Just because radiation completely outstrips atoms and electrons in
carrying energy from a star’s interior to its surface, it follows that
the build of a star must be determined by the opacity of the matter in
its interior. If this is altered, the carrying power of the radiation
is altered, and this affects the whole structure of the star. A star
whose interior was entirely transparent could not retain any heat at
all; its whole interior would be at a very low temperature and the
star would be of enormous extent. On the other hand, in a very opaque
star, all energy would remain accumulated at the spot at which it was
generated, so that the interior temperature would become very high and
the star’s diameter would be correspondingly small. It is, of course,
the intermediate cases which are of practical interest, but the extreme
instances just mentioned shew how a star’s build depends on its opacity.
Unfortunately it is impossible to obtain any sort of direct measurement
of the opacity of stellar matter. We cannot even measure the opacity
of terrestrial matter under stellar conditions, since the interiors of
the stars are at incomparably higher temperatures than any available
in the laboratory. However, we know that the opacity of stellar matter
is due to the atoms, nuclei and free electrons of which it is composed
checking the onward journey of radiation, and although we cannot obtain
a sample of stellar matter, we know fairly definitely how many atoms,
nuclei and electrons such a sample would contain. Thus it becomes a
matter of theoretical calculation to determine its opacity.
Such a calculation was carried through by Dr Kramers of Copenhagen
in 1923, and his results gained general acceptance. Quite recently
Mr Gaunt of Cambridge has made a much more refined calculation, and
obtained results which agree very closely with those originally given
by Kramers. In so far as these results can be tested in the laboratory,
they agree well with observation. And, although there is a big gap
between laboratory conditions and stellar conditions, it is difficult
to see how Kramers’ formula could fail in the stars.
Public-domain text, read in full here on John Shaqi.
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