Calculated enthalpies as a function of pressure for ScFeO3 polymorphs: polar corundum (blue), perovskite (black), YMnO3 (purple), ilmenite (red), and postperovskite (green) relative
to the binary oxides (yellow). Upper plot: 0 K results, for FM (solid
lines) and AFM (dashed lined) phases. Mid plot: 1773 K results, for
the paramagnetic phase, where the blue area represents the contribution
of the configurational entropy to the polar corundum, with the lower
bound shown representing the maximum possible stabilizing contribtion.
Both magnetic and configurational terms are essential for the polar
corundum to become the stable phase between 0 and 12 GPa. Bottom diagram:
temperature dependence of cation order in polar corundum SFO from
MC simulations, showing a transition from a mainly ordered to a mainly
disordered structure between 1300 and 1450 K.