n6 THE QUANTUM [vm. 5
mechanism in the atom, viz. that it implies the existence of
unipolar magnets, is valid only in the particular case considered
in which the electron moves along the axis of the magnetic wheel.
In this case the electron has to pass through two rings of poles
of contrary sign, and the angular impulse arising from the inner
ring is exactly equal and opposite to the angular impulse from
the outer ring.
There appears to be a possible way out of the difficulty if
we suppose that the electron, instead of moving along the axis,
is projected in such a manner that it passes through the ring
composed of poles of one name, but not through the ring formed
of poles of contrary name.
As illustrating the possibility of obtaining such rotations
with ordinary bar magnets, we may recall the classical experi
ment of Faraday who produced the continued revolution of one
of the poles of a magnet round a vertical conducting wire. In
this experiment the whole magnet, with the exception of one
extremity, was immersed in mercury, and the action of the
wire carrying the current was limited almost entirely to the
exposed pole. In modifications of the experiment,* frequently
used for lecture demonstration, the magnet is suspended on a
pivot and by means of mercury contacts the vertical current is
made to pass near the upper pole only, the current being led off
horizontally about the centre of the magnet. It was a model of
this kind which suggested the possibility of meeting the difficulty
raised by Eldridge in the manner described above.
In our previous work some physical significance has been
attached to tubes of magnetic induction, and it is interesting to
trace the distribution of the tubes in the case presented by Prof.
Whittaker’s magneton. Regarding the model as a wheel with a
S-pole at the hub and N-poles distributed round the rim, the
lines of force starting from the rim would curve round and enter
the wheel at its centre. The number of tubes N, is 4?r times the
total pole strength, i.e. N = 4^M, where M denotes the sum of
the poles (of one sign) of the different bar magnets which form
the spokes of the wheel.
Now equation 8:7 gives Aco — 2eM, i.e., the angular
momentum = 2eM. = — N0.
271
According to Nicholson’s hypothesis angular momentum
can be expressed as nh/2n. Equating these expressions,
~Ne = nh/2n, and thus we get N = n(h/e). That is, the total
number of magnetic tubes associated with the magneton is an
* Francis Watkins, A Popular Sketch of Electro-magnetism and Electro
dynamics, 1828 ; P. M. Roget, Treatise on Electro-magnetism, 1832.