Modulated quasicrystals

Bernd Sing

Research output: Contribution to journalArticlepeer-review

2 Citations (SciVal)


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.
Original languageEnglish
Pages (from-to)765-769
Number of pages5
JournalZeitschrift für Kristallographie
Issue number11-12
Publication statusPublished - 2008


  • Modulation
  • Model sets
  • Deformation


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