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Abstract
Abstract
The aim of the present article is to give a review of the state-of-the-art on quasicrystal structure analysis. After a short discussion of the term “crystal” in chapter 1, the geometrical generation of quasilattices is touched in chapter 2. In the following the higher-dimensional description of 1d, 2d and 3d quasi-crystals is demonstrated in detail as well as the derivation of structure factor equations and symmetry relationships in the higher-dimensional space. Chapter 4 shows the experimental techniques and structure determination methods for the study of quasicrystals. The experimental results of structural studies performed with different tech-niques are critically reviewed in chapter 5. Some of the results of the literature research are that five years after the detection of the first quasicrystal not a single quantitative (in terms of a regular structure determination) analysis of its structure has been carried out, and that the famous Mackay-icosahedra do not play the important role as the basic structural building elements as one supposed before.
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Qiu SY, Jaric MV. Atomic-structure model of i-(Al0.570Cu0.108Li0.322). PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:894-918. [PMID: 9980667 DOI: 10.1103/physrevb.52.894] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Windisch M, Hafner J, Krajcí M, Mihalkovic M. Structure and lattice dynamics of rational approximants to icosahedral Al-Cu-Li. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:8701-8717. [PMID: 10009650 DOI: 10.1103/physrevb.49.8701] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Cornier-Quiquandon M, Quivy A, Lefebvre S, Elkaim E, Heger G, Katz A, Gratias D. Neutron-diffraction study of icosahedral Al-Cu-Fe single quasicrystals. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:2071-2084. [PMID: 9999756 DOI: 10.1103/physrevb.44.2071] [Citation(s) in RCA: 105] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Shen Y. Six-dimensional structure model for the icosahedral quasicrystal Al6CuLi3. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:929-937. [PMID: 9996287 DOI: 10.1103/physrevb.43.929] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Jarić MV, Qiu SY. From Crystal Approximants to Quasicrystals. SPRINGER SERIES IN SOLID-STATE SCIENCES 1990. [DOI: 10.1007/978-3-642-84253-5_6] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
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