The electron, its isolation and measurement and the determination of some of its propertiesMillikan, Robert Andrews
Philosophy
The electron, its isolation and measurement and the determination of some of its properties
Millikan, Robert Andrews
Electrons
Further, the fact that normal hydrogen does not absorb at all the
Balmer series lines which it emits is beautifully explained by the
foregoing theory, since, according to it, normal hydrogen has no
electrons in the orbits corresponding to the lines of the Balmer
series. Again, the fact that hydrogen emits its characteristic
radiations only when it is ionized or excited favors the theory
that the process of emission is a process of settling down to a normal
condition through a series of possible intermediate states, and is
therefore in line with the view that a change in orbit is necessary to
the act of radiation.
Another triumph of the theory is that the third assumption, devised
to fit a purely empirical situation, viz., the observed relations
between the frequencies of the Balmer series, is found to have a very
simple and illuminating physical meaning and one which has to do with
orbital motion. It is that all the possible values of the
angular momentum of the electron rotating about the positive
nucleus are exact multiples of a particular value of this angular
momentum. Angular momentum then has the property of atomicity.
Such relationships do not in general drop out of empirical
formulae. When they do, we usually see in them real interpretations of
the formulae—not merely coincidences.
Again, the success of a theory is often tested as much by its
adaptability to the explanation of deviations from the behavior
predicted by its most elementary form as by the exactness of the fit
between calculated and observed results. The theory of electronic
orbits has had remarkable successes of this sort. Thus it predicts
the Moseley law (33). But this law, discovered afterward, was found
inexact, and it should be inexact when there is more than one electron
in the atom, as is the case save for atoms and for such He atoms
as have lost one negative charge, and that because of the way in which
the electrons influence one another’s fields. By taking account of
these influences, the inexactnesses in Moseley’s law have been very
satisfactorily explained.
Another very beautiful quantitative argument for the correctness
of Bohr’s orbital conception comes from the prediction of a slight
difference between the positions in the spectrum of two sets of lines,
one due to ionized helium and the other to hydrogen. These two sets of
[Pg 217]
lines, since they are both due to a single electron rotating about a
simple nucleus, ought to be exactly coincident, i.e., they ought to be
one and the same set of lines, if it were not for the fact that the
helium nucleus is four times as heavy as the hydrogen nucleus.
To see the difference that this causes it is only necessary to reflect
that, when an electron revolves about a hydrogen nucleus, the real
thing that happens is that the two bodies revolve about their common
center of gravity. But since the nucleus is two thousand times heavier
than the electron, this center is exceedingly close to the hydrogen
nucleus.
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