The atom and the Bohr theory of its structure : $b an elementary presentationHolst, Helge
Science
The atom and the Bohr theory of its structure : $b an elementary presentation
Holst, Helge
Atomic theory
This remarkable phenomenon can be understood from the Bohr theory if we
assume that to send the most loosely bound electron in the mercury atom
out to the nearest outer stationary orbit there is required an energy
of 4·9 volts, since in that case, according to the first postulate,
an energy of less than this magnitude cannot be absorbed by the atom.
The use of the word “understanding” must here be qualified; if the
forces which influence the free electron as it comes into the electron
system of the mercury atom are no other than the usual repulsion from
the electrons and the attraction from the nucleus, the conduct of the
colliding electron can in no way be explained by the laws of mechanics.
But what happens is in agreement with the characteristic stability of
the stationary states, and Bohr had prophesied how it would happen.
Curiously enough Franck believed in the beginning that his experiment
disagreed with the Bohr theory because he made the mistake of supposing
that what happened was merely ionization, _i.e._, complete
disruption of a bound electron from a mercury atom.
Franck’s experiments showed, moreover, that mercury vapour, as soon as
the inelastic collisions appeared, began to emit ultra-violet light of
a definite wave-length, namely, 253·7 μμ. The product of the frequency
ν of this light and Planck’s constant _h_ agrees exactly with the
energy quantum possessed by an electron which has passed a potential
difference of 4·9 volts; but this also agrees with what might be
expected, according to the Bohr theory, from the radiation the removed
electron would emit upon returning to the normal state. The energy
which is respectively absorbed and emitted in the two transitions must
be indeed _h_ν.
Since an electron can not only be driven out to the next stationary
orbit, but also to an even more distant one (or entirely ejected) and
thence can come in again in one or more jumps, it is evident that
a far more complicated situation may arise. The Franck experiment,
which now has been extended to many other elements, clearly gives
extraordinarily valuable information in such cases. In mercury it has
been found that the energy a free electron must have in order to
eject an electron from an atom and turn the atom into a positive ion,
corresponds to a difference of potential of 10·8 volts, a value which
Bohr had predicted. At the same time that Franck’s experiments, in
this respect and in others, have strengthened the Bohr theory in the
most satisfactory way, they have also advanced its development very
much. Indeed it may be said that they have been of the greatest help in
atomic research. Even if the spectroscope has greater importance, the
investigations on electron collisions make the realities in the Bohr
theory accessible to study in a more direct and palpable manner.
[Illustration: FIG. 31.—Stratification of light in a vacuum tube.]
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