A model for coexisting ilmenitess-magnetitess based on new and existing experimental data for the Fe-Ti oxides is developed using linear programming that is also internally consistent with the available data for Fe-Mg exchange for oliviness-ilmenitess and olivinessmagnetitess and Fe-Mn exchange for ilmenitess-garnetss. The model for ilmenitess is based on a multicomponent Margules-type solution. For magnetitess, two models are developed: one based on an assumed Akimoto-type distribution for the cations and the other based on the available cation-distribution data for the binaries. Both spinel models are adequate in describing the macroscopic solution properties of magnetite-ulvospinel solid solutions, and both predict an asymmetric miscibility gap below 500 °C.

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