and the Constitution of the Atom. 



255 



these formulae, for, as we have seen previously, the following 

 relation is identically fulfilled : 



(sI-(b).. + «1-<SX/(S), + "- + "- (2 " 



Here only 1^1 will change with #3, and (^j is easily 

 found from the results for K a and L a . 



Values of ( p j found in this way are given in Table XI. 







Table XI. 













? s =12. 







? 3 =8. 





N. 



(WRUs. 



("Weal. »■ 



'—s 



p. 



W^eal. 



D. 



P. 



20 



295-8 



287-9 - 7-9 



-2-7 



2863 



-9-5 



-3-2 



30 



704-2 



702-2 - 2-2 



-0-31 



696-6 



-7-6 



-11 



40 



1293 



1305-5 +12-5 



+ 1-0 



1297-8 



+4-8 



+0-37 



50 



2109 



2109-7 4- 0-7 



+0-03 



2099-9 



-91 



-0-43 



60 



3121 



3129 + 8-0 



+0-26 



3117-1 



-39 



-0-13 



It appears from the table that both values of g B give 

 a very close agreement with observations, and from the 

 mere numerical comparison here given it would be difficult 

 to decide in favour of either of the (.wo possibilities. 



There is, however, one circumstance in connexion with the 

 production of Kp which might be of great value as a test of 

 the correctness of the various hypotheses, which might come 

 into consideration with respect to the emission process and 

 the number of electrons in the third ring. 



Observations show that K/3 always accompanies K a 

 (perhaps with the exception of N==ll, for which no K^-line 

 is given in the table of Siegbahn). 



If, now, the homogeneous X-radiation is produced in the 

 way here considered, by recombination between primary 

 rings, it follows that for lower atomic numbers the re- 

 combining electron must come from the surface ring; bat 

 the number of electrons in this ring will diminish as we pass 

 towards lower values of N. For N = 12 there will be 

 2 electrons in the third ring, for N = 13 #3=3, a. s. o. If 

 we assume 8 electrons in the third ring, q% will keep on 

 increasing until the element Ar (N = 18) ; if we put ^3 = 12, 

 for the final M-ring, qz will keep on increasing till the 

 element Ti (N = 22). 



T 2 



