Effects of Fe2+ and Zn2+ substitution on the structure and high-pressure stability of MgAl2O4 spinel from DFT calculations

Abstract

Using density functional theory we show the effects of transition (Fe2+) and non-transition (Zn2+) divalent cationic substitutions on the following structural parameters: lattice parameters, bond lengths and polyhedral volumes under varying hydrostatic pressures. Fe2+ and Zn2+ substitutions lead to contrasting modifications of tetrahedral Mg–O bond lengths. Fe2+ (50%)increase the tetrahedral Mg–O bond lengths by 0.21%, whereas Zn2+ (50%) reduce it by 0.06%.We present the equations of state of Mg spinel with 50% Fe and Zn substitutions as a function of pressure. This study presents the decomposition pressure (PT) of spinel to periclase (MgO) and corundum (α-Al2O3) as a function of Fe and Zn concentrations (x). For pure spinel, PT=12.1GPa. Fe2+substitution lowers PT linearly with its concentration as PT=−12.56x+12.02. But, Zn2+ increases PT non-linearly along a quadratic relation: PT=42.057x2+14.171x+12.174. We calculated the C44 elastic constant to explain the contrasting effects of Fe and Zn on the decomposition pressure of spinel phase.