Light by Unsymmetrical Atoms and Molecules. 405 



If a force Z cos qt acts at right angles to the plane of the 

 orbit, which we may suppose described under the influence 



Fiff, 3. 



of two positive charges at A and B, the plane of the orbit 

 bisecting AB at right angles, we have 



jY + ~ (1 — ■ 3 cos 2 &)z = Z cos qt, 



where 6= Z PAO in the steady orbit ; 



d 2 z 

 i.e., -j-Y + n^l — 3 cos? 6)z = Z cos qt, 



dt 



z = 



Z cos pt 



?i 2 (l-3 cos 2 d)-q 2 ' 

 1 



hence 



C = n 2 (l-3cos 2 6>)-$ 2 ' 

 Since a/D = sin 6, 



p 2 = 4— 3sin 2 = l-f3cos 2 0. 



Knowing the value of a, 6. c, we can by equation (2) on 

 p. 397 calculate the ratio of the minimum to the maximum 

 intensity of the scattered polarized light. 



Let us now take some special cases. The first is that of 

 an electron describing an orbit under the attraction of a 

 positive charge : here the charge will be in the plane of the 

 orbit, so that = 7r/2, p=l, 



a = = — -+- 



W — (f 



1 



2 4/i 2 -^ 



w — q" 

 or when q is small compared with n, 



«=*=, I (2 + i), 



