1036 Dr. A. C. Crehore on 



The area o£ a spliere of radius r having the same volume 

 may be written 



S = 47n ,2 5 where a 2 b = r 3 . . . . (33) 



Dividing (32) by (33) the ratio of these areas is obtained as 

 a function of the eccentricity alone, 



!°=KW)-*+ ^(W)t log£±?. . . l3 4) 



Again, it may be shown that if the spheroid always main- 

 tains a volume equal to this sphere of radius r while its 

 axes a and b are changing, then 



db~ 2r 3 € [6b) 



Now differentiating (34) with respect to e and multi- 

 plying the result by (35), we find the rate of change of the 

 area of the spheroid with respect to the minor axis 



<*So_dSo de a f ^_ _3^_ / b 36* \ l+e \ 



db~ de'db \ 2b 2 ±r 2 e + \2r 2 e + 8r'VJ g 1 - e J " 



. . . (36) 



Restoring the value of S (33) and using AS for d$ and 

 Ab for db, and multiplying the change in area of the 

 spheroid by the surface tension T, (see (73) first paper), 

 namely 



T =B^> •••••• (37) 



we thus find the energy required to change the shape of the 

 spheroid by the small amount Ab as follows : 



ae= ( as .t)=i 2 m{-^- 



9b 



16r*e 2 

 j (U 2 W \ l + e\ _ 



Using numerical values 



r = 2'244xl0- 13 cm. ] 



6 = l-065xl0- 13 cm. \ . . . . (39) 



6 = 0-945, J 



AE = ~A6(-0'236xl0 26 ). . . . (40) 



ve find 



