and the Constitution of the Atom. 267 



Further, there may also be some uncertainty with regard 

 to the constitution of the M-system. In our calculations we 

 suppose one M-ring with 12 electrons. 



The equation of frequency is obtained from the general 

 equation (5) by putting : 



i=2, &=4, 



ft 2 =2, n 3 =3, n 4 = T=4, 

 q 2 =z7, 03 = 12, 4 =1, 



and we get 



* = An 2 -4-128 N + 25-35 -f e. 

 It lb 



^ has been calculated for various atomic numbers, and the 

 results are given in Table XVII. 





Table XVII. 





X. 



Weal. 



WobB. 



P. 



50 



289-8 



287-3 



-t-0-87 



60 



457-8 



448-0 



2-2 



70 



6650 



6440 



3-3 



80 



914-1 



874-5 



4-5 



90 



12050 



11430 



5-4 



The increase of P with increasing N indicates that perhaps 

 /3 3 and not /3 2 is to be considered as the normal /3-line of the 

 L-series. 



The considerations in § 10 with regard to the formation of 

 doublets (a a j) (AA) also apply to the present hypothesis. 



Recombination from Secondaries and KosseVs Relations. 



§ 13. On the assumption of recombination between 

 primaries Kossel's relations were identically fulfilled. This 

 is, however, not the case when we assume recombination 

 from secondaries. From the general equation of frequency 

 (25) we easily deduce the formula : 



=Y{n J , Pj -l,q j )-Y{'nj,p jr q j -l)-Y(n J9 pj--l J 1) . (26a) 

 or (approximately) 



,Z = l/n/[ ? ,(N- A + l-S^ 



-fe-l)(N-ft-S ?rl y-(N-p ; + l)*]. 



