﻿670 Mr. G. EL Livens on the Electron 



so that _ n 



S7rSe 2 ql m /q* { ^e^du 



and 



CL= 



£ ^i 



STrXe'-qlip /q 3 C u *e-<*'du 



1 + 



which appear to be the most generally applicable results 

 which it is possible to determine from the present form of 

 theory. 



It must be noticed that Cj is the ordinary expression for 

 the conductivity and can be written in the more usual form, 

 if we use 



v = qu 2 , 



_ 9 / 2_ ^e 2 l m p ve - v dv 



V 37r mu m ) 1 p 2 l m 2 

 Jo 1+ — 



o, 



9. Ihe emission of light by the metal and the complete 

 radiation formula. — The emission of light by the metal as a 

 result of the electronic motions taking place in its interior 

 has been fully discussed by Lorentz and subsequently by 

 Thomson, Jeans, Wilson, and others. Under the funda- 

 mental assumptions on which the present theory is based, it 

 is found that tbe emissivity of a thin plate of any metal of 

 small thickness A and for light of period p is 



™p 4 /" i"» w—dv 



24 c 4 



q r™ VP v dv 



the notation being exactly the same as in the present paper. 

 The coefficient of absorption for such a thin plate is shown 



by Lorentz to be equal to -, where a denotes the con- 



c 



ductivity, so that it is 



47rNe 2 / m A fq 6 r<» ve~ v dv 



A' = 



/q d rco ve~ v dv 



2„> 



