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Disorder Diffuse Scattering of Crystals and Quasicrystals

  • Friedrich Frey
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Part of the Lecture Notes in Physics book series (LNP, volume 610)

Abstract

Diffuse scattering is due to departures of any kind from a perfectly ordered periodic array of identical structural units in n-dimensional space. Crystals and quasicrystals refer to n = 3 and n > 3, respectively. Periodicity of aperiodically ordered quasicrystals is restored in higher dimensional (hyper-) space. The term “disorder” covers a wide range of structural fluctuations including displacive, chemical, or lattice (= domain) disorder. Phasonic type fluctuations in quasicrystals describe displacements of hyperatoms in the perpendicular subspace of the superspace. Bragg diffraction provides information about the space/time-average of a (quasi-) crystal, i.e. about properties of single atomic sites. Diffuse scattering contains information about how pairs of atoms or larger structural units behave. Examples of layer-disorder in crystals and disorder in decagonal quasicrystals are discussed in some detail.

Keywords

Domain Structure Reciprocal Lattice Point Icosahedral Cluster Decagonal Quasicrystal Decagonal Phasis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Friedrich Frey
    • 1
  1. 1.Institut für Kristallographie und Angewandte MineralogieLudwig-Maximilians-UniversitätMünchen

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