International
Tables for Crystallography Volume D Physical properties of crystals Edited by A. Authier © International Union of Crystallography 2013 |
International Tables for Crystallography (2013). Vol. D, ch. 1.1, p. 32
Section 1.1.5.4. Adiabatic study^{a}Institut de Minéralogie et de Physique des Milieux Condensés, 4 Place Jussieu, 75005 Paris, France |
Piezoelectric resonators usually operate at a high frequency where there are no heat exchanges, and therefore in an adiabatic regime . From the third equation of (1.1.5.1), we obtain a relation between the temperature variation, the applied stress and the electric field:
If we substitute this relation in the two other relations of (1.1.5.1), we obtain two equivalent relations, but in the adiabatic regime: By comparing these expressions with (1.1.5.1), we obtain the following relations between the adiabatic and the isothermal coefficients: