﻿Mr. A. Bramley on Radiation, 



723 



H. 



au _iau s 



bz r '-dd 

 P Mi 



13 Mi 

 VI- jS 2 ' 3:~ 







M 



1 _^]U 



V1-/3 2 



Now for the contractile electron the potential fa is 

 symmetrical in the distorted space of the fixed system and 



equal to -: where i\ is the distance from the centre of 



the sphere in this system. 



Pfxyz) 



Let Y(xyz) be a point in space in the XY plane, r the 

 projection of r x on that plane, and 1 the angle POE where 

 E is the position of the electron whose orbital radius is R. 



Then we have 



or 



Therefore 

 which gives 



v 2 _ ,, 2,-2. 

 r 2— r 2_^2 



'0 ' I * J 



r f '==»*+ B" -■ 2rR cos 0!, 



r 1 2 =r 2 + R 2 + c 2 -2^Rcos6' 1 . 



n = (r 2 + R 2 + c 2 - 2 rR cos OJV*, 



*l = €t- 



Whence we have 



d$i — * _<?_ 



cte ~~ (r» + R 2 - 2rR cos a -f *»)W ' 4tt ' 

 d$i _ — r + Rcos^j <? 



^ ~ ( r * + R 2 - 2rR cos 6 X + s 2 ) 8 <* * 4tt ' 

 d$i _ — ?'R sin #, e 



~bd\ = (r 2 + R 2 — 2rR cos 6, + c 2 ) 3 '' 3 * 4tt ' 



3 A 2 



