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 is closely connected with the fact that the motion of the electron
is not quite so simple as previously assumed. We have assumed that
the electron moves about the nucleus just as a planet moves about the
sun (according to Kepler’s Laws), in an ellipse with the sun at one
focus, since the electron is influenced by an attraction inversely
proportional to the square of the distance, just as the planets are
attracted by the sun according to Newton’s Law. We must, however,
remember that we are here concerned with the electric attraction which
at a given distance is determined, not by mass, but by the electric
charges in question. If the latter remain unchanged, while the mass
of the electron varies, the motion will be changed, because the same
force has less effect upon a greater mass. According to the Einstein
principle of relativity, the mass of the electrons, in accordance with
ideas expounded long ago by J. J. Thomson, will not be constant, but
to a certain extent depend upon the velocity, which will vary from
place to place, when the orbit is an ellipse. As a result of this, the
motion becomes a central motion of more general nature than a Kepler
ellipse. Since the influence of the change of mass is very small, the
orbit can still be considered as an approximate Kepler ellipse; but the
major axis will slowly rotate in the plane of the orbit. In reality,
the orbit will not therefore be closed, but will have the character
which is shown in Fig. 26; this, however, corresponds to a much more
rapid rotation of the major axis than that which actually takes place
in the hydrogen atom, where—even in case of the swiftest rotation—the
electron will revolve about 40,000 times round the nucleus at the same
time as the major axis turns round once.
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