national Bureau of Standards

UNITED STATES DEPARTMENT OF COMMERCE • Luther H. Hodges, Secretary

NATIONAL BUREAU OF STANDARDS • A. V. Astin, Director

MICROWAVE SPECTRAL TABLES

Diatomic Molecules

Paul F. Wacker, Masataka Mizushima, Jean D. Peterson, and Joe R. Ballard

National Bureau of Standards Monograph 70 —Volume I

Issued December 1, 1964

For sale by the Superintendent of Dot'unients, I'-S. Government Printing Office Washington, D.C., 20402 - Price $2
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QCloo

Contents

Page

1. Introduction iii 2. Description of tables iv

3. Symbols used in tabulations v

4. Computation of intensities x

Table 1. Molecules listed alphabetically 1 Table 2. Casimir's function and hyperfine intensities 87

Bibliography 123

Library of Congress Catalog Card Number: 63-62235

II
Microwave Spectral Tables

Volume I: Diatomic Molecules

Paul F. Wacker, Masataka Mizushima, Jean D. Petersen, and Joe R. Ballard

For about 1500 spectral lines of diatomic molecules observed

by coherent radiation techniques, measured frequencies, assigned

molecular species, assigned quantum numbers, and newly computed

intensities are given. Molecular data, such as rotational constants,

dipole moments, and various coupling constants, determined by such

techniques, are also tabulated, as are other molecular constants used

in the intensity computations. References are given for all included

data. For determination of hyperfine spectra, both Casimir's function

and the intensity splitting factor are given for both integral and halfintegral quantum numbers J and I, permitting application to additional

molecules with unclosed electronic shells and with hyperfine splitting

produced by more than one nucleus.

1. Introduction

These tables represent the first volume of a revision of Kisliuk and Townes ' "Molecular Microwave Spectra Tables, " published as National Bureau of Standards Circular 518 [1]'". The spectral lines reported are not restricted to those in a given frequency range or to those

observed by conventional microwave spectroscopy, but rather include those observed by any

coherent radiation technique, including molecular beam techniques. However, the lines re- ported have been restricted to those measured in or extrapolated to negligible external fields

and to those applying to relatively isolated molecules and radicals. Nevertheless, molecular

parameters describing field- dependent data are included, particularly for paramagnetic gases

and when given in articles reporting field-independent data.

Physics Abstracts, Chemical Abstracts, Physical Review, Journal of Chemical Physics, a.nd Reviews of Modern Physics were searched through the end of I960. All the original sources so located plus various unpublished reports have been studied. The authors would like

to receive information regarding any errors, misinterpretations, and omissions (of data not

likely to be listed in abstract journals dated after I960), as well as reports on further unpublished work, addressed to the Radio Standards Laboratory, National Bureau of Standards,

Boulder, Colorado.

Numbers in brackets indicate references listed on page XVII.

Ill
In order to reduce transcription errors, all tabular material (except for the bibliography, molecular constants not used for computations, and a few exceptional cases) was

printed automatically as computer output and reproduced photographically. The computer input was punched on cards and the cards verified by a second operator. Such verification is better than proofreading, since two independent operations are compared electrically.

2. Description of Tables

For each spectral line, there are given the measured frequency and its uncertainty,

the assigned "isotopic molecular species, " the assigned initial and final quantum numbers, a reference, and intensities computed for 300° and 195° Kelvin. ("Isotopic molecular species"

is used here to indicate a molecular species in which the isotopic species of each individual

atom is specified. ) In table 1, the lines are listed alphabetically according to the International Union of Chemistry name of the compound [lO] and cross-indexed according to all other

commonly used names. The listing is subdivided first according to the isotopic molecular

species and then according to the major quantum numbers for the transitions. Within these

subdivisions, hyperfine components and incompletely identified transitions are listed ac- cording to frequency. For each molecule, a table of molecular constants, such as line widths,

rotational constants, dipole moments, and various coupling constants, is also given. These

constants comprise essentially all those reported in articles which include line frequencies:

as well as all other constants used for the computations. The latter constants are commonly

taken from standard tabulations and, if necessary, adjusted with simple relations (see Computation of Intensities). The internuclear distances are given diagr ammatically. The

distance given is r , the distance to the minimum in the potential energy curve.

Ordinarily, the frequencies and uncertainties given are those reported in the source deemed most accurate. Because the uncertainties reported in so many of the papers are not precisely defined, no attempt was made to reduce them to a common basis. The reader interested in precise estimates of both random and consistent error is referred to the original

papers or to the authors themselves. If two or more sources seemed to be of comparable ac- curacy, an average of the frequencies was used. In general, the molecular constants are

given as reported in the original article; it is not implied that the values are accurate to one

unit in the last reported digit. If insufficient data were available for computation of intensities,

unknown factors{see Computation of Intensities) were put equal to unity and the values marked

R for relative. No intensity was computed for "forbidden" lines. For each group of unresolved lines, both the individual intensities and their sums are given. Being direct computer

- 8 output, the intensities are written, e.g. , in the form 41. E-08, meaning 41.xlO

IV
Casimir's function and the hyperfine intensity splitting factor are given in table 2 (see

introduction to table 2 and Computation of Intensities) [2: pages 151 and 499 |^. All the angular momenta are given for half- integral as well as integral values, permitting application to

additional molecules with unclosed (electronic) shells or, for the intensity, to additional

molecules with hyperfine splitting caused by more than one nucleus.

The four-digit numbers refer to the bibliography at the end of this volume. Apart from

the numbers above 1725, the reference numbers are arranged according to year and then

alphabetically according to the first author. When constants obtained from non-microwave

sources have been used in fitting parameters to microwave data, reference is commonly

made to the microwave paper rather than to the original source. The bibliography includes

references to articles of possible interest, even to those giving no data suitable for inclusion

in these tables.

The spectral lines will be ordered according to frequency only in a final volume,

along with lines from non-diatomic molecules.

3- Symbols Used in Tabulations

The sources of some of the molecular constant data are indicated by small letters

immediately following the individual values. The significances are as follows:

Line width field: a rough average of values for many lines

m microwave spectroscopic measurement

Dipole moment field:

c computed by assuming polarizable ions (for alkali halides)

i computed from intensity and line width

m microwave Stark or electric resonance beam measurement

p computed from polarization data

Rotational constant field:

c computed from another isotopic species assuming inverse proportionality to the reduced mass

m microwave measurement for the given isotopic species

V computed from measured frequency neglecting centrifugal stretching

The notations [2: equations (1-50)], [4: page 201], etc., indicate equation (1-50) of

reference 2, page 201 of reference 4, etc. Most of the references given here are to standard sources where both a general background and references to the original literature

may be found.

V
y value listed is Dunham's Y^^ rather than the constant B

Vibrational frequency field:

c computed from another isotopic species assuming inverse proportionality to the square root of the reduced mass

-[ I measurement not attributed to a specific isotopic molecular species

( ) from simple theoretical relations and measured quantities

[ J from extrapolation of related data

The following spectroscopic symbols are used in the tabulations. In some cases, a given symbol has become relatively standard for more than one quantity. Rather than introduce new symbols in the tabulations, the literature designations are used together with distinguishing words for the less common usages.

', " used to distinguish upper (') and lower {") energy levels in a transition

+ , - used as subscripts on integers denoting oxygen lines. The integer

denotes the unchanging quantum number N, while the subscripts + and - indicate that the J value changes from N+1 to N and N-1

to N, respectively, in absorption.

+ , - as right superscripts to an electronic state designation, indicate

that the electronic wave function is symmetric and antisymmetric,

respectively, with respect to reflection in a plane containing the

internuclear axis [5: page 217]. For NO or OH, designations are

equivalent to Mulliken's c and d designations.

a, y coefficients in the power series for the rotational constant

B = B - q(v + 1/2) + v(v + 1/2)^ + V e

Q, p, y the i- uncoupling constants

1

|(n|Ai^'|2)|^ ^ ^

1

and

4^ (nlALx'IsKslBi^'ln) _

TP I

respectively, where L ^ is the component of electronic orbital

angular momentum about an axis perpendicular to the internuclear

VI
2 axis, n indicates the 11 electronic ground state, S indicates a given T, electronic state, E indicates the energy difference between the given 2 state and the ground state, and the summation

is taken over all Z states (reference [12]; reference [13], which

introduces the a, (3, y notation, omits the factor 4 from the

definitions of p and y, yet uses the values of [12] for them)o

a ,6 A-doubling constants; a = p. + 2q. and 6 = q, p^p ^ p A A P A

\ multiplet splitting constant A/B^

\^ See textual material on oxygen.

|j, electric dipole moment

[Iq, See textual material on oxygen.

V measured line frequency

Av/p half-width (of spectral line) at half-maximum intensity per unit

pressure.

S state for which the axial component of the electronic orbital

angular momentum is zero. A right subscript g indicates symmetry of the electronic wave function with respect to inversion in

the center of the molecule. For other auxiliary notations, see IT and +, - . n state for which the axial component of the electronic orbital

angular momentum is h/Zu. The left superscript is 2S+1 where

Sh/27r is the resultant electronic spin angular momentum and the

numerical right subscript is 277 /h times the sum of the axial

components of the electronic orbital and spin angular momenta.

X the angle between the internuclear axis and the radius vector from

the nucleus to the electron.

2 * (0) density of the unpaired electrons at the given nucleus.

00 fundamental vibrational frequency

w^x coefficient in the power series expansion for the vibrational energy

h [cj^(v+l/2) - aj^x^(v+l/2)^ + . . ]

. A multiplet splitting constant, namely the coefficient in the ex- pression hA S'-'X for the coupling energy between the resultant

electronic spin and the axial component of the orbital angular

momentum [2: page 186],

VII
a, b, c, d, magnetic hyperfine coupling constants, namely [11]

2

a.2U(l/r3) + ^ ^U^2

av V r3 y av 3

e . cos Vl \ _ d ^ ^^fllll^ , \^ r-i yav ^ yav

where U = is the absolute value of the Bohr magneton,

is the nuclear magnetic moment, and I is the nuclear spin in

units of h/27r.

B, D coefficients in the power series expansion for the rotational energy

h[BJ(J+l) - DJ^(J+1)^ + ...

] [2: page 1-36]. A numerical subscript

generally indicates the vibrational quantum number v, but for oxygen see the textual material relating to this compound. For OH

2 and NO, B and B indicate the B values for the lowest 11 and

2 P S electronic states, respectively. For small spin uncoupling, the

effective B value includes electronic effects [textual material on OH; 2: page 186; 12: page 1728].

C coefficient in the expression hC !• J for the magnetic hyperfine

coupling energy of a diatomic molecule [2: equation 8-40]. The

nucleus involved is indicated in parentheses,

e as a subscript, indicates the minimum in the vibrational potential curve. eQq quadrupole coupling constant. With Feld's normalization used here,

the quadrupolar energy for a linear molecule is -heQq f(I, J, F)

where f{I, J, F) is Casimir's function [table 2; 2: pages 150, 151,

499]. The mean field gradient q is taken along the internuclear

axis. The nucleus involved is indicated in parentheses.

e^Q ^'^ ^\lv quadrupole coupling constant with the field gradient taken perpendicular to the internuclear axis. Occurs for OH and NO.

F, Fj^ quantum number such that Fh/277 is the total resultant angular

momentum including nuclear spin. The quantum number F^ excludes nuclear spins except that for the nucleus most closely

coupled to the non-nuclear angular momentixm.

g, gj Zeeman splitting factor. For a paramagnetic molecule gj is defined by the expression for the Zeeman energy -^^ gj J* H, where

VIII
(jLq is the absolute value of the Bohr magneton and iT is the nnagnetic field. For the smaller Zeeman energy of a closed shell

molecule, [i^ in the expression is replaced by \x^, the nuclear

magneton; in this case gj is essentially independent of J and the

subscript is commonly omitted. A + or - superscript on the symbol for OH indicates a ^11^ or ^11 electronic state [2 : page 286],

moment of inertia

nuclear spin quantum number. Ih/27r is the angular momentum due

to the spin of a given nucleus.

quantum number. Jh/277 is the total (resultant) angular momentum

apart from nuclear spin.

Projection of total angular momentum 5*" in the direction of electric or magnetic field.

quantum number. Nh/27r is the total (resultant) orbital angular

momentum including molecular rotation. as a subscript, generally indicates the vibrational quantum number V = 0, but see textual material on oxygen,

the A-doubling constants

= (n|AL^,|s)(z:|BLj.,|n) and

where s is an even integer for a state and an odd integer for

a Z State [14: pages 494 and 487] and the other symbols have

the same significance as in the expressions for the i-uncoupling

constants a, |3, and Y. electric quadrupole moment of the nucleus [2: page 134]. The

nucleus involved is denoted in parentheses.

distance from a given nucleus to an unpaired electron, but r^ is

the internuclear separation for v=0.

vibrational quantum number which assumes" integral values (.v=0

for the ground state).

coefficient in Dunham's expression for the energy levels of a

IX
rotating vibrator

Y^.{v+1/Z) J-'(J+l)j .

J

The following approximate relations exist: Y ~B , Y ~-D , Y in~" ' ' X , and Y ~y [2: pages 9-111.

10 e 11 e e e Zl e

^

4. Computation of Intensities

Since the spectral lines reported in these tables are observed in or extrapolated to negligible external fields, neither the initial nor final orientation of the total angular momentum (M value) has an effect upon the frequency, and hence they are not reported. The

intensity of absorption of unpolarized radiation is similarly independent of the initial M

value [2: page 23; 4: page 201], and the peak intensity of a narrow pressure-broadened

line is essentially independent of pressure, assuming the Van Vleck- Weisskopf line shape.

The intensities reported in these tables are the fractional energy absorption per centimeter

under the preceding conditions.

Subject to the conditions of the preceding paragraph, the intensity of absorption from

a single state to a set of states, which differ only in M value but which set includes all possible values, is given by [2: equations (1-50) and (13-19)]

y =87r^Nf Ihl I^v ^/(3ckTAv) , (1) max p pq o '

where

3 N = the number of molecules per cm of the isotopic molecular species

giving rise to the absorption,

f = the ratio of the number of molecules of the given species in a given state or set of states to the total number of molecules of the

given species in all states,

f = f for the initial state p, P

V = the resonant frequency (or center approximately) of the absorption

line,

Av = half-width of the line at half-maximiim intensity [the line breadth

parameter),

X
c = velocity of light,

k = Boltzmann's constant,

T = absolute temperature in degrees Kelvin, and

I |2

UL = the square of the absolute value of the dipole moment matrix

' pq

element for a transition from the initial state p to a set q of final

states, summation being carried out over the three perpendicular

laboratory-fixed directions of space and over the permitted

values of the set of final states. A simple extension of the preceding discussion is required. For non-zero initial F

values, more than one initial M value is involved. Further, for the rotational spectrum

of NO, the number of both initial states and sets of final states is doubled by the A-doubling.

However, these situations can be considered to involve independent sets of transitions , with

the original formulation holding for each set. Since in these cases the u. 's are the

pq

same for each set. of transitions, the preceding formula holds if f is replaced by f , the P

I 1

2

fraction of molecules in the whole set of initial states. For this more general case, | |jl

|

I 1

2

IS written IH-pQl • So that hyperfine splitting may be treated as a subsidiary effect, a hypothetical molecule is introduced in which all the nuclear spins are changed to zero, but in which the

masses and distinctions between types of nuclei (even between isotopic forms of the same

element) remain unchanged; such a molecule is henceforth called "the hypothetical molecule, "For practical computations, the following additional symbols are introduced:

5 = the ratio of the number of molecules belonging to the given isotopic

molecular species to the total number of molecules of that kind,

regardless of isotopic species,

. p = total pressure, in mm of Hg, of all the molecules of a given kind,

regardless of isotopic species,

Ly = Loschmidt's number, the number of molecules of an ideal gas per

cm^ at 0°C and 760 mm Hg,

h = Planck's constant,

B = the rotational constant in megacycles,

V/ = 10^ h/kT,

X = BW,

t = hc/kT,

V = the ratio of Ih^pqI the hypothetical molecule to |j. , the square

of the permanent dipole moment,

XI
Z = the sum of the Boltzmann factor s , exp(-E/kT), over the set P of

initial states of the hypothetical molecule. Constant terms are regularly omitted from the (relative) energy E. Note that the nuclear spin factors (21 +1) do not occur, since the definition is in m

terms of the hypothetical molecule. Z is approximated as the product Z^Z^, where Z depends only on the vibrational quantum

numbers and Z depends only upon the rotational (and sometimes

electronic) quantum numbers.

Q = the sum of Z's over all states of the hypothetical molecule. The

fractional number fp of hypothetical molecviles in the initial set P of states is Z/Q. Like Z, Q is approximated as the product of

a vibrational factor Q and rotational-electronic factor Q . V r H = the hyperfine structure intensity splitting-factor. This factor contains both dipole moment and population factors such that the product of a given H with the intensity for the hypothetical molecule

is equal to the intensity of a given hyperfine component of the given

spectral line. Values for specific cases are discussed on pages

XIV and XV.

The absorption coefficient may now be written as

y = G{|a^s/Q Q }Z Z VH v ^

, (2) max r vJ r V o

where G depends only upon the line width and temperature, the factor in brackets for our purpose depends only upon the molecular species and temperature, and the remaining factors depend at least upon the line involved.

-3/4 , For computational purposes, it is assumed the Av is proportional to pT 12: pages 24, 368-369; 4: page 196] and we write ( Av /p)^^^ for the value of Av/p at 300° K. Thus

Av/p - (Av/p)^^^ (T/300)"^^^ .

Then for an ideal gas

N/Av = N/[p(Av/p)3QQ (T/300)"^^^] = 273. l6sL^/[760T (Av/p)^^^ (T/300)"^^^] .

In case no value for Av is known, 25 Mc/mmHg - (Av/p)-„„ , is used as a standard value, 300std

yielding a standard G, *^g^^> equation (2). When an experimental value is known for Av,

XII
G'AAv/p)^^^ replaces G in the latter equation, yielding

y =G'{;a^s/Q Q (Av/p)_..}Z Z VHv ^

, (3) max r V 300^ r v o

where G' = G j(A^/p)onn f^" simplify computations, only one line width parameter was

used for each molecule; the value used is given in the appropriate molecular constant table.

- 1

8

Expressing the dipole moment in Debye units (10 esu) and the frequency in megacycles, the following values were obtained for the G's:

T = 300°K T = 195'K

G , std

, Z. 730 X lO"^^ 4. 677 X lo'^^

G' 6. 825 X

10"^° 1. 169 X lo"'^

The quotient s of the n\imber of molecules belonging to a given isotopic molecular

species divided by the total number of molecules, regardless of isotopic species, is given

by

s = (cr/o-Ja^a^ , (4)

where (cr/cr.) is two for the heteronuclear oxygen molecules but unity for the other isotopic

molecular species of this tabulation [7: introduction]. The symbols a^ and a^ represent,

for the first and second atoms respectively, the natural terrestial ratio of the abundance of

the given nuclide to the total abundance of all the nuclides with the given atomic number.

The abundances are taken from the American Institute of Physics Handbook [6: pages 8-5 to 8-18]. Rather than report zero intensity for the tritium halides, the abundance of tritium was taken as 100 percent and the resulting intensities marked R for relative. Equation (4)

neglects the slight differences in chemical stability of the isotopic molecular species.

For the vibrational partition function, the harmonic oscillator approximation

= 1/[1 - exp( -cot)] (5)

was used, where oj is the fundamental vibrational frequency in cm ^. (For the gallium and

XIII
indium halides, Q is quite significantly different from unity. ) Similarly,

Z = exp(-vcot) (6) V

was used, where v is the (integral) vibrational quantum number.

When possible, the w values were taken from Herzberg's tabulations [6: pages 7-137

to 7-141; 5: pages 501-581]. If the oj value was not available for the required isotopic molecular species, it was assumed to be inversely proportional to the square root of the reduced

mass [Z: equation 1-41]. If one or both of the nuclides corresponding to the measured oj value was unknown, the tabulated value was enclosed in square brackets; if the isotopic dependence was significant, the reduced mass of the measured value was ass\imed to be that

given in Herzberg's tabulation [6: pages 7-137 to 7-141].

For the closed shell molecules (here molecules other than the hydroxyl radical, nitric

oxide, or oxygen), the Mulholland approximation [3: equation V, Zl]

Q = (1 + X/3)/X (7) r

suffices. For the same group of molecules,

VZ^ = (J+1) exp[-XJ(J+l)] (8)

was used [Z: equations 1-Z7 and 1-76] for the transitions J+l*-J. If no value for permanent

dipole moment was available, it was set equal to one Debye and the resulting intensity

marked R for relative.

The expressions used for V, Z , and Q for the unclosed shells are discussed under

r r the individual molecules.

For a molecule with only one non-zero nuclear spin I, the hyperfine structure splitting factors H(I, J', F';I, J", F") for the transitions I, J', F'-^I, J", F" are given by

9 9

[8: equations 2 Za and Z Zb, page Z38]

J+l-*-J transition

H(I. J+l.F+l; I, J,F) = (J+TM3)(J+F+I+^Z)(J+F-I+Z)(J+F-I+1) ^^ ^

H(I, J.l, F; I, J, F) .- (J+TMZ)(J+F-I.1)(J-F.I+1)( J-F-I)(ZF.l) ^ ^ ^^^^ F(F+1) A

XIV
H(I, J+1. F-1 ; I. J, F) - (J-FW2)(J-F+I-H)(J-F-I+1)(J-F-I) ^ ^^^^ F A

J-^J transition

H(I. J.F.I; I. J.F) - -(JH-F-H.ZHJt-F-I+lHJ-F-t-IKJ-F-I-l) ^ ^ ^^^^ F+1 B

H(I. J. F; I, J, F) = [J(J^1HF(F+1)-I(I-H)]^ (2F+1 ) ^ ^^3^

F(F+1) B

and

H(I.J.F-l;I,J.F)=-(^+^+^^^)(-^^^-^)<^-^^^-^^)^^-^-^)., , (14)

F B

where cj^ and co^ are normalization constants such that ^ ^

H(I, J',F'; I, J", F") equals

unity. Substituting the expressions for the sums given in Condon and Shortley (equations Z 6)

shows that

and

4(ZJH)(ZH-1)(J+1)(2J+3)gj = 1

4(ZJ+1)(ZI+1)(J+1)Jw^ = 1

(Attention is called to a typographical error in Townes and Schawlow's expression for the

transition J, F—J-1,F (Z: page 15Z). Since these expressions assume only that the J's and

F's are good quantiim numbers and that the hyperfine splittings are small compared to kT,

they apply for the molecules with unclosed shells as well as with closed shells. These H's are given in table 2 of this volume for both integral and half-integral values of J (see next

paragraph).

For hyperfine splitting associated with two nuclei, the following treatment was used.

If the hyperfine splittings are small compared to kT and if the spin of the first nucleus

combines with J to form a good (angular momentum) quantum number F^, the previous H

factors can be applied with I^,J,F^ substituted for I, J, F, then again with I^.F^.F substituted for I, J, F. In this tabialation, two nuclei contribute to hyperfine splitting only for closed

shell molecules; in this case the preceding quantum number condition is obeyed provided the

quadrupole coupling constant eQq for I^ is large in absolute value compared to that for I^ (and both large compared to the small magnetic couplings) [Z; page 17Z]. Rather than carrying

out the tedious computations for intermediate coupling [2: page 17Z] or reporting no hyperfine

XV
intensities in some cases, the preceding successive factors were used in all cases and a footnote concerning accuracy added when the couplings were not widely different. In any event,

for fixed initial and final J's and F's, the sums over all possible initial and final F^'s are accurate according to the principle of spectroscopic stability [9: pages 137-142, equation 42j,

the J's, I's, and F's being good quantum numbers.

All computations were carried out on a digital computer so that there are few, if any,

random computational errors. There are inaccuracies due to the approximations mentioned

and due to inaccurate molecular constants. All constants used in the computations are given in

the molecular constant tables, so that correction can be made for improvement in such constants. Further, the ratios of intensities are often better than the intensities themselves.

The tables of Casimir's function and the hyperfine splitting factors are described in

detail immediately preceding the tabiilar material itself.

We wish to acknowledge the assistance of Dr. Robert L. Wallis, Thomas E. Kilpatrick,

Marlene R. Pratto, and William L. Longley, Jr.

XVI
References

P. Kisliuk and C. H. Townes, Molecular Microwave Spectral Tables, NBS Circular

518 (1952).

C. H. Townes and A. L. Schawlow, Microwave Spectroscopy (McGraw-Hi]l Book Co. , Inc. , New York, New York, 1955).

G. Herzberg, Infrared and Raman Spectra of Polyatomic Molecules, Third Printing

(D. Van Nostrand Co. , Inc. , New York, New York, 1947).

W. Gordy, W. V. Smith, and R. F. Trambarulo, Microwave Spectroscopy (John Wiley

and Sons, Inc. , New York, New York, 1953).

G. Herzberg, Spectra of Diatomic Molecules, Second Edition, Sixth Printing (D. Van

Nostrand Co. , Inc. , New York, New York, 1959).

American Institute of Physics Handbook (McGraw-Hill Book Co. , Inc. , New York,

New York, 1957).

Volume III of these spectral tables.

E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra, Fifth Printing

(Cambridge Univ. Press, Cambridge, England, 1959).

J. H. Van Vleck, The Theory of Electric and Magnetic Susceptibilities, Third

Printing (Oxford Univ. Press, London, England, 1948).

J. Am. Chem. Soc. _82, 5517 (1960),

George C. Dousmanis, Magnetic Effects and Electronic Structure of NO, Phys. Rev.

103 , 1727 (1956).

J. J. Gallagher and C. M. Johnson, Uncoupling Effects in the Microwave Spectrum

of Nitric Oxide, Phys. Rev. 103 , 1727 (1956).

P. G. Favero, A. M. Mirri, and W. Gordy, Millimeter- Wave Rotational Spectriim

of NO in the ^n^/^ ^^ate, Phys. Rev. 114 , 1534 (1959).

J. H. Van Vleck, Sigma-type Doubling and Electron Spin, Phys. Rev. 33, 467 (1929).

xvn

Table 1

Molecules Listed Alphabetically

According to I.U.C. Name

In this table, the spectra and molecular data are ordered

alphabetically according to I.U.C. names of the compounds, and

cross indexed according to other common names of the molecules.

BrCl Bromine raonochloride Z. 13% A

Isotopic

Molecular

Spe c le s

Av/p

Debye Mc/ sec

"n

-1 cm

''e Mc/sec

eqQ(Br)

Mc/ sec

eqQ(Cl)

Mc/ sec

Br'^^Cl^^ 0.57 * l/to U 1 9 Q 9 9 +0 ( D •

o

Br^^Cl^^ 4499.84 m [43 Oj 21.94 +876.8 - 81.14 Br^^Cl^^ 4536.14 m [4301 22. 95 +732.9 -103.6 Br«lci3^ 4365.01 m [430] 21.67 +732.9 - 81.14 Reference s 0363 0363 9901 0363 0363 0363

Isot op ic Molecular

Spec ie s

Rota t ion

J -i-J

Vibrat io n V

t •^1t F f" Mc/sec

Intensity cm

^

300° 195° Ref

Br^^Cl^^ l<-0 grou nd 1/2 2 3/2 3 8899 .50 12.(:-U9 36.fc-09 0363

5/2 3 3/2 3 9063.77 52-E-lO l5.t-09

5/2 2 3/2 3 9074.9

1

37.6-11 ll.t-10 5/2 4 3/2 3 qnan 7S 33.6-09 96.6-09

5/2 1 3/2 0 9088.61 56.6-10 16.6-09 3/2 3 3/2 3 9291.61 22.6-09 63.6-09

3/2 2 3/2 3 9307.96 5',.t-l0 16.6-09

1 5/2 4 3/2 3 9034.14 42.E-10 40.6-10 0363 Br^9ci37 l<-0 ground 1/2 2 3/2 3 8559.58 37.6-10 11.6-09 0363

5/2 3 3/2 3 8725.49 15.E-10 4A.6-10

. 5/2 2 3/2 3 8733.84 U.e-ll 32.6-11

5/2 4 3/2 3 8738.47 99,6-10 29.6-09

5/2 1 3/2 0 8745.17 17.E-10 48.6-lU 3/2 3 3/2 3 8951.38 65.6-10 19.6-09

3/2 3/2 3 8964.19 16.6-10 47.6-10 Br^^Cl^S l<-0 ground 1/2 2 3/2 3 8865.66 12.E-09 35.6-09 0363

5/2 3 3/2 3 9001.44 50.6-10 14.6-09

3
Isotopic

Molecular

Species

Rotat ion

1 tt J •'-J

Vibration

V

g Fl

1 F f"

VMc/ sec

Intensity cra"''^ 300° 195° Ref

81 35 Br Cl^^ l«-0 ground 5/2 2 3/2 3 9012.97 35.e-U lo.fc-io 0363

5/2 4 3/2 3 9018.40 32.t-09 92.t-09

5/2 1 3/2 0 9026. 17 53.6-10 15.6-09 3/2 3 3/2 3 9193.26 21.6-09 60.6-09

3/2 2 3/2 3 9209.57 52.6-10 15.6-09

1 5/2 4 3/2 3 8972.41 40.6-10 38.6-10 0363

Br^-^Cl"*^ l<-0 ground 1/2 2 3/2 3 8525.53 35.6-10 10.6-09 0363 5/2 3 3/2 3 8663.40 l'..6-10 42.6-10

5/2 2 3/2 3 8671.87 10.6-11 30.6-11

5/2 4 3/2 3 8676.37 93.E-10 27.6-09

5/2 1 3/2 0 8683. 06 16.6-10 45.6-10

8/2 3 3/2 3 8852.93 60.6-10 17.6-09

BrF Bromine monofluoride

^ ^

Isotopic

Molecular

Species

Av/p

Mc/mm Debye

Be

Mc/ sec

<%-1 cm

I 10-4°gcm2

%

Mc/sec

eqQ(Br)

Mc/sec

1.29 m 10706.9 m 671 78.355 156.3 +1089.0

B^81pl9 10655.7 m 78.658 155.8 + 909.2 References 0362 0362 9900 0362 0362 0362

Isotopic

Molecular

Species

Rotation

J •^J

Vibration

V

1 t F

It ^1It F

VMc/ sec

Intensity cm

^

300° 195° Ref

B^79pl9 l->-0 ground 1/2 3/2 20985.

28.6-07 75.6-07 0362

5/2 3/2 21202.6 85.6-07 23.6-06

3/2 3/2 21475.4 58.6-07 16.6-06

4
Isotopic Ro tat ion Vibrat ion 1 II II V Intensity cm~^ Molecular F F Ref Species J •^J V Mc/sec 300° 195°

Br^^F^^ 1-^0 1 1/2 3/2 20828,9 U.E-08 53.E-09 0362

5/2 3/2 21045.6 33.fc-08 l6.t-08

3/2 3/2 21319.4 23.E-08 ll.t-08 Br«lFl9 ground 1/2 3/2 20928.4 27.E-07 73.t-07 0362

5/2 3/2 21110.4 82.E-07 22.E-06

3/2 3/2 21337.5 56.E-07 15.E-06

1 1/2 3/2 20772.3 ll.E-08 51.E-09 0362

5/2 3/2 209 54.6 32.F-08 l6.fc-08

3/2 3/2 21181.7 22.E-06 ll.E-08

CS Carbon monosulfide

^ £'3V9 A (£>— -<D

Isotopic

Molecular

Species

Av/p

Mc/mm Debye

Be

Mc/ sec

"e

-1 cm

^e

Mc/ sec

C(S) Mc/ sec

Additional

Microwave References

Cl2s32 1.97 m 24584. 35m 1285 +177.544 0.019 1502

24381. Olra +12.835 1463

(,12s34 24190.20m 0659 Cl3s32 23205.22m

References 1042 1042 9900 1042 1042 104 2

Isotopic

Molecular

Species

Rotat ion

1 " J -J

Vibrat ion V

1 1 F f"

VMc/ sec

Intensity cm 300° 195° Ref

(,12s32 I'^O ground 48991.000 +.006 9'>.E-05 25.E-0'V 1042

1 48635.912 ±.040 19.E-07 19.E-08 1042

(,12s33 l<-0 ground 1/2

5/2

3/2

3/2

48 583.264 ±.010 48585.906 ±.010

12.E-07 32.E-07

36.E-07 9b.t-07

1042

5
Isotopic

Molecular

Species

Rotation

J i-J

Vibrat ion V K f' f"VMc/sec

Intensity cm

^

300° 195° Ref

pl2s33 l'<-0 ground 3/2 3/2 48589.068 ±.010 24.t-07 63.fc-07 1042 ^13^32 I'^O ground 46247.472 +.020 88.E-07 23.E-06 1042 ^12^34 l*-0 ground 48206.948 +.006 '»0-E-06 lO.E-05 1042

CO Carbon monoxide ^ IZ8Z ^

Isotopic

Molecular

Species

iv/p Mc/mm

[> Debye Mc/ sec

u

e-1 cm

eqQ(6)

Mc/ sec

»o kc/ sec

g nuclear magnetons

B

e Mc/ sec

a . e Mc/ sec cl2ol6 0.112 m 57635. 97'm 2170 183.8 -0,26910 57898. 568 525.24

ci^oi' +4.43 56432,675

cl2ol8 -0.25622 55135.449 cl3ol6 -0.25704 55346.447

52583.288

-0.24664 53166.936 References 1436 1641 9900 1367 1641 1501 1641 1641 Footnote: !:--"-«( be low) This value is a weighted average of values presented in the following papers:

1144, 0422, 1436, 0285, 1641,1045, 1501, 1306.

Isotopic

Molecular

Spec ies

Rotation

J -^J

Vibration

V

1 '^l1 F

?t ^1 f"

VMc/ sec

Intensity cm"''^ 300° 195° Ref

^12^,16 I'^O ground 115271.201 41.E-06 ll.E-05 .1501

2'^1 ground 230537.974 ±.030 32.E-05 84.fc-05 1641

3*-2 ground 345795.900 ±.090 ll.E-04 27.e-0'f 1641 ci^oi^ l<-0 ground 112359.228 ±.020 15(-( 8.e-09 1501

l«-0 ground 109782,182 ±.008 77.E-09 2u.t-08 1501

cl3ol6 l'<-0 ground 110201.370 ±,002 '»2.E-08 ll.E-07 1501 ^13^18 1-0 ground 104711,416 ±.008 78.E-11 21.E-10 1501
Is otopic

Species

Rotation

j'<-j"

Vibration

V

t t F ^^1 p"

VMc/ sec

Intensity cm~^

300° 195° Ref

l-<-0 ground 105871.110 +.004 35.E-&6 53.6-06 1722 ClBr Chlorine monobromlde (see Bromine monochloride) CIF Chlorine monofluoride (see Fluorine chloride)

Oil Chlorine monoiodide (see Iodine monochloride)

CsBr Cesium bromide

Molecular

Isotope

Av/p

Mc/mm Debye

Be Mc/ sec

0) cm

' ^01 Mc/ sec

"^e Mc/sec^e kc/sec

I^e kc/sec , h

lO-^Ogcm^ Csl33Br^9 9.974 p 1081.343m [194] 1081.3392 3.7175 3.1 0.27 467.5039

Cs133b^81 1064.585y fl94J 1064.5853 3.6313 3.1 References 08 58 08 58 9900 0858 0858 0858 0858 08 58

0699 0699 0699 0699 0699 0699

Molecular

Isotope

Rotation

J ^J

Vibration

V

f 1 F f"

VMc/ sec

Intensity cm

^

300° 195° Ref Csl^V^ 10^9 ground 21588.57 ±0.10 66.E-05 22.6-04 0858

1 21514,48 ±0.20 26.6-05 51.6-05 08 58

2 21440.65 ±0.20 10.6-05 12.6-05 08 58

3 21366.36 ±0.20 40.6-06 29.6-06 0858

4 21292.40 ±0.20 16.6-06 69.6-07 08 58

5 21218.66 ±0.20 61.E-07 16.6-07 0858

ll'f-lO ground 23747.17 +0.10 72 (-05) 25 (-04) 0858

1 23665.60 ±0.20 34.E-05 68.6-05 0858

2 23583.87 +0.20 13.E-05 16.6-05 0858

3 23502.95 ±0.20 53.E-06 36.6-06 08 58

5 23340.26 ±0.20 81.6-07 22.6-07 08 58

6 23259.19 ±0.20 32.6-07 51.6-08 08 58

7
Isotopic

Molecular

Species

Rotation

» n J «-J

Vibration

V

t *11 F

n *i11 F

VMc/ secIntensity cm"''' 300° 195°

Ke I

11-^10 7 23178.25 +0.20 12.E-07 l2.t-08 0858

8 23097.97 ±0.20 <»9.E-08 29.E-09 08 58

12«-11 1 25816.53 ±0.20 44.E-05 88.E-05 0858

2 25648.95 ±0.20 17.E-05 21.E-05 0858

3 25550.22 ±0.20 58-E-06 49.fc-06 0858

1&1-9 ground 21254.44 ±0.10 62.E-05 20.t-04 08 58

ll't-lO ground 23379.53 ±0.10 82.E-05 27.E-04 0858

1 23299.79 ±0.20 32.E-05 64.E-05 0858

2 23220.22 ±0.20 13.E-05 15.E-05 0858

3 23140.61 ±0.20 49.E-06 36.E-06 08 58

4 23061.38 ±0.20 19.E-06 85.E-07 0858

1'2*-11 ground 25504.69 ±0.10 ll.E-04 35.E-04 08 58

CsCl Cesium chloride 2 90i,Z J! (£>--(£!)

Isotopic

Molecular

Species

Av/p

Mc/mm

V- Debye

Be Mc/ sec cm~^

^01 Mc/sec

<^e Mc/sec

Ye kc/sec

I 10-40gc„2

1 eqQ |Mc/sec

(Cs) (CI)

Addnl. Micro.

Refs. Csl33ci35 10.40 m 2161.208m 240 2161.195 10.085 7.1 233.9118 <4 <3 0621 Csl33ci37 2068. 761y 2068.761 9.46 0437 References 0858 0858 0858 0858 08 58 0858 0858 0858

Isotopic

Molecular

Species

Rotat ion Vibration

V

1 ^11 F f"

VMc/ sec

Intensity cm

'''

300° 195° Ref

Csl33ci35 6*-5 ground 25873.11 ±.10 21.E-04 67.E-04 0699

8
Isotopic

Molecular

Spec ie s

Rotation

1 11 J -J

Vibrat ion

V

1 1^1

1 F

n f"

VMc/ sec

—1 Intensity cm

ouu ly

D

Ref

Cs^^^Cl^^ 1 0699

2 ORfiQi ZOOoXaOORft +x.zuon Z1«C vl> L7*C UI7 0699

o

o Z OOll . zO z

.

DHbCp — nAUO "^v 3Z«CUD P — nA 0699 ORQQn 4- A r\ Z Ooy U . OD i • 4U P— o^i S4 P—n7 0699

5

9ZOZlUsU "^97 n n +XaOR 63.E-07 91.6-08

g ZOi.OU.1 X«D 20«fc — 07 15.t:-08 uoy y

7 25031.0 ±.6 62.E-08 26.E-09 0699

8 z4y 1 1, z ± .

D

ici p_f\fi i^_-in 0699

„ 133„,37 6+-5 gfound 9/17R7 Sfi + in eg P — ns IQ 1—04 uoy y

1

0>lC:C;y| QC J- Q(-V z4dD4 , OD Z . oU 10 P — n^ P — n't 0699

2 9AR/n ^^0'± J. • An +z • o

u

Ai p— nA P— nA uoy y

4 24337.9* ±1.5 63.E-07 18.t-07 0621 Footnote -"-This line is apparently 30 Mc/sec too high, but was not remeasured as were all the other

lines for this isotope. [o621, 0699]

CsF Cesium fluoride Z.ZtSjK

Isotopic

Molecular

Species

Av/p

Mc/mm

M- Debye

B. Mc/ sec cm

eqQ(Cs)

Mc/sec

<^e Mc/ sec

C(Cs)^

kc/sec

C(F)2

kc/sec

Additional

Microwave

References

Cgl33pl9 7.875 m 5527.34 m 270 +1.240 33.13 0 H6 0080, 0487, 0804 References 1244 0858 9900 08 58 0858 1730 1730 0252, 0699, 1244

Footnotes: 1. For strong field, C(Cs) = -.6 ± 1 and for weak field C = ^.5 ±1.

2. For strong field, C(F) = -H8 ± 2 and for weak field C = 14 + 3.

Isotopic

Molecular

Species

Rotation

I n J «-J

Vibrat ion V

1 t F

\\ ^1

n F

VMc/ sec

Intensity cm

300° 195° Ref

C3l33pl9 2«-l ground 22038.51 +.20 U.E-O't 33.t-04 08 58

1 21898.21 ±.40 28.e-05 44.E-05 0858

9
Isotopic

Molecular

Species

Rotation

J «-J

Vibrat ion V

t t F ^1 f"

VMc/ secIntensity cm"''^ 300° 195° Ref

C3l33j,19 2*-l 2 21757.58 ±.60 77.6-06 60.fc-06 0858

3 21617.09 ±.60 21.6-06 81.E-07 08 58

4 21477.5 ±1.0 56.6-07 11.6-07 0858

Csl Cesium iodide -7 t 3.SI50 A

Isotopic

Molecular

Species

Av/p

Mc/nun

p. Debye

Be

Mc/ sec -1 cm

^01 Mc/ sec Mc/ sec

Ye kc/ sec kc/ sec

I

e i„-4 0 2 10 gem ^^133^127 12. 1 m 708.3579m 142 708.3568 2.0441 1.45 0. 152 713.6686 References 0858 0858 9900 0858 0858 0858 08 58 0858

Isotopic

Molecular

Species

Rotation

J ^J

Vibrat ion V

1 1 F ^1 f"

VMc/ sec

Intensity cm

"''

300° 195° Ref

C3l33jl27 16<-15 ground 22632.26 ±0.10 la.E-O'i 61.6-0'f 0858

1 22567.02 ±0.10 90.6-05 21.6-04 0858

17<-16 ground 24046.40 ±0,10 21.E-0't 73.6-0'( 08 58

1 23976.96 ±0.10 11. £-04 25.6-04 08 58

2 23907.70 ±0.10 54.E-05 88.6-05 08 58

3 23838'. 47 ±0.10- 27.6-05 31.6-05 08 58

181-17 ground 25460.53 ±0.10 25. £-04 86.6-04 0858

1 25387.04 ±0.10 13.E-04 30.E-04 08 58

2 25313.66 ±0.10 64.E-05 10.6-04 0858

10
FBr Fluorine monobromide (see Bromine monof luoride

)

FCl Fluorine chloride l.(,Z8l A

Isotopic

Molecular

Species

Av/p

Mc/mm Debye

Be Mc/ sec

u

e cm

eqQ(Cl)

Mc/sec

C (CI) kc/ sec

a Mc/ sec 10-40gcm2

D

e kc/sec

Addnl. Micro

.

Refs,

pl9ci35 0.881 m 15483.69m 793 -145.837 +22±3 130.666 54.1822 26.3 0284 f19,,37 15189.22m -114.977 + 18±3 126.957 55.2326 25.3 References 0190 0190 9900 1731 1731 0190 0190 0190

Isotopic

Molecular

Species

Rotation

1 ti J "-J

Vibration

V

1 ^11 F F

VMc/ sec

Intensity cm

"''

300° 195° Ref

pl9pj^35

l*-0 ground 3/2

5/2

1/2

3/2

3/2

3/2

30807.366 ±0.003 30843.875 ±0.004 30872.963 ±0.004

12.6-06 33-fc-06 18.E-06 44.6-06

61.6-07 l7.t-06

1731

1 3/2

5/2

1/2

3/2

3/2

3/2

30545.994 ±0.069 30582.614 ±0.069 30611.761 ±0.069

27.6-08 93.6-09

40.6-08 l4.fc-08 13.6-08 47.6-09

0190

pl9ci37 l*-0 ground 3/2

5/2

1/2

3/2

3/2

3/2

30228.344 ±0.004 30257.135 ±0.003 30280.056 ±0.003

38.6-07 10.6-06 57.6-07 15.6-06

19.6-07 51.6-07

1731

1 3/2

5/2

1/2

3/2

3/2

3/2

29974.470 ±0.069 30003.218 ±0.069 30026.195 ±0.069

86.6-09 30.6-09

13.6-08 45.6-09

43.6-09 15.E-09

0190

GaBr Gallium monobromide 2 35" 2 5" A (£>'—-©

Isotopic

Molecular

Species

Av/p

Mc/mm

M- Debye

Be Mc/ sec

-1 cm

eqQ(Br)

Mc/sec

eqQ(Ga)

Mc/sec

^^e Mc/sec kc/ sec

Additional

Microwave

References

Ga^^Br^^ 2481.99 m +134±3 -74 ±5 9.74 1192

11
Iso t op ic Molecular

Spec ies

Av/p

Mc/inm Debye

Be Mc/ sec

"e

cm Mc/sec Mc/ sec

^e Mc/ sec

"e kc/ sec

Addit ional

Microwave

References

r,69„ 81 Ga Br 263 0 . 74 1 Q *1 1 Ga^V^^ 2444.65 m 9.74 Ga'^V^^ 2416.10 m References 1425 9901 1425 1425 1425 1425 Footnote; For validity of computed intensities see introductory remarks on hyperfine splitting.

Isotoplc

Molecular

Species

Rotation

1 'I J •i-J

Vibration

V

1 F ^1 f"

VMc/ sec

Intensity cm

300° 195° Ref

69 79 Ga°^Br'^ 5<-4 ground 7/2 5 5/2 4 24768.02 ±0.20 41.e-08Rl3.E-07 1425

7/2 2 5/2 1 24771.22 ±0.20 15.t-08R«i7.e-08

7/2 3 5/2 2 24771.22 ±0.20 21.E-08R67.b-08

7/2 4 5/2 3 24771.22 ±0.20 30.E-08R95.fc-08 9/2 3 7/2 2 24771.22 ±0.20 23.E-08R73.t-08

9/2 4 7/2 3 24771.22 ±0.20 30-E-08R94.E-06

9/2 5 7/2 4 24771.22 ±0.20 3e.E-08R12.E-07

9/2 6 7/2 5 24771.22 ±0.20 49.E-08R15.E-07

11/2 4 9/2 3 24771.22 ±0.20 33.E-08R10.E-07

11/2 5 9/2 4 24771.22 ±0.20 40.E-08R12.E-07

11/2 6 9/2 5 24771.22 ±0.20 A8.E-08R15.E-07

11/2 7 9/2 6 24771.22 ±0.20 58-E-08R18.E-07

13/2 5 11/2 4 24771.22 ±0.20 43.E-08R13.E-07

13/2 6 11/2 5 24771.22 ±0.20 51.E-08R16.E-07

13/2 7 11/2 6 24771.22 ±0.20 5S.E-08R19.E-07

13/2 8 11/2 7 24771.22 ±0.20

total intensity

70.E-08R22.E-07 61.E-07R19.E-06

7/2 5 7/2 5 24796.70 ±0.30 34.E-09Rll.t-08

7/2 2 7/2 2 24802.17 ±0.30 l'..E-09R't5.E-09

7/2 3 7/2 3 24802.17 ±0.30

total intensity

l8.t-09R56.t-09 32.E-09RIO.E-08

12
Isotopic Molecular

Species

Rotation

jVj"

Vibration

V

111 F

1 f"

VMc/ sec

Intensity cm~^

300° 195° Ref

5-4 1 7/2 2 5/2 1 24673.55 ±0.20 ^2.E-09R66.e-09 1425

7/2 3 5/2 2 24673.55 ±0.20 60.e-09R95.E-09

7/2 4 5/2 3 24673.55 ±0.20 84.E-09Rl3.e-08

9/2 3 7/2 2 24673.55 ±0.20 65.E-09R10.E-08

9/2 4 7/2 3 24673.55 ±0.20 84.E-09R13-E-0B

9/2 5 7/2 4 24673.55 ±0.20 ll.£-08Rl7.e-08

9/2 6 7/2 5 24673.55 ±0.20 14.E-08R2l.E-08

li/2 4 9/2 3 24673.55 ±0.20 91.E-Qr9Rl4.E-08

11/

2

5 9/2 4 24673.55 ±0.20 1 l.fc-08R17.E-08 U /2 6 9/2 5 24673.55 ±0.20 13.e-08R21.E-08

11/2 7 9/2 6 24673.55 +0.20 l6.E-08R26.t-08

13/2 5 11/2 4 24673.55 ±0.20 12-E-08R19.E-08

13/2 6 11/2 5 24673.55 ±0.20 l4.E-08R22-e-08

13/2 7 11/2 6 24673.55 ±0.20 l7.E-08R26.E-08

13/2 8 11/2 7 24673.55 ±0.20

total intensity

19.E-08R31.e-08

17.E-07R27.E-07

2 7/2 2 5/2 1 24576.08 ±0.20 12.E-09R93.E-10 142 5

7/2 3 5/2 2 24576.08 ±0.20 17.e-09R13.E-09 7/2 4 5/2 3 24576.08 ±0.20 23.E-09R19.E-09

9/2 3 7/2 2 24576.08 ±0.20 18.E-09R15.E-09

9/2 4 7/2 3 24576.08 ±0.20 23.E-09R19.E-09

9/2 5 7/2 4 24576.08 ±0.20 30.E-09R24.E-09

9/2 6 7/2 5 24576.08 ±0.20 38.E-09R30.E-09

11/2 4 9/2 3 24576.08 ±0.20 25.E-09R20.E-09

11/2 5 9/2 4 24576.08 ±0.20 31.E-09R25.E-09

11/2 6 9/2 5 24576.08 ±0.20 37.E-09R30.E-09

11/2 7 9/2 6 24576.08 ±0.20 45.E-09R36.E-09

13/2 5 11/2 4 24576.08 ±0.20 33.E-09R27.E-09

13
Isotopic Molecular

Species

Rotation

1 M J t-J

Vibration

V

t ^11 F ^1 F

VMc/sec

Intensity cm~^ 300° 195° Ref

5*-4 2 13/2 6 11/2 5 24576.08 ±0.20 39.e-09R3l-E-09 1425

13/2 7 11/2 6 24576.08 ±0.20

13/2 8 11/2 7 24576.08 ±0.20

total intensity

54.e-09R43.E-09

47.6 -08R38.e-08 Ga^^Br^l ground 7/2 5 5/2 4 24483.58 ±0.20 39.E-08R12.E-07 1425

7/2 2 5/2 1 24486,56 ±0.20 14.E-08R44-E-08

7/2 3 5/2 2 24486.56 ±0.20 20.E-08R64.e-08

7/2 4 5/2 3 24486.56 ±0.20 28.t-08R89.E-08

9/2 3 7/2 2 24486.56 ±0.20 22.e-08R69.E-08

9/2 4 7/2 3 24486.56 ±0.20 28.t-08R89.E-08

9/2 5 7/2 4 24486.56 ±0.20 36.E-08Rll-£-07

9/2 6 7/2 5 24486.56 ±0.20 46.t-08R14.t-07

11/2 4 9/2 3 24486.56 ±0.20 31.E-08R96.E-08

11/2 5 9/2 4 24486.56 ±0.20 37.e-08R12.E-07

11/2 6 9/2 5 24486.56 ±0.20 45.E-08R14.t-07

11/2 7 9/2 6 24486.56 ±0.20 55.f-08Rl7.E-07

13/2 5 11/2 4 24486.56 ±0.20 41.E-08Rl3.t-07

13/2 6 11/2 5 24486.56 ±0.20 48.E-08R15.E-07

13/2 7 11/2 6 24486.56 ±0.20 56.E-08R18.E-07

13/2 8 11/2 7 24486.56 ±0.20

total intensity

66.e-08R21.E-07

57.e-07RlB.E-06

1 7/2 2 5/2 1 24390.37 ±0.20 40.e-09R63.E-09 1425

7/2 3 5/2 2 24390.37 ±0.20 57.e-09R90.E-09

7/2 4 5/2 3 24390.37 ±0.20 80.E-09R13.E-08

9/2 3 7/2 2 24390.37 ±0.20 62.E-09R99.E-09

9/2 4 7/2 3 24390.37 ±0.20 80.E-09R13.E-08

9/2 5 7/2 4 24390.37 ±0.20 10.E-08R16.E-08

9/2 6 7/2 5 24390.37 ±0.20 l3.e-08R20.t-0e

14
Isotopic Molecular

Spec ies

Rotation

J t-J

Vibrat ion V

1 1 F

11

•'l f"

VMc/ sec

Intensity cm~^ 300° 195° Ref

Ga^^Br ^

5*-4 1 11/2 4 9/2 3 24390.37 ±0.20 e6.e-09Rl4.t-08 1425

11/2 5 9/2 4 24390.37 ±0.20 10.E-08K17.E-08

11/2 6 9/2 5 24390.37 ±0.20 l3.k-08R20.E-08

11/2 7 9/2 6 24390.37 ±0.20 15.e-08ft2'i.t-08 13/2 5 11/2 4 24390.37 ±0.20 ll.t-08R18.E-08

13/2 6 11/2 5 24390.37 ±0.20 13.E-08R21.E-08

13/2 7 11/2 6 24390.37 ±0.20 16.E-08R25.E-08

13/2 8 11/2 7 24390,37 ±0.20

total intensity

l8.E-08R29.e-08 16.e-07R26.E-07

2 7/2 2 5/2 1 24294.26 ±0.20 11.E-09R90.E-10 1425

7/2 3 5/2 2 24294.26 ±0.20 l6.E-09R13.E-09

7/2 4 5/2 3 24294.26 ±0.20 22.E-09R18.E-09

9/2 3 7/2 2 24294.26 ±0.20 17.E-09R14.E-09

9/2 4 7/2 3 24294.26 ±0.20 22.E-09R18.E-09

9/2 5 7/2 4 24294.26 ±0.20 29.E-09R23.E-09

9/2 6 7/2 5 24294.26 ±0.20 36.E-09R29.E-09

11/2 4 9/2 3 24294.26 ±0.20 2'».E-09R20.E-09

11/2 5 9/2 4 24294.26 ±0.20 29-E-09R24.E-09

11/2 6 9/2 5 24294.26 ±0.20 36.E-09R29.E-09

11/2 7 9/2 6 24294.26 ±0.20 't3.E-09R35.E-09

13/2 5 11/2 4 24294.26 ±0.20 32.E-09R26.E-09

13/2 6 11/2 5 24294.26 ±0.20 38.E-09R30-E-09

13/2 7 11/2 6 24294.26 ±0.20 '.'..E-09R36.E-09

13/2 8 11/2 7 24294.26 ±0.20

total intensity

52.E-09R42.E-09

'»5.F.-08R37.E-08

&«-4 ground 7/2 2 5/2 1 24399.00 ±0.20 95.E-09R30.E-08 1425

7/2 3 5/2 2 24399.00 ±0.20 14.E-08R42-E-08

7/2 4 5/2 3 24399.00 ±0.20 19.E-08R60.E-08

15
Isotopic Mo 1 e c u la 1" Spec ies

Rotat ion

1 t> J «-J

Vibration

V

1 t F ^1 F

VMc/ secIntensity cm""'" 300° 195° Ref

5''-4 ground 9/2 3 7/2 2 24399.00 ±0.20 l5.E-08R46.E-08 1425

9/2 4 7/2 3 24399.00 ±0.20 19. E-08R59.E-08

9/2 5 7/2 4 24399.00 ±0.20 2't.E-08R76.E-08

9/2 6 7/2 5 24399.00 ±0.20 31.e-08K96.E-08

11/2 4 9/2 3 24399.00 ±0.20 20.E-08R6'i.E-08 11/2 5 9/2 4 24399.00 ±0.20 25.E-08R78.E-0B

11/2 6 9/2 5 24399.00 ±0.20 30.E-08R95.E-08

11/2 7 9/2 6 24399.00 ±0.20 37-E-08RI l.E-07

13/2 5 11/2 4 24399.00 ±0.20 27.E-08R85.E-08

13/2 6 11/2 5 24399.00 ±0.20 32.E-08R00.E-08

13/2 7 11/2 6 24399.00 ±0.20 37.E-08Rl2.E-07

13/2 8 11/2 7 24399.00 ±0.20

total intensity

't''.E-08Rl4.E-07 38.E-07R12.E-06 Ga^^Sl 5<-4 ground 7/2 2 5/2 1 24114,08 ±0.20 89.E-09R28.E-08 1425

7/2 3 5/2 2 24114,08 ±0.20 13.E-08R'f0.E-08

7/2 4 5/2 3 24114.08 ±0.20 l8.E-08R56.E-08

9/2 3 7/2 2 24114.08 ±0.20 l't.E-08R44.E-08

9/2 4 7/2 3 24114.08 ±0.20 18.E-08R56.E-08

9/2 5 7/2 4 24114.08 ±0.20 23-E-08R72.E-08

9/2 6 7/2 5 24114.08 ±0.20 29.E-08R9l.E-08

11/2 4 9/2 3 24114.08 ±0.20 19.E-08R61 .£-08

11/2 5 9/2 4 24114.08 ±0.20 23.E-08R7't.E-08

11/2 6 9/2 5 24114.08 ±0.20 29.E-08R90.E-08

11/2 7 9/2 6 24114.08 ±0,20 3'..E-08Rll.E-07

13/2 5 11/2 4 24114.08 ±0,20 26.E-08R80.e-08

13/2 6 11/2 5 24114,08 ±0.20 3C.E-08R94.e-08

13/2 7 11/2 6 24114.08 ±0.20 35. E-08R1 l.E-07

13/2 8 ll/2 7 24114.08 ±0.20

total intensity

41.E-08R13.E-07

36.E-07R11.E-06

16
GaCl Gallium monochloride 2.2017 A (£)-—-

®

Isotopic

Molecular

Species

Av/p

Mc/mm

M- Debye

Be Mc/sec

"e cm

^

eQq(Ga)

Mc/sec

eQq(Cl)

Mc/ sec

"e Mc/ sec kc/sec

Additional

Microwave References

Ga69ci35 4493.73 m 365 -84.7 -20+2 23.27 2.59 1192, 1106

Ga69ci3^

Ga^^Cl^S

Ga'^lci^^ References 1425 9901 1425 1425 1425 1425 Footnote; For validity of computed intensities see introductory remarks on hyperfine splitting

Isotopic

Molecular

Species

Rotat ion

j'-^-j"

Vibration

V

1 F,

1

1 F f"

1 f"

VMc/ sec

Intensity cm"''' 300° 195° Ref

Ga69ci35 2-<-l ground 3/2 3 1/2 2 17906 92 ±0. 20 17 E -08R51 .e--08 142 5

3/2 2 1/2 2 17906 92 ±0 20 61 E -09Rlti .E--08

3/2 2 1/2 1 17906 92 ±0 20 61 E -09R16 • t--08

3/2 1 1/2 1 17906 92 ±0 20 61 E--09R18 .E--08

5/2 4 5/2 4 17906 92 ±0 20 I'. E- .E--08

5/2 4 5/2 3 17906 92 ±0 20 17 E -09R51 .E--09

5/2 3 5/2 4 17906 92 ±0 20 17 E--09R51 .t--09

5/2 3 5/2 3 17906 92 +0 20 85 E -09R25 .E--08

5/2 3 5/2 2 17906 92 ±0 20 22 E--09R64 ,E--09

5/2 2 5/2 3 17906 92 ±0 20 22 E--09R64 .E--09

5/2 2 5/2 2 17906 92 +0 20 51 E--OyR15 .£--08

5/2 2 5/2 1 17906 ,92 ±0 20 16. E--09R't7 .£--09

5/2 1 5/2 2 17906 .92 ±0 20 16 E--09R47 .E--09

total intensity 7A. E--C8R22 £--07

1/2 2 1/2 2 17928 .55 ±0 20 12 e--08R37 £--08

1/2 2 1/2 1 17928 55 ±0 20 12. E--08R37 £--08

1/2 1 1/2 2 17928 .55 ±0 20 12. E--08R37 £--08

17
Isotopic Molecular

Species

Rotat ion

t ti J <-J

Vibrat ion V

f F

t F

1? F•^1

IT F

VMc/ secIntensity cm""'" 300° 195°

K.fz 1

Ga69ci35 2<-l ground 1/2 1 1/2 1 17928.55 ±0.20 25.e-09R73.E-09 1425 7/2 4 5/2 4 17928.55 ±0.20 57.E-09R17.E-08

5/2 3 3/2 2 17928.55 ±0.20 23.e-08R69.E-08

5/2 2 3/2 2 17928.55 ±0.20

tot?l intensity

72.e-09R2l.E-08 75.e-08R22.E-07

7/2 5 5/2 4 17930.57 ±0.20 65.E-08R19.E-07

7/2 4 5/2 3 17930.57 ±0.20 47.E-08R14.E-07

7/2 3 5/2 3 17930.57 ±0.20 74.E-09R22.E-08

7/2 3 5/2 2 17930.57 ±0.20 3<..E-08R10.E-07 7/2 2 5/2 2 17930.57 ±0.20 56.E-09R17.E-08

7/2 2 5/2 1 17930.57 ±0.20 24.E-08R70.E-08

5/2 4 3/2 3 17930.57 ±0.20 37.E-08Rll.E-07

5/2 3 3/2 3 17930,57 ±0.20 58.E-09R17.E-08

5/2 2 3/2 1 17930.57 ±0.20 13.E-08R39.E-08

5/2 1 3/2 1 17930.57 ±0.20 56.E-09Rl7.E-08

5/2 1 3/2 0 17930.57 ±0.20

total intensity

62.E-09R18.E-0B

25.E-07R74.E-07

3/2 3 3/2 2 17942.92 ±0.40 44.E-09Rl3.E-08 3/2 2 3/2 2 17942.92 ±0.40 63.E-09R19.E-08 3/2 1 3/2 2 17942.92 ±0.40

total intensity

50.e-09Rl5.E-08

16.E-08R47.e-08 3/2 3 3/2 3 17946.83 ±0.30 18.E-08R53.E-08 3/2 2 3/2 3 17946.83 ±0.30 44.E-09R13.E-08 3/2 2 3/2 1 17946.83 ±0.30 50.E-09Rl5.E-08 3/2 1 3/2 1 17946.83 ±0.30 13.E-09R38.e-09 3/2 1 3/2 0 17946.83 ±0.30 32.e-09R94.e-09

3/2 0 3/2 1 17946.83 ±0.30

total intensity

32.E-09R94.E-09

35.E-08Rl0.e-07

18
Isotopic Molecular

Species

Rotation

jVj"

Vibrat ion

V

111 F

It1It F

VMc/ sec

Intensity cm~^

300° 195° Ref

2-1 1 7/2 5 5/2 4 17837.00 ±0.50 H.E-08Rl3.e-08 1425

7/2 4 5/2 3 17837.00 ±0.50 82.E-09R9'i.fc-09

7/2 3 5/2 3 17837.00 ±0.50 13.E-09R15.E-09

7/2 3 5/2 2 17837.00 ±0.50 58.t-09R67.E-09

7/2 2 5/2 2 17837.00 ±0.50 97.E-lORll.E-09

7/2 2 5/2 1 17837.00 ±0.50 'il.t-09R47.e-09

5/2 4 3/2 3 17837.00 ±0.50 64.e-09R7<..E-09

5/2 3 3/2 3 17837.00 ±0.50 99.t-lORl2.E-09

5/2 2 3/2 1 17837.00 ±0.50 22.E-09R26.E-09

5/2 1 3/2 1 17837.00 ±0.50 96.E-10Rll.t-09

5/2 1 3/2 0 17837.00 ±0.50

total intensity

U .e-09R12.t-09

'.3.t-08R50.t-08

2 7/2 5 5/2 4 17743.96 ±0.50 19.E-09R87.E-10 1425

7/2 4 5/2 3 17743.96 ±0.50 14.E-09R63.E-10

7/2 3 5/2 3 17743.96 ±0.50 22.E-lOR98.E-ll

7/2 3 5/2 2 17743.96 ±0.50 OO.t-10R45.E-10

7/2 2 5/2 2 17743.96 ±0.50 17.E-10R75.E-Il

7/2 2 5/2 1 17743.96 ±0.50 70.E-10R31.E-10

5/2 4 3/2 3 17743.96 ±0.50 ll.E-09R50.E-10

5/2 3 3/2 3 17743.96 ±0.50 l7.E-10R77.t-ll

5/2 2 3/2 1 17743.96 ±0.50 38.E-10R17.t-10

5/2 1 3/2 1 17743.96 ±0.50 16.E-lOR74.E-ll

5/2 1 3/2 0 17743.96 ±0.50

total intensity

18.E-10R83.E-1

1

74.t-09R33.E-09

3 7/2 5 5/2 4 17650.97 ±0.50 33.E-10R56.E-1

1

1425

7/2 4 5/2 3 17650.97 ±0.50 24.E-l0R42.t-ll

7/2 3 5/2 3 17650.97 ±0.50 37.e-llR66.E-12

7/2 . 3 5/2 2 17650.97 ±0.50 17.E-10R30.E-11

19
Isotopic Molecular

Species

Rotation

jVj"

Vibration

V

t F,

1

1 F f"

1 f"

VMc/ secIntensity cm"''' 300° 195° Ref

Ga69ci35 2-1 3 7/2 2 5/2 2 17650.97 ±0.50 29.E-11R50.E-12 142 5 7/2 2 5/2 1 17650.97 +0.50 12.E-10R21.E-11

5/2 4 3/2 3 17650.97 ±0.50 l9.E-10R33.e-l

5/2 3 3/2 3 17650.97 ±0.50 29.E-11R52.E-12

5/2 2 3/2 1 17650.97 ±0.50 66.E-llR12.E-li

5/2 1 3/2 1 17650.97 ±0.50 28.E-11R50.E-12

5/2 1 3/2 0 17650.97 ±0.50

total intensity

31.E-11R55.E-12

13.E-09R22.E-10

2-1 ground 7/2 5 5/2 4 17289.15 ±0.50' 20.E-08R58.E-0e 1425

7/2 4 5/2 3 17289.15 ±0.50 l'.4E-08R43.E-08

7/2 3 5/2 3 17289.15 ±0.50 22.E-09K66.E-09 7/2 3 5/2 2 17289.15 ±0.50 10.E-08R30.E-08

7/2 2 5/2 2 17289.15 ±0.50 17.E-09R51.e-09 7/2 2 5/2 1 17289.15 ±0.50 71.E-09R21.E-08

5/2 4 3/2 3 17289.15 ±0.50 1I.E-08R33.E-0B

5/2 3 3/2 3 17289.15 +0.50 l7.E-09R52.E-09

5/2 2 3/2 1 17289.15 ±0.50 39.E-09R12.E-08

5/2 1 3/2 1 17289.15 ±0.50 l7.E-09R50.e-09

5/2 1 3/2 0 17289.15 ±0.50

total intensity

19.E-09R56.E-09 76.E-08R23.E-07 Ga^^Cl^^ 2-1 ground 7/2 5 5/2 4 17759.09 ±0.50 42.E-a8R13-E-07 1425

7/2 4 5/2 3 17759.09 ±0.50 31.E-08R91.E-08

7/2 3 5/2 3 17759.09 ±0.50 'f8.E-09Rl'(.E-08

7/2 3 5/2 2 17759.09 ±0.50 22. E-08R65.E-08

7/2 2 5/2 2 17759.09 ±0.50 36.E-09R11 .E-08

7/2 2 5/2 1 177 59.09 ±0.50 15.E-08R45.E-08

5/2 4 3/2 3 17759.09 +0.50 2^.E-08R72.E-08

5/2 3 3/2 3 17759.09 ±0.50 37.E-09Rll.E-08

20
Isotopic Molecular

Spec ies

Rotation

J Vj"

Vibration

V

11f F f"

1 f"

VMc/ sec

Intensity cm"^ 300° 195° Ref

2<-l ground 5/2 2 3/2 1 17759.09 ±0.50 8'V.E-09R25.b-08 142 5

5/2 1 3/2 1 17759.09 ±0.50 36.E-09RU.E-08

5/2 1 3/2 0 17759.09 ±0.50

total intensity

4O.E-09R12.fc-08 l6.e-07R48.E-07

1 7/2 5 5/2 4 17666.88 ±0.50 73.E-09R85.E-09 1425 7/2 4 5/2 3 17666.88 ±0.50 53.E-09R62.t-09

7/2 3 5/2 3 17666.88 ±0.50 83.E-lOR96.t-lO

7/2 3 5/2 2 17666.88 ±0.50 38.E-09R44.E-09 7/2 2 5/2 2 17666.88 ±0.50 63.E-10R73.E-10 7/2 2 5/2 1 17666.88 ±0.50 27.E-09R3l.t-09 5/2 4 3/2 3 17666.88 ±0.50 42.E-09R49.t-09

5/2 3 3/2 3 17666.88 ±0.50 65.E-10R76.E-10

5/2 2 3/2 1 17666.88 ±0.50 15.E-09R1 7.E-09

5/2 1 3/2 1 17666,88 ±0.50 63.E-10R73.E-10

5/2 1 3/2 0 17666.88 ±0.50

total intensity

7O.E-l0K81.t-l0 28.E-08R33.E-08

2 7/2 5 5/2 4 17573.70 ±0.50 l3.E-09R58.t-10 1425

7/2 4 5/2 3 17573.70 ±0.50 92.e-10R42.e-10

7/2 3 5/2 3 17573.70 ±0.50 14.t-10R65.E-U

7/2 3 5/2 2 17573.70 ±0.50 66.e-10R30.e-lO

7/2 2 5/2 2 17573.70 ±0.50 ll.E-10R50.e-ll 7/2 2 5/2 1 17573.70 ±0.50 46.E-10R2l.E-10

5/2 4 3/2 3 17573.70 ±0.50 72.E-10R33.e-lO

5/2 3 3/2 3 17573.70 ±0.50 ii.e-ioR5i.e-ii

5/2 2 3/2 1 17573.70 ±0.50 25.e-10R12.t-10

5/2 1 3/2 1 17573.70 ±0.50 ii.e-i0R49.e-ii

5/2 1 3/2 0 17573.70 ±0.50

total intensity

12.E-lOR55.e-U

49.E-09R22.e-09

21
Isotopic

Molecular

Species

Rotation

1 It J <-J

Vibration

V

1 ^11 F

It

•"l

„ F

VMc/ sec

Intensity cm

''

300" 195° Ref

2<-l ground 7/2 5 5/2 4 17118,24 ±0.50 l3.E-08R38.E-08 1425 7/2 4 5/2 3 17118,24 ±0.50 93.E-09R28.E-08 7/2 3 5/2 3 17118.24 ±0.50 l't.E-09R'.3.e-09 7/2 3 5/2 2 17118,24 ±0.50 66.E-09R20.E-08

7/2 2 5/2 2 17118.24 ±0.50 H .E-09R33-t-09 7/2 2 5/2 1 17118.24 ±0.50 '>6.e-09Rl«.E-08 5/2 4 3/2 3 17118.24 ±0.50 73.E-09R22.E-08

5/2 3 3/2 3 17118.24 ±0.50 11.E-09R34.E-09

5/2 2 3/2 1 17118.24 ±0,50 25.E-09R76.E-09

5/2 1 3/2 1 17118.24 ±0.50 1 1.E-09R32.E-09

5/2 1 3/2 0 17118.24 ±0.50

total intensity

12.E-09R36,E-09

't9.E-08Rl5.E-07

Gal Gallium monoiodide 2 5 7^/7 ^

Isotopic

Molecular

Species

Av/p

Mc/mm Debye

Be Mc/ sec

"e

cm"'''

eqQ(I)

Mc/ sec

eqQ(Ga)

Mc/ sec

<^e Mc/sec

»e kc/ sec

Additional

Microwave

References

Ga69ll27 1706.86 m 216 -549 -66 5.667 0.47 1192, 1341 Ga^^l" 1675.73 m 5.535 References 1425 9900 1425 1425 1425 1425 Footnote: Intensities for those components of degenerate lines were not computed if they involved

forbidden transitions, in this case, iF, = 3.

22
Isotopic Molecular

Spec ies

Rotation

1 M J **J

Vibration

V

t ^1

1 F ^1

VMc/ sec

—1 Intensity cm 300° 195° Ref

Ga. 1 7+*6 ground 9/2 4 7/2 3 23851,47 ±0.20 23. E-08K76.t-08 142 5 11/2 4 9/

2

3 23851,47 +0,20 2't.e-08R77.£-08 11/2 7 9/

2

6 23851.47 ±0.20 '>3.E-08Rl4.fc-07 13/2 6 11/2 5 23851.47 ±0.20 35.E-08R1 l.e-07

1 Q / 0 ±0/ Z 7 15/2 6 2oo 51 . 47 ±0 , 20 total intensity

2 1. E-1 *R69 . E- 1^ 13.E-07R41.E—07

1 T / 0 8 11/2 7 23853.25 ±0.20

9/ 2 3 7/2 2 23853.25 ±0.20 18. E-08R5y .E-08

9/ 2 5 7/2 4 238 53 . 2 5 ±0.20 30.E-08R97.E-08

9/2 6 7/2 5 23853.25 ±0.20 38.E-08R12.E-07

13/ 2 5 11/2 4 2oo 00 . 2 0 ±0 , 20 total intensity

30.E-08R97.E-08

12.E-07R38.E-07

15/2 6 13/ 2 5 23855,66 ±0.20 37.E-08R12.E-07

15/2 7 13/2 6 23855,66 +0.20 'V2.E-08R14.E-07

15/2 8 13/2 7 23855,66 ±0.20

total intensity

49.t-08Rl6.t-07

13.E-07R4l.E-07

17/2 7 11/2 6 23857.29 ±0.20

15/2 9 13/ 2 8 23857.29 ±0.20 56.E-08K18.E—07

13/2 8 15/2 7 23857.29 ±0.20 19.E-14R60.t-l4

17/2 9 15/2 8 23857.29 ±0.20 57.E— 08R18.E— 07

19/ 2 8 17/2 7 23857.29 +0.20 53.E-08R17.t-07

19/ 2 9 17/2 8 23007.29 ±0.20 P9.t— UoKlV.t— Ul

19/2 10 17/2 9 23857.29 ±0.20 66.E-08R2l.E-07

19/ 2 11 17/ 2 10 total intensity 36.E-07R12.e-06

1 17/2

1 5/ 2

13/2

7

9

8

11/2

1 0 /o

15/2

6

8

7

23778.29 ±0,20

2o(/0,2y xu.zu 23778,29 ±0,20

£U«t— UoKjo.t— Do 66.E-15R12.e-14

1425

23
Isotopic Molecular

Species

Rotat ion

1 ti J •^J

Vibrat ion

V

f ''l

1 F

II II F

VMc/ sec

Intensity cm""'' 300° 195° Ref

g^69jl27 7<-6 1 17/2 9 15/2 8 23778 .29 ±0.20 20.E-08R37.£-08 1425

19/2 8 17/2 7 23778 .29 ±0.20 l9.E-08R34.fc-08

19/2 9 17/2 8 23778 .29 ±0.20 21.E-08R38.E-08

19/2 10 17/2 9 23778 .29 ±0.20 23.E-08R43.e-08

19/2 11 17/2 10 23778.29 ±0.20 26.fc-08R47.E-08 total intensity 13.E-07R24.fc-07

2 17/2 7 11/2 6 .78 ±0.30 1425

15/2 9 13/2 8 23698 .78 ±0.30 69.E-09R73.E-09

13/2 8 15/2 7 23698 78 ±0.30 23.E-15R24.t-15

17/2 9 15/2 8 23698 78 ±0.30 70.E-09R74.e-09

19/2 8 17/2 7 23698 78 ±0.30 65.E-09R69.t-09

19/2 9 17/2 8 23698 78 ±0.30 73.E-09R77.t-09

19/2 10 17/2 9 23698 78 ±0.30 81.E-09R86.t-09

19/2 11 17/2 10 23698 78 ±0.30 90.E-09R95.e-09

total intensity 45.E-08R47.E-08 ground 17/2 7 11/2 6 23421,95 ±0.20 1425

15/2 9 13/2 8 23421.95 ±0.20 35.E-08Rll.E-07

13/2 8 15/2 7 23421 95 ±0.20 12.E-14R38.E-14

17/2 9 15/2 8 23421 95 ±0.20 36.E-08Rl2.E-07

19/2 8 17/2 7 23421 95 ±0.20 34.E-08R11.E-07

19/2 9 17/2 8 23421.95 +0.20 37.E-08R12.E-07

19/2 10 17/2 9 23421. 95 ±0.20 42.E-08R14.E-07

19/2 11 17/2 10 23421. 95 ±0.20 46.E-08R15.E-07

total intensity 23.E-07R75.E-07

1 17/2 7 11/2 6 23344. 45 ±0.30 1425 15/2 9 13/2 8 23344. 45 ±0.30 13.E-08R23.E-08

13/2 8 15/2 7 23344. 45 ±0.30 42.E-15R78.E-15

17/2 9 15/2 8 23344. 45 ±0.30 13.E-08R24.E-08

24
Isotopic Molecular

Species

Rotat ion jVj"

Vibrat ion V

t I FIt F

VMc/ sec

_i Intensity cm

300° 195° Ref

71^127 Ga I 7*-6 1 19/2 8 17/2 7 23344.45 +0.30 77,t— 09R1^.E— 08 1425

19/

2

9 17/ 2 8 23344.45 ±0.30 86. e-09R16.E-08

19/2 10 17/ 2 9 23344.45 ±0.30 95-E-09R18.E-08

19/ 2 1

1

17/ 2 10 23344.45 ±0.30 1 1 . E-08R20. E-08

total intensity 62.e-08RU.E-07

HBr Hydrogen bromide (hydrobromic acid) / c^/i^g- ^

Isotopic

Molecular

Species

Av/p

Mc/mm Debye

Be Mc/ sec

•^e cm

eqQ(Br)

Mc/ sec

gT(J=l) nuclear magnetons

C(Br)

Additional

Microwave References

a

e Mc/ sec H^Br^^ [2650} 0845

{26 50} H^Br^S 0.83 m 128600 m +530.65 +0. 181 0.15 2515 H^Br^^ 0.83 m 128500 m +443.2 9 +0. 184 0.16 2512

H^Br"^^ 86947.2 m +527.6 1390 86868.8 m +442.

1

1389 References

1530

1441 0971

9900 1529

1061

1529 1441 1441 0971

Isotopic

Molecular

Species

Rotation

t M J *-J

Vibration

V

t 1 F f"

VMc/ sec

Intensity cm

^

300° 195° Ref

H^Br'^^ l«-0 ground 1/2

5/2 3/2

3/2

3/2

3/2

254571.661 ±.050 254678.380 ±.050 254810.634 ±.050

31. E-08 82. £-08

g^t.E-OS 25. £-07

63.t-08 16.fc-07

1441

H^Br^l 1+-0 ground 1/2 5/2

3/2

3/2

254437.641 ±.050 254526.984 ±.050

31. E-08 80. E-08 92.E-oe 24.t-071441

25
Isotopic

Molecular

Spec le s

Rotation

1 " J <-J

Vibrat ion

V

1 1 F

It F

VMc/ sec

Intensity cm Ref

l*-0 ground 3/2 3/2 254637.448 ±.050 61.E-08 l6,£-07 1441

H Br 1^0 ground 0/ L

3/2

o/ ^

3/2 172604.60 +.40 19.E-04R50.E-04

11 DV 1^0 U UllU 5/2

3/2

3/2

3/2

172320 <36 + 40 172431.49 ±.40 l9.E-04R49.E-04

1061

HCl Hydrogen chloride (hydrochloric acid)

^ 27/^. A (M>--(a)

Isotopic

Molecular

Spec ies

Av/p

Mc/mm Debye

Be Mc/ sec

"e

-1 cm

eqQ(Cl)

Mc/sec

C(C1)

kc/ sec

a

e Mc/sec

a-1 cm

H^Cl^^ 2990

H^Cl^'''

jj2pj^35 1. 12 m 163340.1m 2090 -67.3 0.03 0. 1123

H^Cl^''' 1.12 ra 1628 59.0m -53. 0 0.00 0. 1118

jj3(,j^35 112032.0m -67.0 1912

H^Cl^''' 111550.6m -53.0 1898 References

1530

1284 09719901 9900

1441

0971

1441

0971

1284

Isotopic

Molecular

Species

Rotation

J •^J

Vibration

V

1 ^1t F

1! f"

VMc/ sec

Intensity cm

^

300° 195° Ref

H^Cl^^ l«-0 ground 3/2 3/2 323282.28 ±.13 35.E-07 91.e-07 1441

5/2 3/2 323299.17 ±.13 52.E-07 14.E-06

1/2 3/2 323312.52 ±.13 17.e-07 46.fc-07

H^Cl^''' l«-0 ground 3/2

5/2

3/2

3/2

322339.09 ±.13 322352.33 ±.13

ll.E-07 29.t-07

17.E-07 44.E-07

1441

26
Isotopic Molecular

Species

Rotat ion

1 II J •^J

Vibration

V

1 ^1

1 F f"

VMc/sec

Intensity cm"''^ 300° 195° Ref

H^Cl^"^ l<-0 ground 1/2 3/2 322362.94 +.13 56. £-08 l5.t-07 1441 H^Cl^^ l*-0 ground 3/2

5/2

1/2

3/2

3/2

3/2

222130.32 ±.4 222147.23 ±,4 222160.50 ±.4

50.E-04R16.L--03

9O.E-O'iR2't.t-03

30.E-0'>R7y.l:-0'i

0971

H^Cl^"^ I'^O ground 3/2

5/2

1/2

3/2

3/2

3/2

221184.82 ±,4 221198.00 ±.4 221208.69 ±.4

29.E-0'>R77.h-0'» 97-e-05R26.t-0'i

0971

HI Hydrogen iodide (hydroiodic acid) , , ^ ?

I. fc 090 A

Isotopic Av/p V- Be "e eqQ(I) C(I) a Molecular

Species Mc/mm Debye Mc/ sec Mc/sec kc/ sec

-1 cm Mc/ sec

-1 cm

jjljl27 195229. Ira 2310 -1831 0.26 0.1715

jj2jl27 0.445 m 98447 ra -1823.3 0.17 1820

jj3jl2 7 65750.88V -1822.6 References 1124 9900 1124 1124 1125

1530 1441 1441 1441 1441 1061 1061

Isotopic

Molecular

Species

Rotat ion

1 n J >-J

Vibration

V

1 ^11 F

It ^1IT F

VMc/ sec

Intensity cm 300° 195° Ref

^ljl27 l-O ground 5/2 5/2 385000.11 ±. 7 83.E-04 22.F-03 1124

7/2 5/2 385385.52 ± 7 ll.E-n3 30.E-03

3/2 5/2 385548.80 ± 7 55.F-04 14.E-03

jj2jl27

l«-0 ground 5/2 7/25/2

5/2

194776.10 ± 195159.554 ±04

04

32.E-08 83.E-08

41.E-08 ll.E-07

1441

27
Isotopic Molecular

Species

Rotation Vibration

V

111 F f"

1 f"

VMc/ sec

Intensity cm

^

300° 195° Ref

jj2jl27

l*-0 ground 3/2 5/2 195322.706 +.04 ll.E-08 28.6-08 1441

jj3jl27 1+-0 ground 5/2

7/2

5/2

5/2

131210.20 ±.25 131592.95 ±.2517. 22.E-04R59.£-0<t1061

28
OH Hydroxyl radical

The electronic ground state of the hydroxyl radical is designated n, i.e., the spin

S is 1/2 and the projection A of the orbital angular momentum on the internuclear axis is equal to unity. For low rotational states, S and A couple vectorially according to Hund's

case (a), giving a projection ffi of the total angular momentum (excluding nuclear spin) equal

to 1/2 or 3/2. However, for high rotational states, S couples according to Hund's case (b)

to the vector sum of A and the orbital angular momentum 0 due to nuclear motion (molecular

rotation)

.

Using Hill and Van Vleck's formula [2: equation 7-12; 5: equation V, 28] for inter

mediate coupling, but neglecting centrifugal distortion, the small interaction constant y between S and N, and a constant term in the energy, one obtains

Z = (2J + De'^t"^^"^ ^/(J + 1/2)^ + w ].

Here, w = — 4)/4, A/B, and A = -137.76 cm"*''" is the interaction constant between

S and A (energy = AS-A). For low values of J and negative A, the upper and lower signs

2 2 apply to the ^1/2 ^""^ ^3/2 states respectively [5: pages 232]; for large J these

signs apply to the sets of states for which J = N-1/2 and J = N+l/2 respectively, where

N is the resultant of the electronic orbital angular momentum and the angular momentum of molecular rotation [5: pages 232-4;2: page 186]. Note: Townes and Schawlow's equations

(7—13) should have absolute value signs about AA , otherwise they are incorrect for

the case for OH. Since the series converges rather rapidly, the state sum was ob- tained by direct summation over the two sets of Z^'s, with J taking on the half integral values from ffi to infinity. An additional factor of two was introduced into Q^, since Adoubling multiplies the number of states by two. (The factor of two does not occur in

Z^, since absorption occurs only from the lower member of a doublet in the A-doubling

spectrum observed for OH.)

Z9
Since V depends only upon the coupling of angular momentum, V for OH (AJ = 0) may be obtained from that f or a symmetric top, namely

^"eff>^

J(J + 1)

[2: equation 3 - 41; 5: equation IV, 81], where ^gj-j- is the effective value of ffi.

^eff ~ ^^1 * ^^2 '

where

= 1/2, ffig = 3/2 ,

5 = (+Z-2 + '^)/2z ,

E = (+Z+2 - >^)/2z , and

z = \/4(J+l/2)^ + '^('^-4)

,

and the upper and lower signs are correlated as before [1141,0982].

Note: Townes and Schawlow's equations (7 — 20) and (2 ~ 16), as well as those in Dousmanis,

Sanders, and Townes's [0982] section 4(e) are in error. Equation [2: 2 - 16] is not identical

with that of a slightly asymmetric top, as may be seen in equation [2: 3 - 41]. Relative to

the statement on page [2:34], the analog of the state J,ij^, does not occur for i = 0.

30
HO Hydroxy1 radical 0. 970<, f.

Isotopic Molecular

Species

Av/p

Mc/mm Debye

Be

-1 cm

-1 cm

A-type doubling parameters

X = Vb Mc/sec Mc/sec

°o

-1 cm

B =rot. const. in^Z state cm~l

Addnl. Micro

.

Refs.

~8.0 m 1.54

* 18.871 3735 -7.444 -2361.37 576.18 0.00187 16.961 0764 10.016 3735 -13.954 -1548.99 161.94 0.00052 9.03 0832

0.00187 16.961

References 0982 1863 9901 9900 0982 0982 0982 1132 0982

9901

Isotopic Molecular

Species

Magnetic hfs constants Mc/sec

a b c d

<l/r3)av

1024cm~3

(fecosx-iyrS)^^ 1024cm-^

^^(0)

1024cm-3

4in2y)/r3)3^

1024cm-3

H^O^^ 48.7±0.5 113.610.6 -25. +5. 57. Oil.

5

0.616±0.006 (-0.21±0.04) (0.184±0.004) (0.490±0.013). H^O^e 8.69±0.16 (0,486±0.009)

H^O^^ References 1693 1693 1693 0982 1693 1693 1693 0982

Isotopic

Molecular

Species

+

J = 3/2 J = 5/2 J = 7/2 J = 3/2 J = 5/2 J = 7/2 J = 3/2 J = 5/2 J = 7/2 H^olS 0.93493 0.48435 0.32454 0.93622 0.48623 0.32668 0.00129 0.00188 0.00214

H^O^e 0.88920 0.88971 0.00051

H^O^S

References 1693 1693 1693

Isotopic a Molecular e Species -1 cm

H^O^^ 0.714

H^O^^ 0.295

H^O^S References 9900

9901

Computed from measured ratios of intensities of OH and HgO lines.

I

31
Isotopic Rotation Vibrat ion Eleot f 1 II V Intensity cm Molecular F ^1 f" Ref

T XT V ro n ic Mc/ sec qnn ^ 1 Q s

^ ouu j.y 0

3/2,2 ground 2 „V2 1 1 7760.36 ±0 15 37.E-07 59.E-07 0982

2 2 7819.92 +0 10 C5f»tl— VJf ll«t UO

5/2,3 ground 2 "1/2 2 2 8135. 51 ±0 15 22.E-07 28.E-07 0982

3 3 8188.94 +0 10 33.E-07 41»E-07

7/2,3 ground 2 "3/2 3 3 13434.62 ±0 05 42.E-06 67.E-06 0982 13441.36 ±0 05 ^>n«F— n^^ Q'^ p— fiA

9/ 2 ,

ground "3/2 4 5 23806.5 +0 tr0 09 8 2

4 4 23818 . 18 ±0 05

5 5 23826.90 ±0 05 6S,E-06 6S.E-06

23837.8 ±0 3 12-F-07 12»E-07j

11/2,5 ground 2n

"3/2 5 5 36983.47 ±0 15 40,E-06 25.E-06 0982

0 D 36994.43 ±0 1 c ± 0 H 0 5/2,3 ground 2nV2 3/ 2 3/ 2 8110.20 ±0 10 1 1 F— 1 1 17 F— 1

0982

5/2 5/2 8117.69 ±0 10 15.E-11 24.E-li

7/ 2 (/I 8127.64 ±0 X 0 23.E-11 37.E-11

7/2,4 ground 2n

"1/2 5/ 2 0/ 2 9578.51 ±0 15 lO.E-11 14.E-11 09 8 2 7/9 '/ 2 7/9 9586.03 ±0 10

9/2 9/2 9595.26 ±0 10 18.E-11 24.E-11

32
Isotopic Molecular

Species

Rotation

J,N

Vibration

V

Elect ronic

1 "^1

1 F f"

VMc/ secIntensity cm

^

300° 195° Rel

9/2,5 ground '"1/2 7/2

9/2

11/2

7/2

9/2

11/2

10191.64 ±0.10

10199.10 ±0.10

10208.14 ±0.10

70.E-12 74.F-12

85.E-12 90.E-12 ii.F-n n.F-n

0982

11/2,6 ground 9/2

11/2

13/2

9/2

11/2

13/2

9914.39 ±0.10

9921.53 ±0.10

9929.88 ±0.10

37.E-12 28.E-12 43.E-12 33.E-12

52.E-12 40.E-12

0982

11/2,5 ground "3/2 9/2

11/2

13/2

9/2

11/2 13/2

8672.36 ±0.10

8672.36 ±0.10 8672.36 ±0.10

total intensity

41.E-11 52.E-11 48.E-11 61.E-11

58.E-11 74.E-n

15.E-10 19.E-10

0982

13/2,6 ground "3/2 11/2

13/2

15/2

11/2

13/2

15/2

12918.01 ±0.10

12918.01 ±0.10

12918.01 ±0.10

total intensity

A3.E-11 39.E-n

49.E-11 44.E-11 52.E-n

15.E-10 14.E-10

0982

15/2,7 ground 'V2 13/2

15/2

17/2

13/2

15/2

17/2

18009.60 ±0.10

18009.60 ±0.10 18009.60 ±0.10

total intensity

36.E-11 23.E-11 40.F-U 26.E-11 46.E-11 29.E-11

12.E-10 78.E-11

0982

17/2,8 ground "3/2 15/2

17/2

19/2

15/2

17/2

19/2

23907.12 +0.10

23907.12 ±0.10 23907.12 +0.10

total intensity

25.E-11 ll.E-11 28.E-11 12.E-11

32.E-11 13.E-11

85.E-11 36.E-11

0982

9/2,4 ground '"3/2 4

5

4

5

23469.5 ±0.5 23479.1 ±0.5

52.E-12 13.E-11 64.E-12 17.E-U

0982

3/2 ground '"3/2 2

1

2

1

1667.34 ±0.03

1665.46 ±0.10

1961

33
InBr Indium bromide 2. S-HZZ k

Isotopic

Molecular

Species

Av/p

Mc/mm

|J- Debye

Be Mc/ sec cm"'*'

eqQ(In)

Mc/ sec

eqQ(Br)

Mc/sec

"^e Mc/ sec

D

e kc/ sec

Additional

Microwave

References

In"V^9 1670.14 m 224c -642 138 5.706 0.43 1106, 0965 References 1425 9900 1425 1425 1425 1425

Footnote: For validity of computed intensities see introductory remarks on hyperfine splitting.

Isotopic

Mo 1 e c u la r Species

Rotation

J -^J

Vibrat ion

V

1 1 F *^1 F

VMc/ sec

Intensity cm

300° 195°

Re f In^^V^ 7-6 ground 19/2 10 19/2 10 23308.30 ±0.20 S't.E-OgRll.fc-OB 1425

19/2 11 19/2 11 23308.30 ±0.20

total intensity

38.E-09R12.E-08

72.t-09R23.fc-08

13/2 5 11/2 4 23328.97 ±0.20 ll.E-ObR3&.E-08

11/2 4 9/2 3 23328.97 +0.20 87.E-09R28.t-0B

11/2 7 9/2 6 23328.97 ±0.20

total intensity

l6.E-08R50.E-08 36.E-08R11.E-07

9/2 6 7/2 5 23331.51 ±0.20 13.E-08R42.E-08

9/2 3 7/2 2 23331.51 ±0.20 63.E-09K20.E-08

7/2 2 5/2 1 23331.51 ±0.20 4l.E-09R13.t-08

7/2 5 5/2 4 23331.51 +0.20

total intensity

ll.E-08R36.L-08

35.E-08R1 1 .E-07

15/2 6 13/2 5 23334.50 +0.20 l't.E-08R46.E-08

13/2 8 11/2 7 23334.50 ±0.20 18.E-08R59.t-08

13/2 7 11/2 6 23334.50 ±0.20 16.E-08H50.t-08

34
Isotopic Molecular

Species

Rotst ion

J *-J

Vibfs t i.on V

t ^1

1 P

ti f'l

tl F

VMc/ secIntensity cm

^

300° 195° Ref

ground 13/2 6 11/2 5 23334.50 +0.20 I 3. E-OBX'iS, t-08 142 5 11/2 6 9/2 5 23334.50 +0.20 l3.E-08k'»l .k-08

11/2 5 9/2 4 23334.50 ±0.20 ll.t-08R3'>.k-08 9/2 5 7/2 4 23334.50 ±0.20 10. E-08R 33 , t -08 9/2 4 7/2 3 23334,50 ±0.20 8 1 . E-09R26. fc-08 7/2 4 5/2 3 23334.50 ±0.20 82.E-09R27.t-OB

- 7/2 3 5/2 2 23334,50 ±0.20 59.E-09R19.E-08

5/2 4 3/2 3 23334.50 ±0.20

total intensity

10.E-08R32.t-08

13.E-0 7R41.t-07

15/2 6 13/2 5 23335.55 ±0.20 14.E-08R'>6.t-08

13/2 8 11/2 7 23335.55 ±0.20 18.E-08R59.E-08

13/2 7 11/2 6 23335,55 ±0.20 l6.E-08R50.t-08

13/2 6 11/2 5 23335.55 ±0.20 1 3. E-08R43 . E-08

11/2 6 9/2 5 23335.55 ±0.20 1 3. E-OBK'il . E-08

11/2 5 9/2 4 23335,55 ±0.20 1 l.E-08R34.t-08

9/2 5 7/2 4 23335.55 ±0.20 10.E-08R33 .t-08 9/2 4 7/2 3 23335.55 ±0.20 81.E-09R26.t-08

7/2 4 5/2 3 23335.55 ±0.20 82.E-09R27,t-0B

7/2 3 5/2 2 23335.55 ±0.20 59.E-09R 19.E-08

5/2 4 3/2 3 23335,55 ±0.20

total intensity

10.E-08R32.t-08

13.E-07R41 .t-07

19/2 9 13/2 8 23339,12 ±0,20

19/2 8 13/2 7 23339.12 ±0.20

15/2 8 17/2 7 23339,12 ±0.20 36.E-l4R12.t-13

15/2 7 13/2 6 23339,12 ±0.20 16.E-08R53.t-08

5/2 3 3/2 2 23339.12 ±0.20 63.E-09R20.e-08

5/2 2 3/2 1 23339,12 ±0,20 3b.E-09Rll.E-08

5/2 1 3/2 0 23339.12 ±0.20 17.E-09R5'..E-09

I

35
Isotopic Molecular

Species

Rotat ion

J «-J

Vibration

V

1 ^11 F ^1 F

VMc/secIntensity cm"''' 300° 195° Ref

7*-6 ground 17/2 10 15/2 9 23339.12 +0.20 25.E-08R81.E-08 142 5 17/2 9 15/2 8 23339.12 ±0.20 22. E-08R72.E-08

15/2 7 17/2 8 23339.12 ±0.20 22.E-10R70.E-10

total intensity 76.E-08R24.E-07

19/2 9 13/2 8 23341.01 ±0.20

19/2 8 13/2 7 23341.01 ±0.20

15/2 8 17/2 7 23341.01 ±0.20 36.E-1'»R12.E-13

15/2 7 13/2 6 23341.01 ±0.20 l6.E-08R53.E-08

5/2 3 3/2 2 23341.01 ±0.20 6J.E-09R20.E-08

5/2 2 3/2 1 23341.01 ±0.20 35.E-09Rll.E-08

5/2 1 3/2 0 23341.01 ±0.20 17.E-09R54.t-0y

17/2 10. 15/2 9 23341.01 ±0.20 25.E-08R81 .E-08

- 17/2 9 15/2 8 23341.01 ±0.20 22.E-08R72.E-08

15/2 7 17/2 8 23341.01 ±0.20 22.E-10R70.E-10

total intensity 76.E-08R24.E-07

23/2 13 21/2 12 23343.33 ±0.20 39.E-08R13.E-07

23/2 12 21/2 11 23343.33 ±0.20 36.E-08Rl2.E-07

23/2 11 21/2 10 23343.33 ±0.20 33.E-08R11.E-07

23/2 10 21/2 9 23343.33 ±0.20 30.E-08R97.E-08

21/2 12 19/2 11 23343.33 ±0.20 S'f.E-OBRl 1 .E-07

21/2 11 19/2 10 23343.33 ±0.20 31.E-08R00.E-08

21/2 10 19/2 9 23343.33 ±0.20 28.E-08R90.E-08

21/2 9 19/2 8 23343.33 ±0.20 26.E-08R82.E-08

19/2 11 17/2 10 23343.33 ±0.20 29.E-08R95.E-08

19/2 10 17/2 9 23343.33 ±0.20 26.E-08R85.E-08

17/2 9 15/2 9 23343.33 ±0.20 45.£-10R14.fc-09

17/2 9 15/2 8 23343,33 ±0.20 22.E-08R72.E-08

15/2 9 17/2 8 23343.33 ±0.20 32.E-14R10.E-13

total intensity 34.E-07R1 l.t-06

36
Isotopic Molecular

Species

Rotst d.on

1 II J •^J

V'ihr'a+ "inn V

1 1 F f"

VMc/ S6CIntensity cm

^

300° IQS" Ref

7'>-6 ground 23/2 13 21/2 12 23345.07 ±0.20 39.E-08Kl3.t-07 1425

23/2 12 21/2 11 23345.07 ±0.20 36.E-08R12.t-07

23/2 11 21/2 10 23345.07 ±0.20 33.E-08R11.E-07

23/2 10 21/2 9 23345.07 ±0.20 30 .6-08R97 . t-08

2 1/2 12 19/2 11 22345.07 ±0.20 3 1 . E-08R 1 0 . E-07

21/2 11 19/2 10 23345.07 ±0,20 31 .E-08R00.fc-08

21 /2 10 19/2 9 23345,07 ±0,20 28. E-08H90 . t-OB

21/2 9 19/2 8 23345.07 ±0.20 26.E-08K8i!.t-08

19/2 11 17/2 10 23345,07 ±0.20 29.E-08R95.f-08

19/2 10 17/2 9 23345.07 ±0.20 26.E-08K8b.t-08

17/2 9 15/2 9 23345,07 ±0.20 45.E— 10R14.E-09

17/2 9 15/2 8 23345,07 ±0.20 22.E-08R72.£-0a

15/2 9 17/2 8 23345.07 ±0.20

total intensity

32. E-14K10 . t-13

33. E-07K 1 1 . t-06

23/2 13 21/2 12 23346.51 ±0,20 39. E-08R 1 3 . t-07

23/2 12 21/2 11 23346.51 ±0.20 36.E-08R 1 2 .£-0 7 23/2 11 21/2 10 23346.51 ±0.20 33.e-08Rll.t-07

23/2 10 21/2 9 23346.51 ±0.20 30.E-08R97.t-08

21/2 12 19/2 11 23346,51 ±0.20 3A. e-08Rl 1 .t-07 21/2 11 19/2 10 23346,51 ±0,20 31.t-08R00.t-08

21/2 10 19/2 9 23346,51 ±0,20 28. e-08R90 .E-08

21/2 9 19/2 8 23346,51 ±0.20 26.E-08R82.t-08

19/2 11 17/2 10 23346.51 ±0.20 29.E-08R9t>.e-08

19/2 10 17/2 9 23346,51 ±0.20 26.E-08R8b.t-08

17/2 8 15/2 7 23346 ,51 ±0,20 20.e-08R6'i.t-08

17/2 9 15/2 9 23346.51 ±0,20 45.e-10Rl'f.t-09

15/2 9 17/2 8 23346,51 ±0.20

total intensity

32. E-l'fR10.E-13

33. e-07Rll.t-06

37
Isotopic

Mol ecular

Spec ies

Rotation

J <-J

Vibration

V

1 ^1

1 Elr

11 I?^1 I?r VMc/ sec

Intensity cm""'' 300° 195° Ref

7«-6 ground 15/2 8 15/2 8 23353.40 +0.20 49.E-09Rl6.e-08 142 5 15/2 6 15/2 6 23353.40 ±0.20 3e.E-09Rl2.e-08

13/2 8 13/2 8 23353.40 ±0.20 58.E-09R19.E-08

13/2 7 13/2 7 23353.40 ±0.20

total intensity

<t9.E-09R16.E-08 l9.E-08R62.E-08

13/2 6 13/2 6 23358.74 ±0.20 42.E-09R14.e-08

13/2 5 13/2 5 23358.74 ±0.20 37.E-09R12.e-08

5/2 4 5/2 4 23358.74 ±0.20 25.E-D9R80.E-09

19/2 9 17/2 8 23358.74 ±0.20

total intensity

24.e-08R77.e-08 34.E-08RH.e-07

13/2 7 17/2 7 23361.35 ±0,20

13/2 4 13/2 4 23361.35 ±0.20 34.E-09R11 .E-08 13/2 3 13/2 3 23361.35 ±0.20 34.E-09Rll.E-08

7/2 5 7/2 5 23361.35 ±0.20 40.e-09R13.e-08

11/2 7 11/2 7 23361.35 ±0.20 56.E-09R18.E-08

11/2 4 11/2 4 23361.35 ±0.20

total intensity

33.E-09Rll.e-08 20.E-08R63.£-08

13/2 7 17/2 7 23362.70 ±0.20

13/2 4 13/2 4 23362.70 ±0.20 34.E-09R11 .e-08

13/2 3 13/2 3 23362.70 ±0.20 34.E-09Rll.e-08

7/2 5 7/2 5 23362,70 ±0.20 4p.e-09R13.e-08

11/2 7 ll/2 7 23362.70 ±0.20 56.e-09R18.t-08

11/2 4 11/2 4 23362.70 ±0.20

total intensity

33.E-09R1 1 .t-08 20.E-08R64-E-08

11/2 6 11/2 6 23365.60 ±0.20 46.e-09Rl5.t-08

11/2 5 11/2 5 23365.60 ±0.20

total intensity

38.E-09R12.e-08

84.E-09R27.t-08

9/2 5 9/2 5 23367.97 ±0.20 39.E-09R13.E-08

38
Isotopic Molecular

SpG C ICS

Rotation

1 M J *-J

Vibration

V

1 1 F

ft

•"l f"

VMc/ secIntensity cm"^

300° 195°

Kef

, 115„ 79 In Br 7«-6 ground 9/2 4 9/2 4 23367.97 ±0.20 3l.E-09R99.£-09 1425

7/2 4 7/2 4 23367,97 ±0.20 29.E-09R92.fc-09

7/2 3 7/2 3 23367.97 +0.20

total intensity

2l.E-09R67.t-09

12.E-08R38.E-08

1 19/2 10 19/2 10 23228.68 ±0.20 I2.e-09R21 .E-09 1425

19/2 11 19/2 11 23228.68 ±0.20

total intensity

13.E-09R2'..t-09 25.E-09R<.5.E-09

2 3/2 13 21/2 12 23263.76 ±0.20 l3.E-08R2<t.fc-08

2 3/2 12 21/2 11 23263.76 ±0.20 l2.E-0BR22.E-08

23/2 11 21/2 10 23263.76 ±0.20 ll.E-08R20.t-0B

23/2 10 21/2 9 23263.76 ±0.20 lO-E-08R19.e-08

21/2 12 19/2 11 23263.76 ±0.20 12.E-08R21.E-08

21/2 11 19/2 10 23263.76 ±0.20 1 1.E-08R19.E-08

21/2 10 19/2 9 23263.76 ±0.20 96.E-09Rl7.t-08

21/2 9 19/2 8 23263.76 ±0.20 87.E-09Rl6.E-08

19/2 11 17/2 10 23263.76 ±0.20 10.E-08R18.t-08

19/2 10 17/2 9 23263.76 ±0.20 90.E-09R16.t-08

17/2 8 15/2 7 23263.76 ±0.20 68.E-09R12.E-08

17/2 9 15/2 9 23263.76 ±0.20 lb.E-10R28.E-10

15/2 9 17/2 8 23263.76 ±0.20

total intensity

U.E-l'»R20.E-l'. ll.E-07R2l.E-07

13/2 6 13/2 6 23279.09 ±0.20 l'>.E-09R26-e-09

13/2 5 13/2 5 23279.09 ±0.20 l3.E-09R23.e-09

5/2 4 5/2 4 23279.09 ±0.20 85.E-l0Rl5.E-09

19/2 9 17/2 8 23279.09 ±0.20

total intensity

81.E-09Rl5.E-08

12.E-08R21.E-08

13/2 7 17/2 7 '23232.61 ±0.20

13/2 4 13/2 4 23282.61 ±0.20 12.E-09R21.E-09

t

39
i

Isotopic

Molecular

Spec ies

Rotation

J *-J

Vibration

V

? ^1? F ^1 f"

VMc/ sec

Intensity cm"''" 300° 195° Ref

7«-6 1 13/2 3 13/2 3 23282.61 ±0.20 12.E-09R21 .t-09 142 5

7/2 5 7/2 5 23282.61 ±0.20 l4.E-09R2b.t-09

11/2 7 11/2 7 23282.61 +0.20 l9.E-U9R3'3.t-09

11/2 4 11/2 4 23282,61 ±0.20

total intensity

ll.E-09R20.t-09 67.E-09R12.t-08

11/2 6 11/2 6 23285.37 ±0.20 l6.E-09R28.t-09

11/2 5 11/2 5 23285.37 ±0.20 13.E-09R24.t-09

9/2 5 9/2 5 23287.37 ±0.20 13.E-09R24.t-09

9/2 4 9/2 4 23287.37 ±0.20 ll.E-09R19.t-09

7/2 4 7/2 4 23287.37 ±0.20 97.E-10R18.t-09

7/2 3 7/2 3 23287.37 ±0.20

total intensity

71.E-lDR13.t-09

69.E-09R1 3.t-08

InCl Indium chloride 2 VO// A

IsotopiC'

Molecular

Species

Av/p

Mc/mm Debye

Be Mc/ sec cm

"'"

eqQ(In)

Mc/sec

eqQ(Cl)

Mc/ sec

"e Mc/ sec

»e kc/ sec

Additional

Microwave References

• Inll5ci35 3269.47 m 317 -655 -18 15.35 1.55 1106 Inll5ci37

References 1425 9900 1425 1425 1425 1425 Footnote: For validity of computed intensities see introductory remarks on hyperfine splitting.

40
Iso t op ic Molecular

Species

Rotation

I M T - T J -J

Vibration

V

1 1 FM F

VMc/sec

^1 Intensity cm 300° 195° Ref

3*-2 ground 9/2 5 7/2 4 19526.26 +0.20 li'.e-ljBR35.b-08 1425

Q / 0 y/ z 6 7/2 5 19526,,26 ±0.20

total intensity

1 5 .E-08k'»5. t-08

26.e-08R80.fc-08

9/2 3 7/2 2 19527.77 ±0.20 7l.E-09R22.t-08

9/2 4 7/2 3 19527.77 ±0.20

total intensity

91 .E-09R28.t-0e

16-t:-08R't9.t-08

5/ 2 1 5/2 1 19539.67 ±0.20 36. E-09R I 1 .t-Ob

5/ 2 2 5/2 2 19539.67 ±0.20 't9.fc-09Rl5.t-08 5/2 3 5/2 3 19539.67 ±0.20 83.E-09R25.t-08

5/ 2 4 5/2 4 19539.67 ±0.20

total intensity

l'».E-08K'.2.E-08 31.E-08R93.t-08

11/2 4 9/

2

3 19563.97 ±0.20 15.E-08R46.t--08 11/2 5 9/ 2 4 19563.97 ±0.20 l9.E-08R56.t-0fl 11/2 6 9/

2

5 19563.97 ±0.20 23.t-0eR6b.t-0«

11/2 7 9/

2

6 19563.97 +0.20 27. E-08RB3.t-08

11/2 4 11/2 4 19563.97 ±0.20 12.fc-08R36.t-08

11/2 5 11/2 5 19563.97 ±0.20 14. E-08R4 I - E-08

11/2 6 11/2 6 19563.97 ±0.20 l6.E-08R50.t-06

11/2 7 11/2 7 19563.97 ±0.20

total intensity

20.E-08R61 .t-08

l't.E-07R4'».t-07

11/2 4 9/

2

3 19565.84 ±0.20 l5.E-08R46.fc-08

11/2 5 9/2 4 19565.84 ±0.20 l9.E-08R56.fc-08

11/2 6 9/2 5 19565.84 ±0.20 23.E-0 8R6H.h-08

11/2 7 9/2 6 19565.84 ±0.20 27.t-08R83.t-0b

11/2 4 11/2 4 19565.84 ±0.20 l2.E-08R36.E-08

11/

2

5 11/2 5 19565.84 ±0.20 I'l.E-OBR'fl.t-OS

11/2 6 11/2 6 19565.84 ±0.20 16.E-08R50.E-08

11/2 7 11/2 7 19565.84 ±0.20

total intensity

20 . E-08R6 1 .t-08 I4.E-07RA'..E-07

41
Isotopic

Mo lec ular Species

Rotation

J fJ

Vibrat ion V

1 1 F

„ ^1

tt F

VMc/ sec

Intensity cm"''' 300° 195° Ref

3<-2 ground 7/2 2 7/2 2 19570,25 ±0.20 86.E-09R26.b-08 1425 7/2 3 7/2 3 19570.25 ±0.20 ll.E-08R33.t-08

7/2 4 7/2 4 19570.25 ±0.20 l5.e-08R45.t-08

7/2 5 7/2 5 19570.25 ±0.20

total intensity

2l.E-08R63.t-0B

55.E-08R17.E-07

15/2 6 13/2 5 19578.36 ±0.20 41.E-0BR13.E-07

15/2 7 13/2 6 19578.36 ±0.20 48.E-08Rl4.e-07

15/2 8 13/2 7 19578.36 ±0.20 55.E-08R17.e-07

15/2 9 13/2 8 19578.36 ±0.20

total intensity

63.E-Q8R19.E-07

21.E-07R63.fc-07

9/2 3 9/2 3 19584,56 ±0.20 12.E-08R35.E-08

9/2 4 9/2 4 19584.56 ±0.20 14.E-08R42.t-08

9/2 5 9/2 5 19584.56 ±0.20 18.E-08R53.E-08

9/2 6 9/2 6 19584.56 ±0.20 23.E-08R69.b-08

3/2 0 5/2 1 19584.56 ±0,20 33.E-09RlO.E-08

3/2 1 5/2 2 19584,56 ±0.20 69.E-09R21.b-08

3/2 2 5/2 3 19584.56 ±0.20 12.e-08R37.e-0B

3/2 3 5/2 4 19584,56 ±0.20 20.E-08R60.t-08

13/2 7

' 11/2 6 19584.56 ±0.20

total intensity

37.E-08Rll.fc-07

14.E-07R4't.b-07

13/2 5 11/2 4 19589.08 ±0.20 27.E-08R81.b-08

13/2 6 11/2 5 19589,08 ±0.20 31.E-08R95.E-08

13/2 8 11/2 7 19589.08 ±0.20

total intensity

43.E-08Rl3.b-07

l0.E-07R3l.E-07

5/2 1 7/2 2 19621.36 ±0.20 47.E-09R14.b-08

5/2 2 7/2 3 19621.36 +0.20 67.E-09R21.b-08

5/2 3 7/2 4 19621.36 ±0.20 95.E-09R29.b-08

5/2 4 7/2 5 19621.36 ±0.20

total intensity

13.E-08R40.b-08

34.E-08R10.b-07

42
Isotopic Molecular

Species

Rotation

» n J +-J

Vlbrat ion V

1 •"l1 F ^1 f"

VMc/ secIntensity cm~^

300° 195° Ref

115 35

3<-2 ground 7/2 2 9/2 3 19628,75 ±0.20 39-E-09K12.cr-08 1425

7/2 3 9/2 4 19628.75 +0.20 50.E-09r<15.h-08

7/2 4 9/2 5 19628.75 ±0.20 63.E-09Kl9.t-08

7/2 5 9/2 6 19628.75 ±0.20

total intensity

ecE-ogRz^.t-os

23.e-08R7l.t-08

1 15/2 6 13/2 5 19486.10 ±0.20 89.E-09R12.t-08 1425 15/2 7 13/2 6 19486.10 +0.20 lO.E-OBRl'i.t-Oe 15/2 8 13/2 7 19486.10 ±0.20 l2.E-08R16.t-08

15/2 9 13/2 8 19486.10 +0.20

total intensity

l<..E-08R18.fc-08 45.E-08R60.t-0B

9/2 3 9/2 4 19491.88 +0.20 23.E-10R31.t-lO

9/2 4 9/2 4 19491.88 ±0.20 30.E-09R40 - i--n9

9/2 5 9/2 5 19491.88 ±0.20 38.E-09k51 .t-09 9/2 6 9/2 6 19491.88 ±0.20 49.E-09R65.E-09

3/2 0 5/2 1 19491.88 ±0.20 71.E-10R95.t-10

3/2 1 5/2 2 19491.88 +0.20 15.E-09R20.E-09

3/2 2 5/2 3 19491.88 ±0.20 27.E-09R36.t-09

3/2 3 5/2 4 19491.88 ±0,20 43.E-09R57,E-09

13/2 7 11/2 6 19491,88 ±0.20

total intensity

79.E-09Rll.t-08 29.E-08R39.t-08

13/2 5 11/2 4 19496.29 +0.20 58.E-09R77.t-09

13/2 6 11/2 5 19496.29 ±0.20 6a.E-09R91 .t-09

13/2 8 11/2 7 19496.29 ±0.20

total intensity

93.E-09R12 .E-08 22.E-08R29.t-08 ground 15/2 6 13/2 5 18768.93 ±0.20 12.E-08R38.t-08 142 5 15/2 7 13/2 6 18768.93 ±0.20 14.E-08R43.t-08

15/2 8 13/2 7 18768.93 ±0.20 16.E-08R50.t-08

15/2 9 13/2 8 18768.93 ±0.20

total intensity

I9.E-08R57.t-0B 6l.E-08R19.t-07

43
In! Indium iodide

Isotopic

Molecular

Species

Av/p

Mc/mm

V- Debye

Be Mc/ sec cm

Q(In)

10 cm

''e Mc/sec«e kc/sec

Addit ional Microwave

References

j„115jl27 1104.95 m 177 0.84 3. 117 0. 19 1106 References 1425 9900 0015 1425 1425

Isotopic

Molecular

Species

Rotation

J f-J

Vibrat ion

V

t ^1t F f"

VMc/ sec

Intensity cm~^

300° 195° Ref

j„115jl27

ll'^lO ground 24275.39 ±0.20

24278.01 ±0.20 24279.23 ±0.20

24280.42 ±0.20

24282.48 ±0.20

17.E-06R56.t-06

l7.E-06R56.t-06 17.e-06R56.E-06

17.E-06R56.L-06 17.E-06k56.E-06

1425

1 24206.89 ±0.20 24209.36 ±0.20

24210.68 ±0.20

24211.78 ±0.20

24213.78 ±0.20

71.E-07R15.E-06

71 .E-07Rlb.E-06 71.E-07R15.E-06

71 .e-07R15.E-06 71.E-07R15.E-06

1425

2 24140.91 ±0.20

24143.30 ±0.20

30.E-07R40.E~07

30.E-07R40.E-07

142 5

44
ICl Iodine monochloride 2.3207 A 0-—

TXbe + rxrt 1 C U L up X^- Molecular

Species

Av/p

Mc/mm Debye Mc/ sec cm

'"

eqQ( I

)

Mc/ sec

eqQ(Cl)

Mc/sec

^e Mc/ sec

Addit ional Microwave

References

ll2 7ci35 9.79 m 0.65 i 3422.300ni 384 -2930.0 -82.

1

16.060 0322, 0165 ll27ci37 9.79 m 0109, 0162 References 01^3 0163 0163 9900 0163 0163 0163

Footnote: Measured half-width of 13/2 <- ll/2 lines was 11+2 Mc at T = -15°C, P = 1mm Hg (0163).

Isotopic

Molecular

Species

Rotat ion

J i-J

Vibrat ion V

f 1^1t F •^1

n F

VMc/ sec

Intensity cm

''"

300° 195° Ref

ll2Vci35 4*-3 ground 5/2 3 3/2 2 27194.75 50.E-08 15.t-07 0163

5/2 2 3/2 1 27202.64 2b.E-08 83. £-08

5/2 4 3/2 3 27204.99 81.E-08 24.t-07

7/2 4 5/2 3 27217.51 79.E-08 23.t-07

7/2 3 5/2 2 27221.02 56.E-08 16.E-07

7/2 5 5/2 4 27225.32 ll.E-07 32.t-07

7/2 2 5/2 1 27228.34 39.6-08 12.6-07

3/2 2 1/2 1 27242.59 22.6-08 66.E-0B

3/2 3 1/2 2 27254.90 63.E-08 18.6-07

9/2 9/2 27283.66 30.E-06 89.6-06

9/2 7/2 27283.66

total intensity

30.E-06 89.E-06 61.E-06 18.6-05

9/2 9/2 27286.25 30.6-06 89.6-06

9/2 7/2 27286.25

total intensity

30.E-06 89.6-06

61.E-06 18.E-05

9/2 9/2 27292.63 30.E-06 89.6-06

9/2 7/2 27292.63

total intensity

3G.E-06 89.6-06 61.6-06 18.6-03

45
Isotopic Molecular

Species

Rotation

1 n J «-J

Vibrat ion

, V

1 1 F

11 ''l f"

VMc/ sec

Intensity cm""'' 300° 195° Ref

jl27(,i35 4*-3 ground 9/2

9/2

11/2 6

9/2

7/2

7/2 5

27295.05

27295.05

total intensity 27333.85

30.6-06 89.6-06

30.E-0t> 89.6-06

61.E-06 18.6-05

0163

11/2 6 9/2 5 27333.85

total intensity

15.E-07 45.t-07

15.E-07 45.6-07

13/2 7 11/2 6 27336.68 20.6-07 60.6-07

13/2 6 11/2 5 27336.68

total intensity

17.6-07 51.6-07 38.E-07 11.6-06

13/2 8 11/2 7 27337.38 24.E-07 70.6-07

13/2 5 11/2 4 27337.38

total intensity

15.E-07 43.6-07

39.E-07 ll.E-06

11/2 4 7/2 3 27346.31

11/2 4 9/2 3 27346.31

total intensity

lO.E-07 31.6-07

10.6-07 31.6-07

11/2 5 7/2 4 27354.71

11/2 5 9/2 4 27354.71

total intensity

13.E-07 37.6-07

13.E-07 37.6-07

11/2 7 9/2 6 27356.58 19.E-07 55.6-07

11/2 6 7/2 5 27357.73

11/2 6 9/2 5 27357.73

total intensity

15.6-07 46.6-07

15.6-07 46.6-07

1 13/2 11/2 27208.54 48.6-07 52.6-07 0163

46
LiBr Lithium bromide 2, I70f k

Isotopic

Molecular

Species

Av/p

Mc/mm

V- Debye

Be Mc/ sec cm"'*'

Ui Mc/ sec Mc/sec kc/sec

e kc/sece e -1 cm

Ig 10-40gcm2

Li^Br^l 19162.32m 19161.511 (208.75) (868) [109]

Li^Br^9 6.19 m 16651. 19m [ 480] 16650.570 169.09 6 56 [82] [1.7] 30.36012 LiV^l 16617.62m 16650.002 168.58 653 [82] References 0858 0858 0858 0858 0858 0858 0858 0858 0858

Isotopic

Molecular

Species

eqQ(Br)

Mc/sec

V = 0 V = 1

eqQ(Li)

Mc/ sec Li^Br"

LiV^9 +37.20 +0. 184 Li^Br^l +30.71 +33.19 References 0858 0858

Isotopic

Molecular

Species

Rotation

J ^J

Vibration

V

1 '^l1 F f"

VMc/ sec

Intensity cm""*^ 300° 195° Ref

LiSr^l l'<-0 ground 5/2 3/2 38112.72 ±0.10 79.E-06 22.E-05 08 58 Li^BrTM I'^O ground 1/2

5/2 3/2

3/2

3/2

3/2

33122.44 +0.30

33130.30 ±0.10 33139.50 ±0.10

21.E-05 61. £-05 64.E-05 le.b-O't

-tS-E-OS 12.t-0'»

08 58

2 5/2 3/2 32461.52 ±0.10 62.E-07 I5.t-U7 08 58 LiV«l l<-0 ground 1/2

5/2

3/2

3/2

3/2

3/2

33057.54 ±0.25

33063.96 ±0.10 33071.53 ±0.10

21.E-05 59.t-0!> 62.E-05 18.t-0'>

'f2.E-05 l2.t-0'(

08 58

1 1/2 5/2

3/2

3/2

3/2

3/2

32722.60 ±0.10

32729.14 +0.10 32737.53 ±0.10

21.E-06 l7.t-06 62.E-06 5l.t-06 41.E-06 3'>.b-060858

2 5/2 3/2 32397.13 ±0.10 62.E-07 15.E-07 0858

47
Lil Lithium iodide 2.3919 ^

Isotopic

Molecular

Species

Av/p

Mc/mm Debye

Be Mc/ sec

"e-1 cm^01

Mc/ sec

<^e Mc/ sec kc/sec

Ye kc/sec

le lO-^Vm^

eqQ(Li)

Mc/ sec

j^.6jl27 15381.99m 15381.448 152.59 (69.0) (610)

Li^ll2^ 6.25 m 13286.78m 450 13286.386 122.62 (51.5) 455 38.04799 +0.172 References 0858 08 58 0858 0858 08 58 0858 0858 0858 0858

Isotopic

Molecular

Species

eqQ(I) Mc/sec

v=0 v=l v=2

Li6jl27 -199.43 -206.8 Li^ll27 -198.15 -206.5 -212.6 References 0858

Isotopic

Molecular

Species

Rotat ion

j'-i-j"

Vibration

V

t Fl1 F

It F

VMc/ sec

Intensity cm

"'^

300° 195° Ref

Li^ll^-^ l«-0 ground 5/2 5/2 30578 28 + 0 10 54.E-06 16.fc-05 0858

7/2 5/2 30620 17 ±0 10 73.E-06 21.b-05

3/2 5/2 30638 10 +0.15 36.E-06 lO.E-05

1 7/2 5/2 30317 79 ±0 20 82.E-07 74.E~07 08 58 3/2 5/2 30336 40 ±0.40 41.E-07 37.E-07 Li^ll27 1-^0 ground 5/2 5/2 26418 44 ±0 10 43.E-05 12.E-04 0858

7/2 5/2 2646 0 14 ±0 10 58.E-05 l7.E-0'i

3/2 5/2 26477 88 ±0 10 29.E-05 83.E-05

1 5/2 5/2 26173 72 ±0 10 't9.E-06 't4.E-06 08 53

7/2 5/2 26217. 11 ±0 10 65.E-06 59. £-06

3/2 5/2 26235 65 ±0 10 33.E-06 29.E-06

2 5/2 5/2 25931 21 ±0 20 55.E-07 16.fc-07 0858

7/2 5/2 25975 62 ±0 20 7'f.E-07 21.E-07

3/2 5/2 25995 48 ±0. 40 37.E-07 lO.E-07

48
NO Nitric oxide

The electronic state of nitric oxide, like that of the hydroxyl radical, is a n

state with coupling intermediate between Hund's cases (a) and (b). However, since B is much smaller than for OH, is much larger and the coupling is more nearly Hund's case

(a). (See the discussion of Z^, and Q^, for the hydroxyl radical.) For +w»(J + 1/2)^ , the first order binomial expansion of AAj~^i^~l/2y^~^~w^ yields

^ + JtJ + 1)

Where t, = ^TV + l/(8V^)c Hence,

= (2J + i)e^-^J(J + 1>

,

where X^. = WB(1 ± l/(2\4r)). As for OH, the upper and lower signs respectively correspond

to positive and negative signs before the radical or, for large J, to J = N - 1/2 and to

J = N + 1/2. However, since the coupling constant A for NO is positive, the respective

2 2 signs now correspond to ^l/2 values. To the extent that the binomial

approximation is adequate,

= 2e-^ ^+ l)^-""^'^' ^ l>f2e-^^ |

(2J + D'^-J^J * . J»l/2 J=3/2

Again as for OH, the A -doubling factor 2 appears in the expression for but not for Z^, since the doubling is resolved in the spectra reported here. Evaluation of the rather slowly converging series

I

(2J + l)e-^J<J ^ 1) = 2e*V4 ^

J=S2 j=2+l/2

by means of the Euler-Maclaurin expansion yields, for S = I/2,

49
Hence, the approximation

= * A^l _ lj,.2,+^ + XV4^1 _ 1 _ 2e-X_J

"as used.Since the maximum J value involved in an observed microwave transition is 5/2, Hund's

case (a) provides a rather good approximation for computing V. For the transition J+l«-J,

V =

(J + (J + 1)(2J +1)

[2: equation 3-40].

*

50
NO Nitric oxide 1,1508 A («>—--0

Isotopic Molecular

Spec ie s

Av/p

Me/nun

V- Debye Mc/ S6C

(0 e-1 cm Mc/ SQC

^^o^eff^"3/2

Mp / ^ p Mc/ SQC rit'/ sec 0.158 m 50848.42m 1904 50121.15 51571.61 51109.51 0.034 0.319 49043.86m 48375.04 49689.35 49298.14 0.017 0.261

References 1739 1547

0992

9900 1141 1547, 1141 1141 1141 1141

Isotopic Molecular

Species

D

0 Mc/sec

Q(N) 10-24cm2

I lO^Vm^ 10-^0gcm2

"e

-1 cm

A

cm"'''

eqQ(N)

Mc/sec

e^qA sin^x\

[ I

0. 177 0.016 16.505 14.416 0.0181 122.

U

-2 22+9 Mc/sec

n15o16 0. 139 17. 101 17.019 0.0171

Ref erences 1141 1673 1141 1141 1141 1547 1547 1547

Isotopic Molecular

Species

A-doubling, i-uncoupling

constants, Mc/sec

magnetic hfs constants abedMc/sec a-(b+c)/2 +176.15 +1.15 +3216,99 83,82 68,49 - 86,34 112,60 92,74 +170.45 +0,71 +3224.79 -116,94 -96.63 +122.82 -157.88 -130.03

References 1141 1547. 1141

I

f

ij

i|

51
Isotopic

Molecular

Species

. a -t (b+c)/2

Mc/sec

— g in Bohr raagnetons-K*

^"1/2 ' = ^"1/2 ' = ^"1/2' = ^"1/2 ' J = 3/2

74.895 .0007 + a .0007 - a g + (2/5)o g - (2/5)a

ijiSoie

References 1547

1041

Footnote: «-* a = +0.0025, g = -0.0230. For the state, see 0809, theoretical

treatment in 1029, and parameters listed here.

Isotopic

Molecular

Species

Rotation

1 n J i-J

Vibration

V

Elect

ronic

1 1 F f"

VMc/ sec

Intensity cm""*^ 300° 195° Ref

3/2'.-l/2 ground V2 5/2 3/2

3/2

1/2

1/2

3/2

1/2 3/2

1/2

3/2

150176.30 ±0.25

150198.52 ±0.25

150218.57 ±0.25

150225.47 ±0.25

150245.38 ±0.25

25.E-06 80.E-06

98.E-07 29.E-06

78.E-07 24.E-06

78.E-07 2'>.E-06 98.E-C8 29.E-07

1141

'"1/2 1/2

3/2

5/2

1/2

3/2

3/2

3/2

3/2

1/2

1/2

150375.02 ±0.25

150438.72 ±0.25

150546.25 ±0.25

150580.38 ±0.25

150644,11 ±0.25

98.E-08 29.E-07

78.E-07 24.E-06 26.E-06 80.E-06

78.E-07 24.E-06 98.E-07 29.E-06

5/2*-3/2 ground 2n+V2 7/2

5/2 3/2

5/2 3/2

1/2

250435.60 ±0.50 250439.20 ±0.50

250447.16 ±0.50

ll.E-05 33.E-05

72.E-06 21.E-0S '3.E-06 12.E-05

1141

52
Isotopic Rotation Vibration Elect 1 1 It M V Intensity cm

^ Molecular 1 " ^1 F ^1 F Kef Species J <-J V ronic Mc/ sec 300° 195"

5/2«-3/2 ground 9 +</2 3/2 3/2 250474.02 ±0.50 14.F-05 40.F-06 1141

5/2 5/2 250481.52 ±0 50 I'f.F-OS 40.E-06

9 _

5/2 5/2 250707. 12 ±0 50 14.e-06 40.E-06

3/2 3/2 250752.61 ±0 50 14.E-06 40.E-06

7/2 5/2 250794.99 ±0 50 ll.E-05 33.E-05

5/2 3/2 250814.64 ±0 50 72.E-06 21 .E-05

3/2 1/2 250816.24 ±0 50 43.E-06 12.E-05

5/2«-3/2 ground 2 +

"3/2 7/2 5/2 257822.06 ±0 3 «i4.E-06 97.E-0ft 1547

5/2 3/2 257852.87 ±0 3 28.E-06 61 .E-06

3/2 1/2 257867.67 ±0 3 17.E-06 37.E-06

2 "3/2 7/2 5/2 257825.02 ±0 3 4't.E-06 97 .F-06

5/2 3/2 257855.36 ±0 3 28.E-06 61 .E-06

3/2 1/2 257870.35 ±0 3 17.E-06 37. E-06

ground

0 J. '"t/2 1 1 144927.81 ±0 25 22.F-09 64.E-09 1141

1 0 144946.34 ±0 25 ft6.F-09 13,t^-0R

2 1 144976.00 ±0 25 ll.E-08 32 .E-08 'V2 1 0 145236.09 ±0 25 44.E-09 13.E-08

2 1 145307.81 ±0 25 ll.E-08 32. E-08

1 1 145428.07 ±0.25 22.E-09 64.E-09

5/2<-3/2 ground '4/2 2 1 241715.40 ±0. 50 31.E-0B 91 .E-08 1141

3 2 241723.79 ±0 50 49.E-08 14.E-07 2„-V2 2 1 242046.03 ±0 50 31.E-08 93. E-08

3 2 242060.35 ±0 50 149.E-O8 14.E-07

53
Og Oxygen

3 —

The ground electronic state of the oxygen molecule is a state. The spin

S = 1 couples to the angular momentum N of nuclear motion according to Hund's case (b)

,

yielding three sets of levels for which J = N+1, N, and N—1 respectively, where N is zero

(in the first case only for which J = S = 1) or a positive integer [5: page 2221. ^'or intensity computations, the energies may in general be adequately approximated by BN(N + BN(N + l)+0, and BN(N + l)->i, for J = N+1, N, and N-1 respectively, where K is approximately

60,000 Mc/sec; however, for the N = 1, J = 0 level the energy is BN(N + l)-2\ [2: figure 7-6 and equation 7-6]. Adding the constant +\ to the previous energies, the values for heter—

onuclear molecules are given by exp(+XN(N + 1)) = 2N + 3 , (2N + l)exp(-X.W), and 2N - 1, except for the additional factor exp(+\W) for the N = 1, J = 0 state. Correcting for the missing

two N = 0 states and the state of exceptional energy and combining the first and last sets of states, the Mulholland approximation yields

= (3 - Y)(l/X + 1/3 + X/15) + 2>jr

for the heteronuclear molecules.

For homonuclear molecules, the Pauli exclusion principle must be satisfied for interchange of the nuclei as well as for interchange of electrons. Since the electronic wave function

16 18 of oxygen is antisymmetric with respect to interchange of the nuclei and the spins of 0 and 0

are zero, the statistical weights of 02^ and 02^ are normal for odd N and zero for even N. Consequently, the heteronuclear Z^'s are multiplied by 1 or 0 for 0^^ and 02^, for odd or even N respectively. To the required accuracy, for the (hypothetical) homonuclear molecules is half that

for the heteronuclear molecules.

54
The values of V are N(2N + 3)/(2N + 1)(N + 1) and

(N + 1)(2N - 1)/N(2N + 1)

for the transitions N, N+1 and N, N-1 respectively, where the magnetic dipole moment is

2 Bohr magnetons [2: equation 7-8 in which the direction of the arrows indicate emission].

The resonant frequencies of oxygen are given by

v(N, J = N'^-N, J = a ± 1) = \^ + - 6h-2^/2

+ (\^ + 5nj^/2)(n^ + n + 2) + [(2n + + 2B^(n^ + n + 1)

where

+B2(3n'* + 6n^ + 13n^ + lOn + 4)j - f(n):

B(N) = B„ + Bj^N(N + 1) + B2N^(N + 1)^ ,

1*(N) = H-o + KiN(N + 1) ,

[f(n)]^ = [(2n + 1){(B^ - |j../2) + (2B^ - \^^/2',{x? + n + 1)

+B2(3n^ + 6n^ + 13n^ + lOn + 4)j

3Mj

2

7 2 _ \o + \i(5n^ + 5n + 2) 2n + 1

1 f2X„ + 2xi(n^ + n + D]

n = N + 1,

and the parameters are given in the molecular constant table under reference number 1958.

( The s's in the published expression for f(n) should be entered as 5's as above.)

55
"2 Oxygen 1.2074 A

Isotopic

Molecular

Species

Av/p

Mc/mm Deb ye

B„ Mc/ sec

'^e cm

eqQ

Mc/ sec

Bl Mc/ sec

«2 Mc/sec

X

0 Mc/ sec Mc/ sec

lXo/2 Mc/ sec 2.00 a 43100.5 m 1580 -0.1470 0±10~^ 59501.332 0.05858 -126.2930

O2' 2.00 a 48488.2 c o^^oi^ 2.00 a 44406.5 c 2.7 o^^o^s 2.00 a 45794.8 c References 1958 9900 0736 1958 1958 1958 1958 1958 * a: Rough average of several experimental values. See material below on line width parameter.

Isotopic

Molecular

Species

M.l/2 Mc/ sec

Magnetic hfs constants

Mc/ sec

b c

<|3cos2x-]y2r3^av

1 /^24 -3

10 cm

(l/r3)av

1025cm-3 1024cm-3

Additional

Microwave

References

0^^

"2 -0.000117 -102 140 -8.9 4.45 1.26 0172, 0273, 0293,0381,

0385, 0409, 0422,0507,

0539, 0545, 0650,0736,

0752, 0972, 0973,1077,

1078, 1120, 1144,1411,

1499, 1713, 1744.

"2o^^o"

qI^o^^

References 1958 0737 0738 0738 0738

Footnotes: Miscellaneous references on absorption coefficients, high pressure line widths, foreign gas broadening and line shapes include: 0036, 0049, 0105, 0138, 0139, 0246, 0797, 1036, 1094,

1511, 1682, and 1684.

-»* Rough averages of discordant results, where g^, g|, g^ , g^ are the splitting factors for

the free electron, the electron spin in the molecule, the molecular electronic orbital moment, and the molecular rotational moment, respectively.

Two lines were observed in the range 60,170-60,180 Mc/sec and theoretical computation gave 60,172 and 60,179 for the respective lines. Frequency reported 60240-250 Mc/sec, while theory gave 60250, 60251 for the respective lines. Line width parameter is a weighted average from 0500, 0797, and 1958.

56
Line Widths

300°K

Mr" /mm Mc/nun

1^+ 2 « 08 \ 1 • y 1 2 ^ 03 Oq 1 • y4 °+ 1 77 0

1 ft Q 1 . 0 Z ^+ X • O O i 1 . o4

Q J. DO y _ 1.86

1 1 1 7fl 1

1

1.97

1 Q 13+ 11 • 04 lo 1.86 ^°+ 1,77 15 1 . 99 1^ 1.50 17_ 1.79 13+ 1.58 19_ 1,77 21+ 21_ 1.26 23+ 1.26 23_ 1.49 Values

0797,

averaged from 1958,

0500, 0855, 1959, 1960

193 °K Line Mc/nun 1_ 4.7

0380

90 Line Mc/nun 1_ 5.80

1+ 5.63

3+ 5.77

5+ 5.22 7_ 5. 52 9_ 4.55

0855

Magnetic Resonance Widths

Av/P in Mc/nun Transit ion iv/P

Ogat

Av/P

O2 at Av/Pair at N J M 300°K 78 °K 78 "K

1 I -l->0 2.35 ±0.10

6 ±013

3 6. 13 ±0. 3

1 2 l->2 2.20

±0. 10

6. ±0

00

2 6.02

±0. 3

1 2 0-»l 5. 92

q0

1 2 -l-»0 2.23

±0. 14

6. ±0. 20

1 6.21 ±0.2

3 2 0-»-l 5. ±0.

93

3 6.63 ±0.3

3 4 -l-*0 2.00 ±0.10

5. ±0. 70

3

6. 12 ±0.3

5 4 0-^1 6. ±0.

0

5

5 6 -1-K) 5. ±0.

5

3 1079

Zeeman constants

g|/gs-l

g/gs

gj/gg

-1.6x10

1.5x10 6.4x10

-3

-5

1959, 1960, 1078, 0855

Molecular

Isotope

Rotation

J,N -J,N

Vibrat ion V

Elect

ronic

1 ^11 F

M ^1

p"

VMc/ sec

Intensity cm-l

300° 195° Ref

qI^

"2 1,1^0,1 ground Hg 118750.5 ±0.5 71.E-07 19.E-06 0900

3,3*-2,3 ground 3s- 62486,255 ±0.010 ll.E-06 27.E-06 1958

5 , 5«-4 , 5 ground

R 60306.044 ±0.010 16.E-06 38.E-06 1958

7 , 7*-6 ,

7

ground 3zg 59164.215 ±0.010 19.E-06 40.E-06 1958

57
Isotopic

Molecular

Species

Rotation

J,'nVj"n"

Vibration

V

Elect

ronic

1 t F f"

VMc/ sec

Intensity cm-"'' 300° 195° Ref

9,9-8,9 ground a& 58323.885 ±0.010 19.E-06 36.E-06 1958 11,11-10,11 ground cr 57611.4 ±0.2 17.E-06 27.E-06 0960 13,13-12,13 ground p- 56970.8 ±0.4 14.E-06 19.E-06 0900 15,15-14,15 ground H- 56364.1 ±0.4 ll.E-06 12.E-06 0900 17,17-16,17 ground H- 55784.6 ±0.4 76.E-07 64.E-07 0900 19,19-18,19 ground HE 55221.6 ±0.4 50.E-07 32.E-07 0900 23,23-22,23 ground 54129.4 ±0.4 18.E-07 61.E-08 0900 25,25-24,25 ground 0

B 53599.4 ±0.8 97.E-08 23.E-08 0900

1,1-2,1 ground 56265.4 ±0.6 63.E-07 17.E-06 6900 3,3-4,3 ground 58446.580 ±0.010 16.E-06 41.E-06 1958

5,5-6,5 ground 59590.9 78 ±0.010 22.E-06 53. £-06 1958

7,7-8,7 ground 60434.776 ±0.010 25.E-06 54.E-06 1968

9 ,9-10,9 ground 61150.570 ±0.010 26.E-06 48.E-06 1958

11,11-12,11 ground 61800.155 ±0.010 23.E-06 38.E-06 1958

13,13-14,13 ground 62411.223 ±0.010 20.E-06 26.E-06 1958 15,15-16,15 ground a 62996.6 ±0.2 15.E-06 16.E-06 0900 17,17-18,17 ground 63568.520 ±0.010 ll.E-06 93.E-07 1958

19,19-20,19 ground H- 64128-.0 +0.8 75.E-07 48.E-07 0900

21,21-22 ,21 ground H- 64678.2 ±0.2 47.E-07 23.E-07 0900 23,23-24,23 ground 65224.120 ±0,2 28.E-07 96.E-08 1958

3,3-4,3 ground H-cr6 58900 ±% 63.E-12 15.E-11 0445

5,5-6,5 ground cr 59810 ±2 90.E-12 21.E-11 0445

5,5-4,5 ground 59875 +2 60.E-12 15.E-11 0445

7,7-6,7 ground

E 58965 ±2 72.E-12 15.E-11 0445

4,4-5,4 ground

g 11/2

13/2

13/2

15/2

59250

59398

14.E-10 35.E-10

18.E-10 43.E-10

0737

5,5-6,5 ground 3^-

g 5/2 7/2

7/2 9/2

59359 59431

73.E-11 17.E-10

89.E-11 21.E-10

0737

58
Isotopic

Mole cular

Spec ies

Rotation

II 11 n J,N •^J.N

Vibration

V

Elect

ronic

f' f"

VMc/ secIntensity cTa"^ 300° 195° Ref

5 , 5«-6 , 5 ground

g 11/2

13/2

15/2

13/2

15/2

17/2

59627

59748

59889

13.E-10 31.E-10

16.E-10 37.E-10

19.E-10 45.E-10

0737

6 , 6<-7 ,

6

ground

g 7/2 9/2 59790 90.E-11 20.E-10 0737

11/2

9/2

13/2

15/2

13/2

11/2

15/2

17/2

59956

59864 60060

60180

12.E-10 28.E-10

ll.E-10 24.E-10

15.E-10 33.E-10

17.E-10 38.E-10

7 , 7<-8 ,

7

ground

R 9/2 11/2 60170 lO.E-10 22.E-10 0737

5 , 5<-4 , 5 ground

g 15/2

13/2

13/2

11/2

59989 60130

14.E-10 33.E-10

ll.E-10 27.E-10

0737

6 , 6<-5 ,

6

ground

g 17/2 15/2 59385 15.E-10 33.E-10 0737

13/2

11/2

11/2

9/2

59638 59737

lO.E-10 23.E-10

86.E-11 19.E-10

7 , 7«-6 , 7 ground

g 11/2

9/2

9/2

7/2

59322

59390

82.E-11 18.E-10

70.E-11 15.E-10

0737

6 ,6<-5,6 ground

g 15/2 13/2 59519 12.E-10 28.E-10 0737

5 , 5*-6 , 5 ground

g 9/2 ll/2 59 519 ll.E-10 26.E-10 0737

5 , 5<-4 , 5 ground

R 11/2 9/2 60245 90.E-11 21.E-10 0737

7 , 7'<-8 .

7

ground

g 11/2 13/2 60245 12.E-10 25.E-10 0737

3 , 3*-4 ,

3

ground 32-

R 58650 ±2 32.E-09 ei.E-09 0445

4 ,4<-5,4 ground 32-

g 59220 ±2 39.E-09 95.E-09 0445

5 , 5<-6 , 5 ground 32-

g 59685 ±2 44.E-09 lO.E-08 0445

6 ,6<-5,6 ground 59 540 ±2 35.E-09 79.E-09 0445

7 , 7*-6 , 7 ground

R 59075 +2 37.E-09 80.E-09 0445

8 , 8'^7 ,

8

ground 32-

g 58670 ±2 38.E-09 77.E-09 0445

59
Isotoplc Molecular

Species

Rotation

j'ir'<-j"N"

Vibration

V

Elect ronic

1 F,

1

1 F

tt P

p"

VMc/ sec

Intensity cm"''^ 300° 195° Ref

9,9<-8,9 ground

g 58310 ±2 38.E-09 72.E-09 0445

60
KBr Potassium bromide 2.82 07 / 0-

©

Isotopic

Molecular

Species

Av/p

Mc/mm Debye

Be

Mc/ sec

"e cm

^01 Mc/ sec

~^02 Mc/ sec

-Y- , =a 11 e Mc/ sec

^21 Mc/ sec

eqQ(K) Mc/sec

V = 0 10.41 ra 2434.953m {231} 2434.947 0.001 12.136 0.023 -5.003

j,39b^81 2415,081m {231} 2415.075 0.001 11.987 0.022 -5.002

References 0684 0684 9900 0684 0684 0684 0684 0684

Isotopic

Molecular

Species

eqQ(K) Mc/sec

V = 1 V = 2

eqQ(Br) Mc/sec

v=0 v=l v=2

g-39g^79 ^.894 -4.915 +10.244 +11.224 +12.204 k39b^81 + 8.555 References 0684 0684

Footnote: For validity of computed intensities see introductory remarks on hyperfine splitting.

Isotopic

Molecular

Species

Rotation

1 It J <-J

Vibrat ion

V

t ^1t F

It

''l

„ F

VMc/ sec

Intensity cm

300° 195°

Kei

k39b^79 ground 3/2 2 3/2 3 48 54.856 25.E-08 80.e-08 0684

3/2 3 3/2 3 48 56.588 OO.E-08 32.fc-07

5/2 2 3/2 3 4857.383 18.E-09 57.b-09

5/2 4 3/2 3 4857.502 16.e-07 52.E-07

5/2 3 3/2 3 48 59.740 25.E-08 80.t-08

1/2 2 3/2 3 4860.523 63.E-08 20.b-07

1 3/2 2 3/2 3 4830.463 82.E-09 l'(.b-08 0684

3/2 3 3/2 3 4832.362 33.E-08 58.t-08

5/2 2 3/2 3 4833.143 58,E-10 lO.t-09

5/2 4 3/2 3 4833.270 52.E-08 93.t-08

5/2 3 3/2 3 4835.743 a2.E-09 14.E-08

1/2 2 3/2 3 4836.530 20.E-08 36.E-08

2 3/2 2 3/2 3 4806.153 27.E-09 26.E-09 0684

3/2 3 3/2 3 4808.247 ll.E-08 lO.E-08

61
Isotopic

Molecular

Species

Rotation

1 11 J •^J

Vibration

V

t ^1t F ^1 F

VMc/ secIntensity cm~^

300° 195° Ref

l<-0 2 5/2 2 3/2 3 4808.990 19.6-10 19.t-10 0684

5/2 4 3/2 3 48 09.129 17.E-08 17.t-08

5/2 3 3/2 3 4811.835 27.E-09 26.E-09

1/2 2 3/2 3 4812.622 67.E-09 65.t-09

l*-0 ground 3/2 2 3/2 3 4815.635 2'i.E-08 77.E-08 0684

3/2 1 3/2 0 4815.884 17.e-08 55-E-08

3/2 3 3/2 3 4817.056 95.E-08 3l.t-07

5/2 2 3/2 3 4817.909 17.E-09 55.t-09

5/2 4 3/2 3 4817.992 15.E-07 49. £-07

5/2 1 3/2 0 4818. 143 26.E-08 82.E-0b

5/2 3 3/2 3 4819 .815 2'..E-08 77.t-08

1/2 1 3/2 0 4820.130 85.t-09 27.E-0b

1/2 2 3/2 3 4820.613 60.E-08 19.t-07

1 5/2 3 3/2 3 4793.140 78.E-09 14.t-06 0684

1/2 2 3/2 3 4794.062 20.E-08 35.t-06

KCl Potassium chloride , Z. CbCi, A &-—<S)

Isotopic

Molecular

Species

tv/p

Mc/ mm Debye

Be

Mc/ sec

"e

-1 cm

^01 Mc/ sec

^^02 Mc/sec

-Yll-«e Mc/ sec

^21 Mc/ sec

eqQ(K) Mc/sec

V = 0 V = 1 K^^Cl^^ 10.48 m 3856.399m { 28 0} 3856.370 0.003 23.680 0.050 -5.656 -5.622

jj.39j,j^37 3746 .611m {28 0} 3746.583 0.003 22.676 0.047 -5-.660 -5.628 K^lci^S 3767.421m f 280} 3767.394 0.003 22.865 0.048 -6.899 -6.840 References 0722 0722 9900 0722 0722 0722 0722 0722

62
Isotopic Molecular

Spec ies

eqQ(K) Mc/sec

V = 2 V = 3

|eqQ(Cl)| Mc/sec

v=0 v=l v=2 v=3

Addit ional Micpowave References

-5.571 -5.511 <0.040 0.075 0.237 0.393 0858, 0527

0938, 1728 ^lci35 1452 References 0722 0722

Isotopic

Molec ular

Spec ies

Rotation

J •'-J

Vibration

V

1 P

'^l

1 F

p"

•^1 f"

VMc/ sec

Intensity cm

''^

300° 195° Ref

l*-0 ground 3/2 0 3/2 0 7687.942 0. 0. 0722

3/2 1 3/2 0 7687.942 12.E-07 37.t-07

3/2 2 3/2 3 7687.942 17.E-07 52.t-07

3/2 3 3/2 3 7687.942

total intensity

66.E-07 2l.b-06

94.E-07 29.fc-06

5/2 3 3/2 3 7689.356 17.E-07 52.fc-07

5/2 1 3/2 0 7689.356 18.E-07 55.fc-07

5/2 2 3/2 3 7689.356 12.E-08 37.t-08

5/2 4 3/2 3 7689.356

total intensity

ll.E-06 33.t-06

14.E-06 A't.t-06

1/2 1 3/2 0 7690.487 59.E-08 l8.fc-07

1/2 2 3/2 3 7690.487

total intensity

'tl.E-07 13.fc-06 47.6-07 15.t-06

1 3/2 1 3/2 0 7640.783 30.E-08 46.e-08 0722

3/2 2 3/2 3 7640.783 43.E-08 6A.t-08

3/2 3 3/2 3 7640.783

total intensity

17.E-07 26.E-07

24.E-07 37.fc-07

3/2 1 3/2 0 7640.79 5 30.E-08 46. £-08

3/2 2 3/2 3 7640.795 43.E-08 64.E-08

3/2 3 3/2 3 7640.79 5 total intensity

17.E-07 26.t-07

24.E-07 37.t-07

I

63
Isotopic Molecular

Species

Rotation

1 " J <-J

Vibration

V

^1 f' f^l f"

VMc/ secIntensity cm""'^ 300° 195" Ref

l«-0 1 5/2 1 3/2 0 7642.200 46.6-08 69,6-08 0722

5/2 2 3/2 3 7642.200 30.E-09 46.C-09

5/2 3 3/2 3 7642.200 43.6-08 64.6-08

5/2 4 3/2 3 7642.200

total intensity

27.6-07 41,6-07

37.E-07 55.6-07

1/2 1 3/2 0 7643.316 15.6-08 23.6-08

1/2 2 3/2 3 7643.316

total intensity

11.6-07 16.6-07

12.6-07 18.6-07

2 3/2 1 3/2 0 7593.830 79.E-09 58.E-09 0722

3/2 2 3/2 3 7593.830 ll.E-08 81.6-09

3/2 3 3/2 3 7593.830

total intensity

44.E-08 32.6-08 63.E-08 46.6-08

3/2 1 3/2 0 7593.868 79.6-09 58.6-09

3/2 2 3/2 3 7593.868 11. 6-08 81.6-09

3/2 3 3/2 3 7593,868

total intensity

44.E-08 32.6-08 63.E-08 46.6-08

1/2 1 3/2 0 7596.347 39.6-09 29.6-09

1/2 2 3/2 3 7596.347

total intensity

28.6-08 20.6-08

31.6-06 23.6-08

3 3/2 1 3/2 0 7547.073 20.E-09 72.6-10 0722 3/2 2 3/2 3 7547.073 28.E-09 10.6-09

3/2 3 3/2 3 7547.073

total intensity

11. 6-08 40.6-09

16.6-08 58.6-09

3/2 1 3/2 0 7547.136 20.6-09 72.6-lC

3/2 2 3/2 3 7547.136 28.6-09 10.6-09

3/2 3 3/2 3 7547. 136 total intensity

11.6-08 40.6-09

16.6-08 58.6-09

1/2 1 3/2 0 7549.569 lO.b-09 36.6-10

64
Isotopic Molecular

Species

Rotation

J «-J

Vibration

V

1 1 FII \11 F

VMc/ sec

Intensity cm~^

300° 195°

Ref

1-0 3 1/2 2 3/2 3 7549.569

total intensity

71.E-09 81.E-09

25.fc-09 29.E-09

0722

3*-2 ground 23067,5 +0.5 IS-E-Cf '»7-E-0<i 0938

1 22925.4 ±0.5 39.E-05 59-fc-05 0938

2 22785.2 ±1.0 lO.e-05 74.t-06 0938

3 22644.0 ±2.0 26.E-06 93.E-07 0938 13-12 ground 99929.450 ±.016 ll.E-02 33.E-02 1452

1 99316.456 ±.016 29.E-03 42.E-03 14 52 1-0 ground 3/2 0 3/2 0 7469.370 0. 0. 0722

3/2 1 3/2 0 7469.370 35.E-08 ll.E-07

3/2 2 3/2 3 7469.370 '9.E-08 15. £-07

3/2 3 3/2 3 7469.370

total intensity

20.E-07

28.E-07

62.E-07

88.E-07

5/2 1 3/2 0 7470.776 53.E-08 17.E-07

5/2 2 3/2 3 7470.776 35.e-09 ll.E-08

5/2 3 3/2 3 7470.776 49.E-0e 15.E-07

5/2 4 3/2 3 7470.776

total intensity

32.E-07 42.E-0799.E-07

13.E-06

1/2 1 3/2 0 7471.917 18.E-08 55.E-08

1/2 2 3/2 3 7471.917

total intensity

12.E-07

14.E-07

39.E-07

4<f-b-07

1 1/2 1 3/2 0 7426.754 46.E-09 69.E-09 0722

1/2 2 3/2 3 7426.754

total intensity

32.E-08 36.E-08

'iB.E-08 55.E-08

3-2 ground 22410.3 ±1.5 'tb.t-05 14.E-04 0938

1 22278.0 ±3.0 12.E-05 18.E-05 0938

g.41(,^35 1-0 gro und 3/2 0 3/2 0 7510. 555 0. 0. 0722

3/2 1 3/2 0 7510.555 82.E-09 25.t-08

65
Isotopic

Molecular

Species

Rotation

1 II J •KT

Vibrat ion

V

t ^11 F ^1 f"

VMc/ sec

_1 Intensity cm

300° 195° Ref

^41^,35 1-0 ground 3/2 2 3/2 3 7510. 555 ll.e-08 36.E-08 0722

3/2 3 3/2 3 7510. 555 total intensity

46.e-08 14.e-07 65.6-08 20.6-07

5/2 1 3/2 0 7512.280 12.6-08 38.6-08

5/2 2 3/2 3 7512.280 82.6-10 25-t-09

5/2 3 3/2 3 7512.280 11.6-08 36.t-08

5/2 4 3/2 3 7512 .280 total intensity

74.6-08 23.6-07

98.6-08 31.6-07

1/2 1 3/2 0 7513.659 41.6-09 13.6-08

1/2 2 3/2 3 7513 , 659 total intensity

29.6-08 89.6-08

33.6-08 lO.fc-07

1 1/2 1 3/2 0 7468. 107 ll.E-09 16.6-09 0722

1/2 2 3/2 3 7468.107

total intensity

74.6-09 H.6-08

84.6-09 13.6-08

KI Potassium iodide 3 0H7Sk

Isotopic

Molecular

Species

Av/p

Mc/ mm Debye

Be Mc/ sec

"e cm

^01

Mc/ sec

°e Mc/ sec

D

e kc/ sec

eqQ(I)

Mc/sec

Ye kc/ sec

(i) X

e e -1 cm

I 10-40gcm2

g.39j.l27 11.05 m 1825.012m 212 1825.006 8.0337 1.03 -60±10 12.21 0.5 277.00945

j,41jl27 1756.903 References 0858 0858 9900. 0858 0858 0858 0858 08 58 08 58 0858

Isotopic

Molecular

Species

Rotation

j'-j"

Vibrat ion V

1 ^1

t F f"

VMc/ sec

Intensity cm""*" 300° 195° Ref

jj.39j.127 5<-4 ground 18209.77 ±0.10 9'). 6-05 31 .6-04 0858

66
Isotopic

Molecular

Species

Rotat ion

J <-J

Vibration

V

t 1 F

M 11 F Mc/ sec

Tntf»nQ^^'v otn ^

300° 195° Ref

jj.39jl27 5-4 1 18129.61 ±0.20 3«.lr-05 64.t-0b 08 58 6-5 ground 21851.32 ±0.10 l6.e-0'« 53.fc-01 0858

1 21755.19 ±0.10 59.6-05 ll.E-O't 08 58

2 21659.38 ±0.10 2l.e-05 23.E-05 0858

3 21563.91 ±0.10 76.E-06 48.t-06 0858

5 21373.63 ±0.10 97.E-07 20.6-07 0858

6 21279.07 ±0.10 35.E-07 42.6-08 0858

7 21184.73 ±0.10 13.E-07 68.E-09 0858

7-6 ground 25492.81 ±0.15 26.E-04 84.E-0't 08 58

1 25380.71 ±0.15 93.E-05 17.E-0'f 0858

2 P5268 95 +0 15 33-F-n5 t--n5 08 58

3 25157.04 ±0.30 12.E-05 75.E-06 0858

jj41jl27 6-5 ground 21036.78 ±0.10 11. 6-05 35.6-05 0858

RbBr Rubidium bromide

Z 9tf8 ^

Isotopic

Molecular

Species

iv/p

Mc/mm Debye Mc/ sec

"e cm

^01 Mc/ sec

a

e Mc/ sec

D

e kc/sec

Ye kc/ sec

0) X

e e -1 cm

I lO-^Vm'

Rb^^B^^g 9.925 c 1424.840m 181 1424.8342 5.5782 0.45 7.9±1.1 0.35 354.8006

Rb^^Br^^ 1406. 594y 1406.5944 5.461

Rb«^Br'^9 1409. 057y 1409.0573 5.4744 References 0858 0858 0858 0858 0858 0858 08 58 0858 0858

Isotopic

Molecular

Species

Rotation

1 M J -J

Vibration

V

f 1 F f"

VMc/ sec

Intensity cm

^

300° 195° Ref

Rb^^Br^g 8-7 ground 22752.29 ±0.10 53.6-05 18.6-04 0858

67
Isotopic

Molecular

Species

Rotation

1 II J *^

V A.IJI a, L J.UI1

1 •^11 F

tl ^1

It F

J-ll Lxi llo J. L y K^UL Ref

9*-8 ground 25596.03 ±0.10 08 58

1 25495.98 ±0.10 0858

2 Uo Oo

3 25296.52 ±0.10 5^ • E — 06 'tA • t —06 08 58

4 25197.32 ±0.10 23.E-06 12.b-06 0858

Rb^^Br^''' 9<**8 gr*o und. uo oo

1 "^n F — fi^ F— n*i 0858

2 9sn79 fi^ +0 in 1 7 F— OS 1 A F—ns 0858 Rb^V^^ 9*-8 ground uo oo

1 25214.65 ±0.10 12.E-05 24.E-05 0858

2 25116.57 ±0.10 0858

RbCl Rubidium chloride

Isotopic

Molecular

Species

Av/p

Mc/mm

[> Debye

Be Mc/ sec

^e cm

^01 Mc/ sec

11 e Mc/sec

^21 Mc/ sec

eqQ(Rb) Mc/sec

v=0 v=l v=2

Rb^^Cl^^ 9.450 c 2767.414m {253} 2627.394 13.601 0.021 -52,675 -52.306 -51.903

Rb^'^Cl^^ 2609. 799y {253} 2609.779 13.464 0.021 -25.485 References 0858 0944 9900 0944 0944 0944 0944

Isotopic

Molecular

Species

eqQ(Cl) Mc/sec

v=0 v=l v=2

C(Rb)

(v=0)

kc/ sec

C(C1)

(v=0)

kc/ sec

I 10-*Vm2

Rb^^Cl^^ +0.774 +0.612 +0.470 +0.3±0.3 0.0±0.8 192.4077

Rb^'^Cl^^ References 0944 0944 0944 0858

(5>—-€)

68
Isotopic Molecular

Species

Rotation

t II J «-J

Vibration

V

t ^11 F ^1

p"

VMc/ sec

Intensity cm

^

300° 195° Ref

l*-0 ground 5/2 3 5/2 4 5232.671 002 -ifc.t-Ofi 0944

5/2 2 5/2 1 5232 750 +

.

002 13.E-08 43.t-08

5/2 4 5/2 4 5232 809 +

.

002 l2.t-07 3b .b-07

5/2 1 5/2 1 5232 889 +

.

002 31.t-C8 99^t-0e

7/2 2 5/2 1 5243. 745 002 6O.E-0e l9.b-0 1

7/2 5 5/2 4 5243 788 +

.

002 lfc.£-07 52 .t-07

7/2 3 5/2 4 52 43 855 022 53. £-10 l7.t-09 7/2 4 5/2 4 5243 905 002 14.E-08 At. £-08

3/2 1 5/2 1 5248 566 +

.

002 13. £-08 43.e-08

3/2 3 5/2 4 5248 566 +

.

002 90*t-CLS .23^t-07 total intensity 1 r F— r 7

3/2 2 5/2 1 5248 596 002 J 5 • £-09

1 7/2 2 5/2 1 5216 630 002 U3.E-08 29.E-08 0944

7/2 5 5/2 4 5216 440 + . 002 48.6-08 80 .E-08

7/2 3 5/2 4 5216. 712 + , 002 16-E-lO 26.E-10

7/2 4 5/2 4 5216.752 002 A2.E-09 7C ,£-09

3/2 3 5/2 4 5221.395 + , 002 26-E-08 44 .£-08

3/2 1 5/2 1 5221. 395 + . 002 40.fc-09 65.E-09

total intensity 3C.E-C8 5c,£-oe

3/2 2 5/2 1 5221, 421 002 44.E-10 73. £-10

2 7/2 2 5/2 1 5189. 587 +

.

0025 52.E-09 44 .£-09 0944

7/2 5 5/2 4 5189. 616 0025 14.E-08 12. E-08

7/2 3 5/2 4 5189. 656 0025 46.E-11 40. £-11

7/2 4 5/2 4 5189. 681 0025 12.E-09 11. £-09

3/2 1 5/2 1 519 4. 306 + . 0025 12.E-09 10. £-09

69
Isotopic

Molecular

Species

Rotat ion

) II J -^J

Vibrat ion V

f f'l

1 F

11 F

VMc/ secIntensity cm""'- 300° 195° Ref

Rb^^Cl^S 1+-0 2 3/2 3 5/2 4 5194.306 ±.0025

total intensity

7A.e-09 67,t-09

89-E-C9 77.E-09

0944

1-K) ground 3/2 3 3/2 3 5201.032 +.002 47.6-08 15.E-07 0944

3/2 1 3/2 0 5201.032 ±.002

total intensity

85.E-09 27.E-08

56.E-08 l8.t-07

5/2 2 3/2 3 5207.389 ±.002 85.E-10 27.E-09

1/2 2, 3/2 3 5212.474 +.002 30.e-08 94.b-08

1/2 1 3/2 0 5212.474 ±.002

total intensity

43.e-09 13.E-08 34.E-08 ll.E-07

5/2 4 3/2 a 5247.332 ±.002 78.E-08 25.E-07

Rbl ^ Rubidium iodide 3.174)9 A

Isotopic

Molecular

Species

Av/p

Mc/mm Debye

Be Mc/ sec cm

^01 Mc/ sec

a

e Mc/ sec kc/sec

D

e kc/ sece e -1 cm

I

e 10 gem g^85jl27 9.762 c 984.3166m 147 984.3137 3.2806 2.98 0.234 0.25 513.5883

jj^87jl27 970.7601y 970.7601 3.2135 References 0858 08 58 0858 0858 0858 0858 08 58 0858 0858

Isotopic

Molecular

Species

Rotation

1 11 J <-J

Vibrat ion

V

1 1 F f"

VMc/ sec

Intensity cm

^

300° 195° Ref

jjj^85jl27 ll'^lO ground 21617.58 +0.10 76.E-05 26.E-04 08 58

12t-ll 1 23503.98 ±0,10 48.E-05 ll.E-04 08 58

2 23425.51 ±0.10 24.E-05 38.E-05 0858

13<-12 ground 25547.52 ±0.10 12.E-04 42.E-04 08 58

1 25462.28 ±0.10 '61.E-05 14.6-04 0858

2 25377.33 ±0.10 30.E-05 48.6-05 08 58

70
Isotopic

Molecular

Species

Rotat ion

J «-J

Vibration

V

f t FM M F

VMc/ sec

Intensity cm"'' 300° 195" Ref

13«-12 3 25292.65 ±0.10 l!j.e-05 16.E-05 0858

4 25207.88 ±0.20 72.E-06 54.e-06 0858

5 25123.45 ±0.10 35.E-06 18.t-06 0858

6 25038.99 +0.10

C 17.E-06 60.E-07 0858 Rb^^ll^^ 13'^12 ground 25196.01 +0.10 V6.E-05 l6.E-0^ 08 58

1 25112.84 ±0.10 23.E-05 53.t-05 08 58

2 25029.38 ±0.10 ll.E-05 I8.E-05 0858

NaBr Sodium bromide ,

Isotopic

Molecular

Species

Av/p

Mc/mm

\^ Debye

Be Mc/ sec cm

^ ^01 Mc/ sec

''e Mc/sec kc/sec kc/sec

eqQ(Br)

(v=0)

Mc/ sec

eqQ(Na)

Mc/sec

I 10-40gcm2

Na23Br^9 7.959 c 4534. 52 ra {315} 4534.51 28.25 85±30 7±3 +58±2 -^.68 111.486

Na23Br81 4509.35 m {315} 4509.34 28.06 [84] (4.13) -4.68

References 0858 0858 9900 0858 0858 0858 0858 0858 08 58 0858

Isotopic

Molecular

Species

Rotation

1 n J -J

Vibrat ion

V

1 t F

II ^1

II F

VMc/ sec

Intensity cm

^

300° 195° Ref

Na23Br^9 2<-l ground 3/2 3/2 18070.07 ±.10 34.E-06 lO.t-05 08 58

7/2 5/2 18080.13 ±.10 13.E-05 39.E-05

5/2 3/2 18080.13 ±.10 68.E-06 21.E-05

total intensity 20.E-05 60.t-05

3/2 1/2 18095.95 +.15 27.E-06 82.6-06

5/2 5/2 18095.95 ±.15 29.E-06 89.fc-06 total intensity 56.E-06 17.E-05

1 3/2 1/2 17082.5 ±.8 53.E-07 72.E-07 08 58

71
Isotopic Molecular

Spec ies

Rotation

J *-J

Vibration t 1 11 V Intensity cm"''' F f" Ref

V Mc/ sec 300 o 19 5

o

1 5/2 5/2 17082. 5 + 8 57. e -07 77 .E -07 0858 total intensity 11. E -06 15 .E -06

7/2 5/2 17963. 42 + 20 28. E -06 38 .t -06

5/2 3/2 17968. 42 + , 20 15. E -06 20 .t -06

total intensity 43. E -06 58 . b -06

2 7/2 5/2 17856. 57 + 10 61. E -07 37 .£ -07 08 58

5/2 3/2 17856. 57 + 10 32. E -07 19 .£ -07

total intensity 93. E -07 56 .E -07

1 9/2 7/2 26952. 98 +

10 84. £ -05 11 .£ -05 08 58

7/2 5/2 26952. 98 10 58. E -06 78 .£ -06

total intensity 14. E -05 19 .t -05

5/2 3/2 269 56. 30 +

30 38. E -06 51 .E -06

3/2 1/2 269 56. 30 + . 30 24. fc -06 32 .t -06

total intensity 62. E -06 83 .E -06

2 9/2 7/2 26785. 63 + . 10 18. E -06 11 .£ -06 0858

7/2 5/2 26785. 63 10 13. E -06 76 .£ -07

total intensity 31. £ -06 19 .E -06

5/2 3/2 26789. 51 30 83. E -07 49 .E -07

3/2 1/2 26789. 51 30 52. E -07 31 .£ -07

total intensity 13. E -06 80 .E -07

3 9/2 7/2 26621. 8 +8 40. E -07 11 .£ -0 7 0858

7/2 5/2 26621. 8 ,+

8 28. E -07 73 -£ -08

total intensity 66. E -07 16 .E -07

4 9/2 7/2 26455. 8 +8 88. E -08 10 .E -08 0858

7/2 5/2 26455. 8 8 60. E -08 71 .£ -09

total intensity 15. E -07 17 .E -08 ground 3/2 3/2 17971. 0 + . 5 33. E -06 10 .E -05 08 58

7/2 5/2 17980. 48 20 12. E -05 38 .£ -05

2fl

3<-2

2'Hl

72
Isotopic Rotation ViDration 1 t II V Intensity cm Molecular ^1 F F Ref

Spe c i 6 s J <-J Mc/ S6C „ 23„ 81 Na Br 2+-1 ground 5/2 3/2 17980.48 ±.20 65.E-06 2O.t-0b 0858

totcil intensity 1 7 • t (J V ^o»c U3

X 7/9 '/ ^ 5/2 08 58

0/ z

1 '7(1 Cfl y1 Q 4- in

total intensity Al [l_r^A l*A U — HA

3<-2 9/2 7/9 01 p — nA 1 1 P — n'^ 08 58 7/9 0/ Z

tiA t — nA 7'^ (-•DA

total intensity lA c — nis IQ r^A

0/ z jO»t~UO C — AA AO*t7»tf — n/. UO

3/2 1/2 26806.32 ±.40 7'\ F-flA "^1 F — flft

total intensity Cf» c ft or, iL !>4.t-"Uo oU«b~Uo

2 9/2 1 / '? IQ c— riA 1 1 c_r\/^ 08 58 7/9 0/=i/9i total intensity iri C — DA Ifl — HA

5/2 3/2 nr. OU*Cc — n7\J 1 HO »XZ — n7\J 1

0/ z

1 /9

total intensity

oo Q /9 7/9 9R/17R n + ft aq C — n7 Ifl F — n7 08 58

7/ ^ 0/ z Z 04 ( 0. U i . 0 total intensity 65.6-07 17.t-07

NaCl Sodium chloride ^ J60t A

Isotopic

Molecular

Species

Av/p

Mc/nun Debye

Be Mc/ sec

(0e cm

^ ^01 Mc/ sec Mc/ sec

Ye kc/sec

D

e kc/sec

eqQ(Na)

Mc/sec

^e 10-4 W

Addnl Micro

Refs Na^^Cl^^ 8.5 m 6537.07 m {380} 6536.86 48.28 [145] (8.60) . -5.40 77.3331 0621

73
Isotopic

Molecular

Species

A v/p Mc/mm Debye

B Mc/ sec

w

e cm

'"

Y„-, 01 Mc/ sec

a

e Mc/ s e c'e kc/sec

D

e kc/sec

enO(Na)

Mc/ sec

I

e

1 0 gem

Addnl

Micro

Refs

Na^^Cl^''' {380} (8.24) -5.40 0938 References 0858 0858 9900 0858 0858 0858 0858 0858 0858 1357

Isotopic

Molecular

Species

Rotat ion

j'^^j"

Vibration

V

1 ^1t Fn "in F

VMc/ sec

Intensity cm

"'"

300° 195° Ref

Na^^Cl^^ 2<-l ground 26051.1 ±0.75 18.e-04 52.E-04 08 58

1 25857.6 ±0.75 28.E-05 31.t-05 08 58

2 25666.5 ±0.75 45.E-06 19.E-06 08 58

3 25473.9 ±0.75 71.E-07 ll.E-07 0858

7<-6 ground 91170.45 ±0.04 73.E-03 21.E-02 1452

Na^^Cl^'^ 2'^1 ground 25493.9 ±0.75 55.E-05 16.E-04 0858

1 25307.5 ±0.75 86.E-06 97.E-06 08 58

2 25120.3 ±0.75 14.E-06 58.fc-07 0858

Nal Sodium iodide 2 7115" K

Isotopic

Molecular

Species

iv/p

Mc/mm

P- Debye

Be Mc/ sec

(0e cm

^01 Mc/ sec

a

e Mc/ sec

Y'e kc/sec

D

e kc/sec

eqQ(Na)

Mc/ sec

I lO^W

Na23ll2 7 7.993 c 3531.778m 286 3531.759 19.439 46.9 (2.39) -3.88 143.138 References 0858 0858 9900 0858 0858 08 58 0858 0858 0858

Isotopic

Molecular

Species

eqQ(I) Mc/sec

v=0 v=l v=2 v=3

Na23ll27 -259.87 -264.52 -267.59 -271.03 References 0858

74
Isotopic Rotation Vibration 1 1 V Intensity cm"''' Molecular ^1 P

p" Ref

Species V

i 1 Mc/ sec 300° 195°

jj^23jl2 7

3<-2 ground 3/2 1/2 21108.64 ±.20 98.E-05 30.fc-04 0858

5/2 3/2 21111.67 ±.20 98-6-05 30.6-04

7/2 5/2 21124.58 ±,20 98.E-05 30.6-04

11/2 9/2 21135.35 ±.20 98.E-05 30.6-04

9/2 7/2 21137.49 ±.20 98.E-05 30.E-04

7/2 7/2 21137.49 +.20 98.E-05 30.6-04

total intensity 20.E-04 61.6-04

3/2 3/2 21141.93 ±.20 98.6-05 30.6-04

5/2 5/2 21148.85 ±.20 98.6-05 30.6-04

1 9/2 9/2 20970.52 ±.20 25.6-05 36.E-05 08 58

7/2 5/2 21008.40 +.20 25.E-05 36.6-05

9/2 7/2 21021.50 +.20 25.E-05 36.6-05

7/2 7/2 21021.50 +.20 25.E-05 36.E-05

total intensity 49.E-05 73.6-05

2 9/2 9/2 20854.59 ±.20 62.6-06 44.6-06 0858

5/2 3/2 20879.61 +.20 62.E-06 44.6-06

7/2 5/2 20892.92 ±.20 62.E-06 44.6-06

11/2 9/2 20903.62 ±.20 62.E-06 44.E-06

9/2 7/2 20906.05 ±.20 62.E-06 44.6-06

7/2 7/2 20906.05 ±.20 62.E-06 44.6-06

total intensity 12.6-05 87.6-06

5/2 5/2 20917.89 ±.20 62.E-06 44.6-06

3 9/2 9/2 20738.98 ±.20 15.6-06 52.6-07 08 58

5/2 3/2 20764.43 ±.40 15.E-06 52.6-07

7/2 5/2 20777.70 ±.20 15.6-06 52.6-07

11/2 9/2 20788.73 ±.20 16.6-06 52.6-07

9/2 7/2 20791.24 ±.20 16.6-06 52.6-07

7/2 7/2 20791.24 ±.20 16.6-06 52.6-07

total intensity 31.6-06 10.6-06

75
Isotopic Rotation Vibrat ion 1 1 n V Intensity cm Molecular 1 II P

'^l f" Ref

Species J <->J /cor* Oyjyj xsJO jj^23jl2 7

3<_2 3 5/2 5/2 08 58

4 7/9 5/2 9nfifi^ fift +9 08 58 11/2 9/2

9/2 7/

9nfi7fi Qfi + 9 ^9-.> — 07 A^ F— OR

7/2 7/2 20676.96 ±.2 39.E-07 63.b-08

total intensity 7e.E-07 13.E-07

TlBr Thallium bromide £ ^1^1 ^

Isotopic

Molecular

Spec ies

Av/p

Mc/mm

M- Debye

Bo Mc/ sec

'^e-1 cm

a

e Mc/sec

D kc/sec

«o Mc/ sec

Mc/sec

v=0 v=l v=2

Ti203b^79 4.49 p 1297.409m [192} 3.934 1295.442 124.5 Tl^O^Br^l 4.49 p 1274.382m [192} 3.872 1272.456 103.1 Ti20 53^79 4.49 p 1293.879m [192} 3.932 1291.912 125.2 123.8 125.8 Ti20 5g^81 4.49 p 1270.805m ( 192} 3.824 0.247 1268.894 105.2 104.5 106.2 References 1732 1449 99 00 1449 1449 1449 1449

Isotopic

Molecular

Species

eqQ(Br) Mc/sec

V = 3 V = 4

Additional

Microwave

References

Ti2033^79 1035 Ti203g^81 1341 Ti2053^79 132.8 125.8 Ti2053^81 104.1 105.5 Ref erences 1449

76
Isotopic Molecular

Spec ies

Rotation Vibration

Mc/ sec

Intensity cm

300° 195

-1

Ti203b^79 4*-3

9<-8

ground 11/2

9/2

7/2

5/2

9/2

7/2

5/2 3/2

10362.

10362, total

10366,

10366, total

63 ±0.03

63 ±0.03

intensity

24 ±0.04

24 ±0.04 intensity

15.E-07

ll.E-07 26.E-07

B't.t-Oa 63.E-0a

15.E-07

48. E-07 37.E-07 86.E-07 28.E-07

21.E-07

49. E-07

11/2

9/2

9/2

7/2

10331.

10331, total

16 ±0.04

16 ±0.04

intensity

58.E-08 44.E-08

lO.E-07

12.t-07 89.E-08

21 .t-07 ground 23317.65 ±0.10 49.E-06 16.fc-0b 23246.83 ±0.20 20.E-06 39.t-06 23175.68 ±0.20 77.E-07 9<f.E-07 Ti203b^81 4<-3

9<-8

ground 11/2

9/2

7/2

5/2

9/2

7/2

5/2 3/2

10178.

10178. total

10181.

10181. total

87 ±0.04

87 ±0.04

intensity

86 ±0.06

86 ±0.06 intensity

14.E-07

lO.E-07

2'..E-07 78.E-08

58.E-08

14.E-07

*5.E-07

34. t-07

79.E-07

26.E-07

l9.fc-07 45.C-07

11/2

9/2

9/2

7/2

10147.

10147. total

89 ±0.04

89 ±0.04 intensity

54.E-08 41.E-08

95.6-08

ll.E-07

83.fc-08 19.E-07 ground 22903.48 ±0.10 46.E-06 15.E-05 22834.13 ±0.20 18. £-06 36.t-06

4'^-3 ground 11/2

9/2

7/2

5/2

9/2

7/2

5/2 3/2

10334.

10334. total

10337,

10337, total

35 ±0.03

35 ±0.03 intensity

98 ±0.03

98 ±0.03 intensity

35.E-07

27.E-07

61.E-07

20.E-07

15.E-07 35.6-07

11. E-06 88.E-07 20.E-06

66.E-07 49.6-07

12. E-06

77
Isotopic Molecular

Species

Rotation Vibration 1 1 II 11 V Intensity cm"'''

» n F

'l F Ref

J <-J V Mc/ sec 300° 195°

4<-3 1 11/2 9/2 10302.91 ±0.03 14-E-07 28. £-07 1449

9/2 7/2 10302.91 +0.03 lO.E-07 21.E-07

total intensity 2'i.E-07 '9.E-07

7/2 5/2 10306.50 ±0.03 79.E-08 16.6-07

5/2 3/2 10306.50 ±0.03 59.E-08 12.E-07

total intensity 14.E-07 28.t-07

2 11/2 9/2 10271.55 ±0.03 54.E-08 67. £-08 1449

9/2 7/2 10271.55 ±0.03 41.E-08 51-E-08

total intensity 96.E-08 12.E-07

7/2 5/2 10275.20 ±0.03 31.E-08 38.fc-08

5/2 3/2 10275.20 ±0.03 23.E-08 29. £-08 total intensity 54.E-08 67.E-08

3 11/2 9/2 10240.21 ±0.03 21.E-08 16.E-08 1449

9/2 7/2 10240.21 ±0.03 16.E-08 12. £-08 total intensity 38.E-08 28. £-08

7/2 5/2 10243.80 ±0.03 12.t-08 92.E-09

5/2 3/2 10243.80 ±0.03 92.E-09 69.E-09

total intensity 22.E-08 16.E-08

4 11/2 9/2 10208.93 ±0.03 85.E-09 39.E-09 1449

9/2 7/2 10208.93 ±0.03 65.E-09 30.E-09

total intensity 15. £-08 68.E-09

7/2 5/2 10212.58 ±0.04 49.E-09 22.E-09

5/2 3/2 10212.58 ±0.04 36.E-09 17. £-09

total intensity 85.E-09 39.E-09

6<-5 ground 15/2 13/2 15502.55 ±0.10 ll.E-06 36. £-06 1425

13/2 11/2 15502.55 +0.10 91. £-07 30.E-06.

total intensity 20. £-06 66.E-06

11/2 9/2 15503.79 ±0.20 76.E-07 25.t-06

Ti205g^79

78
Isotopic Rotation Vibration 1 » M It V Intensity cm"''' Molecular

1 " ^1 F ^^1 F Ref

Spec ie s J -J V Mc/ sec OV\J ly 0 _-205„ 79 Tl Br 6<-5- ground 9/

2

7/2 15503.79 ±0.20 64 . F — 0 7 2 I . t — 0 6 142 5 total intensity I A • fc — 0 6 46 • t — 0 6

9<-8 ground 23254.06 ±0.05 I 2 • E — 0 5 3 9 . E — 0 5 142 5

1 23183.49 ±0.10 't6. E-06 93.t-06 142 5

2 23112.80 ±0.10 1 8 • E — 06 c t . c u 0 142 5

3 23042.54 ±0.10 72 • E — 07 54 • E — 0 7 1425 „i205„ 81 Tl Br 4*-3 ground 11/2 9/2 10150.36 ±0.03 32 - E— 07 1 1 . t — 0 6 1449

9/2 7/2 10150.36 ±0.03 25. E— 07 8 L « E — 0 7

total intensity 57 • E— 07 1 9 • E — 0 6

7/2 5/2 10153.41 ±0.03 1 8 • E -0 7 61. E— 07

5/2 3/2 10153.41 ±0.03 I'l • E-07 46. E-0 7 total intensity 32 • E -0 7 11. t— 06

1 11/2 9/2 10119.78 ±0.03 13* E—0 7 26 . E — 0 7 1449

9/

2

7/2 10119.78 ±0.03 9 7 . E -08 2 0 • fc — 0 7 total intensity 4 5 . E — 0 7

7/2 5/2 10122.81 ±0.03 7 3 • E —08 1 5 . E-07

5/2 3/2 10122.81 ±0.03 11 t^ — m

total intensity I 3 • E — 0 7 2 6 . E — 0 7

2 11/2 9/2 10089.30 ±0.03 50 • E— 08 62 . t—08 1449

9/

2

7/ 2 10089.30 ±0.03 3 8 • E — 0 8 4 7 . b — 0 8

total intensity 8 9 • E — 08 11. £—0 7

7/ 2 5/2 10092.38 ±0.03 £ ^ • c u 0 36 . £ — 0 8

5/2 3/2 10092.38 ±0.03 22 • £ — 08 27 .£—08

total intensity 51* E—08 62 . E—0 8

3 11/2 9/2 10058.68 ±0.03 20 • E— 08 1 5 . t — 0 6 1449

9/2 7/2 10058.68 ±0.03 1 5» E—08 1 1 .£-08

total intensity 35. E-08 26. E-08

7/2 5/2 10061.70 ±0.03 11. E-08 86.E-09

79
Isotopic Molecular

Spec ies

Rotation Vibration 1 1 IT 1? V Intensity cm""'' F ^1 F Ref

J -J V Mc/ sec 300° 195°

4«-3 3 5/2 3/2 10061.70 ±0.03 85.6-09 64,6-09 1449 total intensity 20.6-08 15.6-08

4 11/2 9/2 10028.30 ±0.03 79.6-09 36.6-09 1449 9/2 7/2 10028.30 ±0.03 60.6-09 27.6-09

total intensity U.6-08 63.6-09

7/2 5/2 10031.36 ±0.04 45.6-09 21.6-09

5/2 3/2 10031.36 ±0.04 34.6-09 15.6-09 total intensity 79.6-09 36.6-09

5 11/2 9/2 9998.00 ±0.03 31.6-09 86.6-10 1449

9/2 7/2 9998.00 ±0.03 24.6-09 66.6-10

total intensity 55.6-09 15.6-09

6 11/2 9/2 9967.35 ±0.08 12.6-09 21.6-10 1449

9/2 7/2 9967.35 ±0.08 94.6-10 16.6-10 total intensity 22.6-09 37.6-10

7 11/2 9/2 9937.15 ±0.10 49.6-10 50.6-11 1449

9/2 7/2 9937.15 ±0.10 37.6-10 38.6-11

total intensity 86.6-10 89.6-11

8 11/2 9/2 9906.80 ±0.10 19.6-10 12.6-11 1449

9/2 7/2 9906.80 ±0.10 15.6-10 92.6-12

total intensity 34.6-10 21.6-11

9 11/2 9/2 9876.60 ±0.15 76.6-11 29.6-12 1449

9/2 7/2 9876.60 ±0.15 58.6-11 22.6-12

total intensity 13.6-10 51.6-12

9*-8 ground 22839.75 ±0.10 11. 6-05 36.6-05 142 5

1 22771.22 ±0.20 43.6-06 86.6-06 1425 ground 25377.53 ±0.05 15.6-05 49.6-05 142 5

Ti20 53^81

r

80
TlCl Thallium chloride

Is 0 1 op ic Molecular

Spe c ie s

Av/p

Mc/nun Debye

Be

Mc/ sec

"e eqQ(Cl)

Mc/sec

'^e Mc/sec

D

Icc /sec

B

0 Mc/sec

Additional

Microwave

-15.8 11.950 9797 QS"^ 0518 Tl203ci3^ 2617.498m {287} 11.175 2611.927 1341 Tl205ci35 4.444 m 2739.978m {28 7} -15.79 11.920 1.112 2734.035 1269 Tl205ci37 2613 . 548m {287} -11.75 11.145 2608.027 1035 References 0518 1449 9900 1449,1425 1449 1449 1449

Isotopic

Molecular

Species

Rotat ion

1 It J o-J

Vibrat ion V

t 1 F ^1 f"

VMc/ sec

Iivtensity cm 300° 195° Ref

Tl203ci3S 2«-l ground 7/2 5/2 109 52 16 ±0.03 38. E-07 12.E-06 1449

5/2 3/2 10952 16 ±0.03 20 . E-07 6 1 . h-0 7

total intensity 58 . E-07 1 B . E-06

1 7/2 5/2 10904 36 ±0.03 94.E-08 14. e-07 1449

5/2 3/2 10904.36 ±0.03 49.E-08 73.E-08

total intensity l't.E-07 21 .E-07

4<-3 ground 21903.16 ±0.20 75.E-06 23.E-05 1425

5*-4 ground 11/2 11/2 27376 62 ±0.10 22. E-07 67.t-07 1425

13/2 11/2 27379. 49 ±0. 10 14.e-05

11/2 9/2 27379. 49 ±0.10 38.E-06 12.6-05

9/2 7/2 27379. 49 ±0. 10 30.e-06 94.6-06

7/2 5/2 27379 49 ±0.10 24.E-06 75.t-06

total intensity 14.E-05 43.E-05

1 13/2 11/2 27260 18 ±0. 10 12.E-06 17. E-06 1425

11/2 9/2 27260 18 ±0. 10 94. E-07 14. E-06

9/2 7/2 27260 18 ±0. 10 76. e-07 11.6-06

7/2 5/2 27260 18 +0. 10 61. E-07 89.6-07

total intensity 35.E-06 51.6-06

81
Isotopic Molecular

Species

Rotation

1 " J "-J

Vibration

V

t 1 F

n ^1 f"

VMc/ sec

Intensity cm

^

300° 195° Ref

Tl203ci35 5<-4 2 13/2

11/2

7/2

11/2

9/2

7/9

5/2

27140,35 ±0.10 27140.35 ±0.10

27140.35 ±0.10

total intensity

29.e-07 20.t-07

24.E-07 l6.h-07

15.E-07 ll.t-07 87.E-07 61.E-07

1425

2*-l ground 7/2

5/2

5/2

3/2

10447,98 ±0,06

10447.98 ±0.06

total intensity

ll.E-07 33.E-07

56.E-08 17.fc-07 16.E-07 50.fc-07

1449

1 7/2

5/2

5/2 3/2

10403.28 ±0.06 10403,28 ±0.06

total intensity

27.E-08 41.fc-0a 14.E-08 22.L-08

42.E-08 63.t-08

1449

gif" oun d 142 5

1 20806,64 ±0,30 54.6-07 82.6-07 1425

5«-4 ground 26119,36 ±0.10 41.E-06 13.E-05 142 5

2*-l ground 7/2

5/2

3/2

5/2

3/2

3/2

10936,48 ±0.02

10936,48 ±0.02

total intensity

10939,30 ±0.02

90.E-07 28.E-06

47.E-07 15.6-06

14.6-06 42.6-06

24.6-07 74.6-07

1449

1 7/2

5/2

5/2

3/2

10888,80 ±0.03

10888.80 ±0.03

total intensity

22.E-07 33.6-07

12.E-07 17.6-07 34.6-07 50.6-07

1449

2 7/2

5/2

5/2 3/2

10841.66 ±0.03

10841.66 ±0,03

total intensity

56.E-08 39.E-08

29.E-08 21.6-08

85.6-08 60.6-08

1449

ground 21872,16 ±0.10 18.6-05 55.6-05 1425

5*-4 ground 27340.51 ±0.10 35.E-05 11.6-04 1425

1 27221.30 ±0,10 87.E-06 13.6-05 1425

2 27102.42 ±0.10 22.E-06 15.6-06 1425

82
Isotopic Rotation Vibration 1 1 V Intensity cm

^ Molecular f n F ^1 f" Kef

Species J -J V

i. 1 Mc/ sec 300° 195°

on K Q7 2-1 ground 7/2 5/2 10432.38 ±0.06 25.E-CJ7 78.b-07 1449

5/2 3/2 10432.38 ±0.06 13.6-07 41.b-07

total intensity 38.E-07 l2.t-06

3/2 3/2 10434.48 ±0.06 67.E-0B 21.t-07

1 7/2 5/2 10387.80 ±0.12 65.E-08 98.t-08 1449

- 5/2 3/2 10387.80 ±0.12 3'>.E-08 51.t-08

total intensity 9g.E-08 15. 6-07

4*-3 ground 20864.11 ±0.20 50.t-06 16.t-05 1425

1 20776.20 ±0.20 13.E-06 19.t-06 1425

5<-4 ground 26079.87 ±0.10 98.E-06 30.E-05 1425

1 25969.04 ±0.20 25.E-06 38.t-06 1425

TIF Thallium fluoride 2 QSf^h

Isotopic

Molecular

Species

Av/p

Mc/mm Debye

Be Mc/ sec

0)e cm~

ae Mc/ secD

e kc/ sec

B

0 Mc/ sec

Ye kc/sec

Addit ional Microwave

References

^j^203jpl9 6695.46 m 47 5} 45.11 6672.90 1035

^j^205pl9 4,2282m 6689.71 m {475} 44.83 5.91 6667.29 130 1341 References 14 54 1449 9900 1449 1425 1449 1449

Isotopic

Molecular

Species

Rotation

J -"-J

Vibration

V

f ^11 F

II F

VMc/ sec

Intensity cm

^

300° 19 5° Ref

^j^203pl9

I'^O ground 13345.80 ±0.06 25.6-06 70.E-06 1449

1 13255.58 ±0.06 25.E-07 21.6-07 1449

2-^-1 ground 26291.86 ±0.10 19.E-05 54.E-05 1425

jj^20 5pl9

l-<-0 ground 13334.58 ±0.04 59.6-06 17.E-05 1449

83
Isotopic

Molecular

Spec ie s

Rotat ion

J *-J

Vibration

V

1 '^l1 F f"

VMc/ sec

Intensity cm""'" 300° 195° Ref

^j^20 5pl9

l*-0 1 13244,92 +0.04 59.t-07 50.e-07 1449

2 13155.78 ±0.06 60.E-03 15.E-08 1449

2«-l ground 26669.76 ±0,10 47. £-05 13.E-04 1425

1 26489.86 ±0.20 47.E-06 40.E-06 1425

Til Thallium iodide ~ Z.Si^sA e--<D

Isotopic

Molecular

Species

Av/p

Mc/nun Debye

Be Mc/ sec

-1 cm Mc/ sec

eqQ(I)

Mc/sec

D kc/sec, Additional

Microwave References

^j^203jl27 4.60 p 817.510 m {150} 1.98 -523 1035

^j^205jl27 4.60 p 814.460 m {150} 1.989 -436.8 0.056 1341 References 1732 1449 9900 1309, 1449 1309, 1449 1449

Isotopic

Molecular

Species

Rotat ion

J •>-J

"Vibration V

t ^1t F f"*^1

II F

VMc/ sec

Intensity cm

"*"

300° 195° Ref

^j^203jl27 6'>-5 ground 15/2 13/2 9801.20 ±0,05 13.e-07 44.E-07 1449

11*-10 ground 17963,2 4U.e-06 14.t-05 1309

1 17919,2 lV.e-06 45.E-06 1309

2 17875,8 94.E-07 15.E-06 1309

3 17831,8 46.E-07 49.E-07 1309

17<-16 ground 27760,25 ±0.30 14.E-05 49.E-05 1425

1 27692.01 ±0.40 70.e-06 l6.e-05 1425

2 27624.02 ±0.20 34.E-06 53.6-06 1425

^j^205j-127 5<-4 ground 9/2 7/2 8131.45 ±0.04 ll.E-07 38.6-07 1449

11/2 9/2 8133.10 ±0.03 14.6-07 48.6-07

15/2 13/2 8136.96 +0.02 22.6-07 75.6-07

84
Isotopic Molecular

SpS C i G S

Rotat ion

J -^-J

Vibration

V

1 ^1

1 F

tt ^1 f"

VMc/ sec

Intensity cm"''' 300° 195° Ref

205,127 ground 13/2 11/2 8138.66 ±0.03 l8.e-07 60.E-07 1449

1 15/2 13/2 8117,06 ±0.03 ll.E-07 25. £-07 1449

2 15/2 13/2 8097.22 ±0.05 51.E-08 8l.t-08 1449

6<-5 ground 9/2 7/2 9755.55 ±0 04 17.E-07 58.fc-07 1449

11/2 9/2 9757.30 ±0 03 21.t-07 71.t-07

7/2 5/2 9758. 18 + 0. 03 14. E-07 48.t-07

13/2 11/2 9761.27 ±0 02 2b,fc-07 86.t-07

17/2 15/2 9763.27 ±0 02 36.E-07 12.E-06

15/2 13/2 9764. 52 ±0 03 30-E-07 lO.t-06

1 9734.0 75.E-07 17.t-06 1309

10<-9 ground 19/2 17/2 16268.26 ±0 10 ll.E-06 37.b-06 142 5

17/2 15/2 16268.26 ±0 10 97.E-07 33. £-06

15/2 13/2 16268.26 ±0 10 87.E-07 30.6-06 total intensity 29.E-06 OO.E-06

25/2 23/2 16270.38 ±0 10 15.E-06 50.t-06

23/2 21/2 16270.38 ±0 10 13.E-06 45. £-06

21/2 19/2 16270.38 ±0 10 l2.e-06 41 .E-06

total intensity 40.E-06 14. £-05

1 19/2 17/2 16228.26 ±0 10 52-E-07 12. E-06 1425

17/2 15/2 16228.26 ±0 10 47. £-07 ll.E-06

15/2 13/2 16228 .26 ±0 10 42.E-07 98.E-07

total intensity 14.E-06 33. E-06

25/2 23/2 16230.50 ±0. 10 71.E-07 17. E-06

23/2 21/2 16230. 50 ±0. 10 64.E-07 15. E-06

21/2 19/2 16230. 50 ±0. 10 58.E-07 13. E-06

total intensity 19.E-06 45. E-06

2 16191.4 17. £-06 26. E-06 1309

3 16152.0 81.E-07 87.E-07 1309

85
Isotopic Molecular

Species

^j^205j-127

Rotation Vib ration V Intensity cm""*"

1 11 K f' f" Ref

J -J V Mc/ sec 300° 19 5°

11-10 ground 17896.0 95.E-06 32.t-0S 1309

1 17852.8 46.E-06 1 1 .E-05 1309

2 17809.2 22.E-06 35.fc-06 1309 13-12 ground 2 5/2 23/2 21148.78 ±0.05 24.e-06 82.E-06 1425

23/2 21/2 21148.78 ±0.05 22.E-06 76.b-06

21/2 19/2 21148.78 ±0.05 21.e-06 70.E-06

total intensity 67.E-06 23. E-05

31/2 29/2 21149.81 ±0.10 31.E-06 10. E-05

29/2 27/2 21149.81 ±0.10 28.E-06 96. fc-06 27/2 2 5/2 21149.81 ±0.10 26.E-06 89.t-06

total intensity 85.E-06 29. E-05 15-14 ground 29/2 27/2 24402.36 ±0.10 3r,E-06 X3.t-05 1425

27/2 2 5/2 24402.36 ±0.10 35.E-06 12 . E-05

25/2 23/2 24402.36 ±0.10 33.E-06 1 1 .E-05 total intensity lO.E-05 36. E-05

35/2 33/2 24403.14 ±0.10 'tb.^-Ob 16. E-05

33/2 31/2 24403.14 ±0.10 43.E-0& 15, e-05

31/2 29/2 24403.14 ±0.10 40.E-06 l't.t-05 total intensity 13.E-05 44. E-05

35/2 33/2 24403.20 ±0.10 46.E-06 16. E-05 16-15 ground 26029,54 ±0,30 29.E-05 97. E-05 1425 17-16 ground 27655.37 ±0.10 34.E-05 12-E-04 1425

1 27588.22 ±0.20 1 7.E-05 38. E-05 1425

2 27520.39 ±0.20 80.E-06 12. E-05 1425

86
Table 2.

Casimir's Function and

Hyperfine Intensities

Casimir's function is given by the expression

f=[3C(C + l)/4-I(I + l)J(J+l)]/2I(2I-l) (2J-1) (2J + 3)

where C=F(F + 1) -1(1 + 1) -J(J + 1) and I, J, and F are the

angular momentum quantum numbers. The hyperfine intensities

H(I, J', F' ; I, J", F") are defined under Computation of Intensities. Both f and H are given for 1=1/2 to 9/2 in steps of 1/2

and for J=0 to 10 in steps of 1/2 and 11 to 20 in steps of 1.

J + 1 «-

J

J - J

F —F + 1

I J F FUNCTION F + F F F F - l«- F F + l«- F F F 1/2 0 1/2 .000000 .666667 .333333

1/2 1/2 1 • 000000 . 6^ dOOO . 123000 . 3UUUUU

1/2 1/2 0 .000000 .250000 .250000

1/2 1 3/2 .• 000000 \3 \J\J \J\J . 600000 . 066667

1/2 1 1/2 .000000 .333333 .111111 .222222

1/2 3/2 . 000000 C O 1 O "3 . 3 333 • 04 166

1

• !> O ^- !> UU

1/2 3/2 1 .000000 .375000 .062500 .312500

1/2 2 5/2 •. fifioonn \J\J\J\J\J\J .571429 .028571 n ^ r\ r\ r\ n 1/2 2 3/2 .000000 .400000 .040000 . 360000

1/2 5/2 3 .• 000000 \J \J\J \J \J \J . 562 500

1/2 5/2 2 .000000 .416667 .027778 .388889

1/2 3 7/2 . nnooon • 555 556 .015873

1/2 3 5/2 .000000 .428571 .020408 .408163

1/2 7/2 4 • 000000 \J \J \J \J \J \J . 550000 . 012500 . D460 10 1/2 7/2 3 .000000 .437500 ,015625 .421875

1/2 9/2 . 000000 • U L U 1 U 1 1/2 4 7/2 .000000 .444444 .012346 .432099

1 12 9/2 5 . 000000 • 34 1 66 f n A Q 1 1 '3 c /. n n n n 1/2 9/2 4 .000000 .450000 .010000 .440000

1/2 5 11/2 . 000000 . 538462 r\ Q Q o c 1 7 1 on

1/2 5 9/2 .000000 .454545 .008264 .446281

1/2 11/2 6 . 000000 .535714 n 1^ C r~ft C O

. 005952 C 1 A 7 O O 1/2 11/2 5 .000000 .458333 .006944 .451389

1/2 6 13/2 .• 000000 \J\J\/ \J \J \J .533333 . 005 «^ 1 O A A 1/2 6 11/2 .000000 .461538 .005917 .455621

1/2 13/2 7 .• 000000 \i\J\J \J\J \J .531 250 . 004464

1/2 13/2 6 .000000 .464286 .005102 .459184

1/2 7 15/2 .• 000000 \J \J\J \J \J \J n n 1 Q *> *> C\ '7 Q Q Q Q • !) ^ o 0 O 7 1/2 7 13/2 .000000 .004444 .462222

1/2 15/2 8 .• 000000 \y \J \J \J \J \J C O 7 "7 Q n A 1 A "7 o . UU 34 f <: .3^1 3*tH 1/2 15/2 7 .000000 .468750 .003906 .464844

1/2 8 17/2 nooonn .526316 o r» 1 rt o

. 003096 *> Q K 3 . 3ZD*^ 3/1 1/2 8 15/2 .000000 .470588 .003460 .467128

1/2 17/2 9 . 000000 .52 5 000 . 002 778 c o A n 1 1/2 17/2 8 .000000 .472222 .003086 .469136

1/2 9 19/2 r\ f\ r\ f\ f\ . 000000 .523810 .002506 .523546

1/2 9 17/2 .000000 .473684 .002770 .470914

89
J + 1 «-

J - J CASIMIR^ F -^F + 1

I J F * \— f F F F - I-.- F F -f F F *- F 1/2 19/2 10 .000000 . 522727 .002273 .522500

1/2 19/2 9 . 000000 . 475000 . 002500 .472500

1/2 10 21/2 .000000 . 521739 .002070 .521542

1/2 10 19/2 .9 000000 w \y w vf vy u . 476190 .002268 .473923

1/2 11 23/2 . 000000 .520000 .001739 .519849

1/2 1

21/2 . 000000 .478261 .001890 .476371

1/2 12 25/2 .000000 .518519 .001481 .518400

1/2 12 23/2 . 000000 . 480000 .001600 .478400

1/2 13 27/2 .000000 .517241 .001277 .517147

1/2 125/2 .• 000000 V/ \J \I \J \J \J .481481 .001372 .4801 10

1/2 14 29/2 .000000 .516129 .001 1 12 .516052

I /? 1

27 /2 • \J \J\J \J \J \J . 482759 .001189 .481570

1/2 15 31/2 . 000000 .515152 .000978 .515088

1/2 2<)/? C ^ I c »O 000000 \J \J \J \J \J \J .483871 .001041 .482830

1/2 16 33/2 .000000 .514286 .000866 .514233

1/2 131/2 .• 000000 \J \J \J \J \J \J .484848 .000918 .483930

1/2 17 35/2 .000000 .513514 .000772 .513469

1 /? 1^7 33/2 .• 000000 \J ^ \J \J \J \J .485714 .000816 .484898

1/2 18 37/2 .000000 .512821 .000693 .512783

1 /? 18 35/2 .• 000000 \y \j V \/ w \j . 486486 .000730 .485756

1/2 19 39/2 .000000 .512195 .000625 .512163

1/2 137/2 • 000000 . 487179 . 000657 .486522

1/2 20 41/2 .000000 . 51 1628 . 000567 .51 1600

1/2 20 39/2 .000000 .487805 .000595 .487210

1

J. n IX . 000000 . 555556 . 333333 . mill

1 1/2 3/2 .000000 .500000 . 148148 .018519 .370370

1X X / ^ 1X //?£ • 000000 . 185185 . 148148 .296296 .037037

1 1 2 .050000 .466667 .083333 .005556 .416667

1 1 1 -.250000 .250000 .083333 .138889 .083333

1 1X 0 . 500000 .mill .111111

1 3/2 5/2 .062500 .444444 .053333 .002222 .420000

1 3/2 3/2 -.250000 .280000 .053333 .080000 . 179259

1 -J / £- 1/? • 312500 .166667 .074074 .092593

1 2 3 .071429 .428571 .037037 .001058 .414815

1 2 2 -.250000 .296296 .037037 .051852 .231481

1 2 1 .250000 .200000 .050000 .150000

1 5/2 7/2 .078125 ,416667 .027211 .000567 .408163

90
J + 1 ^ J J — J

V, Ail M Irrb F •-F 1

I

1 cr Function Cr XT 1

1 A- cr r r C 1 c r — 1 r r 1 r c - c 5/2 5/2 . 306122 . 0272 1

1

. 03628

1

.26 1497

5/2 3/2 ,218750 . 222222 .035556 . 186667

1 3 4 .083333 .407407 .020833 .000331 .401786

3 3 • ^ ^ U U V/ w . 312500 . 020833 .026786 .280093

3 2 .200000 .238095 . 026455 .21 1640

1 7/2 9/2 .087500 .400000 .016461 .000206 .396091

7/2 7/2 . 316872 .016461 . 020576 .292349

7/2 5/2 .187500 .250000 .020408 .229592

1 4 5 .090909 .393939 .013333 .000135 .391111

4 4 . 320000 .013333 .016296 . 300833

4 3 . 178571 .259259 . 0 16204 . 243056

1 9/2 11/2 .093750 .388889 .011019 .000092 .386777

9/2 9/2 . ^ 17 U VJ u u . 322 314 .011019 . 0 I 3223 . 306941

9/2 7/2 .171875 .266667 .013169 .253498

1 5 6 .096154 .384615 .009259 .000065 .382997

5 5 . 324074 . 009259 .010943 .31 1481

5 4 . 166667 .272727 .0 10909 .261818

1 11/2 13/2 .098214 .380952 .007890 .000047 .379684

11/2 11/2 • £. -HJUUU . 325444 . 007890 . 009204 . 314946

11/2 9/2 . 162500 .277778 .009183 .268595

1 6 7 . 100000 .377778 .006803 .000035 .376766

6 6 .326531 . 006803 .007849 . 317649

6 5 . 159091 .282051 * .007835 .2742 1

7

I 13/2 15/2 .101563 .375000 .005926 .000026 . 374180

13/2 13/2 . 327407 . 005926 .006772 . 3 19798

13/2 11/2 .156250 .285714 .006762 .278952

I 7 8 . 102941 .372549 .005208 .000020 .371875

7 7 .328125 . 005208 . 005903 .321535

7 6 .153846 .288889 .005896 .282993

I 15/2 17/2 . 104167 .370370 .004614 .000016 .369810

15/2 15/2 .328720 . 0046 14 .005190 . 322958

15/2 13/2 .151786 .291667 . 0051 85 .286481

1 8 9 . 105263 .368421 .004115 .000013 .367950

8 8 • ^ 5U uu

u

. 329218 . 0041 15 .004599 . 3241 38

8 7 .150000 .294118 .004596 .289522

1 17/2 19/2 . 106250 .366667 .003693 .000010 .366267

17/2 17/2 . 329640 . 003693 . 004104 .325129

17/2 15/2 . 148438 .296296 . 004101 .292195

Q7 1

U

. 107143 • J J J J nnn nop 5 /I, A 7 a7 • J O H 1 J 1 9 9 -.250000 . 330000 .003333 .003684 .325967

9 8 . 147059 .298246 .003682 .294564

91
J + 1 — J J - J CASIMIR*S F --F + 1

I J P FUNCTION F -f F F «- F F - 1 F F F F F 19/2 21/2 . 107955 . 363636 .003023 .000007 .363341

1 19/2 19/2 -.250000 . 330310 . 003023 .003326 .326683

19/2 17/2 . 145833 .300000 . 003324 .296676

1 10 11 . 108696 .362319 .002755 .000006 .362062

1 10 10 -.250000 . 330579 .002755 .003017 .327300

^ 10 9 . 144737 .301587 .003016 .298571

1 11 12 .110000 . 360000 .002315 .000004 .359803

1 11 11 -.250000 .331019 .002315 .002516 . 328302

11 10 . 142857 .304348 .002515 .301833

I 12 13 .111111 . 358025 . 001972 .000003 .357870

I 12 12 -.250000 . 331361 .001972 .002130 .329074

12 11 . 141304 .306667 . 002 130 . 304537

1 13 14 .112069 .356322 .001701 .000002 .356198

1 13 13 -.250000 . 331633 .001701 .001827 .329680

13 12 . 140000 .308642 .001826 . 306816

1 14 15 .112903 .354839 .001481 .000002 .354738

1 14 14 -.250000 .331852 .001481 .001584 . 330166

14 13 . 138889 .310345 .001583 . 308761

1 15 16 .113636 . 353535 .001302 .000001 .353453

1 15 15 -.250000 .332031 .001302 .001386 .330561

15 14 .137931 .311828 .001386 .310442

1 16 17 .114286 .352381 .001153 TM000001 .352312

1 16 16 -.250000 .332180 .001153 .001223 .330887

16 15 .137097 .313131 .001223 .311908

I 17 18 .114865 .351351 .001029 .000001 .351293

1 17 17 -.250000, .332305 .001029 .001088 .331158

17 16 .136364 .314286 .001087 .313198

1 18 19 - 115385 .350427 .000923 .000001 .350378

1 18 18 -.250000 .332410 .000923 .000973 .331387

I 18 17 . 135714 .315315 .000973 .314342

1 19 20 .115854 .349593 .000833 .000001 .349551

1 19 19 -.250000 .332500 .000833 .000876 .331581

19 18 .135135 .316239 .000876 .315363

1 20 21 .116279 .348837 .000756 .000000 ,348801

-.250000 m J D £. J 1 t . yjvjyj f i/D .000793 .331748

1 20 19 .134615 .317073 .000793 .316280

U Die. .000000 . o D m3 • i OOOO f

3/2 1/2 2 000000 .437500 . 156250 .031250 .312500

3/2 1/2 I .000000 . 156250 . 156250 .062500 . 312500 .062500

3/2 1 5/2 .400000 .090000 .010000 . J snnnn J \j \j 3/2 1 3/2 -.200000 .210000 . 106667 .016667 .150000 .044444

92
J+ 1—

J

J - J CASIMIR^ F •-F + 1

I J F FUNCTION F + !>•- F F F F - 1-^ F F + F F-^ F 1/2 .250000 . u O ^ ^ ^ . \JO O J J J 1 R R RQ n 7 7 7 7R

3/2 3/2 3 .062500 .375000 .058333 .004167 .350000

3/2 3/2 2 187500 .233333 .072917 .006250 .087500 .125000

J f c 3/? 1 .062500 1 1 7*?n • I uuuuu •Ud DUUU

0 1 c 3/? 0 .312500

3/2 2 7/2 .071429 .357143 .040816 .002041 .342857

3/2 2 5/2 -. 178571 .244898 .052245 .002857 .057143 . 172857

3/7 .000000 . 1 O \J\J\J\J « nU 7nnnn 1 uuuu m U O U U U U

£. 1/7 .250000 . X1 nnnnn \J\J\J\J\3 • u !> uuuu • UDUUUU

5/2 4 .078125 .343750 .030134 .001116 .334821

3/2 5/2 3 -.171875 .251116 .039063 .001488 .040179 .200694

•5/7 c -.031250 .X1 7R'57 1 f O 17 f X n 7 Q7A 9 • U? U f 7** .

1X ^7 nn^n UU HU

s/? 1 .218750 • U 3 f DUU . UO f 7UU

3/2 3 9/2 ,.083333 .333333 .023148 .000661 .327381

3/2 3 7/2 -.166667 .254630 .030234 .000850 .029762 .217687

•a / 7 -.050000 n o "5 Ac;

• U JtJ^ OD

/ 7 .200000 n 9 Q 7

1

• U^ f 1

1 1 Zl 7 fl A

3/2 7/2 5 .087500 .325000 .018333 .000417 .320833

3/2 7/2 4 -. 162500 .256667 .024062 .000521 .022917 .228571

J 1 c » -.062500 7nns7

1

. nU 1X HO ^7 ^7Q7 n7Q7 A7 •

11 AAAA7 O O D O f / 7 7/7 lie . 187500 .

1X <>A 17 O ^7snIJ u

3/2 11/2 .090909 .318182 .014876 .000275 .315152

3/2 4 9/2 -. 159091 .257851 .019590 .000337 .018182 .235831

7/7 -.071429 . nU 1 &R 1 X H O X 17 • n\J £.7 ^O 7A>S 1 O -J • i. o u o u u

D f c. "T •5/7 .178571 . X O O OO f . nU 1X 7Hf O IJ f • 1 H O O 1 u

3/2 9/2 6 .093750 .312500 .012311 .000189 .310227

3/2 9/2 5 -. 156250 .258523 .016250 .000227 .014773 .240833

Q/? -.078125 7 1 7 777 n 1 p ^ 7"^ n 1 Q '^Q4 . U X 7 ^ 7*T • \.\J £. D 3/7 J t c Q / 7 .171875 1 7«»nnn •

1X f\nu O U*T 11 71

3/2 5 13/2 . 096154 .307692 .010355 .000134 .305944

3/2 5 11/2 -. 153846 .258876 .013693 .000159 .012238 .244374

Q / 7 -.083333 n 1 fi ^'^ 1 • nU 11 AO 11 11 Ao . X 7 7U

3/? 7/7 . 166667 • 1X AO 11. ftO J.1 Ao n 1 ? 1 9 1 • U 1 ^ 1 ^ i. 1 AC3AQ7

3/2 11/2 7 .098214 .303571 .008830 .000098 .302198

3/2 11/2 6 -. 151786 .259027 .011692 .000114 .010302 .246934

J f c. 11/7 1 J. / ^

c -.087500 • ^ ^ U ^7 ^ nnft ft 1 A n 1 ^ soft 7 n R '^/i 7

L11/7 X / ^

A

. 162500 • 1 O f

1 77 7 7

3/2 6 15/2 . 100000 . 300000 .007619 .000073 .298901

3/2 6 13/2 -. 150000 .259048 .010099 .000085 .008791 .248817

O 1 1 / P -.090909 7 7 ^ 1 A 1 . ^ c. ^ X D X . nr>7Anfl u u r o uo . nU 1X

1X AD ^7 o o QJ t/ c.7 .159091 1 Q7 '^OR nnfl74

1

.

11 Ro "^SAA J ;7 o o

3/2 13/2 8 .101563 .296875 .006641 .000056 .295982

3/2 13/2 7 -.148438 .258984 .008809 .000064 .007589 .250221

3/2 13/2 6 -.093750 .225510 .006633 .010047 .214541

93
J + 1 — J J -• J

F -F + 1

I J cr FUNCTION r 1 r F F F — 1 «- F F l«- F F F 3/2 13/2 5 .156250 .196429 ,007555 , 188874

/ 7 7 17/7 . 102941 9 QA 1 1 A . U U 7 O 5 7 ,293382

3/2 7 15/2 -.147059 .258867 .007751 .000049 ,006618 ,251279

1/2 7 13/2 -.096154 .227500 .005833 ,008770 .217970

3/2 7 11/2 .153846 .200000 ,006593 . 193407

"At J f c.7 Q . 104167 9 Q 1 A A 7 • nnUU 9

11 71 a

• UUUU9H .291054

3/2 15/2 8 -.145833 .258715 .006872 .000038 ,005821 .252083

3/2 15/2 7 -.098214 .229205 .005170 ,007721 .220851

3/2 15/2 6 .151786 .203125 ,005804 . 19732

fio J.1 QT i/ C.7 . 105263 nnnn9 7 ,288958

3/2 8 Vl/2 -. 144737 .258541 .0061^4 .000030 ,005160 ,252698

3/2 8 15/2 -. 100000 .230681 .004614 .006848 ,223299

3/2 8 13/2 . 150000 .205882 ,005147 .200735

J/ ^ 17/? . 106250 9 Q7C An • UUH 1 H9 n nn n 9 9 ,287061

3/2 17/2 9 -.143750 .258355 .005509 .000024 .004605 ,253168

3/2 17/2 8 -. 101563 .231969 .004142 .0061 16 .225400

17/2 7 . 148438 .208333 .004596 .203738

Ore. Q ^ 1 / ^ . 107143 O Q C 7 1 A

• t 0 9 f i *T nn ^7 A• UU 9 (Hi • nnnm uuuu 1 n

.285338

3/2 9 19/2 -. 142857 .258163 .004975 .000020 .004135 .253529

3/2 9 17/2 -.102941 .233102 .003740 ,005494 .227220

3/2 9 15/2 . 147059 .210526 ,004128 .206398

1 Q / ? . 107955 , uuuu I

.283766

3/2 19/2 10 -. 142045 .257969 .004514 ,000016 ,003734 .253804

3/2 19/2 9 -. 104167 .234107 .003393 ,004962 ,228810

3/2 19/2 8 .145833 .212500 ,003728 ,208772

71/7 .108696 9 ft 9 AHQ . \J\J J nnnm 7 ,282326

3/2 10 21/2 -.141304 .257776 .004115 ,000013 ,003388 .254013

3/2 10 19/2 -. 105263 .235003 .003092 ,004504 ,230208

3/2 10 17/2 . 144737 .214286 ,003383 ,210902

^ i c. i, 1 71/7 .110000 9 ft nnnn nn 9 Ann « UUUUU7 .279783

3/2 11 23/2 -.140000 .257400 ,003460 .,000009 .002826 .254284

3/2 11 21/2 -.107143 .236531 .002599 .003759 .232548

3/2 11 19/2 .142857 .217391 .002823 .214568

1 7 1 C7 7/7 .111111 9 77 "77 Q nn 9 9 1 A • UUUUUO .277607

3/2 12 25/2 -.138889 .257043 .002950 ,000007 .002393 .254422

3/2 12 23/2 -. 108696 .237785 .002215 .003185 .234424

3/2 12 21/2 . 141304 .220000 .002391 .217609

i. ^ t £. . 112069 9 7 *i ft A9 • UU i 7 1 I m UUUUU9 .275725

3/2 13 27/2 -.137931 .256710 .002544 ,000005 .002053 .254475

3/2 13 25/2 -. 110000 .238830 .001911 .002732 .235957

3/2 13 23/2 .140000 .222222 .002051 .220171

3/2 14 31/2 .112903 .274194 .001665 ,000004 .274082

3/2 14 29/2 -o 137097 .256400 .002217 .000004 .001780 .254471

3/2 14 27/2 1 -.111111 .239715 ,001665 .002370 .237231

94
J + 1 J J J CASIMII^S F .^F + 1

I J F FUNCTION F + 1- F F F F - 1- F F I*- F F F 3/2 14 25/2 1 o o o o o . 138889 .224138 .001779 .222359

3/2 15 33/2 .113636 .272727 .001463 .000003 .272636

3/2 15 31/2 -.136364 A A AAA 7 . UUUUU7 A A 1 c; Q . UU i ooa O A /. 1 O 3/2 15 29/2 -.112069 .240472 .001463 .002075 .238304

3/2 15

* Zl12 • 137931 .225806 .001557 .224249

3/2 16 35/2 .114286 .271429 .001297 .000002 .271352

3/2 16 33/2 -.135714 • Z 3D OHO An 1 7 •> 7 A A A AA 7 • UUUUU^ A A 1 7 7C . UU i f

7

3/2 16 31/2 -.112903 .241128 .001296 .001831 .239218

3/2 16 29/2 . 1 37097 .227273 .001375 .225898

3/2 17 Zl/Z .114865 .270270 .001157 .000002 .270206

3/2 17 35/2 -.135135 AA 1 A 1 A A A A A O

. UUUUU2 A A 1 o o "a . UO 1^2 3 OCA O O "5 3/2 17 33/2 -.113636 .241701 .001156 .001629 .240006

3/2 17 31/2 . 1 36364 .228571 .001222 .227349

3/2 18 39/2 .115385 .269231 .001038 .000001 .269176

3/2 18 37/2 -. 134615 . ^ 7 3 ^ r ^ • UUUUU

1

• AUUA 11 AU>»H OA 9 *i A O A is 3/2 18 35/2 -.114286 .242205 .001038 .001458 -240692

3/2 18 33/2 . 135714 .229730 .001094 .228636

3/2 19 41/2 , 115854 .268293 .000937 .000001 .268246

3/2 19 39/2 -.134146 A A 1 7 ^ Q . UU l^SrO A A A AA 1 • UUUUU i A A A Q Q . UUU7 OD O C A 1 1 "J 3/2 19 37/2 -.114865 .242653 .000937 .001312 .241293

3/2 19 35/2 .135135 .230769 .000985 .229784

3/2 20 .116279 .267442 .000850 .000001 .267401

3/2 20 41/2 -.133721 ^ C A OAA • UU 1

1

A A A AA 1 • UUUUU L A A A Q O 1 • UUUo V

1

O C A A 1 Q

3/2 20 39/2 -.115385 .243053 .000850 .001188 .241824

3/2 20 37/2 . 1 3461

5

.^31 1 U f A A A Q Q 1 • UUUO 7 I 9 A fl 1 A • ^ ^ UO 1

O

2 0 2 AAA A A A• 000000 .466667 . 333333 .200000

2 1/2 5/2 .000000 .400000 . 160000 .040000 .280000

2 1/2 3/2 A A A A A A

. 000000 . 140000 . 160000 . lOOOOO .320000 .080000

2 1 3 .050000 • 30UUUU A 1 7 7 7 7

2 1 2 -. 175000 . 186667 .116667 .030000 .155556 .027778

2 1 1 . 175000 .070000 .090000 .040000 .150000 .050000

2 3/2 1/2 .062500 .333333 .060952 .005714 .308571

2 3/2 5/2 -.156250 rt 7 7 Q A A 1 O A A A • U I ^: UUU A Q 1 A O Q A O A <^ 7 1 2 3/2 3/2 .000000 .112000 .074667 .013333 .112000 .008000

2 3/2 1/2 . 2 1 8750 .046667 .053333 .080000 .020000

2 2 4 .071429 .314286 .042857 .002857 .300000

2 2 3 -. 142857 .214286 .060000 .005714 .060000 .140000

2 2 2 -.053571 n c "7 1 A "a • U D f 1 H J n A «^ 7 1 A • UU7 1 1

H

A Q A A A A • U O UU UU A R A A A A . U7UUUU

2 2 1 . 125000 .080000 .040000 .070000 .010000

2 2 0 . 250000 .040000 .040000

2 5/2 9/2 .078125 .• ?ooooo J \J\J \J\J\J . 031746 . 00 1 587 .29 1005

2 5/2 7/2 -.132813 .218254 .045351 .003061 .042328 .165563

O ^ m\J 9 OLC.O .153061 .044082 .002857 .058776 .086367

95
J + 1 — J J

*- J

C A S I M 1 (7*5 F •-F + 1

I J F F 1 F F F

C I ^ c

r — 1 r F l«- F F F

c .078125 • U 7UH f O .054857 .042921

c.J 1 /? .218750 AAA AA7 .035556 .031111

c

a .083333 9 O O OOQ • UUU 77 A .282857

2 3 -.125000 .220000 .035357 .001786 .031429 .181071

2 3 3 -.091667 .163690 .034722 .001587 .044643 .112500

7 .050000 1 1 QHAfl • vJ A ^ O 1 U .042857 .071429

£, y 1 .200000 .028571 .057143

c. 7/7 tic. 11/7 1 1 / A . 087500 • A7 oft nu nnn uuu • U X 7 3 7H • uuu ou 0 .275758

2 7/2 9/2 -. 1 18750 .220606 .028283 .001111 .024242 . 190837

2 7/2 7/2 lOOOOO . 171111 .027937 .000952 .034921 . 131066

£. 3 / A .031250 1 ^ no*? 7 • nU 1 QHAft X 7 U*tO .034014 .093129

C. 1 i y / 7 .187500 1 nnnnn .022857 .077143

€. A Ao .090909 • A7 71 A777f A 7r n 1 R7 •^ft • U X 7 r 70 • UU UHU*t . 269630

2 5 -. 113636 .220606 .023111 .000727 .019259 . 197185

2 -. 105519 .176485 .022909 .000606 .028000 . 144500

C •t a •017857 o I *fUUUU • nU 1X 7 ^7 70A .027500 . 109537

A

. 178571 • 111111 X i L 1 1 i .018519 .092593

1 ^/ ^ .093750 7 A A A A 7 • vj X J U 7*r • nuuun n A7 ftoun .264336

2 9/2 11/2 -. 109375 .220280 .019224 .000496 .015664 .201416

2 9/2 9/2 -. 109375 . 180496 .019100 .000404 .022920 . 154454

£. lie. .007813 1 A7n7

• nU 1X A

7 Q7 7 Q A 7 .022626 .122136

c Q / ? Oi C. . 171875 1 9 nnnn .015238 .104762

£. cf .096154 9 A 1 Rifl • nU 1X noU7OAQ• nnn uuu aUU 7nn .259740

2 5 6 -. 105769 .219780 .016234 .000350 .012987 .204286

2 5 5 -. 112179 .183566 .016154 .000280 .019091 . 162000

-y A .000000 I •1979 7 • U X U 7 U7 .018909 .132000

C .166667 1 97 971 .012727 .114545

a 1 S/ 7 . 098214 9'i7 1 tl nnn i ^7 .255726

2 11/2 13/2 -. 102679 .219194 .013886 .000254 .010940 .206255

2 11/2 11/2 -. 114286 . 185968 .013832 .000200 .016138 . 167842

C 11/7 Q^ t/ CJ -.006250 <t u u 7 7 A H .016020 .139872

y 11/7 7/9 lie. , 162500 1 11111 .010774 .122559

Ao

Qo . lOOOOO 9 1 11

• UU0U77 • nnn uuu X

1 inX

.252198

2 6 7 -. 100000 .218571 .012009 .000188 .009341 .207614

2 6 6 -. 1 15909 .187881 .011973 .000147 .013815 . 172449

y AO -.011364 1 A 1 17 9 . lO L 1 1 Z • uuou 7

.013736 . 146264

y AO

A .159091 1 1QAA9 .009231 .129231

y 1 / 7 17/7 . 101563 • u u 1 u 7 7 .249076

2 13/2 15/2 -.097656 .217941 .010487 .000143 . 008067 .208548

2 13/2 13/2 -. 117188 . 189429 .010462 .000110 . 01 1956 . 1 76142

y 1 1 /9 -.015625 • X OH ^ 70 • uu f U J

.011902 .151535

yc. LOf i 0/9 .156250 1 7 QC;7 .007992 .134865

2 7 9 . 102941 .247059 .006209 .000065 .246296

2 7 6 -.095588 ;217320 .009236 .000110 .007037 .209183

2 7 7 -.118213 . 190699 .009217 .000084 .010446 . 179145

2 7 6 -.019231 . 167143 ,006190 .010408 . 155941

96
J + 1 — J J — J

C A S 1 M 1 frS F «- F -f 1

I J F FUNCTION F -f I*- F F *- F F - 1 *- F F -f I*- F F F 2 7 5 .153846 .146667 .006984 .139683

2 15/2 19/2 . 104167 .244444 .005504 .000052 .243808

2 15/2 17/2 -.093750 .216718 .008195 .000087 .006192 .209604

2 15/2 15/2 -.119048 .191753 .008181 .000065 .009204 .181619

C X

1 •%3 // 417 X. O f c. • Kicc. ^c. 1 . 169510 .005490 .009176 .159670

2 15/2 11/2 .151786 . 150000 .006154 . 143846

2 8 10 .105263 .242105 .004912 .000041 .241569

2 6 9 -.092105 .216140 . 007320 . 000069 . 005490 .209869

2 8 8 -.119737 .192638 .007310 .000052 .008170 . 183681

C

ft 7f .171569 .004902 .008150/ . 162859

2 8 6 . 150000 . 152941 .005462 . 147479

2 17/2 21/2 . 106250 .240000 .004411 .000033 .239543

2 17/2 19/2 -.090625 .215589 . 006578 . 000055 .004901 .210021

2 17/2 17/2 -. 120312 .193389 .006570 .000041 .007300 .185415

C LJfC. .173375 .004403 .007285 .165613

2 17/2 13/2 . 148438 . 155556 .004880 .150675

2 9 11 . 107143 .238095 .003983 .000027 .237703

2 9 10 -.089286 .215065 . 005943 . 000045 . 004402 . 210089

2 9 9 -.120798 . 194030 .005937 .000033 .006561 .186889

Q QO VH 1 d. . 174971 .003977 .006550 .168012

2 9 7 , 147059 .157895 .004386 .153509

2 19/2 23/2 .107955 .236364 .003614 .000023 .236025

2 19/2 21/2 -.088068 .214568 . 005395 . 000037 .003975 .210096

2 19/2 19/2 -.121212 .194583 .005390 .000027 .005929 .188151

L 1 / C . 176391 .003609 .005920 .170117

2 19/2 15/2 . 145833 . 160000 .003963 .156037

2 10 12 .108696 .234783 .003294 .000019 .234488

2 10 11 -.086957 .214097 . 004919 .000031 . 003608 .2 10056

2 10 10 -.121568 . 195062 .004916 .000023 .005384 .189240

C 1

1 nu Q . 177662 .003290 .005377 .171978

2 10 8 . 144737 .161905 .003598 .158307

2 11 13 .110000 .232000 .002769 .000013 .231773

2 11 12 -.085000 .213231 .004139 . 000022 . 003010 .209885

2 11 11 -.122143 . 195848 .004136 .000016 .004496 .191012

1 1 1

1

1 U . 179842 .002767 .004492 .175113

2 11 9 .142857 . 165217 .003004 . 162213

2 12 14 .111111 .229630 .002361 .000010 .229451

2 12 13 -.083333 .212454 . 003530 .000016 . 002549 .209640

2 12 12 -. 122585 . 196460 .003528 .000011 .003811 .192382

C,

1 O 1

1

— n a an A i • U . 181641 .002359 .003808 .177647

2 12 10 . 141304 .168000 .002545 .165455

2 13 15 . 112069 .227586 . 002036 .000007 .227443

2 13 14 -.081897 .211757 . 003046 . 000012 . 002 1 87 .209357

2 13 13 -.122931 .196947 .003045 .000008 .003271 . 193461

1

3

12 — . 040000 . 183150 .002035 .003269 . 179732

2 13 11 . 140000 . 170370 .002184 .168186

97
J + 1 — J J -- J CASIMIR-S F F > 1

I J F F + F F F F - 1 F F -f l«- F F «- F

2 14 16 . 112903 .225806 .001774 . 000006 .225690

2 14 15 -.080645 .211129 . 002655 . 000009 ,001897 .209059

2 14 14 123208 . 197339 .002654 .000006 .002837 . 194327

2 14 13 —.041667 .184433 .001773 .002836 . 181476

2 14 12 . 138889 .172414 .001895 .170519

2 15 17 .113636 .224242 . 001560 .000004 .224146

2 15 16 -.079545 . 2 10561 . 002335 . 000007 .001660 .208758

2 15 15 -.123433 . 197661 .002334 .000005 .002485 .195031

2 15 14 -.043103 . 185538 .001559 . 002484 . 182954

2 15 13 .137931 . 174194 .001659 . 172535

2 16 18 . 1 14286 .222857 .001382 .000003 .222777

2 16 17 -.078571 . 2 10047 . 002069 . 000005 .001466 .208461

2 16 16 -.123618 . 197927 .002069 .000004 .002194 .195613

2 16 15 -. 044355 .186497 .001381 . 002193 . 184221

2 16 14 . 137097 .175758 .001465 .174293

2 17 19 .114865 .221622 .001233 .000003 .221554

2 17 18 -.077703 . 209578 . 001846 . 000004 .001303 .208174

2 17 17 -. 123771 .198151 .001846 .000003 .001951 .196098

2 17 16 -.045455 .187339 .001232 .001951 . 185318

2 17 15 .136364 . 177143 .001303 .175840

2 18 20 .115385 .220513 .001107 .000002 .220455

2 18 19 -.076923 .209150 . 00 1658 .000003 .001166 .207897

2 18 18 -. 123901 .198340 .001657 .000002 .001747 . 196507

2 18 17 -.046429 .188083 .001106 . 001746 . 186277

2 18 16 .135714 .178378 .001166 . 177213

2 19 21 .115854 .219512 .000999 .000002 .219463

2 19 20 -.076220 .208757 . 001496 . 000003 .001050 .207633

2 19 19 -. 124011 . 198502 .001496 .000002 .001573 .196855

2 19 18 - . 047297 . 188745 .000999 .001573 . 187121

2 19 17 . 135135 . 179487 .001050 .178438

2 20 22 . U6279 .218605 .000906 .000001 .218562

2 20 2 1 -.075581 . 208396 . 001 358 . 000002 .000950 .207382

2 20 20 -. 124lt)6 . 198641 .001357 .000002 .001424 . 197153

2 20 19 -.048077 . 189338 . 000906 .001423 . 187871

2 20 18 .134615 .180488 .000950 .179538

5/2 0 5/2 .000000 . 333333 .222222

5/2 1/2 3 . 000000 .375000 . 162037 .046296 .259259

5/2 1/2 2 .000000 . 129630 . 162037 . 125000 .324074 .092593

5/2 1 7/2 .050000 .333333 .095238 .015873 .285714

5/2 1 5/2 -. 160000 .171429 . 121905 .040000 . 158730 .019048

5/2 1 3/2 . 140000 .062222 .093333 .066667 .155556 .066667

5/2 3/2 4 .062500 .305556 . 062500 . 006944 .281250

5/2 3/2 3 -.137500 . 187500 .087500 .016667 .093750 .079398

5/2 3/2 2 -.025000 . lOOOOO .083333 .025000 .118519 .002315

98
J + 1 J J — J CASIMIR*S F --F + I

I J F FUNCTION F + 1- F f f F - l«- F F » 1-.- F F F 5/2 3/2 1 .038889 .058333 .027778 .087500 .037500

5/2 2 9/2 • nu 7r 1 o i 7 .285714 .044092 .003527 .271605

5/2 2 7/2 .194004 .064500 .008163 .061728 .119224

5/2 2 5/2 -.071429 . 122449 . 066122 .01 1429 . 0857 14 .034286

5/2 2 3/2 .071429 . 068571 . 054180 .010582 . 080000 .001481

5/2 2 1/2 • uuuuu .029630 ..037037 .051852 .014815

5/2 5/2 5 • U f O 1 ^ D .270833 .032738 .001984 .261905

5fZ 5/2 4 _ 1 AO 1 7 Q .196429 .049107 .004464 .043651 . 142857

5/2 5/2 3 .136409 .052083 .005952 .063492 .066667

5/2 5/2 2 .021875 .089286 .044643 .004960 .064286 .023810

5/2 5/2 1 . 143750 . 053571 .029762 .050794 .004762

5/2 5/2 0

o 1 Q 7 c A « ^ i O J !>U . 027778 .027778

5/2 3 11/2 A O ^ 1 "31 * U O 5 J O .259259 . 025253 .001203 .253247

5/2 3 9/2 1 AA A A A .196970 .038480 .002646 .032468 .157127

5/2 3 7/2 _~ 1 AA A A A • I UUUUU . 145503 .041572 .003401 .048501 .090955

5/2 3 5/2 -.006667 . 103930 . 036281 . 002646 .051020 . 048980

5/2 3 3/2 .110000 ,071429 . 0238 10 .042857 .025926

5/2 3 1/2 . 047619 .026455 . 02 1 164

5/2 7/2 6

A O "T C A A .250000 . 020062 .000772 .245756

5/2 7/2 5 A Q O *i A A . 196605 .030895 .001667 .025077 . 165994

5/2 7/2 4 — 1 A c; A A A . HJ5UUU .151667 .033750 .002083 .038095 . 108482

5/2 7/2 3 -.025000 . 1 14583 . 029707 .001543 .040923 .069637

5/2 7/2 2 .087500 . 084877 .019290 .035273 .046572

5/2 7/2 1

1 Q 7 K A A • 1 o r D UU . 062500 .022321 .040179

5/2 4 13/2 AOA OA Q • uvu 7U ^y . 242424 .016317 .000518 .239316

5/2 11/2 ^ • Au doQ A ^0*f 1 AA .195804 .025316 .001102 .019943 .171639

5/2 9/2 _ 1iUfA77Q9^ 9£. . 155984 .027854 .001 347 .030640 .121212

5/2 4 7/2 -.037662 . 122559 . 024627 .000962 .033333 .085714

5/2 4 5/2 .071429 .095238 .015873 .029101 .063492

5/2 4 3/2 1 7 Q Si 7 1 .074074 .018519 .055556

5/2 9/2 7 A Q "a 7 A .236111 .013528 .000361 .233766

5/2 9/2 6

A Q 1 O C A .194805 .021104 .000758 .016234 .175293

5/2 9/2 5

1 AQ a 7 .159091 .023333 .000909 .025140 .130617

5/2 9/2 4 -.046875 . 128687 . 020682 .000631 .027576 .098182

5/2 9/2 3 .059375 . 103409 .013258 .024242 .076992

5/2 9/2 2 171 O 7 C% .083333 .015432 .067901

5/2 5 15/2 . U70 1 !)*» . 230769 .011396 .000259 . 228956

5/2 5 13/2 A 7 ^ Q O a .193732 .017851 .000538 .013468 .177674

5/2 5 11/2 . 161377 .019805 .000636 .020979 . 137699

5/2 5 9/2 -.053846 . 133503 .017581 .000432 .023140 . 107948

5/2 5 7/2 .050000 . 109989 .011223 .020426 .087799

5/2 5 5/2 . L oooo 1 . 090909 .012987 .077922

5/2 11/2 8

A A O O 1 A

• U9o^ iH .226190 .009730 .000191 .224760

5/2 11/2 7

A 7 "2 O 1 A . 192651 .015290 . 000 392 .011351 .179222

5/2 11/2 6 -.110714 . 163091 .017007 .000458 .017760 . 143128

5/2 11/2 5 -.059286 . 137363 .015110 .000305 .019668 .115705

5/2 11/2 4 . 042500 .115385 .009615 .017405 .096547

99
J + 1 — J J -- J CASIMIFTS F*-F + 1

I J F F + 1 F F F F — 1 •- F F -f l«- F F ^ F 5/2 11/2 3 • J. U ^ ^ U V/ .097222 . nU 1X X

1 OAR U*tO n A A 1 1 L.

5/2 6 17/2 1 nnnnn ,222222 .008403 .000144

5/Z 6 15/2 — • n7nnf)n U t V/ »J \J u , 191597 .013239 .000293 « U U 7O 7D • i ou ^ 1

5/2 6 13/2 . 164396 . 014753 . 000338

5/2 6 11/2 -.063636 . 140509 .013115 ,000222 .016906 .121955

5/2 6 9/2 .036364 . 119880 .008325 .014985 .103723

5/2 6 7/2 . 1. -/ 7 U 7 i . 102564 HQ "^n A7

5/2 13/2 9 .218750 .007330 .000110 • <C 1 f c5 1 ^ 5/2 13/2 8 — n A7 1 ft 7 .190586 .011571 .000223 • nyj nfl yj 0 J 771 1 1 ft n p 1 7 5/2 13/2 7 — - 1 1 nQ'^ 7 . 165402 . 012915 . 000255 . nU 1X 3 1X R70 1 5/2 13/2 6 -.067187 . 143112 .011484 .000165 .014678 .127060

5/2 13/2 5 .031250 . 123677 .007275 .013024 .109687

5/2 13/2 • 1 17 O C I? U . 107143 n OP on

5/2 7 19/2 • 1 U ^ 7*t 1 .215686 .006450 .000086

5/2 7 17/2 m VJ t> *r 1 Vy O . 189628 .010199 .000173 • 1 0 J. 1 D 7 5/2 7 15/2 • 1 L \J 0\J \J . 166186 .011 396 . 000196 • I -7 J ^0 7 5/2 7 13/2 -.070136 . 145294 .010136 .000126 .012857 .131282

5/2 7 11/2 .026923 .126923 .006410 .011416 .114702

5/2 7 9/2 . X ^ Q— O .111111 nn7 ? 1 •» • LKt jO 70

5/2 15/2 10 • X Vi*t X O 1 .212963 .005719 .000068 • ^

01i 0 ^

:» 11 A

5/2 15/2 9 . U U \> .188725 .009055 .000136 . U I/O "T 1 A 1 1 A 5/2 15/2 8 _ 1 1 n7 1

« X X U 1 X ^ . 166803 .010127 . 000153 n 1 n 1 A 7 1 c c A 5/2 15/2 7 -.072619 . 147144 .009009 .000097 .011351 .134815

5/2 15/2 6 .02321A . 129727 .005690 .010084 .118967

5/2 15/2 5 • 1X S17 1X 7ftA f O O .114583 • V/U 0 ^ 00 1 n ft 7 1 ft

5/2 8 21/2 .210526 .005105 .000055 p HQQAn

5/2 8 19/2 • U OU 17 ^ O .187877 .008093 .000109 • U U U f \JO 1 ft 1 '\£t,'X 5/2 8 17/2 — . 11L LXJn<i7 J £. AO . 167291 . 009058 .000121 noon "^n • 1-7 f J'tO 5/2 8 15/2 -.074737 . 148728 .008058 .000076 .010092 .137802

5/2 8 13/2 .020000 . 132171 .005084 .008969 . 122630

5/2 8 11/2 .117647 111 QQ

5/2 17/2 11 1 DA? sn .208333 .004585 .000044 7n7ftAA

5/2 17/2 10 .187081 .007275 .000088 •

11 A0 11 c.7 77f f 5/2 17/2 9 — 11 n^i p . 167680 . 008148 « 000097 • nf\ftn77 \J KjOkJ 1 ^ 1 ft ft 7 A. • 1 D 0 0 <c H 5/2 17/2 8 -.076562 .150097 .007249 ,000061 .009030 . 140351

5/2 17/2 7 .017187 . 134320 .004569 .008027 .125805

5/2 17/2 6 •

11 A.AA'^ HOH J AO . 120370 1 1 ^ 1

5/2 9 23/2 .206349 .004141 .000036

5/2 9 21/2 . 186335 .006575 .000072 • 11 ft0 1 1 L.1 1 1 *t f 5/2 9 19/2 . 167991 . 007368 .000079 • 1 OUV/ Z7 H 5/2 9 17/2 -.078151 .151291 .006555 .000049 .008126 .142545

5/2 9 15/2 .014706 .136223 .004128 .007224 .128579

5/2 9 13/2 .

1X ^7010 H 1 U 1/ 7 . 122807 • vU •» -7 to .XX 0£ 17 7

5/2 19/2 12 .204545 .003758 .000030

5/2 19/2 11 -.055682 .185636 .005972 .000059 .004134 .180971

5/2 19/2 10 -.109848 . 168241 .006694 .000065 .006562 .161089

5/2 19/2 9 -.079545 . 152338 .005956 .000040 .007350 .144449

100
J + 1 — J J — J

C A S 1 M 1 R'S F -F + 1

I J F FUNCTION F + F F F F - I- F F •» I*- F F F 5/2 19/2 8 .012500 .137919 .003748 .006535 .131020

5/Z 19/2 7 . 145833 . 125000 .004112 .120888

5/2 10 25/2 .108696 .202899 .003426 .000025 .202597

5/2 10 23/2 -.054348 .184980 .005447 .000049 .003752 .180764

5/P 10 21/2 -.109611 . 168441 . (IDAI Oft . \j \j \j \j J ^ . \J \J J 7 \J\J .161 964

5/2 10 19/2 -.080778 . 153263 .005434 .000033 .006679 . 146112

5/2 10 17/2 .010526 .139440 .003418 .005939 .133183

5/2 10 15/2 . 144737 . 126984 .003735 .123249

5/2 11 27/2 .110000 .200000 .002881 .000018 .199767

5/2 11 25/2 -.052000 .183786 .004585 .000035 .003131 .180294

5/2 23/2 -.109143 . 1 68730 . 005145 • \j \J \J \J J \j • \J \J ^ J \j \J . 163348

5/2 11 21/2 -.082857 . 154820 .004577 .000023 .005585 .148868

5/2 11 19/2 . 007143 . 142052 .002876 .004967 . 136840

5/2 11 17/2 . 142857 .130435 .003120 . 127314

5f2 12 29/2 .111111 .197531 .002456 .000013 .197347

5/2 12 27/2 -.050000 . 182729 .003912 .000025 .002653 .179791

J 9 C 108696 . 168914 . 004392 nnnn? 7 . 00422 3 . 164372

5/2 12 2Z/2 -.084541 .156077 .003907 .000017 .004738 .151047

5/2 12 21/2 . 004348 . 144214 .002453 .004214 .139807

5/2 12 19/2 . 141304 .133333 .002646 .130688

5/2 13 31/2 .112069 . 195402 .002119 .000010 .195255

5/2 13 29/2 -.048276 . 181789 .003377 .000019 .002276 .179284

5/2 1 3 21/2 -. 108276 . 169027 . 003792 -• 000020 \J \J \J \J \J .9 003626 \J \J J \J £. \J . 165144

5/2 13 25/2 -.085931 .157108 .003373 .000012 .004070 .152804

5/2 13 2^/2 . 002000 . 146032 .002116 .003620 .142258

5/2 13 21/2 . 140000 .135802 .002271 .133532

5/2 14 33/2 .112903 .193548 .001846 .000007 .193429

5/2 14 31/2 -.046774 . 180949 .002944 .000014 .001974 .178788

5/2 1 4 29/2 -. 107885 . 16909

1

. 003307 -000015 . 003146 . 165734

5/2 14 27/2 -.087097 .157969 .002942 .000009 .003533 .154244

5/2 14 25/2 .000000 . 147581 .001845 .003142 . 144313

5/2 14 23/2 . 138889 .137931 .001970 .135961

5/2 15 35/2 .113636 . 191919 .001623 .000006 .191820

5/2 15 33/2 -.045455 . 180195 . 002590 .000011 .001728 .178312

S/7 -. 107524 .169 122 -.002910 • \J \J f 1. \J - 00001

2

. 002756 . 1661 9

1

5/2 15 29/2 -.088088 .158695 .002588 .000007 .003096 .155442

5/2 15 27/2 -.001724 . 148915 . 001622 .002753 . 146059

5/2 15 25/2 .137931 .139785 .001726 .138059

5/2 16 il/2 .114286 . 190476 .001438 .000005 . 190394

5/2 16 35/2 -.044286 . 179514 .002295 .000009 .001526 .177859

s / ? 11 Ao / 7 -.107189 1 6Q 1 7R . 002579 • \J \J \J \J \J 7 . 002434 . 166549

5/2 16 31/2 -.088940 .159317 .002294 .000005 .002735 .156450

5/2 16 29/2 -.003226 .150078 .001438 .002432 . 147559

5/2 16 21/2 .137097 . 141414 .001524 .139890

5/2 17 39/2 .114865 . 189189 .001283 .000004 - 189120

5/2 17 37/2 .178897 . 002049 .000007 .001357 .177431

5/2 17 35/2 -.106880 . 169119 .002302 .000007 .002165 . 166830

101
J + 1 — J J — J CASIMIR^ F •-F + 1

I p FUNCTION p -f l«- F F *- F F — 1 «- F F -f I'*- F F «- F 5/2 1

33/2 -.089681 1 59853 -• 007048 \J \J C \J ~ \J . 000004 . 002433 . I. J 1 J \J o 5/2 * • 31/2 -.004545 151 098 . 001 783 . no? 1 64

5/2 17 29/2 . 136364 142857 .001355 . 141502

5/2 1 8 41/2 . 115385 188034 . 001 152 - 000003 . 1 87975

5/2 18 39/2 -.042308 178335 .001839 .000006 .001214 .177027

5/2 18 37/2 -. 106593 • 169098 , 002067 .000006 .001939 . 167054

5/2 18 35/2 -.090330 ^160370 \J \J J \J . 001839 . 00000 3 . 002 1 79 .• 1L 58046 J \J ^\J 5/2 1

33/2 -.005714 1 52002 . 001 1 52 . 00 1937 • X J yj \j \j J 5/2 18 31/2 . I 35714 .001213 . 14293

5/2 19 43/2 . 115854 186992 . 001 040 .• 000007 \J \J \J \J\J . 1 8694

5/2 19 41/2 -.041463 • 177822 .001661 .000005 .001093 . 176648

5/2 19 39/2 -. 106328 • 169069 . 001867 .000005 .001746 .167233

J 1 c ] 9 37/7 -.090903 . no 1 fe6f) 00000"^ . OO 1 967 -IS H6R6

S / 7 1.1 Q~ -.006757 1 S7Rn7 fini 040 . 00 1745 1 S 1 CiCiQ

« 135135 • 1 4^799 on 1 0Q7 1 44707

5/2 20 45/2 .116279 186047 . 000943 .000002 • \J \J \J \J \J ^ . 1 86007

5/2 20 43/2 -.040698 177351 .001507 .000004 .000989 .176292

5/2 20 41/2 -.106082 169034 . 001694 .000004 .001580 .167375

5/2 20 39/2 -.091413 • 161093 .001506 .000002 .001776 . 159246

5/2 20 37/2 -.007692 • 153528 .000943 .001579 .151903

5/? 20 35/2 . 134615 1 4634

. 000989 . 145353

3 0 3 .000000 • 428571 .333333 .238095

•I^ 1/7 7/7 .000000 . L V J C. U J' Oil 070 744RQn

3 1/2 5/2 . 000000 • 122449 . 163265 . 142857 .326531 . 102041

3 1 4 .050000 314286 . 096429 . 0 17857 • 267857

3 1 3 -« 150000 160714 . 125000 .047619 . 1607 14 .013889

3 i 2 , 120000 057143 . 095738 .085714 .158730 .079365

3 3/2 9/2 .062500 • 285714 . 063492 .007937 .261905

3 3/2 1/2 -.125000 1 74603 . 090703 . 070408 • 0952 38 . 068027

3/2 5/7 -.037500 09 1 H^7 -088163' » 034786 . 1 22449 . 000408

•J /? / 7 . 150000 \J J ^ \J 9 yj \j \j ^ J c • 09 1429 . 05 1429

3 2 5 .071429 • 265306 .044898 .004082 .251429

3 2 4 -.107143 • 179592 .067347 .010204 .062857 . 105000

•» •1

J? -.078571 1 1 7 74. •» . 07 1429 01 6'^77 • 0R97fi6 - 07 5000

» .042857 * n6 1774 . 06 17 74 . 07n40ft . 0857 14

•I . 171429 • 024490 040fl 1

. 07040fl . 057143 .028571

•J .078125 £ ^ \J U U \J . \i J J J • W U £ J A. 7 .241 187

3 5/2 9/2 -.093750 « 180891 .051536 .005669 .044527 .127053

3 5/2 7/2 -.093750 • 124717 -057013 .008746 .066515 .053990

•13 S / 7 *; / 7 -.006250 u O w 1 < 0'»747 A ni 0704 06<}97 1 .014111

1

-> «iJSC/ 7 / 7 . 103125 040H 1 . OORSO'^ \J \J O J \J J n«ifl776 . OOO 1 R

3 5/2 1/2 ,187500 020408 .027211 .036281 .011338

3 3 6 . 083333 238095 ,025794 .001417 .232143

3 3 5 -.083333 180556 .040533 .003401 .033163 .140306

3 3 4 -.100000 132653 .045918 .005102 .051020 .076531

lOZ
J + 1 — J J J CASIMIR-S F F + 1

T11 P FUNCTION F -f 1 F F F r — 1 ^ r r "T \ r r r 3 3 3 -.033333 . 093537 • Wt ^ O -> i no *^ A AO

3 3 2 .063333 .062358 . 035431 .004252 .051020 .012755

3 3 1 . 1 50000 .038265 .022959 .038265 .002551

3 3 0 .200000 .020408 .021-408

3 7/2 13/2 .087500 .228571 .020513 .000916 .224359

3 7/2 11/2 -.075000 . 179487 .032634 .002165 .025641 . 148447

3 7/2 9/2 --. 102500 .137879 .037518 .003175 .040198 .093022

3 7/2 7/2 -.050000 . 103 175 A? ft 1 on AH 1 * U U J •tU L n^. ^ 1 • UH !> J J 1 3 7/2 5/2 .037500 .074830 .029932 .002381 .042760 .030369

3 7/2 3/2 . 125000 .052381 .019048 .034014 .017007

3 7/2 1/2 . 187500 .035714 .020408 .015306

3 4 7 .090909 .220779 .016698 .000618 .217687

3 4 6 -.068182 . 178108 .026799 .001443 .020408 .153534

3 4 5 -. 103247 . 141414 .031111 .002078 .032407 . 105053

3 4 -.061039 . 1 10303 . KJ J \J J J \J ^ \J\J ^ LOU n 7 n n A n

3 4 3 .019481 .084416 .025253 .001443 .035714 .046296

3 4 2 .107143 .063492 .015873 .029101 .032407

3 4 1 .178571 .047619 .017857 .029762

3 9/2 15/2 .093750 .214286 .013853 .000433 .211948

3 9/2 13/2 -.062500 . 176623 .022378 .000999 .016623 .156737

3 9/2 11/2 -.103125 .143856 .026156 .001417 .026640 .113935

3 9/2 9/2 -.068750 . 115 702 • \J C J f L £. . J U O H n ft 1 Q Q

3 9/2 7/2 .006250 .091919 .021439 .000928 .030014 .059534

3 9/2 5/2 .093750 .072356 .013358 .024737 .045739

3 9/2 3/2 . 171875 .057143 .015238 .041905

3 5 8 .096154 .208791 .011676 .000312 .206981

3 5 7 -.057692 . 175137 .018954 .000714 .013799 . 158743

3 5 6 -. 102564 . 145569 .022263 .000999 .022263 . 120594

3 5 5 -.074359 . L JL 7 KJ \J .021978 • yj \J \J 7 7 7 . U ^ 7 * H n Q 1 A 7 Q

3 5 4 -.003846 .097902 .018357 .000624 .025455 .070325

3 5 3 . 083333 .079545 .011364 .021 104 .056818

3 5 2 . 166667 .064935 .012987 .051948

3 11/2 17/2 .098214 .204082 .009973 .000231 .202650

3 11/2 15/2 -.053571 . 173700 .016253 .000523 .011635 .159971

3 11/2 13/2 -.101786 .146782 .019160 .000725 .018870 .125665

3 11/2 11/2 -.078571 .123 174 .000714 • \J c. £. L D ^ n Q ft Q 7 Q 3 11/2 9/2 -.011786 .102754 .015857 .000436 .021796 .079121

3 11/2 7/2 .075000 .085470 .009768 .018130 .065976

3 11/2 5/2 . 162500 .071429 .011132 .060297

3 6 9 .100000 .200000 .008617 .000174 .198849

3 6 8 -.050000 . 172336 .014085 .000392 .009942 .160682

3 6 7 -.100909 . 147645 .016652 .000538 .016189 .129583

3 -.081818 . 125813 .016521 • \J \J \J J C J » \J ]L 7 \J yj J 3 6 5 -.018182 . 106750 .013815 .000314 .018838 .086342

3 6 4 . 068182 .090424 .008477 .015699 .073587

•a o

1

. 159091 • uu 7O i -> n A 7 ^ n D

3 13/2 19/2 . 101563 . 196429 .007519 .000134 .195489

3 13/2 17/2 -.046875 . 171053 .012321 .000300 .008593 .161044

103
J + 1 *-

J -- J CASIMIR-S F *-F + 1

I J F FUNCTION F -f 1— F F F F - l«- F F 4- l«- F F ••- F

3 13/2 15/2 • 1 uuuuu . 148259 .014598 .000408 A 1 A A 1} A . U i f u 30 1 7 7 A C 1 • 1 3a6d 1 3 13/2 13/2 . 127959 .014505 .000392 A 1 A C 7 0

. 0 lot) f 0

1 A A 0 C A 3 13/2 11/2 -.023438 . 110086 .012131 .000232 .016423 .092325

3 13/2 9/2 .062500 .094620 . 007421 .013701 .079968

3 13/2 7/2 .081633 A A Q 1 7 "2 • UUo 3 1 i A 7 7 7 A A .Of 3^60

3 7 10 1 n "9 Q A 1 . 193277 .006618 .000105 1 Q 7 C A A • 1 Va jUU

3 7 9 » n A A 1 1 n . 169853 .010866 .000233 A A 7 C A A 1 A 1 t 7 A . 1 0 1 1 f U

3 7 8 . 148693 .012897 .000315 A 1 7 7 Q 1 1 7 A 0 1 . 1 3 DUO

3 7 7

«. n Q A A "7 . 129727 .012830 .000300 A 1 A C A 1 . U 1 4541 1 1 7 0 0 C .11 3ooD

3 7 6 -.027828 . 112905 .010729 .000175 .014431 .097332

3 7 5 .057692 .098214 . 006548 .012046 .085368

3 7 4 1 ^ ^ A A . 085714 A A 7 7 A 7 . UU 1 34 f A 7 0 7 A 7 . U f o36 f

3 15/2 21/2 . 190476 . 005869 .000083 1 0 A 0 7 A 3 15/2 19/2 — n A 1 A A 7 . U*t 1 OO / . 168734 . 009653 .000184 A A A A A ^

. UU6OU

1 A 1 1 7 7

• 16113 3

3 15/2 17/2 —. A Q O O 1 A . 148994 .011473 .000247 A 1 A 0 0 A . U 1 Uo 36 1 7 7 A 7 A .13 f 026

3 15/2 15/2 n Q Q n o CI . 131200 .011424 .000233 A 1 7 0 C 7 . U \.£.o Da 1 17 7 7 7

. 1 1 f A 3/: 3 15/2 13/2 -.031548 .115313 . 009553 .000135 .012773 . 101561

3 15/2 11/2 .053571 .101325 . 005818 .010666 .089984

3 15/2 9/2 1 K^ 7 Q A .089286 A AAA OA . UUOH V4 A Q 7 7 Q 7

3 8 1

1 n 9 A "a .187970 . 005240 .000067 T Q 7 A 7 A . 1 0 1 4^U

3 8 10 _ n ^ O A 7 A . 167692 . 008631 .000147 A A C Q 7 1 A A 0 Q CI . IOU7OD

3 8 9

^ A Q 7 3 A Q . 149197 .010271 .000197 A A 0 A 7 Q 1 7 0 G Q 7 . 1 3 OD 7 « 3 8 8

A Q Q A7

~ • UH7H f H , 132439 .010234 .000184 A 1 1 A '3 0 . U i 143(5 1 7 A A A A . 1aUU4U

3 8 7 -.034737 . 117389 .008556 .000105 .011380 . 105167

3 8 6 .050000 .104042 . 005202 .009504 .093963

3 8 5 .092437 • AUUDA c: 7(If77 A Q A A A A • UOOOOU

3 17/2 23/2 1 A A 7 A • L\JO£,D\J .185714 .004707 .000054 1 Q C« 7 A A

3 17/2 21/2 . A 1 7 K A A .166721 .007763 .000119 A AS* ^ "a A 1 A A 7 A 1 • 1 oU f 0

3 17/2 19/2 . A aA A 7 • U70D0^ . 149326 .009246 .000158 A A 0 A 1 7 1 '3 0 Q 7 A • 1 7 7 0 f 0

3 17/2 17/2 A OA A '9 — • U7UOA !> . 133492 .009218 .000147 AT A 7 A 7 1 7 7 A 1 A

3 17/2 15/2 -.037500 .119195 .007706 .000084 .010199 .108268

3 17/2 13/2 .046875 .106433 . 004678 .008518 .097422

3 17/2 11/2 1 A 0 A '2 Q . 1 4H43o .095238 A A 1 7 1 A OAA A 7 • U7UUO f

3 9 12 1 rt7 1 A ^ . I U / 1 4 i . 183673 . 004252 .000045 1 Q a 7 7 1 3 9 11 — n "a c 7 1 A • IJ3D f 14 .165816 . 007018 .000098 A A A A 00 1 A A A Q A

3 9 10 _ n oc 70 Q . 149399 .008366 .000129 A A 7 7 A 7 1 A AO 7 C 3 9 9

n Q 1 K Q 7 . 134393 .008345 .000119 • AUUA Q7 £7 ^71O

3 9 8 -.039916 . 120778 .006974 .000067 .009190 .110954

3 9 7 .044118 .108553 . 004229 .007675 .100452

3 9 6

1 A7 n a « 14 1 Up"» .097744 * AUU*f A AA0 RDHA AO'a AOA • U 73U7U

3 19/2 25/2 1 A7 OG R .181818 .003859 .000037 1 Q 1 AAQ

3 19/2 23/2 . 164972 .006376 .000081 AAA 7 A 1 AA 1 7 0 • I OUl r 7

3 19/2 21/2 — .U75UfO n Q c n 7 A ,149431 .007606 .000106 A A 7 A A • UU f U U5 •

1IHIAt 7f OAVU

3 19/2 19/2 A Q 0 A 7 A .135171 .007589 .000098 A A D 1 A 7 • UUo f

1 7 A 1 fi 0 • 1 ^0 loo

3 19/2 17/2 -.042045 . 122176 .006341 .000055 .008322 .113300

3 19/2 15/2 .041667 .110444 •003842 .006950 .103125

3 19/2 13/2 .145833 .100000 .004211 .095789

3 10 13 .108696 . 180124 .003518 .000031 . 179820

104
J + 1 — J J - J CASIMIR*S F -F + 1

I J F FUNCTION F + 1 F F F F — 1 F F + F F F

1 n -.032609 . 1

1 AOHA lot 1 Q A A A c; Q 1 7 A A A A A 7 . UUUUO

1

.003853 .159850

3 10 11 -.094394 . 149431 .006943 .000088 .006365 . 142508

3 10 10 -.093135 .135847 .006930 .000081 .007590 . 127698

i Q -.043936 1 ? A 1 7 A A 7 Q A . UU D 1 7U A A A A A C . (JUUUHO .007570 . 1 15360

-Xo 1 u

Qo .039474 1 1 9 1 A "> A A 7 Q AA .006322 . 105498

a5 i u 7 . 144737 1 n "7 n A

1

,003827 .098214

•X5 1

1

. 1 10000 1 7 "7 1 A >

» L 1 1 lH3 A A 7 A C A . UU A 9 39 A A A A 7 7

. 1 76908

i 1 i - .030000 1 A "> 7 *i nr\/. Q A A . UU4o 99 A A A A / O .003217 .159165

3 11 12 -.093143 . 149365 .005853 .000062 .005321 . 143606

3 11 11 -.094286 .136957 .005844 .000056 .006352 .130165

5 i u -.047143 1 *> c: c o o AAA Q Q

1

n n n n a 1 • U U U U 3 I .006340 . 118802

5 i i Q .035714 A A 7 Q K A . UUa 75U .005294 . 109519

1 1 I 1 Qo . 142857 « 1 UD !)7U . 003200 . 102390

1 9 i <1 .111111 1 7 A AH"^ • 1 I H OU 3 A A 7 7 7 . UU A D A 3 n n n n 1 A • UUU U 1

D

. 174418

-.027778 1 iL 1 A O AAA 1 O 7 r\ n r\ n "J Q • U UU U 3 -> .002725 . 158476

3 12 13 -.092029 . 149241 .004999 .000045 . 00451

3

. 144379

3 12 12 -.095169 . 137823 .004994 .000041 .005393 .132079

i 1

1

-.049758 1 O 7 1 1 A

» 1. d 1 Z it) A A y. 1 7 A . UU4 1 f U A A A A 7 7. (JUIJUa A .005385 . 121548

3

1 o

1 ^ lU .032609 1 1 7 /. Q Q .111 4o 3 A A 7 C 1 7 . UUa!> 1 f .004496 .112790

J y .141304 1 A O C 7 1 . 1 U O !> f 1 . 0027 14 . 105857

i 1 3 16 .112069 1 7 7 A 1 A .If <:414 A A 7 1 7 7 . UUa Iff A A A A 1 7 . (JUU U 1 A .172265

3 i 3 1 3 -.025862 1 A n ^ a A A A 7 A 1 1 . UU3o 1 1 A A A A 7 A . UUUUao .002338 . 157807

3 13 14 -.091034 .149086 .004319 .000034 . 003876 . 144928

3 13 13 -.095862 .138512 .004315 .000030 . 004635 . 133593

a 1 "a 1 9 -.051931 • I ^ O OOO . • UU 30U J • UU u U 1

o

.004629 .123782

1 O

1 1 L I .030000 m UUt 1 f J5 .003864 .115498

1 1 1 3 1

U

. 140000 • 111111 I 1 1 L i 1 .002331 . 108780

3J 1 / . 112903 • i f U

1

r. U U 1 O 7 o

rir\r\ r\r\o • UU U UU ^7 . 170385

1 O -.024194 1 Q "3 Q ^ • UU 3 i n n n n 9 n • U U U Ui: u .002028 .157168

3 14 15 -.090143 .148915 .003768 .000025 .003365 . 145319

3 14 14 -.096416 .139069 .003766 .000023 .004025 . 134810

3 1 4 1 3 -.053763 1 9 Q O A Q . 1 7 oty • U U 3 1 *t 3 • U UU u i z .004021 .125627

3

1 A 1 H 1 i .027778 .1^1 1 T 1 COO 7 C Q • UU 1

o

.003356 .117773

3 1

4

1

1

.138889 .113 3UU . 002023 .111277

3 L 5

1 Q . 1 13636 1 A Q fi 1 1 . i O O O 3 1 n n 1 A A n • u U X o o o m U U U UU # . 168731

3

1 c

1 3 1 / -.022727 1 D A n n 7 7 n • UU Z f f U • U UU U 1 J . 001776 . 156566

3 15 16 -.089342 .148738 . 003316 .000020 . 002948 . 145598

3 15 15 -.096865 .139525 .003314 .000017 .003528 .135804

3 1

5

1

4

-.055329 1 7 A O A C .13 U o6!> r\ n o 7 A A • UU^ fob n n n n no • uuuuuy .003525 .127173

3 15 1 3 .025862 1 o 7 7 Q • 1 A A loo •

r\UUn 1I AAA DOO .002942 .119710

3

1 c

L o 1 £. .137931 1 1 7 A 7 . 1 1 D aU < .001772 . 1 1 3435

3

1 z 1 o Iv . 1 14286 1 A 7 7 A 7 • 1 O / 3 1 f nn 1 A 7 Q • UU 1 *t f o . u u u u u o . 167263

3 1

6

1 8 -.021429 1 K 7 7 A c: n n "5 A A • UU^ *f -) o • u u u U I .001568 . 156001

3 16 17 -.088618 .148559 . 002941 .000015 . 002604 . 145794

3 16 16 -.097235 . 1 39904 . 002939 . 000014 .003118 . 1 36624

3 16 15 -.056682 .131739 . 002453 .000007 .0031 15 .128484

3 16 14 . U«:4 1 94 .124064 . 001477 r\ r\ n Ci • u u ^ o u U 1 9 1 7 A

3 16 13 . 137097 . 116883 .001565

1 .115318

105
J + 1 — J J - J

L A O 1 Hi I J F •-F 1

T1

1 J FUNCTION F -f 1 «- F F *- F F - 1 F F -t- l«- F F F 3 17 20 .114865 . 166023 . 001319 .000005 . 165952

3 17 19 -.020270 . 156982 .002192 .000010 .001395 .155472

3 17 18 -.087961 . 148383 .• 002626 vy \j \j C- \^ .000012 .002317 . 145929

3 17 17 -.097543 .140222 .002624 .000011 .002774 .137310

3 17 16 -. 057862 .132498 .002190 .000006 .002773 .129608

3 17 15 .022727 .125213 .001318 .002313 .122825

3 17 14 .136364 . 118367 .001393 .116975

3 18 21 .115385 . 164835 .001184 .000004 .164775

3 18 20 -.019231 . 156325 .001968 ,000008 .001248 .154978

3 18 19 -.087363 . 14821. 002358 . 000010 . 002074 . 146020

3 18 18 -.097802 . 140491 .002357 .000009 .002485 .137889

3 18 17 -.058901 . 133164 .001967 .000005 .002484 .130579

3 18 16 .021429 . 126230 .001183 .002072 . 124094

3 18 15 . 135714 .119691 .001247 .118444

3 19 22 .115854 .163763 .001069 .000003 .163711

3 19 21 -.018293 .155725 .001777 .000006 .001124 .154517

3 19 20 -.086816 . 148045 . 0021 30 .• 000008 V V*/ \j \^ \j . 00 1 868 . 146077

3 19 19 -.098022 . 140721 .002129 .000007 .002238 .138381

3 19 18 -.059822 .133751 .001776 .000004 .002237 . 131427

3 19 17 .020270 . 127137 .001068 .001866 .125216

3 19 16 .135135 .120879 .001123 .119756

3 20 23 .116279 .162791 .000970 .000003 . 162746

3 20 22 -.017442 .155176 .001613 .000005 .001017 . 154086

3 20 2

-.086315 . I 47886 . 00 1 933 . U V J. U 7 X .. 1X 4ft 1X nfi u o

3 20 20 -.098211 . 140919 .001932 .000006 .002027 .138805

3 20 1 9 -.060644 . 1 34274 . 001612 . \j \j \j J m \J\J C~\J C~\J . 1 1 73

3 20 18 .019231 . 127951 .000969 .001690 . 126214

3 20 17 . 134615 .121951 .0*01016 .120935

7/2 0 7/2 .000000 .416667 .333333 .250000

7/2 1/2 4 .000000 .343750 . 164063 .054688 .234375

7/2 1/2 3 .000000 .117188 . 164063 . 156250 . 3281 25 . 109375

7/2 1 9/2 .050000 .300000 .097222 .019444 .254630

7/2 1 7/2 142857 . 152778 . 126984 .053571 . 162037 .010582

7/2 1 5/2 . 107143 .053571 .096429 .100000 .160714 .089286

7/2 3/2 5 .062500 .270833 .064167 .008750 .247500

7/2 3/2 4 -.116071 .165000 .092812 .023438 .096250 .060000

7/2 3/2 3 -.044643 .085938 .091146 .041667 . 125000

7/2 3/2 2 , 133929 .031250 .062500 .062500 .093750 .062500

7/2 2 11/2 .071429 . 250000 . 045455 . 004545 .236364

7/2 2 9/2 -.096939 . 168831 .069264 .011905 .063636 .094697

7/2 2 7/2 -.081633 .104762 .074830 .020408 .091667 .019048

7/2 2 5/2 .025510 .056122 .065306 .028571 .089286 .000714

7/7 .153061 . VJ ^ ^ O V f • \J J J t £ ^

7/2 5/2 6 .078125 .234375 .033854 .002604 .225694

7/2 5/2 5 -.082589 . 169271 .053199 .006696 .045139 .115456

7/2 5/2 4 -.093750 .116071 .060268 .011161 .068571 .045268

106
J + 1 — J J - J CASIMIR^ F F -f 1

I J F FUNCTION F • F F F F - 1 «- F F l«- F F F 7/2 511 3 -.022321 .073661 .057292 .014881 . 073661 .00868

1

7/2 5/2 2 .078125 .040923 .046503 .016741 .063492 . 000496

7/2 5/2 1 . 16741

1

.016741 .030134 .015625 .0401 79 .022321

111 3 13/2 .083333 .111111 .026175 .001603 .216346

IIZ 3 11/2 -.071429 . 168269 .041958 .004058 .033654 .127872

1/2 3 9/2 -.097619 .123106 .048852 .006614 .052760 .066288

7/2 3 7/2 -.047619 . 085979 . 048375 . 008503 .059524 .027211

7/2 3 5/2 .035714 .056122 .042092 .008929 .056122 .006378

7/2 3 3/2 . 119048 .032738 .031746 .006944 .044643

7/2 3 1/2 . 178571 .014881 .020833 .026786 .008929

7/2 111 7 . 087500 .212500 . 020833 .001042 .208333

7/2 111 6 -.062500 . 166667 . 033854 .002604 .026042 .135417

111 111 5 -.098214 . 127604 .040104 .004167 .041667 .081845

111 111 4 -.062500 .094792 .040625 .005208 .048363 .044643

111 111 3 . 008929 . 067708 . 036458 .005208 .047619 .020833

111 111 2 .087500 .045833 . 028646 .003646 .040923 .007440

111 111 1 .151786 .028646 .018229 .029762 .001488

111 111 0 . 1 87500 .015625 .015625

111 4 15/2 . 090909 .204545 .016970 .000707 .201481

111 4 13/2 -.055195 .164848 . 027848 .001748 .020741 . 140050

111 4 11/2 -.097403 .130536 .033376 .002755 .033654 .093240

111 4 9/2 -. 071 892 .101240 .034282 .003367 .039773 .058993

111 4 7/2 -.009276 . 076599 . 031265 . 003247 . 040123 .035273

111 4 5/2 .065399 .056277 .024935 .002121 .035714 .020119

111 4 3/2 . 132653 .040000 .015556 .027500 .011852

111 4 1/2 . 178571 .027778 .016204 .011574

111 911 8 .093750 .197917 .014086 .000497 . 195597

111 911 7 -.049107 . 162997 .023285 .001218 .016903 . 142891

111 911 6 -.095982 .132468 .028139 .001894 .027706 . 101650

111 911 5 -.078125 .106061 .029167 .002273 .033144 .070417

111 911 4 -.022321 . 083523 . 026847 .002131 .033939 . 047784

111 911 3 .049107 .064631 .021544 .001326 .030777 .032481

111 911 2 .118304 .049242 .013258 .024242 .023674

111 9/2 1 . 171875 .037500 .014583 .022917

111 5 17/2 . 0961 54 .192308 .011878 .000360 .190508

111 5 15/2 -.043956 . 161 199 .019745 .000874 .014037 . 144599

111 5 13/2 -.094322 . 133741 .024005 .001345 .023182 . 107937

111 5 11/2 -.082418 . 109736 .025038 .00158° .027972 .079466

111 5 9/2 -.032051 . 089002 .023178 .001457 .028926 .058196

111 5 7/2 .036630 .071387 . 018648 .000874 .026515 .043290

111 5 5/2 . 107143 .056818 .011364 .021104 .034351

111 5 3/2 . 166667 .045455 .012727 .032727

111 11/2 9 . 0982 14 .187500 .010150 .000267 . 186075

111 11/2 8 -.03954

1

. 159493 .016946 .000644 .011841 .145574

111 11/2 7 - .092602 .134572 . 020696 .000981 .019668 . 1 12700

111 11/2 - . 085459 . 1 12588 .021684 .001145 .023882 . 086670

111 11/2 5 -.039541 . 093407 .020147 .001030 .024864 .066774

111 11/2 4 .026786 .076923 .016226 .000601 .022946 .052448

111 11/2 3 .098214 .063101 .009816 .018357 .043512

107
J+ 1—

J - J CASIMIR-S F ••-F + 1

I J F FUNCTION F + l«- F F F F - F F + F F— F lie 1 1 / z c . 162500 • 052083 . 0 1 1 048 .041035

lid. o IHI e ,100000 1 0 "3 1

• OUo 1 IZ « OOO^OZ . 1821 86

1/2 6 17 12 -.035714 .15 7 895 .01 4697 . 000485 .010121 . 146068

1 IZ 6 15/2 -.090909 .135 100 . 01801

. 000 733 .016888 . 1 16354

IfZ 6 13/2 -.087662 .114835 .018935 .000845 .020604 .092456

7/2 6 11/2 -.045455 .096999 .017636 .000749 .021555 .073849

1 IZ 6 9/2 .018831 .081518 . 014208 . 000427 .019980 .060148

1 IZ 6

-7/0 7/2 .090909 . 068 376 • 008547 . 016026 .051282

1 IZ 6 5/2 .159091 . 057692 .009615 . 048077

fie. 13/2 10 .101563 . 1 / 9ooo . Uu 1 boo A A 0 1 C ^

. 000 1 56 . 178750

1 IZ 13/2 9 -.032366 • 1 56406 . 012865 rt 1 "T 0

. 000 372 r\ r\ 0 T c f\ .0087 50 . 146241

1 IZ 13/2 8 -.089286 . 135417 . 0158 1

. 000558 . 0 14652 .119191

7/2 13/2 7 -.089286 . 1 16629 .016661 .000638 .017943 .097147

7/2 13/2 6 -.050223 .099968 .015545 .000558 .018838 .079719

1 IZ 13/2 5 •01 7717 . 085379 .012522 . 000312 .017514 .066635

1113/2 .084821 .072857 . 007500 . 0 14066 .057878

1 IZ 1 3/2 3 . 156250 . 062500 . 00841

.054087

1 IZ 7 21/2 . 102941 . 17647

. 006740 . 000123 . 175694

1 IZ 7 19/2 -.029412 . 1 55025 .01 1352 .000290 . 007639 . 146199

1 IZ 7 17/2 -.087750 . 1 35584 . 013983 . 000433 .012829 . 121415

7/2 7 15/2 -.090498 .118080 .014764 .000490 .015756 .100990

7/2 7 13/2 -.054137 .102451 .013791 .000424 .016587 .084626

1 IZ 7 11/2 - 006787 . 088660 . 0 1 1 107 . 000234 .015453 . 072128

1 IZ 7 9/2 .079670 . 076705 . 006629 .012419 .063507

1 IZ 7 7/2 .153846 . 066667 .007407 c n "i tr es .059259

1 IZ 15/2 1

. 104167 .173611 . 005979 . 000097 . 172961

1 IZ 15/2 10 -.026786 . 153743 .01 0089 . 000230 . 006726 . 1 460 1

1 1 z 15/2 9 -.086310 . 135646 . 012451 . 000 340 .011 324 . 123174

IIZ 15/2 8 -.091412 .119264 .013166 .000383 .013940 .104167

IfZ 15/2 7 -.057398 . 104550 .012310 .000328 .014706 .088761

IIZ 15/2 6 .002126 . 091474 . 0099 1.000179 .013721 . 07681

IIZ 15/2 5 .075255 . 080040 . 005898 .011029 . 068346

IIZ 15/2 4 . 151786 . 070313 . 006562 . 063750

IIZ 8 23/2 . 105263 . 171053 rt rt c 1

. 005339 .000079 . 1 70503

IIZ 8 21/2 -.024436 . 152555 n n n n ^ c. 009025 . 000 184 . 005968 .145731

IIZ 8 19/2 -.084962 . 135633 . 01 1 154 . 000272 .010067 . 124576

IIZ 8 17/2 -.092105 .120241 .011809 .000304 .012416 . 106817

IIZ 8 15/2 -.060150 . 106341 .011048 .000258 .013120 .092272

7/2 8 13/2 — 001 ftRO . 09391. 008891 .000139 .012255 0 0 C

. 080835

IIZ 8 11/2 .071429 . 082956 . 005279 . 009851 . 072535

IIZ 8 9/2 .150000 . 073529 . 005849 .067680

IIZ 17/2 12 . 106250 . 168750 • 004797 . 000064 . 16828

IIZ 17/2 1

-.022321 • 151453 • 008120 . 000 150 . 005330 . 145386

IIZ 17/2 10 -.083705 . 1 35566 .010048 . 000219 f\ /'\ fx ^\ ^ 0 009006 . 125701

IIZ 17/2 9 -.092634 . 121053 .010648 .000244 .011126 .109046

IIZ 17/2 8 -.062500 . 107883 .009967 .000206 .011772 .095278

IIZ 17/2 7 .096039 .008018 .000110 .011005 .084316

IIZ 17/2 6 .068080 .085526 .004751 .008846 .076190

IIZ 17/2 5 . 148438 .076389 .005242 .071147

108
J + 1 J J — J CASIMIR-S F ".-F + 1

I J f FUfiKITiON F + F F F F - F F F F F

111 9 . 1 0 f 1h 3 . 166667 . 004333 -• 000053 \J \J \J \J ^ J . 166263

7/2 9 Lot c. . 150429 . 007344 .000123 . 004789 . 14500

1

111 9 cVI c. r» Q •> C "2 . 135461 . 009097 . 000 179 .008105 . 126607

111 9 \H 1 i - n o n 1 "T • 0930 J f . 121733 .009648 .000198 .010025 .110935

111 9 \ I 1 d. — • 06452 6 . 109220 .009035 .000166 .010619 .097869

111 9 1511 -.008403 .097910 . 007265 . 000088 .009933 . 087348

7/2 9 13/2 .065126 . 087807 . 004298 . 007982 .079399

7/2 9 11/2 . 147059 . 078947 . 004723 .074224

7/2 19/2 1

3

. 107955 . 1 64773 . 0039 34 . 000044 . 164423

7/2 19/2 12 - . 018669 . 149476 . 006673 . 000 101 . 004327 . 144592

7/2 19/2 1

1

- . 081439 . 135329 . 008274 . 000 148 . 007331 .127341

111 19/2 10 — . 093344 . 122307 .008781 .000162 .009078 .112548

111 19/2 9 — . 0662 88 .110390 .008225 .000135 .009624 .100119

111 19/2 8 -.011093 . 099567 . 006612 . 000071 . 009007 .090006

111 19/2 7 .062500 . 089844 . 003906 .0072 37 .082237

111 19/2 6 . 145833 . 081250 .004276 .076974

7/2 10 nil • 1 08696 . 163043 . 003587 . 000037 . 162738

7/2 10 25/2 -.017081 . 148587 . 006090 . 000085 .003928 . 14417

1

111 1

0

1311 -.080418 . 135178 . 007557 .000123 . 006662 .127937

111 10 nil -. 093576 . 122794 .008024 .000134 .008258 .113933

111 10 19/2 - . 067833 .111418 .007518 .000111 .008761 . 102084

111 10 17/2 -.013485 . 101 043 . 006042 . 000058 . 008202 .092 352

7/2 10 15/2 .060150 .091673 - 003565 •006589 .084760

7/2 10 13/2 . 144737 , 083 333 .003889 .079444

7/2 1

1

29/2 . 1 10000 . 160000 . 003017 . 000026 . 159764

7/2 1

1

nil — . 0 14286 . 146983 . 005131 . 000060 .003280 . 143322

7/2 1

1

1511 -.078571 . 1 34843 . 006374 . 000087 .005572 .128815

111 11 13/1 -. 093878 . 123565 .006775 .000095 .006917 .116171

111 11 nil -. 070408 .113138 .006350 .000078 .007347 . 105337

111 1

1

19/2 -.017551 . 103556 . 005100 . 000040 . 006882 .096288

7/2 1 1 17/2 .056122 . 094823 . 003003 .005526 .089045

111 1

1

15/2 . 142857 .086957 .0032 55 .083701

111 12 31/2 .111111 . 1 57407 . 002573 .000019 .157221

111 12 29/2 -.011905 . 145575 . 004381 . 000044 .002779 . 142493

111 12 nil - . 076950 . 134489 . 005448 . 000063 . 004728 .129396

111 12 25/2 - . 094030 . 124137 . 005794 .000068 .005876 .117878

111 12 23/2 -.0 72464 . 1 14513 .005431 .000056 .006246 . 107901

7/2 1

2

21/2 -.020876 . 105611 . 004360 . 000028 . 005853 .099449

7/2 12 19/2 .052795 .097436 . 002564 . 004698 . 092539

7/2 1 2 nil . 141 304 • 090000 .002763 ,087237

7/2 1 3 33/2 . 1 12069 .155172 - 002220 .000015 • .155022

111 1

3

31/2 -. 009852 . 144331 . 003784 .000033 . 002385 .141701

7/2 1

3

29/2 -.075517 . 1 34 133 . 004709 . 000047 .004062 . 129775

111 13 nil — . 094089 . 124568 .005011 .000051 .005052 .119203

111 13 25/2 -. 0741 38 .115632 . 004698 .000041 .005374 . 109960

111 13 23/2 -.023645 .107321 . 003770 . 00002

1

. 005037 .102033

111 13 21/2 . 050000 . 099638 .002214 .004041 .095436

111 13 19/2 . 140000 .092593 .002374 .090218

109
J + 1 — J J -- J CASIMIR'S F *-F + 1

I J F F + I*- F F ••- F F - 1*- F F -f 1'^ F F F

1 u s / ? . 1 12903 1 S 77f\ no 1

Q

nnnn i

.153103

1I 4H J J 1 c. -.008065 1 U'X77 h nn 1 . UU J J\J L . nU nU nVJ nU ^7 R7 .002069 . 140956

7 / ? "WD L 1/ c.7 -.074245 • 1L ^'^7H«; J D 1 O J • nnnn \J \J KJ \J J^aO .003527 .130015

1/2 14 29/2 -.094086 . 124897 .004375 . 000038 .004390 .120249

1/2 14 27/2 -.075525 .116557 . 004102 .000031 .004671 .111640

1/2 125/2 -.025986 . 108 763 . 003291 nnnn 1 ft -004379 .104178

If? Ire. 1 4. e.7'KJ 1/ e.7 .047619 1 m s 1 7 nn 1

. U U i 7 J i. .003512 .097874

Ire 1 i*

e.7 L\ 1/ e.7 . 138889 nQ4ft9 ft .002061 .092766

ire. 1 "Kl J 1 1/ e.7 . 1 13636 •

1L SJ 1L SJ X.1 sJ . nnyjyj 171 f 0 7 n nn nnQ .151414

1Ire. J 7 1 c 1 I> -.006494 1 A9 9 7 . U U ^ 7 U *T nnnn7n .001812 . 140259

1/7 L ZJ 'K'K/ J 0 1 e.7 -.073108 • 1 J J 1 . nnU VJ ^/i J> O 1i Ho Annn7fl .003090 .130157

1/2 15 31/2 -.094044 . 125150 .003853 .000030 .003849 .121086

1/2 15 29/2 -.076691 . 117332 .003612 .000024 .004097 .113029

f / C. 1 ^ e.71/7 I 1 C -.027989 •

11 HQQQA U 7 7 7 H • nnu U ^9 ftO Q77 # nnnn 1

.003841 . 105982

Ire. 1 !> e.j 7^/71 e. .045567 nn 1 A Qo .003080 .099952

7 / ? i 9

7'\ e. J 1/ e.7 .137931 HQ A 77

.001806 .094968

If? 1 A 1 e. .114286 nn 1 snft m \J\J\J \J\J f .149915

7 / P 1i AD "Xl J I 1/ c.7 -.005102 1 A 1 '^AQ nn 9 *i 7S nnnm s .001600 .139609

1/7 1 o jjle. -.072087 • nn^ U U J t9 nQU 7 nnnn 9 9 .002730 .130231

1/2 16 33/2 -.093976 . 125347 .003418 .000023 .003402 .121763

1/2 16 31/2 -.077683 .117989 .003205 .000018 .003622 .114194

1/7 1 o 9Q / 9 -.029724 •1L1L1L Ci^l yjj i » nn\J\Je.J 7 7n1 U nnnnn Q .003396 . 107517

1/7 ire. c.01% i c.0 .043779 1 n A SS *i nn 1 RnA .002723 . 101742

1/7 I r c. 1 A 9 *i / 9 .137097 noft Aft

.001596 .096889

1/7 1 r A 1 / 9 .114865 1 A ft AAO nn 1 '14. A nnn nn*5 .148577

1/7 lie. 1 7 Q / 9 -.003861 1 AO AA . nn? U U ^ t7QQ7 7 nnnn i

.001423 .139005

1/7 Ire. 1 7 "Kl to -.071 165 • 1 9 ft ^ 1 L J C. O Zf L . nnu u ^7fio o o nnnni .002429 . 130257

1/2 17 35/2 -.093893 . 125500 .003053 .000018 .003028 . 122318

1/2 17 33/2 -.078536 .118551 .002863 •000015 .003225 .115179

1/7 1 r c

1 7 J 1i. // p^ -.031239 • 111 111 Qfl4 70*r . nn\J \j e.? e.7 q7 sJ nnnnn7 .003024 , 108838

1/7 Ire. 1 7 e.7Q7 1/ c.7 .042208 no 1 .002424 .103299

1/7 Ire. 1

1. 7f e.71/7 1 1 e. .136364 1 nnnnn .001420 .098580

1/7 lie. L.'X *\ / 7 J 1 e. .115385 • i *T f *T J O nn 1 7 n H n r\ ci n n Zi. .147375

1/7 Ire. 1 fl 1 o tt. *r \L // e.7 -.002747 .1t "iQftl J " O 1 71 nn 7n A R nnnn 1

.001274 .138443

1/7 Ire. 1 ft 3"XQ7// e.7 -.070330 . nU nU ^7 7 71 R7 nnnm a .002176 .130247

1/2 18 31/2 -.093799 . 125620 .002743 .000015 .002713 .122776

1/2 18 35/2 -.079278 .119038 .002572 .000012 .002890 .116022

tic. 1 ft ^ / 9 -.032575 1 \ 71QR nn 9n A

. W u U UU O . 002709 . 109984

1 ft O 1 / ^ .040816 1 HAOn

• nni \J\J L c.\J 9n71 .002171 . 104665

7/9 1 ft 9Q / 9 .135714 .001271 .100080

1 Q AS / 9 .115854 1 4A 141 nn 1 no

. 146289

1 Q A'ti / 9 -.001742 1 a Q 1 <; . i J 7 LOj nm ft AA nnnnnfl .001147 .137919

7/9 1 Q A 1 / 9 -.069569 .1L O ^9 ^77ft f O nn 9 9 A nnnn 1

.001960 .130212

1/2 19 39/2 -.093700 . 125715 .002478 .000012 .002444 . 123157

1/2 19 31/2 -.079927 .119462 .002324 .000010 .002604 .116750

112 19 35/2 -.033760 .113518 .001862 .000005 . 002441 . 1 10987

1/2 19 33/2 .039575 i 107885 .001090 .001956 . 105873

1/2 19 31/2 .135135 . 102564 .001145 . 101419

1/2 20 'fl/2 .116279 . 145349 .000990 .000003 .145304

110
J + 1 — J J *- J CASIMIR'S F -F -f 1

I J F F •• F F F F - 1 «- F F -f I*- F F F 111 20 45/2 -.000831 . 1 38545 . 001692 . 000007 .001038 . 137432

112 20 43/2 -.068873 . 132026 .002111 .000009 .001774 . 130159

7/2 20 41/2 -.093598 .125789 .002250 .000010 .002213 . 123477

7/2 20 39/2 -.080501 . 1 19834 .002109 .000008 .002358 .117382

111 20 37/2 .114160 .001690 .000004 .002211 .111871

7/2 20 35/2 .038462 . 108767 .000989 .001772 . 106948

7/2 20 33/2 . 103659 .001037 . 102622

4 0 4 .000000 .407407 .333333 .259259

4 1/2 9/2 .000000 . 333333 . 164609 .057613 . 226337

4 1/2 7/2 .000000 .113169 . 164609 .166667 .329218 . 1 15226

4 1 5 . U U U U U . 288889 .097778 -020741 . 244444

4 1 4 -.137500 .146667 . 128333 .058333 . 162963 .008333

4 1 3 .098214 . 050926 . 097222 .111111 . 162037 .097222

4 3/2 11/2 .062500 .259259 . 064646 .009428 .236364

4 3/2 9/2 . 157576 . 094276 .025926 .096970 .054059

4 3/2 7/2 -.049107 .081481 .093122 .'047619 . 126749 .000235

4 3/2 5/2 . 122768 . 029 101 .063492 . 074074 .095238 .07 1429

4 2 6 .071429 .238095 .045855 .004938 .224691

4 2 5 -.089286 . 160494 .070617 .013333 .064198 .086914

4 2 4 — n ft 9 Q n ft . 099048 .077143 .023810 . 093333 .015000

4 2 3 .014031 . 052381 . 067901 .035273 . 091667 .002160

4 2 2 . 140306 .019400 . 044092 .047619 .061728 . 049383

4 5/2 13/2 .078125 .222222 . 0341 88 .002849 .213675

4 5/2 11/2 -.074219 . 160256 .054390 .007576 .045584 . 106605

4 5/2 9/2 -.092634 .109428 .062530 .013228 .070034 .038961

4 5/2 7/2 . 068783 . 060469 .018896 .076190 . 005442

4 5/2 5/2 .061384 . 037415 .049887 .023810 .066515 . 002268

4 5/2 3/2 .153460 . 014550 . 03 1746 .027778 .042328 .031746

4 3 7 .083333 .209877 .026455 .001 764 .204082

4 3 6 -.062500 . 1 58730 . 042989 . 004630 .034014 .118323

4 3 5 -.094643 .115741 .050926 .007937 .054012 .058686

4 3 4 -.055952 . 080247 .051587 .011023 .061905 .021429

4 3 3 n 1 7 ft ^ 7 . 051587 . 046296 . 0 13228 .059524 . 003086

4 3 2 .098214 .029101 .036376 . 0 13889 . 048501 .001102

4 3 1 .163690 .012125 .023148 .012346 .029762 .017857

4 7/2 15/2 . 087500 .200000 .021070 .001 152 .195885

4 7/2 13/2 -.053125 . 156708 .034745 . 002991 .026337 .125372

4 7/2 11/2 -.093750 . 1 19658 . 041958 . 00505

1

.042735 .073427

4 7/2 9/2 -.069196 ,088384 .043646 .006859 .050505 .037433

4 7/2 7/2 -.008929 .062414 .040760 .007937 .050950 .014809

4 7/2 5/2 n A "7 Q A. A .041270 .034286 .007778 . 045351 . 003061

4 7/2 3/2 .127679 . 024444 .025350 . 005 76

1

. 03492

1

. 000059

4 7/2 1/2 .171875 .01 1317 .016461 .020576 .007202

4 4 8 n Q r\ Q n Q .191919 .017172 .000786 . 188889

4 4 7 -.045455 .154545 .028620 .002020 .020988 . 129630

4 4 6 -.091721 .122110 .035017 .003367 .034568 .084259

111
J + 1 — J J - J

^ M O ' " O F «-F -t- 1

I J F Function F -f 1 F F F F — 1 F r I r r r 4 5 -.077110 .094276 .037037 .004489 . 041667 .050926

4 4 4 -.026670 .070707 .035354 .005051 . 0432 10 . 027778

4 4 3 .038729 .051066 - 030640 . 004714 .040123 .012963

4 4 C. .035017 . 023569 .003143 .033333 .004630

4 4 1 .151786 .022222 .014815 .023765 .000926

4 4 0 . 178571 .012346 .012346

4 9/2 17/2 .093750 .185185 .014260 .000555 .182888

4 9/2 15/2 -.039063 .152406 . 023957 .001414 .017112 .132173

4 9/2 13/2 -.089286 . 123636 . 029588 .002331 .028492 .092254

4 9/2 11/2 -.082031 .098627 .031645 .003061 .034810 .061793

4 9/2 9/2 -.039063 .077135 .030609 . 003367 .036731 .039463

4 9/2 1/2 .021205 .058923 .026936 .003030 .034917 .023957

4 9/2 / 'J n Q 7 r\ <i .043771 .021010 .001886 .0 30014 .014026

4 9/2 3/2 . 136719 .031515 .012929 .022626 .008649

4 9/2 1/2 .171875 .022222 .013169 .009053

4 5 9 .096154 .179487 .012029 .000403 .177703

4 5 8 -.033654 . 150364 .020333 .001020 .014216 . 133637

4 5 7 -.086767 . 124563 .025287 .001665 .023864 .098214

4 5 6 -.085165 . 101898 .027257 .002158 .029437 .070451

4 5 5 -.048077 . 082 189 . 026591 .002331 .031425 .049383

4 5 4 .008013 .065268 .023601 .002040 .030303 .034091

4 5 .050991 .018508 .001209 .026515 .023765

4 5 2 .125000 .039282 .011223 .020426 .017957

4 5 1 .166667 .030303 .012121 .018182

4 11/2 19/2 .098214 .174603 .010282 .000300 . 173189

4 11/2 17/2 -.029018 . 148448 .017464 .000754 ,011996 .134408

4 11/2 15/2 -.084311 . 125093 .021834 .001221 .020263 .102710

4 11/2 13/2 -.087181 .104396 .023669 .001565 .025175 .077359

4 11/2 11/2 -.054847 . 086221 . 023225 .001665 .027095 .057645

4 11/2 9/2 -.002232 .070448 .020720 .001425 .026371 .042912

4 11/2 7/9 lie r\ Q n '2 A .056980 .016280 .000814 .023310 .032634

4 11/2 5/2 .115625 .045788 .009768 .018130 .026651

4 11/2 3/2 . 162500 .037037 .010774 .026263

4 6 10 .100000 .170370 .008889 .000228 .169231

4 6 9 -.025000 . 146667 .015157 .000570 .010256 .134726

4 6 8 -.081981 . 125356 . .019027 ,000916 .017411 . 106139

4 6 7 -,088474 . 106329 .020713 .001163 .021749 .082908

4 6 6 -.060065 .089482 . 020408 .001221 .023548 .064500

4 6 5 -.010390 .074725 .018266 .001026 .023063 .050441

4 6 4 . U4oo64 .061994 .014359 .000570 .020513 .040385

4 6 3 . 107955 .051282 .008547 .016026 .034307

4 6 2 .159091 .042735 .009497 .033238

4 13/2 21/2 . 101563 . 166667 .007760 .000176 . 165734

4 13/2 19/2 -.021484 . 145018 .013274 .000439 .008869 .134747

4 13/2 -.079799 .125439 .016718 .000700 .015115 .108781

4 1.3/2 15/2 -.089286 . 107843 .018259 .000882 .018961 .087401

4 13/2 13/2 -.064174 .092152 .018044 .000916 .020621 .070202

4 13/2 — . U 1 f U^U .078297 .016184 .000758 .020287 .056835

4 13/2 9/2 .041295 .066234 .012720 .000412 .018115 .047068

4 13/2 7/2 . 101563 .055967 .007525 .014182 .040938

112
J + 1 — J J - J CASIMIR*S F -.-F + 1

t1 r UnrV« 1 \\jn F + F F «- F F - F F + F F-^ F 4 13/2 5/2 • 1 56250 .047619 .008373 .039246

7 1 \ • A. V/ 1. ~ ~ X . 163399 .006833 .000139 . 162626

7 10 —.01 83fl7 . 143494 .011719 .000343 .007744 . 134571

7 9 -.077771 . 125398 .014798 .000545 -013241 . 1 10833

4 7 8 089771 .109041 . 016204 .000681 .016667 .091071

7 7 .094363 .016048 .000700 .018188 .074972

u 7 5 • W t. t. \J J .081310 .014414 .000572 .017952 .062273

7 5 .034947 .069853 .011324 .000305 .016071 .052817

7 4 .096154 .060000 . 006667 .012593 .046667

7 3 • 1 53846 .051852 .007407 .044444

u IS/? ? / ? . 1 n4 1 A7 .160494 . 006062 .000111 . 159847

IS/? ? 1 / ? — n 1 Sft? s . 142086 .010420 .000272 .006820 .134266

•t 1 1/ c.? 1 Q / ? • \J 1 O 7 J . 125272 .013187 .000430 .011692 . 112439

4 17/? — « fiQfin'^n 7 U J u . 109998 .014468 .000534 .014757 .094095

•t IS/? IS/? — n7n 1 s .096213 .014353 .000545 .016148 .078987

A. IS/? L J f £. — f)?7 1 n s . 083878 .012904 .000440 .015977 .066917

4 \5/Z 11/2 .029549 .072971 .010131 .000231 .014329 .057775

4 15/2 9/2 .091518 . 063503 .005942 .011230 .051630

A, IS/? 7 / ? 1 SI Tf{f\ .055556 .006584 .048971

*T QO 1 ? .

11 ns?A"? W ^ ^ D J .157895 .005415 .000089 . 157347

A

*T oo

1 1

i. 1 — n 1 1 s ft . 140784 .009324 .000219 .006052 .133877

A•t o 1 n — n74i Si . 125090 .011821 .000344 .010398 . 1 13703

A

•t oa q — . nqm VJ 7 U i 3 ^? . 110767 .012991 .000425 .013154 .096606

A"T oo

oo — fl 7? A ft .097776 .012905 .000430 .014423 .082390

A Qo 7f — 1 n 1

s

. 086085 .011610 .000344 . 0 14297 .070903

4 8 6 .024906 .075679 .009110 .000178 .012838 .062068

4 8 5 .087500 .066570 .005326 .010061 .055952

ao 1 snnnn .058824 .005882 .052941

A 17/? ? s / ? 1 nA?sn .155556 .004865 .000073 .155088

A 17/? ? / ? — n 1 fiQ 7 .139579 .008391 .000178 .005406 .133436

A

•t 17/? ? 1 / ? — n7? sziS . 124869 .010655 .000278 .009306 .114702

A 17/? 1 Q / ? — flQf) 1 ? .111390 .011725 .000342 .011794 .098707

A 17/? 17/? — 074 ? 1 Q .099107 .011660 .000344 .012955 .085295

17/? IS/? . 087998 . 010494 .000273 .012861 .074347

4 17/2 13/2 .020871 .078051 .008229 .000140 .011558 .065806

4 17/2 11/2 .083984 .069276 .004798 .009056 .059737

A"T Life. 17/9 . 1 H o ? 3 o .061728 .005282 .056447

Q 1 ^ 1 n7i 4"* . 153439 . 004396 .000060 .153036

A

•t Q 1i ^9 — . nnftQ?Q U U O 7 ^ 7 . 138462 .007591 .000146 .004858 . 132964

A

*r Q 1

1

— n 7 1 ns . 124624 . 009651 .000228 .008377 . 1 15494

A Q 11 nu . U 7 U U J O . 111896 .010633 . 000278 .010633 .100478

A*t Q Q — n7 s 7ft n .100251 .010582 .000278 .011696 .087791

A

•t Q7

Qo .089669 . 009527 .000219 .01 1624 .077338

4 9 7 .017332 .080141 .007467 .000111 .010453 .069079

4 9 6 .080882 .071679 . 004344 .008187 .063071

A•t 1 47flS<l .064327 . 004765 .059562

4 19/2 21/2 . 107955 .151515 .003991 .000050 . 151166

4 19/2 25/2 -.007102 . 137424 . 006900 .000121 .004390 .132476

4 19/2 23/2 -.069670 . 124364 .008781 .000188 .007579 .116122

113
J + 1 *-

J -• J CASiMiR-S F •-F + 1

I J F FUNCTION F + F F F F - l«- F F F F F 4 19/2 21/2 • U O ~ O 7 ^ .112309 . 009684 .000229 n n <3 A ^ 1 n 1 Q ft 1 . X U 1 7 0 X 4 19/2 19/2 — n77 1 1

.101239 .009644 .000228 n 1 n A HQ n ft Q 0 n 19/2 17/2 • U J ^ 0*T u . 091 137 . 008685 .000178 n 1 n <\ R ti . U X u ? D ^ . U 1 7 7 3 J 19/2 15/2 .014205 .081996 .006803 .000090 .009494 .071961

19/2 13/2 .078125 .073827 .003951 .007433 .066026

4 19/2 11/2 • i H -> O J 0 .066667 • UUH 5 i o A A "!> A Q

4 10 14 • A u o o ? o . 149758 .003639 .000042

4 10 13 • U VJ U t J TJ .136458 .006298 .000101 • nnu u ^ Q^ ftO R->

1 1 Oft 7 4 10 12 • LI O O J O "T . 124095 .008023 .000157 A n A ft ftQ • u u O O O 7 1 1 A A 1 Q

4 10 11 — n ftQ 7 1 s . 112648 .008855 .000190 onft 7 A

• 1 u ^ ^ 0 ^ 4 10 10 o \J f \j C~ J D . 102099 .008823 .000188 AAQ A AA AQ 1 ft 9 7 4 10 9 — O^? Oft Q . 092436 . 007947 . 000 146 A A Q A ?n A ft 7 0 C 1 • U 0 ^ ^ D I 4 10 8 .011421 .083652 .006222 .000073 .008658 .074513

4 10 7 .075658 .075758 .003608 .006776 .068659

4 10 6 .068783 nn "XCi A A A ft C\ "3 « UOHC3 D 5

4 115 1 1 nnnn . 146667 .003062 .000030 1 A AA

4 1

14 « \J\J C. J\J\J .134716 .005308 .000072 A A :i -2 o o• \J\J D O CO 1 "1 1 AAA. • 1^1 UU*t 4 11 13 — n A A n 7

. U O O U f 1 . 123551 .006773 .0001 11 n rm 7 AA. • L I i DC. D 4 11 12 . U O 7 ^ o o .113155 .007484 .000134 A A7 :> A ft • \J\J 1 jHO

4 11 11 — n ft n 1 n 9 .103516 .007464 .000132 A A Q 1 1 >

• U U O I I J A Q AO 1 A 4 1

10 — ft A 7 . 094625 .006723 . 000101 n Aft A ft <\ A ft A Aft <\ • U 00 Uo 3 4 11 9 .006684 .086478 .005259 .000050 .007279 .078815

4 18 .071429 .079084 .003042 .005693 .073139

4 17 .072464 nAQi 7n

4 12 16 . 111111 L 1 1 1 1 X . 144033 .002612 .000022 1 & Hft&

4 12 15 nnnnnn .133191 .004534 .000053 . u u ^ O ^ X 4 12 14 — . flA^fTi UO*tU J J .123016 ,005791 .000081 . 117 X X 1 711 f 3 X 4 12 13 — Dflflftl 1 . U O O O 1 L .113497 .006406 .000097 1 HA ft 1

4 12 12 — nft 1 7 ? . 104624 ,006392 .000095 nQ7 'H ? 4 12 1

. 096391 . 005758 . 000073 . \J \J \J O O J flHQ 1 'H 7 4 12 10 .002804 .088797 .004501 .000035 .006200 .082287

4 12 9 .067935 .081846 .002598 .004846 .076800

4 12 8 .075556 nn ? 7 qs

4 13 17 • 1, 1 1 U O 7 . 141762 .002254 .000017 . X

1 4^ X1 A0 11 £7 4 13 16 no p 1 s *\ . 131846 .003917 .000040 • \J\J £.*r C L . X1 ^?Q17 X 771 1 4 13 15 . 122503 .005008 .000061 .

1XI1 7QQ<> 17 7-? 4 13 14 — n ft R ^ 9 *\ .113726 .005543 .000072 .

1I nftn uou^9 A0

4 13 13 — Aft ? A ^ S .105507 .005534 .000070 • U 7 7^ J 1 4 13 12 .097842 . 004985 . 000053 . r\q U 7 1X Ann 0 UO

4 13 11 -.000431 .090730 .003894 .000026 .005342 .085136

4 13 10 .065000 .084175 .002245 .004173 .079841

4 13 9 • 1 HUUUU .078189

4 14 18 • L I. C^\J O .139785 .001965 .000013 . X

1 HQAA7 ^ 7 0 0 ^ 4 14 17 .130652 .003417 .000031 . nnUU^? 1X nnuu

4 14 16 • UOU # u o . 122018 .004373 .000046 nfTHAS I . X

1 1Xft0 1X1X A0

4 14 15 • UO f 0*tO .113877 .004842 .000055 .

1X nftQ'HS u 0 7 J 3

/. 1 L. • UUHO DO • UUUU? D DOS 1 AQ 1 nn7fl

. X u u 1 0 X 4 14 13 -.053507 .099052 .004356 .000040 .005161 .093639

4 14 12 -.003168 .092365 .003401 .000019 .004648 .087508

4 14 11 .062500 .086164 .001958 .003629 .082404

114
J + 1 <^ J J <^ J

C A 5 1 M 1 H^S F F + 1

T

I

1 F FUNCTION F -f 1 «- F F F F - 1 F F -f F F «- F 4 14 10 .138889 . 080460 - 002090 .078370

4 15 19 .113636 . 138047 . 001728 .000010 . I 37946

4 15 1

8

.005682 . 129585 . 003007 .000024 .001839 . 127577

4 15 17 -.059309 .121 562 . 003850 .000036 . 003200 . 1 18152

4 15 16 -.087382 .113971 . 004266 .000042 .004096 . 109648

4 15 15 -.084248 . 106809 . 004261 . 000041 . 004536 . 102045

4 15 14 -.055279 . 100073 .003839 .000031 .004530 .095332

4 15 13 -.005514 .093764 . 002996 .000015 .004080 .089509

4 15 12 • U O U J .087883 . 001723 .003184 .084589

4 15 1

1

.137931 . 082437 .001832 .080605

4 16 20 .114286 . 136508 .001531 .000008 . 136423

4 16 19 .007143 . 128627 . 002667 .000019 .001624 . 126861

4 16 18 -.058056 .121135 . 003416 .000028 .002828 .118131

4 16 17 -.086940 . I 14025 . 003786 .000033 .003621 .110212

4 16 16 -.084842 . 107296 . 003783 .000032 . 0040 12 . 103091

4 16 15 -.056797 . 100946 .003408 .000024 .004008 .096760

4 16 14 -.007546 .094973 .002659 .000011 .003610 .091217

4 16 13 • U D OHO O .089381 . 001528 .002816 .086474

4 16 12 .137097 .084175 .001619 .082556

4 17 21 .114865 . 135135 .001366 . 000006 . 135063

4 17 20 .008446 . 127763 .002381 .000015 .001445 .126198

4 17 19 -.056928 . 120736 . 003051 .000023 .002516 . 1 18069

4 17 18 -.086522 . 1 14051 . 003383 . 000026 .003224 . 1 10663

4 17 17 -.085337 . 107706 .003380 .000025 . 003573 . 103968

4 17 16 -.058112 . 101698 .003045 .000019 .003570 .097976

4 17 15 -.009323 .096029 .002375 .000009 .003215 .092689

4 17 14 . 090700 . 001364 . 002508 .0881 15

4 17 13 .136364 . 085714 . 00 1441 .084274

4 18 22 .115385 . 133903 .001227 .000005 . 1 33842

4 18 21 .009615 . 126978 . 002 139 . 000012 .001293 . 12 55 82

4 18 20 -.055907 . 120363 . 002742 . 000018 .002254 . 1 1798 1 4 18 19 -.086126 . 1 14055 . 003040 . 00002

1

. 002888 .111026

4 18 18 -.085754 . 108052 . 003038 . 000020 . 003203 . 104708

4 18 17 -.059262 . 102353 .002737 .000015 .003200 .099023

4 18 16 -.010891 .096958 .002134 .000007 .002882 .093970

4 18 15 .091868 . 00 1225 .002247 .089556

4 18 14 .135714 .087087 .001290 .085797

4 19 23 .115854 . 132791 . 001 108 . 000004 .132739

4 19 22 .010671 . 126264 .001931 . 000010 . 00 1 1 64 . 125011

4 19 21 -.054978 . 120016 . 002477 . 000015 .002030 .117874

4 19 20 -.085754 . 1 14044 . 002747 . 000017 . 002603 . 1 11320

4 19 19 -.086107 . 108349 . 002746 . 000016 . 002886 . 105340

4 19 18 -.060275 . 102928 .002473 .000012 .002885 .099931

4 19 17 -.012283 .097782 .001928 .000006 .002598 .095092

4 19 16 r\ C A n A . 092911 . 001 106 .002025 .090830

4 19 15 . 135135 . 088319 . 00 1 162 .087157

4 20 24 .116279 ,131783 .001005 .000004 .131737

4 20 23 .011628 .125610 .001753 .000008 .001054 .124479

4 20 22 -.054130 .119691 .002248 .000012 .001838 . 1 17756

115
J + 1 — J J J

r A c 1 ^ 1 pic

k„ M O 1 M 1 n J F -^F + 1

I J F Function F -f 1*- F F *- F F - l«- F F -t- l«- F F *- F 20 21 -.085404 .114022 . 002494 .000014 .002357 .111559

20 20 -.08641

. 108604 . 002493 . 000014 . 0026 I 5 . 105883

20 19 -.061174 .103436 .002245 .000010 .002613 . 100724

20 18 -.013529 . 098516 . 001 750 .• 000005 \J \J \J \J \J J . 002353

4 20 17 .052885 .093847 .001004 .001834 .091965

4 20 16 . 1 3461

.089431 .001052 .088379

9/2 0 9/2 .000000 .400000 . 333333 .2bbbbl

"ill 1/2 5 .000000 . 325000 . 165000 .060000 .220000

9/2 1/2 4 .000000 .9 1X 10000 A. V/ W V/ V-/ . 1 65000 - 175000 . 330000

9fZ 1 11/2 .050000 .280000 .098182 .021818 .236364

9/2 1 9/2 -.133333 . 141818 . 129293 .062222 .163636 .006734

9/2 1 7/2 .091667 .048889 .097778 .120000 . 162963 .103704

9/2 3/2 6 .062500 .250000 .065000 .010000 .227500

9/2 3/2 5 -. 104167 . 151667 .095333 .028000 .097500 .049500

9/2 3/2 4 -.052083 .078000 .094500 .052500 . 128000 .000750

9/2 3/2 3 .114583 .027500 .064167 .083333 .096250 .078750

9/2 2 13/2 .071429 .228571 . 0461 54 . 005275 . 215385

9/2 2 11/2 -.083333 .153846 .071608 .014545 .064615 .080839

9/2 2 9/2 -.083333 .094545 .078788 .026667 .094545 .012121

9/2 2 7/2 .005952 .049524 .069660 .040816 .093333 .003810

9/2 2 5/2 . 130952 .017959 .044898 .057143 .062857 .057143

9/2 5/2 7 .078125 .212500 .034439 .003061 .204082

9/2 5/2 -.067708 . 1 5306

. 055272 .008333 9 \J \J yJ J J J • 0459 1. 099637

9f2 5/2 5 -.091146 .104167 .064167 .015000 .071111 .034222

9/2 5/2 4 -.039063 -065000 .062679 .022321 .078000 .003429

9/2 5/2 3 .049479 .034821 .052083 .029762 .068571 .004444

9/2 5/2 2 .143229 .013095 .032738 .037500 .043651 .039683

9/2 3 15/2 .083333 .200000 .026667 .001905 .194286

9/2 3 13/2 -.055556 .151111 .043761 .005128 .034286 .110769

9/2 3 11/2 -.091667 . 109890 . 052448 . 00909.054945 .052847

9/2 3 9/2 -.061111 .075758 .053872 .013228 .063636 .017316

9/2 3 7/2 . 005556 .048148 .049131 .017007 .061905 .001361

9/2 3 5/2 .083333 .026531 .039184 .020000 .051020 .003265

9/2 3 3/2 .152778 .010476 .024444 .022222 .031429 .025714

9/2 7/2 8 .087500 . 190000 .021250 .001250 . 185937

9/2 7/2 7 -.045833 . 148750 .035417 .003333 .026562 .117400

911 7/2 6 -.089583 .113333 .043333 .005833 .043537 .066879

9/2 7/2 5 -.072917 . 083333 . 045833 .008333 . 052083 . 032083

9/2 7/2 4 -.020833 .058333 .043750 .010417 .053333 .010804

9/2 7/2 3 .045833 .037917 .037917 .011667 .048363 .001042

9/2 7/2 2 .110417 .021667 .029167 .011667 .038095 .001488

9/2 7/2 L . 160417 .009167 .018333 .010000 .022917 .014583

9/2 4 17/2 .090909 . 181818 .017326 .000856 .178824

9/2 4 15/2 -.037879 . 146310 .029205 .002263 .021176 .121342

9/2 4 13/2 -.086580 .115394 .036246 .003916 .035259 .077219

9/2 4 11/2 -.079545 .088765 .039059 .005510 .043077 .044802

116
J + 1 J J *- J CASIMIR*S F •-F + 1

I J F FUNCTION F + F F F F - I*- F F + F F F

*t TIC . «U3»Of9 A 1 T Q "7 O 1 1 A . ly 3 o ^ o 1 n A R A c; . nVJ ^? ^S> 44HH 7f 9/2 A*» tic o *> rv c A o • U2U!>o 3 .047138 .034478 .007273 .043210 .008536

n y o 9/^ A D / 2 .031515 .028364 .006788 .037143 .001524

9fZ 4 3/2 .132576 n 9n Aft 7 nnA ft Aft • UUn OHO 9 n\J c.9 ouo n nnuu nn n 1 Aft • uu U 1 HO

9/2 4 1/2 .166667 • U U O OO 7 • U 1 ^ J ^ 3 n 1 A 9 Q A • nnU U

c;9 Q7 9 A c o 9/2 9/ ^ Q n 0*2 T Q n •

11 7*innn ff VJ n 1 it,TiQ£L • \J 1 "t O 7*T noo An

A

• U U U QUO 1 7 9 7 9 7 9/2 9/2 QO ~« r» '5 1 1 c U31 2D0 • i. *t J ^ J 7 n 9 A. A7n no 1 RQ

1

• Uu 1 9 7

1

1 9 A A m 1 C. DO DO

9/2 9/2 — .083333 • 1 1. O 37 7 1

fi "^n A ft 9 n n 9 7 9 7 n 9 on Q

1

• U C 7 U 7 1 n ft A ft A ft • U O H O H O 9/2 9/2 o — r\ o "a o 1

. 083333 • U 7^ f ^ r nn 7 ft ft n An A

1

• U 9 o u O i • U 9 9 L 9 ^ 9/2 9/2 cD — . 0494 f

9

• U r ^ 1 ^ 1 • U J D D D 0

(1 n A <\A (\ • U U *T 9H 9 n "^.ft 7 ft ft • U 3 o # o o • nU 9 9 9 ^9 ^9

ri / o

'i fZ 9/2 4

y\ o A ^ y • 002604 • nu ^"^nu Aft o o ^9 nn A 77 n 7 ft 7 Q • U 9 f O 17 • nU 1i

ftO 11fto ^9 9/2 9/2 3 n c o a n A

. 0D9896 .039773 .025985 .004242 .033939 .008485

9/2 9/2 ->2 • 1 1 1979 .027576 .019697 .002727 .027576 -003030

<)fZ 9/2 1 - 151042 • nU 1I IT?! 1 f ^ r n 1 9 9 7 • nVJ

11 Q7 9 Q7HA nnnA n

A

• u u uo u o 9/2 9/2 0 .171875 • nU 11 nnnn KJ\J\J\J n 1 nnnn

9/2 1 n y 1 19/2 . 096 154 • I O 7 t 5 1 n 1 9 1 A A n nn aa 9 •

1i A7AAA O 1 H O H 9/2 17/2 — o c A y 1 . 02D641 • 1 *T 1 f u u n 9 n7 ft A. • nU nU 1I

1

1. R9 ^9 • nU 1I A'^ *T 9 R9**A •

11 ^9AftQ7 H O 7 f 9/2 5 15/2 -.080128 1 1 7 P A A 9 A 9 A 1 nn 1 OR ft • U U 1 7 9 o • nU t9 A*t ^9 ftO R9 • nU Q7 nU R9 ^9 AH ^fZ 5 13/2 — . 085470 • U 7 U OO • nU ^9 ftO Q7 11 Q7 • nU nU t9 AQn O 7 u • nU "^n 9 U s9 AR*t9 n A AA 1 • U O 3 HH

1

9/2 5 11/2 - .057692 n7A ft 1

• n 9 Qn Q 7 7 U 7 # « n n 1 7 Q U U J) 1 f 7 • nU 9 ft 7 9 9^ O / • nU AH ^9 71 AHOA 9fZ 5 9/2 — . 010684 • UOU Oc. L n 9 7 1 9 A. nn 9 A n "^n Rft • U 9 9 U 9 O « n\J c.9 71 *i9HOAft 9/2 5 7/2 . 043803 .046620 .023310 .002797 .030303 .016970

9/2 5 5/2 . 096 154 .034965 .017902 .001678 .025455 -010182

9/2 5 3/2 .138889 • U ^ -> H U -J « U A U 7 U 7 • nU 11

ftO Q7 OQU 7 . nnA*i4*i u u o ;y ^ 9/2 5 1/2 .166667 n 1 ft 1 ft ? • nU 11 OQU 7 noU 7 nn7 ? 7 'I

9/2 11/2 10 .098214 «

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9/2 11/2 8 -. r\ "T "7 rv o 0 1 f 083 1 1 7 1 • ill 1 0 9 970'^ n 9n7 9n nQ47 ft

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1

n 9 ^ 1 A 7 . nnly vy X1 QA70 ?n 9 A 1 Sfl n7nn7

i

- VJ f VJ VJ r X 9/2 11/2 6 — . 063690 n ft n n 9 s s 1 n nn 7 ?ftQ • nU ^9 ftO 7 7 1

( f I - nsnAA7 VJ J VJ Vj V f 9/2 11/2 5 -. 020833 n A** "^ft s « nu t9 J Q7 7r At nn? "^nft • n9U ^ ftft O O QS7 33 - nVJ J SJ Q7 1X Q7 9/2 11/2 4 .031250 .052308 .020769 .001923 .026853 .025201

9/2 11/2 3 .083631 •041209 .016026 .001099 .022946 .017983

9/2 11/2 2 .129167 . vy v> ^ o X -* . nVJ 1X 74n*i 1 ^ VJ J .014035

9/2 11/2 1 . 162500 n 7 soon . nVJ 1X nVJ C? A.?7f . 014773

9/2 6 21/2 . 100000 • i O U UU U . U Vy O 7 O U nnn ?s

i

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. vy vy 1 vy o o . nVJ 1X 71 ROX"1 4 . Vy 7 O VJ A. J 9/2 6 15/2 — .08712 1 no Q R^. ft • U 7 7 Z?H O . r\j u ^ ^ U A^. O *T . nU nVJ 11 4*tOA RU . nVJ ^? ^?AO A?4H . VJ f J 3 7 O 9/2 6 13/2 — . 068182 n ft R 1 A . vj c A H o nn 1 AQ

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Hi 2 19 iHI 2 -.085970 A o a A ^ c\ . 00 JOoO rx A A A 9 A

. 0000a4 .003110 .096218

9/2 19 31/2 -.073116 .094458 .002957 .000021 .003235 .091095 . 9/2 19 35/2 -.041612 .089702 .002590 .000015 .003105 .086482

HI 2

1 O J J/

1

.005493 A O C 1 Q ^ A A 1 0 7 0 AAA AA 7 . UUUUU f .002721 .082380

HI 2

1 o ^ 1 / ^ .065315 AQ AQ'l 9 « AUUA 11117 1 1 O .002079 .078797

HI 2

1 Q C.H 1 C . 135135 « U 1 O 7C J .001175 .075748

Hie O C\ HH 1 e .116279 1 9 AO':* A A A 1 A 1 7 . UU 1 U 1

f

A A A AAA. . UUUUUH .120885

HI 2

O A £,V H 1 1 i .021318 1 1 Q O A 7 A A 1 Q A 1 . UU 1 oU

1

A A A A 1 A • UUUU 1

U

.001067 .114118

HI 2 20 H3/^ -.041741 \ rt o o o. iU9o^2 n o "3 c o. U02 3!>o • UUUU 1 !) .001889 . 107835

HI 2 H 51

2

-.076401 1 AA A 1 A A A A D Q . UU^ OO

7

A A A A 1 Q . UUUU I

7

.002472 . 102027

HI 2 A 1 / O -.086017 A OO A O O A A O 7 Q 7 . UU^ 1 7 f . AUUUU^ A A A 9 AU .002818 .096689

9/2 20 39/2 -.073792 .094858 .002685 .000017 .002932 .091815

9/2 20 37/2 -.042785 .090318 .002353 .000012 .002814 .087403

9/2 20 35/2 .004100 .086002 .001797 .000006 .002465 .083456

9/2 20 33/2 .064103 .081911 .001015 .001884 .079979

9/2 20 31/2 .134615 .078049

r

.001064 .076984

1211

Bibliography

The references are listed in numerical order. Numbers below

1725 are assigned according to year and then alphabetically

according to the first author. References added after the initial numbering are listed according to both numerical and yearauthor orders.
1933

0004 , Wick, G. C. , Z, Physik 8_5, 25 (1933); Magnetic moment

of a rotating hydrogen molecule.

H,

1937

0010 Schlapp, R. , Phys. Rev. 5]_, 342 ( 19 37) ; Fine structure

3 in the S ground state of and the rotational intensity

distribution in the atmospheric oxygen band.

rotation

1939

0015 Hamilton, D. R. , Phys. Rev. 5^, 30 ( 19 39); Hyperfine

2 115

metastable ^3/2 state of In I and electric quadrupole

115 moment of In .

Iln (AB)

0016 Kellogg, J. M. B. ; Rabi, I. I.; Ramsey, N. F. , Jr. Zacharias, J. R. , Phys. Rev, _55, 318 (1939); An

electrical quadrupole moment of the deuteron.

(MB)

0017 Kellogg, J. M. B. ; Rabi, I. I. ; Ramsey, N. F. , Jr. ; Zacharias, J. R. , Phys. Rev. 5_6, 728 (1939^ Magnetic

moments of proton and deuteron. Radiofrequency spectra

of in magnetic fields.

1940

0022 Kellogg, J. M. B. ; Rabi, I. I. ; Ramsey, N. F. , Jr. ; Zacharias, J. R. , Phys. Rev. 57, 677 ( 1940); Electrical

quadrupole moment of deuteron. Radiofrequency spectra

of HD and molecules in magnetic field.

0028 Ramsey, N. F. Phys. Rev

magnetic moments of H^,

58 , 226 (1940); Rotational

and HD molecules. Rotational radiofrequency spectra of H

magnetic fields.

2' and HD in

0030 Scheffers, H. , Phys. Zeits. 41., 89 ( 1940 ); Determination HCl(MB)

of dipole moments by molecular ray method.

1941

0031 Brooks, H. , Phys. Rev. 60^, 1 68 ( 1 94 1 ); Interaction

between nuclear spin and molecular rotation.

H^ hyperfine

1945

1744 Van Vleck, J. H. , Report 664 from Radiation Laboratory

MIT (March 1, 1945); Further theoretical investigations on

the atmospheric absorption of microwaves.

1946

0036 Beringer, R. , Phys. Rev. 70.' 53 ( 1946) ; Absorption of 0. 5 cm. waves in O^.

124
0049 Hershberger, W. D. , J. Appl. Phys. ]J_, 495(1946)

The absorption of microwaves by gases.

(plus several

others)

0051 Kellogg, J. B. M. ; Millman, S., Revs, Mod. Phys. 18_, 323 (1946); Molecular beam magnetic resonance method.

Radiofrequency spectra of atoms and molecules.

0053 Purcell, E. M. ; Pound, R. V. ; Bloembergen, N. , Phys.

Rev, 7£, 986 (1946); Nuclear magnetic resonance absorption.

1947

0080 Hughes, H. K. , Phys. Rev. 72, 6 14 ( 1947) ; The electric resonance method of radiofrequency spectroscopy. The

moment of inertia and electric dipole moment of CsF.

CsF (MB)

0105 Van Vleck, J. H. , Phys. Rev. TJ_, 41 3 ( 1947); The

absorption of microwaves by oxygen.

0109 Weidner, R. T. , Phys. Rev. 72, 1268(1947); Microwave

spectra of ICl at 4. 5 cm. wavelength.

ICl

1948

0112 Bardeen, J. ;Townes, C. H. , Phys. Rev. 73_. 627 (1948)

ICN, quadrupole splitting.

ICl, ICN,

BrCN hyperfine

01Z7 Gordy, W. , Revs. Mod. Phys. 2£, 668 ( 1948); Microwave

spe ctros copy.

review of several

molecules

0138 Lament, H. R. L. , Phys. Rev. 74, 353 ( 1948); Atmospheric absorption of microwaves.

0139 Lamont, H. R. L. , Proc. Phys. Soc. 6l_, 562(1948)

Atmospheric absorption of millimetre waves.

0158 Strandberg, M. W. P. ; et al, MIT Research Lab. Electronics (Oct. 1948)

0162 Townes, C. H. ; Merritt, F. R. ; Wright, B. D., Phys.

Rev. 73, 1249 (1948)

OCS, H^CO,

OCSe, Cs

ICl, rotation

0163 Townes, C. H. ; Merritt, F. R. ; Wright, B. D. , Phys.

Rev. 73, 1334 (1948)

ICl, rotation

0165 Weidner, R. T. , Phys. Rev. Ti, 254 ( 1948) ; ICl, pure

rotational transition.

ICl

1949

0172 Beringer, R. ; Castle, J. G. , Jr. , Phys. Rev. 75, 1963 O^

(1949); Microwave magnetic resonance absorption in oxygen.

0173 Beringer, R, ; Castle, J. G. , Jr., Phys. Rev. 76., 868 NO

(1949); Zeeman effect in NO.

125
0190 Gilbert, D. A. ; Roberts, A. ; Griswold, P. A., Phys. FCl

Rev. 76, 17Z3 (1949); Nuclear and moleciilar information

from the microwave spectrum of FCl.

0195 Gordy; Gilliam; Livingston, Phys. Rev. 76.' 443(1949) I, CH I

r t127 129 Microwave spectrum 01 1 ,1

0200 Hicks, B. L. ; Ossofsky, E. ; Jones, R. N. , Ballistics OH

Res. Lab., Tech. Note 130, Nov. (1949); Free radicals

and microwave spectroscopic techniques.

0202 Hughes, V. ; Grabner, L. ; Rabi, I. I. , Phys. Rev. 76., RbF (MB)

85 87

471 (1949); Radio frequency spectrum of Rb F, Rb F.

0207 Kusch, P., Phys. Rev. 75, 887 ( 1949 ); Mole cular LiBr, LiCl, LiF,

6 • Lil (MB)

hyperfine structure Li .

0208 Kusch, P., Phys. Rev. _76, 1 38 (1949); Sign of quadrupole Li^, LiBr, Na^,

moment in Li. ^ n..-n\ Nal, KCl (MB)

0209 Kusch, P., Mann, A. K. , Phys. Rev. 76^, 707 (1949) LiBr, Lil, (MB)

Precision measurement of the ratio of the nuclear g

7 6 values of Li and Li

i 0217 Loubser; Townes, Phys. Rev. 76, 178 (1949); Spectroscopy HI, H^N

between 1. 5 and 2 mm. wave-length using magnetron harmonics.

0246 Strandberg, M. W. P; Meng, C. Y. ; Ingersoll, J. G.

Phys. Rev. 75, 1524 (1949); Microwave absorption spectrum of O^.

0252 Trischka, J. W. , Phys. Rev. 76^, 1 365 ( 1949 ); The moment CsF (MB)

of inertia and electric dipole moment of CsF from radiofrequency spectra.

1950

0263 Beringer, R. ; Castle, J. G. , Jr. , Phys. Rev. T^. 340 NO

(1950); Microwave magnetic resonance spectra of NO.

0264 Beringer, R. ; Castle, J. G. , Jr., Phys. Rev. 78, 581 NO

(1950); Magnetic resonance absorption in NO..

0268 Bleaney, B. , Research 3, 490 ( 1950); Spectroscopy at Review

centimeter wave lengths.

0271 Burkhalter, J. H. ; Anderson, R. S. ; Smith, W. V. ; O^

Gordy, W. , Phys. Rev. 77, 152 (1950); Fine structure

of microwave spectrum of O^.

0272 Burkhalter, J. H. ; Anderson, R. S. ; Smith, W. V. ; Gordy, W. ; Phys. Rev. 79, 224 (1950); Fine structure of O^

126
0273 Burkhalter, J. H. ; Anderson, R. S. ; Smith, W. V.; O

Gordy, W. ; Phys, Rev. 79_, 651 (1950); The fine structure

^

of the microwave absorption spectrum of oxygen.

0284 Gilbert, D. A.; Roberts, A., Phys. Rev. 742 (1950) FCl

Nuclear and molecular information from the microwave

spectrum of FCl.

0285 Gilliam, O. R. ; Johnson, C. M. ; Gordy, W. , Phys. Rev. CO, CH^F, ICN

78 , 140 (1950); Microwave spectrum in the region from

2- 3 mm.

0291 Grabner, L. ; Hughes, V., Phys. Rev. 79_. 819 (1950) KF (MB)

39 The radio frequency spectrum of K F by the electric resonance method.

0292 Henry, A. F. , Phys. Rev. 79, 213 (1950)

0293 Henry, A. F. , Phys. Rev. 80, 396 (1950); The Zeeman O

effect in oxygen.

2

0294 Henry, A. F. , Phys. Rev. 80, 549 (1950); Hyperfine NO

structure of Zeeman levels in nitric oxide.

0296 Hughes, V. ; Grabner, L. , Phys. Rev. 29, 314 (1950) RbF(MB)

85 87 The radio frequency spectrum of Rb F and Rb F by

electric resonance method.

0305 Klages, G. , Experientia 6^, 321 (1950); Absorption of Review

microwaves in gases and liquids (a general review).

0306 Kolsky, H. G. ;Phipps, T. E. , Jr. ; Ramsey, N. F. , Jr. ; H (MB)

Silsbee, H. B. ; Phys. Rev. 79, 883 (1950).

0307 Kolsky, H. G. ; Phipps, T. E. , Jr. ; Ramsey, N. F. , Jr. ; H (MB)

Silsbee, H. B. ; Phys. Rev. 80, 483(1950)

0323 Maier, W. , Z. Elektrochem. 54, 521 (1950); Microwave Review

spectra and molecular structure.

0332 Mizushima, M. , Bus se iron kenkyu 29, 25 (1950); The width Review

of microwave absorption bands of gases.

0333 Mizushima, M. , Phys. Rev. TT^. 150 (1950) (IR)

0362 Smith, D. F. ; Tidwell, M. ; Williams, D. V. P. BrF

Phys. Rev. 77, 420 (1950); Microwave spectrum of

BrF.

0363 Smith, D. F. ; Tidwell, M. ; Williams, D. V. P. Br CI

Phys. Rev. 1007 (1950); Microwave spectrum of BrCl.

0374 Wilson, E. B. , Jr. , Faraday Soc. Discussion 9, 108 Review

(19 50); Determination of molecular structure with microwave

spectroscopy.

127
0375 Woodward, Nature 165 , 198 ( 1950) ; Induced molecular

vibrational and rotational absorption.

0376 Zeiger, H. ; Bolef, D. ; Rabi, I. 1. , Phys. Rev. 78, 340

35 37

(1950); Molecular beam spectrum of TlCl and TlCl

at zero fields.

1951

0379 Anderson, R. S. , Thesis, Duke U, (1951)

0380 Anderson, R. S. ; Johnson, C. M. ; Gordy, W., Phys.

0381 Anderson, R. S. ; Smith, W. V. ; Gordy, W. , Phys. Rev.

8Z , 264 (1951); Line breadths of the fine structure of the

microwave spectrum of oxygen.

0386 Brown, S. C. , Phys. Rev. 82, 568 (1951); Breakdown in

hydrogen at 100-Mc. frequency.

0397 Ewen, H. I. ; Purcell, E. M. , Phys. Rev. 83, 881 (1951)

Radiation from hyperfine levels of interstellar hydrogen.

0402 Frosh, R. A.; Foley, H. M. , Phys. Rev. 8Z, 337 (1951)

The hyperfine spectra of diatomic molecules.

0408 Gokhale, B. V. ; Strandberg, M. W. P. , Phys. Rev. 82 , 327 (1951); Microwave absorption spectrum of oxygen.

0409 Gokhale, B. V. ; Strandberg, M. W. P. , Phys. Rev. 84,

844 (1951); Linebreadths in the 5 mm. microwave absorption

0411 Grabner, L. ; Hughes, J. V., Phys. Rev. 82, 561 (1951)

1738 Greenhow, C. ; Smith, W. V., J. Chem. Phys. 19_, 1298

(1951); Molecular quadrupole moments of and O^.

0413 Hill, R. M. ; Smith, W. V., Phys, Rev. 82, 451 (1951)

HCl

TlCl (MB)

°2

°2

^2

^2

NO, O^, hyperfine

°2

Further evidence for a two quantum transition in molecular

spectros copy.

Microwave collision diameters and associated quadrupole

moments

0422 Johnson, C. M. ; Trambarulo, R. ; Gordy, W. , Phys. Rev.

84, 1178 (1951); Microwave spectroscopy in the region from

two to three millimeters. II

128
0425 Karnaugh, M. ; Margenau, H. , Phys. Rev, 82, 342 (1951)

Theory of magnetic resonance in N^^O^^ .

NO

0427 Kolsky, H. G. ; Phipps, T. E. , Jr. ; Ramsey, N. F. , Jr. ; Silsbee, H. B. ; Phys. Rev. 8J^, 106l ( 1951); Deuteron

quadrupole moment and the radiofre quency spectra of

and in low magnetic fields.

0437 Luce, R. G. ; Trischka, J. W. , Phys, Rev. 82, 323 (1951)

Radiofre quency spectra of CsCl,

(MB)

CsCl (MB)

0445 Miller, S. L. ; Javan, A. ; Townes, C. H. , Phys. Rev. 82 ,

1

8

454 (1951); O spin.

O,

0446 Miller, S. L, ; Javan, A,; Townes, C. H, , Phys, Rev. 83 , 1

8

209 (1951); O spin.

0462 Ramsey, N. F. , Jr., Physica 1T_, 388 (1951); Radiofre quency

spectra of and by a new molecular beam resonance

method.

(MB)

0487 Trischka, J. W. ; Swartz, J, C, ; Luce, R. G. , Phys. Rev,

83, 881 (1951); A new electric-field design for the molecular beam electri-resonance method.

CsF (MB) Stark

effect

0489 Weber, J,; Phys. Rev. 8_3, 881 (1951); Microwave collision

diameters.

0497 Wilson, E. B. , Jr., Ann, Rev, Phys. Chem, _2, 151 (1951)

Microwave spectroscopy of gases.

Review

1952

0500 Anderson, R. S, ; Smith, W, V. ; Gordy, W, , Phys, Rev,

87, 561 (1952)

O.

0502 Artman, J. O, ; Gordon, J. P., Phys. Rev. 87, 227 (1952)

16

Pressure broadening of lines in the millimeter wavelength region.

0507 Beringer, R. ; Ann. N. Y, Acad. Sci. 55_, 814 (1952)

Microwave resonance absorption in paramagnetic gases.

O^, NO

0508 Beringer, R, ; Rawson, E. B. , Phys. Rev. 86, 607

(1952); Lambda- doubling in a microwave spectrum.

NO

0514 Boyd, D. R. J. ; Thompson, H. W. , Spectrochim. Acta

5, 308 (1952); The fundamental vibration band of hydrogen

iodide

.

HI (IR)

0516 Bray, P. J. ; Barnes, R. G. ; Harrick, N. J,, Phys, Rev,

87, 229 (1952); Magnetic moment ratios in hydrogen- like

molecules

.

(MB)

129
130
06Z2 Swartz, J, C. ; Trischka, J. W. , Phys. Rev. 88, 1085 LiF (MB)

6 19 (1952); Radiofrequency spectra of Li F by the molecularbeam electric-resonance method.

0628 Trischka, J. W. ; J. Chem. Phys. 20, 1811 (1952); On the LiF

internuclear distance and dipole moment of the LiF molecule.

0637 Wieland, K. ; Waser, J., Phys. Rev. 85^, 385 (1952); The

molecular spectrum of iodine excited in the presence of an

inert gas.

1953

0649 Arnowitt, R. ; Phys. Rev. 92, 1002 (1953); The hyperfine H, H

structure of hydrogen. 2

1732 Altshuller, A. P. ; J. Chem. Phys. 2j_, 2074 (1953) TlBr, Tll

Dipole moments of gaseous thallous halides.

0650 Artman, J. O. ; Gordon, J. P. , Phys. Rev. 20, 338

(1953); Pressure broadening of oxygen lines in the millimeter wave-length region.

0654 Bates, D. R. ; Foots, F. , Proc. Phys. Soc. 66A, 784

(19 53); Properties of the hydrogen molecular ion. 1. Quadrupole transitions in the ground electronic state and

dipole transitions of the isotopic ions.

0671 Burrus, C. A. ; Gordy, W. , Phys. Rev. 92, 1437 (1953) NO, HI

One-to-two millimeter wave spectroscopy III, NO and DI.

0679 Dieke, G. H. ; Cunningham, S. P. ; Byrne, F. T. , Phys. H^, Zeeman

Rev. 92, 81 (1953); The Zeeman effect in the molecular

spectra of hydrogen.

0684 Fabricand, B. P. ; Carlson, R. O. ; Lee, C. A. ; Rabi, I. I. KBr (MB)

Phys. Rev. 9_1, 1403 (1953); The rotational levels of KBr

and their hyperfine structure.

0693 Harrick, N. J. ; Barnes, R. B. ; Bray, P. J. ; (MB)

Ramsey, N. F. , Jr. ; Phys. Rev. 9£, 260 (1953); Nuclear

radiofrequency spectra of and in intermediate and

strong magnetic fields.

0699 Honig, A. ; Stitch, M. L. ; Mandel, M, , Phys. Rev. 92.. CsF, CsCl, CsBr

901, (1953); Microwave spectra of CsF, CsCl, CsBr.

0716 Klein, J. A. ; Nethercot, A. H. , Jr., Phys. Rev. 91., HI

1018 (1953); Microwave spectrum of DI and 1. 5 mm.

wavelength.

0721 Kusch, P. ; Phys. Rev. 92, 268 (1953); Sign of quadrupole Li CI (MB)

interaction.

131
0722 Lee, C. A. ; Fabricand, B. P.; Carlson, R. O. ; Rabi, I. I., KCl(MB)

Phys. Rev. 9

, 1395 (1953); Molecular-beam investigation

of rotational transitions. L The rotational levels of KCl

and their hyperfine structures.

07 36 Miller, S. L. ; Univ. Microfilms, Pub. No. 4585 , Dissertation Abstracts 13, 110 (1953); The microwave absorption

spectrum of oxygen.

0737 Ivliller, S. L. ;Townes, C. H. , Phys. Rev. 90, 537 (19 53)

The microwave absorption spectrum of and O^^ O^"^

„

0738 Miller, S. ; Townes, C. H. ; Kotani, M. , Phys. Rev. 9£.

542 (1953)

0741 A4izushima, M. ; Phys. Rev. 9_1. 222 ( 19 5 3) ; On the frequencies of the microwave absorption lines of oxygen.

0752 Poots, G. ; Proc. Phys. Soc. 66A, 1181 (1953); The effect

of variation of the dipole moment with internuclear separation on the relative intensities of the second negative band system

of oxygen.

0757 Ramsey, N. F. , Jr., Phys. Rev. 89_, 527 ( 1 953) ; Psuedoquadrupole effect for nuclei in molecules.

0758 Ramsey, N. F. , Jr. ; Science 117 , 470 (1953); Electron (MB)

distribution in molecular hydrogen.

0764 Sanders, T. M. ; Schawlow, A. L. ; Dousmanis, G. C. ; OH

Townes, C. H. ; Phys. Rev. 89, 1 1 58 ( 1953) ; A micro- wave spectrum of the free OH radical.

0775 Tate, P. ; Strandberg, M. W. P. , Phys. Rev. 9j_, 464 KCl, NaCl

(1953); Stark effect in high temperature microwave spectroscopy.

0792 Wimett, T. F. ; Phys. Rev. 9j^, 476 ( 19 53) ; Nuclear H^

resonance line structure in HD and molecular shielding

in HD, H^, and .

0793 Wolfsberg, M. ; J. Chem. Phys. 2J., 2166 ( 1953); Note on N^

a nitrogen molecule calculation.

1954

0797 Artman, J. O. ; Gordon, J. P. , Phys. Rev. 96, 1237 O

(19 54); Absorption of microwaves by oxygen in the millimeter wave-length.

2

0803 Barnes, R. G. ; Bray, P. J. ; Ramsey, N. F. , Jr., Phys. H^

Rev. 94, 893 (1954); Variations of hydrogen rotational

magnetic moments with rotational quantum nirmber and

with isotopic mass.

132
0804 Basov, N. G. ; Prokhorov, A. M. , Zhur. Eksptl. Teoret. CsF (MB)

Fiz. 27 , 431 (1954); Application of molecular clusters to radiospectroscopic study of rotational spectra of molecules.

0807 Bemski, G. ; Nierenberg, W. A. ; Silsbee, H. B. , Phys. CsF, RbF

Rev. 94' "767 (1954); Spin-orbit interaction in RbF and CsF.

0812 Birnbaum, G. ; Maryott, A. A., Phys. Rev. 95^, 622 (1954) HBr, HCl

Ivlicrowave absorption in compressed gases.

0832 Dousmanis, G. C. ; Phys. Rev. 94, 789 (1954); Microwave OH

spectrum of the free CD radical,

0839 Gallagher, J. J. ; Bedard, F. D. ; Johnson, C. M. , Phys. NO

Rev. 9_35 729 ( 19 54) ; Microwave spectrum of N'^^O^^.

0843 Gordy, W. ; J. Chem. Phys. 22, 1470 (1954); Relation of Review

nuclear quadrupole couplings to the chemical bond.

0844 Gordy, W, ; J. Phys. Radium J_5, 521 (1954); Spectroscopy Review

from 1 to 5 mm. wavelength.

0845 Gordy, W. ; Burrus, C. A., Phys. Rev. 23_, 419 (1954) HBr

Spectrum of DBr in the one-millimeter wave region.

1741 Henry, A. F. ; Beringer, R. ; Rawson, E, B. , Phys. Rev. NO

94, 343 (1954); Microwave resonance in nitric oxide: A

doubling and hyperfine structure.

0855 Hill, R. M. ; Gordy, W. . Phys. Rev. 93, 1019 (1954) O^

Zeeman effect and line breadth studies of the microwave

lines of oxygen.

0857 Honig, A. ; Mandel, M. ; Stitch, M. L. ; Townes, C. H. Lil, LiBr

Phys. Rev. 92' 953 (1954); Alkali halides.

0858 Honig, A. ; Mandel, M. ; Stitch, M. L. ; Townes, C, H. alkali halides

Phys. Rev. 96, 629 (1954); Microwave spectra of the

alkali halides.

0860 Ishiguro, E, ; Koide, S. , Phys. Rev. 94, 350 (1954);

Magnetic properties of the hydrogen molecules.

0885 Liuima, F. A. ; Bushkovitch, A. V. ; Rouse, A. G. He, O^

Phys. Rev. 96, 434 (1954); Pressure broadening of

OCS in foreign gas mixtures.

0890 Marple, D. T. F. ; Thesis, Syracuse U. (1954); Radio- LiCl (MB)

6 frequency spectra of Li CI by the molecular-beam

ele ctric- re s onance method.

0895 Meyers, R. J. ; Gwinn, W. D. , Ann. Rev. Phys. Chem. Review

385 (1954); The microwave spectra of gases.

133
0898 Mizushima, M, ; Phys. Rev. 9±, 569 (1954); Theory of NO

the hyperfine structure of NO molecules.

0899 Mizushima, M. ; Phys. Rev. 94, 789 (1954); Theory of NO

the hyperfine structure of NO molecules.

0900 Mizushima, M. ; Hill, R. M. , Phys. Rev. 21' 745 (1954) O^

Microwave spectrum of O^.

0917 Sanders, T. M. , Jr. ; Schawlow, A. L. ; Dousmanis, G. C. ; HO

Townes, C. H. ; J. Chem. Phys. 22, 245 (1954); Examinations

of methods for detecting OH.

0920 Schneider, E, E. ; Phys. Rev. 93. 9 19 ( 19 54); Hyperfine LiF

structure in the paramagnetic resonance of X-rayed LiF.

0933 Stoicheff, B. P. ; Can. J. Phys. 32, 630 (1954); High- - N^

resolution Raman spectroscopy of gases. III. Raman

spectrum of nitrogen.

0938 Tate, P. A. ; Strandberg, M. W. P., J. Chem, Phys. 22, NaCl, KCl

1380 (1954); Stark effect in the microwave spectra of potassium

chloride and sodium chloride.

0941 Tinkham, M. ; Strandberg, M. W. P. , Phys. Rev. 95.. 622 (1954); Selection rules in the microwave magnetic

resonance spectrum of O^-

0944 Trischka, J. W. ; Braunstein, R. , Phys. Rev. 96^, 968 RbCl (MB)

(1954) ; Rotational spectra of RbCl by the moleciilar beam

electric resonance method.

1955

0955 Aamodt, L. C. ; Fletcher, P. C. , Phys. Rev. 98, 1224 COSe, Se

(1955) ; Spin, quadrupole moment, and mass of SE75

0965 Barrett, A. H. ; Mandel, M. , Phys. Rev. 99. 666 (1955) InCl, InBr

Microwave spectra of indium chloride and bromide.

0968 Braunstein, R, ; Univ. Microfilms, Pub. No. 8172 LiF (MB)

Dissertation Abstracts _1_4, 1437 (1955); Radiofrequency

7 19 spectra of Li F by the molecular-beam electric-resonance

method.

0968 Braunstein, R. ; Trischka, J. W. , Phys. Rev. 98^, 1092 LiF (MB)

(1955); Molecular constants and nuclear-molecular interactions

7 19

of Li F by the moleciilar beam electric resonance method.

0971 Burrus, C. A. ; Gordy, W. ; Benjamin, B. ; Livingston, R. HCl, HBr

Phys. Rev. 97, l66l (1955); One-to-two millimeter wave

spectra of TCI and TBr.

134
2

0972 Carrara, N. ; Universita di Firenze (Italy). Tech. Rept.

No. 2_ " Fundamental research on electromagnetic theory

and microwave spectroscopy. May 14, 1955; Study on dependence from pressure of the absorption lines of O

-1 ^ in the 2 cm region - absorption spectrum of the molecule

of. oxygen in the microwave region - Part I.

0973 Carrara, N. ; Universita di Firenze (Italy). Tech. Rept. O

No. l]_ - July 6, 1955; Study on dependence from pressure

of the absorption lines of in the 2 cm" region - absorption spectrum of the molecule of oxygen microwave

region - Part II.

0980 Dousmanis, G. C. ; Phys. Rev. 9J_, 967 (1955); Magnetic NO

hyperfine effects and electronic structure of NO.

0981 Dousmanis, G. C. ; Phys. Rev. 98.. 1 1 60 ( 1 9 55 ); Magnetic NO

hyperfine effects and electronic structure of NO.

0982 Dousmanis, G. C. ; Sanders, T. M. , Jr. ; Townes, C. H. HO

Phys. Rev. 100 , 1735 (1955); Microwave spectra of free

radicals OH and OD.

0992 Gallagher, J. J. ; King, W. C. ; Johnson, C. M. , Phys. NO

Rev. 98, 1551 (1 955); The microwave spectrum of N^^O^ .

1017 Ketelaar, J. A. A. ; Colpa, J. P. ; Hooge, F. N., J. Chem. H^

Phys. 23, 413 (1955); Pure rotational absorption spectrum

of hydrogen.

1029 Lin, C. C. ; Mizushima, M. , Phys. Rev. 100 , 1726 (1955) NO

Theory of hyperfine structure of NO molecule. II. Errata

and some additional discussion.

1035 Mandel, M. ; Barrett, A. H. , Phy. Rev. _98' 1 159 (1955) TlBr, TlCl, TIF,

Pure rotational spectra of the thallium halides. Til

1036 Maryott, A. A. ; Birnbaum, G. , Phys. Rev, 99_, 1886 O^

(1955); Microwave absorption in compressed oxygen.

1041 Mizushima, M. ; Cox, J. T. ; Gordy, W. , Phy. Rev. NO

98 , 1034 (1955); Zeeman effect in the rotational spectrum

oTno.

1042 Mockler, R. C. ; Bird, G. R. , Phys. Rev. 98.. 1837 CS

(1955); Microwave spectrum of carbon monosulfide.

1045 Nethercot, A. H. , Jr. ; Rosenblum, B. , Columbia CO

Radiation Lab. Rept., May 31, 1955, Millimeter wave

spectroscopy of CO.

1046 Ninomiya, M. ; J. Phys. Soc. Japan J_0, 829 ( 1955);^ Ro- CrO

tational analysis of CrO bands.

135
1061 Rosenblum, B. ; Nethercot, A. H. , Jr. ; Phys. Rev. 97_. HBr, HI

84 (1955); Microwave spectra of tritium iodide and tritium

bromide

1062 Schwartz, C. ; Phys, Rev. 21' 380 ( 1955); Theory of hyper- Ga, In

fine structure.

1064 Sheridan, J. ; Research 8^, 88 (1955), Microwave spectros- Review

copy of gases.

1077 Tinkham, M. ; Strandberg, M. W. P. ; Phys. Rev. O

937 (1955)

1078 Tinkham, M. ; Strandberg, M, W. P. ; Phys. Rev. 97, O

951 (1955)

1079 Tinkham, M. ; Strandberg, M. W. P. ; Phys. Rev. 22.' ^2

537 (1955); Line breadths in the microwave magnetic resonance spectrum of O^.

1080 Tomita, K. ; Phys. Rev. 98, 1 197 ( 1955); On the rotational H

transition in solid H,

2

1731 White, R. L. ; Revs. Mod. Phys. 27, 276 ( 19 55); Magnetic FCl

hyperfine structure due to rotation in molecules.

1094 Willshaw, W. E, ; Lamont, H. R. L. ; Hickin, E. M. ; Proc.

Inst. Elec. Engrs. , London, 102 , Part B No. 1 (1955)

Experimental equipment and techniques for a study of

millimetre-wave propagation.

1098 Zhabotinskii, M. E. ; Uspekhi Khim. 24, 730(1955) Review

Radiospectroscopy and structure of molecules.

1956

1106 Barrett, A. H. ; Univ. Microfilms, Pub. No. 16270 , InCl, InBr, Inl,

Dissertation Abstracts 16, 1153 (1956); Ivlicrowave spectra GaCl

of InCl, InBr, Ini, GaCl.

1107 Battaglia, A. ; Gozzini, A. ; Bruin, F. ; Arch. sci. 9, 68 Review

(1956); Measurements on some absorbing gases as a function

of pressure at a wave length of 32 mm.

1120 Carrara, N. ; Nuovo Cimento Suppl. 4^, Series 10, 159 3 (1956); Molecular spectroscopy of oxygen by means of

microwaves. The shape of the absorption lines,

1124 Cowan, M. ; Gordy, W. ; Duke U. Microwave Lab. (1956) HI, CO

Further extension of microwave spectroscopy in the submillimeter wave region.

1125 Cowan, M. ; Gordy, W. ; Phys. Rev. 104 . 551 (1956) COS, HI, CO

Further extension of microwave spectroscopy in the submillimeter wave region.

136
1127 Cox, J. T, ; Gordy, W. ; Phys. Rev. 101 , 1298 (1956) CO

Zeeman effect of some linear and symmetric-top molecule.

1132 Dousmanis, G. C. ; Univ. Microfilms, Pub, No. 16804 , HO

(1956); Microwave spectra of OD, and of OH in 11 , state.

i / ^ 1141 Gallagher, J. J. ; Johnson, C. M. ;Phys. Rev. 103 , 1727 NO

(1956); Uncoupling effects in the microwave spectrum of

nitric oxide.

1143 Genzel, L. ; Klier, M. ; Physik 144, 25 (1956); LiF

Spektralunter suchungen im gebiet um 1 mm wellenlange.

III. Dispersionsmessungen am LiF.

1144 Ghosh, S. N. ; Edwards, H. D. ; AF Surveys in Geophysics O^, CO

82 (1956); Rotational fi*equencies and absorption coefficients

of atmospheric gases.

1162 H;ilthen, E. ;Neuhaus, H. ; Phys. Rev. 102 , 1415(1956) BiH

Magnetic hyperfine structure in bismuth hydride and deuteride.

1192 Mandel, M. ; Barrett, A. H. ; Bull. Am. Phys. Soc. U GaBr, GaCl, Gal

284 (1956); Microwave spectra of GaCl, GaBr, Gal.

1193 Marple, D. T. F. ; Trischka, J. W. ; Phys. Rev. 103 , LiCl(IvIB)

597 (1956); Radio-frequency spectra of Li^Cl by the

molecular beam electric resonance method.

1198 Ivliescher, E. ; Helv. Phys. Acta 29, 1 35 ( 1956); Rota- NO (UV)

tional analysis of NO+ bands.

1199 Miescher, E. ; Helv. Phys. Acta 29, 401 (1956); Rota- NO (UV)

tional analysis of the B' band (B'^A - X^II) of the NO

molecule.

1203 Mizushima, M. ; NBS Report 5016 (1956); Theory of the NO

Stark effect of NO molecule.

1205 Nethercot, A. H. , Jr. ; Rosenblum, B. ; Columbia ' HI

Radiation Lab. Rept. , June 15, 1956; Millimeter wave

spe ctroscopy.

1210 Ninomiya, .M. ; J. Phys. Soc. Japan JJ_, 970 (1956); Rota- HO

tional intensity distribution of the OH band.

1217 Perkins, K. L. ; Bushkovitch, A, V. ; Kieffer, L. J. He, O^

Bull. Am. Phys. Soc. 1, 13 (1956); Foreign gas pressure

broadening of OCS.

1227 Rosenblum, B. ; Nethercot, A. H. , Jr. ; Bull. Am. Phys. CO

Soc. 1, 13 (1956); Microwave determination of carbon and

oxygen mass ratios.

137
Solomon, I, ; Bloembe r gen, N. ; J. Chem. Phys. 25,

261 (1956); Nuclear magnetic interactions in the HF molecule.

HF

Stevenson, M, J. ; Columbia Radiation Lab. Rept. , June 15,

1956; Microwave spectroscopy of free radicals.

HN, HS

Trischka, J. ; J. Chem. Phys. _25, 784 ( 19 56) ; Electric

dipole moments of the lower vibrational states of molecular

CsF and Cs CI.

CsF, CsCl (MB)

1957

Barrow, R. F. ; Proc. Phys. Soc. 70, 632 (1957); The

3 rotational analysis of the bands of the A II + -X'S+ system

of TlCl.

°

TlCl

Cowan, M. J. ; Gordy, W. ; Bull. Am. Phys. Soc. 2, 212

(1957); Submillimeter wave spectroscopy: DCl.

HCl

Ehrenstein, G. ; Stevenson, M. J. ; Columbia Radiation Lab.

5th Quarterly Prog. Report ( 1957); Microwave spectroscopy

of free radicals.

HO

Gordy, W. ; Cowan, M. J. ; Bull. Am. Phys. Soc. 2, 212

(1957); Precision measurement of millimeter and sub-millimeter wave lines of CO.

CO

Happ, H. ; Z. Physik 147 , 567 (1957); Microwave spectrum

of thallium (I) iodide and bismuth chloride in the 3- cm. - and

1. 5- cm. -band.

Til, BiCl,

Jones, L. H. ; Goldblatt, M. ; J. Mol. Spectroscopy 1, 43

(1957); Infrared spectrum and molecular constants of gaseous

tritium fluoride.

HF (IR)

Mandel, M. ; Univ. Microfilms, Pub. No. 21639 , Disser^

tation Abstracts 17, 1676 (1957) Microwave spectra of

the thallium halides, GaBr, and Gal.

GaBr, Gal, TlCl,

TlBr

Mizushima, M. ; Phys. Rev. 105 , 1 262 ( 1957); Theory of

the hyperfine structure of NO (nitric oxide) molecular

electronic structure.

NO

Peter, M. ; Strandberg, M. W. P. ; Research Lab. Electronics, MIT, Tech. Rept. 336 (1957); Theoretical and

experimental study of molecular-beam microwave spectroscopy.

NaCl

Quinn, W. E. ; Baker, J. M. ; L Tourrette, J. T, ; Ramsey, N. F. , Jr. ; Bull. Am. Phys. "Soc. 2, 200

(1957); Radio-frequency spectrum of hydrogen deuteride.

Ramsey, N. F. , Jr. ; Lewis, H. R. , Phys. Rev. 108 , 1246 (1957); Theory of hydrogen deuteride in magnetic fields.

H,

H^ (MB)

138
1363 Richardson, J, M. ; Bull. Am. Phys. Soc. 2, 318 (1957)

Experimental evaluation of the oxygen microwave absorption

as a possible atomic frequency standard, .

1365 Rosenblum, B. ; Nethercot, A. H. , Jr. ; Bull. Am. Phys. CO

Soc.' 2, 44 (1957); Nuclear mass ratios and magnetic effects

in C07

1367 Rosenblum, B. ; Nethercot, A. H. , Jr. ; J. Chem. Phys. CO

27 , 828 (1957); Quadrupole coupling constant and molecular

17 structure of CO

1368 Russell, A. M. ; Univ. Microfilms, Pub. No. 21928 , LiF (MB)

Dissertation Abstracts 17, 1790 (1957); Rotational magnetic

6 ~

moments of Li F and Li F.

1368 Russell, A. M. ; Phys. Rev. 106 , 1 100 ( 1957); Rotational LiF

6 7 magnetic moments of Li F and Li F.

1370 Schlier, C. ; Z. Physik 147 , 600 (1957); Measurement of KF (AB)

the hyperfine structure of potassium fluoride with the molecular beam resonance method.

1383 Stevenson, M. J. ; Bull. Am. Phys. Soc. Z, 31 (1957) CO, H^O

The quadrupole moment of O'^'^.

1386 Stoicheff, B. P. ; Can. J. Phys. 35.. 730 (1957); High (R)

resolution Raman spectroscopy of gases. IX. Spectra

of H^, HD, and D^.

1392 Thomas, L. F. ; Heeks, J. S. ; Sheridan, J. ; Arch. Sci. Review

10, 180 (1957); Studies of conjugation and hyper-conjugation

in several molecules by microwave spectroscopy.

1411 Wilcox, W. S. ; Southern Research Inst. , Birmingham, O^

Alabama. Final tech. rept. Feb. 27, 19 57. Oxygen

analysis by microwave absorption measurements.

1414 Zahn, C. T. ; NBS Tech. Rept. - Final Rept., Dec. 31, Review

1957. Microwave absorption of gases. •

1958

1425 Barrett, A. H. ; Mandel, M. ; Phys. Rev. 109 . 1572 TIF, TlCl, TlBr,

(1958); Microwave spectra of the Tl, In, and Ga mono- Til, InCl, InBr,

halides. Inl, GaCl, GaBr,

Gal

1432 Blaser, J. P. ; Bonanomi, J. ; Nature 182 , 859 (1958) ^3^' (maser)

Comparison of NH^ maser with Cs atomic frequency (AB)

standard.

139
1434 Boudouris, G. ; Ilias, D. ; Comptes rendues 246 . 730 (1958) NH^ + A,

A/[icrowave absorption of some gaseous solutions.

^

1435 Boudouris, G. ; Ilias, D. ; Comptes rendues 246, 1407 (1958) NH^ + NH^C_,H

3 2 2 5 Measurements of the absorption of microwaves by binary C H + A

gaseous mixtures. 2 2 5

1436 Burrus, C. A. ; J. Chem. Phys. 28, 427 (1958); Stark ' H^P, HI, CO

effect from 1. 1 to 2. 6 mm. wavelength: PH PDo>

CO.

1739 Burrus, C. A. ; Graybeal, J. D. ; Phys. Rev. 109 , 1553 NO

(1958); Stark effect at 2.0 and 1.2 millimeters wavelength:

nitric oxide.

1438 Colpa, J. D. ; Ketelaar, J. A. A. ; Molecular Phys. _1_, 343 (1958); Pre s sure -induced rotational absorption spectrum

of hydrogen. IL

1440 Cowan, M, ; Gordy, W. ; Microwave Lab. , Duke U. HCl, HBr, HI

Precision measurements of millimeter and submillimete

wave spectra: DCl, DBr, and DI. Aug. 1, 1958.

1441 Cowan, M. ; Gordy, W. ; Phys. Rev. JJJ., 209 ( 1958); Pre- HCl, HBr, HI

cision measurements of millimeter and submillimeter wave

spectra: DCl, DBr, DI,

1449 Fitzky, H. G. ; Z. Physik J_5]_, 351 (1958); The microwave TlCl, Til, TlBr,

rotation spectrum of thallium (I) halides. TIF

1452 Garrison, A. G. ; Univ. Microfilms, Pub. No. 27 32 , Review

Dissertation Abstracts 19 , 546 (1958); Millimeter wave

spectroscopy of molecular beams at high temperature.

1454 Graff, G. ; Paul, W. ; Schlier, Ch. ; Z. Physik 153 , 38 TIF (MB)

(1958); Measurement of the hype rfine structure of TIF by

means of the molecular-beam- re sonance method.

1463 Hurle, I. R. ; Sugden, T. M. ; J. Sci. Instr. 25, 319 CS

(1958); Microwave spectrometer for study of free radicals

(results presented for CS. )

1486 Mizushima, M. ; Phys. Rev. 109 , 1 5 57 ( 1 9 58 ) ; Theory of NO

the Stark effect of the NO molecule.

1492 Pannetier, G. ; Guenebaut, H. ; Bull. Soc. Chim. France HN

1958 , 1463; The rotational structure of the 0, 1 and 1, 0

3 3 bands of the NH radical in the II- S transition.

1497 Quinn, W. E. ; Baker, J. M. ; LaTourrette, J. T. ; H^ (MB)

Ramsey, N. F. , Jr. ; Phys. Rev. 112, 1929 ( 19 58) ; Radiofrequency spectra of hydrogen deuteride in strong magnetic

fields.

140
1498 Ramadier, I. J.; Amat, G. ; J. Phys. Radium 19_, 915 (1958)

Rotational energy of linear molecules. Fourth-order corrections .

Review

1499 Richardson, J, M. ; J. Appl. Phys. 29, 1 37 ( 1958); Experimental evaluation of the oxygen microwave absorption as

a possible atomic frequency standard.

1500 Ring, P. J. ; O'Keefe, J. G. ; Bray, P. J. ; Phys. Rev.

7 19 Letters J_, 453 (1958); Li and F nuclear magnetic

resonances in neutron- irradiated LiF.

LiF

1501 Rosenblum, B. ; Nethercot, A. H. ; Townes, C. H. Phys. Rev. 109 , 400 (1958); Isotopic mass ratios, magnetic moments and the sign of the electric dipole moment

in carbon monoxide.

CO

1502 Rosenblum, B. ; Townes, C. H. ; Geschwind, S. ; Revs.

Mod. Phys. 30_, 409 (1958); Recent determinations of

atomic mass ratios by microwave spectroscopy.

H, C, O, S. Rb,

CO, CS, RbCl

1503 Russell, A. M. ; Phys. Rev. Ill , 1 558 ( 1958) ; Magnetic

6 7 moments due to rotation in Li F and Li F.

LiF

1505 Sessler, A. M. ; Foley, H. M. ; Phys. Rev. 110 , 995

(19 58); Hyperfine structure of deuterium and nucleonnucleon spin-orbit potentials.

1506 Sheridan, J. ; Boll. Sci. Fac. Chim. Ind. Bologna 16, 71

(1958); Recent progress in the microwave spectroscopy of

gases.

Review

1511 Tolbert, C. W. ; Douglas, J. H. ; Britt, C. O. ; Tech. Rept.

Texas U. Electrical Engineering Research Lab. May 15, 1958

Measured absorption of millimeter wavelengths by oxygen at partial atmospheric pressure.

O,

1959

1529 Burrus, C. A. ; J. Chem. Phys. 30^, 976 (1959); Zeeman

effect in the 1- to 3-millimeter wave region: molecular

factors of several light molecules.

HBr, CO, HI,

O,

H3P. O^S, H^S,

1530 Burrus, C. A. ; J. Chem. Phys. 31^, 1270 (1959); Stark

effect at 0. 9 3, 1. 18, and 1. 5 millimeters wavelength; DCl,

DBr, and DL

HCl, HBr, HI

1534 Colpa-Boonstra, J. P. ; France Centre Natl. Recherches

Sci. 77, 41 (1959); Rotational spectra of pure molecular

hydrogen induced by pressure.

H,

141
154 7 Favero, P. G. ; Mirri, A. M. ; Gorfi;, W. ; Duke U. NO

Microwave Lab. (1959); Millimeter-wave rotational spectrum

2 of NO in the ^3/2

1558 Iddings, C. K. ; Platzman, P. M. ; Phys. Rev. 113, 192 H

(1959); Nuclear structure correction to the hyperfine structure

in hydrogen.

2

1559 Iddings, C. K. ; Platzman, P. M. ; Phys. Rev. 115 , 919

(1959) ; Meson corrections to the hyperfine structure in

hydrogen.

1587 Maryott, A. A. ; Kryder, S. J, ; J. Chem. Phys. 3l_, NO

617 (1959); Nonresonant microwave absorption and electric dipole moment of NO in the gaseous state.

1591 Mizushima, M. ; Tech. Rept. - Colorado University, O^

Jan. — Mar. 1959. Research studies in connection with

microwave spectrum of the O^ molecule.

1599 Pannetier, G. ; Guenebaut, H. ; Hajal, I. ; Bull. Soc. Chim. HN

France 1959, 1159; Rotational analysis of the (O, O) band

3 3 of the II - S transition of the ND radical.

1605 Ransil, B. J. ; J. Chem. Phys. 30, 1 1 1 3 ( 19 59 ) ; Quadrupole CO

coupling constant, dipole moment, and electron population

of CO.

I960

1641 Cowan, M, J. ; Univ. Microfilms, Pub. No. 262, Disser- HI, HCl, HBr, CO

tation Abstracts 20, 4139 (I960); Microwave spectroscopy

in the 0. 5 to 1.5 millimeter wave region: HI, DCl, DBr,

DI, and CO.

1654 James, T. C. ; Norris, W. G. ; Klemperer, W. ; J. Chom. LiH (IR)

Phys. 32, 728 (I960); Infrared spectrum and dipole moment

function of lithium hydride.

1667 Lefebvre-Brion, H, ; Moser, C. M. ; Phys. Rev. 118 , 675 NO

(1960) ; Calculation of the magnetic hyperfine structure coupling

constants of NO.

1673 Lin, C. C. ; Phys. Rev. 1 19 , 1027 ( I960); Hyperfine structure NO

of the microwave spectra of the NO molecule and the nuclear

quadrupole moment of nitrogen.

1674 Lin, C. Co ; Hijikata, K. ; Sakamoto, M, ; Oklahoma U. NO

Research Institute (I960); Electronic structure and hyperfine structure constants of NO molecule.

1682 Maryott, A. A. ; Birnbaum, G. ; J. Chem. Phys, 32^. 686 O^

(i960); Microwave absorption in compressed oxygen.

142
1684

1693

1709

1713

1728

1731

1732

1738

1739

1741

1744

1863

1958

1959

1960

1961

i

ll

Mizushima, M. ; J. Chem. Phys. 32^, 691 (I960); Theory

of microwave absorption by compressed oxygen gas.

Radford, H. E. ; NBS Report 701

1

, (I960); The microwave HO

Zeeman effect of free hydroxyl radicals.

Wharton, L. ; Gold, L. P. ; Klemperer, W. ; J. Chem. LiH

Phys. 33^, 1255 (I960); Dipole moment of lithium hydride.

Zimmerer, R. W. ; Rev. Sci. Instr.

3J_. 106 (1960); Precision Zeeman modulation microwave spectrometer.

Additions to Bibliography

Stitch, M. L. ; Honig, A.; Townes, C. H. ; Phys. Rev. KCl, TlCl

86, 607 (1952); High temperature microwave spectroscopy-

"spectrum of KCl, TlCl.

White, R. L. ; Revs. Mod. Phys. 2J7, 2^76 (1955); Magnetic FCl

hyperfine structure due to rotation in S molecules.

Altshuller, A. P.; J. Chem. Phys. 2^, 2074 (1953); Dipole TlBr Til

moments of gaseous thallous halides.

Greenhow, C. ; Smith, W. V. ; J. Chem. Phys. J^, 1298

(1951); Molecular quadrupole moments of and O^. ,

Burrus, C. A. ; Graybeal, J. D. ; Phys. Rev. 109 , 1553 NO

(1958); Stark effect at 2. 0 and 1. 2 millimeters wavelength:

nitric oxide.

Henry, A. F. ; Beringer, R. ; Rawson, E. B. ; Phys. Rev. NO

94, 343 (1954); Microwave resonance in nitric oxide: A

doubling and hyperfine structure.

Van Vleck, J. H. ; Report 664 from Radiation Laboratory ^2^' ^2

MIT (March 1, 1945); Further theoretical investigations on

the atmospheric absorption of microwaves.

Madden, R. P.; Benedict, W. S. ; J. Chem. Phys. 23, 408 OH (IR)

(1955); Pure rotational lines of OH.

Zimmerer, R. W. ; Mizushima, M. ; Phys. Rev. 121, 152 O^

(1961); Precise measurement of the microwave absorption

frequencies of the oxygen molecule and the velocity of light.

Hendrie, J. M. ; Kusch, P.; Phys. Rev. _107, 716 (1957) O^

Bowers, K. D. ; Kam.per, R. A. ; Lustig, C. D. ; Proc. O

Roy. Soc. A251, 565 (1959)

2

Ehrenstein, G. ; Townes, C. H. ; Stevenson, M. J. ; Phys. OH

Rev. Letters 3, 40 (1959)

143
American Institute of Physics Handbook, McGraw-Hill Book

Co. , Inc. (1957)

Herzberg, G. , Molecular spectra and molecular structure. I "Spectra of Diatomic Molecules: D. Van Nostrand Co. , Inc. , (1947)

Herzberg, G. , Molecular spectra and molecular structure. II. "Infrared and Raman Spectra of Polyatomic Molecules" D. Van

Nostrand Co. , Inc., (1947)

144
Microwave Spectral Tables

This five-volume NBS Monograph will present a comprehensive compilation of microwave spectra including measured frequencies, assigned molecular

species, assigned quantum numbers, and molecular constants determined from

these data. The first two volumes are now available and the other three will

follow at approximately six-month intervals.

Titles of the volmmes

1. Diatomic Molecules

II. Line Strengths of Asymmetric Rotors

III. Hindered Rotors

IV. Symmetric and Asymmetric Rotors

V. Frequency Listing
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