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TRANSCRIPT
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
. c
I! \
c
PREFi lFED BY
J. Pressman T. Wentink C. Schuler
GCA COFPORATION GCA TECHNOLOGY D I V I S I O N
BEDFORD, MASSACHUSETTS
, $ I GPO PRICE
CFSTI PRICE(S) $
Hard copy (HC) 3. 00 Microfiche (MF) d_s-~
ff 653 Ju ly65
https://ntrs.nasa.gov/search.jsp?R=19680013715 2018-07-06T04:51:17+00:00Z
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p a r t i c u l a r l y any new re fe rences or unpublished but r e t r i e v a b l e new r e s u l t s .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qv t v" and/or rv tv t t may not be published bu t a r e l i s t e d i f t hey a r e re-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 ) .
F j F R A S E R I P ~ A . P R C C . PHYS. SCC. ( L O N D O N ) 9 V . 6 6 9 P . 1 1 5 3 ( 1 9 5 3 )
1-4 F R A S E R , P * A * ANC, J A R M A I N , W * H . PROC. P t i Y S . 5 0 C o ( L O N D O N ) , V .66 P o 1 1 4 5 ( 1 9 5 3 ) .
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N 1 6 N I C H O L L S ~ H O W . I N SUPERSONIC F L O Y r CHEMICAL PROCESSES, AND R A D I A T I V E TRANSFEI(, P o 4 1 3 9 (ED. C!LFEr!J.H. AND ZACKKAY,V.), PEHGAMCN PRESS, N.Y. ( 1 9 b 4 ) .
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