254 Dr. L. Vegard on the X-Ray Spectra 



The formula (18) will give an equally good agreement as 

 the combination £3= 12, q* = S in tue case of one M-ring. 

 It might also be of interest to try the values : 



gs =8, q± = 10, q 5 = 8, 



which correspond to the number of electrons which were 

 proposed in Paper I. for the third, fourth, and fifth rings. 

 The latter combination would lead to the formula 



|=(J~)n*-2-56N + 33. . . (19; 



This formula is almost identical with the one developed in 

 Paper I. on the assumption of recombination from secondaries; 

 but in that case the L-system was supposed to consist of two 

 rings. 



It nppears from the treatment of the M a -line that quite a 

 number of assumptions with regard to the composition of 

 the ring-systems lead to a fairly good agreement with 

 observations. 



I£ we assume only one ring with quant-number 3 the 

 number of electrons in this ring comes out fairly definite 

 and equal to 12. On the assumption of two M -rings there 

 are a number of possibilities, of wdiich the one making 

 £3 = 8 is probably the best one. 



e. TJie Kp-line. 



§ 9. From the point of view here adopted, K/3 should be 

 produced by recombination from the M-ring to the K-ring. 



In the case of the M-ring we have treated two possibilities, 

 and for K^ we shall also consider the two combinations : 



q-i = 12 (only one M-ring), 

 q 3 = 8 (two M-rings). 



The frequency is found from equations (5 c) and (5 d) 

 by putting i = l, & = 3, % = 1, n 2 = 2, n z = 3, #i = 3, ^ 2 =7, 

 and #3=12 or 8, and 



(r)k =|^-S-911N + ll-0 + ^ ( ?3 =12), (20a) 



(l) K , = ^ N2 "~ 4 ' 117N+11 ' 6 + % (<?3=8) - {i0h) 

 We need not, however, calculate the frequencies from 



