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 reciprocity, which may be considered as a direct consequence
of the Bohr postulates, agrees with what has been said (cf. p. 50)
about the correspondence between the lines in the line spectrum of an
element and the dark absorption lines of that element—_e.g._, the
Fraunhofer lines in the solar spectrum. Let us examine, as an example,
the yellow sodium line, the D-line. Light with the corresponding
frequency, 526 × 10¹² vibrations per second, is emitted by a sodium
atom, when the loosest bound electron goes over from a stationary orbit
with quantum numbers 3₂ to the orbit 3₁, which belongs to the normal
state of the sodium atom. The transition in the opposite direction,
3₁ to 3₂, can take place under absorption of radiation only when in
the light from some other source of light, which passes the sodium
atoms, there are found rays with the frequency 526 × 10¹². Even if
there is present radiation energy with some other frequency, the sodium
atoms take no notice of this energy; they absorb only rays with the
frequency stated, and every time an atom absorbs energy from a ray the
energy taken is always an energy quantum of the magnitude _h_ν,
_i.e._ about 6·54 × 10⁻²⁷ × 526 × 10¹² = 3·44 × 10⁻¹² ergs (1 erg
is the unit of energy used in the determination of _h_). When
there are present a large number of sodium atoms (as, for instance,
in the previously mentioned common salt flame), the transition 3₁ to
3₂ can take place in some atoms, the transition 3₂ to 3₁ in others;
therefore, at the same time there can be absorption and radiation of
the light in question. Whether absorption or radiation at any given
time has the upper hand depends upon various conditions (temperature,
etc.).
For the sake of simplicity we have here tacitly understood that
there can be but one definite transition (from the normal state)
corresponding to the assumption that the sodium spectrum had no other
lines than the D-line. In reality this is not the case, and there can
equally occur absorption of rays with larger frequencies belonging to
other spectral lines in the sodium atom and corresponding to other
possible transitions between stationary states in the sodium atom. If
the temperature of the sodium vapour is sufficiently low, in which
case almost all the atoms are in the normal state, it is evident that
in the absorption only those lines will appear which correspond to
transitions from the normal state, and which therefore form only a part
of all the lines of the sodium spectrum. We thus obtain an explanation
of the previously enigmatical circumstance that not all spectral lines
which can appear in emission will be found in absorption. At the same
time we get, in absorption experiments, valuable information about the
structure of the atom beyond what the observations in the emission
spectra are able to give.
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