Tables for
Volume A
Space-group symmetry
Edited by M. I. Aroyo

International Tables for Crystallography (2015). Vol. A, ch. 1.5, pp. 75-105

Chapter 1.5. Transformations of coordinate systems

H. Wondratschek,a M. I. Aroyo,b* B. Souvignierc and G. Chapuisd

aLaboratorium für Applikationen der Synchrotronstrahlung (LAS), Universität Karlsruhe, Germany,bDepartamento de Física de la Materia Condensada, Universidad del País Vasco (UPV/EHU), Bilbao, Spain,cRadboud University Nijmegen, Faculty of Science, Mathematics and Computing Science, Institute for Mathematics, Astrophysics and Particle Physics, Postbus 9010, 6500 GL Nijmegen, The Netherlands, and dÉcole Polytechnique Fédérale de Lausanne, BSP/Cubotron, CH-1015 Lausanne, Switzerland
Correspondence e-mail:



1 With Table[link] and Figs. and– by H. Arnold.

2 With Tables[link],[link],[link] and[link] by E. F. Bertaut.

3 After the introduction of the e-glide convention and the symmetry-element interpretation of the characters of the Hermann–Mauguin symbols (de Wolff et al., 1992[link]), the tabulated data for the extended symbols were partially modified by introducing the e-glide notation in the symbols of only some of the groups [cf. Table of the fifth edition of IT A (2002)]. In contrast to the fifth edition, in Table[link] extended symbols similar to those that can be found in the first four editions of IT A have been reinstated.