Experiments demonstrate hydrogen solubility in liquid iron of ~1.2 wt% at lunar core pressures, producing a 9% density reduction that may account for the Moon's core density deficit.
We can also calculate the possible hydrogen content in the lunar core based on its metal-silicate partitioning under core formation conditions
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Fe-H melting curve below 3 GPa: Implications for hydrogen in the lunar core
Experiments demonstrate hydrogen solubility in liquid iron of ~1.2 wt% at lunar core pressures, producing a 9% density reduction that may account for the Moon's core density deficit.