﻿654 Series Spectrum of Hydrogen and Constitution of Atom. 



Putting -o 4 7rV , ~. . ~> _ . 



ft Jd = and t 2 = 2, we get ±> 2 = and 



N 4 



I 



'+*(;-*)}" 



This formula is somewhat different from that found by 

 Dr. Stanley Allen, but it will equally well represent the 

 observed facts. 



For the six lines considered in Dr. Allen's paper we get: 





3. 



4. 



5. 



6. 



7. 



8. 







(l-Z) 



1/9 



1/8 



3/25 



1/9 



o/49 



3/32 



/l 2\ 



It happens that for these lines I - — -^ 1 comes out 



practically constant equal to 1/9, and we get the formula 

 v ] 1 





which has exactly the same form as the empirical formula 



found by Curtis. Using the values j =7'27 x 10 16 and 



£ = 4-78 xlO" 10 , we find B /9 = 5*9 x 10" 6 , while the corre- 

 sponding constant in Curtis' formula is equal to 6'9x 10~ 6 . 



Thus the deviation from the Balmer formula would be 

 satisfactorily explained through the magnetic influence of the 



inner core, when a constant difference of momentum of — 



IT 



is supposed to be maintained between the outer and inner 

 system. 



It may be granted that in dealing with atomic structure 

 we have a fairly great freedom for making assumptions, but 

 still I think we ought to hesitate in assuming any connexion 

 between the outer and inner system which would change the 

 magnetic moment of the latter from zero to 5 magnetons 

 when the outer electron passes from the circle correspondino - 

 to t = 2 to that for which t = 3. 



We have previously seen that the magnetic core of 5 mag- 

 netons, whether it consists of a rotating nucleus or a system 

 of electrons, would store an energy which is enormously 



