Report of a Subcommittee on the Nomenclature of n-Dimensional Crystallography. II. Symbols for arithmetic crystal classes, Bravais classes and space groups

T Janssen (1) , J L Birman (2) , Françoise Dénoyer (3) , V A Koptsik (4) , Jean-Louis Verger-Gaugry (5, 6) , D Weigel (7) , A Yamamoto (8) , S C Abrahams (9) , V Kopsky (10)

1 Institute of Theoretical Physics, University of Nijmegen
2 Department of Physics, City University of New York
3 LPS - Laboratoire de Physique des Solides
4 MIPT - Moscow Institute of Physics and Technology [Moscow]
5 IF - Institut Fourier
6 CNRS - Centre National de la Recherche Scientifique
7 Laboratoire de Chimie-Physique du Solide, Ecole Centrale Paris
8 NIMS - National Institute for Materials Science
9 SOU - Southern Oregon University
10 Institute of Physics [Prague]

The Second Report of the Subcommittee on the Nomenclature of n-Dimensional Crystallography recommends specific symbols for R-irreducible groups in 4 and higher dimensions (nD), for centrings, for Bravais classes, for arithmetic crystal classes and for space groups (space-group types). The relation with higher-dimensional crystallographic groups used for the description of aperiodic crystals is brie ̄y discussed. The Introduction discusses the general definitions used in the Report.

Mots clés: Crystal symmetry; Bravais classes; n dimensional crystallography; space group; Crystal symmetry

Domaines: Cristallographie; Matière Condensée [cond-mat]

T Janssen, J L Birman, Françoise Dénoyer, V A Koptsik, Jean-Louis Verger-Gaugry, et al.. Report of a Subcommittee on the Nomenclature of n-Dimensional Crystallography. II. Symbols for arithmetic crystal classes, Bravais classes and space groups. Acta Crystallographica Section A : Foundations of Crystallography [1968-2013], 2002, 58, pp.605-621. ⟨hal-03134241⟩