International
Tables for Crystallography Volume D Physical properties of crystals Edited by A. Authier © International Union of Crystallography 2006 |
International Tables for Crystallography (2006). Vol. D, ch. 1.1, p. 32
Section 1.1.5.2. Other forms of the piezoelectric constants^{a}Institut de Minéralogie et de la Physique des Milieux Condensés, Bâtiment 7, 140 rue de Lourmel, 75015 Paris, France |
We use here another Gibbs function, the electric Gibbs function, , defined by
Differentiation of givesIt follows that and a set of relations analogous to (1.1.5.1):where the components are the isothermal elastic stiffnesses at constant field and constant temperature, are the piezoelectric stress coefficients at constant strain and constant temperature, are the temperature-stress constants andare the components of the pyroelectric effect at constant strain.
The relations between these coefficients and the usual coefficients are easily obtained: