Abstract
The partition function for a homogeneous plate of anisotropic elastic material is computed by solving an eigenvalue problem with realistic boundary conditions. The boundary contribution is separated by the approximation method which Dupuis, Mazo, and Onsager applied to the special case of an isotropic solid. The surface specific heat then is obtained as
, where the proportionality factor B is determined by the elastic constants of the material and the orientation of the plate with respect to the crystallographic axes. Numerical examples of cubic and hexagonal systems (NaCl, MgO, Al, Graphite, Ice, Cd, and Mg) were computed. The surface specific heat data are plotted as functions of the orientation of the surface.
Based on a dissertation presented to the Yale University by Tag Young Moon for the degree of Doctor of Philosophy in 1965.
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© 1974 Plenum Press, New York
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Onsager, L., Moon, T.Y. (1974). Surface Specific Heat of Crystals. I.. In: Mintz, S.L., Widmayer, S.M. (eds) Quantum Statistical Mechanics in the Natural Sciences. Studies in the Natural Sciences, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4532-9_13
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DOI: https://doi.org/10.1007/978-1-4613-4532-9_13
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