Abstract
Abstract A comprehensive model for the structures of the Al-Co-Cu decagonal phase and its crystalline approximants is proposed using the results of electron and X-ray diffraction studies, high resolution electron microscopy, and scanning tunnelling microscopy. Two primary atomic clusters, pentagonal polyhedra, along with aggregates of these polyhedra form the building blocks of the structures of the decagonal phase and the approximants. The unit cell for one of the approximants consists of 990 atoms, with 63 at.% Al, and 37 at.% (Co, Cu). The possible structural variations based on the two polyhedra, either periodic or quasi-periodic, are numerous.
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