H. xx.] ELECTRIC THEORY OF MATTER 189 



the angular velocity and of the number of corpuscles 

 in the ring, as well as of other constants. 



(Thus, for instance according to the paper men- 

 tioned near the end of last chapter the frequencies 

 of emission possible to two rotating corpuscles- 

 each of mass m and charge e, rotating with angular 

 velocity inside a spherical mass of positive charge 

 Ne and radius b will be the following six values, 

 corresponding to their six degrees of freedom : 



0, w t c, c-w, o + w, ,/(3c 2 + 2 ), 

 where we have written Ne 2 //cmfr 3 as c 2 . 



The frequencies c and o> belong to vibrations 

 perpendicular to the plane of the orbit : the others 

 are in that plane. 



It may be noted that on the hypothesis of uniform 

 distribution of positive electricity of density p 

 throughout the sphere, the meaning of Ne/6 3 is f irp ; 

 and that c 2 is the ratio of this quantity to the electro- 

 chemical equivalent of an electron, in electrostatic 

 measure. The numerical value of c/J'N is approxi- 

 mately 10 16 , so that c corresponds to high ultra-violet 

 radiation. 



For three corpuscles there should be nine degrees 

 of freedom : six in the plane, and three perpendicular 

 thereto. The corresponding frequencies are 



0, 0), C, -C, V^ + o, 2 ), 0) + ^{^(SC 2 -O) 2 )}. 



When there is no rotation, in each of the two cases 

 considered, three of the frequencies become equal, 

 and two vanish.) 



Ordinarily, however, the constitutional radiation is 

 excessively weak, barely perceptible ; and it is known 

 that the radiation which emits light and produces a 

 spectrum is the result of violence and chemical clash 

 that it requires something of the nature of collision 



