for Ka, 



10 8 

 A, 



for La, 



10 8 



Ordinals of the Elements and High-frequency Spectra. 145 



Of these series Mr. Moseley has calculated only Ka and La 

 after formulse which we may write 



Here v is my general constant (109720 instead of 

 109675?) and N the number of the element, supposing 

 N = 13for Al. 



These numbers differ, as we see, from my ordinals with 

 2 units (Al in my system having the number 15), but the 

 order is the same from Al to Au including Co and Ni, 

 where the element of greater atomic weight precedes the 

 lower one. Only the element designated as Ho, which 

 according to Moseley has the number 66, corresponding to 

 my ordinal 68, must, according to my system, be 

 Dysprosium*. 



In my calculation of the different series I have, in close 

 agreement with Mr. Moseley, made use of the general 

 formula 



10 8 



~ =^ = 109675. a 2 (N-C) 2 , 



or _ T „ N / 10 8 



a(N-0) =/X / 



109675 X 



where we from the observations directly obtain the value of 

 the right member r. 



In the left member we know that N varies by one unit 

 from one element to the next, and without making any 

 assumption regarding the true absolute values of N, we can 

 always write for two elements of a series 



a(N 1 -C) = r 1 

 a(N 2 -C) = r 2 , 



where r u r 2 and the integer difference N 2 -N x are known 

 for all lines. 



* In the abstract of his second paper, which Mr. Moseley has been so 

 kind as to send me, I find that he has himself made the* same remark 

 and corrected Ho to Dy. 



Phil. Mag. S. 6. Vol. 28. No. 163. July 1914. L 



