﻿142 



On the Series Spectrum of Hydrogen. 



The applicability of this formula might be tested by 

 finding values of the constants N and B which would 

 yield the closest fit for the wave-numbers observed. It 

 seemed preferable, however, to assume that B could be 

 calculated from formula (4) involving M the magnetic 

 moment of the core on the supposition that this contained 

 an integral number of magnetons. The magnetic moment 

 of the magneton was taken as l'854xl0" 21 E.M.U. or 

 0-618 x lO" 31 E.S.U. It was found that the best results were 

 obtained by taking either 5 magnetons (B = 5*24x 10 ~ 5 ) or 

 6 magnetons (B = 6*29x 10~ 5 ) in the core. The results can 

 be tested by seeing whether constant values are obtained 

 for N when the observed values of n are substituted in 

 formula (5). The values of N calculated on the various 

 assumptions are collected together in Tables I. and II. 



Table I. 

 Values of N (Balmer's Law). 



Line. 



Til . 



n (observed). 



N. 



p.e. 



a 



3 



15,233-281 



109,679-62 



±0-03 



P 



4 



* 20.564-880 



■36 



±0-02 



y 



5 



23.032-644 



•26 



±0-02 







6 



24,373-165 



•24 



±0-03 



6 



7 



25,181-458 



•24 



±0-04 



I 



8 



25,706-075 



•25 



+ 0-03 



1 



Table II. 

 Values of N (suggested Laws). 



Line. 



m. 



Curtis. 

 M =0-0 5 69. 



Allen. 

 M— 6 magnetons. 



Allen. 

 M = 5 magnetons. 



a 



3 



109,679-23 



109,679-22 



109,679-29 



P 



4 



•23 



•29 



•30 



7 



5 



•20 



•24 



•24 



c 



6 



•22 



•24 



•25 



6 



7 



•23 



•25 



•25 



' 



8 



•24 



•25 



•25 



Meai 



i 



•225 



•25 



•26 



