806 PROCEEDINGS OF THE AMERICAN ACADEMY, 



in which C\ is related to the capacity C by the equation 



^=- 6i?F , 1 r^flc • (17) 



Likewise writing the discharge equation (15) in the form 



h = -- + nEC\, (18) 



m 



in which G'2 is related to the capacity C by the equation 



C = 



c\ 



BY 1 P«C ,^g) 



Let us now tabulate the values of C\ and C'2 obtained from the ex- 

 perimental data. These quantities which we shall call approximate 

 values of capacity are obtained by dividing the coefficients of n of the 

 equations of Table IL by the corresponding values of E, and are col- 

 lected in Table III. 



In the attempt to get a nearer approximation to the capacity in 

 terms of these coefficients C\ and C^, it should be noted that the in- 

 tegral terms of equations (17) and (19) are greater than would be ob- 

 tained by putting y^ and y^ respectively equal to zero, and are less than 

 would be obtained by setting yi and ?/2 equal to their greatest value 

 Y ; whence it may be seen from equation (17) and equation (19) 

 respectively that 



^ E ^ E 



and 



Iry^^^ RY^ ^^^^ 



^ E ^ E 



in which C is the capacity. 



It is, therefore, evident that G, the capacity of the crystal, is greater 

 than the coefficients C\ or C'l of Table III. 



In the attempt to ascertain whether or not the resistance terms 

 could influence the coefficients sufficiently to account for the large 



