Negative Poisson's ratio and piezoelectric anisotropy of tetragonal ferroelectric single crystals

Orientational dependences of the Poisson's ratio have been calculated for several perovskite tetragonal ferroelectric singe crystals: 0.67Pb(Mg1/3Nb2/3)O3–0.33PbTiO3, PbTiO3, and BaTiO3. All these crystals are shown to have negative values of Poisson's ratio in some crystallographic directions thus being so-called partial auxetics. The largest negative Poisson's ratio values possess 0.67Pb(Mg1/3Nb2/3)O3–0.33PbTiO3 single crystals. The thermodynamic restrictions for the d33 and d31 piezoelectric moduli of the tetragonal crystals have been revealed. The relation between Poisson's ratio and piezoelectric properties of perovskite tetragonal ferroelectric singe crystals is discussed.

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