Applied Study on Piezoelectric Properties of Ferroelectric Nanomaterials

Abstract

This paper presents the theoretical model d₃₃(D) for the size dependence of the piezoelectric coefficient of the ferroelectric lead titanate PbTiO₃ nano particles, where D is the diameter of nano particles. Through the model, it is found that the key to obtaining the piezoelectric coefficient of nano-ferroelectric material is to introduce its size effect. The research shows that d₃₃(D) increases with the decrease of size D, and that the prediction results of the theoretical model are consistent with the experimental results of the piezoelectric coefficient of ferroelectric nanomaterials. In addition, based on the assumption that the dielectric susceptibility coefficient η₃₃(D) is directly proportional to d₃₃(D), this paper also successfully predicts the size effect of the dielectric susceptibility coefficient, and the η₃₃(D) function predicted by the proposed model is consistent with those by other theoretical models.