Report of a Subcommittee on the Nomenclature ofn-Dimensional Crystallography. II. Symbols for arithmetic crystal classes, Bravais classes and space groupsSubcommittee renewed by the IUCr Commission on Crystallographic Nomenclature 18 March 1999 with all present co-authors as members. Original version of the Report received by the Commission 22 April 2002, accepted 19 July 2002.

2002/10/18 by Τ. Janssen, Joseph L. Birman, F. Dénoyer +6 · 2 citations
Materials Science · Mathematics · Chemistry · #Quasicrystal Structures and Properties #X-ray Diffraction in Crystallography #Nanocluster Synthesis and Applications #Aperiodic graph #Nomenclature #Bravais lattice #Space (punctuation) #Group (periodic table) #Space group #Mathematics #Crystallography #Combinatorics #Algebra over a field #Crystal structure #Pure mathematics #Computer science #Chemistry #Physics #X-ray crystallography #Biology #Taxonomy (biology) #Zoology #Optics #Quantum mechanics

paper · pdf · doi:10.1107/s010876730201379x

openalex publication_date 2002/10/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

Abstract

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 briefly discussed. The Introduction discusses the general definitions used in the Report.

Citations

• Crystallographic Algorithms and Tables

Cited by

• Software package for structure analysis of quasicrystals ∗
• Space group [wikipedia]