Sc2O3 has been transformed at 1000°C and 130 kb from the relatively open C‐rare‐earth structure type to the monoclinic B‐rare‐earth form with unit cell dimensions α = 13.173 A, b = 3.194 A, c = 7.976 A, and β = 100.40°. The calculated density, 4.16 g/cm3, represents an increase of 8.3% over the density of C‐type Sc2O3 and reflects an increase in coordination from six to seven fold for two‐thirds of the scandium atoms. Under the same conditions In2O3 was transformed to a corundum form, but a corundum form of Sc2O3 could not be obtained at any intermediate pressure. Graphs of average metal‐oxygen bond length versus molar volume, using these high‐pressure phases as key examples and six‐coordinate bond lengths as reference points, have enabled us to define the molar volume for a given M2X3 or ABX3 composition in any of the denser structural forms. These forms are, in order of decreasing molar volume, defect spinel; C rare earth; garnet; rare‐earth manganite; corundum, which is also equivalent to ilmenite and metal‐deficient nickel arsenide; B rare earth; A rare earth; and perovskite. By fitting reported shock‐wave data to these graphs we conclude that very high‐pressure Fe2O3 is most probably a perovskite, with possible composition Fe2+Fe4+O4, and that very high‐pressure MgSiO3 is probably an ilmenite.