A general formula for the attenuation of a surface wave by interaction with thermal phonons at low temperatures is given and compared with the results of Maradudin & Mills (1968) for a simplified model. It is argued that the attenuation coefficient will often be qualitatively similar to that of the slow transverse wave propagating in the same direction. Approximations to our integral expression for the attenuation coefficient are discussed and numerical calculations for quartz described in detail. Good agreement with the experimental data of Salzmann, Plieninger & Dransfeld (1968) is obtained.
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King et al. (1970) studied this question.
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