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of a given mass; the larger the mass, the smaller the radius. Furthermore, the existence of a limiting mass is predicted, above
which no stable white
dwarf star can exist. This limiting mass, known as the Chandrasekhar limit, is on the order of 1.4 solar
masses. Both predictions are in excellent agreement
with observations of white dwarf stars.
The central region of a typical white dwarf star is composed of a mixture of carbon and oxygen. Surrounding this core is a thin
envelope of helium and, in
most cases, an even thinner layer of hydrogen. Only the outermost stellar layers are accessible to
astronomical observations.
White dwarfs evolve from stars with an initial mass of up to three or four solar masses or even possibly higher. After quiescent
phases of hydrogen and
helium burning in its core--separated by a first red-giant phase--the star becomes a red giant for a
second time. Near the end of this second red-giant phase,
the star loses its extended envelope in a catastrophic event, leaving
behind a dense, hot, and luminous core surrounded by a glowing spherical shell. This
is the planetary-nebula phase. During
the entire course of its evolution, which typically takes several billion years, the star will lose a major
fraction of its original mass
through stellar winds in the giant phases and through its ejected envelope. The hot planetary-nebula nucleus left behind has
a
mass of 0.5-1.0 solar mass and will eventually cool down to become a white dwarf.
White dwarfs have exhausted all their nuclear fuel and so have no residual nuclear energy sources. Their compact structure
also prevents further
gravitational contraction. The energy radiated away into the interstellar medium is thus provided by
the residual thermal energy of the nondegenerate ions
composing its core. That energy slowly diffuses outward through the
insulating stellar envelope, and the white dwarf slowly cools down. Following the complete
exhaustion of this reservoir of
thermal energy, a process that takes several additional billion years, the white dwarf stops radiating and has by then reached
the
final stage of its evolution and becomes a cold and inert stellar remnant. Such an object is sometimes called a black dwarf.
Because of their intrinsically low luminosities, white dwarf stars can be observed only within a few hundred parsecs (1 parsec
= 3.26 light-years)
from the Earth. They are occasionally found in binary systems, as is the case for the white dwarf companion
to the brightest star in the night sky, Sirius
(q.v.). White dwarf stars also play an essential role in the outbursts of nova and of other
cataclysmic variable stars.
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