590 Dr. A. C. Crehore on an Atomic Model 



A V i th a frequency o£ revolution, 2K, the linear velocity in 

 a circle is v = 4zira B K, or the radius of the ring must be 



a H = r ^ = 6'4xl0- 16 cm. . . . (84) 

 H 4ttK v j 



It is remarkable that this radius so computed falls within 

 the range of 10~ 16 cm. at all. It is, in fact, just under the 

 equatorial radius of 7'054 x 10" 16 given by (79), and may be 

 in perfect agreement with the value of the equivalent radius 

 to be obtained when the precise state oE motion and shape of 

 the nuclear charge is solved. 



IX. 



Concluding Remarks. 



Many difficulties will appear at first thought in connexion 

 with the atomic model above suggested, and to which the 

 law of gravitation and the law of equal action and reaction 

 have been connected. Some may even think that it is in 

 flagrant disregard of most of the well-known facts of obser- 

 vation. The result above obtained marks a distinct advance, 

 even if it shows no more than that the force between bodies 

 composed entirely of neutral atoms of any description is 

 always an attraction obeying the inverse square law, pro- 

 vided each atom has equal charges with and without rotation 

 or revolution. All results obtained with former electro- 

 magnetic theories have uniformly made this force at great 

 distances zero. Two of the chief of these are : 



1. The velocity of 26'5 cm./sec. is so small, as representing 

 the velocity of the ring equivalent to the hydrogen nucleus, 

 that if gravitation is connected with it, then it seems as if 

 the large velocities that electrons are known to possess in 

 many circumstances would wholly mask the gravitational 

 effect. 



The answer to this is complete, if it is admitted that the 

 forces due to the steady systematic rotations of the nuclei 

 are not reflected, refracted, or affected by their passage 

 through a volume of matter. They will then produce a 

 volume and mass effect in distinction to a surface effect. 

 These forces are already there, so to speak, and require no 

 additional time to travel, for the charges have been in rota- 

 tion for ages. The case is evidently different from a random 

 distribution of changing velocities of electrons — for example, 

 a set of linear oscillators. Such effects are likely to cancel 

 each other, having no regular system, and the residue is 

 subject to surface reflexion and absorption, and will not 



