Lattice, elastic properties and Debye temperatures of ATiO3 (AÂ =Â Ba, Ca, Pb, Sr) from first-principles

► Elastic properties of ATiO3 are calculated by first principles methods. ► We propose suitable calculation method for ATiO3 according to previous experimental results and calculated results. ► The Debye temperature of the ATiO3 were studied by the averaged sound velocity.