Abstract
Changes in temperature, pressure and composition cause changes in the ratios of polyhedral sizes in oxygen-based minerals. Polyhedra with large, high-coordination, low-valence cations expand and compress more than polyhedra with small, low-coordination, high-valence cations. Changes in cation composition alter the ratios of polyhedral sizes by changing mean cation radii. Thus temperature, pressure and composition are structurally analogous variables. Since temperature, pressure and composition change structures in similar ways, it is possible to construct isostructural surfaces in P-T-X space. For structures in which stability is limited to specific ranges of polyhedral size ratios (e.g. octahedral-tetrahedral layers in mica), certain P-T-X isostructural surfaces may coincide with phase boundaries. If geometrical constraints on mineral stability are known, then phase equilibria may be predicted. Examples of stability limit calculations are given for several major oxygen-based mineral groups.
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Hazen, R.M. Temperature, pressure and composition: Structurally analogous variables. Phys Chem Minerals 1, 83–94 (1977). https://doi.org/10.1007/BF00307981
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DOI: https://doi.org/10.1007/BF00307981