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Crystallography of Quasicrystals pp 291–319Cite as

Structures with 3D Quasiperiodicity

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Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 126))

Abstract

Quasicrystals with icosahedral diffraction symmetry are called icosahedral quasicrystals. Their structures are quasiperiodic in all three dimensions. There are no 3D quasicrystals known with other than icosahedral noncrystallographic point symmetry. The three different structure types are discussed, i.e., structures based on Mackay-icosahedra, Bergmann clusters, and Tsai-clusters. Examples of the respective approximants are shown in detail. The structure of icosahedral Al–Cu–Fe is treated in physical space as well as its embedding in 6D space.

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  1. ETH Zürich, Department of Materials, Laboratory of Crystallography, Wolfgang-Pauli-Str. 10, 8093, Zürich, Switzerland

    Professor Dr. Walter Steurer & Dr. Sofia Deloudi

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  1. Professor Dr. Walter Steurer
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Steurer, W., Deloudi, S. (2009). Structures with 3D Quasiperiodicity. In: Crystallography of Quasicrystals. Springer Series in Materials Science, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01899-2_9

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