Issue
J. Phys. Colloques
Volume 47, Number C3, Juillet 1986
International Workshop on Aperiodic Crystals
Page(s) C3-135 - C3-141
DOI https://doi.org/10.1051/jphyscol:1986313
International Workshop on Aperiodic Crystals

J. Phys. Colloques 47 (1986) C3-135-C3-141

DOI: 10.1051/jphyscol:1986313

CRYSTALLOGRAPHY OF ICOSAHEDRAL CRYSTALS

P. BAK

Physics Department, Brookhaven National Laboratory, Upton, NY 11973, U.S.A.


Abstract
The crystallography of icosahedral crystals is constructed. The actual three-dimensional crystal is represented by a three-dimensional cut in a regular six-dimensional periodic crystal with symmetry described by a six-dimensional space group, and the positions of atoms correspond to an arrangement of hypersurface segments. The resulting crystal can not in general be viewed as a space-filling arrangement of a small number of different "Penrose tiles." The intensities of Bragg spots are given directly as the intensities of Bragg spots of the six-dimensional crystal.