Calculation of lunar mantle VSEs resulting from three processes

Combining these three stages can be done using a simple approach tracking gas, melt, and metallic liquid phases that are relevant to the early Moon environment. One can calculate the concentrations of VSEs resulting in the lunar mantle, Embedded Image, according toEmbedded Image(2)where x is the mass fraction of the Moon that was supplied from a silicate melt phase (so that, in the limiting case where all of the Moon’s silicate was derived from the melt, x = 0.985 for a metal core fraction of 0.015), Cibulk is the bulk composition of the VSEs in the Moon (see the “Stage 1: Volatile-depleted building blocks” section), the core fraction is 0.015 from GRAIL (Gravity Recovery and Interior Laboratory) constraints (46), and Embedded Image is calculated according to Eq. 1 (see the “Stage 3: Core formation” section).

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