On choosing a proper basis for determining structures of quasicrystals

Abstract : The diffraction pattern of quasicrystals can be misindexed in cases of decorated hyperlattices (more than one hyperspace atomic motif per a unit cell). The misindexing is fatal for proper determination of the atomic motifs. This warning is illustrated by a pedagogical 1D example and a more realistic 2D example, which might be related to the decagonal AINiCo alloy.
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Journal articles
Journal de Physique I, EDP Sciences, 1994, 4 (2), pp.283-301. 〈10.1051/jp1:1994138〉
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Frédéric Lançon, Luc Billard, Sergei Burkov, Marc De Boissieu. On choosing a proper basis for determining structures of quasicrystals. Journal de Physique I, EDP Sciences, 1994, 4 (2), pp.283-301. 〈10.1051/jp1:1994138〉. 〈jpa-00246905〉

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