1.44573 1.36586 40.00 0.68638 0.66110 0.75056 0.64299 0.73069 0.69741

0.90 1.44611 1.24272 1.58585 1.12453 1.41072 1.33472 45.00 0.67752 0.65262 0.74125 0.63475 0.72161 0.68870

0.95 1.41294 1.21868 1.54941 1.10561 1.37908 1.30686 50.00 0.66970 0.64513 0.73301 0.62747 0.71358 0.68099

1.00 1.38323 1.19628 1.51506 1.08861 1.35042 1.28160 55.00 0.66272 0.63843 0.72564 0.62095 0.70638 0.67408

1.10 1.33238 1.15653 1.45393 1.05908 1.30074 1.23705 60.00 0.65641 0.63237 0.71896 0.61506 0.69986 0.66783

1.20 1.28683 1.12375 1.40226 1.03471 1.25951 1.19969 65.00 0.65067 0.62685 0.71287 0.60968 0.69391 0.66212

1.30 1.24882 1.09666 1.35804 1.01423 1.22457 1.16802 70.00 0.64540 0.62178 0.70726 0.60475 0.68844 0.65688

1.40 1.21744 1.07317 1.31971 0.99667 1.19470 1.14087 75.00 0.64053 0.61710 0.70208 0.60019 0.68338 0.65203

1.50 1.18907 1.05267 1.28640 0.98143 1.16908 1.11729 80.00 0.63601 0.61275 0.69727 0.59596 0.67867 0.64752

1.60 1.16257 1.03484 1.25720 0.96804 1.14682 1.09662 85.00 0.63179 0.60869 0.69277 0.59201 0.67428 0.64331

1.70 1.13935 1.01916 1.23120 0.95617 1.12732 1.07838 90.00 0.62784 0.60488 0.68855 0.58830 0.67016 0.63936

1.80 1.11904 1.00517 1.20796 0.94558 1.11006 1.06225 95.00 0.62413 0.60131 0.68458 0.58482 0.66628 0.63565

1.90 1.10129 0.99262 1.18724 0.93605 1.09468 1.04783 100.00 0.62063 0.59793 0.68083 0.58154 0.66262 0.63214

2.00 1.08527 0.98131 1.16877 0.92738 1.08086 1.03487 125.00 0.60562 0.58346 0.66473 0.56745 0.64688 0.61708

2.20 1.05669 0.96153 1.13690 0.91218 1.05713 1.01244 150.00 0.59362 0.57189 0.65182 0.55618 0.63426 0.60501

2.40 1.03290 0.94498 1.11043 0.89923 1.03730 0.99373 175.00 0.58365 0.56228 0.64106 0.54682 0.62375 0.59496

2.60 1.01260 0.93085 1.08799 0.88798 1.02075 0.97774 200.00 0.57515 0.55408 0.63187 0.53883 0.61478 0.58638

2.80 0.99500 0.91852 1.06873 0.87807 1.00655 0.96393

3.00 0.97968 0.90762 1.05209 0.86923 0.99406 0.95194

3.20 0.96600 0.89792 1.03758 0.86126 0.98299 0.94139

3.40 0. 9&81 0.88921 1.02476 0.85403 0.97317 0.93193

3.60 0.94303 0.88132 1.01330 0.84741 0.96436 0.92339

3.80 0.93332 0.87409 1.00297 0.84131 0.95637 0.91563

4.00 0.92446 0.86746 0.99360 0.83566 0.94908 0.90855

4.50 0.90513 0.85296 0.97359 0.82313 0.93321 0.89320

5.00 0.88922 0.84072 0.95723 0.81239 0.92000 0.88036

5.50 0.87578 0.83015 0.94352 0.80300 0.90867 0.86939

6.00 0.86415 0.82087 0.93173 0.79467 0.89882 0.85980

6.50 0.85399 0.81260 0.92145 0.78718 0.89008 0.85131

7.00 0.84499 0.80516 0.91233 0.78038 0.88224 0.84371

7.50 0.83690 0.79839 0.90417 0.77416 0.87513 0.83682

8.00 0.82957 0.79220 0.89680 0.76843 0.86864 0.83051

8.50 0.82286 0.78648 0.89006 0.76312 0.86265 0.82471

9.00 0.81669 0.78118 0.88387 0.75817 0.85711 0.81934

9.50 0.81099 0.77624 0.87813 0.75355 0.85195 0.81434

10.00 0.80568 0.77161 0.87281 0.74920 0.84711 0.80965

11.00 0.79610 0.76316 0.86317 0.74122 0.83829 0.80111

12.00 0.78763 0.75559 0.85462 0.73405 0.83039 0.79347

13.00 0.78002 0.74875 0.84695 0.72754 0.82323 0.78655

14.00 0.77314 0.74250 0.83998 0.72158 0.81670 0.78024

69
Collision integrals for the (18, 6, 8) potential function for y — 0.4 T* fi< i . i >* ft< 2 - *>* n( 2 . 3>* n(3 > 3) * T* n(i - »>* n«* 2) * n<2> 2) * n°' 3) * n<2 - 3)* n<3- 3)*

0.10 3.24226 2.89179 3.40568 2.65869 3.13741 3.07753 15.00 0.76865 0.73867 0.83523 0.71807 0.81244 0.77622

0.15 2.84354 2.53490 2.99933 2.32466 2.76496 2.69441 16.00 0.76290 0.73338 0.82938 0.71299 0.80690 0.77087

0.20 2.58643 2.29880 2.74336 2.09805 2.53282 2.44134 17.00 0.75757 0.72846 0.82396 0.70826 0.80175 0.76590

0.25 2.39919 2.12152 2.56273 1.92102 2.36363 2.25121 18.00 0.75261 0.72386 0.81891 0.70384 0.79692 0.76124

0.30 2.24723 1.97507 2.41903 1.77711 2.22633 2.09994 19.00 0.74797 0.71955 0.81417 0.69969 0.79240 0.75687

0.35 2.12269 1.85380 2.30042 1.65812 2.10704 1.97477 20.00 0.74362 0.71549 0.80972 0.69577 0.78813 0.75276

0.40 2.01541 1.75062 2.19679 1.55958 2.00125 1.86928 22.00 0.73565 0.70802 0.80155 0.68856 0.78027 0.74518

0.45 1.92264 1.66233 2.10440 1.47864 1.90769 1.77981 24.00 0.72849 0.70128 0.79419 0.68204 0.77316 0.73833

0.50 1.84101 1.58684 2.02155 1.40967 1.82237 1.70062 26.00 0.72200 0.69515 0.78749 0.67611 0.76669 0.73210

0.55 1.76919 1.52013 1.94498 1.35282 1.74823 1.63349 28.00 0.71607 0.68953 0.78135 0.67066 0.76074 0.72637

0.60 1.70528 1.46405 1.87756 1.30440 1.68130 1.57358 30.00 0.71060 0.68434 0.77568 0.66563 0.75524 0.72108

0.65 1.64779 1.41361 1.81436 1.26251 1.62121 1.52051 32.00 0.70554 0.67953 0.77042 0.66096 0.75013 0.71617

0.70 1.59677 1.37056 1.75816 1.22666 1.56828 1.47348 34.00 0.70083 0.67504 0.76552 0.65660 0.74536 0.71158

0.75 1.55074 1.33204 1.70682 1.19627 1.52128 1.43231 36.00 0.69643 0.67084 0.76092 0.65252 0.74089 0.70728

0.80 1.50893 1.29769 1.65901 1.16897 1.47839 1.39478 38.00 0.69229 0.66689 0.75660 0.64868 0.73668 0.70323

0.85 1.47120 1.26663 1.61495 1.14498 1.44024 1.36102 40.00 0.68839 0.66316 0.75252 0.64506 0.73271 0.69941

0.90 1.43729 1.23921 1.57556 1.12350 1.40569 1.33024 45.00 0.67955 0.65469 0.74324 0.63682 0.72366 0.69072

0.95 1.40543 1.21540 1.54013 1.10476 1.37472 1.30276 50.00 0.67174 0.64720 0.73503 0.62954 0.71564 0.68302

1.00 1.37611 1.19387 1.50722 1.08799 1.34660 1.27798 55.00 0.66476 0.64050 0.72767 0.62302 0.70845 0.67612

1.10 1.32599 1.15501 1.44753 1.05889 1.29775 1.23443 60.00 0.65846 0.63444 0.72100 0.61713 0.70194 0.66988

1.20 1.28268 1.12246 1.39688 1.03476 1.25720 1.19766 65.00 0.65272 0.62892 0.71492 0.61175 0.69600 0.66418

1.30 1.24509 1.09563 1.35356 1.01438 1.22274 1.16636 70.00 0.64745 0.62385 0.70933 0.60682 0.69053 0.65894

1.40 1.21319 1.07260 1.31599 0.99699 1.19327 1.13958 75.00 0.64259 0.61916 0.70416 0.60225 0.68548 0.65409

1.50 1.18611 1.05235 1.28316 0.98188 1.16790 1.11634 80.00 0.63807 0.61481 0.69935 0.59802 0.68078 0.64958

1.60 1.16069 1.03479 1.25461 0.96862 1.14591 1.09593 85.00 0.63385 0.61075 0.69486 0.59406 0.67639 0.64537

1.70 1.13804 1.01914 1.22898 0.95683 1.12660 1.07792 90.00 0.62991 0.60695 0.69064 0.59035 0.67227 0.64143

1.80 1.11737 1.00532 1.20613 0.94633 1.10956 1.06194 95.00 0.62619 0.60337 0.68668 0.58687 0.66839 0.63771

1.90 1.09968 0.99289 1.18566 0.93684 1.09432 1.04766 100.00 0.62269 0.59999 0.68293 0.58358 0.66473 0.63421

2.00 1.08391 0.98167 1.16734 0.92825 1.08066 1.03483 125.00 0.60767 0.58551 0.66684 0.56947 0.64900 0.61914

2.20 1.05604 0.96213 1.13591 0.91316 1.05713 1.01264 150.00 0.59567 0.57392 0.65393 0.55819 0.63637 0.60706

2.40 1.03262 0.94571 1.10980 0.90031 1.03746 0.99410 175.00 0.58569 0.56429 0.64318 0.54881 0.62586 0.59701

2.60 1.01241 0.93163 1.08760 0.88913 1.02101 0.97826 200.00 0.57718 0.55608 0.63398 0.54081 0.61688 0.58842

2.80 0.99504 0.91942 1.06855 0.87928 1.00693 0.96457

3.00 0.97986 0.90862 1.05205 0.87051 0.99462 0.95263

3.20 0.96641 0.89898 1.03765 0.86259 0.98364 0.94215

3.40 0.95432 0.89033 1.02495 0.85539 0.97386 0.93279

3.60 0.94366 0.88249 1.01361 0.84882 0.96511 0.92432

3.80 0.93392 0.87532 1.00339 0.84276 0.95718 0.91662

4.00 0.92517 0.86873 0.99411 0.83714 0.94994 0.90959

4.50 0.90609 0.85432 0.97425 0.82468 0.93421 0.89433

5.00 0.89026 0.84216 0.95802 0.81400 0.92108 0.88158

5.50 0.87694 0.83165 0.94441 0.80466 0.90983 0.87067

6.00 0.86539 0.82242 0.93271 0.79636 0.90004 0.86115

6.50 0.85529 0.81420 0.92251 0.78891 0.89137 0.85271

7.00 0.84636 0.80679 0.91346 0.78214 0.88358 0.84515

7.50 0.83832 0.80006 0.90535 0.77595 0.87651 0.83830

8.00 0.83103 0.79389 0.89802 0.77024 0.87006 0.83203

8.50 0.82437 0.78821 0.89134 0.76495 0.86411 0.82626

9.00 0.81824 0.78293 0.88519 0.76002 0.85860 0.82092

9.50 0.81257 0.77801 0.87949 0.75541 0.85347 0.81594

10.00 0.80730 0.77340 0.87420 0.75108 0.84867 0.81128

11.00 0.79775 0.76498 0.86462 0.74313 0.83989 0.80278

12.00 0.78932 0.75744 0.85612 0.73598 0.83203 0.79517

13.00 0.78176 0.75062 0.84849 0.72949 0.82491 0.78829

14.00 0.77491 0.74440 0.84156 0.72354 0.81842 0.78200

70
Collision integrals for the (18, 6, 8) potential function for y = 0.6 T* fta* »* ft(1 - 2) * 2)* n«* 3) * ft< 2- 3)* 3)* T* n(i - »* n( »- 2> * H<2. 2>* no- 3'* 012. 3)* a<3- 3)*

0.10 3.14415 2.81304 3.31712 2.59239 3.06102 2.99693 15.00 0.77033 0.74047 0.83675 0.71993 0.81408 0.77791

0.15 2.76659 2.47465 2.92852 2.27713 2.70566 2.63403 16.00 0.76460 0.73520 0.83094 0.71487 0.80857 0.77258

0.20 2.52225 2.25275 2.68482 2.06174 2.48257 2.39339 17.00 0.75929 0.73029 0.82554 0.71015 0.80344 0.76762

0.25 2.34466 2.08306 2.51037 1.89458 2.32160 2.21323 18.00 0.75435 0.72570 0.82051 0.70573 0.79863 0.76298

0.30 2.20355 1.94585 2.37501 1.75754 2.19087 2.06907 19.00 0.74973 0.72140 0.81580 0.70158 0.79413 0.75863

0.35 2.08618 1.83017 2.26162 1.64380 2.07766 1.94968 20.00 0.74540 0.71735 0.81137 0.69768 0.78987 0.75453

0.40 1.98341 1.73157 2.16289 1.54998 1.97787 1.84957 22.00 0.73745 0.70989 0.80323 0.69047 0.78204 0.74697

0.45 1.89508 1.64694 2.07487 1.47012 1.88665 1.76183 24.00 0.73031 0.70317 0.79590 0.68397 0.77496 0.74015

0.50 1.81717 1.57387 1.99539 1.40381 1.80603 1.68661 26.00 0.72383 0.69705 0.78923 0.67804 0.76851 0.73393

0.55 1.74844 1.51033 1.92317 1.34781 1.73554 1.62081 28.00 0.71791 0.69144 0.78311 0.67260 0.76258 0.72822

0.60 1.68708 1.45518 1.85723 1.30084 1.66977 1.56344 30.00 0.71246 0.68626 0.77747 0.66757 0.75710 0.72294

0.65 1.63226 1.40700 1.79783 1.25927 1.61071 1.51120 32.00 0.70741 0.68145 0.77223 0.66291 0.75200 0.71803

0.70 1.58280 1.36362 1.74171 1.22398 1.55926 1.46555 34.00 0.70271 0.67697 0.76734 0.65855 0.74725 0.71345

0.75 1.53835 1.32666 1.69282 1.19408 1.51366 1.42532 36.00 0.69832 0.67277 0.76276 0.65447 0.74279 0.70916

0.80 1.49881 1.29380 1.64764 1.16764 1.47222 1.38913 38.00 0.69419 0.66883 0.75845 0.65064 0.73859 0.70512

0.85 1.46111 1.26321 1.60450 1.14370 1.43452 1.35587 40.00 0.69030 0.66510 0.75438 0.64702 0.73462 0.70131

0.90 1.42815 1.23615 1.56587 1.12269 1.40095 1.32600 45.00 0.68146 0.65663 0.74512 0.63878 0.72559 0.69263

0.95 1.39785 1.21214 1.53096 1.10392 1.37044 1.29883 50.00 0.67366 0.64915 0.73693 0.63150 0.71758 0.68494

1.00 1.36942 1.19120 1.49922 1.08734 1.34286 1.27442 55.00 0.66670 0.64245 0.72958 0.62498 0.71041 0.67805

1.10 1.32015 1.15357 1.44144 1.05868 1.29489 1.23182 60.00 0.66040 0.63640 0.72293 0.61908 0.70391 0.67181

1.20 1.27834 1.12147 1.39186 1.03468 1.25480 1.19556 65.00 0.65466 0.63087 0.71686 0.61370 0.69797 0.66612

1.30 1.24070 1.09458 1.34916 1.01451 1.22095 1.16476 70.00 0.64940 0.62580 0.71128 0.60876 0.69251 0.66088

1.40 1.20919 1.07195 1.31232 0.99728 1.19189 1.13833 75.00 0.64453 0.62112 0.70611 0.60420 0.68746 0.65603

1.50 1.18279 1.05206 1.28011 0.98229 1.16679 1.11538 80.00 0.64001 0.61676 0.70131 0.59996 0.68276 0.65153

1.60 1.15877 1.03451 1.25181 0.96914 1.14502 1.09526 85.00 0.63580 0.61270 0.69682 0.59600 0.67838 0.64732

1.70 1.13608 1.01910 1.22680 0.95745 1.12593 1.07745 90.00 0.63185 0.60889 0.69261 0.59229 0.67426 0.64338

1.80 1.11611 1.00542 1.20434 0.94700 1.10903 1.06162 95.00 0.62814 0.60531 0.68865 0.58880 0.67038 0.63966

1.90 1.09812 0.99313 1.18414 0.93759 1.09398 1.04749 100.00 0.62463 0.60193 0.68491 0.58551 0.66672 0.63616

2.00 1.08249 0.98200 1.16600 0.92905 1.08044 1.03477 125.00 0.60961 0.58743 0.66883 0.57138 0.65099 0.62109

2.20 1.05535 0.96267 1.13495 0.91408 1.05713 1.01279 150.00 0.59760 0.57583 0.65592 0.56008 0.63837 0.60900

2.40 1.03197 0.94630 1.10906 0.90128 1.03776 0.99438 175.00 0.58761 0.56620 0.64517 0.55069 0.62786 0.59894

2.60 1.01216 0.93235 1.08719 0.89019 1.02128 0.97873 200.00 0.57909 0.55797 0.63597 0.54267 0.61887 0.59034

2.80 0.99504 0.92025 1.06836 0.88041 1.00727 0.96517

3.00 0.97999 0.90954 1.05201 0.87170 0.99508 0.95330

3.20 0.96673 0.89997 1.03772 0.86384 0.98424 0.94286

3.40 0.95482 0.89137 1.02512 0.85668 0.97453 0.93357

3.60 0.94407 0.88358 1.01388 0.85013 0.96581 0.92518

3.80 0.93452 0.87647 1.00376 0.84411 0.95794 0.91754

4.00 0.92579 0.86992 0.99457 0.83852 0.95074 0.91056

4.50 0.90697 0.85559 0.97488 0.82614 0.93514 0 . 89540 .

5.00 0.89124 0.84350 0.95876 0.81551 0.92209 0.88273

5.50 0.87801 0.83305 0.94523 0.80621 0.91093 0.87188

6.00 0.86657 0.82387 0.93364 0.79795 0.90119 0.86242

6.50 0.85653 0.81569 0.92350 0.79053 0.89257 0.85403

7.00 0.84762 0.80833 0.91452 0.78379 0.88483 0.84651

7.50 0.83965 0.80163 0.90646 0.77763 0.87781 0.83969

8.00 0.83241 0.79549 0.89917 0.77194 0.87139 0.83346

8.50 0.82579 0.78983 0.89254 0.76667 0.86549 0.82772

9.00 0.81970 0.78457 0.88643 0.76176 0.86001 0.82240

9.50 0.81406 0.77967 0.88077 0.75717 0.85490 0.81745

10.00 0.80881 0.77508 0.87551 0.75285 0.85013 0.81282

11.00 0.79931 0.76669 0.86598 0.74492 0.84139 0.80435

12.00 0.79091 0.75918 0.85753 0.73779 0.83358 0.79678

13.00 0.78339 0.75238 0.84995 0.73132 0.82650 0.78992

14.00 0.77656 0.74618 0.84306 0.72539 0.82003 0.78366

71
Table 3. Thermal diffusion factor for the (m, 6, 8) potential function for various values of m and y

Thermal diffusion factor for the (9, 6, 8) potential function

0. 1. 2. 3. 4. 5.

.100 .2625 .2658 .2777 .2935 .3065 .3198

.150 .2107 .2251 .2386 .2536 .2703 .2873

.200 .1368 .1564 .1723 .1902 .2098 .2301

.250 .0532 .0744 .0945 .1144 .1395 .1616

.300 -.0218 .0016 .0233 .0474 .0686, .0942

.350 -.0796 -.0606 -.0349 -.0083 .0159 .0368

.400 -.1232 -.1002 -.0754 -.0513 -.0307 -.0098

.450 -.1524 -.1299 -.1082 -.0885 -.0628 -.0380

.500 -.1690 -.1487 -.1257 -.1038 -.0840 -.0627

.550 -.1800 -.1635 -.1393 -.1168 -.0962 -.0731

.600 -.1823 -.1643 -.1483 -.1294 -.1056 -.0834

.650 -.1791 -.1542 -.1361 -.1212 -.1065 -.0897

.700 -.1709 -.1547 -.1338 -.1127 -.0943 -.0787

.750 -.1644 -.1467 -.1282 -.1106 -.0914 -.0710

.800 -.1514 -.1297 -.1162 -.1020 -.0843 -.0677

.850 -.1350 -.1158 -.1016 -.0848 -.0717 -.0585

.900 -.1213 -.1044 -.0863 -.0707 -.0581 -.0421

.950 -.1076 -.0971 -.0777 -.0586 -.0430 -.0289

1.000 -.0924 -.0812 -.0674 -.0516 -.0332 -.0161

1.100 -.0577 -.0449 -.0343 -.0208 -.0086 .0026

1.200 -.0264 -.0096 .0035 .0140 .0226 .0343 1.300 .0036 .0176 .0312 .0441 .0560 .0665

1.400 .0336 .0460 .0575 .0691 .0814 .0932

1.500 .0626 .0726 .0843 .0954 .1056 .1159

1.600 .0893 .0999 .1099 .1195 .1297 .1398

1.700 .1131 .1244 .1346 .1443 .1530 .1616

1.800 .1360 .1471 .1570 .1664 .1753 .1837

1.900 .1579 .1678 .1777 .1871 .1959 .2041 2.000 .1785 .1875 .1969 .2059 .2146 .2229 2.200 .2155 .2254 .2336 .2411 .2484 .2559

2.400 .2476 .2566 .2649 .2726 .2799 .2865 2.600 .2739 .2825 .2911 .2991 .3062 .3127 2.800 .2975 .3059 .3136 .3210 .3282 .3349 3.000 .3189 .3272 .3344 .3411 .3476 .3539 3.200 .3377 .3458 .3530 .3595 .3654 .3711

3.400 .3543 .3617 .3689 .3755 .3814 .3870 3.600 .3690 .3761 .3829 .3893 .3954 .4009 3.800 .3819 .3893 .3958 .4018 .4075 .4130 4.000 .3934 .4006 .4072 .4133 .4187 .4238 4.500 .4164 .4237 .4302 .4362 .4415 .4464

5.000 .4341 .4411 .4474 .4532 .4586 .4635 5.500 .4483 .4550 .4611 .4667 .4718 .4766 6.000 .4596 .4661 .4721 .4775 .4824 .4870 6.500 .4687 .4753 .4810 .4863 .4911 .4956 7.000 .4760 .4826 .4884 .4936 .4983 .5026

7.500 .4820 .4884 .4942 .4994 .5041 .5084 8.000 .4869 .4933 .4990 .5041 .5088 .5131 8.500 .4909 .4974 .5030 .5081 .5127 .5169 9.000 .4943 .5007 .5063 .5114 .5160 .5202 9.500 .4970 .5034 .5091 .5141 .5187 .5229 72
Thermal diffusion factor for the (9, 6, 8) potential function — Continued

T*

y

0. 1. 2. 3. 4. 5.

10.000 .4993 .5057 .5113 .5164 .5209 .5251 11.000 .5029 .5093 .5149 .5199 .5244 .5285 12.000 .5056 .5119 .5174 .5224 .5268 .5309 13.000 .5075 .5138 .5193 .5242 .5286 5327

14.000 .5089 .5152 .5207 .5256 .5299 .5339

15.000 .5099 .5162 .5216 .5265 .5309 .5348 16.000 .5106 .5168 .5223 .5271 .5315 .5354 17.000 .5110 .5173 .5227 .5276 .5319 .5358 18.000 .5113 .5176 .5230 .5278 .5321 .5360 19.000 .5114 .5177 .5231 .5279 .5322 .5361

20.000 .5114 .5177 .5232 .5280 .5322 .5361 22.000 .5112 .5175 .5230 .5277 .5320 .5359 24.000 .5108 .5171 .5225 .5273 .5316 .5354 26.000 .5103 .5166 .5220 .5268 .5310 .5348 28.000 .5097 .5160 .5214 .5261 .5304 .5341

30.000 .5090 .5153 .5207 .5255 .5297 .5335 32.000 .5083 .5146 .5201 .5248 .5290 .5327 34.000 .5076 .5140 .5194 .5241 .5283 .5320 36.000 .5069 .5133 .5187 .5234 .5276 .5313 38.000 .5063 .5126 .5180 .5227 .5269 .5306

40.000 .5056 .5119 .5173 .5220 .5262 .5299 45.000 .5040 .5103 .5157 .5204 .5245 .5282 50.000 .5025 .5088 .5142 .5189 .5230 .5267 55.000 .5011 .5074 .5128 .5175 .5216 .5252 60.000 .4998 .5062 .5115 .5162 .5202 .5239

65.000 .4986 .5050 .5103 .5150 .5190 .5226 70.000 .4975 .5039 .5092 .5138 .5179 .5215 75.000 .4965 .5028 .5082 .5128 .5168 .5204 80.000 .4955 .5019 .5072 .5118 .5158 .5194 85.000 .4946 .5010 .5063 .5109 .5149 .5185

90.000 .4938 .5001 .5055 .5100 .5140 .5176 95.000 .4930 .4993 .5047 .5092 .5132 .5167 100.000 .4922 .4986 .5039 .5085 .5124 .5160 125.000 .4890 .4954 .5007 .5052 .5091 .5126 150.000 .4865 .4929 .4982 .5026 .5065 .5099

175.000 .4845 .4908 .4961 .5005 .5044 .5077 200.000 .4828 .4891 .4944 .4988 .5026 .5059

73
Thermal diffusion factor for the {10, 6, 8 ) potential function

74
Thermal diffusion factor for the (10, 6, 8) potential function — Continued

1 *

0. 1. 2. 3. 4.

10.000 .5230 .5322 .5399 .5464 .5522 11.000 .5267 .5358 .5435 .5499 .5556 12.000 .5294 .5385 .5460 .5524 .5581 13.000 .5314 .5404 .5479 .5542 .5597 14.000 .5330 .5419 .5493 .5555 .5610

15.000 .5341 .5430 .5503 .5565 .5618 16.000 .5349 .5438 .5510 .5571 .5625

17.000 .5355 .5443 .5515 .5576 .5629 18.000 .5359 .5447 .5518 .5579 .5631 19.000 .5361 .5449 .5520 .5581 .5632

20.000 .5363 .5450 .5521 .5581 .5632 22.000 .5363 .5450 .5521 .5580 .5631 24.000 .5361 .5448 .5518 .5577 .5627 26.000 .5358 .5444 .5514 .5572 .5622 28.000 .5354 .5440 .5509 .5567 .5616

30.000 .5349 .5434 .5503 .5561 .5610 32.000 .5344 .5429 .5498 .5555 .5603 34.000 .5338 .5423 .5492 .5549 .5597 36.000 .5333 .5418 .5486 .5542 .5590 38.000 .5327 .5412 .5480 .5536 .5584

40.000 .5322 .5407 .5474 .5530 .5577 45.000 .5309 .5393 .5460 .5515 .5562 50.000 .5297 .5380 .5447 .5501 .5548 55.000 .5285 .5368 .5434 .5489 .5534 60.000 .5275 .5357 .5423 .5477 .5522

65.000 .5265 .5347 .5412 .5466 .5511 70.000 .5256 .5338 .5402 .5455 .5500 75.000 .5247 .5329 .5393 .5446 .5490 80.000 .5239 .5321 .5384 .5437 .5481 85.000 .5232 .5313 .5376 .5428 .5472

90.000 .5225 .5306 .5369 .5420 .5464 95.000 .5218 .5299 .5362 .5413 .5456 100.000 .5212 .5292 .5355 .5406 .5449 125.000 .5185 .5265 .5326 .5376 .5418 150.000 .5165 .5243 .5303 .5352 .5393

175.000 .5148 .5225 .5284 .5332 .5373 200.000 .5134 .5210 .5269 .5316 .5356
Thermal diffusion factor for the (11, 6, 8 ) potential function

T*

y

0. 0.5 1.0 1.5 2.0 2.5 3.0

.100 .2847 .2921 .3063 .3259 .3488 .3708 .3934

.150 .2513 .2658 .2922 .3035 .3205 .3461 .3762

.200 .1976 .2217 .2407 .2634 .2904 .3126 .3401

.250 .1316 .1558 .1833 .2091 .2365 .2651 .2939

.300 .0679 .0961 .1249 .1508 .1817 .2137 .2401

.350 .0156 .0444 .0730 .1018 .1320 .1627 .1935

.400 -.0269 .0020 .0342 .0626 .0918 .1209 .1511 .450 -.0533 -.0240 .0041 .0283 .0585 .0892 .1195

.500 -.0729 -.0496 -.0194 .0100 .0383 .0665 .0912

.550 -.0844 -.0562 -.0319 -.0077 .0192 .0483 .0746

.600 -.0912 -.0643 -.0384 -.0114 .0118 .0388 .0614

.650 -.0942 -.0702 -.0425 -.0164 .0085 .0324 .0566

.700 -.0792 -.0626 -.0433 -.0193 .0065 .0319 .0547

.750 -.0749 -.0484 -.0294 -.0134 .0060 .0297 .0543

.800 -.0680 -.0453 -.0208 .0018 .0176 .0351 .0534

.850 -.0568 -.0375 -.0160 .0067 .0305 .0479 .0631

.900 -.0391 -.0229 -.0064 .0136 .0351 .0541 .0770

.950 -.0252 -.0070 .0099 .0240 .0427 .0634 .0825

1.000 -.0134 .0069 .0238 .0405 .0538 .0714 .0889

1.100 .0080 .0257 .0464 .0665 .0820 .0962 .1100

1.200 .0410 .0558 .0689 .0837 .1023 .1207 .1358

1.300 .0752 .0876 .0992 .1119 .1232 .1369 .1528

1.400 .1006 .1161 .1294 .1407 .1510 .1617 .1717

1.500 .1246 .1390 .1533 .1665 .1781 .1869 .1972

1.600 .1496 .1620 .1744 .1873 .1998 .2114 .2215

1.700 .1724 .1847 .1963 .2072 .2186 .2298 .2411 1.800 .1948 .2058 .2165 .2277 .2375 .2475 .2577

1.900 .2151 .2261 .2364 .2459 .2563 .2654 .2740 2.000 .2342 .2450 .2550 .2644 .2731 .2818 .2909 2.200 .268C .2783 .2881 .2971 .3053 .3134 .3210

2.400 .2995 .3080 .3164 .3250 .3331 .3405 .3475 2.600 .3259 .3350 .3431 .3500 .3571 .3642 .3710 2.800 .3481 .3572 .3653 .3730 .3795 .3855 .3913 3.000 .3675 .3761 .3842 .3918 .3983 .4046 .4102 3.200 .3853 .3932 .4007 .4078 .4146 .4209 .4267

3.400 .4015 .4089 .4157 .4223 .4285 .4347 .4406 3.600 .4155 .4229 .4296 .4357 .4414 .4470 .4524 3.800 .4277 .4352 .4418 .4478 .4533 .4583 .4633 4.000 .4388 .4459 .4525 .4586 .4640 .4689 .4735 4.500 .4620 .4688 .4749 .4803 .4855 .4904 .4950

5.000 .4793 .4860 .4920 .4974 .5024 .5068 .5110 5.500 .4928 .4993 .5051 .5104 .5154 .5197 .5239 6.000 .5037 .5100 .5156 .5207 .5254 .5298 .5339 6.500 .5126 .5187 .5241 .5291 .5336 .5378 .5417 7.000 .5200 .5259 .5311 .5359 .5404 5444 .5482

7.500 .5261 .5319 .5371 .5417 .5460 .5500 .5536 8.000 .5311 .5369 .5420 .5466 .5507 .5546 .5581 8.500 .5352 .5409 .5460 .5506 .5547 .5585 .5619 9.000 .5387 .5443 .5493 .5539 .5580 .5618 .5652 9.500 .5417 .5472 .5522 .5566 .5608 .5645 .5679

76
Thermal diffusion factor for the {11, 6, 8) potential function — Continued

T* y

0. 0.5 1.0 1.5 2.0 2.5 3.0

10.000 .5441 .5497 .5546 .5590 .5630 .5668 .5702 11.000 .5480 .5535 .5584 .5627 .5667 .5703 .5736 12.000 .5508 .5563 .5611 .5654 .5693 .5728 .5762 13.000 .5530 .5584 .5631 .5673 .5712 .5748 .5780 14.000 .5547 .5600 .5646 .5688 .5726 .5761 .5793

15.000 .5559 .5612 .5658 .5699 .5737 .5771 .5802 16.000 .5568 .5621 .5666 .5707 .5744 .5778 .5809 17.000 .5575 .5627 .5673 .5713 .5750 .5783 .5814 18.000 .5581 .5632 .5677 .5718 .5754 .5787 .5817 19.000 .5584 .5636 .5681 .5720 .5756 .5789 .5819

20.000 .5587 .5638 .5683 .5722 .5758 .5790 .5820 22.000 .5590 .5640 .5684 .5723 .5758 .5790 .5820 24.000 .5590 .5640 .5683 .5722 .5757 .5788 .5817 26.000 .5588 .5638 .5681 .5720 .5754 .5785 .5814 28.000 .5586 .5635 .5678 .5716 .5750 .5781 .5809

30.000 .5582 .5631 .5674 .5712 .5745 .5776 .5804 32.000 .5579 .5628 .5670 .5707 .5740 .5771 .5799 34.000 .5575 .5623 .5666 .5703 .5735 .5766 .5793 36.000 .5571 .5619 .5661 .5698 .5730 .5760 .5787 38.000 .5567 .5615 .5656 .5693 .5725 .5755 .5782

40.000 .5563 .5610 .5652 .5688 .5720 .5750 .5776 45.000 .5552 .5600 .5640 .5676 .5708 .5737 .5763 50.000 .5542 .5589 .5630 .5665 .5696 .5725 .5751 55.000 .5533 .5580 .5619 .5655 .5686 .5714 .5739 60.000 .5525 .5571 .5610 .5645 .5675 .5703 .5728

65.000 .5517 .5562 .5601 .5636 .5666 .5693 .5718 70.000 .5509 .5554 .5593 .5627 .5657 .5684 .5709 75.000 .5502 .5547 .5586 .5619 .5649 .5676 .5700 80.000 .5496 .5540 .5578 .5612 .5641 .5668 .5692 85.000 .5490 .5534 .5572 .5605 .5634 .5661 .5684

90.000 .5484 .5528 .5565 .5598 .5628 .5654 .5677 95.000 .5479 .5522 .5559 .5592 .5621 .5647 .5670 100.000 .5473 .5517 .5554 .5586 .5615 .5641 .5664 125.000 .5452 .5494 .5530 .5561 .5589 .5614 .5637 150.000 .5435 .5476 .5511 .5542 .5569 .5593 .5615

175.000 .5421 .5462 .5496 .5526 .5552 .5576 .5597 200.000 .5410 .5449 .5483 .5512 .5538 .5561 .5582

77

498-740 O 74-6
Thermal diffusion factor for the (12, 6, 8) potential function

T* y

0. 0.5 1.0 1.5 2.0 2.5

.100 .2887 .3016 .3227 .3487 .3722 .4022

.150 .2621 .2854 .3027 .3296 .3583 .3868

.200 .2170 .2424 .2730 .2970 .3289 .3633

.250 .1582 .1900 .2219 .2524 .2876 .3222

.300 .1007 .1336 .1661 .2029 .2394 .2765

.350 .0507 .0855 .1182 .1573 .1942 .2319

.400 .0114 .0498 .0803 .1182 .1546 .1930

.450 -.0170 .0168 .0469 .0902 .1231 .1597

.500 -.0359 -.0014 .0272 .0647 .0986 .1352

.550 -.0481 -.0149 .0113 .0515 .0848 .1166

.600 -.0522 -.0203 .0077 .0392 .0711 .1043

.650 -.0529 -.0240 .0065 .0381 .0669 .0946

.700 -.0494 -.0273 .0057 .0367 .0643 .0934

.750 -.0425 -.0159 .0089 .0360 .0656 .0937

.800 -.0329 -.0024 .0205 .0401 .0662 .0946

.850 -.0223 .0032 .0220 .0544 .0729 .0951 .900 -.0117 .0118 .0388 .0650 .0870 .1050

.950 .0013 .0241 .0501 .0703 .0963 .1179

1.000 .0159 .0400 .0593 .0782 .1018 .1248

1.100 .0436 .0655 .0851 .1060 .1207 .1399

1.200 .0703 .0848 .1068 .1298 .1473 .1633

1.300 .0988 .1142 .1328 .1454 .1667 .1859 1.400 .1262 .1442 .1515 .1708 .1835 .2008

1.500 .1507 .1694 .1842 .1964 .2087 .2202

1.600 .1743 .1904 .2058 .2210 .2326 .2426

1.700 .1972 .2113 .2257 .2399 .2535 .2649

1.800 .2190 .2319 .2452 .2572 .2705 .2829

1.900 .2391 .2511 .2615 .2751 .2864 .2982 2.000 .2573 .2695 .2815 .2924 .3028 .3129 2.200 .2905 .3025 .3131 .3233 .3325 .3420

2.400 .3204 .3308 .3409 .3507 .3593 .3678 2.600 .3466 .3566 .3658 .3744 .3829 .3905 2.800 .3694 .3790 .3878 .3955 .4032 .4106 3.000 .3886 .3983 .4058 .4152 .4217 .4282 3.200 .4055 .4146 .4233 .4313 .4384 .4445

3.400 .4208 .4294 .4376 .4451 .4523 .4584 3.600 .4346 .4430 .4504 .4574 .4642 .4707 3.800 .4472 .4553 .4624 .4688 .4750 .4811 4.000 .4582 .4661 .4731 .4794 .4851 .4906 4.500 .4811 .4882 .4949 .5010 .5067 .5116

5.000 .4984 .5055 .5115 .5175 .5227 .5276 5.500 .5117 .5188 .5251 .5306 .5357 .5402 6.000 .5225 .5293 .5353 .5408 .5458 .5502 6.500 .5314 .5379 .5437 .5489 .5537 .5582 7.000 .5387 .5450 .5506 .5557 .5603 .5645

7.500 .5448 .5509 .5564 .5613 .5658 .5699 8.000 .5498 .5559 .5613 .5660 .5704 .5744 8.500 .5540 .5601 .5654 .5700 .5743 .5782 9.000 .5576 .5635 .5688 .5734 .5776 .5814 9.500 .5606 .5664 .5717 .5763 .5804 .5841

78
Thermal diffusion factor for the (12, 6, 8) potential function — Continued

79
Thermal diffusion factor for the (13, 6, 8 ) potential function

1 *

0. 0.4 0.8 1.0 1.5 2.0

.100 .2884 .3067 .3292 .3351 .3598 .3922

.150 .2727 .2837 .3074 .3193 .3475 .3846

.200 .2309 .2538 .2770 .2919 .3259 .3607

.250 .1802 .2068 .2348 .2494 .2880 .3276

.300 .1256 .1558 .1882 .2021 .2456 .2866

.350 .0795 .1102 .1438 .1603 .2018 .2449

.400 .0453 .0735 .1068 .1239 .1646 .2088

.450 .0138 .0440 .0800 .0977 .1368 .1782

.500 -.0029 .0275 .0584 .0719 .1136 .1560

.550 -.0156 .0115 .0455 .0605 .0995 .1348

.600 -.0219 .0078 .0358 .0482 .0887 .1259

.650 -.0228 .0060 .0348 .0481 .0810 .1160

.700 -.0248 .0054 .0343 .0478 .0821 .1140

.750 -.0130 .0081 .0343 .0484 .0823 .1136

.800 .0014 .0221 .0404 .0510 .0836 .1162

.850 .0068 .0316 .0555 .0639 .0873 .1179

.900 .0155 .0399 .0649 .0778 .1001 .1221

.950 .0288 .0492 .0717 .0833 .1136 .1340

1.000 .0454 .0624 .0802 .0910 .1185 .1470

1.100 .0709 .0911 .1092 .1170 .1350 .1593

1.200 .0907 .1110 .1331 .1426 .1630 .1788

1.300 .1211 .1357 .1497 .1592 .1838 .2032

1.400 .1511 .1620 .1762 .1822 .1988 .2212

1.500 .1764 .1909 .2025 .2079 .2221 .2357

1.600 .1977 .2127 .2268 .2329 .2454 .2580

1.700 .2189 .2322 .2458 .2526 .2677 .2789

1.800 .2397 .2520 .2636 .2698 .2852 .2991 1.900 .2590 .2704 .2820 .2871 .3008 .3148 2.000 .2775 .2885 .2991 .3045 .3163 .3288 2.200 .3109 .3210 .3305 .3352 .3461 .3570

2.400 .3393 .3492 .3582 .3625 .3725 .3821 2.600 .3652 .3737 .3822 .3864 .3959 .4046 2.800 .3879 .3964 .4036 .4071 .4162 .4246 3.000 .4072 .4153 .4233 .4266 .4342 .4420 3.200 .4236 .4319 .4395 .4428 .4510 .4576

3.400 .4385 .4462 .4534 .4570 .4649 .4722 3.600 .4523 .4593 .4659 .4691 .4771 .4841 3.800 .4647 .4714 .4775 .4805 .4876 .4947 4.000 .4756 .4823 .4882 .4910 .4975 .5039 4.500 .4979 .5042 .5100 .5128 .5191 .5245

5.000 .5154 .5214 .5268 .5292 .5352 .5407 5.500 .5289 .5348 .5400 .5425 .5481 .5530 6.000 .5396 .5452 .5504 .5528 .5583 .5633 6.500 .5483 .5538 .5587 .5610 .5664 .5713 7.000 .5556 .5609 .5656 .5678 .5730 .5777

7.500 .5617 .5668 .5714 .5735 .5785 .5830 8.000 .5668 .5718 .5763 .5783 .5832 .5876 8.500 .5711 .5761 .5804 .5824 .5871 .5914 9.000 .5747 .5796 .5839 .5859 .5905 .5946 9.500 .5777 .5826 .5869 .5889 .5934 .5974

80
Thermal diffusion factor for the {13, 6, 8) potential function — Continued

y

1 *

0. 0.4 0.8 1.0 1.5 2.0

10.000 .5804 .5851 .5894 .5913 .5959 .5998 11.000 .5846 .5892 .5933 .5952 .5997 .6036 12.000 .5877 .5923 .5963 .5982 .6025 .6063 13.000 .5901 .5946 .5986 .6004 .6046 .6084 14.000 .5919 .5963 .6002 .6020 .6062 .6100

15.000 .5934 .5977 .6016 .6033 .6074 .6111 16.000 .5946 .5988 .6026 .6043 .6084 .6120 17.000 .5955 .5997 .6034 .6051 .6091 .6126 18.000 .5962 .6004 .6040 .6057 .6096 .6131 19.000 .5968 .6009 .6045 .6062 .6101 .6135

20.000 .5973 .6013 .6049 .6066 .6104 .6138 22.000 .5979 .6018 .6054 .6070 .6107 .6141 24.000 .5982 .6021 .6056 .6072 .6109 .6141 26.000 .5984 .6022 .6057 .6072 .6108 .6140 28.000 .5985 .6022 .6056 .6071 .6107 .6139

30.000 .5984 .6021 .6055 .6070 .6105 .6136 32.000 .5983 .6020 .6053 .6068 .6102 .6133 34.000 .5982 .6018 .6050 .6065 .6099 .6130 36.000 .5980 .6016 .6048 .6063 .6096 .6126 38.000 .5978 .6013 .6045 .6060 .6093 .6123

40.000 .5976 .6011 .6042 .6057 .6090 .6119 45.000 .5970 .6005 .6035 .6049 .6081 .6110 50.000 .5964 .5998 .6028 .6042 .6073 .6101 55.000 .5959 .5992 .6022 .6035 .6066 .6093 60.000 .5954 .5986 .6015 .6028 .6059 .6085

65.000 .5949 .5981 .6009 .6022 .6052 .6078 70.000 .5944 .5976 .6004 .6016 .6046 .6071 75.000 .5939 .5971 .5998 .6011 .6040 .6065 80.000 .5935 .5966 .5994 .6006 .6034 .6059 85.000 .5931 .5962 .5989 .6001 .6029 .6053

90.000 .5927 .5958 .5984 .5997 .6024 .6048 95.000 .5924 .5954 .5980 .5992 .6019 .6043 100.000 .5921 .5951 .5976 .5988 .6015 .6039 125.000 .5906 .5935 .5960 .5971 .5996 .6019 150.000 .5895 .5923 .5946 .5957 .5981 .6003

175.000 .5886 .5913 .5935 .5946 .5969 .5990 200.000 .5879 .5904 .5926 .5936 .5959 .5979

81
Thermal diffusion factor for the {14, 6, 8) potential function

T* y

0. 0.2 0.4 0.6 0.8 1.0 1.5

.100 .2936 .3035 .3152 .3206 .3296 .3396 .3723

.150 .2703 .2788 .2947 .3064 .3201 .3292 .3661

.200 .2421 .2567 .2655 .2814 .2941 .3093 .3464

.250 .1952 .2098 .2252 .2409 .2579 .2742 .3162

.300 .1465 .1626 .1806 .1956 .2144 .2340 .2788

.350 .1020 .1211 .1386 .1574 .1751 .1914 .2421

.400 .0668 .0860 .1036 .1221 .1395 .1576 .2065

.450 .0397 .0586 .0787 .0973 .1130 .1319 .1777

.500 .0249 .0429 .0576 .0731 .0910 .1101 .1577

.550 .0088 .0269 .0465 .0633 .0802 .0979 .1369

.600 .0073 .0223 .0372 .0517 .0691 .0881 .1287

.650 .0055 .0204 .0377 .0522 .0672 .0817 .1207

.700 .0055 .0216 .0376 .0528 .0660 .0833 .1206

.750 .0090 .0219 .0385 .0541 .0694 .0846 .1198

.800 .0245 .0344 .0448 .0569 .0712 .0865 .1229

.850 .0357 .0501 .0605 .0699 .0800 .0909 .1252

.900 .0417 .0558 .0709 .0848 .0950 .1041 .1296

.950 .0513 .0641 .0775 .0904 .1040 .1178 .1416

1.000 .0665 .0753 .0864 .0984 .1114 .1234 .1537 1.100 .0959 .1057 .1161 .1246 .1322 .1407 .1690

1.200 .1153 .1278 .1403 .1508 .1589 .1689 .1875

1.300 .1408 .1482 .1572 .1680 .1794 .1905 .2104

1.400 .1693 .1771 .1840 .1906 .1976 .2059 .2308

1.500 .1971 .2046 .2104 .2169 .2232 .2294 .2459

1.600 .2191 .2272 .2350 .2418 .2478 .2527 .2674

1.700 .2387 .2464 .2542 .2618 .2689 .2755 .2870

1.800 .2589 .2654 .2722 .2792 .2862 .2932 .3087

1.900 .2779 .2846 .2906 .2965 .3026 .3089 .3246 2.000 .2957 .3014 .3080 .3139 .3193 .3246 .3388 2.200 .3286 .3341 .3394 .3446 .3496 .3545 .3668

2.400 .3570 .3623 .3673 .3721 .3766 .3811 .3916 2.600 .3817 .3865 .3914 .3961 .4005 .4047 .4145

2.800 .4048 .4089 .4128 .4169 .4210 .4251 .4345 3.000 .4239 .4283 .4326 .4363 .4398 .4432 .4520 3.200 4403 .4448 .4490 .4527 .4565 .4601 .4676

3.400 .4547 .4588 .4630 .4669 .4707 .4739 .4820 3.600 .4681 .4718 .4755 .4791 .4828 .4863 .4937 3.800 .4803 .4838 .4872 .4905 .4938 .4969 .5049 4.000 .4913 .4947 .4980 .5010 .5040 .5069 .5141 4.500 .5133 .5167 .5199 .5230 .5259 .5286 .5347

5.000 .5309 .5340 .5368 .5395 .5422 .5448 .5510 5.500 .5443 .5474 .5502 .5529 .5555 .5579 .5635 6.000 .5550 .5579 .5607 .5634 .5659 .5683 .5737 6.500 .5637 .5665 .5692 .5717 .5741 .5765 .5819 7.000 .5709 .5737 .5762 .5787 .5810 .5832 .5884

7.500 .5770 .5797 .5821 .5845 .5867 .5889 .5938 8.000 .5822 .5847 .5871 .5894 .5916 .5936 .5985 8.500 .5866 .5891 .5914 .5936 .5957 .5977 .6024 9.000 .5902 .5927 .5950 .5972 .5992 .6012 .6057 9.500 .5933 .5958 .5981 .6002 .6023 .6042 .6086

82
Thermal diffusion factor for the (14, 6, 8) potential function — Continued

T* y

0. 0.2 0.4 0.6 0.8 1.0 1.5

10.000 .5960 .5984 .6007 .6028 .6048 .6067 .6111 11.000 .6003 .6027 .6048 .6069 .6089 .6107 .6151 12.000 .6036 .6059 .6080 .6100 .6119 .6137 .6179 13.000 .6060 .6083 .6104 .6124 .6143 .6160 .6201 14.000 .6080 .6102 .6123 .6142 .6161 .6178 .6218

15.000 .6096 .6117 .6137 .6156 .6174 .6192 .6231 16.000 .6108 .6129 .6149 .6168 .6186 .6202 .6241 17.000 .6119 .6139 .6159 .6177 .6194 .6211 .6249 18.000 .6127 .6147 .6166 .6184 .6201 .6218 .6255 19.000 .6133 .6153 .6172 .6190 .6207 .6223 .6260

20.000 .6139 .6158 .6177 .6195 .6211 .6227 .6263 22.000 .6147 .6166 .6184 .6201 .6218 .6233 .6268 24.000 .6152 .6170 .6188 .6205 .6221 .6236 .6271 26.000 .6155 .6173 .6191 .6207 .6223 .6238 .6271 28.000 .6156 .6174 .6192 .6208 .6223 .6238 .6271

30.000 .6157 .6175 .6192 .6208 .6223 .6237 .6270 32.000 .6157 .6174 .6191 .6207 .6222 .6236 .6268 34.000 .6157 .6174 .6190 .6206 .6220 .6234 .6266 36.000 .6156 .6173 .6189 .6204 .6219 .6232 .6264 38.000 .6155 .6171 .6187 .6203 .6217 .6230 .6261

40.000 .6153 .6170 .6186 .6201 .6215 .6228 .6259 45.000 .6150 .6166 .6181 .6196 .6209 .6222 .6252 50.000 .6145 .6161 .6176 .6191 .6204 .6217 .6245 55.000 .6141 .6157 .6172 .6186 .6199 .6211 .6239 60.000 .6137 .6153 .6167 .6181 .6193 .6205 .6233

65.000 .6133 .6149 .6163 .6176 .6188 .6200 .6227 70.000 .6130 .6145 .6159 .6172 .6184 .6195 .6222 75.000 .6126 .6141 .6155 .6167 .6179 .6191 .6217 80.000 .6123 .6138 .6151 .6164 .6175 .6186 .6212 85.000 .6120 .6134 .6148 .6160 .6171 .6182 .6207

90.000 .6117 .6131 .6144 .6156 .6168 .6179 .6203 95.000 .6114 .6128 .6141 .6153 .6164 .6175 .6199 100.000 .6111 .6125 .6138 .6150 .6161 .6171 .6195 125.000 .6100 .6113 .6125 .6136 .6147 .6157 .6179 150.000 .6091 .6104 .6115 .6126 .6136 .6145 .6166

175.000 .6084 .6096 .6107 .6117 .6126 .6135 .6156 200.000 .6078 .6089 .6100 .6110 .6119 .6127 .6147

83
Thermal diffusion factor for the (15, 6, 8) potential function

T* y

0. 0.2 0.4 0.6 0.8 1.0 1.5

.100 .2970 .3047 .3127 .3221 .3336 .3471 .3837

.150 .2719 .2885 .3028 .3144 .3280 .3402 .3748

.200 .2480 .2624 .2766 .2918 .3075 .3213 .3768

.250 .2046 .2241 .2414 .2588 .2766 .2928 .3529

.300 .1669 .1811 .1986 .2192 .2382 .2573 .3126

.350 .1255 .1427 .1625 .1813 .2013 .2204 .2702

.400 .0902 .1094 .1283 .1487 .1690 .1889 .2452

.450 .0605 .0868 .1040 .1228 .1423 .1626 .2037

.500 .0474 .0642 .0825 .1034 .1226 .1447 .1820

.550 .0335 .0553 .0739 .0910 .1096 .1260 .1570

.600 .0329 .0451 .0629 .0831 .1001 .1201 .1611

.650 .0272 .0474 .0627 .0801 .0969 .1122 .1397

.700 .0313 .0479 .0638 .0790 .0951 .1127 .1506

.750 .0294 .0498 .0665 .0838 .0990 .1139 .1553

.800 .0443 .0547 .0686 .0882 .1034 .1179 .1398

.850 .0559 .0698 .0802 .0954 .1091 .1211 .1594

.900 .0612 .0831 .0963 .1042 .1176 .1272 .1648

.950 .0782 .0891 .1038 .1140 .1267 .1408 .1731 1.000 .0868 .0980 .1112 .1249 .1368 .1543 .1838

1.100 .1107 .1268 .1354 .1455 .1572 .1673 .1844

1.200 .1389 .1521 .1626 .1697 .1793 .1895 .2240

1.300 .1608 .1693 .1815 .1938 .2037 .2142 .2318

1.400 .1850 .1947 .2017 .2149 .2240 .2323 .2466

1.500 .2144 .2208 .2285 .2367 .2446 .2482 .2708

1.600 .2376 .2460 .2531 .2586 .2657 .2716 .2954

1.700 .2572 .2659 .2739 .2792 .2865 .2930 .3053

1.800 .2764 .2836 .2914 .2972 .3042 .3133 .3192

1.900 .2948 .3016 .3082 .3146 .3209 .3292 .3433 2.000 .3105 .3192 .3254 .3314 .3372 .3436 .3577 2.200 .3447 .3504 .3560 .3622 .3676 .3725 .3865

2.400 .3727 .3783 .3834 .3887 .3940 .3980 .4058 2.600 .3972 .4024 .4074 .4118 .4164 .4208 .4319 2.800 .4195 .4236 .4281 .4327 .4368 .4412 .4504

3.000 .4378 .4434 .4473 .4513 .4551 .4587 .4672 3.200 .4555 .4598 .4641 .4676 .4713 .4746 .4832

3.400 .4697 .4740 .4782 .4819 .4855 .4894 .4979 3.600 .4825 .4865 .4904 .4944 .4981 .5014 .5079 3.800 .4945 .4981 .5017 .5054 .5088 .5121 .5156 4.000 .5054 .5088 .5121 .5154 .5186 .5215 .5292 4.500 .5275 .5309 .5342 .5369 .5397 .5426 .5489

5.000 .5447 .5478 .5507 .5537 .5564 .5590 .5647 5.500 .5584 .5613 .5642 .5669 .5694 .5717 .5774 6.000 .5690 .5720 .5747 .5774 .5798 .5822 .5878 6.500 .5777 .5805 .5832 .5857 .5881 .5904 .5942 7.000 .5850 .5877 .5902 .5925 .5948 .5971 .6022

7.500 .5910 .5936 .5961 .5984 .6006 .6027 .6076 8.000 .5962 .5987 .6010 .6033 .6054 .6075 .6122 8.500 .6006 .6030 .6053 .6075 .6096 .6115 .6161 9.000 .6044 .6067 .6090 .6111 .6131 .6150 .6194 9.500 .6076 .6099 .6121 .6142 .6161 .6180 .6224

84
Thermal diffusion factor for the (15, 6, 8) potential function — Continued

y

1 *

0. 0.2 0.4 0.6 0.8 1.0 1.5

10.000 .6103 .6126 .6148 .6168 .6187 .6206 .6248 11.000 .6147 .6169 .6190 .6210 .6229 .6247 .6288 12.000 .6180 .6202 .6223 .6242 .6261 .6278 .6318 13.000 .6206 .6228 .6248 .6267 .6285 .6302 .6342 14.000 .6227 .6248 .6267 .6286 .6304 .6320 .6357

15.000 .6243 .6263 .6283 .6301 .6318 .6335 .6372 16.000 .6256 .6276 .6295 .6313 .6330 .6346 .6383 17.000 .6267 .6287 .6305 .6323 .6339 .6355 .6391 18.000 .6276 .6296 .6314 .6331 .6347 .6362 .6398 19.000 .6284 .6303 .6321 .6337 .6353 .6368 .6403

20.000 .6290 .6308 .6326 .6343 .6358 .6373 .6407 22.000 .6299 .6317 .6334 .6350 .6366 .6380 .6413 24.000 .6305 .6323 .6340 .6355 .6370 .6384 .6417 26.000 .6309 .6327 .6343 .6358 .6373 .6387 .6419 28.000 .6312 .6329 .6345 .6360 .6374 .6388 .6419

30.000 .6314 .6330 .6346 .6361 .6375 .6388 .6419 32.000 .6314 .6331 .6346 .6361 .6375 .6388 .6418 34.000 .6315 .6331 .6346 .6361 .6374 .6387 .6416 36.000 .6315 .6331 .6346 .6360 .6373 .6386 .6415 38.000 .6315 .6330 .6345 .6359 .6372 .6384 .6413

40.000 .6314 .6330 .6344 .6358 .6371 .6383 .6411 45.000 .6312 .6327 .6341 .6354 .6367 .6379 .6406 50.000 .6309 .6324 .6338 .6351 .6363 .6374 .6400 55.000 .6307 .6321 .6334 .6347 .6358 .6370 .6395 60.000 .6304 .6318 .6331 .6343 .6354 .6365 .6390

65.000 .6301 .6315 .6327 .6339 .6350 .6361 .6385 70.000 .6298 .6312 .6324 .6336 .6347 .6357 .6381 75.000 .6296 .6309 .6321 .6332 .6343 .6353 .6376 80.000 .6293 .6306 .6318 .6329 .6340 .6350 .6372 85.000 .6291 .6303 .6315 .6326 .6336 .6346 .6369

90.000 .6289 .6301 .6312 .6323 .6333 .6343 .6365 95.000 .6286 .6299 .6310 .6321 .6330 .6340 .6362 100.000 .6284 .6296 .6308 .6318 .6328 .6337 .6358 125.000 .6275 .6287 .6297 .6307 .6316 .6325 .6345 150.000 .6268 .6279 .6289 .6298 .6306 .6315 .6334

175.000 .6262 .6272 .6282 .6291 .6299 .6307 .6325 200.000 .6257 .6267 .6276 .6284 .6292 .6300 .6317

85
Thermal diffusion factor for the (16, 6, 8) potential function

T* y

0. 0.2 0.4 0.6 0.8 1.0

.100 .2963 .3043 .3125 .3251 .3358 .3505

.150 .2805 .3001 .3052 .3160 .3331 .3486

.200 .2554 .2838 .2859 .3004 .3174 .3404

.250 .2187 .2398 .2567 .2705 .2903 .3109

.300 .1773 .1952 .2182 .2369 .2569 .2776

.350 .1408 .1614 .1786 .2019 .2228 .2427

.400 .1090 .1264 .1493 .1718 .1933 .2148

.450 .0877 .1049 .1270 .1467 .1683 .1895

.500 .0660 .0825 .1062 .1309 .1504 .1706

.550 .0581 .0698 .0991 .1142 .1341 .1556

.600 .0486 .0671 .0890 .1092 .1288 .1468

.650 .0517 .0626 .0870 .1021 .1217 .1422

.700 .0527 .0646 .0873 .1044 .1217 .1370

.750 .0552 .0738 .0910 .1072 .1244 .1405

.800 .0604 .0766 .0941 .1113 .1282 .1438

.850 .0757 .0912 .0999 .1152 .1319 .1484

.900 .0897 .0972 .1138 .1245 .1371 .1526

.950 .0958 .1033 .1263 .1398 .1499 .1605

1.000 .1050 .1232 .1331 .1511 .1645 .1742

1.100 .1340 .1443 .1535 .1655 .1787 .1923

1.200 .1596 .1631 .1801 .1912 .1992 .2086

1.300 .1774 .1904 .2039 .2154 .2251 .2345

1.400 .2027 .2169 .2207 .2320 .2441 .2555

1.500 .2289 .2306 .2445 .2508 .2592 .2698

1.600 .2543 .2611 .2665 .2753 .2817 .2873

1.700 .2744 .2819 .2908 .2975 .3032 .3095

1.800 .2923 .3003 .3088 .3167 .3237 .3295

1.900 .3102 .3184 .3250 .3326 .3401 .3471 2.000 .3279 .3346 .3410 .3475 .3545 .3615 2.200 .3592 .3661 .3704 .3774 .3827 .3880

2.400 .3872 .3925 .3980 .4032 .4080 .4134 2.600 .4114 .4163 .4217 .4265 .4310 .4356 2.800 .4326 .4379 .4423 .4470 .4514 .4554 3.000 .4525 .4570 .4607 .4647 .4689 .4730 3.200 .4689 .4706 .4775 .4811 .4846 .4883

3.400 .4833 .4877 .4913 .4958 .4993 .5024 3.600 .4958 .5002 .5042 .5081 .5115 .5152 3.800 .5074 .5116 .5150 .5187 .5224 .5258 4.000 .5182 .5217 .5251 .5284 .5317 .5351 4.500 .5405 .5437 .5470 .5499 .5526 .5552

5.000 .5574 .5608 .5635 .5664 .5692 .5718 5.500 .5711 .5734 .5768 .5794 .5818 .5843 6.000 .5818 .5848 .5874 .5900 .5924 .5946 6.500 .5905 .5933 .5959 .5984 .6008 .6029 7.000 .5978 .6004 .6029 .6053 .6075 .6097

7.500 .6038 .6064 .6088 .6110 .6132 .6153 8.000 .6090 .6115 .6137 .6159 .6180 .6200 8.500 .6134 .6158 .6180 .6201 .6221 .6241 9.000 .6172 .6195 .6217 .6237 .6257 .6275 9.500 .6205 .6227 .6248 .6268 .6287 .6305

86
Thermal diffusion factor for the (16, 6, 8) potential function — Continued

T* y

0. 0.2 0.4 0.6 0.8 1.0

10.000 .6233 .6255 .6276 .6295 .6314 .6331 11.000 .6277 .6299 .6319 .6339 .6357 .6374 12.000 .6312 .6332 .6353 .6371 .6389 .6406 13.000 .6339 .6360 .6378 .6397 .6414 .6430 14.000 .6360 .6380 .6399 .6417 .6433 .6449

15.000 .6377 .6397 .6415 .6432 .6449 .6464 16.000 .6392 .6410 .6428 .6445 .6461 .6476 17.000 .6403 .6422 .6439 .6456 .6471 .6486 18.000 .6413 .6431 .6448 .6464 .6480 .6494 19.000 .6421 .6439 .6455 .6471 .6486 .6501

20.000 .6428 .6445 .6462 .6477 .6492 .6506 22.000 .6438 .6455 .6471 .6486 .6500 .6514 24.000 .6445 .6462 .6477 .6492 .6506 .6519 26.000 .6450 .6467 .6482 .6496 .6510 .6523 28.000 .6454 .6470 .6485 .6499 .6512 .6525

30.000 .6457 .6472 .6487 .6500 .6513 .6526 32.000 .6458 .6474 .6488 .6501 .6514 .6526 34.000 .6460 .6474 .6488 .6502 .6514 .6526 36.000 .6460 .6475 .6489 .6502 .6514 .6525 38.000 .6461 .6475 .6488 .6501 .6513 .6525

40.000 .6461 .6475 .6488 .6501 .6512 .6524 45.000 .6460 .6474 .6486 .6498 .6510 .6521 50.000 .6459 .6472 .6484 .6496 .6507 .6517 55.000 .6457 .6470 .6482 .6493 .6504 .6514 60.000 .6455 .6468 .6479 .6490 .6501 .6510

65.000 .6453 .6465 .6477 .6487 .6497 .6507 70.000 .6451 .6463 .6474 .6485 .6494 .6504 75.000 .6449 .6461 .6472 .6482 .6492 .6501 80.000 .6447 .6459 .6469 .6479 .6489 .6498 85.000 .6446 .6457 .6467 .6477 .6486 .6495

90.000 .6444 .6455 .6465 .6475 .6484 .6492 95.000 .6442 .6453 .6463 .6472 .6481 .6490 100.000 .6441 .6451 .6461 .6470 .6479 .6487 125.000 .6434 .6444 .6453 .6461 .6469 .6477 150.000 .6428 .6437 .6446 .6454 .6462 .6469

175.000 .6423 .6432 .6440 .6448 .6455 .6462 200.000 .6419 .6428 .6436 .6443 .6450 .6456

87
Thermal diffusion factor for the {17, 6, 8) potential function

0. 0.2 0.4 0.6 0.8 1.0

.100 .2948 .3026 .3149 .3270 .3398 .3560

.150 .2873 .2933 .3063 .3190 .3383 .3557

.200 .2639 .2764 .2910 .2999 .3321 .3434

.250 .2283 .2466 .2633 .2842 .3033 .3235

.300 .1900 .2116 .2312 .2529 .2735 .2948

.350 .1553 .1744 .1976 .2249 .2416 .2649

.400 .1242 .1457 .1691 .1922 .2143 .2365

.450 .1039 .1246 .1456 .1728 .1905 .2134

.500 .0834 .1066 .1314 .1504 .1731 .1944

.550 .0757 .0980 .1152 .1338 .1579 .1833

.600 .0679 .0909 .1111 .1288 .1516 .1693

.650 .0681 .0873 .1051 .1234 .1454 .1670

.700 .0699 .0906 .1076 .1276 .1429 .1625

.750 .0753 .0940 .1107 .1261 .1456 .1636

.800 .0776 .0977 .1160 .1339 .1484 .1679

.850 .0907 .1036 .1203 .1379 .1555 .1723

.900 .1057 .1178 .1295 .1437 .1597 .1765

.950 .1130 .1324 .1448 .1575 .1678 .1812

1.000 .1248 .1391 .1569 .1670 .1811 .1914

1.100 .1480 .1586 .1722 .1888 .1989 .2166

1.200 .1747 .1874 .1973 .2077 .2179 .2293

1.300 .1962 .2104 .2223 .2256 .2415 .2498

1.400 .2174 .2270 .2396 .2515 .2636 .2733

1.500 .2423 .2510 .2581 .2693 .2789 .2907

1.600 .2682 .2745 .2825 .2909 .2964 .3041

1.700 .2895 .2979 .3049 .3063 .3173 .3235

1.800 .3074 .3162 .3245 .3314 .3370 .3437

1.900 .3245 .3324 .3406 .3479 .3558 .3622 2.000 .3416 .3484 .3555 .3629 .3703 .3775 2.200 .3727 .3786 .3854 .3913 .3969 .4028

2.400 .4001 .4058 .4114 .4153 .4218 .4274 2.600 .4243 .4297 .4347 .4396 .4444 .4490 2.800 .4453 .4504 .4553 .4597 .4642 .4684 3.000 .4645 .4687 .4731 .4775 .4818 .4858 3.200 .4810 .4858 .4895 .4936 .4971 .5010

3.400 .4958 .4998 .5043 .5077 .5112 .5144 3.600 .5081 .5125 .5166 .5188 .5238 .5271 3.800 .5195 .5234 .5273 .5312 .5345 .5381 4.000 .5300 .5335 .5370 .5407 .5441 .5475 4.500 .5523 .5556 .5586 .5614 .5642 .5669

5.000 .5691 .5722 .5753 .5781 .5808 .5833 5.500 .5827 .5857 .5883 .5910 .5935 .5960 6.000 .5936 .5964 .5990 .6014 .6038 .6060 6.500 .6023 .6050 .6076 .6100 .6121 .6145 7.000 .6095 .6121 .6145 .6168 .6191 .6212

7.500 .6156 .6181 .6204 .6226 .6247 .6268 8.000 .6208 .6231 .6254 .6275 .6295 .6315 8.500 .6252 .6275 .6296 .6317 .6336 .6355 9.000 .6290 .6312 .6333 .6353 .6372 .6390 9.500 .6323 .6345 .6365 .6384 .6403 .6420

88
Thermal diffusion factor for the (17, 6, 8) potential function — Continued

T* y

0. 0.2 0.4 0.6 0.8 1.0

10.000 .6352 .6373 .6393 .6412 .6429 .6446 11.000 .6397 .6418 .6438 .6456 .6473 .6489 12.000 .6433 .6453 .6471 .6489 .6506 .6522 13.000 .6461 .6480 .6498 .6515 .6532 .6547 14.000 .6483 .6502 .6520 .6536 .6552 .6567

15.000 .6501 .6519 .6536 .6553 .6568 .6583 16.000 .6515 .6533 .6550 .6566 .6581 .65%

17.000 .6528 .6545 .6562 .6577 .6592 .6606 18.000 .6538 .6555 .6571 .6586 .6601 .6614 19.000 .6546 .6563 .6579 .6594 .6608 .6621

20.000 .6554 .6570 .6586 .6600 .6614 .6627 22.000 .6565 .6581 .65% .6610 .6623 .6636 24.000 .6573 .6589 .6603 .6617 .6630 .6642 26.000 .6580 .6595 .6609 .6622 .6635 .6647 28.000 .6584 .6599 .6612 .6625 .6638 .6649

30.000 .6587 .6602 .6615 .6628 .6640 .6651 32.000 .6590 .6604 .6617 .6629 .6641 .6652 34.000 .6592 .6605 .6618 .6630 .6642 .6653 36.000 .6593 .6606 .6619 .6631 .6642 .6653 38.000 .6594 .6607 .6619 .6631 .6642 .6652

40.000 .6594 .6607 .6619 .6631 .6642 .6652 45.000 .6595 .6607 .6619 .6630 .6640 .6650 50.000 .6595 .6607 .6618 .6628 .6638 .6648 55.000 .6594 .6605 .6616 .6627 .6636 .6645 60.000 .6593 .6604 .6615 .6624 .6634 .6643

65.000 .6592 .6603 .6613 .6622 .6631 .6640 70.000 .6590 .6601 .6611 .6620 .6629 .6638 75.000 .6589 .6599 .6609 .6618 .6627 .6635 80.000 .6588 .6598 .6607 .6616 .6625 .6633 85.000 .6587 .6596 .6606 .6614 .6623 .6630

90.000 .6585 .6595 .6604 .6613 .6621 .6628 95.000 .6584 .6594 .6602 .6611 .6619 .6626 100.000 .6583 .6592 .6601 .6609 .6617 .6624 125.000 .6578 .6586 .6594 .6602 .6609 .6616 150.000 .6573 .6581 .6589 .6596 .6602 .6609

175.000 .6570 .6577 .6584 .6591 .6597 .6603 200.000 .6567 .6574 .6580 .6587 .6593 .6598

89
Thermal diffusion factor for the {18, 6, 8) potential function

T*

0. 0.2 0.4 0.6

.100 .2931 .3042 .3141 .3275

.150 .2827 .2947 .3115 .3261

.200 .2652 .2803 .2971 .3194

.250 .2363 .2527 .2728 .2939

.300 .2018 .2218 .2430 .2647

.350 .1660 .1898 .2123 .2329

.400 .1388 .1632 .1861 .2089

.450 .1183 .1401 .1636 .1869

.500 .1014 .1266 .1487 .1703

.550 .0942 .1122 .1336 .1575

.600 .0876 .1089 .1294 .1501

.650 .0854 .1035 .1255 .1467

.700 .0896 .1072 .1274 .1438

.750 .0931 .1113 .1303 .1478

.800 .0973 .1165 .1353 .1518

.850 .1044 .1213 .1399 .1583

.900 .1196 .1316 .1460 .1632

.950 .1341 .1476 .1591 .1711

1.000 .1413 .1593 .1732 .1849

1.100 .1612 .1752 .1908 .2049

1.200 .1910 .2017 .2110 .2224 1.300 .2136 .2267 .2359 .2475 1.400 .2307 .2439 .2573 .2696

1.500 .2557 .2633 .2733 .2850

1.600 .2798 .2881 .2955 .3020

1.700 .3031 .3107 .3161 .3240

1.800 .3214 .3302 .3379 .3438 1.900 .3378 .3464 .3546 .3625 2.000 .3541 .3615 .3694 .3772 2.200 .3846 .3917 .3978 .4038

2.400 .4120 .4179 .4231 .4293 2.600 .4362 .4414 .4466 .4516 2.800 .4570 .4622 .4670 .4716 3.000 .4755 .4801 .4848 .4893 3.200 .4927 .4967 .5007 .5046

3.400 .5069 .5115 .5153 .5187 3.600 .5195 .5239 .5274 .5316 3.800 .5306 .5347 .5387 .5423 4.000 .5409 .5445 .5482 .5519 4.500 .5631 .5663 .5692 .5721

5.000 .5799 .5831 .5861 .5888 5.500 .5935 .5962 .5989 .6016 6.000 .6044 .6071 .6096 .6120

6.500 .6131 .6158 .6183 .6205 7.000 .6203 .6228 .6252 .6275

7.500 .6264 .6288 .6311 .6332 8.000 .6316 .6339 .6361 .6381 8.500 .6360 .6382 .6403 .6423 9.000 .6399 .6420 .6440 .6459 9.500 .6432 .6453 .6472 .6491

90
Thermal diffusion factor for the (18, 6, 8) potential function — Continued

T*

0. 0.2 0.4 0.6

10.000 .6461 .6481 .6500 .6518 11.000 .6508 .6528 .6546 .6564 12.000 .6544 .6563 .6581 .6598 13.000 .6572 .6591 .6608 .6624 14.000 .6595 .6613 .6630 .6646

15.000 .6614 .6631 .6648 .6663 16.000 .6629 .6646 .6662 .6677 17.000 .6642 .6658 .6674 .6688 18.000 .6653 .6669 .6684 .6698 19.000 .6662 6677 .6692 .6706

20.000 .6670 .6685 .6699 .6713 22.000 .6682 .6697 .6711 .6724 24.000 .6691 .6705 .6719 .6732 26.000 .6698 .6712 .6725 .6737 28.000 .6703 .6717 .6729 .6741

30.000 .6707 .6720 .6733 6745

32.000 .6710 .6723 .6735 .6747 34.000 .6713 .6725 .6737 .6748 36.000 .6714 .6727 .6738 .6749 38.000 .6716 .6728 .6739 .6750

40.000 .6717 .6729 .6740 .6750 45.000 .6719 .6730 .6740 .6751 50.000 .6719 .6730 .6740 .6750 55.000 .6719 .6730 .6739 .6749 60.000 .6719 .6729 .6738 .6747

65.000 .6718 .6728 .6737 .6746 70.000 .6718 .6727 .6736 .6745 75.000 .6717 .6726 .6735 .6743 80.000 .6716 .6725 .6734 .6742 85.000 .6715 .6724 .6732 .6740

90.000 .6714 .6723 .6731 .6739 95.000 .6714 .6722 .6 730 .6737 100.000 .6713 .6721 .6 729 .6736 125.000 .6709 .6716 .6 724 .6730 150.000 .6706 .6713 .6719 .6725

175.000 .6703 .6709 .6716 .6721 200.000 .6701 .6707 .6713 .6718

91
Table 4. Second virial coefficients of the ( m, 6, 8) potential for various values of m and y

Second virial coefficient for the (9, 6, 8) potential function

y

1 * 0. 1. 2 . 3 . 4. 5 .

.275 -44.80076 -43.36624 -42.00102 -40.69814 -39.45177 -38.25697

.300 -35.02381 -33.87575 -32.78115 -31.73461 -30.73162 -29.76838

.325 -28.40491 -27.45356 -26.54507 -25.67510 -24.84001 -24.03674

.350 -23.69279 -22.88338 -22.10936 -21.36714 -20.65371 - 19.96653

.375 -20.20083 - 19.49792 - 18.82495 - 18.17885 - 17.55708 -16.95747

.400 - 17.52751 - 16.90708 - 16.31246 - 15.74100 -15.19048 - 14.65904

.425 - 15.42530 - 14.87044 - 14.33818 - 13.82618 - 13.33250 - 12.85549

.450 - 13.73483 - 13.23323 - 12.75167 -12.28808 -11.84071 - 11.40810

.475 - 12.34955 - 11.89200 -11.45242 - 11.02894 -10.61998 -10.22424

.500 - 11.19594 - 10.77539 -10.37110 -9.98137 -9.60477 -9.24012

.525 - 10.22183 -9.83277 -9.45855 -9.09760 -8.74862 -8.41051

.550 -9.38934 -9.02740 -8.67908 -8.34295 -8.01780 -7.70261

.575 -8.67033 -8.33197 -8.00621 -7.69169 -7.38730 -7.09212

.600 -8.04355 -7.72588 -7.41991 -7.12438 -6.83826 -6.56067

.650 -7.00485 -6.72178 -6.44893 -6.18521 -5.92969 -5.68161

.700 -6.18030 -5.92499 -5.67875 -5.44060 -5.20972 -4.98543

.750 -5.51066 -5.27810 -5.05370 -4.83655 -4.62594 -4.42122

.800 -4.95651 -4.74294 -4.53677 -4.33719 -4.14352 -3.95520

.850 -4.49063 -4.29315 -4.10245 -3.91777 -3.73849 -3.56410

.900 -4.09371 -3.91003 -3.73260 -3.56072 -3.39381 -3.23140

.950 -3.75163 -3.57992 -3.41400 -3.25323 -3.09708 -2.94509

1.000 -3.45386 -3.29262 -3.13680 -2.98577 -2.83904 -2.69619

1.100 -2.96104 -2.81728 -2.67829 -2.54353 -2.41255 -2.28499

1.200 -2.57016 -2.44039 -2.31490 -2.19318 -2.07485 - 1.95955

1.300 -2.25282 -2.13450 -2.02005 - 1.90903 - 1.80106 - 1.69585

1.400 - 1.99023 - 1.88145 - 1.77622 - 1.67411 - 1.57480 - 1.47801

1.500 - 1.76948 - 1.66877 - 1.57134 - 1.47679 - 1.38482 - 1.29517

1.600 - 1.58141 - 1.48762 - 1.39688 - 1.30882 - 1.22315 - 1.13962

1.700 - 1.41935 - 1.33156 - 1.24662 -1.16418 - 1.08397 - 1.00577

1.800 - 1.27833 - 1.19578 - 1.11591 - 1.03840 -.96297 -.88943

1.900 - 1.15455 - 1.07663 - 1.00124 -.92807 -.85687 -.78745

2.000 - 1.04508 -.97128 -.89986 -.83055 -.76312 -.69736

2.200 -.86034 -.79351 -.72886 -.66612 -.60508 -.54555

2.400 -.71061 -.64950 -.59037 -.53301 -.47720 -.42278

2.600 -.58699 -.53062 -.47611 -.42322 -.37177 -.32161

2.800 -.48334 -.43098 -.38036 -.33125 -.28349 -.23693

3.000 -.39528 -.34635 -.29906 -.25320 -.20860 -.16513

3.200 -.31963 -.27368 -.22928 -.18622 -.14436 -.10357

3.400 -.25403 -.21067 -.16879 -.12819 -.08872 -.05026

3.600 -.19665 -.15558 -.11591 -.07748 -.04012 -.00373

3.800 -.14609 -.10705 -.06936 -.03284 .00264 .03720 4.000 -.10125 -.06402 -.02809 .00671 .04051 .07343 4.500 -.00881 .02464 .05689 .08810 .11840 .14790 5.000 .06274 .09321 .12256 .15095 .17849 .20527

5.500 .11949 .14755 .17456 .20066 .22596 .25056

6.000 .16538 .19146 .21653 .24074 .26420 .28699 6.500 .20308 .22750 .25096 .27359 .29549 .31677

7.000 .23447 .25748 .27957 .30085 .32144 .34142 7.500 .26090 .28270 .30361 .32374 .34320 .36207 8.000 .28337 .30413 .32400 .34313 .36160 .37951 92
Second virial coefficient for the (9, 6, 8) potential function — Continued

1 »

0. 1. 2. 3. 4. 5.

8.500 .30264 .32247 .34145 .35969 .37730 .39436

9.000 .31927 .33829 .35647 .37394 .39079 .40710

9.500 .33372 .35202 .36950 .38627 .40244 .41808

10.000 .34634 .36400 .38084 .39700 .41256 .42761 11.000 .36719 .38374 .39950 .41460 .42912 .44314

12.000 .38351 .39914 .41401 .42823 .44190 .45507 13.000 .39644 .41131 .42543 .43892 .45186 .46432 14.000 .40678 .42101 .43449 .44735 .45968 .47154

15.000 .41512 .42879 .44173 .45405 .46584 .47718

16.000 .42187 .43506 .44752 .45938 .47071 .48159

17.000 .42735 .44012 .45217 .46361 .47454 .48503 18.000 .43181 .44420 .45588 .46697 .47754 .48767

19.000 .43543 .44749 .45885 .46961 .47986 .48968 20.000 .43837 .45013 .46119 .47166 .48163 .49117 22.000 .44262 .45387 .46442 .47440 .48388 .49294

24.000 .44525 .45607 .46621 .47577 .48485 .49350 26.000 .44663 .45718 .46696 .47618 .48491 .49323 28.000 .44722 .45749 .46697 .47589 .48433 .49236 30.000 .44717 .45711 .46643 .47509 .48328 .49106 32.000 .44665 .45637 .46541 .47393 .48189 .48945

34.000 .44577 .45530 .46414 .47249 .48026 .48762 36.000 .44462 .45398 .46265 .47075 .47845 .48564 38.000 .44326 .45247 .46099 .46894 .47641 .48355 40.000 .44175 .45082 .45921 .46702 .47436 .48138 45.000 .43754 .44632 .45441 .46194 .46900 .47565

50.000 .43297 .44153 .44939 .45669 .46352 .46995 55.000 .42829 .43666 .44434 .45145 .45809 .46433 60.000 .42360 .43182 .43934 .44630 .45279 .45887 65.000 .41899 .42708 .43447 .44129 .44765 .45360 70.000 .41449 .42246 .42974 .43645 .44269 .44854

75.000 .41012 .41800 .42518 .43179 .43793 .44368 80.000 .40590 .41369 .42079 .42731 .43336 .43902 85.000 .40183 .40954 .41656 .42300 .42898 .43456 90.000 .39790 .40554 .41249 .41887 .42477 .43029 95.000 .39411 .40170 .40858 .41489 .42074 .42619

100.000 .39046 .39799 .40482 .41107 .41686 .42225 125.000 .37408 .38138 .38798 .39401 .39957 .40474 150.000 .36026 .36741 .37384 .37971 .38511 .39012 175.000 .34842 .35544 .36175 .36749 .37277 .37765 200.000 .33811 .34503 .35124 .35688 .36206 .36684

93

498-740 0 - 74 -7
Second virial coefficient for the (10, 6, 8) potential function

T* y

0. 1. 2. 3. 4.

.250 -55.31143 -52.28669 -49.51218 -46.94947 -44.56922

.275 -41.10474 -38.79293 -36.66410 -34.69015 -32.84970

.300 -32.09220 -30.24022 -28.52906 -26.93704 -25.44775

.325 -25.99439 -24.45846 -23.03516 -21.70710 -20.46115

.350 -21.65568 -20.34795 - 19.13306 - 17.99660 -16.92774

.375 - 18.44211 - 17.30576 - 16.24775 - 15.25588 -14.32098

.400 - 15.98311 - 14.97958 - 14.04344 - 13.16415 - 12.33378

.425 - 14.05034 - 13.15245 - 12.31345 - 11.52408 -10.77739

.450 - 12.49678 - 11.68475 - 10.92485 - 10.20885 -9.53055

.475 - 11.22419 - 10.48322 -9.78890 -9.13382 -8.51245

.500 - 10.16483 -9.48356 -8.84444 -8.24075 -7.66744

.525 -9.27061 -8.64019 -8.04815 -7.48834 -6.95616

.550 -8.50665 -7.92002 -7.36859 -6.84670 -6.35009

.575 -7.84702 -7.29850 -6.78246 -6.29363 -5.82809

.600 - 7.27217 -6.75709 -6.27214 -5.81241 -5.37425

.650 -6.31991 -5.86076 -5.42790 -5.01700 -4.62485

.700 -5.56434 -5.15010 -4.75913 -4.38759 -4.03261

.750 -4.95098 -4.57357 -4.21704 -3.87789 -3.5535

.750 -4.95098 -4.57357 -4.21704 -3.87789 -3.55356

.800 -4.44359 -4.09694 -3.76919 -3.45719 -3.15856

.850 -4.01719 -3.69660 -3.39329 -3.10434 -2.82759

.900 -3.65401 -3.35579 -3.07347 -2.80436 -2.54645

.950 -3.34110 -3.06228 -2.79819 -2.54633 -2.30483

1.000 -3.06880 -2.80697 -2.55887 -2.32214 -2.09504

1.100 -2.61830 -2.38481 -2.16341 - 1.95200 - 1.74902

1.200 -2.26115 -2.05037 - 1.85038 - 1.65930 - 1.47574

1.300 - 1.97131 - 1.77911 - 1.59668 - 1.42229 - 1.25468

1.400 - 1.73156 - 1.55485 - 1.38707 - 1.22664 - 1.07238

1.500 - 1.53008 - 1.36649 - 1.21112 - 1.06251 -.91959

1.600 - 1.35848 - 1.20613 - 1.06142 -.92297 -.78978

1.700 - 1.21066 - 1.06806 -.93259 -.80296 -.67823

1.800 - 1.08207 -.94799 -.82060 -.69870 -.58139

1.900 -.96923 -.84267 -.72243 -.60735 -.49660

2.000 -.86946 -.74959 -.63570 -.52669 -.42177

2.200 -.70115 -.59263 -.48954 -.39087 -.29589

2.400 -.56482 -.46558 -.37133 -.28112 -.19429

2.600 -.45231 -.36080 -.27391 -.19076 -.11073

2.800 -.35801 -.27304 -.19237 -.11520 -.04093

3.000 -.27794 -.19856 -.12323 -.05118 .01816

3.200 -.20919 -.13465 -.06394 .00367 .06873

3.400 -.14960 -.07928 -.01261 .05112 .11242

3.600 -.09750 -.03091 .03220 .09251 .15051 3.800 -.05162 .01166 .07161 .12888 .18394 4.000 -.01095 .04938 .10650 .16105 .21348

4.500 .07282 .12698 .17820 .22707 .27400

5.000 .13758 .18688 .23344 .27782 .32041 5.500 .18886 .23424 .27703 .31778 .35684

6.000 .23027 .27241 .31210 .34984 .38600

6.500 .26424 .30367 .34075 .37597 .40969

7.000 .29248 .32960 .36447 .39755 .42919

94
Second virial coefficient for the (10, 6, 8) potential function — Continued

1 *

0. 1. 2. 3. 4.

7.500 .31621 .35136 .38432 .41556 .44541 8.000 .33635 .36978 .40109 .43072 .45902

8.500 .35358 .38551 .41536 .44359 .47052 9.000 .36843 .39902 .42760 .45459 .48030

9.500 .38130 .41071 .43814 .46403 .48867

10.000 .39252 .42087 .44728 .47217 .49585

11.000 .41097 .43752 .46218 .48537 .50739

12.000 .42534 .45039 .47360 .49539 .51604

13.000 .43664 .46044 .48244 .50305 .52255

14.000 .44562 .46836 .48932 .50893 .52745

15.000 .45280 .47462 .49470 .51344 .53111 16.000 .45855 .47958 .49888 .51687 .53381 17.000 .46317 .48350 .50213 .51945 .53575

18.000 .46687 .48658 .50461 .52136 .53708

19.000 .46982 .48899 .50649 .52271 .53793

20.000 .47216 .49084 .50786 .52362 .53838 22.000 .47540 .49324 .50945 .52440 .53838 24.000 .47720 .49435 .50988 .52417 .53750 26.000 .47798 .49455 .50951 .52325 .53603 28.000 .47801 .49409 .50856 .52183 .53414

30.000 .47750 .49315 .50721 .52006 .53197 32.000 .47659 .49187 .50556 .51805 .52962 34.000 .47538 .49033 .50370 .51588 .52713 36.000 .47395 .48860 .50169 .51359 .52456 38.000 .47236 .48674 .49957 .51122 .52195

40.000 .47054 .48479 .49738 .50881 .51932 45.000 .46586 .47967 .49177 .50271 .51276 50.000 .46094 .47429 .48612 .49668 .50634

55.000 .45598 .46902 .48047 .49081 .50017 60.000 .45108 .46385 .47505 .48517 .49426

65.000 .44629 .45884 .46982 .47963 .48862 70.000 .44164 .45400 .46479 .47441 .48315 75.000 .43715 .44935 .45997 .46943 .47800 80.000 .43282 .44488 .45535 .46467 .47310 85.000 .42865 .44058 .45093 .46012 .46842

90.000 .42465 .43646 .44669 .45576 .46395 95.000 .42079 .43250 .44262 .45159 .45968

100.000 .41708 .42869 .43872 .44760 .45559

125.000 .40046 .41169 .42135 .42986 .43749 150.000 .38648 .39745 .40683 .41508 .42246

175.000 .37451 .38527 .39445 .40250 .40968 200.000 .36410 .37469 .38370 .39159 .39862

95
Second virial coefficient for the (11, 6, 8) potential function

T* y

0. 1. 1.5 2.0 2.5 3.0

.250 -51.40430 -47.64626 -45.92104 -44.28443 -42.72812 -41.24501

.275 -38.16584 -35.28991 -33.96423 -32.70325 -31.50094 -30.35216

.300 -29.77040 -27.46399 -26.39706 -25.37983 -24.40768 -23.47667

.325 -24.09193 -22.17735 -21.28894 -20.44022 - 19.62747 - 18.84756

.350 -20.05280 - 18.42140 - 17.66237 - 16.93599 - 16.23918 -15.56937

.375 - 17.06197 - 15.64339 - 14.98186 - 14.34781 - 13.73866 - 13.15223

.400 - 14.77401 - 13.52050 - 12.93477 - 12.37262 - 11.83184 - 11.31054

.425 - 12.97609 - 11.85398 - 11.32871 - 10.82401 - 10.33792 -9.86881

.450 - 11.53127 - 10.51600 - 10.04000 -9.58218 -9.14078 -8.71437

.475 - 10.34800 -9.42120 -8.98609 -8.56719 -8.16297 -7.77211

.500 -9.36317 -8.51076 -8.11008 -7.72402 -7.35118 -6.99038

.525 -8.53203 -7.74300 -7.37170 -7.01369 -6.66768 -6.33261

.550 - 7.82207 -7.08765 -6.74171 -6.40793 -6.08514 -5.77233

.575 -7.20918 -6.52229 -6.19845 -5.88581 -5.58328 -5.28995

.600 -6.67513 -6.02998 -5.72557 -5.43154 -5.14686 -4.87068

.650 -5.79064 -5.21533 -4.94349 -4.68067 -4.42598 -4.17866

.700 -5.08901 -4.56981 -4.32420 -4.08654 -3.85605 -3.6320

.700 -5.08901 -4.56981 -4.32420 -4.08654 -3.85605 -3.63207

.750 -4.51958 - 4.04642 -3.82236 -3.60543 -3.39489 -3.19016

.800 -4.04862 -3.61393 -3.40791 -3.20832 -3.01452 -2.82595

.850 -3.65290 -3.25082 -3.06012 -2.87528 -2.69571 -2.52090

.900 -3.31592 -2.94183 -2.76429 -2.59214 -2.42482 -2.26188

.950 -3.02563 -2.67583 -2.50973 -2.34861 -2.19196 -2.03934

1.000 -2.77304 -2.44452 -2.28846 -2.13702 - 1.98973 -1.84619

1.100 -2.35524 -2.06224 - 1.92293 - 1.78769 - 1.65608 - 1.52774

1.200 -2.02410 - 1.75955 - 1.63370 - 1.51146 - 1.39246 - 1.27637

1.300 - 1.75542 - 1.51418 - 1.39936 - 1.28781 - 1.17916 - 1.07314

1.400 - 1.53323 - 1.31142 - 1.20581 - 1.10318 - 1.00320 -.90561

1.500 - 1.34653 - 1.14118 - 1.04339 -.94832 -.85569 -.76526

1.600 - 1.18756 -.99632 -.90523 -.81666 -.73035 -.64607

1.700 - 1.05064 -.87164 -.78635 -.70343 -.62261 -.54368

1.800 -.93154 -.76325 -.68306 -.60508 -.52907 -.45482

1.900 -.82705 -.66821 -.59251 -.51890 -.44715 -.37705

2.000 -.73469 -.58424 -.51254 -.44282 -.37485 -.30844

2.200 -.57890 -.44272 -.37783 -.31472 -.25319 -.19307

2.400 -.45275 -.32824 -.26892 -.21122 -.15497 -.10001

2.600 -.34868 -.23388 . -.17920 -.12603 -.07418 -.02353

2.800 -.26148 -.15490 -.10414 -.05479 -.00668 .04033 3.000 -.18746 -.08792 -.04053 .00555 .05046 .09434

3.200 -.12393 -.03048 .01400 .05724 .09938 .14054

3.400 -.06887 .01926 .06119 .10194 .14165 .18044 3.600 -.02076 .06268 .10236 .14092 .17850 .21519 3.800 .02160 .10088 .13856 .17518 .21085 .24568 4.000 .05913 .13469 .17059 .20547 .23943 .27260 4.500 .13640 .20418 .23636 .26760 .29800 .32768

5.000 .19607 .25773 .28696 .31532 .34292 .36984 5.500 .24327 .29999 .32684 .35287 .37819 .40287 6.000 .28135 .33398 .35887 .38298 .40641 .42925 6.500 .31255 .36176 .38500 .40750 .42935 .45064

7.000 .33845 .38475 .40659 .42772 .44823 .46820

96
Second virial coefficient for the (11, 6, 8 ) potential function — Continued

y

J * 0 . 1 . 1.5 2.0 2.5 3.0

7.500 .36020 .40400 .42463 .44458 .46393 .48277 8.000 .37862 .42025 .43984 .45876 .47711 .49495

8.500 .39436 .43409 .45276 .47078 .48825 .50522 9.000 .40791 .44595 .46381 .48103 .49772 .51392 9.500 .41962 .45618 .47331 .48983 .50581 .52134

10.000 .42982 .46503 .48152 .49740 .51277 .52768

11.000 .44655 .47947 .49484 .50964 .52393 .53779

12.000 .45950 .49053 .50499 .51889 .53229 .54528 13.000 .46965 .49910 .51278 .52592 .53859 .55084

14.000 .47767 .50576 .51879 .53129 .54332 .55495

15.000 .48402 .51096 .52343 .53537 .54685 .55795 16.000 .48908 .51500 .52698 .53844 .54945 .56008 17.000 .49309 .51813 .52968 .54072 .55131 .56153 18.000 .49627 .52053 .53170 .54236 .55259 .56244

19.000 .49877 .52233 .53316 .54349 .55339 .56291

20.000 .50071 .52365 .53418 .54421 .55381 .56304 22.000 .50327 .52515 .53516 .54467 .55377 .56251 24.000 .50454 .52554 .53512 .54421 .55289 .56121 26.000 .50488 .52515 .53436 .54309 .55142 .55939 28.000 .50456 .52420 .53310 .54153 .54956 .55723

30.000 .50375 .52285 .53149 .53965 .54742 .55484 32.000 .50259 .52121 .52962 .53756 .54510 .55229 34.000 .50116 .51937 .52757 .53531 .54265 .54965 36.000 .49954 .51738 .52541 .53297 .54013 .54696 38.000 .49778 .51529 .52316 .53056 .53756 .54423

40.000 .49592 .51313 .52085 .52811 .53498 .54151 45.000 .49099 .50759 .51500 .52196 .52853 .53476 50.000 .48592 .50201 .50917 .51589 .52222 .52822 55.000 .48086 .49652 .50349 .51000 .51614 .52194 60.000 .47590 .49120 .49800 .50434 .51031 .51596

65.000 .47092 .48608 .49272 .49893 .50475 .51026 70.000 .46622 .48116 .48767 .49375 .49946 .50484 75.000 .46169 .47633 .48285 .48881 .49441 .49969 80.000 .45733 .47178 .47825 .48411 .48960 .49479 85.000 .45314 .46743 .47370 .47961 .48502 .49012

90.000 .44911 .46325 .46944 .47519 .48065 .48567 95.000 .44524 .45925 .46537 .47105 .47648 .48142 100.000 .44152 .45540 .46147 .46709 .47233 .47737 125.000 .42488 .43827 .44410 .44949 .45450 .45920 150.000 .41090 .42395 .42960 .43482 .43967 .44421

175.000 .39893 .41171 .41724 .42233 .42705 .43147 200.000 .38852 .40108 .40650 .41149 .41612 .42043

97
Second virial coefficient for the (12, 6, 8) potential function

T* y

0. 0.5 i.o 1.5 2.0 2.5

.250 -48.20261 -46.00728 -43.95888 -42.03928 -40.23391 -38.53076

.275 -35.76620 -34.08669 -32.51429 -31.03584 -29.64073 -28.32029

.300 -27.88058 -26.53407 -25.26975 -24.07749 -22.94920 -21.87825

.325 -22.54772 -21.43026 -20.37835 - 19.38390 - 18.44046 - 17.54274

.350 - 18.75490 - 17.80296 - 16.90489 - 16.05403 - 15.24506 -14.47364

.375 - 15.94678 - 15.11922 - 14.33700 - 13.59450 - 12.88722 -12.21151

.400 - 13.79884 - 13.06772 - 12.37552 - 11.71737 -11.08942 -10.48851

.425 - 12.11112 - 11.45676 - 10.83633 - 10.24556 -9.68108 -9.14014

.450 - 10.75497 - 10.16303 -9.60104 -9.06524 -8.55263 -8.06078

.475 -9.64443 -9.10415 -8.59063 -8.10048 -7.63102 -7.18005

.500 -8.72021 -8.22336 -7.75065 -7.29899 -6.86595 -6.44956

.525 -7.94026 -7.48042 -7.04251 -6.62373 -6.22185 -5.83507

.550 -7.27409 -6.84612 -6.43824 -6.04785 -5.67292 -5.31178

.575 -6.69902 -6.29880 -5.91708 -5.55146 -5.20006 -4.86134

.600 -6.19797 -5.82211 -5.46338 -5.11955 -4.78887 -4.46992

.650 -5.36819 -5.03308 -4.71287 -4.40561 -4.10975 -3.82406

.700 -4.71004 -4.40765 -4.11844 -3.84064 -3.57290 -3.31410

.750 -4.17593 -3.90040 -3.63665 -3.38311 -3.13854 -2.90195

.800 -3.73423 -3.48112 -3.23868 -3.00545 -2.78031 -2.56236

.850 -3.36312 -3.12903 -2.90466 -2.68869 -2.48008 -2.27801

.900 -3.04711 -2.82934 -2.62050 -2.41938 -2.22501 -2.03663

.950 -2.77491 -2.57130 -2.37595 -2.18773 -2.00575 - 1.82929

1.000 -2.53808 -2.34687 -2.16335 - 1.98645 - 1.81535 - 1.64937

1.100 -2.14637 - 1.97586 - 1.81210 - 1.65414 - 1.50125 - 1.35283

1.200 - 1.83595 - 1.68201 - 1.53410 - 1.39135 - 1.25310 - 1.11883

1.300 - 1.58411 - 1.44375 - 1.30882 - 1.17856 - 1.05235 -.92972

1.400 - 1.37585 - 1.24681 - 1.12273 - 1.00290 -.88676 -.77386

1.500 - 1.20088 - 1.08143 -.96654 -.85555 -.74795 -.64334

1.600 - 1.05191 -.94068 -.83367 -.73028 -.63002 -.53252

1.700 -.92362 -.81950 -.71934 -.62254 -.52866 -.43735

1.800 -.81203 -.71416 -.61998 -.52896 -.44067 -.35478

1.900 -.71415 -.62177 -.53288 -.44696 -.36361 -.28252

2.000 -.62763 -.54014 -.45595 -.37457 -.29562 -.21879

2.200 -.48171 -.40253 -.32634 -.25268 -.18122 -.11167

2.400 -.36358 -.29119 -.22154 -.15421 -.08888 -.02530

2.600 -.26613 -.19940 -.13520 -.07315 -.01295 .04565 2.800 -.18451 -.12256 -.06297 -.00538 .05049 .10486

3.000 -.11523 -.05738 -.00174 .05202 .10417 .15492 3.200 -.05579 -.00148 .05074 .10118 .15011 .19772 3.400 -.00428 .04693 .09615 .14370 .18981 .23466

3.600 .04072 .08920 .13579 .18077 .22439 .26682

3.800 .08033 .12639 .17063 .21334 .25475 .29502 4.000 .11542 .15931 .20146 .24214 .28157 .31991 4.500 .18762 .22699 .26477 .30120 .33649 .37079 5.000 .24334 .27915 .31347 .34655 .37857 .40968

5.500 .28740 .32033 .35185 .38222 .41159 .44011 6.000 .32290 .35346 .38268 .41080 .43798 .46436 6.500 .35197 .38053 .40783 .43406 .45941 .48399

7.000 .37609 .40296 .42860 .45324 .47702 .50008

7.500 .39631 .42172 .44596 .46922 .49166 .51339

98
Second virial coefficient for the (12, 6, 8) potential function — Continued

T* y

0. 0.5 1.0 1.5 2.0 2.5

8.000 .41343 .43758 .46059 .48265 .50391 .52450 8.500 .42804 .45108 .47301 .49402 .51426 .53384 9.000 .44060 .46266 .48363 .50372 .52305 .54174 9.500 .45145 .47264 .49277 .51202 .53054 .54844

10.000 .46088 .48129 .50066 .51917 .53696 .55415

11.000 .47631 .49538 .51345 .53069 .54724 .56321 12.000 .48822 .50620 .52319 .53938 .55490 .56986

13.000 .49752 .51457 .53066 .54597 .56062 .57473

14.000 .50483 .52109 .53641 .55097 .56489 .57827 15.000 .51059 .52617 .54084 .55475 .56803 .58079

16.000 .51514 .53014 .54423 .55757 .57030 .58252

18.000 .52154 .53556 .54870 .56112 .57293 .58425 20.000 .52537 .53863 .55102 .56270 .57379 .58439 22.000 .52748 .54012 .55190 .56298 .57348 .58350 24.000 .52840 .54052 .55179 .56237 .57239 .58193

26.000 .52846 .54015 .55100 .56116 .57077 .57990 28.000 .52791 .53924 .54973 .55954 .56879 .57758 30.000 .52693 .53794 .54811 .55761 .56657 .57506 32.000 .52561 .53635 .54625 .55549 .56418 .57241 34.000 .52407 .53456 .54423 .55323 .56168 .56969

36.000 .52235 .53263 .54208 .55088 .55913 .56693 38.000 .52051 .53059 .53986 .54847 .55654 .56416 40.000 .51857 .52849 .53759 .54603 .55393 .56139 45.000 .51353 .52308 .53182 .53991 .54747 .55459 50.000 .50836 .51763 .52609 .53390 .54118 .54802

55.000 .50323 .51227 .52049 .52807 .53513 .54174 60.000 .49821 .50705 .51508 .52247 .52934 .53577 65.000 .49335 .50202 .50989 .51711 .52382 .53009 70.000 .48865 -.49718 .50491 .51199 .51856 .52470 75.000 .48413 .49254 .50014 .50710 .51355 .51957

80.000 .47979 .48808 .49558 .50244 .50878 .51469 85.000 .47562 .48382 .49121 .49798 .50422 .51004 90.000 .47162 .47972 .48703 .49371 .49987 .50561 95.000 .46777 .47580 .48303 .48963 .49572 .50138 100.000 .46407 .47203 .47919 .48572 .49174 .49733

125.000 .44754 .45521 .46210 .46847 .47417 .47948 150.000 .43366 .44113 .44781 .45388 .45944 .46471 175.000 .42178 .42909 .43562 .44154 .44695 .45196 200.000 .41143 .41862 .42503 .43082 .43613 .44102

99
Second virial coefficient for the {13, 6, 8) potential function

T* 7

0. 0.8 1.0 1.5 2.0

.250 -45.52545 -41.81188 -40.95224 -38.90746 -36.99727

.275 -33.76552 -30.91828 -30.25654 -28.67823 -27.19809

.300 -26.30901 -24.02201 -23.48863 -22.21348 -21.01362

.325 -21.26642 - 19.36542 - 18.92073 - 17.85544 - 16.85013

.350 - 17.68009 - 16.05844 - 15.67812 - 14.76539 -13.90189

.375 - 15.02489 - 13.61344 - 13.28167 -12.48424 -11.72815

.400 - 12.99391 - 11.74569 - 11.45170 - 10.74415 - 10.07199

.425 - 11.39811 - 10.27994 - 10.01612 -9.38044 -8.77554

.450 - 10.11583 -9.10350 -8.86430 -8.28732 -7.73746

.475 -9.06577 -8.14116 -7.92239 -7.39421 -6.89019

.500 -8.19188 -7.34109 -7.13955 -6.65254 -6.18727

.525 -7.45442 -6.66656 -6.47972 -6.02792 -5.59582

.550 -6.82453 -6.09093 -5.91679 -5.49542 -5.09204

.575 -6.28079 -5.59445 -5.43139 -5.03658 -4.65830

.600 -5.80703 -5.16220

V -5.00888 -4.63746 -4.28131

.650 -5.02245 -4.44714 -4.31016 -3.97801 -3.65909

.700 -4.40014 -3.88073 -3.75691 -3.45644 -3.16761

.750 -3.89512 -3.42162 -3.30863 -3.03427 -2.77027

.800 - 3.47748 -3.04234 -2.93843 -2.68594 -2.44279

.850 -3.12659 -2.72400 -2.62779 -2.39390 -2.16851

.900 -2.82779 -2.45317 -2.36358 -2.14570 - 1.93561

.950 -2.57042 -2.22006 -2.13624 - 1.93229 - 1.73552

1.000 -2.34649 -2.01741 - 1.93863 - 1.74691 - 1.56185

1.100 - 1.97613 - 1.68257 - 1.61224 - 1.44098 - 1.27553

1.200 - 1.68263 - 1.41754 - 1.35399 - 1.19918 -1.04952

1.300 - 1.44452 - 1.20276 - 1.14478 - 1.00348 -.86681

1.400 - 1.24762 - 1.02533 -.97200 -.84199 -.71620

1.500 - 1.08220 -.87641 -.82702 -.70659 -.59003

1.600 -.94136 -.74972 -.70372 -.59152 -.48289

1.700 -.82008 -.64070 -.59764 -.49259 -.39086

1.800 -.71459 -.54596 -.50547 -.40668 -.31100

1.900 -.62206 -.46291 -.42469 -.33144 -.24111

2.000 -.54028 -.38955 -.35335 -.26503 -.17946

2.200 -.40236 -.26596 -.23320 -.15327 -.07581

2.400 -.29070 -.16603 -.13609 -.06303 .00778

2.600 -.19862 -.08371 -.05612 .01121 .07646

2.800 -.12149 -.01484 .01077 .07324 .13379 3.000 -.05604 .04354 .06744 .12576 .18226

3.200 .00013 .09357 .11600 .17071 .22371 3.400 .04878 .13687 .15800 .20956 .25950

3.600 .09128 .17465 .19465 .24342 .29065 3.800 .12868 .20786 .22684 .27314 .31797 4.000 .16181 .23724 .25532 .29941 .34209 4.500 .22997 .29757 .31376 .35322 .39140

5.000 .28255 .34397 .35867 .39447 .42909

5.500 .32410 .38053 .39402 .42686 .45859

6.000 .35757 .40987 .42237 .45276 .48211 6.500 .38496 .43380 .44546 .47380 .50115

7.000 .40766 .45357 .46451 .49111 .51676

7.500 .42669 .47007 .48040 .50549 .52967

100
Secpnd virial coefficient for the (13, 6, 8 ) potential function — Continued

T* y

0. 0.8 1.0 1.5 2.0

8.000 .44279 .48397 .49377 .51755 .54046 8.500 .45652 .49578 .50511 .52774 .54952 9.000 .46830 .50586 .51477 .53639 .55718

9.500 .47848 .51452 .52307 .54378 .56369

10.000 .48732 .52200 .53022 .55012 .56924

11.000 .50176 .53411 .54176 .56028 .57803

12.000 .51288 .54331 .55050 .56786 .58449

13.000 .52153 .55035 .55714 .57354 .58923

14.000 .52831 .55575 .56221 .57779 .59267

15.000 .53363 .55990 .56607 .58093 .59511

16.000 .53781 .56305 .56897 .58322 .59680

17.000 .54109 .56542 .57112 .58483 .59788

18.000 .54363 .56717 .57268 .58590 .59848

19.000 .54558 .56841 .57374 .58655 .59870 20.000 .54705 .56924 .57442 .58684 .59862

22.000 .54884 .56995 .57486 .58662 .59775 24.000 .54952 .56972 .57441 .58563 .59623 26.000 .54940 .56885 .57335 .58411 .59426 28.000 .54872 .56752 .57186 .58223 .59200 30.000 .54763 .56587 .57008 .58011 .58954

32.000 .54624 .56400 .56808 .57782 .58696 34.000 .54463 .56196 .56595 .57542 .58431 36.000 .54287 .55982 .56371 .57296 .58162 38.000 .54099 .55761 .56142 .57046 .57892 40.000 .53904 .55535 .55909 .56794 .57623

45.000 .53396 .54964 .55322 .56169 .56959 50.000 .52880 .54397 .54743 .55559 .56319 55.000 .52369 .53845 .54180 .54971 .55706 60.000 .51871 .53312 .53639 .54409 .55123 65.000 .51389 .52800 .53120 .53872 .54568

70.000 .50924 .52310 .52623 .53360 .54041 75.000 .50477 .51841 .52148 .52872 .53540 80.000 .50048 .51392 .51695 .52406 .53063 85.000 .49636 .50963 .51261 .51962 .52608 90.000 .49240 .50551 .50846 .51538 .52175

95.000 .48861 .50157 .50449 .51132 .51760

100.000 .48496 .49780 .50068 .50743 .51364

125.000 .46870 .48099 .48375 .49019 .49611 150.000 .45491 .46698 .46963 .47585 .48155 175.000 .44316 .45505 .45763 .46365 .46918

200.000 .43293 _ 44444 .44700 .45310 .45848

101
Second virial coefficient for the {14, 6, 8) potential function

T* y

0. 0.2 0.4 0.6 0.8 1.0 1.5

.250 -43.24987 -42.22315 -41.23196 -40.27398 -39.34714 -38.44958 -36.32320

.275 -32.06905 -31.28297 -30.52273 -29.78664 -29.07321 -28.38110 -26.73644

.300 -24.97923 —24.34863 -23.73780 -23.14546 -22.50

.325 -20.18428 - 19.66069 - 19.15284 - 18.65970 - 18.18037 -17.71402 - 16.60034

.350 - 16.77384 - 16.32762 - 15.89432 - 15.47309 -15.06317 -14.66389 - 13.70850

.375 - 14.24867 - 13.86064 - 13.48345 - 13.11639 -12.75884 -12.41022 - 11.57459

.400 - 12.31704 - 11.97414 - 11.64053 - 11.31560 -10.99880 -10.68965 -9.94749

.425 - 10.79920 - 10.49224 - 10.19335 -9.90202 -9.61776 -9.34016 -8.67284

.450 -9.57949 -9.30175 -9.03114 -8.76719 -8.50947 -8.25761 -7.65147

.475 -8.58061 -8.32708 -8.07990 -7.83866 -7.60297 -7.37251 -6.81728

.500 -7.74928 -7.51610 -7.28864 -7.06653 -6.84941 -6.63699 -6.12477

.525 -7.04770 -6.83186 -6.62122 -6.41542 -6.21416 -6.01716 -5.54172

.550 -6.44841 -6.24752 -6.05138 -5.85967 -5.67211 -5.48843 -5.04481

.575 -5.93108 -5.74319 -5.55968 -5.38025 -5.20462 -5.03257 -4.61675

.600 -5.48030 -5.30384 -5.13143 -4.96278 -4.79766 -4.63584 -4.24451

.650 -4.73374 -4.57640 -4.42257 -4.27200 -4.12450 -3.97985 -3.62967

.700 -4.14155 -3.99957 -3.86068 -3.72467 -3.59135 -3.46055 -3.14361

.750 -3.66095 -3.53156 -3.40495 -3.28091 -3.15926 -3.03986 -2.75033

.800 -3.26347 -3.14462 -3.02826 -2.91423 -2.80235 -2.69251 -2.42596

.850 -2.92951 -2.81958 -2.71193 -2.60639 -2.50282 -2.40109 -2.15410

.900 -2.64512 -2.54285 -2.44268 -94* • <jr 34AAA r r r -2.24801 -2.15326 - 1.92312

.950 -2.40014 -2.30453 -2.21084 -2.11895 -2.02872 - 1.94005 - 1.72457

1.000 -2.18700 -2.09720 -2.00921 - 1.92287 - 1.83809 - 1.75475 - 1.55214

1.100 - 1.83445 - 1.75438 - 1.67588 - 1.59884 - 1.52315 - 1.44873 - 1.26769

1.200 - 1.55505 - 1.48276 - 1.41188 - 1.34230 - 1.27392 - 1.20666 - 1.04296

1.300 - 1.32837 - 1.26246 - 1.19783 - 1.13436 - 1.07197 -1.01059 -.86115

1.400 - 1.14092 - 1.08034 - 1.02091 -.96254 -.90516 -.84870 -.71118

1.500 -.98344 -.92736 -.87234 -.81830 -.76517 -.71288 -.58548

1.600 -.84935 -.79714 -.74591 -.69558 -.64609 -.59738 -.47868

1.700 -.73388 -.68502 -.63707 -.58996 -.54363 -.49803 -.38689

1.800 -.63345 -.58752 -.54244 -.49816 -.45460 -.41172 -.30720

1.900 -.54536 -.50201 -.45947 -.41767 -.37657 -.33609 -.23743

2.000 -.46749 -.42644 -.38616 -.34658 -.30765 -.26932 -.17586

2.200 -.33618 -.29904 -.26259 -.22678 -.19155 -.15687 -.07229

2.400 -.22989 -.19594 -.16263 -.12990 -.09770 -.06600 .01130

2.600 -.14222 -.11094 -.08024 -.05008 -.02041 .00880 .08003 2.800 -.06879 -.03976 -.01128 .01671 .04424 .07134 .13743 3.000 -.00649 .02062 .04721 .07333 .09903 .12432 .18600 3.200 .04697 .07240 .09736 .12187 .14597 .16970 .22756 3.400 .09328 .11725 .14077 .16387 .18659 .20895 .26346

3.600 .13373 . 15642 .17867 .20053 .22202 .24317 .29473 3.800 .16933 .19087 .21201 .23276 .25316 .27323 .32217 4.000 .20085 .22138 .24151 .26127 .28070 .29982 .34640 4.500 .26570 .28410 .30213 .31983 .33722 .35433 .39600

5.000 .31572 .33243 .34881 .36488 .38066 .39618 .43397

5.500 .35523 .37059 .38563 .40037 .41486 .42909 .46374 6.000 .38705 .40129 .41522 .42888 .44229 .45546 .48751 6.500 .41308 .42637 .43938 .45213 .46463 .47692 .50678

7.000 .43465 .44714 .45936 .47133 .48307 .49460 .52260

7.500 .45272 .46453 .47607 .48737 .49845 .50932 .53573

102
Second virial cofficient for the (14, 6, 8 ) potential function — Continued

y

1 *

0. 0.2 0.4 0.6 0.8 1.0 1.5

8.000 .46800 .47921 .49016 .50088 .51139 .52169 .54671 8.500 .48103 .49171 .50215 .51235 .52235 .53217 .55596 9.000 .49220 .50243 .51240 .52216 .53171 .54108 .56380 9.500 .50185 .51166 .52123 .53058 .53974 .54872 .57047

10.000 .51021 .51966 .52886 .53786 .54666 .55529 .57617

11.000 .52388 .53268 .54127 .54965 .55784 .56586 .58527 12.000 .53438 .54267 .55073 .55860 .56629 .57382 .59199

13.000 .54254 .55039 .55802 .56546 .57272 .57983 .59698

14.000 .54891 .55638 .56365 .57072 .57763 .58438 .60065

15.000 .55390 .56105 .56800 .57476 .58136 .58780 .60331

16.000 .55781 .56468 .57135 .57784 .58416 .59034 .60519 17.000 .56086 .56748 .57391 .58016 .58624 .59218 .60646 18.000 .56321 .56962 .57583 .58187 .58774 .59347 .60724

19.000 .56500 .57121 .57724 .58308 .58877 .59432 .60762 20.000 .56633 .57237 .57822 .58390 .58942 .59480 .60770

22.000 .56791 .57366 .57922 .58460 .58983 .59493 .60712 24.000 .56843 .57393 .57925 .58439 .58939 .59425 .60586 26.000 .56820 .57350 .57861 .58356 .58835 .59301 .60413 28.000 .56744 .57256 .57750 .58227 .58689 .59138 .60209 30.000 .56630 .57126 .57605 .58067 .58515 .58949 .59983

32.000 .56487 .56971 .57436 .57886 .58320 .58742 .59744 34.000 .56324 .56796 .57250 .57688 .58112 .58522 .59497 36.000 .56147 .56609 .57052 .57480 .57894 .58294 .59244 38.000 .55959 .56412 .56846 .57265 .57670 .58061 .58990 40.000 .55764 .56209 .56635 .57046 .57442 .57826 .58735

45.000 .55260 .55687 .56097 .56490 .56870 .57236 .58104 50.000 .54749 .55163 .55559 .55939 .56304 .56658 .57492 55.000 .54245 .54647 .55032 .55401 .55755 .56098 .56905 60.000 .53754 .54146 .54521 .54881 .55227 .55560 .56344 65.000 .53278 .53663 .54030 .54382 .54720 .55045 .55811

70.000 .52821 .53198 .53559 .53904 .54235 .54553 .55302 75.000 .52381 .52752 .53107 .53446 .53771 .54084 .54818 80.000 .51958 .52324 .52674 .53007 .53327 .53635 .54357 85.000 .51553 .51914 .52259 .52588 .52903 .53206 .53917 90.000 .51163 .51521 .51861 .52186 .52497 .52796 .53497

95.000 .50790 .51143 .51480 .51801 .52109 .52404 .53096

100.000 .50430 .50780 .51113 .51431 .51736 .52028 .52711 125.000 .48825 .49161 .49481 .49785 .50076 .50355 .51007 150.000 .47477 .47803 .48113 .48408 .48690 .48959 .49589 175.000 .46324 .46642 .46943 .47231 .47505 .47768 .48380

200.000 .45321 .45632 .45927 .46207 .46476 .46732 .47330

103
Second virial coefficient for the (15, 6, 8) potential function

T* v

0. 0.2 0.4 0.6 0.8 1.0 1.5

.250 -41.28912 -40.22414 -39.19836 -38.20912 -37.25404 -36.33099 -34.15143

.275 -30.61028 -29.79417 -29.00656 -28.24549 -27.50926 -26.79633 -25.10729

.300 -23.83783 -23.18265 -22.54925 -21.93616 -21.34206 -20.76580 -19.39655

.325 -19.25690 -18.71257 -18.18555 -17.67468 -17.17891 -16.69731 -15.55011

.350 -15.99826 -15.53413 -15.08418 -14.64747 -14.22312 -13.81038 -12.82506

.375 -13.58520 -13.18140 -12.78951 -12.40871 -12.03830 -11.67762 -10.81494

.400 -11.73909 -11.38213 -11.03536 -10.69807 -10.36967 -10.04959 -9.28274

.425 -10.28830 -9.96864 -9.65785 -9.35530 -9.06046 -8.77286 -8.08280

.450 -9.12235 -8.83304 -8.55155 -8.27732 -8.00988 -7.74880 -7.12160

.475 -8.16741 -7.90325 -7.64605 -7.39532 -7.15064 -6.91163 -6.33677

.500 -7.37256 -7.12956 -6.89282 -6.66190 -6.43641 -6.21602 -5.68540

.525 -6.70172 -6.47674 -6.25745 -6.04344 -5.83435 -5.62988 -5.13714

.550 -6.12864 -5.91922 -5.71498 -5.51556 -5.32064 -5.12993 -4.66998

.575 -5.63390 -5.43800 -5.24688 -5.06018 -4.87762 -4.69893 -4.26764

.600 -5.20277 -5.01876 -4.83917 -4.66366 -4.49198 -4.32387 -3.91784

.650 -4.48869 -4.32458 -4.16429 -4.00756 -3.85412 -3.70378 -3.34025

.700 -3.92220 -3.77408 -3.62933 -3.48770 -3.34898 -3.21298 -2.88379

.750 -3.46240 -3.32741 -3.19542 -3.06623 -2.93962 -2.81543 -2.51458

.800 -3.08210 -2.95807 -2.83677 -2.71797 -2.60150 -2.48722 -2.21016

.850 -2.76254 -2.64782 -2.53557 -2.42560 -2.31776 -2.21189 -1.95509

.900 -2.49039 -2.38366 -2.27919 -2.17682 -2.07639 -1.97778 -1.73843

.950 -2.25594 -2.15615 -2.05844 -1.96267 -1.86869 -1.77638 -1.55223

1.000 -2.05195 -1.95822 -1.86644 -1.77646 -1.68814 -1.60136 -1.39057

1.100 -1.71451 -1.63092 -1.54904 -1.46873 -1.38987 -1.31237 -1.12395

1.200 -1.44705 -1.37160 -1.29766 -1.22511 -1.15385 -1.08379 -.91338

1.300 -1.23005 -1.16126 -1.09382 -1.02764 -.96263 -.89869 -.74309

1.400 -1.05060 -.98735 -.92535 -.86449 -.80469 -.74586 -.60266

1.500 -.89982 ’-.84128 -.78388 -.72753 -.67215 -.61766 -.48499

1.600 -.77144 -.71693 -.66349 -.61101 -.55942 -.50866 -.38503

1.700 -.66087 -.60987 -.55984 -.51072 -.46243 -.41492 -.29915

1.800 -.56471 -.51677 -.46974 -.42356 -.37816 -.33348 -.22461

1.900 -.48035 -.43511 -.39073 -.34715 -.30430 -.26213 -.15936

2.000 -.40579 -.36295 -.32093 -.27966 -.23908 -.19914 -.10179

2.200 -.28005 -.24129 -.20327 -.16593 -.12922 -.09308 -.00498

2.400 -.17825 -.14284 -.10810 -.07398 -.04043 -.00740 .07312

2.600 -.09430 -.06166 -.02966 .00178 .03269 .06312 .13731 2.800 -.02398 .00630 .03600 .06517 .09385 .12208 .19090 3.000 .03569 .06395 .09167 .11889 .14566 .17200 .23622 3.200 .08689 .11340 .13941 .16494 .19005 .21476 .27499 3.400 .13123 .15623 .18073 .20479 .22844 .25172 .30846

3.600 .16997 .19362 .21680 .23956 .26193 .28395 .33761 3.800 .20406 .22651 .24852 .27012 .29136 .31225 .36317 4.000 .23425 .25564 .27659 .29717 .31738 .33727 .38574 4.500 .29635 .31550 .33427 .35268 .37077 .38856 .43190 5.000 .34424 .36163 .37866 .39537 .41178 .42791 .46719

5.500 .38206 .39803 .41366 .42899 .44404 .45883 .49482 6.000 .41252 .42731 .44179 .45597 .46990 .48358 .51685 6.500 .43743 .45124 .46474 .47797 .49095 .50370 .53469

7.000 .45807 .47104 .48372 .49613 .50831 .52026 .54931 7.500 .47536 .48761 .49957 .51129 .52277 .53405 .5614

104
Second virial coefficient for the (15, 6, 8 ) potential function — Continued

T* y

0. 0.2 0.4 0.6 0.8 1.0 1.5

7.500 .47536 .48761 .49957 .51129 .52277 .53405 .56142 8.000 .48997 .50159 .51294 .52405 .53493 .54561 .57152 8.500 .50243 .51350 .52431 .53488 .54523 .55539 .58002 9.000 .51311 .52369 .53402 .54412 .55401 .56370 .58721 9.500 .52232 .53248 .54238 .55206 .56153 .57081 .59331

10.000 .53032 .54008 .54960 .55890 .56800 .57692 .59851 11.000 .54336 .55246 .56132 .56997 .57843 .58672 .60675

12.000 .55337 .56193 .57025 .57836 .58630 .59406 .61281 13.000 .56114 .56923 .57710 .58477 .59225 .59957 .61725

14.000 .56720 .57490 .58238 .58966 .59677 .60372 .62047

15.000 .57194 .57930 .58645 .59340 .60018 .60680 .62276

16.000 .57564 .58271 .58956 .59623 .60273 .60907 .62433

17.000 .57852 .58533 .59193 .59834 .60459 .61068 .62534

18.000 .58073 .58731 .59368 .59988 .60590 .61178 .62590

19.000 .58241 .58878 .59495 .60095 .60678 .61246 .62610

20.000 .58364 .58983 .59583 .60164 .60729 .61280 .62601 22.000 .58508 .59096 .59664 .60215 .60750 .61271 .62518 24.000 .58550 .59113 .59655 .60181 .60691 .61186 .62372 26.000 .58522 .59062 .59583 .60087 .60576 .61051 .62185 28.000 .58442 .58964 .59466 .59952 .60423 .60880 .61970

30.000 .58325 .58831 .59318 .59788 .60243 .60685 .61737 32.000 .58182 .58674 .59147 .59604 .60045 .60474 .61493 34.000 .58020 .58500 .58961 .59405 .59835 .60251 .61241 36.000 .57844 .58313 .58763 .59197 .59616 .60022 .60986 38.000 .57658 .58117 .58558 .58982 .59392 .59788 .60729

40.000 .57466 .57916 .58348 .58764 .59165 .59553 .60473 45.000 .56969 .57401 .57815 .58213 .58596 .58967 .59843 50.000 .56467 .56885 .57284 .57667 .58036 .58393 .59234 55.000 .55972 .56377 .56765 .57137 .57494 .57839 .58652 60.000 .55490 .55885 .56263 .56625 .56972 .57307 .58097

65.000 .55024 .55410 .55780 .56133 .56473 .56799 .57568 70.000 .54575 .54954 .55316 .55662 .55995 .56314 .57066 75.000 .54143 .54516 .54872 .55212 .55538 .55852 .56588 80.000 .53729 .54097 .54447 .54781 .55102 .55410 .56133 85.000 .53331 .53694 .54039 .54369 .54685 .54988 .55700

90.000 .52950 .53308 .53649 .53974 .54285 .54585 .55286 95.000 .52583 .52937 .53274 .53595 .53903 .54198 .54890 100.000 .52231 .52581 .52914 .53232 .53536 .53828 .54511 125.000 .50656 .50992 .51311 .51614 .51905 .52183 .52833 150.000 .49331 .49657 .49966 .50260 .50541 .50809 .51435

175.000 .48195 .48513 .48814 .49101 .49374 .49636 .50244 200.000 .47204 .47516 .47811 .48092 .48359 .48615 .49210

105
Second virial coefficient for the (16, 6, 8) potential function

T* y

0. 0.2 0.4 0.6 0.8 1.0

.250 -39.58014 -38.48773 -37.43754 -36.42659 -35.45223 -34.51213

.275 -29.34106 -28.50320 -27.69598 -26.91726 -26.16515 -25.43793

.300 -22.84628 -22.17313 -21.52340 -20.89545 -20.28783 - 19.69926

.325 - 18.45236 - 17.89276 - 17.35177 -16.82806 - 16.32051 - 15.82809

.350 - 15.32621 - 14.84882 - 14.38665 - 13.93864 - 13.50385 - 13.08145

.375 - 13.01088 - 12.59536 - 12.19262 - 11.80174 - 11.42194 - 11.05251

.400 - 11.23927 - 10.87182 - 10.51528 - 10.16888 -9.83195 -9.50388

.425 -9.84682 -9.51767 -9.19799 -8.88712 -8.58447 -8.28952

.450 -8.72760 -8.42962 -8.13999 -7.85811 -7.58346 -7.31557

.475 -7.81082 -7.53868 -7.27397 -7.01616 -6.76478 -6.51942

.500 -7.04765 -6.79725 -6.55353 -6.31601 -6.08427 -5.85794

.525 -6.40346 -6.17160 -5.94580 -5.72561 -5.51066 -5.30060

.550 -5.85311 -5.63723 -5.42689 -5.22167 -5.02122 -4.82524

.575 -5.37793 -5.17597 -4.97910 -4.78693 -4.59915 -4.41547

.600 -4.96382 -4.77409 -4.58906 -4.40838 -4.23175 -4.05890

.650 -4.27783 -4.10858 -3.94341 -3.78199 -3.62408 -3.46943

.700 -3.73355 -3.58076 -3.43156 -3.28567 -3.14285 -3.00290

.750 -3.29171 -3.15245 -3.01638 -2.88326 -2.75288 -2.62505

.800 -2.92622 -2.79826 -2.67318 -2.55076 -2.43080 -2.31313

.850 -2.61908 -2.50071 -2.38495 -2.27161 -2.16051 -2.05149

.900 -2.35748 -2.24734 -2.13960 -2.03408 -1.93060 - 1.82902

.950 -2.13210 -2.02911 - 1.92834 - 1.82960 -1.73275 - 1.63766

1.000 - 1.93598 - 1.83925 - 1.74458 - 1.65180 - 1.56078 - 1.47137

1.100 - 1.61153 - 1.52526 - 1.44079 - 1.35798 - 1.27669 - 1.19681

1.200 - 1.35434 - 1.27646 - 1.20018 - 1.12536 - 1.05189 -.97968

1.300 - 1.14565 - 1.07464 - 1.00506 -.93681 -.86977 -.80386

1.400 -.97304 -.90777 -.84380 -.78103 -.71936 -.65871

1.500 -.82801 -.76759 -.70837 -.65025 -.59314 -.53697

1.600 -.70452 -.64826 -.59312 -.53899 -.48579 -.43346

1.700 -.59815 -.54551 -.49390 -.44323 -.39344 -.34444

1.800 -.50564 -.45616 -.40764 -.36001 -.31319 -.26713

1.900 -.42448 -.37779 -.33201 -.28706 -.24287 -.19939

2.000 -.35273 -.30853 -.26518 -.22261 -.18077 -.13959

2.200 -.23174 -.19176 -.15254 -.11404 -.07618 -.03891

2.400 -.13379 -.09725 -.06143 -.02624 .00835 .04240

2.600 -.05300 -.01934 .01367 .04608 .07795 .10932 2.800 .01468 .04590 .07652 .10659 .13615 .16525

3.000 .07210 .10124 .12982 .15787 .18546 .21261 3.200 .12137 .14871 .17551 .20183 .22770 .25316 3.400 .16406 .18982 .21507 .23986 .26423 .28821

3.600 .20134 .22571 .24959 .27304 .29609 .31876 3.800 .23415 .25728 .27995 .30221 .32408 .34560

4.000 .26321 .28524 .30682 .32801 .34883 .36931 4.500 .32298 .34270 .36202 .38097 .39958 .41790

5.000 .36908 .38697 .40450 .42168 .43856 .45516

5.500 .40549 .42191 .43798 .45374 .46921 .48442 6.000 .43481 .45001 .46488 .47946 .49377 .50783 6.500 .45878 .47296 .48683 .50042 .51375 .52684

7.000 .47864 .49196 .50497 .51771 .53021 .54249

7.500 .49528 .50785 .52013 .53214 .54392 .55549

106
Second virial coefficient for the (16, 6, 8) potential function — Continued

y

1 *

0. 0.2 0.4 0.6 0.8 1.0

8.000 .50935 .52126 .53290 .54428 .55544 .56639 8.500 .52133 .53267 .54375 .55458 .56519 .57560 9.000 .53160 .54245 .55302 .56336 .57349 .58342 9.500 .54047 .55086 .56100 .57090 .58060 .59011

10.000 .54816 .55815 .56788 .57740 .58671 .59583

11.000 .56069 .56999 .57905 .58790 .59654 .60501 12.000 .57032 .57905 .58755 .59583 .60393 .61186

13.000 .57778 .58603 .59406 .60188 .60951 .61698

14.000 .58360 .59144 .59906 .60648 .61373 .62081 15.000 .58814 .59563 .60291 .60999 .61689 .62364

16.000 .59169 .59887 .60584 .61262 .61923 .62569

17.000 .59444 .60135 .60806 .61458 .62093 .62712

18.000 .59655 .60323 .60970 .61598 .62210 .62807 19.000 .59814 .60461 .61087 .61695 .62287 .62863 20.000 .59931 .60559 .61166 .61756 .62329 .62887

22.000 .60066 .60661 .61236 .61794 .62335 .62863 24.000 .60103 .60671 .61220 .61751 .62266 .62768 26.000 .60071 .60617 .61143 .61652 .62146 .62625 28.000 .59991 .60517 .61024 .61514 .61989 .62450 30.000 .59875 .60384 .60875 .61348 .61807 .62252

32.000 .59733 .60228 .60704 .61164 .61608 .62039 34.000 .59574 .60056 .60519 .60966 .61398 .61817 36.000 .59401 .59871 .60324 .60759 .61180 .61588 38.000 .59218 .59679 .60121 .60547 .60958 .61356 40.000 .59030 .59481 .59914 .60331 .60734 .61123

45.000 .58543 .58976 .59390 .59788 .60172 .60543 50.000 .58052 .58469 .58868 .59251 .59620 .59976 55.000 .57568 .57972 .58359 .58730 .59087 .59431 60.000 .57096 .57490 .57867 .58227 .58574 .58908 65.000 .56640 .57025 .57393 .57745 .58083 .58408

70.000 .56201 .56579 .56939 .57283 .57614 .57932 75.000 .55779 .56150 .56504 .56841 .57166 .57477 80.000 .55374 .55739 .56087 .56419 .56737 .57044 85.000 .54985 .55345 .55688 .56015 .56328 .56629 90.000 .54612 .54967 .55305 .55627 .55936 .56233

95.000 .54253 .54604 .54938 .55256 .55561 .55854

100.000 .53908 .54255 .54585 .54900 .55201 .55491 125.000 .52366 .52698 .53014 .53314 .53601 .53876 150.000 .51068 .51390 .51695 .51985 .52262 .52527 175.000 .49953 .50267 .50564 .50847 .51116 .51374

200.000 .48980 .49288 .49579 .49855 .50119 .50371

107
Second virial coefficient for the (17, 6, 8) potential function

T* y

0. 0.2 0.4 0.6 0.8 1.0

.250 -38.07590 -36.96386 -35.89649 -34.87056 -33.88322 -32.93194

.275 -28.22559 -27.37194 -26.55069 -25.75952 -24.99638 -24.25945

.300 -21.97601 -21.28969 -20.62811 -19.98949 - 19.37229 - 18.77512

.325 - 17.74706 - 17.17617 - 16.62492 - 16.09189 -15.57586 -15.07573

.350 - 14.73766 - 14.25040 - 13.77919 - 13.32289 - 12.88049 -12.45110

.375 - 12.50837 - 12.08409 - 11.67326 - 11.27491 -10.88821 -10.51240

.400 - 10.80229 - 10.42695 - 10.06310 -9.70991 -9.36666 -9.03271

.425 -9.46112 -9.12479 -8.79844 -8.48134 -8.17287 -7.87245

.450 -8.38295 -8.07839 -7.78262 -7.49498 -7.21492 -6.94195

.475 -7.49965 -7.22144 -6.95105 -6.68788 -6.43146 -6.18133

.500 -6.76426 -6.50823 -6.25921 -6.01669 -5.78023 -5.54941

.525 -6.14344 -5.90632 -5.67556 -5.45068 -5.23128 -5.01699

.550 -5.61298 -5.39218 -5.17717 -4.96754 -4.76289 -4.56290

.575 -5.15493 -4.94834 -4.74707 -4.55073 -4.35897 -4.17148

.600 -4.75571 -4.56160 -4.37241 -4.18777 -4.00736 -3.83088

.650 -4.09429 -3.92110 -3.75216 -3.58716 -3.42581 -3.26785

.700 -3.56940 -3.41303 -3.26041 -3.11124 -2.96526 -2.82228

.750 -3.14325 -3.00070 -2.86149 -2.72535 -2.59205 -2.46141

.800 -2.79068 -2.65969 -2.53170 -2.40648 -2.28381 -2.16353

.850 -2.49436 -2.37317 -2.25471 -2.13876 -2.02513 - 1.91367

.900 -2.24196 -2.12919 -2.01892 - 1.91095 - 1.80510 - 1.70123

.950 -2.02447 - 1.91902 - 1.81587 - 1.71484 - 1.61576 - 1.51850

1.000 - 1.83521 .. - 1.73616 - 1.63925 - 1.54431 - 1.45117 - 1.35973

1.100 - 1.52206 - 1.43371 - 1.34724 - 1.26248 - 1.17929 - 1.09757

1.200 - 1.27379 - 1.19403 - 1.11593 - 1.03935 -.96416 -.89027

1.300 - 1.07231 -.99959 -.92835 -.85848 -.78987 -.72242

1.400 -.90565 -.83880 -.77330 -.70905 -.64593 -.58386

1.500 -.76561 -.70373 -.64310 -.58359 -.52514 -.46764

1.600 -.64635 -.58874 -.53227 -.47686 -.42241 -.36884

1.700 -.54362 -.48971 -.43687 -.38500 -.33403 -.28388

1.800 -.45427 -.40360 -.35393 -.30517 -.25724 -.21009

1.900 -.37587 -.32806 -.28119 -.23518 -.18995 -.14544

2.000 -.30657 -.26130 -.21693 -.17335 -.13052 -.08837

2.200 -.18969 -.14875 -.10861 -.06919 -.03044 .00770

2.400 -.09505 -.05765 -.02098 .01503 .05043 .08528

2.600 -.01698 .01747 .05124 .08441 .11702 .14912 2.800 .04841 .08036 .11169 .14246 .17270 .20248 3.000 .10390 .13372 .16295 .19165 .21987 .24765 3.200 .15152 .17948 .20690 .23381 .26028 .28632 3.400 .19277 .21912 .24494 .27029 .29522 .31975

3.600 .22881 .25373 .27815 .30212 .32569 .34888 3.800 .26053 .28417 .30735 .33010 .35246 .37446 4.000 .28862 .31113 .33319 .35484 .37612 .39706 4.500 .34639 .36654 .38627 .40563 .42465 .44337 5.000 .39096 .40923 .42712 .44467 .46191 .47886

5.500 .42616 .44292 .45932 .47540 .49119 .50672 6.000 .45451 .47002 .48519 .50006 .51465 .52900 6.500 .47769 .49215 .50629 .52014 .53373 .54709

7.000 .49690 .51047 .52373 .53671 .54945 .56196

7.500 .51299 .52579 .53829 .55053 .56253 .57432

108
Second virial coefficient for the {17, 6, 8) potential function — Continued

T* y

0. 0.2 0.4 0.6 0.8 1.0

8.000 .52659 .53872 .55056 .56216 .57352 .58467 8.500 .53818 .54972 .56099 .57201 .58281 .59340 9.000 .54812 .55914 .56990 .58041 .59072 .60082 9.500 .55670 .56726 .57756 .58762 .59748 .60715

10.000 .56413 .57428 .58417 .59383 .60329 .61257

11.000 .57626 .58569 .59488 .60386 .61264 .62124

12.000 .58557 .59442 .60303 .61143 .61964 .62768

13.000 .59278 .60114 .60926 .61718 .62492 .63249

14.000 .59841 .60634 .61405 .62156 .62890 .63607 15.000 .60280 .61037 .61772 .62488 .63186 .63869

16.000 .60623 .61348 .62052 .62737 .63405 .64058

17.000 .60888 .61586 .62263 .62921 .63562 .64188

18.000 .61092 .61765 .62418 .63052 .63669 .64272 19.000 .61246 .61897 .62528 .63141 .63737 .64319 20.000 .61358 .61990 .62602 .63195 .63773 .64336

22.000 .61487 .62086 .62664 .63225 .63770 .64301 24.000 .61522 .62093 .62643 .63177 .63695 .64199 26.000 .61491 .62037 .62565 ' .63076 .63571 .64053 28.000 .61411 .61938 .62446 .62937 .63413 .63875 30.000 .61298 .61807 .62298 .62772 .63232 .63677

32.000 .61160 .61654 .62130 .62589 .63034 .63466 34.000 .61004 .61485 .61948 .62394 .62826 .63245 36.000 .60835 .61304 .61755 .62190 .62611 .63018 38.000 .60657 .61116 .61557 .61981 .62392 .62789 40.000 .60473 .60923 .61354 .61770 .62171 .62559

45.000 .59999 .60428 .60840 .61236 .61618 .61987 50.000 .59520 .59933 .60330 .60710 .61077 .61431 55.000 .59047 .59448 .59831 .60199 .60553 .60895 60.000 .58587 .58977 .59350 .59707 .60051 .60382 65.00 .58142 .58523 .58887 .59235 .59570 .59892

70.000 .57714 .58087 .58442 .58783 .59110 .59425 75.000 .57302 .57668 .58017 .58351 .58671 .58979 80.000 .56906 .57266 .57609 .57937 .58252 .58554

85.000 .56527 .56881 .57219 .57542 .57851 .58148 90.000 .56162 .56512 .56845 .57163 .57467 .57760

95.000 .55811 .56157 .56485 .56799 .57100 .57388

100.000 .55474 .55816 .56141 .56451 .56747 .57032 125.000 .53966 .54293 .54602 .54897 .55179 .55450

150.000 .52696 .53011 .53310 .53595 .53867 .54127 175.000 .51604 .51911 .52203 .52480 .52744 .52996

200.000 .50650 .50951 .51236 .51507 .51765 .52012

109

498-740 0 - 74 -8
Second virial coefficient for the (18, 6, 8) potential function

y

* y

0. 0.2 0.4 0.6

.250 - 36.74057 - 35.61458 - 34.53527 - 33.49921

.275 - 27.23671 - 26.37162 - 25.54039 - 24.74051

.300 - 21.20541 - 20.50941 - 19.83924 - 19.19301

.325 - 17.12318 - 16.54392 - 15.98513 - 15.44532

.350 - 14.21753 - 13.72288 - 13.24496 - 12.78256

.375 - 12.06463 - 11.63374 - 11.21686 - 10.81297

.400 - 10.41668 - 10.03536 -9.66601 - 9.30773

.425 - 9.12096 - 8.77919 - 8.44778 - 8.12598

.450 - 8.07915 - 7.76958 - 7.46914 - 7.17713

.475 - 7.22550 - 6.94266 - 6.66792 - 6.40068

.500 - 6.51469 - 6.25434 -6.00127 - 5.75493

.525 - 5.91453 - 5.67338 - 5.43881 - 5.21033

.550 - 5.40167 - 5.17707 - 4.95848 - 4.74544

.575 - 4.95875 — 4.74858 - 4.54392 - 4.34436

.600 - 4.57267 - 4.37518 -4.18278 - 3.99508

.650 - 3.93293 - 3.75669 — 3.58484 - 3.41706

.700 - 3.42515 - 3.26600 - 3.11072 - 2.95899

.750 - 3.01282 - 2.86772 - 2.72606 - 2.58756

.800 - 2.67164 - 2.53829 - 2.40803 - 2.28061

.850 - 2.38485 - 2.26146 - 2.14089 - 2.02289

.900 - 2.14052 - 2.02571 - 1.91346 - 1.80358

.950 - 1.92999 - 1.82261 - 1.71760 - 1.61477

1.000 - 1.74674 - 1.64588 - 1.54722 - 1.45058

1.100 - 1.44352 - 1.35356 - 1.26551 - 1.17922

1.200 - 1.20308 - 1.12186 - 1.04233 - .96436

1.300 - 1.00793 - .93387 -.86133 - .79019

1.400 - .84649 -.77841 -.71171 - .64628

1.500 -.71081 - .64780 -.58605 - .52547

1.600 -.59526 - .53659 - .47910 - .42267

1.700 - .49572 - .44082 -.38701 - .33420

1.800 -.40913 - .35753 -.30695 - .25731

1.900 -.33315 - .28447 - .23675 -.18989

2.000 -.26598 -.21990 -.17471 -.13035

2.200 -.15269 -.11101 -.07014 - .03002 2.400 -.06095 - .02288 .01445 .05111

2.600 .01474 .04980 .08418 .11794

2.800 .07814 .11066 .14255 .17385 3.000 .13196 .16229 .19204 .22124 3.200 .17814 .20658 .23447 .26186 3.400 .21815 .24494 .27121 .29700

3.600 .25310 .27844 .30327 .32766 3.800 .28386 .30791 .33147 .35460 4.000 .31111 .33400 .35643 .37844

4.500 .36717 .38763 .40768 .42736 5.000 .41041 .42897 .44714 .46496

5.500 .44457 .46158 .47823 .49456 6.000 .47209 .48782 .50321 .51830 6.500 .49460 .50925 .52359 .53764 7.000 .51325 .52699 .54043 .55360 7.500 .52887 .54183 .55450 .56690 110
Second virial coefficient for the (18, 6, 8) potential function — Continued

y

1

0. 0.2 0.4 0.6

8.000 .54208 .55435 .56635 .57809 8.500 .55333 .56501 .57641 .58757 9.000 .56299 .57414 .58501 .59566 9.500 .57132 .58199 .59241 .60259 10.000 .57854 .58879 .59879 .60856

11.000 .59033 .59985 .60913 .61820

12.000 .59938 .60830 .61699 .62547 13.000 .60640 .61482 .62300 .63099

14.000 .61187 .61986 .62762 .63519 15.000 .61615 .62376 .63116 .63836

16.000 .61948 .62677 .63385 .64074 17.000 .62207 .62907 .63587 .64248 18.000 .62405 .63081 .63736 .64373 19.000 .62555 .63208 .63841 .64456 20.000 .62665 .63298 .63911 .64506

22.000 .62792 .63390 .63969 .64531 24.000 .62827 .63396 .63947 .64480 26.000 .62796 .63342 .63869 .64379 28.000 .62720 .63245 .63751 .64241 32.000 .62476 .62968 .63442 .63899

30.000 .62610 .63117 .63606 .64079 34.000 .62325 .62803 .63263 .63707 36.000 .62161 .62627 .63075 .63508 38.000 .61988 .62444 .62881 .63303 40.000 .61809 .62255 .62683 .63095

45.000 .61348 .61774 .62181 .62574 50.000 .60882 .61291 .61683 .62059 55.000 .60422 .60818 .61197 .61560 60.000 .59974 .60359 .60726 .61079 65.000 .59541 .59916 .60274 .60618

70.000 .59124 .59490 .59841 .60176 75.000 .58722 .59082 .59425 .59753 80.000 .58336 .58690 .59027 .59349 85.000 .57966 .58314 .58645 .58962 90.000 .57610 .57953 .58280 .58592

95.000 .57268 .57607 .57929 .58237 100.000 .56939 .57274 .57592 .57896 125.000 .55466 .55785 .56088 .56376 150.000 .54224 .54532 .54824 .55102 175.000 .53155 .53455 .53739 .54009

200.000 .52221 .52514 .52792 .53056

111
Table 5. 7 he first derivative of the (m, 6, 8) potential for various values of m and y T* for the (9, 6, 8) potential function

T*

7

0. 1. 2. 3. 4. 5.

.275 132.23556 128.38747 124.75490 121.31648 118.05418 114.95262

.300 95.03545 92.22940 89.57638 87.06127 84.67132 82.39567

.325 71.72262 69.57564 67.54275 65.61270 63.77602 62.02462

.350 56.24261 54.53719 52.92018 51.38285 49.91788 48.51903

.375 45.47235 44.07687 42.75202 41.49083 40.28747 39.13694

.400 37.68635 36.51682 15.40517 34.34568 33.33355 32.36472

.425 31.87539 30.87589 29.92480 29.01735 28.14950 27.31786

.450 27.42045 26.55233 25.72543 24.93565 24.17958 23.45430

.475 23.92609 23.16181 22.43313 21.73652 21.06900 20.42807

.500 21.13078 20.45018 19.80072 19.17928 18.58329 18.01054

.525 18.85624 18.24420 17.65969 17.09996 16.56271 16.04599

.550 16.97769 16.42266 15.89219 15.38384 14.89553 14.42554

.575 15.40572 14.89870 14.41379 13.94875 13.50176 13.07122

.600 14.07498 13.60885 13.16276 12.73468 12.32293 11.92609

.650 11.95418 11.55376 11.17012 10.80154 10.44660 10.10413

.700 10.34877 9.99864 9.66283 9.33988 9.02858 8.72789

.750 9.09797 8.78741 8.48928 8.20230 7.92543 7.65776

.800 8.09995 7.82123 7.55346 7.29551 7.04644 6.80546

.850 7.28753 7.03496 6.79213 6.55804 6.33185 6.11286

.900 6.61488 6.38412 6.16212 5.94797 5.74091 5.54031

.950 6.04980 5.83748 5.63311 5.43585 5.24502 5.06003

1.000 5.56906 5.37253 5.18326 5.00049 4.82357 4.65199

1.100 4.79638 4.62546 4.46069 4.30143 4.14714 3.99736

1.200 4.20402 4.05292 3.90715 3.76614 3.62943 3.49661

1.300 3.73641 3.60110 3.47046 3.34402 3.22134 3.10209

1.400 3.35843 3.23597 3.11768 3.00311 2.89190 2.78373

1.500 3.04686 2.93507 2.82703 2.72233 2.62065 2.52170

1.600 2.78580 2.68300 2.58360 2.48724 2.39360 2.30244

1.700 2.56401 2.46888 2.37687 2.28763 2.20088 2.11639

1.800 2.37331 2.28482 2.19918 2.11610 2.03530 1.95659

1.900 2.20765 2.12494 2.04487 1.96716 1.89157 1.81790 2.000 2.06243 1.98480 1.90963 1.83666 1.76565 1.69642 2.200 1.81990 1.75081 1.68387 1.61884 1.55553 1.49378

2.400 1.62551 1.56330 1.50299 1.44437 1.38728 1.33156 2.600 1.46625 1.40970 1.35485 1.30152 1.24955 1.19882

2.800 1.33343 1.28161 1.23133 1.18243 1.13475 1.08819 3.000 1.22096 1.17317 1.12678 1.08163 1.03761 .99460 3.200 1.12452 1.08019 1.03713 .99523 .95434 .91439 3.400 1.04091 0.99958 0.95943 0.92034 0.88219 0.84490

3.600 0.96774 0.92904 0.89143 0.85481 0.81905 0.78410

3.800 0.90316 0.86679 0.83143 0.79698 0.76335 0.73046

4.000 0.84575 0.81145 0.77809 0.74559 0.71385 0.68280

4.500 0.72670 0.69670 0.66751 0.63905 0.61124 0.58401

5.000 0.63353 0.60690 0.58098 0.55568 0.53095 0.50674

5.500 0.55863 0.53472 0.51142 0.48868 0.46643 0.44464

6.000 0.49711 0.47544 0.45430 0.43365 0.41345 0.39365

6.500 0.44570 0.42589 0.40656 0.38767 0.36917 0.35104

7.000 0.40209 0.38386 0.36606 0.34866 0.33162 0.31491

7.500 0.36465 0.34777 0.33129 0.31517 0.29938 0.28388

8.000 0.33215 0.31645 0.30112 0.28610 0.27139 0.25695 112
T* -ppi

- for the (9, 6, 8) potential function — Continued

1 * n 1. 2. 3. 4. 5.

8.500 0.30368 0.28902 0.27468 0.26064 0.24688 0.23337

9.000 0.27855 0.26479 0.25134 0.23816 0.22523 0.21254

9.500 0.25619 0.24325 0.23058 0.21816 0.20598 0.19402

10.000 0.23619 0.22397 0.21200 0.20027 0.18875 0.17744

11.000 0.20189 0.19091 0.18015 0.16959 0.15922 0.14902

12.000 0.17358 0.16362 0.15385 0.14426 0.13483 0.12555

13.000 0.14982 0.14072 0.13178 0.12300 0.11436 0.10586

14.000 0.12962 0.12124 0.11301 0.10492 0.09696 0.08912

15.000 0.11224 0.10449 0.09687 0.08937 0.08198 0.07471

16.000 0.09715 0.08993 0.08284 0.07585 0.06897 0.06219

17.000 0.08393 0.07718 0.07054 0.06400 0.05756 0.05121

18.000 0.07226 0.06592 0.05969 0.05354 0.04749 0.04152

19.000 0.06189 0.05592 0.05004 0.04425 0.03854 0.03291 20.000 0.05263 0.04697 0.04141 0.03593 0.03053 0.02521 22.000 0.03681 0.03169 0.02666 0.02171 0.01684 0.01203

24.000 .02384 .01914 .01454 .01002 .00557 .00118 26.000 .01258 .00869 .00444 .00027 -.00383 -.00787

28.000 .00331 -.00011 -.00408 -.00797 -.01177 -.01552

30.000 -.00463 -.00818 -.01134 -.01499 -.01855 -.02205

32.000 -.01148 -.01479 -.01809 -.02102 -.02439 -.02768

34.000 -.01746 -.02055 -.02364 -.02624 -.02944 -.03256

36.000 -.02270 -.02561 -.02851 -.03140 -.03385 -.03682

38.000 -.02734 -.03007 -.03281 -.03554 -.03825 -.04055

40.000 -.03145 -.03404 -.03663 -.03922 -.04179 -.04384

45.000 -.03995 -.04223 -.04452 -.04681 -.04908 -.05134

50.000 -.04652 -.04856 -.05062 -.05267 -.05472 -.05675

55.000 -.05171 -.05356 -.05543 -.05730 -.05916 -.06101

60.000 -.05589 -.05758 -.05929 -.06101 -.06272 -.06442

65.000 -.05928 -.06085 -.06244 -.06403 -.06562 -.06719

70.000 -.06209 -.06355 -.06503 -.06651 -.06799 -.06947

75.000 -.06442 -.06579 -.06718 -.06857 -.06997 -.07135

80.000 -.06637 -.06767 -.06898 -.07030 -.07161 -.07292

85.000 -.06802 -.06925 -.07050 -.07175 -.07300 -.07424

90.000 -.06942 -.07059 -.07178 -.07298 -.07417 -.07535

95.000 -.07061 -.07173 -.07287 -.07402 -.07516 -.07629

100.000 -.07163 -.07271 -.07381 -.07491 -.07600 -.07709

125.000 -.07494 -.07587 -.07680 -.07774 -.07868 -.07960

150.000 -.07648 -.07731 -.07816 -.07900 -.07983 -.08066

175.000 -.07711 -.07788 -.07867 -.07945 -.08022 -.08098

200.000 -.07723 -.07797 -.07872 -.07945 -.08018 -.08089

113
T* for the (10, 6, 8) potential function

T* 7

0. 1. 2. 3. 4.

.250 180.93099 171.92168 163.77340 156.35323 149.55892

.275 121.93115 115.75682 110.15615 105.04127 100.34471

.300 87.57715 83.07073 78.97139 75.21716 71.76051

.325 66.05619 62.60530 59.45768 56.56736 53.89915

.350 51.77131 49.02806 46.51955 44.21030 42.07319

.375 41.83618 39.58987 37.53093 35.63108 33.86876

.400 34.65642 32.77262 31. 0< 16 29.44192 27.95428

.425 29.29974 27.68885 26.20608 24.83212 23.55226

.450 25.19441 23.79451 22.50354 21.30505 20.18655

.475 21.97528 20.74222 19.60313 18.54381 17.55348

.500 19.40093 18.30237 17.28589 16.33908 15.45251

.525 17.30678 16.31847 15.40265 14.54832 13.74717

.550 15.57770 14.68110 13.84911 13.07191 12.34209

.575 14.13120 13.31186 12.55059 11.83854 11.16904

.600 12.90698 12.15346 11.45252 10.79612 10.17821

.650 10.95661 10.30896 9.70519 9.13857 8.60404

.700 9.48089 8.91428 8.38507 7.88749 7.41721

.750 8.33161 7.82879 7.35839 6.91538 6.49598

.800 7.41493 6.96350 6.54055 6.14165 5.76346

.850 6.66898 6.25975 5.87584 5.51328 5.16909

.900 6.05157 5.67755 5.32626 4.99413 4.67845

.950 5.53304 5.18882 4.86518 4.55886 4.26742

1.000 5.09202 4.77332 4.47339 4.18923 3.91863

1.100 4.38344 4.10613 3.84471 3.59662 3.35998

1.200 3.84046 3.59521 3.36369 3.14367 2.93350

1.300 3.41198 3.19228 2.98462 2.78704 2.59809

1.400 3.06574 2.86685 2.67866 2.49943 2.32784

1.500 2.78041 2.59881 2.42680 2.26283 2.10571

1.600 2.54140 2.37436 2.21602 2.06495 1.92007

1.700 2.33838 2.18378 2.03712 1.89709 1.76271

1.800 2.16386 2.02000 1.88344 1.75297 1.62769

1.900 2.01228 1.87779 1.75005 1.62794 1.51060 2.000 1.87941 1.75318 1.63320 1.51845 1.40813 2.200 1.65756 1.54517 1.43825 1.33587 1.23736 2.400 1.47978 1.37855 1.28215 1.18978 1.10082

2.600 1.33416 1.24211 1.15438 1.07026 .98919

2.800 1.21271 1.12835 1.04790 .97069 .89624

3.000 1.10990 1.03207 .95779 .88647 .81766 3.200 1.02174 .94952 .88056 .81431 .75035 3.400 .94531 .87797 .81363 .75179 .69206

3.600 .87842 .81536 .75507 .69710 .64108 3.800 .81939 .76011 .70341 .64886 .59613 4.000 .76692 .71100 .65749 .60599 .55619 4.500 .65811 .60918 .56231 .51715 .47345

5.000 .57294 .52950 .48783 .44766 .40875

5.500 .50448 .46544 .42797 .39182 .35678 6.000 .44824 .41283 .37882 .345% .31411 6.500 .40124 .36886 .33773 .30764 .27845

7.000 .36136 .33156 .30288 .27514 .24822

7.500 .32712 .29953 .27295 .24723 .22225

114
dB

T* for the {10, 6, 8) potential function — Continued

1 *

0. 1. 2 . 3 . 4 .

8.000 .29740 .27172 .24697 .22301 .19972

8.500 .27136 .24736 .22421 .20178 .17998

9.000 .24837 .22585 .20411 .18304 .16255 9.500 .22792 .20671 .18623 16637 .14705

10.000 .20961 .18958 .17023 .15145 .13317

11.000 .17822 .16021 .14279 .12586 .10937

12.000 .15230 .13596 .12012 .10473 .08972

13.000 .13055 .11560 .10110 .08699 .07323

14.000 .11205 .09828 .08491 .07190 .05920

15.000 .09612 .08338 .07099 .05891 .04712

16.000 .08228 .07042 .05888 .04762 .03662

17.000 .07015 .05907 .04827 .03773 .02742

18.000 .05944 .04904 .03889 .02899 .01930

19.000 .04991 .04012 .03056 .02122 .01207 20.000 .04139 .03214 .02310 .01426 .00561

22.000 .02681 .01848 .01033 .00236 -.00545

24.000 .01480 .00723 -.00018 -.00744 -.01456

26.000 .00477 -.00217 -.00897 -.01563 -.02217

28.000 -.00370 -.01013 -.01641 -.02257 -.02862

30.000 -.01095 -.01694 -.02278 -.02851 -.03413

32.000 -.01719 -.02281 -.02828 -.03364 -.03889

34.000 -.02261 -.02792 -.03307 -.03810 -.04304

36.000 -.02734 -.03240 -.03727 -.04202 -.04668

38.000 -.03149 -.03633 -.04097 -.04547 -.04988

40.000 -.03575 -.03981 -.04424 -.04854 -.05273

45.000 -.04357 -.04691 -.05096 -.05482 -.05857

50.000 -.04962 -.05305 -.05606 -.05962 -.06305

55.000 -.05441 -.05752 -.06062 -.06334 -.06653

60.000 -.05826 -.06111 -.06396 -.06625 -.06926

65.000 -.06140 -.06404 -.06668 -.06929 -.07141

70.000 -.06398 -.06645 -.06891 -.07135 -.07376

75.000 -.06614 -.06845 -.07077 -.07306 -.07532

80.000 -.06794 -.07013 -.07232 -.07448 -.07662

85.000 -.06947 -.07155 -.07362 -.07568 -.07770

90.000 -.07076 -.07275 -.07473 -.07668 -.07861

95.000 -.07187 -.07377 -.07566 -.07754 -.07938

100.000 -.07281 -.07464 -.07646 -.07826 -.08002

125.000 -.07588 -.07744 -.07899 -.08052 -.08201

150.000 -.07731 -.07871 -.08010 -.08146 -.08278

175.000 -.07789 -.07920 -.08048 -.08172 -.08293

200.000 -.07800 -.07925 -.08046 -.08162 -.08275

115
dB

T*

jY* for the (11, 6, 8) potential function

T* 7

0. 1. 1.5 2.0 2.5 3.0

.250 168.62690 157.48533 152.44612 147.71271 143.25584 139.05048

.275 113.59996 105.95624 102.48842 99.22460 96.14548 93.23461

.300 81.56649 75.98204 73.44094 71.04470 68.77977 66.63458

.325 61.50358 57.22321 55.26999 53.42473 51.67739 50.01945

.350 48.18930 44.78375 43.22559 41.75099 40.35223 39.02276

.375 38.93108 36.14027 34.86021 33.64681 32.49395 31.39644

.400 32.24180 29.89969 28.82295 27.80074 26.82806 25.90069

.425 27.25198 25.24787 24.32455 23.44675 22.61032 21.81174

.450 23.42849 21.68583 20.88137 20.11559 19.38494 18.68645

.475 20.43087 18.89506 18.18479 17.50784 16.86119 16.24225

.500 18.03405 16.66506 16.03088 15.42577 14.84709 14.29260

.525 16.08462 14.85245 14.28075 13.73471 13.21197 12.71056

.550 14.47526 13.35695 12.83732 12.34054 11.86450 11.40745

.575 13.12911 12.10675 11.63108 11.17590 10.73935 10.31984

.600 11.98997 11.04941 10.61124 10.19161 9.78882 9.40143

.650 10.17549 9.36653 8.98881 8.62654 8.27829 7.94285

.700 8.80290 8.09476 7.76347 7.44531 7.13906 6.84370

.750 7.73416 7.10544 6.81079 6.52750 6.25450 5.99091

.800 6.88188 6.31717 6.05211 5.79701 5.55093 5.31309

.850 6.18847 5.67634 5.43564 5.20376 4.97988 4.76330

.900 5.61463 5.14641 4.92607 4.71364 4.50836 4.30963

.950 5.13277 4.70171 4.49864 4.30271 4.11325 3.92968

1.000 4.72299 4.32378 4.13552 3.95376 3.77788 3.60737

1.100 4.06472 3.71717 3.55299 3.39429 3.24056 3.09134

1.200 3.56039 3.25290 3.10742 2.96667 2.83019 2.69759

1.300 3.16249 2.88693 2.75639 2.62999 2.50732 2.38804

1.400 2.84100 2.59147 2.47312 2.35845 2.24708 2.13872

1.500 2.57611 2.34819 2.23999 2.13508 2.03313 1.93387

1.600 2.35424 2.14454 2.04491 1.94825 1.85426 1.76271

1.700 2.16580 1.97167 1.87937 1.78977 1.70261 1.61766

1.800 2.00383 1.82315 1.73718 1.65370 1.57245 1.49322

1.900 1.86315 1.69421 1.61378 1.53564 1.45955 1.38534

2.000 1.73985 1.58125 1.50569 1.43225 1.36073 1.29094 2.200 1.53399 1.39273 1.32537 1.25985 1.19600 1.13366 2.400 1.36903 1.24176 1.18101 1.12189 1.06425 1.00793

2.600 1.23392 1.11816 1.06286 1.00902 .95650 .90516 2.800 1.12124 1.01513 .96439 .91498 .86675 .81959 3.000 1.02586 .92793 .88108 .83543 .79086 ..74726 3.200 .94406 . 853^8 .80967 .76727 .72585 .68532

3.400 .87316 .78839 .74779 .70821 .66953 .63167

3.600 .81110 .73170 .69366 .65655 .62028 .58476 3.800 .75633 .68168 .64589 .61097 .57683 .54340 4.000 .70765 .63722 .60343 .57047 .53823 .50665 4.500 .60669 .54503 .51543 .48652 .45823 .43051 5.000 .52766 .47289 .44656 .42084 .39566 .37097

5.500 .46412 .41489 .39121 .36806 .34538 .32314

6.000 .41193 .36725 .34574 .32471 .30410 .28387 6.500 .36829 .32743 .30774 .28847 .26959 .25105

7.000 .33128 .29364 .27549 .25773 .24032 .22322

7.500 .29948 .26462 .24780 .23133 .21518 .19931

116
HR*

X* H£_ for the (11,6, 8) potential function

Continued

1 *

0. 1. 1.5 2.0 2.5 3.0

8.000 .27188 .23943 .22376 .20841 .19336 .17856 8.500 .24770 .21736 .20270 .18833 .17424 .16038 9.000 .22634 .19786 .18409 .17060 .15735 .14432 9.500 .20734 .18052 .16754 .15482 .14233 .13004

10.000 .19033 .16499 .15272 .14069 .12888 .11725

11.000 .16116 .13836 .12731 .11646 .10581 .09532 12.000 .13707 .11636 .10631 .09645 .08675 .07720

13.000 .11684 .09789 .08868 .07964 .07075 .06199

14.000 .09963 .08217 .07368 .06534 .05713 .04905

15.000 .08482 .06864 .06077 .05303 .04541 .03790

16.000 .07194 .05687 .04954 .04232 .03522 .02822

17.000 .06065 .04656 .03969 .03294 .02628 .01972

18.000 .05067 .03744 .03099 .02464 .01839 .01222 19.000 .04180 .02934 .02326 .01727 .01136 .00554 20.000 .03386 .02208 .01633 .01067 .00508 -.00043

22.000 .02026 .00966 .00447 -.00064 -.00568 -.01066

24.000 .00905 -.00058 -.00530 -.00995 -.01455 -.01908

26.000 -.00032 -.00915 -.01347 -.01774 -.02196 -.02613

28.000 -.00826 -.01640 -.02040 -.02435 -.02824 -.03210

30.000 -.01507 -.02262 -.02633 -.03000 -.03362 -.03721

32.000 -.02095 -.02800 -.03147 -.03489 -.03827 -.04162

34.000 -.02607 -.03269 -.03594 -.03915 -.04233 -.04547

36.000 -.03057 -.03681 -.03987 -.04289 -.04589 -.04884

38.000 -.03455 -.04044 -.04334 -.04620 -.04903 -.05183

40.000 -.03807 -.04368 -.04642 -.04914 -.05182 -.05447

45.000 -.04533 -.05034 -.05278 -.05519 -.05758 -.05993

50.000 -.05088 -.05548 -.05769 -.05987 -.06202 -.06414

55.000 -.05521 -.05951 -.06155 -.06355 -.06551 -.06745

60.000 -.05861 -.06271 -.06462 -.06648 -.06830 -.07009

65.000 -.06220 -.06527 -.06709 -.06885 -.07055 -.07222

70.000 -.06464 -.06732 -.06908 -.07076 -.07238 -.07396

75.000 -.06667 -.06966 -.07069 -.07231 -.07387 -.07537

80.000 -.06838 -.07120 -.07199 -.07357 -.07508 -.07652

85.000 -.06982 -.07250 -.07383 -.07459 -.07606 -.07746

90.000 -.07105 -.07361 -.07487 -.07612 -.07685 -.07822

95.000 -.07210 -.07455 -.07576 -.07695 -.07749 -.07883

100.000 -.07299 -.07535 -.07651 -.07766 -.07879 -.07932

125.000 -.07592 -.07793 -.07892 -.07989 -.08085 -.08179

150.000 -.07731 -.07911 -.07999 -.08085 -.08170 -.08253

175.000 -.07789 -.07956 -.08037 -.08116 '-.08193 -.08268

200.000 -.07803 -.07961 -.08037 -.08110 -.08182 -.08253

117
dB*

T* for the (12, 6, 8) potential function

T*

y

0. 0.5 1.0 1.5 2.0 2.5

.250 158.42230 151.90684 145.90130 140.34209 135.17765 130.36530

.275 106.70863 102.23918 98.10906 94.27642 90.70733 87.37373

.300 76.60726 73.34238 70.31798 67.50465 64.87856 62.42007

.325 57.75641 55.25435 52.93119 50.76518 48.73873 46.83735

.350 45.24772 43.25737 41.40529 39.67473 38.05220 36.52657

.375 36.55049 34.91970 33.39911 31.97540 30.63787 29.37770

.400 30.26708 28.89873 27.62041 26.42128 25.29262 24.22725

.425 25.58040 24.40972 23.31415 22.28465 21.31395 20.39610

.450 21.98948 20.97170 20.01766 19.11970 18.27166 17.46851

.475 19.17441 18.27757 17.43564 16.64201 15.89138 15.17942

.500 16.92369 16.12440 15.37300 14.66372 13.99193 13.35387

.525 15.09322 14.37391 13.69684 13.05689 12.45000 11.87284

.550 13.58216 12.92941 12.31425 11.73213 11.17942 10.65316

.575 12.31829 11.72163 11.15871 10.62543 10.11854 9.63537

.600 11.24885 10.70000 10.18164 9.69008 9.22236 8.77606

.650 9.54551 9.07356 8.62701 8.20275 7.79831 7.41170

.700 8.25712 7.84407 7.45262 7.08011 6.72443 6.38387

.750 7.25401 6.88736 6.53938 6.20776 5.89068 5.58665

.800 6.45414 6.12487 5.81197 5.51341 5.22758 4.95316

.850 5.80341 5.50484 5.22080 4.94947 4.68941 4.43947

.900 5.26492 4.99198 4.73207 4.48353 4.24508 4.01567

.950 4.81276 4.56152 4.32205 4.09285 3.87276 3.66082

1.000 4.42826 4.19561 3.97367 3.76108 3.55677 3.35986

1.100 3.81064 3.60814 3.41468 3.22911 3.05050 2.87813

1.200 3.33749 3.15836 2.98701 2.82245 2.66389 2.51067

1.300 2.96420 2.80369 2.65000 2.50224 2.35972 2.22186

1.400 2.66262 2.51729 2.37800 2.24397 2.11457 1.98930

1.500 2.41414 2.28141 2.15409 2.03149 1.91303 1.79826

1.600 2.20602 2.08391 1.96671 1.85375 1.74455 1.63867

1.700 2.02926 1.91623 1.80766 1.70298 1.60169 1.50344

1.800 1.87733 1.77213 1.67104 1.57351 1.47909 1.38745

1.900 1.74537 1.64702 1.55245 1.46117 1.37276 1.28691 2.000 1.62972 1.53739 1.44857 1.36279 1.27968 1.19893 2.200 1.43663 1.35440 1.27524 1.19872 1.12451 1.05237 2.400 1.28190 1.20782 1.13644 1.06740 1.00041 .93523

2.600 1.15517 1.08779 1.02283 .95996 .89891 .83949 2.800 1.04948 .98772 .92813 .87043 .81438 .75979

3.000 .96000 .90301 .84799 .79469 .74289 .69241 3.200 .88328 .83038 .77930 .72979 .68164 .63471 3.400 .81676 .76743 .71976 .67355 .62859 .58475

3.600 .75854 .71233 .66767 .62434 .58218 .54106 3.800 .70716 .66371 .62170 .58093 .54125 .50253 4.000 .66148 .62049 .58084 .54235 .50488 .46830 4.500 .56675 .53087 .49613 .46238 .42950 .39738

5.000 .49260 .46071 .42983 .39980 .37053 .34192

5.500 .43296 .40431 .37652 .34950 .32314 .29736 6.000 .38397 .35796 .33274 .30818 .28422 .26077 6.500 .34301 .31922 .29612 .27364 .25168 .23019

7.000 .30826 .28634 .26506 .24433 .22408 .20425

7.500 .27840 .25810 .23838 .21915 .20037 .18197

118
T* ^for (-^2, 6, 8) potential function — Continued

1 *

0. 0.5 1.0 1.5 2.0 2.5

8.000 .25248 .23358 .21521 .19729 .17978 .16262 8.500 .22977 .21209 .19491 .17814 .16174 .14567 9.000 .20970 .19311 .17697 .16122 .14581 .13070 9.500 .19185 .17622 .16101 .14616 .13163 .11738

10.000 .17587 .16110 .14672 .13268 .11893 .10545

11.000 .14845 .13516 .12221 .10955 .09715 .08499

12.000 .12580 .11373 .10195 .09044 .07916 .06808

13.000 .10678 .09573 .08494 .07439 .06404 .05388

14.000 .09059 .08041 .07046 .06072 .05117 .04179

15.000 .07665 .06722 .05799 .04896 .04009 .03138

16.000 .06453 .05574 .04715 .03872 .03046 .02233

18.000 .04450 .03679 .02923 .02182 .01453 .00737 20.000 .02866 .02179 .01505 .00844 .00194 -.00447

22.000 .01585 .00966 .00358 -.00239 -.00826 -.01404

24.000 .00528 -.00035 -.00587 -.01131 -.01666 -.02193

26.000 -.00356 -.00872 -.01379 -.01878 -.02369 -.02853

28.000 -.01106 -.01582 -.02050 -.02511 -.02965 -.03412

30.000 -.01749 -.02191 -.02626 -.03054 -.03476 -.03892

32.000 -.02306 -.02718 -.03123 -.03523 -.03917 -.04306

34.000 -.02791 -.03177 -.03558 -.03933 -.04303 -.04668

36.000 -.03218 -.03581 -.03939 -.04293 -.04641 -.04985

38.000 -.03595 -.03938 -.04277 -.04611 -.04940 -.05265

40.000 -.03931 -.04256 -.04577 -.04893 -.05206 -.05514

45.000 -.04626 -.04913 -.05197 -.05478 -.05755 -.06028

50.000 -.05165 -.05423 -.05678 -.05931 -.06179 -.06425

55.000 -.05592 -.05827 -.06059 -.06288 -.06515 -.06739

60.000 -.05936 -.06152 -.06365 -.06576 -.06784 -.06990

65.000 -.06218 -.06418 -.06615 -.06811 -.07003 -.07194

70.000 -.06450 -.06637 -.06822 -.07004 -.07184 -.07361

75.000 -.06645 -.06820 -.06993 -.07164 -.07333 -.07500

80.000 -.06808 -.06974 -.07138 -.07299 -.07458 -.07615

85.000 -.06947 -.07104 -.07259 -.07412 -.07563 -.07712

90.000 -.07065 -.07215 -.07363 -.07509 -.07652 -.07794

95.000 -.07166 -.07309 -.07451 -.07590 -.07728 -.07863

100.000 -.07252 -.07390 -.07526 -.07660 -.07792 -.07921

125.000 -.07538 -.07655 -.07771 -.07820 -.07953 -.08076

150.000 -.07675 -.07781 -.07883 -.07984 -.08081 -.08111

175.000 -.07736 -.07834 -.07928 -.08019 -.08108 -.08195

200.000 -.07754 -.07846 -.07935 -.08020 -.08103 -.08183

119
T* for the (13, 6, 8) potential function

T* v

0. 0.8 1.0 1.5 2.0

.250 149.80669 138.87288 136.37864 130.50499 125.09673

.275 100.90290 93.38927 91.67010 87.61364 83.86816

.300 72.43791 66.94009 65.67850 62.69592 59.93445

.325 54.61224 50.39237 49.42135 47.12145 44.98642

.350 42.78406 39.42235 38.64679 36.80661 35.09405

.375 34.56013 31.80204 31.16419 29.64826 28.23416

.400 28.61874 26.30164 25.76457 24.48620 23.29107

.425 24.18721 22.20261 21.74165 20.64286 19.61353

.450 20.79182 19.06462 18.66267 17.70328 16.80284

.475 18.13004 16.60665 16.25149 15.40276 14.60478

.500 16.00191 14.64301 14.32568 13.56649 12.85153

.525 14.27113 13.04724 12.76100 12.07547 11.42891

.550 12.84237 11.73090 11.47058 10.84653 10.25714

.575 11.64735 10.63069 10.39226 9.82017 9.27916

.600 10.63616 9.70036 9.48062 8.95295 8.45334

.650 9.02560 8.21999 8.03041 7.57447 7.14183

.700 7.80738 7.10162 6.93522 6.53449 6.15352

.750 6.85890 6.23187 6.08378 5.72673 5.38673

.800 6.10258 5.53904 5.40575 5.08405 4.77726

.850 5.48728 4.97594 4.85483 4.56227 4.28291

.900 4.97811 4.51038 4.39947 4.13132 3.87497

.950 4.55056 4.11977 4.01751 3.77010 3.53331

1.000 4.18698 3.78787 3.69303 3.46343 3.24348

1.100 3.60296 3.25526 3.17250 2.97191 2.77943

1.200 3.15554 2.84774 2.77437 2.59636 2.42531

1.300 2.80254 2.52656 2.46070 2.30077 2.14690

1.400 2.51735 2.26732 2.20759 2.06244 1.92265

1.500 2.28236 2.05390 1.99927 1.86643 1.73838

1.600 2.08554 1.87527 1.82495 1.70252 1.58441

1.700 1.91837 1.72365 1.67702 1.56350 1.45392

1.800 1.77468 1.59340 1.54995 1.44416 1.34196

1.900 1.64987 1.48033 1.43967 1.34062 1.24489 2.000 1.54049 1.38127 1.34307 1.24997 1.15994

2.200 1.35785 1.21599 1.18191 1.09882 1.01839

2.400 1.21150 1.08362 1.05288 .97788 .90523

2.600 1.09161 .97526 .94727 .87894 .81271 2.800 .99163 .88493 .85924 .79651 .73567

3.000 .90698 .80848 .78475 .72679 .67054 3.200 .83439 .74294 .72090 .66704 .61475

3.400 .77146 .68614 .66557 .61528 .56643

3.600 .71637 .63643 .61715 .56999 .52417 3.800 .66775 .59257 .57442 .53004 .48690 4.000 .62453 .55357 .53645 49454 .45378

4.500 .53488 .47272 .45770 42094 .38516

5.000 .46468 .40943 .39607 .36335 .33148

5.500 .40823 .35854 .34651 .31705 .28834

6.000 .36185 .31673 .30580 .27902 .25291 6.500 .32306 .28176 .27176 .24722 .22329

7.000 .29015 .25209 .24287 .22024 .19816

7.500 .26187 .22660 .21805 .19706 .17657

120
T

* -r=rr for the {13, 6, 8) potential function — Continued

dT

7

0. 0.8 1.0 1.5 2.0

8.000 .23732 .20447 .19650 .17693 .15782

8.500 .21580 .18507 .17761 .15929 .14139

9.000 .19679 .16793 .16092 .14370 .12688 9.500 .17987 .15267 .14606 .12983 .11396

10.000 .16472 .13901 .13276 .11741 .10239

11.000 .13873 .11558 .10994 .09609 .08255

12.000 .11725 .09620 .09108 .07847 .06614

13.000 .09921 .07993 .07523 .06367 .05236

14.000 .08385 .06607 .06174 .05107 .04062

15.000 .07062 .05414 .05011 .04021 .03051

16.000 .05912 .04375 .04000 .03077 .02171 17.000 .04902 .03464 .03113 .02248 .01400

18.000 .04010 .02659 .02329 .01516 .00718

19.000 .03216 .01942 .01631 .00864 .00111 20.000 .02505 .01301 .01006 .00280 -.00433

22.000 .01287 .00201 -.00065 -.00721 -.01365

24.000 .00282 -.00707 -.00949 -.01546 -.02133

26.000 -.00560 -.01466 -.01689 -.02237 -.02776

28.000 -.01274 -.02111 -.02316 -.02823 -.03322

30.000 -.01887 -.02664 -.02855 -.03326 -.03789

32.000 -.02417 -.03143 -.03321 -.03761 -.04194

34.000 -.02880 -.03560 -.03728 -.04140 -.04547

36.000 -.03287 -.03928 -.04085 -.04474 -.04857

38.000 -.03648 -.04253 -.04402 -.04769 -.05131

40.000 -.03968 -.04542 -.04683 -.05032 -.05375

45.000 -.04633 -.05141 -.05266 -.05575 -.05879

50.000 -.05149 -.05606 -.05718 -.05996 -.06270

55.000 -.05559 -.05974 -.06076 -.06329 -.06578

60.000 -.05889 -.06271 -.06365 -.06597 -.06826

65.000 -.06160 -.06514 -.06601 -.06816 -.07028

70.000 -.06384 -.06715 -.06796 -.06997 -.07194

75.000 -.06571 -.06882 -.06959 -.07147 -.07332

80.000 -.06728 -.07023 -.07095 -.07273 -.07448

85.000 -.06860 -.07142 -.07210 -.07379 -.07545

90.000 -.06973 -.07243 -.07308 -.07469 -.07627

95.000 -.07068 -.07329 -.07392 -.07546 -.07696

100.000 -.07149 -.07403 -.07463 -.07611 -.07756

125.000 -.07398 -.07635 -.07689 -.07818 -.07942

150.000 -.07583 -.07726 -.07779 -.07902 -.08015

175.000 -.07647 -.07734 -.07789 -.07915 -.08026

200.000 -.07670 -.07828 -.07866 -.07883 -.07998

121
T*

jY* for the (14, 6, 8) potential function

T*

y

0. 0.2 0.4 0.6 0.8 1.0 1.5

.250 142.42496 139.38666 136.47251 133.67431 130.98471 128.39708 122.33611

.275 95.93759 93.85162 91.84815 89.92183 88.06780 86.28173 82.08897

.300 68.87822 67.35331 65.88679 64.47491 63.11427 61.80183 58.71419

.325 51.93223 50.76284 49.63684 48.55145 47.50417 46.49275 44.10832

.350 40.68732 39.75657 38.85931 37.99339 37.15692 36.34817 34.43773

.375 32.86863 32.10565 31.36932 30.65795 29.97001 29.30416 27.72838

.400 27.21979 26.57931 25.96058 25.36223 24.78301 24.22182 22.89142

.425 23.00630 22.45814 21.92810 21.41503 20.91792 20.43582 19.29110

.450 19.77782 19.30110 18.83973 18.39276 17.95930 17.53859 16.53812

.475 17.24681 16.82661 16.41963 16.02503 15.64205 15.27005 14.38418

.500 15.22313 14.84854 14.48546 14.13317 13.79100 13.45839 12.66533

.525 13.57725 13.24006 12.91302 12.59548 12.28685 11.98664 11.26999

.550 12.21851 11.91247 11.61544 11.32685 11.04620 10.77302 10.12017

.575 11.08202 10.80222 10.53050 10.26636 10.00932 9.75898 9.16012

.600 10.12032 9.86289 9.61277 9.36948 9.13261 8.90179 8.34909

.650 8.58850 8.36708 8.15172 7.94205 7.73771 7.53839 7.06031

.700 7.42975 7.23592 7.04724 6.86338 6.68404 6.50895 6.08838

.750 6.52753 6.35543 6.18778 6.02429 5.86470 5.70878 5.33375

.800 5.80805 5.65347 5.50278 5.35574 5.21210 5.07168 4.73354

.850 5.22268 5.08249 4.94575 4.81224 4.68175 4.55410 4.24639

.900 4.73824 4.61007 4.48499 4.36279 4.24330 4.12634 3.84416

.950 4.33145 4.21345 4.09825 3.98564 3.87547 3.76759 3.50709

1.000 3.98551 3.87623 3.76948 3.66511 3.56294 3.46286 3.22101

1.100 3.42977 3.33463 3.24164 3.15063 3.06148 2.97409 2.76262

1.200 3.00398 2.91981 2.83747 2.75685 2.67783 2.60031 2.41253

1.300 2.66803 2.59259 2.51877 2.44644 2.37550 2.30588 2.13707

1.400 2.39658 2.32827 2.26138 2.19582 2.13149 2.06832 1.91504

1.500 2.17290 2.11051 2.04939 1.98945 1.93062 1.87283 1.73248

1.600 1.98555 1.92814 1.87188 1.81669 1.76251 1.70925 1.57986

1.700 1.82641 1.77326 1.72116 1.67004 1.61982 1.57046 1.45044

1.800 1.68961 1.64014 1.59164 1.54403 1.49725 1.45125 1.33936

1.900 1.57079 1.52453 1.47917 1.43462 1.39085 1.34779 1.24301 2.000 1.46664 1.42321 1.38061 1.33877 1.29764 1.25717 1.15866

2.200 1.29274 1.25406 1.21609 1.17879 1.14211 1.10600 1.01804

2.400 1.15337 1.11852 1.08429 1.05065 1.01756 .98497 .90554

2.600 1.03921 1.00750 .97635 .94573 .91560 .88592 .81353 2.800 .94398 .91491 .88635 .85826 .83060 .80336 .73689 3.000 .86336 .83652 .81015 .78421 .75867 .73350 .67206 3.200 .79421 .76931 .74482 .72073 .69701 .67362 .61651 3.400 .73426 .71103 .68818 .66570 .64356 .62172 .56839

3.600 .68179 .66002 .63861 .61754 .59678 .57631 .52629 3.800 .63547 .61500 .59486 .57504 .55551 .53624 .48915 4.000 .59428 .57497 .55596 .53725 .51881 .50062 .45615 4.500 .50886 .49194 .47529 .45889 .44272 .42677 .38773 5.000 .44197 .42693 .41213 .39754 .38315 .36896 .33420

5.500 .38817 .37464 .36133 .34820 .33525 .32247 .29116 6.000 .34395 .33167 .31958 .30766 .29589 .28427 .25580 6.500 .30697 .29574 .28467 .27375 .26297 .25232 .22623

7.000 .27559 .26524 .25504 .24497 .23503 .22521 .20114

7.500 .24863 .23903 .22957 .22024 .21103 .20192 .17959 122
T* jy*" for (14, 6, 8) potential function — Continued

y

1 *

0. 0.2 0.4 0.6 0.8 1.0 1.5

8.000 .22521 .21627 .20746 .19877 .19018 .18169 .16086

8.500 .20468 .19632 .18808 .17994 .17190 .16395 .14445

9.000 .18655 .17870 .17095 .16331 .15575 .14828 .12995 9.500 .17041 .16301 .15571 .14850 .14138 .13434 .11705

10.000 .15595 .14896 .14206 .13524 .12851 .12185 .10549

11.000 .13115 .12485 .11863 .11249 .10642 .10041 .08565

12.000 .11064 .10492 .09926 .09368 .08815 .08268 .06925

13.000 .09342 .08817 .08299 .07787 .07280 .06779 .05546

14.000 .07875 .07391 .06913 .06441 .05973 .05510 .04372 15.000 .06611 .06162 .05719 .05281 .04847 .04417 .03361

16.000 .05511 .05093 .04680 .04272 .03867 .03466 .02480

17.000 .04547 .04155 .03769 .03386 .03007 .02632 .01708

18.000 .03693 .03326 .02962 .02603 .02246 .01893 .01025 19.000 .02934 .02588 .02245 .01905 .01569 .01236 .00416 20.000 .02254 .01926 .01602 .01281 .00963 .00648 -.00128

22.000 .01088 .00793 .00500 .00210 -.00077 -.00361 -.01062

24.000 .00126 -.00143 -.00409 -.00673 -.00935 -.01194 -.01833

26.000 -.00680 -.00927 -.01172 -.01414 -.01654 -.01892 -.02478

28.000 -.01365 -.01593 -.01818 -.02042 -.02264 -.02484 -.03026

30.000 -.01952 -.02164 -.02374 -.02581 -.02788 -.02992 -.03497

32.000 -.02461 -.02659 -.02855 -.03049 -.03241 -.03432 -.03904

34.000 -.02906 -.03091 -.03275 -.03457 -.03637 -.03817 -.04259

36.000 -.03297 -.03471 -.03644 -.03816 -.03986 -.04155 -.04572

38.000 -.03643 -.03808 -.03972 -.04134 -.04295 -.04454 6.000 40.000 -.03952 -.04108 -.04263 -.04417 -.04569 -.04721 -.05094

45.000 -.04591 -.04730 -.04867 -.05003 -.05139 -.05273 -.05604

50.000 -.05089 -.05213 -.05337 -.05459 -.05581 -.05702 -.05999

55.000 -.05485 -.05598 -.05710 -.05822 -.05932 -.06042 -.06313

60.000 -.05805 -.05909 -.06012 -.06114 -.06216 -.06317 -.06565

65.000 -.06067 -.06164 -.06259 -.06354 -.06448 -.06541 -.06772

70.000 -.06285 -.06375 -.06464 -.06553 -.06640 -.06727 -.06942

75.000 -.06467 -.06552 -.06636 -.06719 -.06801 -.06883 -.07084

80.000 -.06622 -.06702 -.06781 -.06859 -.06937 -.07014 -.07204

85.000 -.06753 -.06829 -.06904 -.06978 -.07052 -.07125 -.07305

90.000 -.06865 -.06937 -.07009 -.07080 -.07150 -.07219 -.07390

95.000 -.06961 -.07031 -.07099 -.07167 -.07234 -.07300 -.07464

100.000 -.07045 -.07111 -.07177 -.07242 -.07306 -.07370 -.07526

125.000 -.07321 -.07378 -.07435 -.07490 -.07544 -.07598 -.07729

150.000 -.07453 -.07507 -.07559 -.07609 -.07658 -.07706 -.07822

175.000 -.07503 -.07558 -.07609 -.07657 -.07704 -.07749 -.07857

200.000 -.07502 -.07560 -.07613 -.07662 -.07709 -.07753 -.07857

123
T* for the (15, 6, 8) potential function

T* y

0. 0.2 0.4 0.6 0.8 1.0 1.5

.250 136.02190 132.88079 129.87707 127.00118 124.24462 121.59974 115.43254

.275 91.63718 89.47883 87.41179 85.42979 83.52726 81.69919 77.42622

.300 65.79973 64.22072 62.70632 61.25214 59.85428 58.50926 55.35785

.325 49.61769 48.40599 47.24228 46.12332 45.04625 44.00848 41.57141

.350 38.87888 37.91386 36.98586 36.09240 35.23128 34.40055 32.44541

.375 31.41149 30.61997 29.85791 29.12333 28.41450 27.72987 26.11529

.400 26.01603 25.35127 24.71053 24.09222 23.49492 22.91737 21.55273

.425 21.99123 21.42203 20.87283 20.34231 19.82930 19.33274 18.15738

.450 18.90710 18.41188 17.93360 17.47115 17.02353 16.58985 15.56167

.475 16.48907 16.05240 15.63031 15.22183 14.82610 14.44236 13.53119

.500 14.55559 14.16619 13.78947 13.42460 13.07084 12.72753 11.91119

.525 12.98295 12.63233 12.29287 11.96385 11.64460 11.33455 10.59634

.550 11.68460 11.36626 11.05786 10.75871 10.46826 10.18597 9.51306

.575 10.59854 10.30743 10.02521 9.75130 9.48517 9.22636 8.60871

.600 9.67945 9.41156 9.15169 8.89932 8.65398 8.41523 7.84488

.650 8.21538 7.98486 7.76100 7.54337 7.33156 7.12523 6.63140

.700 7.10776 6.90589 6.70967 6.51872 6.33272 6.15135 5.71655

.750 6.24525 6.06596 5.89154 5.72167 5.55606 5.39444 5.00643

.800 5.55736 5.39628 5.23946 5.08662 4.93749 4.79186 4.44179

.850 4.99765 4.85153 4.70918 4.57035 4.43481 4.30236 3.98362

.900 4.53441 4.40078 4.27053 4.14343 4.01927 3.89786 3.60540

.950 4.14538 4.02233 3.90234 3.78518 3.67067 3.55864 3.28853

1.000 3.81451 3.70054 3.58934 3.48071 3.37449 3.27052 3.01964

1.100 3.28295 3.18370 3.08677 2.99202 2.89928 2.80844 2.58892

1.200 2.87563 2.78779 2.70195 2.61798 2.53574 2.45512 2.26007

1.300 2.55421 2.47547 2.39848 2.32312 2.24927 2.17683 2.00140

1.400 2.29447 2.22316 2.15339 2.08506 2.01807 1.95232 1.79295

1.500 2.08044 2.01528 1.95152 1.88903 1.82774 1.76757 1.62160

1.600 1.90114 1.84118 1.78248 1.72493 1.66846 1.61301 1.47837

1.700 1.74883 1.69331 1.63894 1.58562 1.53328 1.48185 1.35694

1.800 1.61789 1.56621 1.51558 1.46592 1.41715 1.36922 1.25273

1.900 1.50415 1.45583 1.40846 1.36199 1.31634 1.27147 1.16235 2.000 1.40446 1.35908 1.31459 1.27093 1.22804 1.18586 1.08324

2.200 1.23798 1.19755 1.15789 1.11896 1.08069 1.04304 .95137 2.400 1.10454 1.06810 1.03234 .99722 .96269 .92870 .84590

2.600 .99522 .96206 .92952 .89755 .86609 .83513 .75964 2.800 .90403 .87363 .84378 .81444 .78557 .75714 .68780 3.000 .82682 .79875 .77119 .74409 .71741 .69114 .62703 3.200 .76060 .73454 .70894 .68377 .65899 .63457 .57498 3.400 .70317 .67886 .65498 .63148 .60835 .58555 .52987

3.600 .65291 .63013 .60774 .58572 .56403 .54265 .49042 3.800 .60854 .58711 .56605 .54533 .52492 .50479 .45562 4.000 .56908 .54886 .52899 .50942 .49015 .47114 .42469 4.500 .48724 .46953 .45210 .43495 .41804 .40136 .36058 5.000 .42314 .40739 .39190 .37663 .36159 .34674 .31041

5.500 .37158 .35741 .34347 .32973 .31618 .30281 .27007 6.000 .32920 .31634 .30367 .29118 .27887 .26671 .23694 6.500 .29376 .28198 .27038 .25894 .24766 .23652 .20922

7.000 .26367 .25282 .24212 .23158 .22117 .21089 .18570

7.500 .23782 .22775 .21784 .20806 .19841 .18887 .16549

124
T* for t^ie (15, 6, 8) potential function— Continued

y

1 *

0. 0.2 0.4 0.6 0.8 1.0 1.5

8.000 .21536 .20598 .19675 .18763 .17863 .16974 .14794

8.500 .19567 .18690 .17825 .16972 .16130 .15297 .13255

9.000 .17828 .17004 .16191 .15390 .14598 .13815 .11895

9.500 .16280 .15503 .14737 .13981 .13234 . 124% .10685

10.000 .14893 .14158 .13434 .12719 .12013 .11315 .09601

11.000 .12513 .11851 .11198 .10554 .09916 .09286 .07739

12.000 .10545 .09943 .09349 .08762 .08183 .07609 .06200

13.000 .08891 .08340 .07795 .07257 .06725 .06199 .04906

14.000 .07482 .06974 .06471 .05975 .05484 .04998 .03804

15.000 .06269 .05797 .05330 .04870 .04414 .03963 .02854

16.000 .05212 .04772 .04338 .03908 .03483 .03062 .02027

17.000 .04285 .03873 .03466 .03064 .02665 .02271 .01301 18.000 .03465 .03078 .02695 .02317 .01942 .01571 .00659

19.000 .02735 .02370 .02009 .01652 .01299 .00948 .00087 20.000 .02081 .01736 .01394 .01056 .00722 .00390 -.00425

22.000 .00960 .00648 .00340 .00035 -.00267 -.00567 -.01304

24.000 .00034 -.00250 -.00531 -.00809 -.01084 -.01357 -.02029

26.000 -.00743 -.01003 -.01261 -.01516 -.01769 -.02020 -.02637

28.000 -.01402 -.01643 -.01881 -.02117 -.02351 -.02582 -.03153

30.000 -.01969 -.02192 -.02414 -.02633 -.02850 -.03065 -.03596

32.000 -.02459 -.02668 -.02875 -.03080 -.03283 -.03484 -.03980

34.000 -.02888 -.03084 -.03278 -.03470 -.03661 -.03850 -.04316

36.000 -.03266 -.03451 -.03633 -.03814 -.03994 -.04172 -.04611

38.000 -.03601 -.03775 -.03948 -.04119 -.04289 -.04457 -.04872

40.000 -.03899 -.04064 -.04228 -.04390 -.04551 -.04711 -.05105

45.000 -.04518 -.04664 -.04809 -.04953 -. 050% -.05237 -.05586

50.000 -.05000 -.05132 -.05262 -.05392 -.05520 -.05647 -.05090

55.000 -.05384 -.05504 -.05623 -.05740 -.05857 -.05973 -.06258

60.000 -.05695 -.05805 -.05914 -.06022 -.06130 -.06236 -.06498

65.000 -.05950 -.06053 -.06154 -.06254 -.06353 -.06451 -.06694

70.000 -.06163 -.06258 -.06353 -.06446 -.06539 -.06630 -.06856

75.000 -.06341 -.06431 -.06519 -.06607 -.06694 -.06780 -.06992

80.000 -.06492 -.06577 -.06660 -.06743 -.06825 -.06906 -.07106

85.000 -.06621 -.06701 -.06781 -.06859 -.06937 -.07013 -.07202

90.000 -.06732 -.06808 -.06883 -.06958 -.07032 -.07105 -.07285

95.000 -.06827 -.06900 -.06972 -.07043 -.07114 -.07183 -.07355

100.000 -.06910 -.06979 -.07049 -.07117 -.07184 -.07251 -.07415

125.000 -.07188 -.07247 -.07305 -.07363 -.07419 -.07475 -.07612

150.000 -.07332 -.07384 -.07436 -.07486 -.07536 -.07585 -.07705

175.000 -.07403 -.07452 -.07499 -.07545 -.07590 -.07635 -.07743

200.000 -.07432 -.07479 -.07524 -.07567 -.07609 -.07651 -.07750

125

498-740 0 - 74 -9
rp* dB*

dT* for the (16, 6, 8) potential function

T* 7

0. 0.2 0.4 0.6 0.8 1.0

.250 130.40914 127.19769 124.13451 121.20889 118.41131 115.73328

.275 87.87254 85.66405 83.55409 81.53563 79.60249 77.74907

.300 63.10818 61.49127 59.94407 58.46168 57.03974 55.67439

.325 47.59648 46.35487 45.16501 44.02329 42.92655 41.87190

.350 37.30139 36.31194 35.36240 34.45002 33.57236 32.72723

.375 30.14177 29.32977 28.54951 27.79881 27.07575 26.37859

.400 24.96813 24.28583 23.62941 22.99709 22.38732 21.79869

.425 21.10839 20.52392 19.96098 19.41811 18.89401 18.38753

.450 18.15045 17.64173 17.15125 16.67777 16.22018 15.77752

.475 15.83112 15.38239 14.94934 14.53090 14.12613 13.73418

.500 13.97639 13.57610 13.18945 12.81551 12.45347 12.10260

.525 12.46766 12.10713 11.75860 11.42125 11.09437 10.77732

.550 11.22197 10.89454 10.57778 10.27095 9.97342 9.68461

.575 10.17986 9.88036 9.59042 9.30937 9.03664 8.77173

.600 9.29790 9.02222 8.75516 8.49613 8.24460 8.00013

.650 7.89280 7.65548 7.42532 7.20181 6.98452 6.77308

.700 6.82964 6.62174 6.41990 6.22370 6.03277 5.84679

.750 6.00163 5.81693 5.63746 5.46283 5.29275 5.12692

.800 5.34118 5.17519 5.01377 4.85659 4.70338 4.55388

.850 4.80372 4.65312 4.50655 4.36374 4.22443 4.08840

.900 4.35886 4.22111 4.08696 3.95617 3.82850 3.70377

.950 3.98522 3.85835 3.73474 3.61415 3.49637 3.38123

1.000 3.66742 3.54988 3.43530 3.32346 3.21418 3.10729

1.100 3.15677 3.05439 2.95448 2.85688 2.76143 2.66798

1.200 2.76542 2.67478 2.58628 2.49975 2.41507 2.33210

1.300 2.45655 2.37529 2.29589 2.21822 2.14214 2.06756

1.400 2.20694 2.13332 2.06135 1.99090 1.92187 1.85416

1.500 2.00121 1.93395 1.86815 1.80372 1.74055 1.67856

1.600 1.82886 1.76695 1.70637 1.64701 1.58880 1.53165

1.700 1.68244 1.62511 1.56898 1.51398 1.46001 1.40700

1.800 1.55655 1.50318 1.45091 1.39967 1.34937 1.29995

1.900 1.44720 1.39728 1.34838 1.30042 1.25333 1.20705 2.000 1.35133 1.30445 1.25852 1.21345 1.16920 1.12569 2.200 1.19124 1.14946 1.10850 1.06831 1.02881 .98996 2.400 1.06290 1.02524 .98831 .95204 .91639 .88131

2.600 .95775 .92348 .88986 .85683 .82435 .79238 2.800 .87004 .83861 .80776 .77744 .74763 .71827 3.000 .79576 .76674 .73824 .71024 .68269 .65555 3.200 .73204 .70510 .67864 .65262 .62702 .60180

3.400 .67679 .65165 .62695 .60267 .57876 .55520

3.600 .62843 .60486 .58171 .55895 .53653 .51443 3.800 .58573 .56357 .54178 .52036 .49926 .47846 4.000 .54776 .52684 .50628 .48605 .46612 .44648 4.500 .46899 .45066 .43263 .41489 .39740 .38016

5.000 .40730 .39099 .37495 .35916 .34359 .32824

5.500 .35766 .34299 .32855 .31433 .30031 .28648 6.000 .31686 .30353 .29041 .27749 .26474 .25216 6.500 .28273 .27052 .25851 .24666 .23498 .22345

7.000 .25375 .24250 .23142 .22050 .20972 .19908

7.500 .22885 .21842 .20815 .19801 .18802 .17814

126
18826 17150

15658

14322

12028

10131 08536

07178

,06007

,04988

.04093

.03302

.02597

.01965

.00882

.00013 .00764

.01402 .01950

.02425

.02841 .03207

.03532

.03821

.04422

.04891 .05265

.05569 .05819

.06027 .06202

.06350

.06477 .06586

.06681 .06763

.07041 .07188

.07266

.07303

T* for t^ie (16* 6, 8) potential function— Continued

y

0.2 0.4 0.6 0.8 .10

.19750 .18792 .17848 .16916 .15995 .17916 .17020 .16135 .15262 .14400 .16295 .15453 .14622 .13801 .12990 .14852 .14058 .13274 .12500 .11735 .13560 .12808 .12067 .11335 .10611

.11341 .10663 .09995 .09334 .08680 .09506 .08889 .08280 .07679 .07084 .07963 .07398 .06839 .06287 .05741 .06649 .06127 .05611 .05102 .04597 .05516 .05032 .04553 .04080 .03611

.04530 .04078 .03632 .03190 .02753 .03665 .03241 .02823 .02409 .01999 .02899 .02501 .02107 .01718 .01332 .02217 .01841 .01470 .01102 .00738 .01606 .01250 .00899 .00551 .00206

.00557 .00236 -.00081 -.00396 -.00707 -.00309 -.00602 -.00891 -.01178 -.01461 -.01036 -.01304 -.01570 -.01833 -.02094

-.01653 -.01901 -.02147 -.02391 -.02632 -.02183 -.02414 -.02643 -.02869 -.03093

-.02643 -.02859 -.03073 -.03284 -.03494 -.03046 -.03248 -.03448 -.03647 -.03844

-.03400 -.03591 -.03779 -.03967 -.04152 -.03714 -.03894 -.04073 -.04250 -.04425 -.03994 -.04165 -.04334 -.04502 -.04668

-.04575 -.04727 -.04877 -.05026 -.05173 -.05029 -.05165 -.05301 -.05434 -.05567 -.05391 -.05515 -.05638 -.05759 -.05880 -.05684 -.05798 -.05911 -.06023 -.06133 -.05926 -.06031 -.06136 -.06239 -.06341

-.06126 -.06225 -.06322 -.06419 -.06514 -.06295 -.06388 -.06479 -.06569 -.06659 -.06439 -.06526 -.06612 -.06697 -.06781 -.06561 -.06643 -.06725 -.06806 -.06886 -.06666 -.06744 -.06822 -.06899 -.06975

-.06757 -.06832 -.06906 -.06979 -.07051 -.06835 -.06907 -.06978 -.07048 -.07117 -.07102 -.07163 -.07222 -.07281 -.07338 -.07242 -.07295 -.07347 -.07399 -.07449 -.07315 -.07363 -.07410 -.07456 -.07502

-.07349 -.07393 -.07437 -.07479 -.07521

127
T* jppT for the (1 7, 6, 8) potential function

T*

y

0. 0.2 0.4 0.6 0.8 1.0

.250 125.44438 122.18570 119.08425 116.12831 113.30754 110.61270

.275 84.54641 82.30362 80.16530 78.12381 76.17238 74.30498

.300 60.73276 59.08953 57.52020 56.01944 54.58253 53.20526

.325 45.81453 44.55186 43.34406 42.18719 41.07779 40.01279

.350 35.91199 34.90516 33.94063 33.01540 32.12682 31.27254

.375 29.02446 28.19776 27.40468 26.64286 25.91020 25.20486

.400 24.04680 23.35181 22.68423 22.04212 21.42381 20.82778

.425 20.33280 19.73720 19.16440 18.61280 18.08101 17.56777

.450 17.48621 16.96761 16.46830 15.98694 15.52235 15.07349

.475 15.25393 14.79632 14.35529 13.92968 13.51849 13.12080

.500 13.46861 13.06026 12.66634 12.28583 11.91786 11.56165

.525 12.01618 11.64829 11.29308 10.94966 10.61728 10.29524

.550 10.81685 10.48265 10.15971 9.84725 9.54458 9.25109

.575 9.81342 9.50766 9.21197 8.92567 8.64812 8.37880

.600 8.96412 8.68261 8.41019 8.14623 7.89017 7.64152

.650 7.61087 7.36843 7.13354 6.90565 6.68431 6.46910

.700 6.58676 6.37431 6.16824 5.96810 5.77350 5.58409

.750 5.78904 5.60024 5.41694 5.23874 5.06530 4.89633

.800 5.15265 4.98294 4.81802 4.65757 4.50126 4.34886

.850 4.63471 4.48069 4.33091 4.18507 4.04290 3.90417

.900 4.20594 4.06504 3.92792 3.79432 3.66399 3.53673

.950 3.84579 3.71599 3.58961 3.46639 3.34613 3.22862

1.000 3.53942 3.41915 3.30198 3.18768 3.07606 2.96694

1.100 3.04707 2.94227 2.84008 2.74029 2.64275 2.54730

1.200 2.66967 2.57688 2.48632 2.39783 2.31125 2.22647

1.300 2.37177 2.28856 2.20730 2.12783 2.05004 1.97380

1.400 2.13099 2.05559 1.98192 1.90983 1.83921 1.76997

1.500 1.93252 1.86362 1.79625 1.73030 1.66566 1.60226

1.600 1.76623 1.70280 1.64076 1.58000 1.52042 1.46195

1.700 1.62494 1.56619 1.50871 1.45239 1.39714 1.34290

1.800 1.50346 1.44876 1.39522 1.34274 1.29124 1.24067

1.900 1.39792 1.34675 1.29665 1.24753 1.19932 1.15194 2.000 1.30539 1.25734 1.21027 1.16411 1.11878 1.07424

2.200 1.15086 1.10802 1.06605 1.02486 .98440 .94462 2.400 1.02696 .98834 .95048 .91331 .87678 .84085

2.600 .92544 .89029 .85582 .82196 .78868 .75592

2.800 .84075 .80850 .77687 .74579 .71523 .68514 3.000 .76902 .73924 .71002 .68131 .65306 .62524 3.200 .70749 .67984 .65270 .62601 .59976 .57390

3.400 .65413 .62833 .60299 .57808 .55356 .52940

3.600 .60741 .58323 .55948 .53612 .51312 .49046 3.800 .56617 .54342 .52107 .49908 .47744 .45610 4.000 .52949 .50802 .48691 .46615 .44571 .42555 4.500 .45340 .43457 .41606 .39785 .37990 .36221 5.000 .39379 .37704 .36057 .34435 .32837 .31261

5.500 .34582 .33075 .31592 .30132 .28692 .27271 6.000 .30639 .29269 .27922 .26594 .25285 .23992 6.500 .27340 .26086 .24851 .23634 .22434 .21249

7.000 .24540 .23383 .22244 .21122 .20014 .18921 7.500 .22133 .21060 .20003 .18962 .17934 .16919

128
T* -77=rr for the (17, 6, 8) potential function— Continued

dl

1 *

0. 0.2 0.4 0.6 0.8 1.0

8.000 .20041 .19042 .18057 .17086 .16127 .15180 8.500 .18208 .17272 .16350 .15440 .14543 .13656 9.000 .16587 .15708 .14841 .13986 .13142 .12308 9.500 .15145 .14315 .13498 .12691 .11895 .11108

10.000 .13852 .13068 .12294 .11531 .10778 .10033

11.000 .11633 .10926 .10228 .09540 .08860 .08187

12.000 .09798 .09154 .08519 .07892 .07272 .06660 13.000 .08255 .07664 .07082 .06506 .05938 .05376

14.000 .06940 .06395 .05857 .05326 .04800 .04281 15.000 .05806 .05300 .04801 .04307 .03820 .03337

16.000 .04820 .04347 .03881 .03421 .02966 .02515

17.000 .03953 .03511 .03074 .02643 .02216 .01794

18.000 .03186 .02770 .02360 .01954 .01552 .01155

19.000 .02503 .02111 .01723 .01340 .00961 .00586 20.000 .01891 .01520 .01153 .00790 .00431 .00076

22.000 .00841 .00505 .00174 -.00154 -.00478 -.00799

24.000 -.00027 -.00333 -.00635 -.00934 -.01230 -.01522

26.000 -.00756 -.01037 -.01314 -.01589 -.01860 -.02130

28.000 -.01375 -.01635 -.01891 -.02145 -.02397 -.02645

30.000 -.01907 -.02149 -.02387 -.02624 -.02857 -.03089

32.000 -.02369 -.02595 -.02818 -.03038 -.03257 -.03474

34.000 -.02773 -.02985 -.03194 -.03402 -.03607 -.03810

36.000 -.03129 -.03329 -.03526 -.03721 -.03915 -.04106

38.000 -.03445 -.03634 -.03820 -.04005 -.04188 -.04369

40.000 -.03727 -.03906 -.04083 -.04258 -.04431 -.04603

45.000 -.04313 -.04471 -.04628 -.04784 -.04937 -.05090

50.000 -.04771 -.04913 -.05054 -.05194 -.05332 -.05469

55 . goo -.05136 -.05266 -.05394 -.05521 -.05647 -.05772

60.000 -.05433 -.05552 -.05670 -.05787 -.05902 -.06017

65.000 -.05678 -.05789 -.05898 -.06006 -.06113 -.06218

70.000 -.05882 -.05985 -.06087 -.06188 -.06287 -.06386

75.000 -.06055 -.06151 -.06247 -.06341 -.06434 -.06527

80.000 -.06201 -.06292 -.06382 -.06471 -.06559 -.06646

85.000 -.06326 -.06413 -.06498 -.06582 -.06665 -.06747

90.000 -.06434 -.06516 -.06597 -.06677 -.06756 -.06835

95.000 -.06528 -.06606 -.06683 -.06760 -.06835 -.06910

100.000 -.06609 -.06684 -.06758 -.06831 -.06903 -.06975

125.000 -.06888 -.06951 -.07013 -.07074 -.07134 -.07193

150.000 -.07038 -.07094 -.07148 -.07201 -.07253 -.07305

175.000 -.07120 -.07170 -.07219 -.07267 -.07314 -.07360

200.000 -.07162 -.07208 -.07253 -.07297 -.07341 -.07383

129
T* for the (18, 6, 8) potential function

y

0. 0.2 0.4 0.6

.250 121.01804 117.72880 114.60416 111.63161

.275 81.58404 79.31841 77.16217 75.10711

.300 58.61919 56.95804 55 37425 53.86212

.325 44.23046 42.95320 41.73335 40.56673

.350 34.67795 33.65889 32.68408 31.75034

.375 28.03288 27.19570 26.39369 25.62433

.400 23.22975 22.52563 21.85015 21.20129

.425 19.64548 19.04180 18.46195 17.90423

.450 16.89795 16.37211 15.86643 15.37948

.475 14.74306 14.27891 13.83208 13.40133

.500 13.01943 12.60512 12.20586 11.82060

.525 11.61702 11.24365 10.88351 10.53567

.550 10.45885 10.11959 9.79208 9.47548

.575 9.48976 9.17929 8.87933 8.58914

.600 8.66943 8.38353 8.10710 7.83949

.650 7.36215 7.11584 6.87739 6.64622

.700 6.37264 6.15673 5.94746 5.74435

.750 5.60175 5.40982 5.22360 5.04268

.800 4.98666 4.81409 4.64650 4.48354

.850 4.48598 4.32933 4.17709 4.02893

.900 4.07145 3.92811 3.78870 3.65294

.950 3.72320 3.59114 3.46262 3.33739

1.000 3.42693 3.30454 3.18537 3.06917

1.100 2.95073 2.84406 2.74009 2.63861

1.200 2.58565 2.49118 2.39902 2.30899

1.300 2.29743 2.21269 2.12997 2.04910

1.400 2.06442 1.98763 1.91262 1.83924

1.500 1.87235 1.80216 1.73355 1.66641

1.600 1.71139 1.64677 1.58358 1.52171

1.700 1.57462 1.51476 1.45621 1.39885

1.800 1.45702 1.40128 1.34673 1.29327

1.900 1.35483 1.30269 1.25164 1.20160

2.000 1.26524 1.21627 1.16830 1.12127

2.200 1.11560 1.07193 1.02915 .98718

2.400 .99561 .95623 .91763 .87975

2.600 .89728 .86143 .82628 .79177 2.800 .81524 .78235 .75009 .71840

3.000 .74575 .71538 .68557 .65629 3.200 .68613 .65793 .63024 .60303 3.400 .63443 .60811 .58226 .55685

3.600 .58917 .56449 .54026 .51643

3.800 .54920 .52599 .50318 .48075

4.000 .51366 .49174 .47021 .44902 4.500 .43991 .42069 .40180 .38321 5.000 .38213 .36503 .34822 .33166

5.500 .33564 .32024 .30510 .29018 6.000 .29741 .28342 .26965 .25609 6.500 .26543 .25261 .23999 .22756

7.000 .23828 .22645 .21481 .20334

7.500 .21493 .20396 .19316 .18252

130
T* for the (18, 6, 8) potential function— Continued

y

0. 0.2 0.4 0.6

8.000 .19465 .18443 .17436 .16443

8.500 .17687 .16729 .15786 .14856

9.000 .16115 .15215 .14328 .13454

9.500 .14715 .13866 .13030 .12205

10.000 .13461 .12658 .11867 .11087

11.000 .11308 .10584 .09870 .09165

12.000 .09527 .08868 .08217 .07576

13.000 .08029 .07424 .06828 .06239

14.000 .06753 .06194 .05643 .05099

15.000 .05652 .05133 .04622 .04116

16.000 .04694 .04210 .03732 .03260

17.000 .03852 .03398 .02951 .02509

18.000 .03107 .02680 .02259 .01843

19.000 .02443 .02041 .01643 .01250 20.000 .01848 .01467 .01091 .00719

22.000 .00827 .00483 .00143 -.00194

24.000 -.00017 -.00331 -.00641 -.00948

26.000 -.00726 -.01015 -.01300 -.01581

28.000 -.01329 -.01596 -.01859 -.02120

30.000 -.01847 -.02096 -.02341 -.02583

32.000 -.02298 -.02529 -.02759 -.02985

34.000 -.02691 -.02909 -.03124 -.03337

36.000 -.03039 -.03244 -.03447 -.03647

38.000 -.03347 -.03541 -.03733 -.03922

40.000 -.03622 -.03806 -.03988 -.04168

45.000 -.04194 -.04357 -.04519 -.04678

50.000 -.04642 -.04789 -.04934 -.05077

55.000 -.05000 -.05134 -.05266 -.05396

60.000 -.05292 -.05414 -.05536 -.05655

65.000 -.05532 -.05646 -.05758 -.05869

70.000 -.05733 -.05839 -.05944 -.06047

75.000 -.05903 -.06002 -.06100 -.06197

80.000 -.06048 -.06141 -.06234 -.06325

85.000 -.06172 -.06260 -.06348 -.06434

90.000 -.06279 -.06363 -.06446 -.06528

95.000 -.06371 -.06452 -.06531 -.06609

100.000 -.06452 -.06529 -.06605 -.06680

125.000 -.06732 -.06797 -.06860 -.06922

150.000 -.06885 -.06942 -.06997 -.07051

175.000 -.06971 -.07021 -.07071 -.07120

200.000 -.07017 -.07063 -.07109 -.07154

131
Table 6. The second derivative of the (m, 6, 8) potential for various values of m and y

d

2B*

T*2 for (9» 6, 8) potential function

0. 1 . 2 . 3 . 4. 5 .

.275 -654.82513 -636.40034 -619.07100 -602.72765 -587.27772 -572.64194

.30 -441.53297 -428.97257 -417.14541 -405.97861 -395.41058 -385.38870

.325 -314.88741 -305.83284 -297.29715 -289.22898 -281.58502 -274.32811

.35 -234.78075 -227.95859 -221.52022 -215.42776 -209.64930 -204.15757

.375 - 181.44746 - 176.12146 - 171.08961 - 166.32299 - 161.79720 -157.49142

.40 - 144.40920 - 140.12895 - 136.08090 - 132.24223 -128.59373 - 125.11903

.425 - 117.76466 - 114.24153 - 110.90619 - 107.74020 - 104.72805 - 101.85654

.45 -98.01767 -95.05916 -92.25566 -89. 591% -87.05529 -84.63475

.475 -83.00532 -80.47867 -78.08223 -75.80322 -73.63091 -71.55616

.50 -71.33920 -69.15015 -67.07212 -65.09420 -63.20725 -61.40349

.525 -62.09871 -60.17862 -58.35442 -56.61667 -54.95747 -53.37013

.55 -54.65616 -52.95392 -51.33543 -49.79244 -48.31806 -46.90642

.575 -48.57263 -47.04945 -45.60013 -44.21741 -42.89519 -41.62830

.60 -43.53453 -42.16042 -40.85204 -39.60290 -38.40758 -37.26148

.65 -35.73903 -34.59731 -33.50881 -32.46826 -31.47125 -30.51406

.70 -30.05074 -29.08027 -28.15396 -27.26743 -26.41702 -25.59961

.75 -25.76154 -24.92139 -24.11863 -23.34955 -22.61103 -21.90043

.80 -22.43806 -21.69976 -20.99366 -20.31655 - 19.66572 - 19.03891

.85 - 19.80327 - 19.14637 - 18.51759 - 17.91411 - 17.33357 -16.77396

.90 - 17.67342 - 17.08283 - 16.51708 - 15.97368 - 15.45052 -14.94584

.95 - 15.92273 - 15.38704 - 14.87352 - 14.37992 - 13.90439 - 13.44532

1.00 - 14.46271 - 13.97311 - 13.50347 - 13.05176 - 12.61629 - 12.19564

1.10 - 12.17645 - 11.75967 - 11.35943 - 10.97404 -10.60209 - 10.24237

1.20 - 10.47768 - 10.11563 -9.76761 -9.43218 -9.10813 -8.79443

1.30 -9.17220 -8.85263 -8.54519 -8.24862 -7.96187 -7.68406

1.40 -8.14123 - 7.85551 -7.58044 -7.31490 -7.05797 -6.80886

1.50 - 7.30858 -7.05042 -6.80172 -6.56149 -6.32889 -6.10324

1.60 -6.62337 -6.38805 -6.16123 -5.94201 -5.72963 -5.52348

1.70 -6.05045 -5.83436 -5.62596 -5.42445 -5.22913 -5.03943

1.80 -5.56486 -5.36516 -5.17248 -4.98608 -4.80533 -4.62970

1.90 -5.14840 -4.96284 -4.78373 -4.61037 -4.44220 -4.27874

2.00 -4.78755 -4.61430 -4.44700 -4.28502 -4.12782 -3.97497

2.20 -4.19395 -4.04106 -3.89334 -3.75021 -3.61123 -3.47599

2.40 -3.72651 -3.58979 -3.45761 -3.32948 -3.20498 -3.08376

2.60 -3.34928 -3.22569 -3.10614 -2.99020 -2.87748 -2.76770

2.80 -3.03864 -2.92593 -2.81685 -2.71101 -2.60808 -2.50778

3.00 -2.77853 -2.67496 -2.57469 -2.47736 -2.38268 -2.29037

3.20 -2.55762 -2.46184 -2.36909 -2.27903 -2.19138 -2.10591

3.40 -2.36770 -2.27866 -2.19240 -2.10861 -2.02704 - 1.94748

3.60 -2.20273 -2.11955 -2.03894 - 1.96063 - 1.88436 - 1.80995

3.80 -2.05809 - 1.98007 - 1.90444 - 1.83094 - 1.75934 - 1.68947

4.00 - 1.93027 - 1.85682 - 1.78559 - 1.71636 - 1.64890 - 1.58305

4.50 - 1.66751 - 1.60347 - 1.54135 - 1.48092 - 1.42202 - 1.36448

5.00 - 1.46398 - 1.40727 - 1.35222 - 1.29865 - 1.24641 - 1.19536

5.50 - 1.30170 - 1.25085 - 1.20146 - 1.15338 - 1.10647 -1.06062

6.00 - 1.16928 - 1.12322 - 1.07847 - 1.03489 -.99234 -.95074

6.50 - 1.05918 - 1.01711 -.97622 -.93638 -.89748 -.85942

7.00 -.96620 -.92750 -.88988 -.85320 -.81738 -.78233

7.50 -.88662 -.85082 -.81599 -.78203 -.74885 -.71638

8.00 -.81775 -.78445 -.75205 -.72044 -.68955 -.65930 132
T*2 for t^le (9» 6, 8) potential function — Continued

y

0. 1. 2. 3. 4. 5.

8.50 -.75756 -.72645 -.69616 -.66661 -.63772 -.60943

9.00 -.70451 -.67533 -.64691 -.61917 -.59205 -.56548

9.50 -.65739 -.62993 -.60317 -.57704 -.55149 -.52645

10.00 -.61527 -.58934 -.56406 -.53938 -.51523 -.49156

11.00 -.54315 -.51984 -.49710 -.47489 -.45314 -.43182

12.00 -.48364 -.46250 -.44186 -.42168 -.40192 -.38254

13.00 -.43371 -.41439 -.39551 -.37704 -.35894 -.34119

14.00 -.39121 -.37345 -.35607 -.33906 -.32237 -.30600

15.00 -.35460 -.33818 -.32210 -.30634 -.29088 -.27570

16.00 -.32273 -.30749 -.29254 -.27788 -.26348 -.24933

17.00 -.29473 -.28054 -.26659 -.25288 -.23942 -.22619

18.00 -.26993 -.25667 -.24361 -.23077 -.21813 -.20571

19.00 -.24780 -.23538 -.22313 -.21105 -.19916 -.18746

20.00 -.22793 -.21628 -.20475 -.19337 -.18215 -.17109

22.00 -.19371 -.18338 -.17312 -.16295 -.15289 -.14296

24.00 -.16527 -.15605 -.14686 -.13771 -.12864 -.11965

26.00 -.14309 -.13298 -.12469 -.11642 -.10818 -.10000

28.00 -.12303 -.11324 -.10571 -.09820 -.09069 -.08322

30.00 -.10575 -.09824 -.08930 -.08242 -.07555 -.06869

32.00 -.09072 -.08375 -.07686 -.06864 -.06232 -.05600

34.00 -.07754 -.07103 -.06460 -.05649 -.05065 -.04480

36.00 -.06589 -.05980 -.05377 -.04782 -.04029 -.03486

38.00 -.05552 -.04980 -.04413 -.03853 -.03299 -.02596

40.00 -.04625 -.04085 -.03551 -.03021 -.02498 -.01797

45.00 -.02686 -.02215 -.01747 -.01283 -.00824 -.00369

50.00 -.01157 -.00740 -.00325 .00087 .00496 .00901 55.00 .00076 .00449 .00821 .01192 .01560 .01926 60.00 .01087 .01425 .01763 .02099 .02434 .02766 65.00 .01930 .02238 .02547 .02855 .03162 .03467

70.00 .02642 .02925 .03209 .03493 .03776 .04057

75.00 .03249 .03510 .03773 .04037 .04299 .04561 80.00 .03771 .04014 .04259 .04505 .04750 .04994

85.00 .04224 .04451 .04680 .04911 .05141 .05370 90.00 .04620 .04833 .05049 .05265 .05482 .05698 95.00 .04968 .05169 .05372 .05577 .05781 .05986

100.00 .05276 .05466 .05658 .05852 .06046 .06240

125.00 .06386 .06536 .06689 .06843 .06999 .07154

150.00 .07054 .07179 .07308 .07438 .07569 .07699

175.00 .07480 .07589 .07701 .07815 .07929 .08043 200.00 .07761 .07859 .07959 .08061 .08164 .08266

133
T* 2 for 6, 8) potential function

T* y

0 . 1 . 2 . 3 . 4.

.25 -964.22660 -917.75518 -875.96702 -838.12741 -803.66955

.275 -604.62360 -575.12415 -548.54384 -524.42891 -502.42967

.30 -407.49841 -387.37389 -369.20350 -352.68595 -337.58923

.325 -290.48595 -275.96847 -262.83374 -250.87002 -239.91446

.35 -216.49338 -205.54795 - 195.62499 -186.56884 - 178.25990

.375 - 167.24438 - 158.69393 - 150.92695 - 143.82466 - 137.29602

.40 - 133.05178 - 126.17611 - 119.91852 - 114.18568 - 108.90608

.425 - 108.46090 - 102.79821 -97.63511 -92.89638 -88.52445

.45 -90.24063 -85.48291 -81.13731 -77.14192 -73.44942

.475 -76.39245 -72.32719 -68.60785 -65.18253 -62.01164

.50 -65.63366 -62.10992 -58.88088 -55.90238 -53.14074

.525 -57.11390 -54.02172 -51.18388 -48.56226 -46. 12786

.55 -50.25343 -47.51095 -44.99043 -42.65860 -40.49020

.575 -44.64699 -42.19201 -39.93266 -37.83960 -35.89058

.60 -40.00500 -37.78948 -35.74787 -33.85409 -32.08834

.65 -32.82464 -30.98257 -29.28107 -27.69900 -26.22037

.70 -27.58734 -26.02062 -24.57037 -23.21902 -21.95331

.75 -23.63971 -22.28266 -21.02406 - 19.84903 -18.74634

.80 -20.58200 - 19.38889 - 18.28042 - 17.24375 - 16.26919

.85 - 18.15872 - 17.09671 - 16.10848 - 15.18281 - 14.31122

.90 - 16.20048 - 15.24529 - 14.35521 - 13.52026 - 12.73296

.95 - 14.59133 - 13.72462 - 12.91593 - 12.15634 - 11.43916

1.00 - 13.24973 - 12.45734 - 11.71710 - 11.02098 - 10.36294

1.10 - 11.14970 - 10.47480 -9.84299 -9.24759 -8.68357

1.20 -9.59006 -9.00350 -8.45341 -7.93409 -7.44125

1.30 -8.39200 -7.87406 -7.38757 -6.92757 -6.49037

1.40 - 7.44623 -6.98299 -6.54729 -6.13477 -5.74216

1'50 -6.68266 -6.26396 -5.86970 -5.49597 -5.13986

1.60 -6.05448 -5.67273 -5.31288 -4.97141 -4.64570

1.70 -5.52940 -5.17875 -4.84791 -4.53367 -4.23366

1.80 -5.08446 -4.76034 -4.45427 -4.16332 -3.88530

1.90 -4.70296 -4.40172 -4.11703 -3.84621 -3.58723

2.00 -4.37247 -4.09115 -3.82511 -3.57185 -3.32950

2.20 -3.82895 -3.58063 -3.34551 -3.12141 -2.90671

2.40 -3.40110 -3.17897 -2.96843 -2.76755 -2.57491

2.60 -3.05590 -2.85505 -2.66451 -2.48255 -2.30790

2.80 -2.77171 -2.58849 -2.41453 -2.24828 -2.08858

3.00 -2.53379 -2.36540 -2.20541 -2.05241 - 1.90533

3.20 -2.33175 -2.17602 -2.02795 - 1.88627 - 1.74999

3.40 -2.15810 -2.01328 - 1.87552 - 1.74361 - 1.61668

3.60 -2.00726 - 1.87196 - 1.74318 - 1.61981 - 1.50104

3.80 - 1.87504 - 1.74810 - 1.62722 - 1.51138 - 1.39979

4.00 - 1.75820 - 1.63867 - 1.52480 - 1.41562 - 1.31041

4.50 - 1.51803 - 1.41380 - 1.31440 - 1.21900 - 1.12698

5.00 - 1.33203 - 1.23970 - 1.15156 - 1.06690 -.98519

5.50 - 1.18374 - 1.10092 - 1.02180 -.94575 -.87230

6.00 - 1.06275 -.98771 -.91597 -.84697 -.78029

6.50 -.96215 -.89359 -.82801 -.76489 -.70385

7.00 -.87718 -.81411 -.75373 -.69559 -.63934

7.50 -.80447 -.74610 -.69018 -.63631 -.58417

134
43619

,39055

.35171 .31827

.28916

.26361 .24100

.22086

.20279

,17173

.14598 12428

,10573

.08969

.07566

.06329 .05230

.04249

.03577

.01797

.00392

.00741 .01672 .02448

.03103

.03663 .04144

.04562

.04928

.05249

.05533

.06560

.07179

.07575

.07837

2 d

2B*

dT*2 for the (10, 6, 8) potential function — Continued

v

1 . 2 .

-.68723 -.63518

-.63579 -.58712 -.59044 -.54475

-.55017 -.50713 -.51416 -.47349

-.45250 -.41589 -.40162 -.36836

-.35893 -.32848

-.32260 -.29454

-.29131 -.26530

-.26408 -.23986

-.24018 -.21752 -.21903 -.19776 -.20018 -.18015 -.18328 -.16436

-.15424 -.13722 -.13019 -.11475 -.10994 -.09585

-.09265 -.07973 -.07772 -.06581

-.06469 -.05368

-.05320 -.04301 -.04300 -.03354

-.03387 -.02508 -.02566 -.01747

-.00834 -.00140

.00301 .01145

.01363 .01978 .02236 .02795 .02963 .03475

.03577 .04049

.04101 .04539 .04553 .04961 .04944 .05327 .05287 .05647

.05588 .05928 .05854 .06177 .06815 .07072 .07393 .07610

.07761 .07951

.08004 .08174

3. 4.

-.58501 -.53643

-.54018 -.49472 -.50068 -.45796

-.46559 -.42532

-.43423 -.39615

-.38052 -.34619

-.33620 -.30497

-.29901 -.27038

-.26736 -.24094

-.24010 -.21559

-.21638 -.19352

-.19555 -.17415

-.17711 -.15700

-.16069 -.14172

-.14596 -.12802

-.12065 -.10448 -.09970 -.08499

-.08207 -.06859 -.06704 -.05462 -.05408 -.04256

-.04279 -.03207

-.03287 -.02286 -.02408 -.01470

-.01623 -.00742 -.00918 -.00090

.00567 .01282 .01756 .02378

.02729 .03274

.03540 .04022

.03981 .04656

.04517 .04979

.04973 .05403

.05367 .05768

.05708 .06084

.06005 .06360

.06267 .06603 .06498 .06817 .07329 .07585

.07826 .08041 .08139 .08327

.08343 .08510

135
d

2B*

T* 2 for the (11, 6, 8) potential function

T*

7

0 . 1 . 1.5 2.0 2.5 3.0

.25 -899.25226 -841.90373 -816.12190 -791.99880 -769.37158 -748.10089

.275 -563.73341 -527.30017 -510.88673 -495.50921 -481.06725 -467.47503

.30 -379.84263 -354.96834 -343.73832 -333.20286 -323.29548 -313.95934

.325 -270.70450 -252.74697 -244.62228 -236.98967 -229.80253 -223.02104

.35 -201.70260 -188.15363 -182.01057 -176.23171 -170.78287 -165.63486

.375 -155.78267 -145.19099 -140.37882 -135.84589 -131.56618 -127.51753

.40 -123.90633 -115.38359 -111.50365 -107.84409 -104.38452 -101.10757

.425 -100.98469 -93.96112 -90.75751 -87.73204 -84.86835 -82.15247

.45 -84.00371 -78.09909 -75.40089 -72.84964 -70.43190 -68.13623

.475 -71.09926 -66.05122 -63.74036 -61.55285 -59.47741 -57.50451

.50 -61.07503 -56.69712 -54.68968 -52.78728 -50.98037 -49.26084

.525 -53.13801 -49.29440 -47.52914 -45.85450 -44.26224 -42.74541

.55 -46.74761 -43.33709 -41.76837 -40.27869 -38.86090 -37.50891

.575 -41.52595 -38.47164 -37.06476 -35.72749 -34.45355 -33.23759

.60 -37.20307 -34.44555 -33.17364 -31.96359 -30.80980 -29.70754

.65 -30.51744 -28.22302 -27.16207 -26.15104 -25.18541 -24.26139

.70 -25.64205 -23.68930 -22.78431 -21.92061 -21.09447 -20.30273

.75 -21.96796 -20.27553 -19.48959 -18.73850 -18.01911 -17.32875

.80 -19.12267 -17.63391 -16.94129 -16.27858 -15.64306 -15.03244

.85 -16.86813 -15.54233 -14.92449 -14.33268 -13.76454 -13.21805

.90 -15.04655 -13.85360 -13.29683 -12.76299 -12.24998 -11.75603

.95 -13.54994 -12.46707 -11.96098 -11.47530 -11.00813 -10.55792

1.00 -12.30235 -11.31197 -10.84853 -10.40340 -9.97489 -9.56159

1.10 -10.34986 -9.50580 -9.10995 -8.72919 -8.36211 -8.00752

1.20 -8.90014 -8.16618 -7.82132 -7.48919 -7.16858 -6.85851

1.30 -7.78676 -7.13836 -6.83321 -6.53900 -6.25470 -5.97945

1.40 -6.90801 -6.32786 -6.05445 -5.79058 -5.53537 -5.28804

1.50 -6.19867 -5.67413 -5.42662 -5.18756 -4.95614 -4.73170

1.60 -5.61519 -5.13679 -4.91080 -4.69237 -4.48077 -4.27539

1.70 -5.12754 -4.68800 -4.48016 -4.27914 -4.08428 -3.89503

1.80 -4.71438 -4.30798 -4.11565 -3.92952 -3.74899 -3.57356

1.90 -4.36016 -3.98237 -3.80342 -3.63016 -3.46203 -3.29856

2.00 -4.05333 -3.70045 -3.53319 -3.37117 -3.21386 -3.06083

2.20 -3.54880 -3.23720 -3.08932 -2.94594 -2.80662 -2.67099

2.40 -3.15169 -2.87287 -2.74040 -2.61188 -2.48691 -2.36516

2.60 -2.83134 -2.57917 -2.45924 -2.34282 -2.22955 -2.11913

2.80 -2.56764 -2.33754 -2.22802 -2.12165 -2.01809 -1.91709

3.00 -2.34689 -2.13537 -2.03462 -1.93672 -1.84137 -1.74832

3.20 -2.15945 -1.96378 -1.87052 -1.77986 -1.69152 -1.60529

3.40 -1.99834 -1.81636 -1.72957 -1.64516 -1.56289 -1.48255

3.60 -1.85842 -1.68836 -1.60721 -1.52827 -1.45130 -1.37611

3.80 -1.73576 -1.57619 -1.50002 -1.42588 -1.35357 -1.28292

4.00 -1.62738 -1.47710 -1.40533 -1.33546 -1.26729 -1.20067

4.50 -1.40461 -1.27352 -1.21084 -1.14978 -1.09018 -1.03189

5.00 -1.23209 -1.11592 -1.06033 -1.00614 -.95322 -.90144

5.50 -1.09454 -.99031 -.94039 -.89172 -.84415 -.79759

6.00 -.98231 -.88785 -.84258 -.79841 -.75524 -.71295

6.50 -.88900 -.80267 -.76127 -.72087 -.68136 -.64265

7.00 -.81018 -.73074 -.69262 -.65540 -.61899 -.58331

7.50 -.74273 -.66919 -.63388 -.59939 -.56564 -.53256

136
d2B* T*2 for t^ie 6’ potential function— Continued

y

0. 1. 1.5 2.0 2.5 3.0

8.00 -.68435 -.61591 -.58304 -.55092 -.51947 -.48865

8.50 -.63332 -.56935 -.53860 -.50855 -.47913 -.45028

9.00 -.58834 -.52831 -.49944 -.47122 -.44358 -.41646

9.50 -.54839 -.49185 -.46465 -.43805 -.41200 -.38643

10.00 -.51267 -.45926 -.43355 -.40841 -.38377 -.35959

11.00 -.45149 -.40343 -.38028 -.35763 -.33542 -.31362

12.00 -.40100 -.35736 -.33632 -.31572 -.29552 -.27568

13.00 -.35864 -.31870 -.29943 -.28055 -.26204 -.24384

14.00 -.32258 -.28579 -.26802 -.25061 -.23353 -.21674

15.00 -.29152 -.25744 -.24097 -.22482 -.20897 -.19339

16.00 -.26449 -.23276 -.21742 -.20238 -.18760 -.17307

17.00 -.24076 -.21110 -.19674 -.18266 -.16883 -.15522

18.00 -.21976 -.19192 -.17844 -.16521 -.15221 -.13942

19.00 -.20105 -.17484 -.16213 -.14966 -.13740 -.12534

20.00 -.18427 -.15951 -.14751 -.13572 -.12413 -.11271

22.00 -.15544 -.13318 -.12237 -.11175 -.10130 -.09101

24.00 -.13157 -.11138 -.10156 -.09190 -.08239 -.07303

26.00 -.11150 -.09303 -.08404 -.07520 -.06649 -.05790

28.00 -.09438 -.07740 -.06911 -.06096 -.05292 -.04500

30.00 -.07961 -.06392 -.05624 -.04868 -.04123 -.03388

32.00 -.06675 -.05218 -.04504 -.03800 -.03105 -.02419

34.00 -.05543 -.04187 -.03520 -.02861 -.02211 -.01569

36.00 -.04541 -.03274 -.02649 -.02031 -.01420 -.00817

38.00 -.03646 -.02461 -.01873 -.01292 -.00716 -.00148

40.00 -.02843 -.01732 -.01178 -.00629 -.00086 .00452

45.00 -.01148 -.00200 .00280 .00760 .01236 .01708

50.00 .00208 .01020 .01439 .01861 .02282 .02701 55.00 .01318 .02017 .02383 .02756 .03131 .03506

60.00 .02240 .02848 .03169 .03499 .03834 .04171 65.00 .02745 .03552 .03835 .04128 .04427 .04731

70.00 .03358 .04156 .04407 .04667 .04936 .05210

75.00 .03882 .04447 .04903 .05136 .05377 .05624

80.00 .04333 .04860 .05336 .05547 .05764 .05988

85.00 .04725 .05219 .05465 .05909 .06106 .06309

90.00 .05068 .05532 .05764 .05994 .06410 .06596

95.00 .05370 .05808 .06027 .06244 .06681 .06853

100.00 .05637 .06053 .06260 .06466 .06671 .07083

125.00 .06603 .06935 .07100 .07265 .07429 .07592 150.00 .07189 .07467 .07607 .07746 .07884 .08020

175.00 .07564 .07808 .07929 .08050 .08170 .08289

200.00 .07814 .08032 .08141 .08249 .08357 .08463

137
d 2B* T* 2 for the (12, 6, 8) potential function

T*

y

0 . 0.5 1.0 1.5 2.0 2.5

.25 -845.09059 -811.54771 -780.78358 -752.44443 -726.24255 -701.93970

.275 -529.71305 -508.40332 -488.82498 -470.76020 -454.03188 -438.49328

.30 -356.87682 -342.32832 -328.93826 -316.56235 -305.08339 -294.40439

.325 -254.30836 -243.80592 -234.12266 -225.15743 -216.82819 -209.06701

.35 -189.46537 -181.54190 -174.22368 -167.43658 -161.12045 -155.22561

.375 -146.31654 -140.12308 -134.39297 -129.06981 -124.10792 -119.46955

.40 -116.36604 -111.38291 -106.76499 -102.46804 -98.45628 -94.70019

.425 -94.83078 -90.72466 -86.91344 -83.36154 -80.04022 -76.92580

.45 -78.87795 -75.42641 -72.21788 -69.22315 -66.41864 -63.78495

.475 -66.75562 -63.80514 -61.05843 -58.49104 -56.08329 -53.81896

.50 -57.33952 -54.78105 -52.39598 -50.16355 -48.06706 -46.09278

.525 -49.88446 -47.63851 -45.54203 -43.57717 -41.72955 -39.98736

.55 -43.88244 -41.88981 -40.02748 -38.27989 -36.63454 -35.08117

.575 -38.97840 -37.19410 -35.52452 -33.95596 -32.47743 -31.07990

.60 -34.91869 -33.30796 -31.79910 -30.37996 -29.04077 -27.77354

.65 -28.64050 -27.30059 -26.04283 -24.85742 -23.73648 -22.67358

.70 -24.06266 -22.92253 -21.85032 -20.83790 -19.87877 -18.96761

.75 -20.61311 -19.62515 -18.69452 -17.81430 -16.97902 -16.18419

.80 -17.94190 -17.07300 -16.25328 -15.47681 -14.73885 -14.03557

.85 -15.82546 -15.05180 -14.32093 -13.62768 -12.96791 -12.33828

.90 -14.11557 -13.41955 -12.76121 -12.13597 -11.54019 -10.97092

.95 -12.71081 -12.07911 -11.48093 -10.91218 -10.36962 -9.85061

1.00 -11.53985 -10.96219 -10.41462 -9.89345 -9.39576 -8.91918

1.10 -9.70743 -9.21524 -8.74783 -8.30215 -7.87577 -7.46673

1.20 -8.34700 -7.91910 -7.51212 -7.12345 -6.75104 -6.39321

1.30 -7.30228 -6.92433 -6.56438 -6.22017 -5.88991 -5.57216

1.40 -6.47777 -6.13966 -5.81727 -5.50863 -5.21215 -4.92657

1.50 -5.81225 -5.50659 -5.21486 -4.93527 -4.66643 -4.40721

1.60 -5.26485 -4.98612 -4.71984 -4.46441 -4.21859 -3.98134

1.70 -4.80738 -4.55131 -4.30649 -4.07146 -3.84508 -3.62642

1.80 -4.41980 -4.18307 -3.95657 -3.73897 -3.52923 -3.32650

1.90 -4.08753 -3.86748 -3.65680 -3.45427 -3.25893 -3.06999

2.00 -3.79972 -3.59420 -3.39731 -3.20793 -3.02516 -2.84828

2.20 -3.32647 -3.14502 -2.97101 -2.80346 -2.64159 -2.48478

2.40 -2.95401 -2.79167 -2.63585 -2.48567 -2.34047 -2.19967

2.60 -2.65355 -2.50674 -2.36571 -2.22969 -2.09808 -1.97037

2.80 -2.40623 -2.27228 -2.14352 -2.01925 -1.89893 -1.78210

3.00 -2.19920 -2.07607 -1.95764 -1.84328 -1.73249 -1.62485

3.20 -2.02340 -1.90951 -1.79991 -1.69402 -1.59137 -1.49159

3.40 -1.87231 -1.76639 -1.66441 -1.56583 -1.47023 -1.37726

3.60 -1.74108 -1.64211 -1.54677 -1.45458 -1.36513 -1.27811

3.80 -1.62605 -1.53319 -1.44370 -1.35712 -1.27309 -1.19132

4.00 -1.52440 -1.43695 -1.35264 -1.27105 -1.19184 -1.11472

4.50 -1.31548 -1.23919 -1.16559 -1.09430 -1.02503 -.95755

5.00 -1.15367 -1.08607 -1.02080 -.95754 -.89604 -.83607

5.50 -1.02466 -.96401 -.90541 -.84859 -.79330 -.73938

6.00 -.91939 -.86443 -.81129 -.75973 -.70955 -.66058

6.50 -.83186 -.78163 -.73305 -.68588 -.63995 -.59512

7.00 -.75793 -.71170 -.66697 -.62352 -.58120 -.53987

7.50 -.69465 -.65186 -.61042 -.57017 -.53094 -.49261

138
T*2 for t^ie > 6, 8) potential function — Continued

T*

V

0. 0.5 1.0 1.5 2.0 2.5

8.00 -.63988 -.60005 -.56148 -.52399 -.48744 -.45172

8.50 -.59200 -.55477 -.51870 -.48363 -.44942 -.41598

9.00 -.54979 -.51485 -.48099 -.44805 -.41591 -.38449

9.50 -.51230 -.47940 -.44749 -.41645 -.38616 -.35653

10.00 -.47878 -.44769 -.41754 -.38819 -.35955 -.33152

11.00 -.42136 -.39339 -.36624 -.33979 -.31397 -.28869

12.00 -.37397 -.34856 -.32389 -.29985 -.27635 -.25335

13.00 -.33419 -.31094 -.28834 -.26631 -.24478 -.22368

14.00 -.30033 -.27891 -.25808 -.23776 -.21789 -.19842

15.00 -.27116 -.25132 -.23201 -.21317 -.19473 -.17665

16.00 -.24578 -.22730 -.20931 -.19175 -.17456 -.15771

18.00 -.20375 -.18754 -.17174 -.15629 -.14117 -.12633

20.00 -.17040 -.15598 -.14190 -.12814 -.11465 -.10141

22.00 -.14330 -.13033 -.11766 -.10526 -.09310 -.08115

24.00 -.12086 -.10909 -.09758 -.08630 -.07524 -.06436

26.00 -.10198 -.09121 -.08067 -.07035 -.06020 -.05023

28.00 -.08589 -.07597 -.06626 -.05674 -.04738 -.03818

30.00 -.07201 -.06283 -.05383 -.04500 -.03633 -.02778

32.00 -.05993 -.05139 -.04301 -.03479 -.02670 -.01873

34.00 -.04932 -.04134 -.03351 -.02581 -.01824 -.01078

36.00 -.03994 -.03245 -.02510 -.01787 -.01076 -.00374

38.00 -.03158 -.02454 -.01761 -.01080 -.00409 .00252 40.000 -.02411 -.01745 -.01091 -.00447 .00188 .00813 45.000 -.00845 -.00261 .00313 .00879 .01438 .01989 50.000 .00393 .00911 .01423 .01928 .02426 .02917

55.000 .01392 .01859 .02320 .02774 .03224 .03668 60.000 .02215 .02638 .03057 .03471 .03880 .04284 65*000 .02901 .03289 .03673 .04053 .04428 .04799 70.000 .03482 .03839 .04193 .04544 .04891 .05234 75.000 .03978 .04309 .04638 .04964 .05286 .05605

80.000 .04406 .04715 .05022 .05326 .05627 .05925 85.000 .04778 .05067 .05355 .05640 .05923 .06203 90.000 .05103 .05376 .05647 .05916 .06182 .06446 95.000 .05390 .05648 .05904 .06158 .06410 .066591 00.000 .05644 .05888 .06131 .06372 .06611 .06848

125.00 .06565 .06760 .06954 .07367 .07502 .07647

150.00 .07126 .07290 .07453 .07615 .07776 .08158

175.00 .07488 .07631 .07773 .07914 .08054 .08193 200.00 .07730 .07858 .07985 .08112 .08236 .08360

139
d

2B*

T* 2 for t^ie (13, 6, 8) potential function

v

0 . 0.8 1.0 1.5 2.0

.25 -799.17370 -743.08215 -730.36174 -700.52347 -673.19970

.275 -500.91676 -465.23547 -457.12727 -438.08346 -420.61401

.30 -337.46790 -313.07625 -307.52204 -294.45926 -282.45423

.325 -240.47274 -222.84243 -218.81946 -209.34507 -200.62131

.35 - 179.15456 - 165.83728 - 162.79221 - 155.61105 - 148.98617

.375 - 138.35205 - 127.93028 - 125.54247 - 119.90373 - 114.69191

.40 - 110.03068 - 101.63618 -99.70909 -95.15233 -90.93273

.425 -89.66713 -82.74268 -81.15006 -77.37940 -73.88142

.45 - 74.58248 -68.75603 -67.41353 -64.23115 -61.27376

.475 -63.12000 -58.13465 -56.98397 -54.25310 -51.71105

.50 -54.21654 -49.88967 -48.88932 -46.51261 -44.29667

.525 -47.16740 -43.36586 -42.48560 -40.39195 -38.43696

.55 -41.49224 -38.11678 -37.33402 -35.47039 -33.72767

.575 -36.85530 -33.83048 -33.12805 -31.45407 -29.88652

.60 -33.01672 -30.28420 -29.64881 -28.13320 -26.71210

.65 -27.08054 -24.80450 -24.27395 -23.00630 -21.81482

.70 -22.75211 -20.81318 -20.36022 - 19.27630 -18.25529

.75 - 19.49050 - 17.80865 - 17.41496 - 16.47160 -15.58125

.80 - 16.96484 - 15.48429 - 15.13710 - 14.30415 -13.51660

.85 - 14.96372 - 13.64435 - 13.33446 - 12.59014 - 11.88527

.90 - 13.34700 - 12.15913 - 11.87971 - 11.20791 - 10.57079

.95 - 12.01878 - 10.93994 - 10.68583 - 10.07431 -9.49358

1.00 - 10.91162 -9.92445 -9.69165 -9.13093 -8.59780

1.10 -9.17903 -8.33699 -8.13798 -7.65795 -7.20056

1.20 - 7.89270 -7.15997 -6.98648 -6.56746 -6.16748

1.30 -6.90487 -6.25716 -6.10356 -5.73218 -5.37711

1.40 -6.12525 -5.54541 -5.40772 -5.07448 -4.75544

1.50 - 5.49596 -4.97146 -4.84676 -4.54471 -4.25519

1.60 -4.97836 -4.49980 -4.38589 -4.10980 -3.84488

1.70 -4.54578 -4. 10593 -4.00113 -3.74696 -3.50285

1.80 -4.17929 -3.77247 -3.67547 -3.44005 -3.21376

1.90 -3.86509 -3.48679 -3.39651 -3.17731 -2.96645

2.00 -3.59293 -3.23948 -3.15508 -2.95004 -2.75266

2.20 -3.14541 -2.83316 -2.75850 -2.57698 -2.40204

2.40 -2.79319 -2.51367 -2.44677 -2.28399 -2.12695

2.60 -2.50905 -2.25614 -2.19556 -2.04806 - 1.90563

2.80 -2.27516 -2.04431 - 1.98897 - 1.85416 - 1.72388

3.00 -2.07935 - 1.86708 - 1.81616 - 1.69205 - 1.57205

3.20 - 1.91310 - 1.71668 - 1.66953 - 1.55457 - 1.44335

3.40 - 1.77020 - 1.58747 - 1.54358 - 1.43654 - 1.33291

3.60 - 1.64608 - 1.47529 - 1.43424 - 1.33410 - 1.23712

3.80 - 1.53728 - 1.37698 - 1.33844 - 1.24439 - 1.15325

4.00 - 1.44113 - 1.29014 - 1.25383 - 1.16516 - 1.07922

4.50 - 1.24351 - 1.11172 - 1.08000 - 1.00249 -.92730

5.00 - 1.09045 -.97361 -.94546 -.87665 -.80985

5.50 -.96840 -.86352 -.83824 -.77640 -.71633

6.00 -.86881 -.77372 -.75078 -.69466 -.64011

6.50 -.78599 -.69906 -.67807 -.62672 -.57678

7.00 -.71603 -.63600 -.61667 -.56936 -.52332

7.50 -.65615 -.58204 -.56413 -.52027 -.47758

140
d2g* T*2 —— for the ( 13, 6, 8) potential function — Continued

dT 2

T* y

0. 0.8 1.0 1.5 2.0

8.00 -.60432 -.53532 -.51864 -.47779 -.43800

8.50 -.55901 -.49449 -.47889 -.44065 -.40342

9.00 -.51906 -.45849 -.44384 -.40792 -.37293

9.50 -.48357 -.42651 -.41270 -.37885 -.34585

10.00 -.45184 -.39792 -.38486 -.35285 -.32164

11.00 -.39748 —.34893 -.33716 -.30831 -.28016

12.00 -.35261 -.30849 -.29779 -.27154 -.24593

13.00 -.31494 -.27454 -.26474 -.24068 -.21718

14.00 -.28287 -.24563 -.23659 -.21439 -.19271

15.00 -.25524 -.22072 -.21234 -.19174 -.17162

16.00 -.23119 -.19904 -.19122 -.17202 -.15325

17.00 -.21007 -.17999 -.17267 -.15470 -.13711

18.00 -.19137 -.16312 -.15625 -.13936 -.12283

19.00 -.17471 -.14809 -.14161 -.12568 -.11009

20.00 -.15976 -.13460 -.12848 -.11341 -.09866

22.00 -.13407 -.11142 -.10590 -.09232 -.07901

24.00 -.11278 -.09221 -.08719 -.07483 -.06272

26.00 -.09487 -.07604 -.07144 -.06011 -.04901

28.00 -.07960 -.06225 -.05801 -.04756 -.03731

30.00 -.06643 -.05035 -.04642 -.03673 -.02721

32.00 -.05496 -.03999 -.03632 -.02729 -.01842

34.00 -.04489 -.03088 -.02745 -.01900 -.01069

36.00 -.03597 -.02283 -.01961 -.01166 -.00385

38.00 -.02804 -.01565 -.01262 -.00512 .00224

40.00 -.02092 -.00922 -.00635 .00073 .00770

45.00 -.00603 .00425 .00677 .01300 .01914

50.00 .00575 .01490 .01715 .02271 .02819 55.00 .01528 .02351 .02554 .03055 .03550 60.00 .02313 .03060 .03245 .03701 .04152 65.00 .02970 .03653 .03822 .04241 .04655

70.00 .03527 .04155 .04311 .04697 .05080

75.00 .04006 .04585 .04729 .05088 .05443 80.00 .04422 .04956 .05090 .05425 .05756 85.00 .04787 .05281 .05406 .05718 .06029 90.00 .05111 .05566 .05683 .05976 .06268

95.00 .05399 .05819 .05928 .06203 .06479

100.00 .05659 .06046 .06148 .06406 .06665

125.00 .06652 .06898 .06969 .07156 .07352

150.00 .07017 .07470 .07517 .07647 .07792

175.00 .07368 .07880 .07913 .08003 .08107

200.00 .07605 .07834 .07890 .08272 .08348

141

498-740 O 74 - 10
T

* 2 for t^ie 6, 8) potential function

T* y

0. 0.2 0.4 0.6 0.8 1.0 1.5

.25 -759.69737 -744.08322 -729.14707 -714.84308 -701.13009 -687.97100 -657.28316

.275 -476.19255 -466.26521 -456.75999 —447.64882 -438.90632 -430.50974 -410.90068

.30 -320.82536 -314.04295 -307.54280 -301.30629 -295.31670 -289.55898 -276.09259

.325 -228.62434 -223.72501 -219.02510 -214.51161 -210.17283 -205.99824 -196.21970

.35 - 170.33563 -166.63720 - 163.08600 - 159.67249 - 156.38813 -153.22521 -145.80507

.375 - 131.54814 - 128.65569 -125.87586 -123.20139 -120.62580 - 118.14324 -112.31045

.40 - 104.62475 -102.29644 - 100.05680 -97.90016 -95.82146 -93.81612 -89.09757

.425 -85.26588 -83.34652 -81.49868 -79.71784 -77.99990 -76.34121 -72.43274

.45 -70.92509 -69.31107 -67.75594 -66.25598 -64.80784 -63.40853 -60.10670

.475 -60.02756 -58.64737 -57.31651 -56.03187 -54.79066 -53.59038 -50.75445

.50 -51.56270 -50.36549 -49.21023 -48.09428 -47.01526 -45.97107 -43.50081

.525 -44.86063 -43.80936 -42.79422 -41.81294 -40.86347 -39.94401 -37.76621

.55 -39.46474 -38.53180 -37.63032 -36.75833 -35.91406 -35.09593 -33.15594

.575 -35.05586 -34.22025 -33.41233 -32.63035 -31.87275 -31.13814 -29.39432

.60 -31.40596 -30.65148 -29.92156 -29.21465 -28.52937 -27.86451 -26.28461

.65 -25.76137 -25.13349 -24.52540 -23.93583 -23.36368 -22.80797 -21.48492

.70 -21.64532 -21.11089 -20.59278 -20.08997 -19.60153 -19.12666 -17.99414

.75 - 18.54359 - 18.08036 -17.63089 -17.19431 - 16.76983 - 16.35677 -15.37015

.80 - 16.14160 - 15.73411 -15.33839 -14.95372 -14.57941 -14.21488 - 13.34296

.85 - 14.23839 - 13.87548 - 13.52281 -13.17973 -12.84566 -12.52008 - 11.74034

.90 - 12.70068 - 12.37414 - 12.05659 - 11.74748 -11.44629 - 11.15255 - 10.44828

.95 - 11.43732 - 11.14091 - 10.85249 -10.57156 - 10.29767 - 10.03040 -9.38891

1.00 - 10.38418 - 10.11309 -9.84916 -9.59195 -9.34104 -9.09606 -8.50752

1.10 -8.73603 -8.50498 -8.27984 -8.06021 -7.84575 -7.63616 -7.13180

1.20 - 7.51229 -7.31138 -7.11545 -6.92416 -6.73722 -6.55438 -6.11375

1.30 -6.57246 -6.39498 -6.22177 -6.05255 -5.88706 -5.72508 -5.33424

1.40 -5.83068 -5.67189 -5.51682 -5.36522 -5.21688 -5.07160 -4.72068

1.50 -5.23189 -5.08832 -4.94805 -4.81084 -4.67651 -4.54487 -4.22662

1.60 -4.73935 -4.60841 -4.48041 -4.35516 -4.23247 -4.11219 -3.82114

1.70 -4.32769 -4.20739 -4.08974 -3.97456 -3.86170 -3.75100 -3.48295

1.80 -3.97890 -3.86768 -3.75886 -3.65229 -3.54782 -3.44532 -3.19694

1.90 -3.67987 -3.57647 -3.47528 -3.37615 -3.27893 -3.18351 -2.95216

2.00 -3.42084 -3.32426 -3.22972 -3.13706 -3.04617 -2.95694 -2.74046

2.20 -2.99488 -2.90960 -2.82607 -2.74417 -2.66378 -2.58481 -2.39306

2.40 -2.65961 -2.58330 -2.50852 -2.43516 -2.36313 -2.29234 -2.12030

2.60 -2.38912 -2.32010 -2.25244 -2.18604 -2.12081 -2.05668 -1.90073

2.80 -2.16645 -2.10347 -2.04171 - 1.98108 - 1.92149 - 1.86289 - 1.72031

3.00 - 1.98003 - 1.92214 - 1.86534 - 1.80957 - 1.75475 - 1.70081 - 1.56950

3.20 - 1.82174 - 1.76818 - 1.71563 - 1.66400 - 1.61324 - 1.56329 - 1.44163

3.40 - 1.68567 - 1.63586 - 1.58697 - 1.53893 - 1.49168 - 1.44517 - 1.33185

3.60 - 1.56749 - 1.52094 - 1.47524 - 1.43032 - 1.38614 - 1.34264 - 1.23661

3.80 - 1.46389 - 1.42020 - 1.37731 - 1.33514 -1.29366 - 1.25280 - 1.15319

4.00 - 1.37233 - 1.33119 - 1.29078 - 1.25105 - 1.21196 - 1.17346 - 1.07954

4.50 - 1.18413 - 1.14823 - 1.11296 - 1.07827 - 1.04411 - 1.01046 -.92832

5.00 - 1.03835 - 1.00653 -.97526 -.94448 -.91418 -.88431 -.81136

5.50 -.92210 -.89354 -.86547 -.83784 -.81062 -.78378 -.71820

6.00 -.82723 -.80135 -.77589 -.75083 -.72613 -.70177 -.64224

6.50 -.74833 -.72467 -.70140 -.67848 -.65589 -.63360 -.57911

7.00 -.68169 -.65991 -.63848 -.61737 -.59656 -.57603 -.52580

7.50 -.62464 -.60447 -.58462 -.56506 -.54578 -.52675 -.48019

142
d

2B*

T*2 dj*2 for the (14, 6, 8) potential function— Continued

y

1 *

0. 0.2 0.4 0.6 0.8 1.0 1.5

8.00 -.57525 -.55647 -.53799 -.51978 -.50182 -.48410 -.44071

8.50 -.53207 -.51452 -.49723 -.48020 -.46340 -.44681 -.40620

9.00 -.49400 -.47752 -.46130 -.44530 -.42952 -.41394 -.37578

9.50 -.46018 —.44466 -.42937 -.41430 -.39943 -.38474 -.34876

10.00 -.42994 -.41527 -.40082 -.38657 -.37251 -.35862 -.32460

11.00 -.37812 -.36492 -.35190 -.33907 -.32640 -.31388 -.28320

12.00 -.33535 -.32335 -.31152 -.29985 -.28833 -.27694 -.24902

13.00 -.29943 -.28845 -.27761 -.26692 -.25636 -.24593 -.22033

14.00 -.26886 -.25873 -.24874 -.23888 -.22914 -.21951 -.19589

15.00 -.24251 -.23312 -.22386 -.21472 -.20568 —.19675 -.17482

16.00 -.21957 -.21082 -.20220 -.19367 -.18525 -.17692 -.15648

17.00 -.19942 -.19124 -.18316 -.17519 -.16731 -.15951 -.14036

18.00 -.18158 -.17390 -.16632 -.15882 -.15142 -.14409 -.12608

19.00 -.16568 -.15844 -.15129 -.14423 -.13725 -.13034 -.11336

20.00 -.15142 -.14458 -.13782 -.13114 -.12454 -.11800 -.10194

22.00 -.12689 -.12074 -.11465 -.10863 -.10268 -.09679 -.08230

24.00 -.10658 -.10098 -.09545 -.08998 -.08457 -.07921 -.06602

26.00 -.08947 -.08435 -.07928 -.07427 -.06931 -.06440 -.05231

28.00 -.07488 -.07016 -.06549 -.06087 -.05630 -.05176 -.04060

30.00 -.06230 -.05792 -.05360 -.04931 -.04507 -.04086 -.03051

32.00 -.05133 -.04726 -.04323 -.03924 -.03528 -.03136 -.02171

34.00 -.04170 -.03790 -.03412 -.03039 -.02669 -.02302 -.01397

36.00 -.03318 -.02961 -.02606 -.02255 -.01908 -.01563 -.00713

38.00 -.02559 -.02222 -.01888 -.01558 -.01230 -.00905 -.00103

40.00 -.01879 -.01560 -.01245 -.00932 -.00622 -.00314 .00444

45.00 -.00453 -.00173 .00104 .00379 .00652 .00922 .01590 50.00 .00675 .00924 .01172 .01417 .01660 .01901 .02498 55.00 .01588 .01812 .02035 .02256 .02475 .02693 .03232 60.00 .02340 .02544 .02747 .02948 .03147 .03346 .03836 65.00 .02969 .03156 .03342 .03526 .03709 .03891 .04342

70.00 .03501 .03674 .03845 .04016 .04185 .04353 .04769

75.00 .03957 .04117 .04276 .04435 .04592 .04748 .05135 80.00 .04351 .04500 .04649 .04797 .04944 .05090 .05451 85.00 .04694 .04834 .04973 .05112 .05250 .05387 .05726 90.00 .04996 .05127 .05258 .05388 .05518 .05647 .05967

95.00 .05262 .05386 .05509 .05632 .05755 .05877 .06179

100.00 .05499 .05616 .05732 .05849 .05965 .06081 .06368

125.00 .06376 .06463 .06552 .06642 .06733 .06824 .07052

150.00 .06945 .07008 .07074 .07143 .07215 .07287 .07472

175.00 .07354 .07395 .07442 .07492 .07546 .07603 .07753

200.00 .07665 .07690 .07721 .07755 .07794 .07837 .07954

143
T* 2 for the (15, 6, 8) potential function

T*

7

0. 0.2 0.4 0.6 0.8 1.0 1.5

.25 -725.35473 -709.23928 -693.87417 -679.20587 -665.18659 -651.77341 -620.64669

.275 -454.70814 -444.45512 -434.66941 -425.31814 -416.37199 -407.80461 -387.89273

.30 -306.37986 -299.37046 -292.67352 -286.26735 -280.13258 -274.25185 -260.56207

.325 -218.35130 -213.28493 -208.43934 -203.79935 -199.35145 -195.08352 -185.13169

.35 -162.69738 -158.87069 -155.20696 -151.69511 -148.32527 -145.08859 -137.52878

.375 -125.66113 -122.66678 -119.79707 -117.04357 -114.39881 -111.85608 -105.90728

.40 -99.95191 -97.54038 -95.22697 -93.00510 -90.86893 -88.81322 -83.99602

.425 -81.46505 -79.47616 -77.56641 -75.73053 -73.96383 -72.26210 -68.26812

.45 -67.76946 -66.09627 -64.48822 -62.94098 -61.45072 -60.01400 -56.63689

.475 -57.36166 -55.93030 -54.55348 -53.22761 -51.94948 -50.71624 -47.81318

.50 -49.27676 -48.03471 -46.83903 -45.68666 -44.57488 -43.50128 -40.97053

.525 -42.87518 -41.78416 -40.73307 -39.71926 -38.74042 -37.79447 -35.56165

.55 -37.72094 -36.75242 -35.81865 -34.91735 -34.04651 -33.20431 -31.21388

.575 -33.50929 -32.64156 -31.80439 -30.99578 -30.21395 -29.45731 -27.66696

.60 -30.02249 -29.23879 -28.48219 -27.75091 -27.04339 -26.35823 -24.73516

.65 -24.62973 -23.97722 -23.34651 -22.73618 -22.14496 -21.57173 -20.21097

.70 -20.69694 -20.14129 -19.60363 -19.08278 -18.57769 -18.08743 -16.92144

.75 -17.73303 -17.25123 -16.78458 -16.33207 -15.89283 -15.46607 -14.44937

.80 -15.43758 -15.01359 -14.60258 -14.20367 -13.81611 -13.43924 -12.54001

.85 -13.61861 -13.24091 -12.87446 -12.51853 -12.17245 -11.83564 -11.03089

.90 -12.14886 -11.80891 -11.47885 -11.15802 -10.84586 -10.54183 -9.81449

.95 -10.94124 -10.63257 -10.33270 -10.04102 -9.75703 -9.48026 -8.81736

1.00 -9.93449 -9.65212 -9.37764 -9.11049 -8.85023 -8.59644 -7.98792

1.10 -8.35877 -8.11803 -7.88377 -7.65552 -7.43292 -7.21562 -6.69365

1.20 -7.18867 -6.97927 -6.77531 -6.57643 -6.38228 -6.19258 -5.73620

1.30 -6.28993 -6.10490 -5.92453 -5.74851 -5.57656 -5.40841 -5.00333

1.40 -5.58051 -5.41492 -5.25339 -5.09565 -4.94145 -4.79057 -4.42664

1.50 -5.00778 -4.85804 -4.71189 -4.56908 -4.42938 -4.29261 -3.96240

1.60 -4.53664 -4.40004 -4.26666 -4.13625 -4.00862 -3.88360 -3.58148

1.70 -4.14284 -4.01732 -3.89469 -3.77474 -3.65730 -3.54220 -3.26383

1.80 -3.80915 -3.69308 . -3.57964 -3.46863 -3.35990 -3.25329 -2.99526

1.90 -3.52305 -3.41514 -3.30962 -3.20634 -3.10513 -3.00586 -2.76545

2.00 -3.27520 -3.17439 -3.07580 -2.97925 -2.88460 -2.79175 -2.56672

2.20 -2.36760 -2.77857 -2.69143 -2.60606 -2.52232 -2.44011 -2.24068

2.40 -2.54674 -2.46706 -2.38903 -2.31255 -2.23749 -2.16376 -1.98477

2.60 -2.28786 -2.21578 -2.14517 -2.07591 -2.00793 -1.94112 -1.77879

2.80 -2.07473 -2.00894 -1.94447 -1.88122 -1.81911 -1.75804 -1.60958

3.00 -1.89628 -1.83580 -1.77651 -1.71832 -1.66115 -1.60493 -1.46817

3.20 -1.74475 -1.68879 -1.63391 -1.58004 -1.52710 -1.47502 -1.34828

3.40 -1.61449 -1.56243 -1.51137 -1.46123 -1.41194 -1.36345 -1.24537

3.60 -1.50133 -1.45268 -1.40495 -1.35806 -1.31196 -1.26660 -1.15608

3.80 -1.40214 -1.35648 -1.31167 -1.26765 -1.22436 -1.18175 -1.07790

4.00 -1.31447 -1.27147 -1.22925 -1.18777 -1.14697 -1.10680 -1.00887

4.50 -1.13425 -1.09672 -1.05986 -1.02363 -.98797 -.95285 -.86717

5.00 -.99464 -.96137 -.92868 -.89653 -.86488 -.83370 -.75758

5.50 -.88330 -.85344 -.82408 -.79521 -.76677 -.73875 -.67030

6.00 -.79244 -.76536 -.73873 -.71254 -.68673 -.66129 -.59913

6.50 -.71686 -.69210 -.66776 -.64380 -.62019 -.59690 -.53999

7.00 -.65302 -.63022 -.60780 -.58573 -.56398 -.54252 -.49005

7.50 -.59836 -.57725 -.55648 -.53602 -.51586 -.49597 -.44732

144
T* 2 for t^le (15, 6, 8) potential function— Continued

T* y

0. 0.2 0.4 0.6 0.8 1.0 1.5

8.00 -.55104 -.53138 -.51204 -.49299 -.47421 -.45568 -.41034

8.50 -.50967 -.49129 -.47320 -.45538 -.43780 -.42046 -.37801

9.00 -.47319 -.45593 -.43894 -.42221 -.40570 -.38940 -.34951

9.50 -.44078 -.42452 -.40851 -.39274 -.37718 -.36181 -.32419

10.00 -.41180 -.39643 -.38130 -.36638 -.35167 -.33714 -.30155

11.00 -.36214 -.34830 -.33467 -.32122 -.30796 -.29486 -.26276

12.00 -.32114 -.30856 -.29616 -.28394 -.27187 -.25995 -.23073

13.00 -.28671 -.27519 -.26383 -.25263 -.24157 -.23064 -.20384

14.00 -.25739 -.24677 -.23629 -.22596 -.21575 -.20567 -.18093

15.00 -.23213 -.22228 -.21256 -.20298 -.19351 -.18415 -.16118

16.00 -.21013 -.20095 -.19190 -.18296 -.17413 -.16540 -.14398

17.00 -.19081 -.18222 -.17374 -.16538 -.15711 -.14893 -.12886

18.00 -.17370 -.16563 -.15767 -.14980 -.14203 -.13435 -.11548

19.00 -.15844 -.15084 -.14333 -.13592 -.12859 -.12134 -.10354

20.00 -.14476 -.13757 -.13047 -.12346 -.11653 -.10967 -.09283

22.00 -.12123 -.11475 -.10835 -.10203 -.09578 -.08960 -.07440

24.00 -.10172 -.09584 -.09002 -.08427 -.07859 -. 072% -.05911

26.00 -.08530 -.07991 -.07458 -.06931 -.06410 -.05894 -.04624

28.00 -.07129 -.06632 -.06141 -.05655 -.05174 -.04697 -.03525

30.00 -.05921 -.05460 -.05004 -.04553 -.04107 -.03665 -.02576

32.00 -.04867 -.04438 -.04013 -.03593 -.03177 -.02765 -.01749

34.00 -.03942 -.03540 -.03143 -.02749 -.02360 -.01973 -.01022

36.00 -.03123 -.02745 -.02372 -.02002 -.01636 -.01273 -.00379

38.00 -.02393 -.02037 -.01685 -.01336 -.00991 -.00649 .00195 40.00 -.01738 -.01402 -.01069 -.00740 -.00413 -.00089 .00710

45.00 -.00367 -.00071 .00222 .00512 .00800 .01085 .01788

50.00 .00720 .00983 .01244 .01503 .01760 .02015 .02643 55.00 .01599 .01837 .02072 .02306 .02537 .02767 .03335 60.00 .02324 .02540 .02755 .02967 .03178 .03388 .03905

65.00 .02930 .03129 .03326 .03521 .03715 .03907 .04382

70.00 .03444 .03628 .03809 .03990 .04169 .04347 .04786

75.00 .03885 .04055 .04224 .04392 .04558 .04723 .05132

80.00 .04265 .04424 .04582 .04739 .04894 .05049 .05431 85.00 .04597 .04746 .04894 .05041 .05187 .05332 .05691 90.00 .04888 .05029 .05168 .05307 .05444 .05581 .05919

95.00 .05145 .05278 .05410 .05541 .05671 .05801 .06120

100.00 .05373 .05499 .05625 .05749 .05873 .05995 .06299

125.00 .06208 .06309 .06409 .06508 .06607 .06705 .06948

150.00 .06727 .06810 .06893 .06976 .07059 .07141 .07344

175.00 .07074 .07143 .07214 .07284 .07355 .07426 .07601

200.00 .07324 .07380 .07438 .07498 .07559 .07621 .07775

145
T*2

2 for the (16, 6, 8) potential function

0. 0.2 0.4 0.6 0.8 1.0

.25 -695.17476 -678.72607 -663.08714 -648.19777 -634.00443 -620.45921

.275 -435.84673 -425.37458 -415.40685 -405.90660 -396.84110 -388.18087

.30 -293.71035 -286.54655 -279.72005 -273.20652 -266.98433 -261.03412

.325 -209.34983 -204.16872 -199.22595 -194.50451 -189.98935 -185.66693

.35 -156.01069 -152.09511 -148.35546 -144.77933 -141.35571 -138.07473

.375 -120.51206 -117.44655 -114.51556 -111.70970 -109.02062 -106.44088

.40 -95.86825 -93.39820 -91.03404 -88.76843 -86.59486 -84.50752

.425 -78.14612 -76.10805 -74.15536 -72.28217 -70.48329 -68.75405

.45 -65.01606 -63.30076 -61.65573 -60.07615 -58.55775 -57.09675

.475 -55.03726 -53.56930 -52.16018 -50.80586 -49.50281 -48.24786

.50 -47.28504 -46.01078 -44.78650 -43.60881 -42.47471 -41.38152

.525 -41.14642 -40.02673 -38.95006 -37.91350 -36.91447 -35.95068

.55 -36.20355 -35.20926 -34.25242 -33.33049 -32.44123 -31.58266

.575 -32.16433 -31.27326 -30.41510 -29.58764 -28.78890 -28.01716

.60 -28.82006 -28.01505 -27.23922 -26.49062 -25.76749 -25.06830

.65 -23.64722 -22.97664 -22.32953 -21.70430 -21.09955 -20.51406

.70 -19.87433 -19.30306 -18.75112 -18.21723 -17.70022 -17.19908

.75 -17.03058 -16.53505 -16.05579 -15.59170 -15.14181 -14.70527

.80 -14.82793 -14.39172 -13.96942 -13.56011 -13.16294 -12.77719

.85 -13.08231 -12.69360 -12.31696 -11.95159 -11.59675 -11.25182

.90 -11.67168 -11.32172 -10.98238 -10.65292 -10.33271 -10.02119

.95 -10.51252 -10.19470 -9.88630 -9.58666 -9.29523 -9.01151

1.00 -9.54608 -9.25528 -8.97291 -8.69840 -8.43122 -8.17094

1.10 -8.03326 -7.78524 -7.54413 -7.30946 -7.08081 -6.85779

1.20 -6.90969 -6.69389 -6.48390 -6.27931 -6.07978 -5.88497

1.30 -6.04656 -5.85582 -5.67006 -5.48893 -5.31212 -5.13936

1.40 -5.36517 -5.19442 -5.02802 -4.86564 -4.70703 -4.55193

1.50 -4.81500 -4.66057 -4.50996 -4.36291 -4.21917 -4.07852

1.60 -4.36236 -4.22147 -4.08398 -3.94967 -3.81830 -3.68970

1.70 -3.98399 -3.85450 -3.72808 -3.60451 -3.48360 -3.36516

1.80 -3.66336 -3.54360 -3.42663 -3.31224 -3.20026 -3.09054

1.90 -3.38842 -3.27706 -3.16825 -3.06180 -2.95755 -2.85535

2.00 -3.15022 -3.04618 -2.94449 -2.84496 -2.74746 -2.65184

2.20 -2.75846 -2.66655 -2.57665 -2.48862 -2.40232 -2.31763

2.40 -2.45003 -2.36775 -2.28724 -2.20835 -2.13097 -2.05500

2.60 -2.20114 -2.12671 -2.05383 -1.98239 -1.91228 -1.84341

2.80 -1.99622 -1.92828 -1.86173 -1.79647 -1.73240 -1.66944

3.00 -1.82464 -1.76217 . -1.70095 -1.64090 -1.58192 -1.52394

3.20 -1.67892 -1.62111 -1.56445 -1.50884 -1.45422 -1.40050

3.40 -1.55365 -1.49987 -1.44714 -1.39538 -1.34451 -1.29448

3.60 -1.44483 -1.39456 -1.34525 -1.29685 -1.24927 -1.20245

3.80 -1.34942 -1.30224 -1.25595 -1.21050 -1.16581 -1.12183

4.00 -1.26510 -1.22065 -1.17704 -1.13420 -1.09208 -1.05062

4.50 -1.09174 -1.05294 -1.01486 -.97742 -.94060 -.90434

5.00 -.95743 -.92303 -.88924 -.85602 -.82333 -.79112

5.50 -.85031 -.81942 -.78908 -.75924 -.72986 -.70090

6.00 -.76288 -.73487 -.70734 -.68026 -.65359 -.62731

6.50 -.69016 -.66454 -.63937 -.61459 -.59018 -.56612

7.00 -.62872 -.60513 -.58194 -.55911 -.53662 -.51444

7.50 -.57612 -.55427 -.53278 -.51162 -.49077 -.47021

146
T

* 2 fOT t^ie potential function — Continued

T* y

0. 0.2 0.4 0.6 0.8 1.0

8.00 -.53057 -.51023 -.49021 -.47051 -.45108 -.43192

8.50 -.49075 -.47172 -.45300 -.43456 -.41638 -.39844

9.00 -.45564 -.43777 -.42019 -.40286 -.38578 -.36893

9.50 -.42444 -.40760 -.39103 -.37470 -.35860 -.34270

10.00 -.39654 -.38062 -.36496 -.34952 -.33429 -.31925

11.00 -.34873 -.33439 -.32027 -.30635 -.29262 -.27906

12.00 -.30925 -.29622 -.28337 -.27071 -.25822 -.24588

13.00 -.27610 -.26416 -.25239 -.24078 -.22932 -.21800

14.00 -.24787 -.23685 -.22599 -.21528 -.20471 -.19426

15.00 -.22354 -.21332 -.20325 -.19331 -.18349 -.17379

16.00 -.20235 -.19282 -.18343 -.17417 -.16501 -.15596

17.00 -.18373 -.17482 -.16603 -.15735 -.14877 -.14030

18.00 -.16725 -.15887 -.15061 -.14245 -.13439 -.12642

19.00 -.15255 -.14465 -.13686 -.12917 -.12157 -.11405

20.00 -.13936 -.13190 -.12453 -.11725 -.11006 -.10294

22.00 -.11669 -.10995 -.10331 -.09675 -.09026 -.08384

24.00 -.09789 -.09176 -.08572 -.07975 -.07384 -.06799

26.00 -.08205 -.07644 -.07090 -.06543 -.06001 -.05465

28.00 -.06854 -.06337 -.05826 -.05320 -.04820 -.04325

30.00 -.05688 -.05208 -.04734 -.04265 -.03801 -.03341

32.00 -.04672 -.04225 -.03782 -.03345 -.02912 -.02483

34.00 -.03779 -.03360 -.02946 -.02537 -.02131 -.01729

36.00 -.02988 -.02595 -.02205 -.01820 -.01439 -.01062

38.00 -.02283 -.01912 -.01545 -.01182 -.00823 -.00466

40.00 -.01651 -.01300 -.00953 -.00610 -.00269 .00068

45.00 -.00326 -.00017 .00288 .00591 .00891 .01188

50.00 .00724 .01000 .01272 .01542 .01810 .02076

55.00 .01575 .01823 .02070 .02313 .02555 .02795 60.00 .02277 .02503 .02727 .02949 .03170 .03388 65.00 .02864 .03072 .03278 .03482 .03684 .03885

70.00 .03362 .03554 .03745 .03933 .04120 .04306

75.00 .03789 .03968 .04145 .04320 .04494 .04667 80.00 .04159 .04326 .04491 .04655 .04818 .04979

85.00 .04481 .04638 .04793 .04947 .05099 .05251 90.00 .04764 .04912 .05058 .05203 .05347 .05490

95.00 .05014 .05154 .05292 .05429 .05565 .05701 100.00 .05236 .05369 .05500 .05630 .05760 .05888

125.00 .06050 .06156 .06261 .06366 .06469 .06572

150.00 .06555 .06644 .06733 .06820 .06907 .06993

175.00 .06888 .06966 .07043 .07119 .07194 .07269

200.00 .07118 .07187 .07255 .07323 .07390 .07456

147
T* 2 j7j,* 2 for the (17, 6, 8) potential function

T*

7

0. 0.2 0.4 0.6 0.8 1.0

.25 -668.42009 -651.75719 -635.95291 -620.94132 -606.66395 -593.06860

.275 -419.14077 -408.52504 -398.44436 -388.85823 -379.73090 -371.03034

.30 -282.49836 -275.23172 -268.32287 -261.74521 -255.47517 -249.49167

.325 -201.39052 -196.13190 -191.12610 -186.35456 -181.80087 -177.45033

.35 -150.10292 -146.12654 -142.33677 -138.72009 -135.26451 -131.95934

.375 -115.96629 -112.85156 -109.87952 -107.03992 -104.32371 -101.72279

.40 -92.26573 -89.75481 -87.35619 -85.06188 —82.86482 -80.75871

.425 -75.22029 -73.14757 -71.16539 -69.26736 -67.44782 -65.70174

.45 -62.59040 -60.84523 -59.17454 -57.57311 -56.03633 -54.56008

.475 -52.99084 -51.49675 -50.06500 -48.69125 -47.37165 -46.10278

.50 -45.53258 -44.23516 -42.99072 -41.79555 -40.64642 -39.54044

.525 -39.62621 -38.48580 -37.39097 -36.33856 -35.32577 -34.35015

.55 -34.86994 -33.85695 -32.88361 -31.94718 -31.04526 -30.17569

.575 -30.98288 -30.07479 -29.20155 -28.36075 -27.55027 -26.76825

.60 -27.76432 -26.94372 -26.15401 -25.39306 -24.65900 -23.95017

.65 -22.78537 -22.10148 -21.44241 -20.80646 -20.19211 -19.59804

.70 -19.15335 -18.57049 -18.00808 -17.46471 -16.93914 -16.43028

.75 -16.41538 -15.90962 -15.42105 -14.94848 -14.49087 -14.04732

.80 -14.29437 -13.84901 -13.41835 -13.00137 -12.59718 -12.20500

.85 -12.61324 -12.21627 -11.83204 -11.45967 -11.09839 -10.74752

.90 -11.25457 -10.89708 -10.55078 -10.21489 -9.88873 -9.57170

.95 -10.13797 -9.81323 -9.49842 -9.19284 -8.89589 -8.60702

1.00 -9.20691 -8.90972 -8.62142 -8.34137 -8.06904 -7.80394

1.10 -7.74927 . -7.49571 -7.24943 -7.00990 -6.77669 -6.54940

1.20 -6.66648 -6.44579 -6.23121 -6.02231 -5.81870 -5.62004

1.30 -5.83455 -5.63944 -5.44956 -5.26453 -5.08403 -4.90777

1.40 -5.17768 -5.00298 -4.83285 -4.66693 -4.50494 -4.34664

1.50 -4.64724 -4.48921 -4.33518 -4.18488 -4.03804 -3.89443

1.60 -4.21079 -4.06658 -3.92594 -3.78863 -3.65439 -3.52304

1.70 -3.84590 -3.71334 -3.58400 -3.45765 -3.33406 -3.21306

1.80 -3.53666 -3.41405 -3.29436 -3.17737 -3.06289 -2.95075

1.90 -3.27147 -3.15744 -3.04609 -2.93719 -2.83059 -2.72613

2.00 -3.04170 -2.93516 -2.83107 -2.72924 -2.62952 -2.53176

2.20 -2.66375 -2.56961 -2.47757 -2.38748 -2.29919 -2.21257

2.40 -2.36615 -2.28187 -2.19942 -2.11867 -2.03948 -1.96175

2.60 -2.12598 -2.04971 -1.97507 -1.90192 -1.83016 -1.75969

2.80 -1.92822 -1.85859 -1.79042 -1.72359 -1.65799 -1.59355

3.00 -1.76261 -1.69858 -1.63586 -1.57435 -1.513% -1.45460

3.20 -1.62195 -1.56269 -1.50463 -1.44767 -1.39173 -1.33672

3.40 -1.50102 -1.44589 -1.39185 -1.33882 -1.28672 -1.23548

3.60 -1.39597 -1.34443 -1.29390 -1.24430 -1.19555 -1.14760

3.80 -1.30386 -1.25548 -1.20804 -1.16145 -1.11566 -1.07061

4.00 -1.22245 -1.17687 -1.13216 -1.08826 -1.04509 -1.00260

4.50 -1.05505 -1.01526 -.97621 -.93783 -.90008 -.86292

5.00 -.92535 -.89006 -.85541 -.82134 -.78783 -.75481

5.50 -.82190 -.79021 -.75908 -.72847 -.69834 -.66865

6.00 -.73745 -.70871 -.68046 -.65268 -.62533 -.59837

6.50 -.66721 -.64092 -.61508 -.58966 -.56462 -.53993

7.00 -.60786 -.58364 -.55984 -.53642 -.51334 -.49058

7.50 -.55704 -.53461 -.51255 -.49084 -.46944 -.44833

148
T*2 for U7, 6, 8) potential function— Continued

T*

y

0. 0.2 0.4 0.6 0.8 1.0

8.00 -.51304 -.49215 -.47160 -.45137 -.43143 -.41176

8.50 -.47457 -.45503 -.43580 -.41687 -.39821 -.37979

9.00 -.44065 -.42229 -.40423 -.38644 -.36890 -.35160

9.50 -.41050 -.39320 -.37618 -.35941 -.34287 -.32655

10.00 -.38354 -.36719 -.35109 -.33523 -.31959 -.30415

11.00 -.33734 -.32260 -.30809 -.29379 -.27968 -.26575

12.00 -.29919 -.28578 -.27258 -.25957 -.24673 -.23405

13.00 -.26715 -.25486 -.24276 -.23083 -.21905 -.20741

14.00 -.23986 -.22852 -.21735 -.20634 -.19547 -.18472

15.00 -.21633 -.20582 -.19545 -.18523 -.17514 -.16516

16.00 -.19585 -.18604 -.17638 -.16685 -.15743 -.14812

17.00 -.17785 -.16867 -.15962 -.15069 -.14187 -.13315

18.00 -.16191 -.15328 -.14477 -.13638 -.12809 -.11988

19.00 -.14769 -.13956 -.13154 -.12362 -.11579 -.10805

20.00 -.13494 -.12725 -.11966 -.11216 -.10476 -.09744

22.00 -.11300 -.10606 -.09922 -.09246 -.08578 -.07916

24.00 -.09481 -.08850 -.08227 -.07612 -.07003 -.06401

26.00 -.07949 -.07371 -.06799 -.06235 -.05676 -.05124

28.00 -.06642 -.06108 -.05580 -.05059 -.04543 -.04033

30.00 -.05513 -.05017 -.04528 -.04044 -.03565 -.03091

32.00 -.04529 -.04067 -.03610 -.03159 -.02712 -.02270

34.00 -.03664 -.03231 -.02804 -.02381 -.01963 -.01548

36.00 -.02898 -.02491 -.02089 -.01692 -.01298 -.00908

38.00 -.02215 -.01831 -.01452 -.01077 -.00706 -.00338

40.00 -.01602 -.01240 -.00881 -.00526 -.00175 .00174

45.00 -.00317 .00002 .00318 .00631 .00941 .01248 50.00 .00701 .00986 .01269 .01548 .01825 .02099 55.00 .01527 .01784 .02039 .02291 .02542 .02789 60.00 .02208 .02443 .02675 .02905 .03133 .03359 65.00 .02779 .02995 .03208 .03419 .03629 .03837

J0.00 .03264 .03463 .03660 .03856 .04049 .04242

75.00 .03679 .03865 .04048 .04230 .04410 .04589 80.00 .04039 .0421Z .04384 .04554 .04722 .04889 85.00 .04353 .04516 .04677 .04836 .04994 .05151 90.00

.

.04629 .04782 .04934 .05084 .05234 .05382

95.00 .04873 .05018 .05162 .05304 .05445 .05585

100.00 .05090 .05228 .05364 .05499 .05633 .05766

125.00 .05886 .05997 .06106 .06214 .06321 .06427

150.00 .06383 .06475 .06567 .06658 .06748 .06837

175.00 .06712 .06792 .06872 .06951 .07029 .07106

200.00 .06939 .07011 .07082 .07152 .07221 .07290

149
d^B*

T* 2 for the (18, 6, 8) potential function

T* v

0 . 0.2 0.4 0.6

.25 -644.52021 -627.72847 -611.83562 -596.77082

.275 -404.22915 -393.52423 -383.37954 -373.75163

.30 -272.49831 -265.16598 -258.20837 -251.59695

.325 -194.29682 -188.98755 -183.94307 -179.14349

.35 -144.84138 -140.82450 -137.00308 -133.36263

375 -111.92053 -108.77249 -105.77388 -102.91374

.40 -89.06154 -86.52257 -84.10120 -81.78890

.425 -72.61958 -70.52280 -68.52082 -66.60680

.45 -60.43556 -58.66941 -56.98124 -55.36547

.475 -51.17392 -49.66132 -48.21396 -46.82722

.50 -43.97747 -42.66353 -41.40502 -40.19800

.525 -38.27788 -37.12258 -36.01496 -34.95165

.55 -33.68769 -32.66116 -31.67610 -30.72961

.575 -29.93599 -29.01552 -28.13148 -27.28132

.60 -26.82924 -25.99724 -25.19753 -24.42785

.65 -22.02263 -21.32893 -20.66115 -20.01749

.70 -18.51574 -17.92428 -17.35417 -16.80391

.75 -15.87168 -15.35827 -14.86280 -14.38402

.80 -13.82311 -13.37088 -12.93398 -12.51133

.85 -12.19917 -11.79596 -11.40604 -11.02847

.90 -10.88654 -10.52335 -10.17182 -9.83112

.95 -9.80765 -9.47767 -9.15801 -8.84796

1.00 -8.90793 -8.60588 -8.31307 -8.02884

1.10 -7.49913 -7.24133 -6.99109 -6.74787

1.20 -6.45240 -6.22796 -6.00986 -5.79765

1.30 -5.64804 -5.44956 -5.25650 -5.06848

1.40 -5.01283 -4.83508 -4.66206 -4.49341

1.50 -4.49981 -4.33898 -4.18231 -4.02949

1.60 -4.07764 -3.93085 -3.78778 -3.64813

1.70 -3.72464 -3.58970 -3.45809 -3.32956

1.80 -3.42545 -3.30062 -3.17881 -3.05978

1.90 -3.16885 -3.05275 -2.93940 -2.82860

2.00 -2.94650 -2.83801 -2.73204 -2.62842

2.20 -2.58072 -2.48483 -2.39112 -2.29941

2.40 -2.29266 -2.20680 -2.12283 -2.04061

2.60 -2.06016 -1.98245 -1.90642 -1.83193

2.80 -1.86868 -1.79774 -1.72829 -1.66021

3.00 -1.70833 -1.64308 -1.57917 -1.51651

3.20 -1.57212 -1.51173 -1.45256 -1.39453

3.40 -1.45502 -1.39882 -1.34374 -1.28970

3.60 -1.35327 -1.30073 -1.24922 -1.19867

3.80 -1.26406 -1.21473 -1.16637 -1.11889

4.00 -1.18520 -1.13873 -1.09315 -1.04840

4.50 -1.02305 -.98246 -.94264 -.90352

5.00 -.89740 -.86139 -.82605 -.79132

5.50 -.79716 -.76483 -.73307 -.70185

6.00 -.71534 -.68600 -.65719 -.62885

6.50 -.64727 -.62044 -.59407 -.56813

7.00 -.58975 -.56504 -.54074 -.51684

7.50 -.54051 -.51760 -.49509 -.47292

150
d

2B*

T*2 ^*2 for the (18, 6, 8) potential function— Continued

1 »

0. 0.2 0.4 0.6

8.00 -.49786 -.47653 -.45555 -.43490

8.50 -.46057 -.44062 -.42098 -.40165

9.00 -.42769 -.40894 -.39050 -.37234

9.50 -.39847 -.38080 -.36341 -.34629

10.00 -.37234 -.35563 -.33918 -.32298

11.00 -.32755 -.31249 -.29766 -.28305

12.00 -.29056 -.27686 -.26336 -.25007

13.00 -.25949 -.24693 -.23456 -.22236

14.00 -.23303 -.22144 -.21002 -.19876

15.00 -.21022 -.19946 -.18886 -.17841

16.00 -.19035 -.18032 -.17043 -.16068

17.00 -.17289 -.16350 -.15424 -.14510

18.00 -.15743 -.14860 -.13989 -.13130

19.00 -.14364 -.13531 -.12710 -.11900

20.00 -.13127 -.12339 -.11562 -.10795

22.00 -.10998 -.10288 -.09587 -.08894

24.00 -.09233 -.08586 -.07948 -.07317

26.00 -.07746 -.07153 -.06567 -.05989

28.00 -.06477 -.05929 -.05388 -.04854

30.00 -.05381 -.04872 -.04370 -.03874

32.00 -.04425 -.03951 -.03483 -.03020

34.00 -.03585 -.03141 -.02702 -.02268

36.00 -.02841 -.02423 -.02011 -.01603

38.00 -.02177 -.01783 -.01394 -.01009

40.00 -.01582 -.01209 -.00841 -.00476

45.00 -.00333 -.00004 .00321 .00642 50.00 .00658 .00952 .01242 .01529

55.00 .01462 .01727 .01989 .02249 60.00 .02126 .02367 .02606 .02843 65.00 .02682 .02904 .03124 .03341

70.00 .03154 .03360 .03563 .03764

75.00 .03560 .03751 .03940 .04127

80.00 .03911 .04089 .04266 .04441 85.00 .04218 .04385 .04551 .04716

90.00 .04487 .04645 .04802 .04957

95.00 .04726 .04876 .05024 .05170

100.00 .04938 .05080 .05221 .05360

125.00 .05720 .05833 .05946 .06057

150.00 .06208 .06304 .06399 .06492

175.00 .06534 .06617 .06699 .06780

200.00 .06760 .06834 .06907 .06979

151
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1. PUBLICATION OR REPORT NO.

NSRDS NBS-47

2. Gov’t Accession

No.

. TITLE AND SUBTITLE

Tables of Collision Integrals and Second Virial Coefficients

for the (m,6,8) In te molecular Potential Function

7. AUTHOR(S) „ „ , ^ Max Klein, H.J.M. Hanley, Francis J. Smith, Paul Holland

9. PERFORMING ORGANIZATION NAME AND ADDRESS

NATIONAL BUREAU OF STANDARDS

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

3. Recipient’s Accession No.

5. Publication Date Tune 1974

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16. ABSTRACT (A 200-word or less factual summary of most significant information. If document includes a significant

bibliography or literature survey, mention it here.)

Tables of collision integrals and second virial coefficients are presented for

the (m,6,8) potential function. Ten values of the repulsive exponent m are included

which range in unit steps from m = 9 through m = 18. Approximately 6 values of the

parameter, y, associated with the inverse eighth power term, are included for each

value of m. These tables are equivalent, therefore, to tables for 60 three-parameter

(m,6) potential functions. Comparisons of our results for m - 12 and y 0

(corresponding to the (12,6) function) have been made with other calculations. Based

on these comparisons, the accuracy of the present calculation appears to be at least

two or three parts in 10,000 depending on the temperature. A table is included which

contains the Boyle temperature, the Boyle volume, and the ratio of the intermolecular

separation at the potential minimum to the separation at the zero of the potential.

17. KEY WORDS (Alphabetical order, separated by semicolons) ^Ufnoinn*

Collision integrals; diffusion; potential; thermal conductivity; thermal diffusion,

transport properties; viscosity.

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