﻿206 Mr. L. St. C. Broughall on Theoretical 



In this manner three equations were obtained, namely 



39e 2 l 



e 2 l 



775 + 



e 2 (r + l) 



e 2 (r — l) 



U 2 T 2s 3 T [(r + /) 2 + 5 2 ] 8 ^ [( r -Z) s + jj s ] 



3/2 



+ m(o 1 2 l + m(o 2 2 l, 



390 s / 



2 £ 2 Z 



= 77* + oTa + 



£ 2 Z 



+ 



4c 3 ~4/ 2 ^2.9 3 ^ [(r + Z) 2 + s 2 ] 3/2 ^ [( r -Z)* + iS]3/* 



+ mo^ 2 / + mcofl, . . . 

 J Z e 2 Z e 2 l 



Me 2 l 



+ 



±c z ~4Z 2 " r 2.5 3 ^ [(r + 2 + 5 2 ] 3 / 2 " r [(r-l') 2 +s 2 ] 



+ 171(0% I + 11l(0 2 l. . . 



Fig. 1. 

 Y 





l£ 



- 2l 





— »e Q 





c 5 









i\ 



\ 



\ e^ 



~ ~~~~2 



r=^ 



-~-~~J____\. 









i = ^ r 



' c i 











i 

 i 









l\^io 





i 











E 



i 











\ e 1 



>?9. J 



l\ 





*4 



e 3 

















e 2 



-z ! 



X 1 



(I.) 

 (II.) 

 (III.) 



Y 1 



Another equation can be obtained by considering the 

 forces acting on either of the inner electrons along the line 

 joining the two inner electrons. Equating the forces to 

 zero, we found that 



10e s 



4<? 2 (r + I) 



» + 



±e 2 (r-l) 



r 2 ' [ (r + I) 2 + s 2 ] 3 / 2 T [ (r - /) 2 + s 2 1 *' 2 + 4r 2 



-f- m(Oi 2 r + m(o 2 2 r, . . (IV.) 

 In the above equations, e = charge on an electron ; 



