Emden calculated in 1907 that the central temperature of a sun of
this kind would be about 31,500,000 degrees. Later and more refined
calculations by Eddington led to an almost identical temperature, but
some still later calculations of my own give the substantially higher
figure of 55,000,000 degrees. There is no need for the moment to
discuss which of these figures is nearest the truth. Their diversity
will indicate what kind of degree of uncertainty attaches to all
calculations of this type.
It is easy to see the physical necessity for this high temperature.
The heat which flows away from the sun’s surface must first have been
brought there from its interior. Heat only flows from a hotter to
a cooler place, and a vigorous flow of heat is evidence of a steep
temperature gradient. The temperature must rise sharply as we pass
from the sun’s surface towards its centre, and this rise, continued
along the whole 433,000 miles to the centre, must result in a very high
temperature indeed being reached there.
The calculated central temperature of 30 to 60 million degrees so
far transcends our experience that it is difficult to realise what
it means. Let us, in imagination, keep a cubic millimetre of ordinary
matter—a piece the size of an ordinary pin-head—at a temperature of
50,000,000 degrees, the approximate temperature at the centre of the
sun. Incredible though it may seem, merely to maintain this pin-head
of matter at such a temperature—i.e. to replenish the energy it loses
by radiation from its six faces—will need all the energy generated by
an engine of three thousand million million horse-power; the pin-head
of matter would emit enough heat to kill anyone who ventured within a
thousand miles of it.
High though this temperature is, calculations shew that it would not
suffice to break up the stellar molecules completely. It would strip
the atoms of all their electrons down to the _K_-rings (p. 134), but
these would remain intact. It needs temperatures even higher than those
we are now considering to strip the _K_-ring electrons from the nucleus
of an atom. This result is true for the whole range, from about 30 to
60 million degrees, within which the temperature of the sun’s centre is
at all likely to lie, and it is true almost independently of the atomic
weight or atomic number of the atoms of which we suppose the sun to be
built.
Public-domain text, read in full here on John Shaqi.
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