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The sound velocity of hcp Fe 0.89 Si 0.11  (Fe-6wt% Si) alloy was measured at pressures from 45 to 84 GPa and temperatures of 300 and 1800 K using inelastic X-ray scattering (IXS) from laser-heated samples in diamond-anvil cells (DACs). The compressional velocity ( ν  P ) and density (ρ) of the Fe-Si alloy are observed to follow a linear relationship at a given temperature. For hcp Fe 0.89 Si 0.11  alloy we found  ν  P  = 1.030 (±0.008) × ρ – 1.45 (±0.08) + [3.8 × 10 −5 ( T  – 300)×(ρ – 15.37)], including non-negligible temperature dependence. The present results of sound velocity and density of hcp Fe 0.89 Si 0.11  alloy indicates that 3~6 wt% of silicon in the inner core with additional amount of Ni can explain the compressional velocity ( ν  P ) and density (ρ) of the “preliminary Earth reference model” (PREM), assuming a temperature of 5500 K and that silicon is the only light element in the inner core

Sound velocity measurements of hcp Fe-Si alloy at high pressure and high temperature by inelastic X-ray scattering