﻿1076 



Mr. R. Hargreaves on Atomic Systems 



The first equation is the condition for equilibrium of the 

 axial ions, the second that for the equilibrium of electrons 

 in the ring (//, correction neglected), and the third gives 

 the characteristic number on which the angular velocity 

 depends. 



§ 10. The position as regards a possible ambiguity in the 

 solution for x may be explained in connexion with the graph 

 (fig. 3) of fix) here drawn for w = 6. The curve is typical 







Fig. 3. 



7 



— I \ i 

 / I / 



"--^ 



6 



- 1 * 





5 







4 



VI 





3 



l\ 





2 



1 \ 



s \ 



' \ 



1 \ 





I 



- f \ 



B \ 

 1 \ 









«*> K . rf» ^^w. 



1 





i i _ 



I 2 3 



Graphs of/(.r) and / (-) , the latter dotted, for n — Q. 



of cases from n = 4 upwards ; for n = 2 or 3 the curve lies 

 above the asymptote. The graph shows a minimum value 

 n tor # = 0, followed by a maximum and a rapid descent to a 

 minimum of small negative value, from which it rises to the 

 asymptotic zero value. 



