Low-temperature heat capacity of fcc lattice containing substitutional impurities

The contribution of substitutional impurities to the heat capacity of an fcc lattice is calculated with the help of an analytical approximation of the shift function (harmonic approximation, nearest neighbor interaction, low impurity concentration). Graphs of heat capacity calculation results are presented for different impurity masses m′ and nearest neighbor force constants ϕ′. The analytical dependence of the heat capacity on m′ and ϕ′ is determined for T→0. The proposed procedure can be used for the calculation of thermodynamic properties of crystals containing localized defects of different types.

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