In the laboratory we can only produce thin streams of X-rays so that
each wave-trap is only called upon to act occasionally. There is
plenty of time to repair it before the next time it has a chance of
catching anything; and there is practically no loss of efficiency
through the traps being out of order. But in the stars the stream of
X-rays is exceedingly intense. It is like an army of mice marching
through your larder springing the mouse-traps as fast as you can set
them. Here it is the time wasted in resetting the traps--by capturing
electrons--which counts, and the amount of the catch depends almost
entirely on this.
We have seen that the stellar atoms have lost most of their electrons;
that means that at any moment a large proportion of the absorption
traps are awaiting repair. For this reason we find a smaller opacity in
the stars than in terrestrial material. The lowered opacity is simply
the result of overworking the absorbing mechanisms--they have too
much radiation to deal with. We can also see why the laws of stellar
and terrestrial opacity are somewhat different. The rate of repair,
which is the main consideration in stellar opacity, is increased by
compressing the material, because then the atom will not have to wait
so long to meet and capture a free electron. Consequently the stellar
opacity will increase with the density. In terrestrial conditions there
is no advantage in accelerating the repair which will in any case be
completed in sufficient time; thus terrestrial opacity is independent
of the density.
The theory of stellar opacity thus reduces mainly to the theory of
the capture of electrons by ionized atoms; not that this process
is attended by absorption of X-rays--it is actually attended by
emission--but it is the necessary preliminary to absorption. The
physical theory of electron-capture is not yet fully definitive; but it
is sufficiently advanced for us to make use of it provisionally in our
calculations of the hindering factor in the leakage of radiation from
the stars.
_The Relation of Brightness to Mass_
We do not want to tackle too difficult a problem at first, and so we
shall deal with stars composed of perfect gas. If you do not like
the technical phrase ‘perfect gas’ you can call it simply ‘gas’,
because all the terrestrial gases that you are likely to think of are
without sensible imperfection. It is only under high compression that
terrestrial gases become imperfect. I should mention that there are
plenty of examples of gaseous[6] stars. In many stars the material
is so inflated that it is more tenuous than the air around us; for
example, if you were inside Capella you would not notice the material
of Capella any more than you notice the air in this room.
Public-domain text, read in full here on John Shaqi.
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