Example of the coupled evolution of a magma ocean and proto-atmosphere for an initial H₂+H₂O amount of 10N_TO and an initial magma ocean bottom pressure of 50 GPa, focusing on the behavior of oxide components and redox state of the magma ocean. The left and right columns show the results of Case 1 and Case 2, respectively. (a), (b) Magma ocean composition. (c), (d) Mantle composition. (e), (f) Molar FeO_1.5/FeO ratio in the bulk interior (black), magma ocean (red), and mantle (orange). (g), (h) Partition coefficient of FeO (red) and FeO_1.5 (yellow). (i), (j) Oxygen fugacity relative to the IW buffer at the surface (pink) and the magma ocean bottom (brown). (k), (l) Pressure at the magma ocean bottom.