Thus the motion of the ion on the xy plane may be regarded as made up
of two circular motions in opposite directions described with
frequencies p1 and p2 respectively, while the motion along z has the
period p, which is the frequency for all the vibrations when H = 0.
Now suppose that the cadmium line is due to the motion of such an ion;
then if the magnetic force is along the direction of propagation, the
vibration in this direction has its period unaltered, but since the
direction of vibration is perpendicular to the wave front, it does not
give rise to light. Thus we are left with the two circular motions in
the wave front with frequencies p1 and p2 giving the circularly
polarized constituents of the doublet. Now suppose the magnetic force
is at right angles to the direction of propagation of the light; then
the vibration parallel to the magnetic force being in the wave front
produces luminous effects and gives rise to a plane-polarized ray of
undisturbed period (the middle line of the triplet), the plane of
polarization being at right angles to the magnetic force. The
components in the wave-front of the circular orbits at right angles to
the magnetic force will be rectilinear motions of frequency p1 and p2
at right angles to the magnetic force--so that they will produce
plane-polarized light, the plane of polarization being parallel to the
magnetic force; these are the outer lines of the triplet.
If Zeeman's observations are interpreted from this point of view, the
directions of rotation of the circularly-polarized light in the doublet
observed along the lines of magnetic force show that the ions which
produce the luminous vibrations are _negatively_ electrified, while the
measurement of the charge of frequency due to the magnetic field shows
that e/m is of the order 10^7. This result is of great interest, as this
is the order of the value of e/m in the negatively electrified particles
which constitute the Cathode Rays (see CONDUCTION, ELECTRIC III.
_Through Gases_). Thus we infer that the "cathode particles" are found
in bodies, even where not subject to the action of intense electrical
fields, and are in fact an ordinary constituent of the molecule. Similar
particles are found near an incandescent wire, and also near a metal
plate illuminated by ultra-violet light. The value of e/m deduced from
the Zeeman effect ranges from 10^7 to 3.4 × 10^7, the value of e/m for
the particle in the cathode rays is 1.7 × 10^7. The majority of the
determinations of e/m from the Zeeman effect give numbers larger than
this, the maximum being about twice this value.
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