55 



slates is of an especially simple character. Thus in the state [002] the orbit of the 

 electron is circular and perpendicular to the direction of the field, and the motion 

 contains only the frequency co.^, while in the states [101] and [Oil] the motion contains 

 only the frequencies rwp z — Ito^ -\- w.^ and no.^, r — 1 w., -|- w., respectively. As a conse- 

 quence of this there exists for each of the lines considered in the tables only one paral- 

 lel component and one perpendicular component on each side of the undisplaced line 

 for which the values of R'" and R" - are both different from zero, while moreover 

 there appears in Ha at the place of the undisplaced line a perpendicular compo- 

 nent, corresponding to a transition between two circular orbits (003 002), for 

 which and - have the maximum value 1. Just these components are 

 seen generally to be the strongest in the observations on the Stark 

 effect. From this we may conclude that, when estimating the intensities by the 

 present method, the amplitudes in the final states play a part no less important than 

 those in the initial states, in agreement with what beforehand might be expected from 

 the principles on which this method is based. Considering further the other compo- 

 nents for which R" is equal to zero, it will be seen from the tables that the values 

 of R' ' give in general a good picture of the observed intensities of these compo- 

 nents. For instance for any two components of the same polarisation of a given line 

 the component of larger intensity corresponds generally to that for which R' - has 

 the larger value. In order to facilitate a comparison between the theory and the 

 experiments we have in fig. 1, 2, 3 on Plate I and fig. 4 on Plate II represented 

 schematically the estimate for the theoretical intensities, in such a way that the 

 lengths of the lines representing the different components are taken proportional to 

 Ihe values of R' '- ^ R" -. At the same lime we have in these figures reproduced the 

 schemes, given by Stark'), representing the result of his above mentioned leccnl 



Table I. 

 //^, 65(i-',.S A — 2). 



displ. (J = 1 ; 100 000 Volt cM) = 2.8 Å 



Transition 



J 



~i 



^2 





R- 



«■ 



l{ • 





int. ol)S. 



, 111 -> Oil 





1 











.k; 







.21 



^' 





1 



1 102 -> 002 



;] 



1 











.51 







.26 









1.1 



1 201 -> 101 



4 



1 





(> 



.02 



.57 



.:5s 



..•!3 







1 201 -V oil 



8 































[ 003 002 \ 



111 002 ; 





 





 4 







1 



1 



-1 



1.00 

 .26 



l.(K) 

 (1 



1.00 



.07 



l.(Ht 

 1) 



\ 

 / 



2,6 



102 -V 101 



1 











1 





.Ü2 



..')(■. 



.."i'.t 



1 ■ 



102 oil 



Ô 





























[ 201 002 



(\ 









.( 1.") 







.00 











') Ann. d. I'liys. XLVIII. p. 20.^) (H»!.')). 



