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
We might now be tempted to believe that in the atom we had to deal with
comparatively simple systems—solar systems on small scale—since the
mass of the nucelus is many times greater than that of the electrons.
But even if the suggested comparison illustrates the position of the
nucleus as the central body which holds the electrons together by its
power of attraction, the comparison in other respects is misleading.
While the orbits of the planets in the solar system may be at any
distance whatsoever from the sun, and the motions of the planets are
everywhere governed by the laws of mechanics, the atomic processes,
according to the Bohr theory, are characterized by certain stationary
states, and only in these can the laws of mechanics possibly be
applied. But in addition, the forces between nucleus and electrons
are determined not at all by the masses, but rather by the electric
charges. In the helium atom the nuclear charge is only double that
of an electron, and the attraction of the nucleus for an electron
will therefore be only twice as large as the repulsions between two
electrons at the same distance apart. This repulsion under these
circumstances will, therefore, also have great influence on the ensuing
motion. In elements with higher atomic numbers the nuclear charge has
greater predominance over the electron charges; but, on the other hand,
there are then more electrons. The situation is in each case more
complicated than in the hydrogen atom.
Nevertheless, the line spectra of the elements of higher atomic number
show how the lines, as in the hydrogen spectrum, are arranged in series
although in a more complicated manner (cf. p. 59); in any case in
many instances there is great similarity between the radiation from
the hydrogen atom and that from the more complicated atoms. Thus in
the line spectra of many elements, just as in that of hydrogen, the
frequency ν of every line can be expressed as a difference between
two _terms_, involving certain integers which can pass through
a series of values. From the combinations of terms, two at a time,
the values of ν corresponding to the different spectral lines can be
derived. This so-called _combination principle_ enunciated by the
Swiss physicist, Ritz, can evidently be directly interpreted on the
basis of Bohr’s postulates, since the different combinations may be
assumed to correspond to definite atomic processes, in which there is
a transition between two stationary states, each of which corresponds
to a spectral term.
Moreover, the terms (cf. p. 59) may often be approximately given by the
Rydberg formula
K
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(_n_ + α)²
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