Abstract

A crystal model is proposed that is in good agreement with the experimental electron diffraction patterns and high-resolution electron-microscopy images of the icosahedral phase in Mn–Al and related systems. Structurally, the model has long-range periodic translational order with a large unit cell (space group Im {\bar3}) containing 10038 atoms as well as orientational order characterized by symmetry close to the m {\bar3\bar5} point group. Such a periodic structure can explain the origin of the crystallographically forbidden icosahedral symmetries. The icosahedral phase may thus be considered as a complex cubic crystal.

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