title: Brillouin-zone database on the Bilbao Crystallographic Server.
abstract: The Brillouin-zone database of the Bilbao Crystallographic Server (http://www.cryst.ehu.es) offers k-vector tables and figures which form the background of a classification of the irreducible representations of all 230 space groups. The symmetry properties of the wavevectors are described by the so-called reciprocal-space groups and this classification scheme is compared with the classification of Cracknell et al. [Kronecker Product Tables, Vol. 1, General Introduction and Tables of Irreducible Representations of Space Groups (1979). New York: IFI/Plenum]. The compilation provides a solution to the problems of uniqueness and completeness of space-group representations by specifying the independent parameter ranges of general and special k vectors. Guides to the k-vector tables and figures explain the content and arrangement of the data. Recent improvements and modifications of the Brillouin-zone database, including new tables and figures for the trigonal, hexagonal and monoclinic space groups, are discussed in detail and illustrated by several examples.
authors.affiliation: Departamento Física de la Materia Condensada, Universidad del País Vasco (UPV/EHU), Bilbao, Spain.
authors.forename: Mois I
authors.initials: MI
authors.lastname: Aroyo
authors.affiliation: Departamento Física de la Materia Condensada, Universidad del País Vasco (UPV/EHU), Bilbao, Spain.
authors.forename: Danel
authors.initials: D
authors.lastname: Orobengoa
authors.affiliation: Departamento Física de la Materia Condensada, Universidad del País Vasco (UPV/EHU), Bilbao, Spain.
authors.forename: Gemma
authors.initials: G
authors.lastname: de la Flor
authors.affiliation: Physics Department, Middle East Technical University, Ankara, Turkey.
authors.forename: Emre S
authors.initials: ES
authors.lastname: Tasci
authors.affiliation: Departamento Física de la Materia Condensada, Universidad del País Vasco (UPV/EHU), Bilbao, Spain.
authors.forename: J Manuel
authors.initials: JM
authors.lastname: Perez-Mato
authors.affiliation: Laboratorium für Applikationen der Synchrotronstrahlung (LAS), Universität Karlsruhe, Germany.
authors.forename: Hans
authors.initials: H
authors.lastname: Wondratschek
keywords: Bilbao Crystallographic Server; Brillouin-zone database; reciprocal-space groups