1994Acta Crystallographica Section A Foundations of CrystallographyRequires access

Strip-projection approach to a new model of the AlMnSi icosahedral quasicrystal

Yin Cheng, J. Gjønnes

Open publisher page 7 citations

Abstract

Recently, an approach to the atomic model of the AlMnSi quascrystalline phase has been proposed. Rhombohedra that differ from those used in the Penrose tiling were used to form an approximant. It gave a good approximation to the AlMnSi quasicrystal structure. In the present paper, a strip-projection approach to this model is implemented. It is demonstrated that the tiling, with the tile edges along the threefold axes of the icosahedral symmetry, can also be used to describe the structure of the AlMnSi icosahedral quasicrystal. The Mackay icosahedra are decorated at the vertices of the tiles.

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What this paper is about

Recently, an approach to the atomic model of the AlMnSi quascrystalline phase has been proposed. Rhombohedra that differ from those used in the Penrose tiling were used to form an approximant. It gave a good approximation to the AlMnSi quasicrystal structure. In the present paper, a strip-projection approach to this model is implemented. It is demonstrated that the tiling, with the tile edges along the threefold axes of the icosahedral symmetry, can also be used to describe the structure of the AlMnSi icosahedral quasicrystal. The Mackay icosahedra are decorated at the vertices of the tiles.

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Available abstract

Recently, an approach to the atomic model of the AlMnSi quascrystalline phase has been proposed. Rhombohedra that differ from those used in the Penrose tiling were used to form an approximant. It gave a good approximation to the AlMnSi quasicrystal structure. In the present paper, a strip-projection approach to this model is implemented. It is demonstrated that the tiling, with the tile edges along the threefold axes of the icosahedral symmetry, can also be used to describe the structure of the AlMnSi icosahedral quasicrystal. The Mackay icosahedra are decorated at the vertices of the tiles.

Key concepts: Quasicrystal, Icosahedral symmetry, Penrose tiling, Projection (relational algebra), Symmetry (geometry), Tile, Phase (matter), Geometry

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