

530 Prof. H. F. Weber's Researches on 



done, I will at once give the final result. The general solu- 

 tion is 



-o-;V|l{(1-B cos (£.,>-£> 



+ i(l-B 3 )cq S (^y^ M +...}. (U) 



Thence is found for the concentration of the boundary layer 

 at the lower electrode 



^=, 0+ ^gL{(l-B 1 >-S w + |(l-B 3 >-& 2 " + .-}, 



and for the concentration at the upper electrode 



^ -*|L{(l-B 1 >-S« + l(l-B3 )e ^« + ...}. 



Since the difference of these concentrations 



^-^||L{( 1 -B,>-S- + l a -B.).-S- + ...} 



and their sum 



z f ' + z r = 2z , 



the expression of the electromotive force E which is present 

 at the instant t between the two electrodes takes the form 



E=A(s"-*0 [1 + B(z // +z / )] 

 =A(l + 2B, )| 2 |L{(l-B^S^l (1 _B 3 >-§-- r }• (12 



After the lapse of a certain time the value of the second term 

 becomes insignificant in comparison with that of the first. 

 From that moment the following stands as the expression for 

 the electromotive force, 



E = C. e -S^ (13) 



C denoting the value of the constant 



A(l +28*0)^1,(1-8,). 



The quantity L may, without prejudice to the accuracy of the 

 experiments made according to this method, be taken very 



small, and thereby the value of the quantity -j-% k be consider- 

 ably raised. In the experiments discussed below, L amounted 

 to 0*522 centim., and for k at the temperature of the apart- 



