Vibrational and elastic properties of silicate spinels A₂SiO₄ (A = Mg, Fe, Ni, and Co)

A six-parameter bond-bending force constant model is used to calculate the zone-center (Γ = 0) Raman and infrared phonon mode frequencies, elastic constants and related properties, the Debye temperatures, and sound velocities along high-symmetry directions for A₂SiO₄ (A = Mg, Fe, Ni, and Co) spinels. The main outcomes of the calculations are that the interactions between Si and O atoms (first-neighbor interaction) are stronger than those between A and Oatoms (A = Mg, Fe, Ni, and Co) (second-neighbor interaction). The elastic constants C₁₁, C₁₂, and C₄₄ decrease in the order Mg > Fe > Ni > Co. The calculated bulk modulus, Poisson's ratio, and anisotropy decrease in the sequence Fe₂SiO₄ → Ni₂SiO₄ → Co₂SiO₄ → Mg₂SiO₄. On comparison, we find overall good agreement with the available experimental and previously calculated data.