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
To get an idea of some of the difficulties inherent in the attempt to
make concrete pictures of the nature of the processes, let us again
consider the analogy between the Bohr atom of hydrogen and a special
kind of musical instrument in which sounds are produced by the fall
of a small sphere between discs at various heights (see p. 120). It
will be most natural here to think of the sounds as developed by the
sphere when it hits the lower disc, and to think of the tones of higher
pitch as given by the harder blows, corresponding to the larger energy
(determinative of the pitch) released by the fall. We can, however,
by no means transfer such a picture to the atomic model. For in the
latter we cannot think of the stationary state as a material thing
which the electron can hit, and it is also unreasonable to imagine
that the radiation is not emitted until the moment when the transition
is over and the electron has arrived in its new stationary state. We
must, on the contrary, assume that the emission of radiation takes
place during the _whole_ transition, whether the latter consumes
a shorter or longer time. If it were the case that a transition always
took place between two successive stationary states, it would then be
possible to use the musical instrument to illustrate the matter. Let
us denote the discs from the lowest one up with the numbers 1, 2, 3,
... corresponding to the stationary states 1, 2, 3, ... and for the
moment consider a fall from disc 6 to disc 5. We can now imagine that
the space between the two discs is in some way tuned for a definite
note. Thus we might place between the discs a series of sheets of paper
having such intervals between them that the sphere in its fall strikes
their edges at equal intervals of time, _e.g._, ¹/₁₀₀ second.
The disturbance then set up will produce a sound with the frequency
100 vibrations per second. If the distance between the discs 5 and 4
is double that between 6 and 5, the sphere in the fall from 5 to 4
will lose double the energy lost in the descent from 6 to 5, and will
therefore emit a note of double frequency. The sheets of paper in the
space between 5 and 4 must then be packed more tightly than between
6 and 5. And so the space between any two discs may thus be said to
have its own particular classification or “tuning.” In analogy with
this we might think of the space about a hydrogen nucleus divided by
the stationary states into sections each with its own “tuning.” But
apart from the intrinsic peculiarity of such an arrangement and the
particular difficulties it will meet in trying to explain the more
complicated phenomena to be mentioned later, the one fact that the
electron in a transition from one stationary state to another can
jump over one or more intervening stationary orbits, makes such a
representation impossible. If the sphere in the given example could
fall from disc 6 to disc 4, it should during the whole descent emit
a note of higher pitch than in the descent from 6 to 5.
Public-domain text, read in full here on John Shaqi.
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