Immiscibility in the Fe3O4-FeCr2O4 spinel binary

A recent thermodynamic model of mixing in spinel binaries, based on changes in cation disordering (x) between tetrahedral and octahedral sites Am. Mineral. 68 (1983) 18, 69 (1984) 733], is investigated for applicability to the Fe₃O₄-FeCr₂O₄ system under conditions where incomplete mixing occurs. Poor agreement with measured consolute solution temperature and solvus N. Jb. Miner. Abh. 111 (1969) 184] is attributed to neglect of: (1) ordering of magnetic moments of cations in the tetrahedral sublattice antiparallel to the moments of those in the octahedral sublattice and (2) pair-wise electron hopping between octahedral site Fe³⁺ and Fe²⁺ ions. Disordering free energies (ΔG_D), from which free energies of mixing are calculated, are modeled by