Description of the Thermoelastic Effect in Solids in a Wide Temperature Range

The change in temperature under adiabatic elastic deformation of solids (thermoelastic effect) at low and high temperatures has been calculated taking into account the quantum properties of thermal dynamics. In the high-temperature range, a quantum-mechanical correction to the classical Kelvin formula has been found. In the low-temperature range, a new formula for the description of the thermoelastic effect has been derived.