and the Constitution of the Atom. 265 



form, because there is no electronic system between the 

 secondary circle and the broken ring. 



It' we would assume two M-rings we can, just as in the 

 case of recombination between primaries, explain M« by 

 means of combinations such as #3 = 8, g i =7. 



The second (ft) Lines of each Series. 



§ 12. In the case of the second lines (/3) the modified 

 hypothesis of recombination from secondaries will give 

 frequencies whicb are not very different from those we 

 deduced on the assumption of recombination between primary 

 systems : but they are essentially different from the frequen- 

 cies we might deduce for these lines from the hypothesis of 

 recombination from secondaries in its original form (Debye's 

 hypothesis). 



K/3. 



In the case of K^ we put in equation (25) 



2=1, k=3, ^1 = 1, n 2 = 2, ra 3 =3, <?i = 3, £ 2 = 7. 



In fact the quantities B and C are already given in 

 Table XII. corresponding to ^3 = 1, and we get the fol- 

 lowing equation for the frequency : 



^=|N 2 -3-962N + 8-7 + e. 



In Table XVI. are given the observed and calculated 

 values of ( p ) and A for some atomic numbers. 



Table XVI. 



N. 



("/B)obs. 



('VR)eaU 



D. 



P. 



^obs. 



cal. 



11 





72-7 









- 34-8 



12 



96-2 



89-4 



- 6-8 



— 77 



- 31-8 



- 38-6 



15 



156-9 



149-7 



- 7-3 



-4-9 



- 431 



- 50-3 



20 



295-8 



286-6 



- 9-2 



-3-2 



- 59 8 



- 69-0 



25 



4791 



469-2 



- 9-9 



-2-1 



— 765 



- 86-4 



30 



704-2 



698-4 



- 5-8 



-0-83 



- 95-8 



-101-6 



35 



980-9 



975-3 



- 5 6 



-0-57 



-1080 



-113-6 



40 



12930 



1301-1 



+ 8-1 



4-0-62 



-1293 



-121-1 



45 



1666-0 



1677-1 



+111 



+0-66 



-1340 



-122-9 



50 



2109-0 



21050 



- 4-0 



-0-19 



-113-2 



-117-2 



55 



2589 



2588-0 



- 10 



-004 



-1000 



-1010 



GO 



3121-0 



3124-0 



+ 30 



+0-10 



- 79-0 



- 76-2 



