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

Abstract
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.



© Les Editions de Physique 1995

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.