63 



317 



slates is so small in comparison with llic value of ii in ihv iiiilial stall's, that \vc 

 cannot be astonished to lind that a simple consideration of the values of the /^-"s 

 in the stationary slates is unable to account for the finer details of the intensity 

 distribution. In a case like this we are naturally induced to try to improve the esli- 

 inate of the relative components by taking into account the values of the R's in 

 the states lying "between" the initial states and the final states (compare .i^ 5, page 48); 

 it may, however, be shown that by means of such a consideration the estimate 

 would not he essentially modified as regards the intensities of components corres- 

 ponding to transitions for which the electron in the final state describes a circular 

 orbit ' ). 



In the preceding pages we have compared the theory with the observations on 

 the Stark efiect for the first four lines of the Halmer series. Owing to the agreement 

 obtained it seems possible to predict the character of the Stark effect of other 

 hydrogen lines which have not yet been experimentally investigated, and which 

 correspond to other values of and ii" in (111). In Table V we have therefore 

 given a scheme of the values of the R- s referring lo the Stark efîect components 

 of f/g (7-H>2), and in fig. 6 on Plate II a schemalical picture of the theoretical esti- 

 mate of the intensities of these com[)onents, obtained, just as the analogous schemes 

 in fig. 1 ... 4, by taking the lengths of the lines which represent the components 

 proportional to /?'-' + /?"-. It must, however, be remarked thai we may expect, in 



') This will be seen from a consideration of the following table in which, for the parallel compo- 

 nents of H,j, we have, besides the values of R in the initial state aud in the final state, given also the 

 value R,„ which R takes in the mechanical state lying in the middle between the initial and the linal 

 state |/^. = g(n^. .l h. (k ~ 1, 2, 3) ) . The values of Rm give no indications of a tendency for the 

 component J = 12 to appear stronger than it would be expected from the values of R' only. On the 

 other hand the ratio of R,,, to R' is, for the component J = 20, much less than for the other compo- 

 nents; this may be connected with the fact, mentioned in the text, that this component appears with 







Transition 





J 



R' 1 



Rm 



1 



222 





(1. 1, 2) 



l| 



002 









1 







1 







321 





(2, 1, 1) ^ 



101 i| 



'1 



.»08 : 



i*B 







:52l 





(1.5, 1.5, 1) ^ 



Oil 





.1.27 



.023 



II 



:î12 





(1.5, 0.5, 2) 



002 



12 



.ii2() 



.017 



II 



411 





(2.5,0.5, 1) ^ 



101 



u; 



.(.IC. 



(•11 



(1 



111 





(2, 1, 1) 



Oil 



2U 



.0-15 









102 





(2, 0, 2) ^ 



002 



21 



.1)1 ;o 



■oKi 







001 





(3. 0, 1) 



101 ' 



2S 



.(!(■)(; 



.oi;:» 



.043 



501 





(2 5.0.5, 1) ^ 



Oil 



32 







of)7 







less intensity than was to be anticipated from the value of /<'. The value of H,,, for the component 

 J — ;{2, for which both /{ and R" are equal to zei o, suggests that this component w ill appear w ith :in 

 intensity of the same order of magnitude as the component J = 4. 



