Theoretical Model Construction of Piezoelectric Coefficient of PbTiO3 Nanoparticles

Abstract

This paper aims to explain the size dependence of piezoelectric coefficient d₃₃(D) of PbTiO₃ nanoparticles. For this purpose, a theoretical model was created for the size-dependent piezoelectric coefficient, considering the Curie temperature for small ferroelectrics. The research reveals that d₃₃(D) increased with the decline in the particle size D. The model prediction agrees well with the experimental results on the piezoelectric coefficient of PbTiO₃ nanoparticles. In addition, the size effect of the dielectric susceptibility coefficient η₃₃(D) was also predicted under the condition of η₃₃(D)∝d₃₃(D). Our prediction of η₃₃ (D) function was consistent with other theoretical evidences.