26 L. VEGARD. M.-N. Kl. 



f. On the Origin of the other Principal /> -lines. 



§ lo. 



In Paper I.. I gave an explanation of the other /.-lines, which — 

 with the exception of the /-spectrum — can be followed on the present 

 assumption of recombination between primaries. 



I accordance with Sommerfeld we assumed ihat L^^ and Lß were 

 the two components of a doublet, and the fact that the difference of 

 frequency between the two doublets was the same as that between the 

 frequencies of the absorption adges, we concluded that in the normal 

 atom the L-system could exists in two states, one circular giving, by 

 the recombination process, L^,. and one elliptic giving Lß. 



We were thus lead to the assumption of one fixed elliptic state for 

 systems of electrons. This as we stated involved a kind of mutual con- 

 nection between the electrons belonging to the same ringsystem; because 

 we had to assume that all of them were thrown-simoultaneansly in to 

 the elliptic state where each electron followed an elleptic orbit of definite 

 shape magnetude and position. We may e. g. imagine that the elliptic 

 axes are arranged radially and with equal angular intervals, and that 

 all electrons are in the same phase. Thus at any moment the electrons 

 will be evenly distributed on the circumference of a circle, the radius of 

 which undergoes periodic changes as time passes. 



Now we may expect the next doublet L,, L^ (Siegbahn ß^ Yi) to be 

 produced by recombination from the ring with quantnumber 4 to the 

 circular and elliptic state of the /-system. Just as in the case of the 

 Ä'-line we have. 



«li., Xif L„ ' \i>',M. 



and for recombination to the elliptic state 



In the table XIV are criven the calculated values of 



^-■)t.' l^'')-..; 



and the observed values of ( ^ 



The frequency of M^ is calculated from the combination 7-5 = 8, 74 = 7 

 both with quantnumber 3, and 75 = 10 (quantnumber 4). 



