We investigate by first principles the structural properties and relat
ive stability of six alumina polymorphs, namely: corundum, Rh2O3 (II),
Pbnm perovskite, R (3) over bar c-perovskite, A-type rare-earth sesqu
ioxide, and B-type rare-earth sesquioxide. The compressive behavior an
d pressure-induced changes in the local environment of different alumi
num sites are investigated in detail for corundum, Rh2O3 (II) and the
perovskite phases, which are the predicted stable phases within the pr
essure range of 0-450 GPa. This information is crucial for understandi
ng the electronic states of a Cr+3 color center in alumina (ruby) and
the resulting intra-d transitions, i.e., the ruby fluorescence. Implic
ations of these pressure-induced phase transitions in Al2O3 to the rub
y fluorescence pressure scale are discussed. [S0163-1829(98)09517-4].