Oxygen fugacity (fO2) in the experiments was estimated on the basis of the coexistence of the Fe-alloy and the silicate melt via the equilibrium reactionEmbedded Image(1)from which the fO2 relative to the fO2 of the iron-wüstite buffer (ΔIW) at a given P-T is defined byEmbedded Image(2)where Embedded Image and Embedded Image represent the activity of the FeO component in the silicate melt and the activity of the Fe component in the alloy melt, respectively; Embedded Image and Embedded Image represent the mole fraction and activity coefficient of the FeO component in the silicate melt, respectively; and Embedded Image and Embedded Image represent the mole fraction and activity coefficient of the Fe component in the alloy melt, respectively. The fO2 calculations were performed using the nonideal solution model, assuming a fixed Embedded Image of 1.5 (49). The Embedded Image in the alloy liquids was calculated using the ε approach in Wagner equations, taking into account nonideal interactions between the components in the alloy melt (50). The activity of Fe in the alloy melt was calculated using the “Online Metal Activity Calculator” (http://norris.org.au/expet/metalact/). The fO2 calculations show that the calculated nonideal fO2 values are between IW −1.71 and −0.83, while the calculated ideal fO2 values are between IW −1.76 and −1.03.

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