First-principles study of electronic structure and optical properties of barium strontium titanates (BaxSr1−xTiO3)

Using first-principles calculations based on density-functional theory in its local-density approximation, we investigate the energy band structures and total density of states (TDOS) of barium strontium titanates (BSTs). Direct band gaps of 1.89 and 1.87 eV at the Γ point in the Brillouin zone are calculated for Ba_xSr_1−xTiO₃ (x = 2/3 and 1/3), respectively. The optical properties of the above perovskites in the core-level spectra are investigated by the first-principles under scissor approximation. The real and imaginary parts of the complex dielectric function and derive optical constants, viz., the refractive index, extinction coefficient, reflectivity, and the electron energy-loss spectrum are calculated.