134
The Source of Stellar Energy [ch. iv
of the sun and stars. The only possible reservation to this statement arises
in connection with the radioactive elements. We have, however, seen that
even if the sun were built of pure uranium, its radiating power would be only
about one-half of that observed, and would only last for a minute fraction of
what is believed to have been the sun’s life. A sun of pure radium would
radiate more than enough for the moment, but its life would be limited to a
few thousand years. No possible combination of terrestrial elements can give
the combination of high radiation and of staying power which is observed in
the sun and stars.
According to practically all theories of the origin of the solar system, the
earth and the other planets must have been formed out of the body of the
sun at some epoch which we may date at approximately 1500 million years
ago. The question then arises why the atoms of the sun, which are generating
energy at an average rate of some 1'9 ergs a second, should be of different
type from those of the earth, which are certainly generating less than O’OOOl
ergs per second.
If they are of different type now, they must have been of different type
when the earth was born out of the sun. The sun’s present rate loss of mass
by radiation indicates that the present average life of solar atoms is of the
order of 15 x 10 12 years. Thus the chemical composition of the sun, or of a
fair sample of solar atoms, can hardly have changed appreciably in the 15 x 10 8
years of the earth’s existence. The earth’s atoms cannot have formed a fair
sample of the sun’s atoms when the earth was born, otherwise they would
still do so, and the phenomenon of energy-generation shews that they do not.
Thus we must suppose that the atoms in the outer layers of the sun,
from which the earth was formed, do not constitute a fair sample of the sun
as a whole. This supposition can hardly be considered unreasonable, any
more than the supposition that the earth’s atmosphere is not a fair sample
of the earth as a whole. Whatever mixture of elements may constitute the
sun, the heavier elements are likely to sink to its far interior*, so that the
atoms in its outer layers are selected for their light atomic weight. If for
simplicity we regard the sun as containing only two kinds of atoms—light
elements which rise to its surface, and heavy elements which sink into its far
interior—then the light elements, being similar to those found on earth, have
practically no capacity for generating energy, so that the sun’s generation
of energy must originate in the heavy elements which reside in its interior
regions. But if, as we have supposed (§ 120), ionisation of stellar atoms par
tially or wholly inhibits their generation of energy, then the problem of the
distribution of this energy generation becomes very intricate.
123. More generally we may suppose that the matter of the sun and stars
consists in its earliest state of a mixture of elements of different atomic
* See § 87 (p. 93) above.