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Statics and Dynamics of Alloy Phase Transformations pp 127–154Cite as

Introduction to the Physics of Quasicrystals

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Part of the book series: NATO ASI Series ((NSSB,volume 319))

Abstract

In condensed matter physics the notion of geometrical order is often associated to the much more restricted notion of periodicity. Amorphous metals are seen as “disordered” materials whereas crystalline phases are the best representation of this periodic order. As an illustration, group theory was introduced, now a long time ago, to classify the different structures compatible with this order. In crystallography, the experimentally observed diffraction patterns are analyzed and understood with the help of group theory, one of the best achieved mathematical theory. One of the elementary results of this theory is that the diffraction pattern of a crystal in 2D or 3D can only display 2, 3, 4 and 6-fold axes.

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Authors and Affiliations

  1. Laboratoire de Physique Quantique, Université Paul Sabatier, 31062, Toulouse, Cedex, France

    Clément Sire

  2. CECM-CNRS, 15, rue George Urbain, 94407, Vitry/Seine, Cedex, France

    Denis Gratias

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  1. Clément Sire
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  1. Lawrence Livermore National Laboratory, Livermore, California, USA

    Patrice E. A. Turchi  & Antonios Gonis  & 

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Sire, C., Gratias, D. (1994). Introduction to the Physics of Quasicrystals. In: Turchi, P.E.A., Gonis, A. (eds) Statics and Dynamics of Alloy Phase Transformations. NATO ASI Series, vol 319. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2476-2_6

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  • DOI: https://doi.org/10.1007/978-1-4615-2476-2_6

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