STUDY ON THEORY AND A P P L I C A B I L I T Y

O F LASER TECHNIQUES FOR MEASURING

ATMOSPHERIC PARAMETERS

APPENDIX 1

OF

SECOND QUARTERLY REPORT

CONTRACT NAS 1 2 - 5 4 0 OCTOBER 1 9 6 7

PREPARED FOR

NATIONAL AERONAUTICS AND S P A C E ACMINISTRATION

E L E C T F O N I C S RESEARCH CFNTFR

CAWBRIDGF:, M4SSACHUSFTTS

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PREFi lFED BY

J. Pressman T. Wentink C. Schuler

GCA COFPORATION GCA TECHNOLOGY D I V I S I O N

BEDFORD, MASSACHUSETTS

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APPENDIX I

C O F P I L A T I O N OF KNOWN FRANCK-CONDON FACTORS AND r-CENTROIDS

I 'I I 8 I

I I I I R ' I' 8

~'

;'r The fol lowing t a b l e l i s t s a compilat ion of sources of q and vfvlf -

r m a t r i c e s . This i s PRELIMINARY and w i l l be r ev i sed f o r t he f i n a l

r e p o r t under Contract No. NAS12-540 i n e a r l y 1968. Readers a r e r eques t ed

vtvtf . 7

t o r e p o r t any e r r o r s or omissions, sugges t ions t o improve u t i l i t y , and

p a r t i c u l a r l y any new re fe rences or unpublished but r e t r i e v a b l e new r e s u l t s .

In the t a b l e s , we l i s t r e f e r e n c e s t o t h e o r i g i n a l a r r a y s f o r approxi-

m a t e l y 50 diatomic molecules and i n some c a s e s a d d i t i o n a l l y t h e i t i o n s o r

i s o t o p i c m o d i f i c a t i o n s , and some 165 s e p a r a t e band systems. The m a t r i x

s i z e ( ex ten t i n maximum V I and c cove red) i s given, whether i t i s based

on t h e Morse o r FXR (more r e a l i s t i c , t a b u l a r ) p o t e n t i a l assumption, and

i f t h e known c a l c u l a t i o n included an equ iva len t r - c e n t r o i d a r r a y . The

qv t v" and/or rv tv t t may not be published bu t a r e l i s t e d i f t hey a r e re-

t r i e v a b l e .

-

We have r e f r a i n e d from judgements a s t o t h e b e s t a r r a y , a l though we

ma t r ix s i z e , e s p e c i a l l y V t V t t

i n t e n d t h i s l a t e r . I n g e n e r a l , the l a r g e s t q

i f accompanied by a rVlvtt m a t r i x , i s a i n d i c a t i o n t h a t modern l a r g e com-

p u t e r s have been used and a l s o i s f a i r l y r e c e n t and s o probably i s a b e s t

c h o i c e . Ibis i s p a r t i c u l a r l y t r u e i f an RKR p o t e n t i a l w e l l w a s used. An

important excep t ion , based on our expe r i ence , i s Reference F-5 f o r NO(?');

Reference W-7 i s recommended i n s t e a d .

-

* By T . Wentink, J r . and E . D . Schultz

77

The 96 r e f e r e n c e s p e r t a i n i n g t o t h i s Appendix and fol lowing Table 1

have been typed by a n I B M p r i n t e r d i r e c t l y from I B M c a r d s .

was chosen t o f a c i l i t a t e p re sen t and f u t u r e e d i t i n g , and subsequent

p r i n t i n g s o f an a n t i c i p a t e d expanded r e f e r e n c e l i s t .

This approach

1 I 8 I I I I I I I I I' I' ' I I

78

K E Y TO TABLE 1

a : Includes some mod i f i ca t ion of p o t e n t i a l such as Morse-Pekeris.

b : Rydberg-Rlein-Rees o r a l t e r n a t i v e experimental ly determined p o t e n t i a l .

v f = 0 through 4 and v" = 0 through 9 . I n many p u b l i c a t i o n s , t h e

a r r a y s a r e not complete, and o f t e n , q.,,vt, o r ,

u n i t y . 0 x 0 means on ly VI = 0 , vf' = 0 d a t a given.

q v f v t , are l e s s t h a n '\ \ ; r " -1

V V f

d : ( ) i n d i c a t e s unpublished da ta but u s u a l l y a v a i l a b l e on r e q u e s t .

e : [ ] i n d i c a t e s r e f e r e n c e f o r p o t e n t i a l s used i n c a l c u l a t i o n of RKR

a r r a y s .

f : N - 1 1 quoted as unpublished i n Reference N - 1 0 .

g: Data of Reference S-8 f o r D-A of MgO a r e a p p l i c a b l e t o a good approxi-

mation t o C-A s i n c e the v i b r a t i o n a l c o n s t a n t s of C and D a r e so s imi la r .

h : qvtvlr not given e x p l i c i t l y .

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u i D K A K k , u . . F . , T Y T t , U. c . * A N L ~ N I CHOLLS , H . w . J m GLJANT. S P L C T H O S C . K k l ~ l h T . TRANSFtH, V . 7 9 P . 6 3 9 ( 1 9 6 7 ) .

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Jt3 J AME S 9 T C J. MOL. SPECTRY., V o 2 0 9 P . 7 7 ( 1 9 6 6 ) .

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N5 N I C H O L L S I R ~ W . J . QUANT. SPtCTROSC. KADIAT. T R A N S F E R , V.29P.433 ( 1 9 6 2 ) .

N6 NICHOLLS,R*W* CAN. J. PHYS.9 V.4O,P.1772 ( 1 9 6 2 ) .

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J. RES. N A T L o BUR. STD.9 (U.S.), V 0 6 5 A , P o 4 5 1 (1961) .

~Y NICHOLLS,R.W. CAN. J. PHYS.9 V o 3 8 , P 0 1 7 0 5 (1960) .

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N 1 1 NICHOLLS,R.W. UNPUELISHED WORK, QUOTE0 BY N I C H O L L S ( N 1 0 ) .

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N 1 7 NICHOLLS,R.W. ASTROPPIYS. J . 9 V .141rP.819 ( 1 9 6 5 ) .

N L 1 N I C H O L L S r R * W . PROC. PHYS. SOC. (LONDON), V o A 6 9 9 P . 7 4 1 ( 1 9 5 6 ) .

N 2 2 NICHOLLS,R.W. PROC. PHYS. SOC. (LONDON) 9 V * A 6 9 * P * 7 1 3 ( 1 9 5 6 )

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