﻿Hydrogen and the Constitution of the Atom. 653 



and we see that toe energy of the magnetic system also in 

 this case would be very great compared with that of the 

 light- emitting electron in the normal state. 



Even if we take it for granted, however, that the assumption 

 of an inner magnetic system is a legitimate one, we should still 

 meet with the difficulty that, according to Dr. Stanley Allen, 

 the magnetic moment must vary considerably with the state 

 of motion of the light-emitting electron. In fact, it is 

 assumed that for the state of motion corresponding to an 



angular momentum of — the magnetic moment of the inner 



system is equal to zero, while for the stationary circles of 

 greater momentum the magnetic moment is 5 magnetons. 



Dr. Allen gives no indication as to how the passage of the 

 electron from one stationary circle to the next can increase 

 the magnetic moment from to 5 magnetons. With certain 

 modifications of Dr. Allen's assumptions we might, however, 

 in quite a formal way explain the formula of Curtis through 

 the effect of an internal magnetic field. 



We suppose the inner magnetic system to be produced by 

 circnlating electrons, and that the inner magnetic system 

 and the outer electron maintain a constant difference of 



momentum equal to 



IT 



h 



77 



putting _ hr 



^' 



2tt 



and the magnetic moment of the inner system would be 



h e 

 M ^=4^2--( T - 2 ) ==5 ( T - 2 ) magnetons, 



where c is the velocity of light*. 



Now Dr. Allen has deduced the following general formula 

 for the magnetic influence on the spectrum: 

 v 1 1 



where 



n / B,y / By 



M^ and c are giveu in electrostatic units. 



