298
THE SOURCE OF STELLAR ENERGY
elements accumulate. But according to § 195 diffusion is so slow that
there is no appreciable flow of the heavy elements to the centre. In fact
in the parent star of Capella the heavy elements would probably diffuse
upwards owing to radiation pressure. It is true that the tendency may
be for heavy elements to be evolved at the centre; but against this we
have the stirring of the star by the circulatory currents caused by its
rotation. Presumably the rotation of the parent star must have been
rapid since otherwise it would not have divided. This objection might
possibly be surmounted by the idea of stratified circulation (§ 199).
We may turn, however, to wider pairs and groups such as the
Taurus cluster where the primitive material from which the stars
separated can have had no very definite central condensation; pairs of
stars showing the same anomaly as the two components of Capella can
be picked out. Wherever in a coeval group of stars we find the more
massive stars with the lower effective temperature the paradox arises;
they liberate more energy per gram at lower temperature and density
and since they have been doing this through the past their store cannot
be less exhausted.
It may be suggested that in the close binaries the stars have not yet
reached a steady state so that we are not justified in inferring the amount
of liberation of subatomic energy from the radiation of these stars. A
star must reach the state of balance in a period of the order of the Kelvin
time-scale, that is to say, about 100,000 years for giant stars. If there is
anything in this suggestion the anomaly should be conspicuous in the most
recently formed binaries; these are presumably the eclipsing variables
with separation not much greater than the dimensions of the stars. It
appears to be the general rule that in ordinary giant pairs the more
massive component has the lower effective temperature (as in Capella);
but almost without exception this is reversed in the eclipsing variables,
the fainter and less massive component having the lower surface brightness.
It is just those stars in which the anomaly would be pardonable which
fail to show it at all. 208
208. The foregoing difficulties arise in a comparison of giant stars
with one another and with a star of the main series. We might perhaps
hope that an explanation confined to stars of the main series would be
a simpler problem to start with. There is the great advantage that effects
of temperature in stimulating the liberation of subatomic energy are
eliminated since the central temperature is approximately constant along
the main series. The first thing that strikes us is the enormous exhaustion
effect. The liberation per gram by Krueger 60 is of the liberation
per gram by V Puppis. Moreover Krueger 60 has a much higher density;
it is not unnatural to suppose that the rate of liberation is proportional