An essential, although at first sight somewhat unexpected, feature of
the whole theory is that even if the hydrogen atom charged with its 16
× 10⁻¹² ergs of energy is left entirely undisturbed, the electron must,
after a certain time, lapse back spontaneously to its original smaller
orbit, ejecting its 16 × 10⁻¹² ergs of energy in the form of radiation
in so doing. Einstein shewed that, if this were not so, then Planck’s
well-established “cavity-radiation” law could not be true. Thus a
collection of hydrogen atoms in which the electrons describe orbits
larger than the smallest possible orbit is similar to a collection of
uranium or other radio-active atoms, in that the atoms spontaneously
fall back to their states of lower energy as the result merely of the
passage of time.
The electron orbits in more complicated atoms have much the same
general arrangement as in the hydrogen atom, but are different in size.
In the hydrogen atom the electron normally falls, after sufficient
time, to the orbit of lowest energy and stays there. It might be
thought by analogy that in more complicated atoms in which several
electrons are describing orbits, all the electrons would in time
fall into the orbit of lowest energy and stay there. Such does not
prove to be the case. There is never room for more than one electron
in the same orbit. This is a special aspect of a general principle
which appears to dominate the whole of physics. It has a name—“the
exclusion-principle”—but this is about all as yet; we have hardly
begun to understand it. In another of its special aspects it becomes
identical with the old familiar corner-stone of science which asserts
that two different pieces of matter cannot occupy the same space at
the same time. Without understanding the underlying principle, we
can accept the fact that two electrons not only cannot occupy the
same space, but cannot even occupy the same orbit. It is as though
in some way the electron spread itself out so as to occupy the whole
of its orbit, thus leaving room for no other. No doubt this must not
be accepted as a literal picture of things, and yet it seems not
improbable that the orbits of lowest energy in the hydrogen atom are
possible orbits just because the electron can completely fill them, and
that adjacent orbits are impossible because the electron would fill
them ¾ or 1½ times over, and similarly for more complicated atoms.
In this connection it is perhaps significant that no single known
phenomenon of physics makes it possible to say that at a given instant
an electron is at such or such a point in an orbit of lowest energy;
such a statement appears to be quite meaningless, and the condition of
an atom is apparently specified with all possible precision by saying
that at a given instant an electron is in such an orbit, as it would
be, for instance, if the electron had spread itself out into a ring.
We cannot say the same of other orbits. As we pass to orbits of higher
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