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Puckerman, B.E., Ed. (2011) Quasicrystals, Types, Systems and Techniques. Nova Science, New York.

has been cited by the following article:

• TITLE: Hierarchic Computations in Geometric Space—Showing Sharp Diffraction in Quasicrystals

  AUTHORS: Antony J. Bourdillon

  KEYWORDS: Quasicrystals, Geometric Space, Structure Factors, Scattering Factors, Hierarchic

  JOURNAL NAME: Journal of Modern Physics, Vol.7 No.1, January 8, 2016

  ABSTRACT: A quasi-structure factor method is used to show how sharp diffraction patterns are produced by aperiodic quasicrystals. Icosahedral symmetry is described for the tensor rank 3 solids with edge-sharing unit cells that are pentagonally close packed in hierarchic structures having a geometric reciprocal lattice. The hierarchic symmetry replaces translational symmetry in crystal diffraction. Details in the calculation show how the symmetry is simulated in diffraction.