The atomic structure of the Bergman-type icosahedral quasicrystal based on the Ammann–Kramer–Neri tiling
書誌事項
- 公開日
- 2020-02-11
- 資源種別
- journal article
- 権利情報
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- http://creativecommons.org/licenses/by/4.0/legalcode
- http://creativecommons.org/licenses/by/4.0/legalcode
- DOI
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- 10.1107/s2053273319017339
- 公開者
- International Union of Crystallography (IUCr)
説明
<jats:p>In this study, the atomic structure of the ternary icosahedral ZnMgTm quasicrystal (QC) is investigated by means of single-crystal X-ray diffraction. The structure is found to be a member of the Bergman QC family, frequently found in Zn–Mg–rare-earth systems. The<jats:italic>ab initio</jats:italic>structure solution was obtained by the use of the<jats:italic>Superflip</jats:italic>software. The infinite structure model was founded on the atomic decoration of two golden rhombohedra, with an edge length of 21.7 Å, constituting the Ammann–Kramer–Neri tiling. The refined structure converged well with the experimental diffraction diagram, with the crystallographic<jats:italic>R</jats:italic>factor equal to 9.8%. The Bergman clusters were found to be bonded by four possible linkages. Only two linkages,<jats:italic>b</jats:italic>and<jats:italic>c</jats:italic>, are detected in approximant crystals and are employed to model the icosahedral QCs in the cluster approach known for the CdYb Tsai-type QC. Additional short<jats:italic>b</jats:italic>and<jats:italic>a</jats:italic>linkages are found in this study. Short interatomic distances are not generated by those linkages due to the systematic absence of atoms and the formation of split atomic positions. The presence of four linkages allows the structure to be pictured as a complete covering by rhombic triacontahedral clusters and consequently there is no need to define the interstitial part of the structure (<jats:italic>i.e.</jats:italic>that outside the cluster). The 6D embedding of the solved structure is discussed for the final verification of the model.</jats:p>
収録刊行物
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- Acta Crystallographica Section A Foundations and Advances
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Acta Crystallographica Section A Foundations and Advances 76 (2), 180-196, 2020-02-11
International Union of Crystallography (IUCr)
