The Temperature of Reversing Layers of Stars

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Scientific paper

THE question of the relation of the temperature of a reversing layer of a star to the star's effective temperature is raised by Dr. J. Q. Stewart in NATURE of March 15. In the investigation of mine to which Dr. Stewart refers (Mon. Not. R.A.S., 82, 368, 1922) it was shown that the temperature of an indefinitely thin layer in radiative equilibrium, subject on one side to black radiation of effective temperature T1 and subject on the other side to no radiation, lies between T1 and 12T1 whatever the selective absorption of the thin layer. As Dr. Stewart points out, this result cannot be applied as it stands to a stellar atmosphere, for the atmosphere as a whole is not ``optically thin''. If we adopt for its lower boundary a surface at such a depth that the radiation incident on it from below is black (say of temperature T1), a temperature gradient will exist between its lower and upper boundaries and produce absorption lines. On the ordinary thermodynamic theory of radiation it can then be shown that if the atmosphere is in radiative equilibrium, the temperature of its lower boundary must lie between T1 and 12T1 but the temperature of its upper boundary may have any value whatever lying below that of the lower boundary, according to the selective absorption.

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