Ab initio calculations for the tetragonal PbZr0.5Ti0.5O3

Ab initio studies of structural, elastic and electronic properties of the tetragonal perovskite-type PbZr0.5Ti0.5O3 are presented using the pseudo-potential plane wave method within the density functional theory in generalized gradient approximation. The calculated equilibrium lattice parameters remain in a good agreement with the available experimental data. The bulk modulus obtained from the Birch-Murnaghan equation of state is calculated as it B0 = 170 GPa, and the gap energy Eg = 2.1-3.5 eV. The some differences between calculated and nominal charges exist for all atoms. The biggest ones are on the Pb ions. They are caused by hybridization of the Pb 6s and O 2p states. The influence of the strain on the averaged over directions Young modulus in the 0.1-0.3% range was studied.