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2008•Zeitschrift für KristallographieOpen access

Physical space structure refinement of decagonal quasicrystal in rhombic Penrose tiling model

Janusz Wolny, B. Kozakowski, Pawel Kuczera, Hiroyuki Takakura

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Abstract

Abstract For the first time, the refinement of a decagonal Al72Ni20Co8 quasicrystal was conducted in physical space. We used a structure factor obtained in statistical approach. As a reference lattice we took a rhombic Penrose tiling to which we applied overlapping rules of clusters. The resulting structure gives R-factor = 8.0% and R w-factor = 6.1%. The density of the refined structure is very close to the experimental one.

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Abstract For the first time, the refinement of a decagonal Al72Ni20Co8 quasicrystal was conducted in physical space. We used a structure factor obtained in statistical approach. As a reference lattice we took a rhombic Penrose tiling to which we applied overlapping rules of clusters. The resulting structure gives R-factor = 8.0% and R w-factor = 6.1%. The density of the refined structure is very close to the experimental one.

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Available abstract

Abstract For the first time, the refinement of a decagonal Al72Ni20Co8 quasicrystal was conducted in physical space. We used a structure factor obtained in statistical approach. As a reference lattice we took a rhombic Penrose tiling to which we applied overlapping rules of clusters. The resulting structure gives R-factor = 8.0% and R w-factor = 6.1%. The density of the refined structure is very close to the experimental one.

Key concepts: Quasicrystal, Penrose tiling, Substitution tiling, Lattice (music), Space (punctuation), Hexagonal tiling, Crystal structure, Crystallography

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