There is some confusion in the literature what "modulated quasicrystals" are: Some people treat "modulated quasicrystals" and "deformed model sets" as exchangeable termini (compare [6, 9, 5]), others claim that "[⋯] the projection method becomes powerless against incommensurate modulated structures" (e.g., [12 p. 148]). We use a mathematical approach and propose the following classification: While deformed model sets are characterised by a deformation that does not change the location of the Bragg peaks, a modulated phase yields "satellites" in the diffraction pattern and is achieved "by enlarging the internal space" with a torus. © by Oldenbourg Wissenschaftsverlag.
CITATION STYLE
Sing, B. (2008). Modulated quasicrystals. In Zeitschrift fur Kristallographie (Vol. 223, pp. 765–769). https://doi.org/10.1524/zkri.2008.1073
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