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Beckenstein® suggested on thermodynamic grounds that some multiple of « should be regarded as the temperature of a black hole. He did not, however, suggest that a black hole could emit particles as well as absorb them. For this reason Bardeen, Carter and I considered that the thermodynamical similarity between « and temperature was only an analogy The present result seems to indicate, however, that there may be more to it than this. Of course this calculation ignores the back reaction of the particles on the metric, and quantum fluctuations on the metric. These might alter the picture. Further details of this work will be published elsewhere. The author is very grateful to G. W. Gibbons for discussions and help. S. W. HAWKING Department of Applied Mathematics and Theoretical Physics and Institute of Astronomy University of Cambridge