Electrons concerned in Metallic Conduction. 109 



and then we have 



1 C 2 

 Whence 



it 2 

 and „ 2 _ 2 STrNgy^ /^ p mV^ w 



* *-lh (l-aA)3mV?Jo U A r 



M« 



We now introduce the expression for the conductivity for 

 steady currents, viz., 



^eH m /f 



er °— 3STV^' 



which will enable us to eliminate the unknown quantity 

 l m from the above formulae. We use also s = qu 2 and 



o 7 2 9p 2 m 2 o~ 2 

 and then we get, finally, that 



^ 2p(l-aA)J 5 + a - 



2 _ o_ 8 &y/irmo' i r°° s^ 2 e~*ds 

 » K -*"'- 4N«»(l-oA)J ~J^~ ' 

 or using 27rr 



~ 1— a A 1 s + a 



o_ T s'e • 

 aAj o * + ( 



„a _ >2 _ „ 2 _ 3 x Arwoy f" s 2 <r*,fc 

 ^ ^ 4N* 2 (1-«A)J ~T+^~' 



It is perhaps necessary to remember that theHertz-Heavisido 

 system of units is adopted here as in all my previous work. 



If the application is to light in the visible part of the 

 spectrum where the wave-length is not too long the constant 

 a is large, and we may with good approximation expand 



