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
The two postulates say nothing concerning the nature of the motion in
the stationary states. In the applications, however, a connection with
the Rutherford atomic model is established. Confining our attention
first to the hydrogen atom, the system with which we are concerned
consists, accordingly, of a positive nucleus and one electron revolving
about it. The various states of motion which the electron can assume
in virtue of the first postulate are a series of orbits at different
distances from the nucleus. In each of these “stationary orbits” the
electron follows the general mechanical laws of motion; _i.e._
under the nuclear attraction which is inversely proportional to
the square of the distance, the electron describes an ellipse with
the nucleus at one focus, as has previously been stated; but in
contradiction with the classical electrodynamics it will emit no
radiation while moving in this orbit. Fig. 25 shows a series of these
orbits, to which the numbers 1, 2, 3, 4 have been attached, and which
for simplicity are represented as circular.
[Illustration: FIG. 25.—The Bohr model of the hydrogen atom in
the simplified form (with circles instead of ellipses).]
If the electron passes from an outer orbit to an inner one; for
example, if it goes from number 4 to number 2, or from number 2 to
number 1, the electric force which attracts it to the nucleus will do
work just as the force of gravity does work when a stone falls to the
ground. A part of this work is used to increase the kinetic energy
of the electron, making its velocity in the inner orbit greater than
in the outer, but the rest of the work is transformed into radiation
energy which is emitted from the atom in the form of monochromatic
light. In consequence of the second postulate the frequency of the
emitted radiation is proportional to the energy loss. When the electron
has reached the innermost orbit (the one denoted by 1 in the figure),
it cannot get any nearer the nucleus and hence cannot emit any more
radiation unless it first is impelled to pass from its inner orbit to
an outer orbit again by the absorption of external energy sufficient
to bring about this change. Once in the outer orbit again, it is in a
state to produce radiation by falling in a second time. The innermost
orbit represents thus the electron’s equilibrium state, and corresponds
to the _normal state of the atom_.
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