J. Phys. I France
Volume 5, Numéro 6, June 1995
Page(s) 719 - 728
DOI: 10.1051/jp1:1995101
J. Phys. I France 5 (1995) 719-728

An Elementary Approach to the Crystallography of Twins in Icosahedral Quasicrystals

O. Radulescu

Laboratoire de recherche sur les matériaux, Université de Marne-la-Vallée, 2 rue de la Butte Verte, 93166 Noisy le Grand Cedex, France

(Received 8 November 1994, revised 30 January 1995, accepted 21 February 1995)

The properties of icosahedral modules and 6D hypercubic lattices are used in order to show that values of coincidence ratios for twins of icosahedral quasicrystals are of the form 5x2-y2, with $x, y \in {\mathbb Z}$, and to assign a geometrical meaning to this form. Some physical consequences are inferred.

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