28 L. VEGAKD. M.-N. Kl. 



This latter hypothesis is a very legitimate one as long as there is 

 no electron system between the secondary circle ano the broken ring. 

 This is, however, not always the case, thus e. g. the production of 

 K ^ would require a secondary with quantnumber 3 recombining to the 

 first ring system. Now the radius of a circular electronic system is given 

 by the expression (Paper I. eq. 25), 



ttfj is the radius of the normal stability circle of hydrogen. As dp is 

 proportional to the square of the quant number it follews that inside a 

 secondary with quanttnumber x vill be situated all those rings for which 



n <.T 



Outside the secondary those rings must be situated for which 



n > r 



With regard to the primary rings for which n =t, we may assume that 

 they are situated outside the secondary. This assumption is in agree- 

 ment with equation (24a). 



If Uj^ is the quantnumber which is equal to r, ihe radius of the 

 primary is found from (24 a) by replacing j)^ with p}^ — i, and that of 

 the secondary a^ will be: 



pi^ being the same in (24a) and (24b) when t = », we see that in under 

 these conditions 



1 This rule holds provided the quantnumber does not decrease as we pass outwards from 

 the nucleus. It is, however, possible that the quantnumber first increases to a maxi- 

 mum and then decreases; for when p^. becomes large we may have 



4 ^ ('^,-1)^ 



< 



-^'-Pk-^%k -^—Pk — %-S^k + i 



In that case the rule holds for the inner region from the nucleus to the ring of greatest 

 quantnumber. 



