and the Constitution of the Atom. 261 



II. 



On tlie Recombination from Secondaries. 



§ 11. In Paper I. most of our calculations were carried 

 out on the assumption that the recombining electron did 

 not come from an atomic ring-system, but from independent 

 stability circles (secondary circles). 



It was farther assumed, in accordance with Debye, that 

 the recombination towards a broken system took place as if 

 the exterior atomic rings had been removed. 



This latter hypothesis is a very legitimate one so long as 

 there is no electron-system between the secondary circle and 

 the broken ring. This is, however, not always the case, 

 thus e.g. the production of K/s would require a secondary 

 with quant-number 3 recombining to the first ring-system. 

 Now the radius of a circular electronic system is given b\ 

 the expression (Paper I. eq. 25) 



. . . (24a) 



"*-" H N-.p 4 -S, 4 ' • • • 



a s is the radius of the normal stability circle of hydrogen. 

 As a p is proportional to the square of the quant-number, it 

 follows that inside a secondary with quant-number r will be 

 situated all those primary rings for which 



n<T. 



Outside the secondary those rings must be situated for 

 which 



n>T. 



With regard to the primary rings for which n = r, we may 

 assume that they are situated outside the secondary. This 

 assumption is in agreement with equation (24 a). 



If n k is the quant-number which is equal to t, the radius 

 of the primary is found from (24 a), and that of the 

 secondary a s will be 



2 



p k being the same in (24 a) and (24 fr) when r = n, we see 

 that under these conditions 



a s <a p . 

 If there are systems between the secondary and the broken 



