On the theory of ferroelectric solid solutions

TL;DR

This paper develops a lattice model to analyze ferroelectric solid solutions, deriving equations for polarization and Curie temperature, and applies the theory to the Pb$_{1-x}$Sn$_x$TiO$_3$ system.

Contribution

It introduces a lattice-based theoretical framework for ferroelectric solid solutions, including equations for polarization and Curie temperature dependence.

Findings

Derived equations for polarization contributions.

Obtained a general formula for Curie temperature dependence.

Calculated Curie temperature for Pb$_{1-x}$Sn$_x$TiO$_3$ system.

Abstract

The paper contains an application of lattice model to ferroelectric solid solutions. Short-range parts of interatomic potentials are taken into account by means the lattice structure introduction. Long-range parts are considered in effective field approximation. The equations for the mean values of the components contributions into polarization are derived. The general equation for the Curie temperature dependence on solution composition is obtained. Theoretical calculation of Curie temperature of the system Pb$_{1-x}$Sn$_x$TiO$_3$ fulfilled.