﻿1072 Mr. R. Hargreaves on Atomic Systems 



significant in relation to the proportion of atoms with centre 

 and to the number of satellites carried. 



The above seems the natural interpretation of atomic 

 number in relation to the present scheme i but if that 

 number represented a number of ions the grouping of cases 

 would be different. 



(b) If we set op as an ideal the elimination of the gravita- 

 tional constant, so that a form m 2 2 /r may appear in gravitation 

 as compared with e 2 jr in electrical action, what value is sug- 

 gested for mass ? A flat rate of transformation to M 9 , in lieu 

 of the variable M n used above, would require yM g 2 = m 2 2 ; or 

 with 7 = 6-67 Xl0~ 8 , M^ = 3872??i 2 . With Millikan's ratio 

 of m l : m 2 this would imply M^ = 2*l«2 1 , or with the ratio 

 suggested below M^=2'13m 1 , values in close agreement 

 with the average in (a). This numerical relation seems 

 significant, but has no connexion with any special atomic 

 scheme, at any rate of an obvious character. 



(c) In dealing with the above figures a point which 



engaged my attention was the closeness of yni J 2 /m 2 2 to the 



number J(*44127), the limit of N/2n. An attempted inter- 



N [n 2 e 2 \ 

 pretation runs thus: — the coefficient in — ( ), an 



expression for internal kinetic energy, approaches in its 

 asymptotic form to equality with the coefficient in 



Tj^Wj — m 2) x / nm 2 \ a gravitational potential. The 



m 2 2 \ r J G 



equality gives m x + m 2 =\.%l§m 2 or m 1 = 1818?» 2 - Millikan 

 gives for the unit of the atomic scale (m say), e/m = 9650V; 

 which with ejm 2 — 1*767 x 10 7 x V gives m =l831m 2 . An 

 assured connexion between m x and the mass of the hydrogen 

 atom seems to be wanting to give certainty to the value of. 

 the ratio mi/m 2 . 



The above value has been used wherever in the calcula- 

 tions the ratio occurs. Possibly my first impression in 

 respect to the number was too favourable. 



§ 7. In concluding this sketch of the configuration it may 

 be pointed out, that though by the addition of a central ion 

 and satellites some variety and complexity is given, yet the 

 margin of choice is strictly limited. In this respect the con- 

 trast with a multiple point-core is noticeable. A core +10 

 can maintain any number of electrons from 1 to 20 in orbital 

 motion in one circle, with a possible residue varying from 

 + 9 to —10. The electrons may be distributed in several 

 circles with a further range of varieties. Whether this 



