Solids

Abstract

This chapter is devoted to the classical and quantum theories of thermodynamic properties of non-conducting crystalline solids. At the beginning of the chapter the Hamilton function of a vibrating simple crystalline lattice with normal coordinates is described. Further, in the classical and quantum cases, applying the Gibbs method, the free energy, total energy, equation of state, heat capacity and coefficients of thermal expansion of a solid are calculated. In the classical case, the Hamilton function is accepted as a basis, and in the quantum case the quantized energy spectrum of vibrations of a lattice, corresponding to the Hamilton operator, is accepted.KeywordsHeat CapacityDebye TemperatureHamilton FunctionHamilton OperatorCrystalline LatticeThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.