Strip-projection approach to a new model of the AlMnSi icosahedral quasicrystal
Yin Cheng, J. Gjønnes
Abstract
Yin Cheng, J. Gjønnes
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.
OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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