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Quasicrystal structure of (Al, Zn)49Mg32

Christopher Christopher, L. Henley, Veit Elser

Open publisher page 346 citations

Abstract

We express the cubic (Al, Zn)49Mg32 structure as a periodic packing of the rhombohedra1 cells from the three-dimensional Penrose tiling, decorated by atoms. This decoration is extended to the aperiodic quasicrystal packing of the same cells to give a hypothetical structure for the recently discovered icosahedral phase with the same composition. This is the first structure of a real system which is related both to quasicrystals and to Frank-Kasper icosahedral close packings.

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What this paper is about

We express the cubic (Al, Zn)49Mg32 structure as a periodic packing of the rhombohedra1 cells from the three-dimensional Penrose tiling, decorated by atoms. This decoration is extended to the aperiodic quasicrystal packing of the same cells to give a hypothetical structure for the recently discovered icosahedral phase with the same composition. This is the first structure of a real system which is related both to quasicrystals and to Frank-Kasper icosahedral close packings.

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Available abstract

We express the cubic (Al, Zn)49Mg32 structure as a periodic packing of the rhombohedra1 cells from the three-dimensional Penrose tiling, decorated by atoms. This decoration is extended to the aperiodic quasicrystal packing of the same cells to give a hypothetical structure for the recently discovered icosahedral phase with the same composition. This is the first structure of a real system which is related both to quasicrystals and to Frank-Kasper icosahedral close packings.

Key concepts: Quasicrystal, Icosahedral symmetry, Aperiodic graph, Penrose tiling, Crystallography, Phase (matter), Materials science, Crystal structure

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