Angular Momentum and Properties of Ring Electron. 113 



electron both rotates and "revolves, different lines of force 

 generally revolve at different rates when a = and there 

 may be only one line of force whose angular velocity 

 corresponds with the frequency of the light. This may, 

 however, be the particular line of force to which we have 

 just referred. To make all the lines of force revolve with 

 the same angular velocity it seems necessary to make a equal 

 to the acceleration as in Page's analysis, but then a non- 

 radiating orbit is an impossibility. 



8. According to the present theory the idea that all 

 electromagnetic fields occurring in nature can be built up 

 from the fields of electric poles travelling with velocities 

 less than c seems to be untenable ; it seems almost necessary, 

 in fact, to adopt a more general type of electromagnetic 

 field as fundamental, and it may be that the simple radiant 

 fields described by the present author will turn out to be the 

 most suitable. 



VII. The Angular Momentum and some Related Properties 

 of the Ring Electron. By H. Stanley Allen, M.A., 

 JD.Sc, University of Edinburgh * . 



The Angular Momentum of the Ring Electron. 



SHORTLY before the war the late Prof. S. B. McLaren 

 was engaged in writing on the magneton t, and it is 

 greatly to be regretted that in consequence of his death 

 on the Western front on 14 August, 1916, the applications 

 of his work to the theory of complete radiation, spectral 

 series, and the asymmetrical emission of electrons in ultra- 

 violet light were never published. Rejecting entirely the 

 idea of magnetic or electric substance, he regarded the 

 magneton as an inner limiting surface of the aether, formed 

 like an anchor ring. The tubes of electric induction which 

 terminate on its surface give it an electric charge, the 

 magnetic tubes linked through its aperture make it a 

 permanent magnet. He found that the angular momentum 

 of any such system, whatever its shape or dimensions, about 

 its axis of symmetry is (87r 2 c) _1 N e N w . Here c is the 

 velocity of light, N e is the number of tubes of electric 

 induction terminating on the surface, and N,„ is the number 

 of tubes of magnetic induction passing through the aperture. 



* Communicated by the Author. 



t Phil. Mag. vol. xxvi. p. 800 (1913); •' Nature,' vol. xcii. p. 165 

 (1913), vol. xcvii. p. 547 (191G). 



Phil. Mag. S. 6. Vol. 41. No. 241. Jan. 1921. I 



