Electronic, elastic, acoustic and optical properties of cubic TiO ₂: A DFT approach

The electronic, elastic, acoustic and optical properties of cubic phases TiO₂ fluorite and pyrite are investigated using the first principles calculations. We have employed five different exchange-correlation functions within the local density and generalized gradient approximations using the ultrasoft plane wave pseudopotential method. The calculated band structures of cubic-TiO₂ elucidate that the TiO₂ fluorite and pyrite are direct and indirect semiconductors in contrast to the previous findings. From our studied properties such as bulk and shear moduli, elastic constants C ₄₄ and Debye temperature for TiO₂ fluorite and pyrite, we infer that both the cubic phases are not superhard materials and the pyrite phase is harder than fluorite. The longitudinal and transversal acoustic wave speeds for both phases in the directions [100], [110] and [111] are determined using the pre-calculated elastic constants. In addition, we also calculate the optical properties such as dielectric function, absorption spectrum, refractive index and energy loss function using the pre-optimized structure. On the observation of optical properties TiO₂ fluorite phase turn out to be more photocatalytic than pyrite.