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We have used first-principles density-functional-theory electronic structure methods and a random searching technique to identify stable high pressure phases of aluminum hydride (AlH₃). We find a transition from the insulating low-pressure phase to an insulating layered structure of space group Pnma at 340. 3em{0ex}GPa, and a transition to a semimetallic Pm3n phase at 730. 3em{0ex}GPa. These phases are predicted to be stable against dehydridation (the evolution of H₂ molecules), and they could be formed at pressures easily attainable within diamond-anvil-cell experiments.
Pickard et al. (Mon,) studied this question.