PROCEEDINGS 
OF THE 
NATIONAL ACADEMY OF SCIENCES 
Volume 5 SEPTEMBER 15, 1919 Number 9 
RADIATION FROM A MOVING MAGNETON 
By H. Bateman 
Throop College of Technology, Pasadena 
Communicated by R. A. Millikan, June 7, 1919 
1. The rate of radiation of energy from a ring of electrons revolving 
in a circular orbit and from various other distributions of moving 
electric charges and magnetic poles has been calculated by G. A. Schott/ 
who finds that the rate of radiation of energy is almost invariably posi- 
tive. This is certainly true in the case of a single electric pole describ- 
ing a circular orbit as is indicated by the well known formulae of Larmor 
and Lienard for the rate of radiation. Thus electromagnetic theory in 
its present form lends no support to Bohr's idea of non-radiating orbits. 
A steady distribution such as a Parson magneton which consists of a 
complete ring of electric charges following one another round the ring 
at a constant speed will evidently give no radiation when the ring is 
stationary as a whole, but as Schott remarks the ring may be expected 
to radiate energy when its centre has an acceleration. 
Schott's results are so important that it is desirable that they should 
be confirmed by an independent method and an attempt has been made 
to devise a method by which the rate of radiation from a moving elec- 
tric pole and magnetic doublet may be readily calculated. In two im- 
portant cases we have confirmed Schott's surmise that the rate of 
radiation is positive. 
2. Starting with the case of an electromagnetic doublet, i.e. an electric 
doublet and magnetic doublet which move together, we determine the 
electric force E and the magnetic force H from the equations 
M = H^iE = i rot L 
L = ^ + iciotG, G= -g(r) 
bt V 
367 
