Carbon-depleted outer core revealed by sound velocity measurements of liquid iron-carbon alloy

The relative abundance of light elements in the Earth's core has long been controversial. Recently, the presence of carbon in the core has been emphasized, because the density and sound velocities of the inner core may be consistent with solid Fe₇C₃. Here we report the longitudinal wave velocity of liquid Fe₈₄C₁₆ up to 70GPa based on inelastic X-ray scattering measurements. We find the velocity to be substantially slower than that of solid iron and Fe₃C and to be faster than that of liquid iron. The thermodynamic equation of state for liquid Fe₈₄C₁₆ is also obtained from the velocity data combined with previous density measurements at 1 bar. The longitudinal velocity of the outer core, about 4% faster than that of liquid iron, is consistent with the presence of 4-5 at.% carbon. However, that amount of carbon is too small to account for the outer core density deficit, suggesting that carbon cannot be a predominant light element in the core.