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
Interesting phenomena may arise owing to the fact that the jumps
between the stationary states of the atom sometimes, as we know, take
place in single jumps, sometimes in double or multiple jumps, so that
the intermediate stationary states are jumped over. There is then
evidently a possibility that absorption can take place, for instance,
with a double jump of an electron, which may later return to the
original stationary orbit in two single jumps. The absorbed radiation
energy will then appear in emission with two frequencies which are
entirely different from the frequency of the absorbed rays (this latter
in this case will be the sum of the other two). When an element is
illuminated with a certain kind of rays, it can, in other words, emit
in return rays of a different nature. Such changes of frequencies
have also been observed in experiment; they contain, in principle, an
explanation of the characteristic phenomenon called _fluorescence_.
We shall not go further into this problem, but dwell for a time on
the characteristic phenomenon of absorption which is known as _the
photoelectric effect_. In this phenomenon (cf. p. 116) a metal
plate, by illumination with ultra-violet light, is made to send out
electrons with velocities the maximum value of which is independent of
the strength of the illumination, but depends only on the frequency
of the rays. What happens is that some of the electrons in the metal
which otherwise have, as their function, the conduction of the electric
current, by absorbing radiation energy, free themselves from the metal
and leave it with a certain velocity. The reason why the rays for most
metals must be ultra-violet (_i.e._ have a high frequency and
consequently correspond to a proportionately large energy quantum)
depends upon the fact that the energy quantum absorbed by the electrons
must be large enough to carry out the work of freeing the electrons.
But as long as the frequency of the rays (and therefore their energy
quantum) is no less than what is needed for the freeing process, it
does not need to have certain fixed values. If the energy quantum
_h_ν which the rays can give off is greater than is required
to free the electrons, the surplus becomes kinetic energy in the
electrons, which thus acquire a velocity which is the greater the
greater the frequency ν, and which coincides with the maximum velocity
observed in the experiments. What happens here is evidently something
which can be considered as the reverse of the process which leads
to the production of the continuous hydrogen spectrum (described on
p. 163). In the latter case, electrons with different velocities are
bound by the hydrogen atoms, which thus emit rays with frequencies
increasing with increasing velocity, while, _vice versa_, in the
photoelectric effect rays with different frequencies free the electrons
and give them velocities increasing with increasing frequencies.
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