Light by [/asymmetrical Atoms and Molecules. 411 

 For the equilibrium of the system, 



2Fsin<9 = ^jjj 2 , 



F 1 



^CD 3 ' • (3) 



Hence s v CD 3 



2e o.r = X . -j ^r T ^. 



1 — (1 — p) cos^ 6 



Hence CD 3 



a ~l-(l-/3) cos 2 6' 



Similarly we may show that if 8y is the displacement 

 parallel to CD caused by a force acting in this direction, 



CD 3 

 2 ^ = Y -i-(l-0)sin*0' 



Hence CD 3 



1- (1-/3) sin 2 6' 



From these values of a, b, c we find that a the ratio, 

 expressed as a percentage, of the minimum to the maximum 

 intensity of the scattered polarized light, is for a series 

 of values of /3 and 6 given by the following table : — 



(9=90°. 0=60° or 30°. = 45°. 



<r. <r. <r. 



per cent. per cent. per cent. 



j3 = 50 19 4-5 



f3= -o 7 2-5 1 



/?= 1 



£=1-5 1-8 1 '7 



(3 = 2 4-5 3*3 2-4 



£ = 3 8-8 7-2 7 



/3 = 4 11-5 11 11 



We can apply these results to check the validity of any 

 assumed law of force between the positive charge and an 

 electron in the following way : — Suppose that when the 

 distance of the electron from the positive charge is r, the 

 attraction between them is equal to 



e 2 



where x=c/r, c being a constant. <f>(z) must possess the 



2 E 2 



