based upon Electromagnetic Theory. 589 



Assuming that this is deformed into the shape of an oblate 

 spheroid having the ratio of the axes as determined in (77) 

 by the rotation, then the semi-major axis of the ellipse is 



a = 7-054 xlO" 1 * cm., 



and semi-minor axis 6 = 2*307 x 10" 16 cm (?9) 



The reasoning above given applies with equal force to the 

 shape of the negative electron, which may be regarded as an 

 oblate spheroid of charge equivalent to the volume of a sphere 

 of radius 



r = 2-244xl0- l3 cm., . . . (78a) 



semi-major axis a = 3*257x 10" 13 cm., 



and semi-minor axis /; = 1'C65 x 10~ 13 cm. . . . (79a) 



VIII. 



The Magnitude of the Gravitational Attraction. 



At the end of section V. the comparison of the magnitudes 

 of the forces as computed from equation (65), theoretical, 

 and from Newton's law (67) was deferred to this section in 

 order that the data of the model of the atom might be pre- 

 sented. The comparison will really consist in equating the 

 two forces and finding the radius of the ring that is equiva- 

 lent to the positive nucleus on the assumption that it rotates 

 with a frequency, 2K, twice the Rydberg constant, and then 

 comparing this radius with the values determined by inde- 

 pendent means in (79). For two hydrogen atoms at great 

 distance oriented in the average position, equation (65) 

 becomes 



F = £/3 4 (30) 



And Newton's law becomes 



F = &'m H 2 r- 2 (81) 



Equating these two expressions and solving for j8, the speed 

 of the equivalent ring in terms of the velocity of light, we 

 find 



^ = Uk'm^\\e\ or £ 2 = i(3M0*™ s =0*778 x 10~ 1S . (82) 

 Whence /3 = 0'882 x 10" 9 , or u=£c=26-5 cm./sec. (83) 



