﻿of the Electron Theory of Matter, 627 



between u and u + du 



r*Trj2 H2-K n °° 



du . 2Am:« e^* WMS I I I sin cos Ev{€ l (»0)F l (v0) 



Jo Jo Jo 



+ € 2 (v0)F 2 (v0)}d0d<l>di>. . . . (68) 



The corresponding expressions for the v and iv components 

 are obtained if the factor outside the integral in (68) is 



replaced by ( — Y e" kmv2 dv in the first case and 



/ kmy h 2 7 • i t 



1 — J £ hmu "dw in the second, 



Thus the functions t /i/ 2 have to satisfy the equation 



P" ( 27V { sin^cos ^E F {6 1 (^F 1 (^)(/ 1 (^.u.».w.ife)-2JfeTOM.f-^=) 



Jo Jo Jo 



+ e 2 (^F 2 (i^)(/;(^^i/.v.i^^-2^7i^e-^' 2 )}^^^ = 0. (69) 

 The corresponding equations for #j # 2 and /^ h 2 are obtained 

 if/1/2 and 2 &?nw g^*!"" 8 are changed to g l g. 2 and ( --) e ~ kr)W% 

 in the first case, and to /ij A 2 and / — X e -kmw* [ n the second. 



These equations are true for all values of w, v, w, and A:. 



The obvious solutions f==f== 2 kmii e~ kmu2 iind so on do not 

 accord with the experimental evidence, but there is no reason 

 why they should be the only solutions. 



It is perhaps necessary to point out that these deductions 

 about photoelectric action are only valid for such phenomena 

 as would go on indefinitely in an isolated enclosure. It is 

 necessary, either that photoelectric fatigue should approach 

 a limit, or that it should be due to other causes than the 

 mere action of the light on the material. The experimental 

 evidence seems to favour the latter hypothesis. 



It will be noticed that the preceding conclusions about 

 contact electromotive force and thermoelectric phenomena 

 remain unaltered when the effects arising from sethereal 

 radiation and photoelectric action are included. The dif- 

 ficulties introduced by the presence of the eethereal radiation 

 may be avoided by carrying out the operations by using 

 transparent pistons working in chambers lined with the same 

 ideal transparent material, 



Palmer Physical Laboratory, 

 Princeton, N.J. 



.) rn o 



