ICOSAHEDRAL COINCIDENCE ROTATIONS

Authors
ROTH J LUCK R
Citation
J. Roth et R. Luck, ICOSAHEDRAL COINCIDENCE ROTATIONS, Zeitschrift fur Kristallographie, 212(7), 1997, pp. 473-477
Citations number
24
Categorie Soggetti
Crystallography
Journal title
Zeitschrift fur Kristallographie → ACNP
ISSN journal
00442968
Volume
212
Issue
7
Year of publication
1997
Pages
473 - 477
Database
ISI
SICI code
0044-2968(1997)212:7<473:ICR>2.0.ZU;2-V
Abstract
The coincidence problem for three-dimensional discrete structures with icosahedral symmetry is reinvestigated. We present a parametric descr iption of the coincidence rotations based on special quaternions, call ed icosian numbers. In particular, we give a characterization of the p ossible coincidence indices (Sigma-factors) and present a complete lis t of the possible rotations with Sigma < 50.