336 Mr. Gr. U. Yule on the Passage of Oscillator 



portional to E where 



E =(1+x )gT Il =(l +X ){ r AL i + I ^} 



-n +*a f A i+ A 2-(h\ + i>iK) \ 



And from (6), 



__ ( b^ + b^-rejA.+A,) -) 



But by the relations (4), 



i-C&i+z*) +&iV=i-*'(*+x) +*x (^-^ 2 ), 



bjfi—relbi + b 2 ) + rV= — £%d 2 , 

 whence 



— £<M = & 2 A, 4- b x k^—red I 0? 

 or 



ftjAi + MiaxO (7) 



Thus, finally, 



and 



Eo=(l+%)x^> 

 E (l-«x) d 



E - i_ r («+ x ) +a (^-d 2 ) (8) 



E 



™-is an ordinate of the experimental curve. <^ and r are 





 ordinates of our calculated transmission and reflexion curves. 



E 



If then we determine s- , d, and r for the different thick- 



nesses of the electrolyte, we shall have by substituting their 

 values in (8) a pair of simultaneous equations for the deter- 

 mination of e and %. 



This process only led to impossibilities for all values of 

 /3J/3 2 and the log. dec. of the wave-train that were tried. 

 Either e% became greater than unity or negative, or e + % 

 became negative. 



It may be noted that this correction did not work very 

 successfully in Dr. Barton's case either. His method of 

 applying it was, however, different : having formed an ex- 

 perimental estimate of the rate of decrease of the total energy 



