﻿372 On the Stark Effect for Strong Electric Fields. 



Consequently the third term on the right-hand side of 

 equation (2b) p. 948 should be 



where N' is now given by 



-15n 3 2 -21(n 2 -n 1 ) 2 ~6-—^ ) i -- L 

 3 v 2 iy nx + wa + rjj, j 



N(n) being still given by equation (10). In view of the 

 identity 



N(n) = (2n 1 4-^3)(6n 2 2 4-6n^ 3 + n 3 2 ) 



+ (2?2 2 + W 3 ) (6?2 X 2 + 6 WjWg + Tig 2 ) 



= 3(n x + w 2 + ?2 3 ) 3 — 3(ni 4- n 2 + w 3 )(n 2 — n x ) 2 



— « 3 2 ( w i + w 2 + w 3 ), 

 N' can be reduced to the form 



N'(n) = (n 1 + n 2 + n 3 ) 4 {17(n 1 + n 2 + w 3 ) 2 --9ri3 2 ---3(n 2 - y i 1 ) 2 } 5 



... (ii.) 



which shows in conjunction with (i.) that the remarks in 

 the paper about the symmetry of the components are not 

 affected by this correction. In order to calculate the amount 

 of shift of the middle w-component of H y we observe that 

 this component can arise from any of three possible transi- 

 tions corresponding to 



(m 3 . m 2 , wii ; n 3 . n 2 , n ± ) 



= (3, 1, 1 ; 2, 0, 0) or (1, 2, 2 ; 2, 0, 0) or (1, 2, 2 ; 0, 1, 1) 



respectively, the values of {N'(n) — tN'(/n)} corresponding 

 to these combinations being — 2'MxlO 5 , — 2*59 x 10 5 7 and 

 again — 2*59 x 10 5 respectively. And on substituting the 

 values of the universal constants in (i.) for hydrogen (E = e) 

 the following expression is obtained for the wave-length 

 shift 



\ 2 \ 2 F 2 



