Rendering barium titanate semiconductive by doping with rareearth elements

Abstract

Distribution of doping cations between A and B sites of perovskite ABO₃ structure obeys certain conditions derived in terms of energy. These can be applied to predict semiconducting BaTiO₃-based compositions, to account for yet unexplained anomalies in concentrational dependencies of electrical resistivity and Curie temperature, and to understand the relatively unimportant effect of doping in the case of solid solutions such as Ba_1−x Sr _x TiO₃ and Ba_1−x Ca _x TiO₃.