284 Mr. G. H. Livens : Influence of Density on Position 



single line splits np into the ordinary symmetrical triplet 

 with the separate lines in positions given by 



P__Wi » ap 1 leB. 



* 2n ' *~ 2n ± 2cm' 



their intensities all being 5— 



2 n n' ' 



The theory thns accounts for a symmetrical Zeeman triplet 

 in the ordinary way, but shifted in the manner of the single 

 line, according to the theory at present under discussion, 

 towards the red end of the spectrum. The shift is equal to 

 that of the single line. 



The results obtained by extending this theory to even the 

 simplest case of Voigt's theory are complicated, but they 

 lead to some interesting conclusions, which justify a con- 

 sideration of them. 



Voigt's notation is adopted, and the simple case of two 

 " bound " electrons worked out. Adopting the notation 



Pi= as before, with p 2 = -^- and n'= — we get for the 



' m m m ° 



resolution in the 2-wave the two lines in positions given by 

 The maximum intensities being 



a pi _ 4 /a 2 pi 2 , 

 Pi X + V 4 + P> 



x 



2 v«v+w v 



The mean position of the two lines is always at 



and the distance between them, 



\/a 2 px 2 + 4:p 2 2 



% 



m. 



increases from I J-^\ to infinity with increasing magnetic 



field. p 2 is proportional to H. 



These results are certainly remarkable. The single line 

 is separated by the magnetic field into two lines at equal 



distances from the position ^= — --^ } but of unequal 



