97 



381 



The second column contains the symbols (n,, /? , ; n' Hj, n;,'; n") characterising 

 the transitions which may take place between two stationary states of the atom 

 perturbed by the magnetic field. The transitions corresponding to the same fine 

 structure component which give rise to radiation ol' similar polarisation are collected 

 in brackets, the character of the polarisation being indicated by Par. or Perp. 



The third and fourth columns contain the squares of the relative amplitudes, 

 given by (42), of the vibrations of frequency {n\ — n")cu^ -r i'h — îC)oj., ^{xV — \\")0n 

 {n\— n")(u^ — {rï'^ — n' — n'^' — n")w.^-\'{n' — n")w:î occurring in the initial state and 

 in the final state of the transition under consideration respectively. These relative 

 amplitudes are calculated by means of the expressions 



R{t 1 -j- (On) 



((1 rO^.-i(r^)-(l-^')^.-.il-)J, 



1 +,«' / 



4r 



{{1 + S'),L_,{TS)-{1-S')J,^,{7S)]. 



where z' = , s = Vi — s''^ , n = , n' = " , a = V'\—u'''. 



n 11-'. «2 



The fifth and sixth columns contain the sums siR'-\ and s(R"-) of the s(|uares 

 of the relative amplitudes belonging to the transitions corresponding to a same fine 

 structure component which give rise to radiations of similar polarisation. 



The seventh and eighth columns contain the values of n'Ji"- and n[',R"-, appear- 

 ing in tables IX and X, multiplied by the factor - :;. These numbers, as mentioned 

 on page 84, afïbrd an estimate for the relative intensities of the fine structure com- 

 ponents which is directly comparable with the estimate alVorded by the numbers 

 in the fifth and sixth columns. 



When considering these tables il will in the first place be observed thai for a 

 given fine structure component the quantities s{R'') Par. and s(R') Perp., which 

 correspond to the intensity of the undisplaced parallel component and to twice the 

 intensity of one of the outer components of the Lohentz triplet respectively, are not 

 equal to each other, although, as mentioned in the above, these two intensities are the 

 same. Moreover the (juantities s(R-) Par. and s(R-) Perp. differ both from the value 

 of the ((uantity - ;/?.,/?-' appearing in the seventh and eighth columns, which corres- 

 sponds to the same intensity. From the connection with ordinary electrodynamics 

 in the region of large n's we know that for a tine structure comjjonent {n\n\, - n\n.) 

 for which the n's are large numbers these three quantities would tend to coincide, 

 but in the case of the lines considered in the tables they show considerable differences. 

 If we especially would consider the hydrogen line (2 1), which corresponds to the 

 smallest possible values for n' and n", these differences become still more marked. 

 This line will not show a line structure because in the undisturbed atom only the 



I). Iv I) Viilciisk. Sclsk. Skr., iialui-vidcMisk. 0)( iiiiilhecii. Aid., 8. Hiukkc, III. 3. 4y 



