1030 Dr. A. C. Urehore on 



In the preceding paper the coefficient of the r" 6 term 

 containing the factor, say P, namely 



F=b 2 -ipa 2 , ...... (26) 



was taken as zero, and this supposition was shown to be 

 quite in harmony with the previously determined shape of 

 the electron. This expression equated to zero requires that 

 the eccentricity of the oblate spheroid of the electron shall 

 exceed about '82, for, if it is less than this, the equivalent 

 ring of radius a, that is employed in part to approximate 

 to the electron, is shown to be greater than the equatorial 

 radius of the electron, which is absurd. An inspection shows 

 that the eccentricity must probably be greater than about *9, 

 and must fall between this figure and unity in order that the 

 above factor shall vanish. And, because the eccentricity 

 was determined to be *945 by another method and at an 

 earlier date, it seemed justifiable to assume it to be exactly 

 zero and examine the result. Let us now again assume, 

 first, that (26) is zero because of the shape of the electron 

 and examine the result. 



Since this quantity is a factor of both the coefficients of 

 the r~ 6 and r~ 8 terms in (17), but not of the r -10 term, (17) 

 becomes simplified as follows 



2e 2 



-atom v 



♦"(-T + 2-n?)'-"* rJ, -v}-<w 



H-atom 



on 

 H-atom 



The e-force is similar, having Z for X before the brace 

 and f Z} 32 (Z) for f x , 32 (Z) substituted within it. Using the 

 numerical values given above, namely 



1/^ = 1-12, 



&* = -6.053 x 10~ 36 (see (82) first paper), 

 5 = 1-065 x 10- 13 cm. (see (79a) first paper), (28) 

 (27) becomes 



F* =^X{Kl + 3Z 2 )-6053xl0- 3( V- 2 



H-atom rC 



H-atom -542-5(7-308Z 2 +2002Z 4 -4004Z 6 + 2431Z 8 )#V- 1 °}, 



. . . (29) 



F,= ^Z(i(-l + 3Z 2 )-6053xl0- S6 r- 2 -108-5(315 



ditto & 



-4620Z 2 + 18018Z 4 -25740Z 6 + 12155Z 8 )6V- 1 °}. (30) 



