Abstract
Using pair potentials fitted to an ab--initio database, combined with replica--exchange simulated annealing, we show the complex, quasicrystal-related AlIr compound contains a new version of the "pseudo-Mackay" icosahedral cluster, with non-icosahedral inner AlIr and/or AlIr clusters that exist in various orientations and account for partial occupancies in the reported structure. Two different compositions show first-order transitions to orientationally ordered phases doubling the (cubic) unit cell, which are respectively metallic and insulating.
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