High-pressure phases in the Al₂SiO₅ system and the problem of aluminous phase in the Earth's lower mantle: ab initio calculations

Abstract

 One of the main uncertainties in mineralogical models of the Earth's lower mantle is the nature of the aluminous mineral: it is not clear whether Al forms its own minerals or is mainly contained in (Mg,Fe)SiO₃-perovskite. This question is very important, since it is known that if Al were mainly hosted by perovskite, it would radically change Fe/Mg-partitioning and phase equilibria between mantle minerals, and also alter many physical and chemical properties of perovskite, which is currently believed to comprise ca. 70% of the volume of the lower mantle. This, in turn, would require us to reconsider many of our geochemical and geophysical models for the lower mantle. This work considers the possibility of a V₃O₅-type structured modification of Al₂SiO₅ to be the main host of Al in the lower mantle, as proposed by previous workers. We report ab initio calculations, based on density functional theory within the generalised gradient approximation (GGA) with plane wave basis set and nonlocal pseudopotentials. We consider polymorphs of Al₂SiO₅ (kyanite, andalusite, sillimanite, and hypothetical V₃O₅-like and pseudobrookite-like phases), SiO₂ (stishovite, quartz) and Al₂O₃ (corundum). Computational conditions (e.g., plane-wave energy cutoff, Brillouin zone sampling) were carefully chosen in order to reproduce small energy changes associated with phase transitions between the Al₂SiO₅ polymorphs. Good agreement of crystal structures, bulk moduli, atomisation energies and the phase diagram of Al₂SiO₅ with experimental data was found. Strong disagreement between the calculated lattice parameters and density of V₃O₅-like phase of Al₂SiO₅ and experimental values, assigned to it by previous workers, suggests that a V₃O₅-structured phase of Al₂SiO₅ was never observed experimentally. In addition, we found that the most stable high-pressure assembly in Al₂SiO₅ system is corundum+stishovite, and the value of the transition pressure at T = O K (113 kbar) is in excellent agreement with experimental estimates (95–150 kbar). We explain the instability of octahedrally coordinated silicates of Al to decomposition on the basis of Pauling's second rule.