International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

International Tables for Crystallography (2013). Vol. D, ch. 1.1, p. 32

## Section 1.1.5.3. Relation between the pyroelectric coefficients at constant stress and at constant strain

A. Authiera*

aInstitut de Minéralogie et de Physique des Milieux Condensés, 4 Place Jussieu, 75005 Paris, France
Correspondence e-mail: aauthier@wanadoo.fr

#### 1.1.5.3. Relation between the pyroelectric coefficients at constant stress and at constant strain

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By combining relations (1.1.5.1) and (1.1.5.2), it is possible to obtain relations between the pyroelectric coefficients at constant stress, , and the pyroelectric coefficients at constant strain, , also called real pyroelectric coefficients, . Let us put and in the first equation of (1.1.5.1). For a given variation of temperature, , the observed strain is From the second equations of (1.1.5.1) and (1.1.5.2), it follows that Substituting the expression and eliminating , it follows that

This relation shows that part of the pyroelectric effect is actually due to the piezoelectric effect.