﻿Quantum^ Orbit Theory of Spectra. 351 



But surely these numbers show that the comparison is not 

 justified. As is known, a correspondence actually lies 

 between the enhanced doublets and the triplets in the 

 same element. Thus the ratios of the doublets to the first 

 separation of the triplets are given in the second line of 

 figures above, where the agreement is remarkably close. 

 In this latter case, however, the correlation is not direct. 

 It is due to three concurrent facts : (1) ratio 4N : N ; 

 (2) the oun multiples in the doublets and v\ of the triplets 

 are very nearly the same in each element ; and (3) the 

 denominators in the doublets and triplets have nearly the 

 same ratio in all (see belowj. There is, however, a close 

 correspondence between the mantissse of the doublets in the 

 two groups I. and II., especially as between the alkalies and 

 the alkaline earths, those of the latter being about double the 

 first. Correlation is also shown between" the denominators 

 of the triplet and doublet sets in all the group II. elements. 

 These statements are illustrated by the following data : — 



II. I I. 





Tripl. 



Doubl. 



Ratio. 





Doubl. 



Ratio 



Mg ... 



... 1-660 



2-265 



1-36 



Na .... 



. 2-117 



2-27 



Ca ... 



... 1-796 



2498 



1-39 



K 



. 2-235 



2-12 



Sr ... 



... 1-880 



2611 



1-39 



Kb .... 



. 2-292 



2-09 



Ba ... 



... 1-957 



2735 



1-39 



Cs .... 



. 2-361 



2-03 



Zn- ... 



... 1-599 



2-098 



1-31 • 



Cu .... 



. 1-869 





Cd ... 



... 1641 



2-144 



1-30 



Ag -. 



. 1-892 





Eu ... 



.. 1-648 



2190 



1-32 











Hs... 



.. 1-653 



? 





Au .... 



. 1-929 





Here 'under II. the third column gives the ratio of the 

 denominators ; under 1. the second column gives tlie ratio oj 

 mantissa' in JLl. to those in I. 



On the other hand, there appears very little correlation 

 between the oun multiples which give ,the separations in 

 corresponding elements of groups I. and II. A much 

 closer one is found between those of the triplets and doublets 

 of the same element in II. Thus, in the following, the first 

 line gives the ratios of the oun multiples of doublets in 

 group I. to those of the enhanced doublet of the corre- 

 sponding element in group II. The second line gives the 

 ratios of these multiples for the first triplet separation and 

 the enhanced doublet in each element. 



Mg. 



Ca. 



Sr. 



Ba. 



Za. 



Cd. 



•683 



•779 



•843 



•903 



•847 



11 



•391 



•709 



•726 



•761 



•789 



•846 



Eu. 



•842 



He-. 



