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Atomic spark spectra of tin, Sn III, Sn IV, Sn V Wu, Chien-Ming 1967

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THE OF  ATOMIC SPARK TIN,  S n III,  S P E C T R A  Sn IV,  Sn  V.  by  CHIEN-MING B.Sc.  A  National  THESIS  FOR  Taiwan University,  SUBMITTED  F U L F I L M E N T  OF  T H E  T H E D E G R E E  In t h e  WU:  OF  IN  1962.  PARTIAL  REQUIREMENTS  M A S T E R  OF  SCIENCE  Department of PHYSICS  We  a c c e p t t h i s t h e s i s as  c o n f o r m i n g to t h e  requir  standard.  THE  UNIVERSITY  OF  APRIL,  BRITISH 1967.  COLUMBIA  In  presenting  for  an a d v a n c e d  that  thesis  Department  agree  that  freely  representatives.  of  this  thesis  for  may be g r a n t e d  for  permission,.  of  The U n i v e r s i t y o f B r i t i s h Vancouver 8 , Canada  of  Columbia  It  of  British  available  permission  or  by h i s  fulfilment  University  purposes  my w r i t t e n  Department  the  scholarly  publication  without  at  in p a r t i a l  s h a l l make i t  I further for  thesis  degree  tha L i b r a r y  study,  or  this  for  the  Columbia,  I  reference  and  extensive by  the  requirements  copying  gain  this*  Head o f my  is understood  financial  of  agree  shall  that not  be  copying allowed  ABSTRACT.  The o 3 5 0 A and  s p e c t r a of t i n h a v e b e e n p h o t o g r a p h e d i n the r e g i o n b e t w e e n o  9000A  u s i n g as s o u r c e s an e l e c t r o d e l e s s d i s c h a r g e  condensed spark in helium.  q u a r t z and g l a s s p r i s m  t h i r t y f o u r h u n d r e d and  a  E x p o s u r e w e r e t a k e n by u s i n g a 3 m e t e r  n o r m a l incidence vacuum grating spectrograph large interchangeable  and  and a H i l g e r E-478 spectrograph.  f o u r l i n e s w h i c h w e r e m e a s u r e d , two  Among hundred  a n d t h i r t y f i v e l i n e s w e r e c l a s s i f i e d i n the s p e c t r a S n I a n d S n II on the b a s i s of s q u a r e a r r a y s c o n s t r u c t e d by u s i n g the e n e r g y l e v e l s Mrs.  S i t t e r l y ' s " A t o m i c E n e r g y L e v e l s " , V o l u m e 111 (1957).  from  Five  h u n d r e d a n d e l e v e n l i n e s a r e h e r e i n c l a s s i f i e d i n the s p e c t r a Sn III, Sn I V a n d Sn  V.  TABLE OF  CONTENTS.  Page ABSTRACT  . . .  . . . .  . . .  . .  IV  ACKNOWLEDGEMENTS  . . .  . . .  . .  V  INTRODUCTION  . . .  . . .  . .  1  EXPERIMENTAL  METHOD  ANALYSIS OF RESULTS The  . . . . . .  3  . . .  . .  6  T e r m C l a s s i f i c a t i o n o f S n III . . .  . .  6  . .  6  a.  Energy Levels Observed  «...  b.  5 s 5 p , 5s6p, a n d 5 s 7 p c o n f i g u r a t i o n s  . .  10  c.  5s5d, 5s6d, a n d 5s7d c o n f i g u r a t i o n s  . .  12  d.  5s4f and 5s5f configurations  . . .  . .  13  e.  5p4f c o n f i g u r a t i o n  . . .  . .  15  . .  18  T h e T e r m C l a s s i f i c a t i o n of S n I V a.  Energy Levels Observed  . . .  . .  18  b.  Polarization Formula  . . .  . .  20  c.  ng. s e r i e s  . . .  . .  21  . . .  . .  22  . . .  ...  22  . .  24  The a.  . . .  T e r m C l a s s i f i c a t i o n of S n V Energy Level Observed 9  b.  9  4 d 5 s a n d 4 d 6s c o n f i g u r a t i o n s  CONCLUSION BIBLIOGRAPHY  . . .  . . .  . . .  . .  28  .  . . .  . . .  . .  29  ii  LIST OF  TABLES.  Table  Page  I  O d d ^ E n e r g y L e v e l s of S n III  . . .  . .  6  II  E v e n E n e r g y L e v e l s of S n III . . .  . .  8  . .  12  . .  12  . .  13  . .  16  III  C a l c u l a t e d and O b s e r v e d E n e r g y  Levels  of 5s5p, 5s6p, a n d 5 s 7 p of Sn III IV  C a l c u l a t e d and O b s e r v e d E n e r g y  Levels  of 5 s 5 d , 5s6d, a n d 5 s 7 d of Sn III V  C a l c u l a t e d and O b s e r v e d E n e r g y of 5s4f a n d 5 s 5 f of Sn III  VI  Levels  ...  C o m p l e t e f o r m u l a f o r pf i n the p a i r coupling approximation  ...  VII.  O b s e r v e d a n d t h e o r e t i c a l s t r u c t u r e of 5p4f  VIII  Odd  IX  E v e n E n e r g y L e v e l s of S n I V  X  O d d E n e r g y L e v e l s of S n V  . XI  E n e r g y L e v e l s of S n IV  . . .  . . .  E v e n E n e r g y L e v e l s of Sn V  16 . .  18  . .  19  . .  22  . .  23  . .  25  . .  29  9 XII  C a l c u l a t e d a n d O b s e r v e d L e v e l s of 4 d a n d 4 d 6s of Sn V ...  XIII  T i n Line List  ...  ...  5s  LIST O F  FIGURES.  Figure  Page  1.  T h e c o n f i g u r a t i o n sp i n i n t e r m e d i a t e  coupling  14  2.  The configuration sd in intermediate  coupling  14  3.  T h e c o n f i g u r a t i o n sf i n i n t e r m e d i a t e  coupling  15  4.  Structure  of pf i n i n t e r m e d i a t e  c o u p l i n g i n the  pair-coupling approximation 5.  T h e c o n f i g u r a t i o n d^s  in intermediate  . . . coupling  17 26  V  ACKNOWLEDGEMENTS.  I w i s h to e x p r e s s m y g r a t i t u d e to D r . A . M . interest,  Crooker forhis  a s s i s t a n c e , and encouragement during this r e s e a r c h .  It  i s a p l e a s u r e to a c k n o w l e d g e the t e c h n i c a l a s s i s t a n c e of M r . A . J . F r a s e r , Mr.  J . L e e s , a n d M r . W.J.  Morrison.  INTRODUCTION  A  r e c e n t r e v i e w by  Tousey  (6) of s p e c t r o s c o p y  i n the v a c u u m  u l t r a v i o l e t p o i n t e d out the r e n e w e d i n t e r e s t i n the s u b j e c t s i n c e This interest contributed:  m u c h to the new  ultraviolet is very important.  An  f i e l d . w h e r e the  1945.  extreme  e n o r m o u s a m o u n t of w o r k i s y e t  to be done i n the f i e l d , a n d m a n y s p e c t r a h a v e n e i t h e r b e e n c o m p l e t e d nor  i n v e s t i g a t e d d u r i n g the p a s t t w e n t y y e a r s .  S o m e of t h e s e  w h i c h h a v e not r e c e n t l y b e e n o b s e r v e d a r e the s e c o n d , t h i r d , f o u r t h s p a r k s p e c t r a of t i n , Sn III, S n IV, a n d S n V . p r e s e n t the r e s u l t s two  spectra and  This thesis will  of a study of t h e s e s p e c t r a m a d e d u r i n g the p a s t  years. W h i t e (7) p u b l i s h e d s e v e n t e e n t e r m s a n d t h i r t y - s e v e n c l a s s i f i e d o  o  l i n e s i n the r e g i o n f r o m 1000A to 1500A i n the f o u r t h s p a r k s p e c t r u m of t i n , Sn V .  Two  important basic transition lines between even  odd l o w - l y i n g l e v e l s , 4 d 5 s 9  4d 5s D -4d 5p P° 9  3  9  3  1  ( y  3  ( )J  D - 4 d 5 p p£ 9  3  3  =76794cm" ) 1  )  =76795. 0 c m "  s i t i o n w h i c h was  c l a s s i f i e d was  Table  not m e n t i o n e d .  _ 1  same  i  s t r o n g 0 II l i n e 1302.168A. )f  0 II l i n e was  = 7 6 7 9 3 c m ) and  w e r e i d e n t i f i e d w i t h the  o  being doubly  and  .  The  f a c t that the t r a n -  coincident with a  In the t i n l i n e l i s t s p r e s e n t e d  strong  below in  XIII, the l i n e O i l X. =1302.168A d o e s n o t a p p e a r s i n c e the t i n  2.  l i n e s a r e m e a s u r e d w i t h r e s p e c t to i m p u r i t y l i n e s of H, Si which occur  s t r o n g l y on my  plate.  The  C,  N,  O  and  t e r m v a l u e s of Sn III a n d  Sn I V i n (5) w e r e b a s e d on S h e n s t o n e ' s u n p u b l i s h e d m a t e r i a l w h i c h obtained using a condensed spark i n helium.  The  apparent  was  inadequacy  of White's d a t a and the u n a v a i l a b i l i t y of S h e n s t o n e ' s l i s t s , as w e l l as m o d e r n s u p p o r t i n g w o r k on c a d m i u m , i n d i u m and antimony p r e s e n t l y b e i n g s t u d i e d at U.B.  C.  m a d e i t m a n d a t o r y to r e p h o t o g r a p h ,  re-  m e a s u r e and r e i n t e r p r e t t h e s e s p e c t r a . T h e p r e s e n t w o r k r e p r e s e n t s f o r the m o s t p a r t a n e x t r a p o l a t i o n of r e l a t i v e t e r m v a l u e s i n the C d I, A g  I and A g  II i s o e l e c t r o n i c  s e q u e n c e u s i n g the r e g u l a r and i r r e g u l a r d o u b l e t l a w s a n d the v a r i o u s e x t r a p o l a t i o n m e t h o d s w h i c h a r e d e s c r i b e d b y E d l e n (2).  3.  EXPERIMENTAL  METHOD.  o Two  s e t s of s p e c t r o g r a m s  w e r e t a k e n i n the r e g i o n 3 5 0 A to  o 2400A, both u s i n g a s s o u r c e a n e l e c t r o d e l e s s d i s c h a r g e .  The essential  of s o u r c e tube, e l e c t r i c c i r c u i t a n d h e a t i n g c i r c u i t w e r e d e s c r i b e d i n (8).  A l l p l a t e s w e r e I l f o r d type Q - 2 p l a t e s . F r o m v a p o u r p r e s s u r e d a t a (9), the v a p o u r p r e s s u r e of t i n c a n b e  a p p r o x i m a t e d f r o m the e x p r e s s i o n log^Qp=A+BT~^", w h e r e A a n d B a r e c o e f f i c i e n t s c h a r a c t e r i s t i c of t i n . p=10~  From  T a b l e 1 of r e f e r e n c e ( 9 )  mmHg  T=1270°K  p.=10" m m H g  T=1380°K  4  3  l o g  io " 1 0  log  1 0  4  10"  =  3  f  A + B / 1 2 7 0  = A+B/1380  b y s o l v i n g t h e s e t w o s i m u l t a n e o u s e q u a t i o n s , we o b t a i n A=8.55 B = -15932.73°K Exposure  1 was taken on a 3 m e t e r n o r m a l  incidence vacuum  g r a t i n g s p e c t r o g r a p h of l o c a l d e s i g n (4) to c o v e r the r e g i o n f r o m 350A. o to 2 4 4 O A  o n the t h i r t y  one e i g h t e e n i n c h p l a t e .  i n c h l o n g p l a t e h o l d e r h o l d i n g one t w e l v e  and  T h e o v e n s u r r o u n d i n g the s o u r c e tube w a s  h e a t e d to a p p r o x i m a t e l y 1200  o  C i n o r d e r to p r o v i d e e n o u g h v a p o u r  p r e s s u r e , 0.0053 m m  H g ( 9 ) i to i n i t i a t e the d i s c h a r g e .  T h e gate v a l v e  b e t w e e n the s l i t a n d the m a i n b o d y of the s p e c t r o g r a p h w a s k e p t c l o s e d u n t i l the p r e s s u r e w i t h i n the s p e c t r o g r a p h h a d d r o p p e d to 0. 2 m i c r o n H g W h e n the v a p o u r p r e s s u r e r e a c h e d 0.005 m m  H g , the gate v a l v e w a s  open, a n d the p r e s s u r e i n the s p e c t r o g r a p h r o s e to 0.5 m i c r o n , h e l d d u r i n g the w h o l e e x p o s u r e t i m e , 30 m i n u t e s . w a s two m i n u t e s ,  Developing time  u s i n g J o h n s o n A z o l d e v e l o p e r d i l u t e d to 1 p a r t i n 20  p a r t s of w a t e r a s r e c o m m e n d e d b y t h e m a n u f a c t u r e r . Exposure  which  ,  2 a n d 3 w e r e t a k e n o n the s a m e s e t of p l a t e s i n the s a m e  r e g i o n a s e x p o s u r e 1.  The temperature  of t h e o v e n w a s f i r s t r a i s e d to  o 1200 C o n l y .  Exposure  2 w a s t a k e n f o r 30 m i n u t e s  d i s c h a r g e h a d r u n f o r 30 m i n u t e s intensity was so weak e x p o s u r e temperature  a f t e r the s o u r c e  to e l i m i n a t e i m p u r i t i e s .  S i n c e the  3 w a s t a k e n b y i n c r e a s i n g the o v e n  to a p p r o x i m a t e l y 1 3 5 0 ° C i n o r d e r to p r o v i d e m o r e  p r e s s u r e , 0.0535 m m  H g (9).  vapour  T h e s o u r c e d i s c h a r g e then was r u n f o r  45 m i n u t e s u n d e r t h e s e c o n d i t i o n s .  D e v e l o p i n g t i m e w a s a g a i n two  minutes u s i n g Johnson A z o l developer as d e s c r i b e d above. A n o t h e r t h r e e s e t s of s p e c t r o g r a m s  w e r e t a k e n o n the H i l g e r  inter-  changeable q u a r t z and g l a s s p r i s m s p e c t r o g r a p h a l l u s i n g as s o u r c e a condensed  spark in helium.  T h e e s s e n t i a l s of the s o u r c e tube, a n d  e l e c t r i c c i r c u i t a r e d e s c r i b e d i n (4). E x p o s u r e 4 was taken on a H i l g e r large quartz p r i s m s p e c t r o g r a p h ° o set to c o v e r the r e g i o n f r o m 2 3 4 0 A Q-2 p l a t e .  to 3100A o n a t e n i n c h I l f o r d type  T h e s o u r c e w a s r u n f o r 20 m i n u t e s  i n p r e s s u r e of 6 c m H g  5. of  h e l i u m u s i n g a s l i t w i d t h of 8 m i c r o n s .  exposure  A ten second iron a r c  w a s t a k e n to p r o v i d e s t a n d a r d s b y c l o s i n g the s l i t l e n g t h  d i a p h r a g m to 4 m i l l i m e t e r s .  T h e p l a t e w a s d e v e l o p e d f o r two  minutes  in Johnson A z o l developer as d e s c r i b e d above. Exposure  5 was taken on a H i l g e r l a r g e q u a r t z p r i s m s p e c t r o g r a p h o  set  o  to c o v e r the r e g i o n f r o m 3100A to 7 0 0 0 A o n a t e n i n c h H P  Exposure  3 plate.  t i m e and p r e s s u r e w e r e the s a m e as e x p o s u r e 4 except  a n o t h e r t h i r t y s e c o n d n e o n d i s c h a r g e w a s t a k e n to p r o v i d e the s t a n d a r d s o to c o v e r t h e r e g i o n a b o v e 5 6 0 0 A b y c l o s i n g the s l i t l e n g t h d i a p h r a g m to 6 millimeters.  T h e plate was d e v e l o p e d f o r 5 m i n u t e s  i n Kodak D-19  developer. Exposure  set  6 was taken on a H i l g e r l a r g e g l a s s p r i s m s p e c t r o g r a p h o o  to c o v e r t h e r e g i o n f r o m 4 5 0 0 A to 9 0 0 0 A o n a t e n i n c h K o d a k t y p e  1-N p l a t e .  The s o u r c e d i s c h a r g e was r u n f o r f o r t y m i n u t e s  s u r e of 6 c m  H g of h e l i u m .  at a p r e s -  W i t h the s l i t l e n g t h d i a p h r a g m c l o s e d to  9 m i l l i m e t e r , a f o r t y s e c o n d n e o n d i s c h a r g e w a s "taken t o p r o v i d e o s t a n d a r d s to c o v e r t h e r e g i o n a b o v e 5 6 0 0 A . exposure  A fifteen second iron a r c  w a s t a k e n to p r o v i d e s t a n d a r d s b y c l o s i n g t h e s l i t l e n g t h  d i a p h r a g m to 3 m i l l i m e t e r s . i n K o d a k D-19 d e v e l o p e r .  The plate was d e v e l o p e d f o r 8 minutes  6.  ANALYSIS OF The a.  RESULTS.  T e r m C l a s s i f i c a t i o n of S n III.  Energy Levels T a b l e I.  Configuration  Observed. Odd Energy Desig.  5s5p  P  3  L e v e l s of S n III. J 0 1  Level 53548.1  Interval 1648.6  55196.7 4032.3  P  l  5s6p  3  P  2  59229.0  1  79911.9  0  159940.3 275.9  1  160216.2  2  161439.1  1  162725.9  1222 .9  *P 5s4f  F  3  2  179308.0 36.0  3  179344.0 98.3  1  5p6s  3  F P  4  179442.3  3  179703.7  0  188357.3 656.4  1  189013.7  2  192573.7  1  194513.3  3560.0  1 P  T a b l e I. c o n t . Configuration 5s7p  Desig. P  3  J_ 0  Level  Interval  194954.7 70.2  1  195024.9 309.2  P  1  5s5f  F  3  2  195334.1  1  195500.6  2  .204387.6  3  204403.3  4  204447.1  3  204540.9  15.7  43.8  *F 5p5d  T>  l  D  3  2 1  214154.5 215778.8 78. 3  2  215857.1  3  216519.8  0  217057.5  1  216752.4  662.7  P  3  •305.1 868.4 2  217620.8  ^ P  1  221524.8  F  2  216929-0  3  443.4 3  217372.4 3871.5  F  1  4  221243.9  3  221382.0  T a b l e II. Configuration 5s  E v e n E n e r g y L e v e l s of S n III Desig.  1  5p  J  Level  0  0. 0  0  127309. 3  Interval  2811.4 1  130120.7  2  134567.9  2  128206.0  5p2  0  15196.4  5s6s  1  139638.9  0  143567.9  1  141321.8  2  141526.8  3  141838.6  2  154115.5  1  186671.2  0  187398.6  1  187918. 7  2  187998.3  3  188131.9  2  189690.2  3,4  206111.0  5  206135.2  4  206127.1  1  207960.2  4447.2  D  5s5d  D  205. 0 311.8  5s7s  5s6d  D  79. 6 133. 6  5s5g  24. 2  5s8s  T a b l e II. c o n t . Configuration  Level  Desig.  Interval  1 1  5s7d  208655.0 47. 6 208702.6 77. 5 208780.1 209259.5 219510.8  5s9s  5p6p  1  225859.0  0  226106.9 -154.5  1  225952.4 113.8  2  226066.2  1  226834.3  2  227096.2  3  227031.0  2  227460.5  1  227800.3  0  227939.9  3  242088.7  2  242069.6  3  242112.6  4  242168.2  4  249365.6  261.9 -65. 2  D  5 4f P  43. 0 156. 0  10. T a b l e II. c o n t . Configuration  Desig.  5p4f  J  Level  3  248937.5  Interval  10.4 4  248947.9  5  249372.1  1  249404.9  2  249432.6  3  249224.9  2  249195.2  is  244418.cm  424. 2  D  27. 2 -207.7  -1  T h e r e were t h i r t y - s i x odd and forty-eight even l e v e l s e s t a b l i s h e d in this spectrum..  Two  hundred and seventy s i x lines have been c l a s -  s i f i e d a s S n III t r a n s i t i o n s , b.  5 s 5 p , 5s6p, a n d 5 s 7 p c o n f i g u r a t i o n s . If we  denote b y E the r e l a t i v e t e r m v a l u e , c o u n t e d u p w a r d  the g r o u n d s t a t e , a n d b y E £ s c a l e , the a b s o l u t e t e r m T  from  the v a l u e of the s e r i e s l i m i t c o n the s a m e  value i s defined as  = E,^  - E  (1)  F r o m B o h r ' s t h e o r y , T c a n be w r i t t e n as  where  £  = n - n*.  We  may  e x p r e s s the R i t z f o r m u l a i n the f o l -  lowing f o r m : £  where  =  o<+  £  and ^ a r e constants.  t i o n to o b s e r v e d u n p e r t u r b e d  T  (3)  This is a remarkably  series.  good a p p r o x i m a -  It i s t h e n v e r y c o n v e n i e n t to  s t a r t w i t h a n a p p r o x i m a t i o n v a l u e E ° ^ a n d the c o r r e s p o n d i n g  values  T ° and £ ° .  The approximation relation follows f r o n v E q .  (3) a n d  the d e f i n i t i o n of & : <> + A  T  0  The  c o r r e c t i o n value  =ofrfT  A T=E  (4)  - E ^ c a n be d e t e r m i n e d f r o m  t h r e e s e r i e s m e m b e r s ( i n d i c e s 1,2,3) b y s o l v i n g f o r £± T:  (T *  T  =  2  (T  X  1  - T ) (^2  -  2  - T ) (n^/T 2  63) - ( T - T ) ( £ l 2  - n*/T ) - ( T  3  2  2  -^2)  3  - T ) (n*/T 3  - nf/Tj)  2  5s5pc.g.  67554  T ^  178466  5s6pc.g.  161470 T =  84550  n = 3.417  £2  =2.583  5s7pc.g.  195262  50758  n = 4.411  £  =2.589  2  T = 3  Substituting these values A T = -1602  5  )  2. 352 ^ ° = 2. 648  2  3  3  i n t o E q . (5), we cm"  obtain  1  2 1 -1 Therefore,:, i o n i z a t i o n p o t e n t i a l (5s S ) i s 244418 c m .  This method  Q  i n v o l v e s a n i t e r a t i o n , w h i c h o n the n e x t a p p l i c a t i o n g a v e The  (  f o u r e n e r g y l e v e l s of s X  A  configurations a r e given  T=25  cm"  b y the  relations: ^3  j s +F  I  By  q  - 1/4^1-  A  A ( L  )  2  + 1/4 Jt(  (6)  - G f c - 1/2 ( £ + 1 ) J ^  ^ —, where  , a n d e x p r e s s i n g the e n e r g y i n u n i t s o f  l ) ^ i w i t h 1/2 ( x  into  1.  J(G + l/4j  _ 1+ i n t r o d u c i n g a c o u p l i n g p a r a m e t e r vb = 4G$_  (2 1 + 4  =F  q  T A S (1) p. 271  +  3  L j_ ) a s z e r o l e v e l .  We  transform  E q . (6)  1  E(  L | -  E (  L ^ +  3  s JL E( L X  V_  1) = -1 1) = -1 + 2  f  (7)  i)  .3 E(  T a b l e III.  L ^ )  C a l c u l a t e d a n d O b s e r v e d E n e r g y L e v e l s of 5s5p, 5s6p, a n d 5 s 7 p of S n III.  Configuration 5s5p  5s6p  5s7p  Desig.  J  P  0  53548.3  53548. 1  0. 2  1  55149.3  55196.7  -47.4  2  59229. 1  59229.0  0. 1  1 p  1  79959.3  79911.9  47.4  P  0  159940.7.  159940.3  0.4  1  160221.4  160216.2  5.2  2  161439.0  161439. 1  -0. 1  1 p.  1  162720.8  162725.9  -5. 1  P  0  194956.8  194954.7  2. 1  1  195009.6  195024.9  -15.3  2  195333.6  195334. 1  -0.5  1  195516.0  195500.6  15.4  3  3  3  P  1  Cal. Level  Obs. L e v e l  C a l . -Obs,  c. . 5 s 5 d , 5 s 6 d , a n d 5 s 7 d c o n f i g u r a t i o n s . T a b l e IV.  C a l c u l a t e d a n d O b s e r v e d E n e r g y L e v e l s of 5s5d, 5s6d, a n d 5 s 7 d of S n III.  Configuration 5s5d  Desig.  J_  Cal. Level  D  1.  141322.1  3  Obs. L e v e l 141321.8  C a l . -Obs. 0. 3  T a b l e IV. cont. Configuration  Desig.  5s5d  'D  5s6d  5s7d  Cal. Level  Obs. L e v e l  Cal.-Obs.  141523.2  141526.8  -3.6  141836.4  141838.6  -2.2  D  2  154119.2  154115.5  3. 7  >D  1  187919.0  187918.7  0. 3  2  187996.5  187998.3  •1.8  3  188131.3  199131.9  •0. 6  D  2  189692.1  189690.2  1.9  'D  1  208656. 1  208655.0  1. 1  2  208699.1  208702.6  3  • 208785'. 6  2  209263.2  1 D d.  J  -3.5  208780. 1  5.5  209259.5  3.7  5 s 4 f a n d 5s5f c o n f i g u r a t i o n s . Table V. !  C a l c u l a t e d a n d O b s e r v e d E n e r g y L e v e l s of 5 s 4 f a n d 5 s 5 f o f S n III.  Conf igur ation 5s4f  5s5f  Desig.  J  Cal. Level  2  179307.6  179308.0  -0.4  3  179352.0  179344.0  8.0  4  179442.8  179442.3  0.5  3  179695,8  179703.7  -7.9  2  204387.5  204387.6  -0.1  3  204406.0  204403.3  2.7  204446.7  204447.1  •0.4  204538;2  204540:9  -2:7  3  Obs. L e v e l  Cal.-Obs,  14.  15.  e.  5p4f c o n f i g u r a t i o n . The  was  derived  c o m p l e t e f o r m u l a f o r pf i n the p a i r - c o u p l i n g by'Ericksson  (3).  The  approximation  e n e r g y l e v e l s are shown i n T a b l e  VI.  16, Table VI.  C o m p l e t e f o r m u l a f o r p f i n the p a i r - c o u p l i n g approximation. Relative  Desig.  Limit L  J  K  J  1 1/2  G (4 1/2)  5,4  1 1/2  G (3 1/2)  4,3  + 1/2  3p+  \/4f F(3  5F  2  5 F  r  1/2  Energy  2  J(3/4/ -  t  f  5F ) +75F. 2  2  l/2)'.4,3  D ( 2 1/2) 3,2  1 1/2  1/4 t - 3 / 2 F t ((3/4 S p  F  1/2  T a b l e VII.  + 1/2  1+  P  12F  obs.  E  cal.  E  , cal.  2  +180F2  - EJ  obs. i  152.8  2555  2707.8  (4 1/2)  2502  2502  (2 1/2)  2345.3  2274.6  -70. 7  (3 1/2)  2076.2  2076.6  0.4  (3 1/2)'  -4723.3  -4719.6  3.7  (2 1/2)'  -4786.5  -4718.0  78.3  = 246867, 2 c m -  F  -  f  29.4 c m  P a i r splitting  0. 0  - 1  X- = 4 7 1 0 . 0 c m =  2  2  (1 1/2)  2  - 3/2F )  O b s e r v e d a n d t h e o r e t i c a l , s t r u c t u r e of 5p4f.  Desig.  E  f  (2.1/2)' 3, 2  D (1 1/4) 2, 1  1 1/2  2  1  1  ^- 50 c m  -1  i  It i s s e e n f r o m F i g . 4 that the i n t e r a c t i o n e n e r g y h a s a d e c i s i v e i n f l u e n c e on the t e r m t h a n K=3  1/2.  structure.  The  e f f e c t i s g r e a t e r f o r K=2  The magnitude approaches  a p p r o a c h i n g z e r o i n e a c h of the two  0.00  F i g . 4.  0.05  a r a t i o of 12;fc5' f o r F  cases.  0.10  , S t r u c t u r e of pf i n i n t e r m e d i a t e c o u p l i n g i n the p a i r - c o u p l i n g a p p r o x i m a t i o n .  1/2 /  T h e T e r m C l a s s i f i c a t i o n of S n IV. a.  Energy Levels  Observed.  T a b l e VIII. Configuration 5p  O d d E n e r g y L e v e l s of S n I V .  Desig:.  I  P  1/2  2  :  Level  Interval  69564.3 6508.5  6  2  P  P  1 1/2  , 76072.8  1/2  197851.2  1 1/2  200031.3  2 1/2  210318.2  3 1/2  210257.7  1/2  23,3153. 2  2180. 1  4f  2  F  -60.5  4d 5s( D)5p 9  3  P  4  -4043.2 1 1/2  229110.0 -5606.0  F  4  2 1/2  223504.0  1 1/2  234038.7  2 1/2  229894. 1  3 1/2  229344.7  -4144.6 -549.4  4 1/2 4  D  1/2  241051.3 •3237. 6  1 1/2  237813.7 •1643. 3  2 1/2  236270.4 -101.0  2  F  3 1/2  236169.4  2 1/2  240881.6 2422.3  2  P  3 1/2  243303.9  1/2  242980. 1  1 1/2  242715.4  -264.7  19. T a b l e VIII. c o n t . Configuration 4d 5s( D)5p 9  3  Level  Desig 2^  1 1/2  244708.6  2 1/2  246604.7  Interval  1896.1  4d 5s( D)5p 9  1  2  2  F  D  2 1/2 3 1/2  259875.4  1 1/2  260398.5  2 1/2 2  P  1/2 1 1/2  7p  2  5f  2  8p  2  P  F  263718.5  1/2  250017.4  11/2  250838.5  2 1/2  254468.3  3 1/2  254447.9  1/2  274609.3  P  821. 1  -20.4  106.9 1 1/2  274716.2  6h  2  H  •.. 4 1/2,5 1/2  279786. 7  7h  2  H  4 1/2,5 1/2  292714.4  2  H  4. 1/2,5 1/2  301114. 7  8h T a b l e IX. Configuration 5s 5d  E v e n E n e r g y L e v e l s of Sn IV. Desig 2„  'D  J . 1/2  Level  Interval  0. 0  1 1/2  165304.5  2 1/2  165410.8  1 1/2  177941. 1  106. 3  4d 5s 9  2  'D  •8707.5  20. T a b l e IX. cont. D e s i g.  Configuration 4d 5s 9  2  2 2  6s  S  6d  2  7s  2  2  |8s  Level  J  D  1/2  169233.6  1/2  174140.1  1 1/2  234798.9  2  1/2  235128.5  S  1/2  237617.5  s  1/2  268545.8  2  G  3 1/2,4  1/2  258283.7  6g  2  G  3 1/2,4  1/2  279860.8  7g  2  G  3 1/2,4  1/2  292888.4  '5g.  SQ) i s 328842.6 c m  Ionization potential ( 4 d ^ In t h i s energy  spectrum  Interval  ^.  there were thirty-four odd and thirteen even  levels established  w i t h one h u n d r e d a n d n i n e t e e n l i n e s c l a s -  sified as Sn IV t r a n s i t i o n s , b.  Polarization Electrons  The  Formula.  s u c h a s nd, nf, ng, a n d n h h a v e n o n - p e n e t r a t i n g  quantum defect  &  orbits.  exhibits a s t r i k i n g r e g u l a r i t y i n its dependence  on JL , w h i c h i s c o n n e c t e d w i t h the f a c t that f o r t h e s e s e r i e s  S is  determined  core in  almost  e n t i r e l y b y the p o l a r i z a t i o n of the a t o m i c 2  the f i e l d of the o u t e r e l e c t r o n . bution  A  p to the t e r m  ^ P  =  T  = 2.  This polarization  v a l u e T that m a y  makes a contri-  be w r i t t e n a s  - H T  A ( Z ) p ( n , I)  E q . (20.6) of R e f e r e n c e ( z ) .  [ l + K ( Z ) q ( n , JL  )J  (8)  W h e r e T i s the a b s o l u t e t e r m v a l u e ,  T V , i s the c o r r e s p o n d i n g h y d r o -  g e n i e t e r m v a l u e c o r r e s p o n d i n g to the p r i n c i p a l q u a n t u m n u m b e r n . T p j c a n be e x p r e s s e d a s f o l l o w s : f>2 T„ =  H  ^i— -n*-  r  [  ^ 2 ^ 2  j  1 +  n  7  \  ^  (  n  U+l/2  - 3/4)  (9)  J  w h e r e o ^ i s the S o m m e r f e l d f i n e - s t r u c t u r e c o n s t a n t = -r  and  j  Kc i s the net c h a r g e of the c o r e . T a b l e 19 of R e f e r e n c e T series,  (2).  A ( Z ) and K ( Z ) a r e tabulated i n  If we at l e a s t h a v e t h r e e m e m b e r s  of the  E q . (8) c a n b e u s e d f o r c a l c u l a t i n g the i o n i z a t i o n p o t e n t i a l .  Since q(n,  ) is v e r y m u c h s m a l l e r t h a n 1 f o r n f , n g , a n d n h c a s e s ,  the q u a d r u p o l e p o l a r i z a t i o n t e r m A ( Z ) K ( Z ) p ( n , X n e g l e c t e d w h e n o n l y two m e m b e r s  )q(n,  JL- ) c a n be  of the s e r i e s a r e a v a i l a b l e .  The  i o n i z a t i o n p o t e n t i a l w i l l t h e n be due to d i p o l e p o l a r i z a t i o n A ( Z ) p ( n , Ji only. c.  ng  series.  B y a p p l y i n g E q . (8) to 5 g , neous  6g,  a n d 7g,  we o b t a i n t h r e e s i m u l t a -  equations:  I.P.  - 3 2 8 6 5 1 . 9 = 0. 5 5 7 4 A ( l + 0 . 0 0 5 3 4 K )  I.P.  - 3 2 8 7 2 5 . 0 = 0. 3 5 8 4 A ( l + 0 . 0 0 6 9 5 K )  I.P.  - 3 2 8 7 6 5 . 9 = 0. 2 3 9 3 A ( l + 0 . 0 0 7 8 K )  B y solving these three equations, I.P.  = 328842. 6  A ( Z ) = 388. 8 K(Z) =  -12.0  we h a v e  22. T h e T e r m C l a s s i f i c a t i o n of S n V . a.  Energy Levels  Observed.  T a b l e X. Configuration 4d 5p 9  O d d E n e r g y L e v e l s of S n V .  Desig. 3  P  J 2  Level  Interval  259554.8 -8864. 1  1  268418.9  0  274045.5'  4  269178.4  3  262739.5  2  273788.6  3  274824.5  5378.7  2  269445.8  12146.5  1  281592.3  P  1  277012.4  *F  3  280240.2  D 3 P  2  283070.8  2  400648.5  1  406097.2  -5626.6  F  3  6438.9 11049. 1 3 D  1  1  4d  9  6p  -5448.7 -8212.4  *P  0  414309.6  1  414651.8  23. Table XI. Configuration 4d  10  E v e n E n e r g y L e v e l s of S n V . Level  Desig. 1  0 3  4d 5s 9  Interval  0.0 183027.7 •2454. 1  2  185481.8  1  191655.6  D  2  193516.7  'D  3  379399. 1  2  380618.2  •6173.8  4d  9, 6s  •1219. 1 •6173.8  D 4d  5s  1  388009.9  2  388962.7  4  385129.0 -7547.7  3  392676.7  2  395077.7  2  401714.4  1  406665.1  -2401.0  -4950.7  0 0 D  9 4d  5d  2  411255.5  4  414318.6  1  373176.7  5 4  379098.4 -6997.8  T a b e l X I . cont. Configuration  Desig.  J  Level  3  386096.2  2  379931.3  1  379955.3  0  383217.6  3  380477.3  2  382023.5  1  388815. 1  4  382404.1  Interval  -24. 0 •3262.3  4d  9  D  5d  3  D  G  4  9 2  I o n i z a t i o n p o t e n t i a l (4d  1/3)  i s 583000 c m  -1  (5).  In t h i s s p e c t r u m t h e r e w e r e s i x t e e n o d d a n d t w e n t y - s i x levels established.  even  One h u n d r e d and s e v e n l i n e s have been c l a s -  s i f i e d as Sn V t r a n s i t i o n s . b.  9  9  4 d 5s a n d 4 d 6s C o n f i g u r a t i o n s .  The  9  9  c o n f i g u r a t i o n s 4 d 5s a n d 4 d 6s a r e e x a m p l e s of c o n f i g u r a  t i o n s of one s e l e c t r o n a n d a n o t h e r e l e c t r o n - h o l e w i t h a r b i t r a r y Jl  4 JL +1  /  •? s a r e o b t a i n e d b y r e v e r s i n g the s i g n J v U "  the E q . (6). T h e f o u r e n e r g y l e v e l s of the c o n f i g u r a t i o n JL ^ ^ a r e g i v e n b y the f o l l o w i n g  1  +  *  !  expression:  3  |  = F  Q  + I./4 i j j  J ( G ^ -  l / 4 j ^  + 1/4 j?(  2  i  + 1) L J L  3 3  L L^_ J  1 =  F  - G ^ + 1/2  (JUl)£*£.  By introducing a coupling parameter  ^~ G  4 -  ^. + 1)  transform  r  "  E(  3  4  3  E( L 3  i +  , where  the e n e r g i e s  ^ with 1 / 2 ( ^ L ^ + L £ )  previous  L  • and expressing  l|/ =  a  s  t  n  e  z  e  r  o  i n u n i t s of level,  we  r e l a t i o n s into  ) = -1 ) = -1 +  Table XII.  2 ^  C a l c u l a t e d a n d O b s e r v e d L e v e l s of 4 d 5 s a n d 4 d 6 s of S n V . 9  Configuration  Desig.  9 4d  9  J  Cal. Level  Obs. L e v e l  . C a l . -Obs.  3  183037.7  183027.7  10.0  2  185081.0  185481.8  -400.8  1  191665.4  191655.6  9.8  2  193917.0  193516.7  3 5s  D  1 D 4d 6s 9  3  D  3 2  379399.0 380565.6  379399.1 380618.2  400.3 -0.1 -52.6  26. T a b l e XII. cont. Configuration 4d  9, 6s  De s i g .  J  Cal.Level  Obs. L e v e l  Cal.-Obs.  1  388009.5  388009.9  -0.4  2  389014.4  388962.7  51.7  Fig.  5.  The  configuration d9  s  in intermediate  coupling.  CONCLUSION.  In t h i s t h e s i s , o n l y 2 1 . 7 % of the l i n e s i n m y  l i s t s have  been  c l a s s i f i e d , h o w e v e r , i t i s b e l i e v e d that s i n c e t h e s e a r e the s t r o n g e s t l i n e s i n the s p e c t r u m , about 6 0 % of the l i n e i n t e n s i t y i s contributed by c l a s s i f i e d lines.  T h e b a s i c s t r u c t u r e of the  spectra  of Sn III, IV, V h a v e b e e n e s t a b l i s h e d i n the c o u r s e of a c o m p r e h e n s i v e r e - e x a m i n a t i o n of the s p a r k s p e c t r a of t i n . In S n III the e s t a b l i s h m e n t of f o r t y - e i g h t e v e n a n d t h i r t y - s i x o d d t e r m s have p e r m i t t e d the c l a s s i f i c a t i o n of two h u n d r e d a n d seventy s i x lines. In S n IV, one h u n d r e d a n d n i n e t e e n l i n e s h a v e b e e n c l a s s i f i e d as  combinations between thirty-four  odd levels and t h i r t e e n even  levels. In S n V , the e s t a b l i s h m e n t of t w e n t y - s i x e v e n a n d s i x t e e n o d d l e v e l s h a v e p e r m i t t e d the c l a s s i f i c a t i o n of one h u n d r e d a n d s e v e n lines. In p r e v i o u s w o r k , a t o t a l of o n l y one  h u n d r e d a n d twenty f i v e ,  f o r t y f i v e , and fifty eight l i n e s w e r e f o r m e r l y c l a s s i f i e d i n these s p e c t r a , f o r a t o t a l of two h u n d r e d a n d t w e n t y eight l i n e s .  The  p r e s e n t t o t a l of c l a s s i f i e d l i n e s i s f i v e h u n d r e d a n d two i n t h e s e three spark spectra.  BIBLIOGRAPHY.  E . U. C o n d o n a n d G. H. Spectra",  Shortley, "The  ( C a m b r i d g e U.P.  T h e o r y of A t o m i c  1.935).  B. E d l e n i n J . F l u g g e Handbuch der P h y s i k , V o l . X X V I I . (1964). K.B.S. E r i e k s s o n , P h y s i c a l Review,  V o l . 102, No.  1,  102-104, A p r i l 1, (1956). K.A.. D i c k , M S c .  t h e s i s (1963).  G. E . M o o r e , A t o m i c E n e r g y L e v e l s , V o l , I I I . , C i r c u l a r of the N a t i o n a l B u r e a u of S t a n d a r d s 467 ( U . S . G o v e r n m e n t P r i n t i n g Office, Washington, R.  1958).  T o u s e y , A p p l i e d O p t i c s 1, 679 ( 1962).  R.C.  G i b b s , abd.H.E. White, P r o c . Nat. A c a d . S c i .  14,  345,  559 (1928). Y.N.  Joshi, Ph.D.  R.E.  H o n i g , V a p o r P r e s s u r e D a t a f o r T h e s o l i d and  Elements.  t h e s i s (1964).  (R.C.A. Review,  V o l . X X I I I , No. 4,  December  1962). R. L . K e l l y .  Vacuum Ultraviolet E m i s s i o n  Liquid  Lines.  TABLE  XIII.  THE  TINE  LINE  LIST  FROM 3 5 0 A  TO  9000A  WN=WAVE- NUMBER IN VACUUM IF W A V E L E N G T H I S L E S S THAN 2 0 0 0 A W L = W A V E - LENGTH IN VACUUM W L = W A V E - L E N G T H IN A I R I F W A V E L E N G T H I S B I G G E R THAN 2 0 0 0 A I 1 = L I N E I N T E N S I T Y OF E X P O S U R E 1 I 2 = L I N E I N T E N S I T Y OF E X P O S U R E 2 I 3 = L I N E I N T E N S I T Y OF E X P O S U R E 3 I 4 = L I N E I N T E N S I T Y ON S P A R K I N H E L I U M P L A T E S EX=EXCITATION ESTIMATION A C C O R D I N G TO P O L E E F F E C T S ON S P A R K S =SHENSTONE S U N P U B L I S H E D D A T A ( 1 9 5 8 ) ( 1 0 ) WN 2 8 1 5.9 1 . 8 278509.9 277012. 1 275508 . 1 275311.8 273978.6 269000.8 268419.6 267489.0 265455.5 265230.6 259870. 1 257042 .4 256398.0 255134.9 254903.8 252317.2 250923.7 249650.1 249518.0 248748.5 248365.6 248082.3 247660.6 247402.4 246144.1 245419.9 244446.2  WL 355.124 359.054 360.995 362.966 363.225 36 4.992 371.746 372.551 373.847 376.711 377.030 384.808 389.041 390 . 0 1 9 391.950 392.305 386.327 398.528 400.561 400.773 402.012 402.632 403.092 403.778 404.200 406.266 407.465 409.088  I1 610 690 587 718  692 746 683 730 776 696  12  766 737  519 676  783  697  755 638  712  737 674  13 316 708 263 696 748 752 720 393 500 807 851 482 885 899 529 773 907 909 518 909 823 903 368 904 903 869 485 350  14  EX V  4DQ5P  | i  IN  HELIUM  CLASSIFICATION 3D1-4D10 ISO  PLATES  i ;  V  4D95P  1P1-4D10  ISO  i V  4D95P  3P1-4D10  1S.0  l 1  i i j !  ,t i i  244186.5 240869.8 239931.3 238910.9 238756.9 238609 . 3 236714.7 235776.8 . 2 3 447 2 . 7 232741.8 232534.3 232462.5 231426.8 230784.4 230415.3 230283.4 229864.7 229270.6 229109.9 228669.4 228485.1 227560. 7 226986.9 226212.0 225537.6 225389.0 224911.1 224402.2 222996.8 222655.2 222487 .3 221870.8 221314.4 221135.0 220789.0 220613.1 2 19127.0 218832.2 218154.3 217969.4 217622.9 217135.5  409.523 4 1 5 . 162 416.786 418.566 418.836 419.095 422.449 4 2 4 . 130 426.489 429.661 430.044 4 3 0 . 177 4 3 2 . 102 433.305 433.999 434.247 435.039 4 3 6 . 166 436.472 4 3 7 . 312 437.665. 439.443 440.554 442.063 443.385 443.677 444.620 445.604 448.437 449.125 449.464 4 5 0 . 713 451.846 452.212 45 2 . 921 ' 45 3 . 2 8 2 456.356 456.971 458.391 458.780 4 5 9 . 511 460.542  566 706  5 17 703  700 679 75 1 737 827 810 384 307  744 765  639 845 778  736 722 709 653  695  598 619 798 609 426  802 816 8 10 811 779 488  827 463  756  852 823 8 44 778 708  798 767  732 782 785 843 224  946' 829 756  8 14 8 13  281 350 941 853 829 887 422 677 921 374 268 272 282 907 800 843 646 914 843 683 648 789 733 258 928 932 935 394 933 ' 83 1 782 927 799 640 889 796 738 911 941 937 242 879  IV  5S  V V  4D96P 4D96P  1P1-4D95S 3P0-4D95S  3D1 3D1  V  4D96P  1P1-4D95S  1D2  V  4D96P  3P1-4D95S  3D2  2S1/2-4D95S(3D)5P  4P3/2  • -  V  4D96P  3P2-4D95S  3D3  C.1 U l  1-  r-o  (XI  a  Q on  co  to tn  LO  o Q  ON  Q  4"  4-  I  I  CM Q_  rH  Q. CO  oo  a.  a vO  o> Q  o Q  4-  >  ro r- vO ON r- o r- rCO CO co CO  o o O •£> co 00 vO O CO <t 00 OO CM 00 CM i n CO ON ON ON ON ON CO co rr~NO  00 CM rH CO  CM  CO CO  •4- CM  00  r H oo rNO CM CO NO 4" ON  i—I  Lf\  CO  rH 4" H H LT\ -4  r- r-* o  LT\ CM vO O oo CM r- m  co r- 00 vO  r- co -4 o CM I-CO ( M M C l r-— o  r-- O oo r- ro o> m vO v O v O  -H -4 4- m NO \D NO v O <t 4" <t- 4-  NO v O <f -4  <)" CO IT. ON  LO  -o 4-4"  r  CO 00 NO  co  ON  4" CM CO r~- oo vo CM CM vO CM i—I -4 4" in vO r H ' OO r- -4 r H CO in <t rM o LO in 4- 4" 4" 4" 4" ON r- CO  C\J LA  i—i i—i •—I i—l r H CM CM CM CM CM CM  CO 00  00  CM CM  CM  rM rM i—I i—I  NO CO  ON rH  NO  ON sO CM NO <f 00 -4 ON 4" r- 00 4- in co in co vO o m ON O r H CM 00 CO -4 4m m m vO v O h H NO r— r- r- r- r- r- r- r- r- r~- r- I r— CO -4 4" <r -4 -4 -4 4- <f 4" 4 - 4 - 4 - <f- 4" -4  r  00 CO o NO ON  co oo r~ O P ~ H i n N r~ CM  CO CM CM rH  i—i  rH rH  i—1 CM CM  CM  o  NO HsKt  o CO CO ON NO 00 ON o r- m 4- 00 •—I ON o o oo o ON rH rH rH o CM CM CM CM rM CM  NO rH rH CO 00  I co in oo CO 4"  ON ON O  O- ON  ON  4" OO CM r H 4" CO  ON ON  r-  ON  o  00  rH NO ON  o  CM CM  CM  ON  CO  r- in co CO  00  CM CO CO  vO CO CO  CO  O CO N0 N0 r- NO r- CM m o 4- O co 4" oo i n N o in 4 >0 O NO CO P- in r- ON 4" O m oo o co 4- r N O  -4 ON O t~-CM COCM  co CM 00 LTN <J- ON 4" oo <t O  CM CO  NO  NO 00 CO CM CO CM CM CO 4- oo m 4"  <-H  oo CM 4- co  r- r—  CO  rH ON CM 00 CM p- r- r- CM m r- ON ON LO O ON CO NO r- O CO O 00 CO CO  ^ >o <f- -4 <t-  vO  r-  4 H CO <r  oo in oo 4" vO CI o 00 CM  r- r - in co ON o  NO  co oo rr-- oo r-  oo oo in r-00 CO r- r- NO  NO  rH  00 CM H v C - t m i n \0 ON <f OO CM r H 00 OO I 00 CO 00 r H oo r- 4" or-, vO O ON co co CO CO ON vO VO ON ON ON 00 r-  i—I  CM  00 CO  rH NO  CO  co <f in in m t— r— co oo O O r H 00 CO oo oo oo oo oo co ON ON ON ON  00 CO 00  <fst<f  4-4-4-  r- ro \D '—I CM  -4  NO O  4-4- 4 - 4 - 4 -  CM  NO  4-4-4-  oo oo co (o m  I i—I CO r- rH CO rH m oo ON 00 ON 4 - 4 CO 4" r H rH CM 4" in oo co 00 0O ON ON O m CM r- N0 <f r H ON. CO 00 r H r- m ON CO r- r~ NO NO N0 N0 in in m in 4 4 00 CO  o  o  CM CM  o o  o  o o  o oo  o oO O O  m 0  00 NO  00  CM CM CM CM CM CM CM CM CM CM CM CM CM  E  co r~-  4"  s 9  201741.4 200194.9 200032.5 199865.9 199518.3 198982.7 197850.9 197 586.7 196681.7 196590.0 196479.2 196241.9 196118.7 196056.1 195789.2 195498.8 195376.6 195024.4 194613.8 .194363. 3 193982 . 6 19 3 9 3 4.4 192561.2 192474.3 191292.6 190597.4 190139.0 189383. 1 188889. 5 188809.6 188766.0 188728.1 188560.2 188268.2 187831 . 0 187735.6 187414.0 187363.8 187043.7 186815. 1 186714.0 186446.9  495.684 499.513 499.919 500.335 501.207 502.556 505.431 506.107 508.436 508.673 508.960 509.575 509.895 5.10.058 510.753 511.512 511.832 512.756 513.838 514.500 515.510 515.638 579.315 519.550 522.759 524.666 525.931 528.030 529.410 529.634 529.728 529. 863' 530.335 53 1.157 532.393 532.664 533.578 533.721 534.635 535.289 535.578 536.346  819 469 666 594  67 0 797 609 611  708 308 300 807  312 380 421 334 70 1 790 225 200 833 818  945 889 595 191 864 809 941 899 6 5 6. 226 628 753 860 733 878 890 899 907 438 280 840 569 846 529 380 931 879 738 945 806 324 823 295 901 885 838 898 919 836 226 921 825 ' 340 344 360 259 740 859 808 940 936 895 898 589 162 521 155 931 923 886 875  L  8  IV  5S 2S1/2-6P  2P3/2  IV IV  5P 2P1/2-8S 5S 2S1/2-6P  2S1/2 2P1/2  II I  5S2 1S0-5S7P  1P1  II I  5S2 1S0-5S7P  3P1  6 ; oi It  t  1 i i  i  i IV  5P 2P3/2-8S  2S1/2  1 I  .  i  1 < i i  1. ' 1  •  | i 1  z  C[ o 1 j 1  S  186309.8 185591.2 184918.6 184201.3 184081.5 184016.0 183920.7 183096.2 182766.5 182668.8 182545.5 182225.9 182145.3 182020.8 181916.7 181653.9 181206.8 180682.6 180417.1 179586.2 178649.1 178495.9 178433.5 178065.1 177770.6 177104.8 176904.9 176829.8 176386.3 176297.0 176231.0 175989.5 175847.7 175747.8 175591.9 175269.0 • 174991.2 174824.0 17468 1. 5 1 74617'. 5 174508.9 174411.5  536.740 538.819 540.778 542.884 543.238 543.431 543.712 546.161 547.146 547.439 547.809 548.769 549.012 549.388 549.566 550.497 551.856 553.457 554.271 556.836 559.756 560.237 560.433 561.592 562.523 564.638 565.275 565.516 566.737 567.225 567.437 568.216 568.674 568.997 569.502 570.552 571.457 572.004 572.470 572.680 573.037 573.357  728  860 805  803  911  340 210  761  797 764 764  431 873  887 895 636 518 683 914 911  906 876 868 728  908 855 945 908 784 728 907 908 909 907 836 907 909 445 310 913 909 814 885 801 833 453 371 960 836 380 955 949 949 951 968 956 955 951 933 951 927 932 959 953 954 800  1 ,  ,  .  ,  ,  r  ^  ! !  1  1  1 1  I 1 1  I  •••  -f  174187.5 174015.9 173810.5 173391 .9 173356.2 173288.2 172979.5 172832.5 172453.1 171715.0 171401.0 171300.5 171198.4 170868.0 170814.8 170754.4 167558.3 166910.3 166573.2 166344.3 166261. 1 165963.5 165877.9 165523.0 165234.9 165173.4 164739.8 164694.8 164579.5 164314.8 164132.6 163924.5 163734.7 163521.0 162725.7 161545.0 160763.0 160710.2 160330.8 160282. 1 160217.3 1599 10.8  574.094 574.660 575.339 576.731 576.847 577.073 578.103 578.595 579.868 582.157 583.427 583.770 584.118 585.247 585.429 585.636 596.807 599. 124 600.337 601.163 601.464 602.542 602.853 604.145 605. 199 605.424 607.018 607.184 607.609 608.588 609.264 610.037 610.744 611.542 614.531 619.023 622.034 622.238 623.710 623.900 624. 152 625.349  382  740 869 843 394 72 7 82 1 705 768  775 72 7 685 863 841 848 790 833 377 666 848 763 450  937 22 1 955 911 902 881 876 923 918 906 923 557. 245 796 820 897 • 916 924 888 941 801 897 933 950 758 858 917 947 858 906 952 830 789 318 898 757 831 804 915 955 •763 715 930 918 883 941 180 162 764 302 738 650 919 935 935 633 456 207 181 952 524  I I I  5S5P  3P0-5P6P  3D1  I I I  5S5P  3P1-5P6P  3P2  I I I  5S5P 3P1-5P6P  3P1  *  I I I  IV  5S5P S  I I I  3P0-5S9S 3S1  5P 2P1/2-6D 2D3/2  5S5P 3P1-5S9S  3S1  IV  I I I IV  S S  5S2 1S0-5S5P 1P1 5P 2P3/2-7S 2S1/2.  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