International
Tables for
Crystallography
Volume A1
Symmetry relations between space groups
Edited by Hans Wondratschek and Ulrich Müller

International Tables for Crystallography (2011). Vol. A1, ch. 2.1, pp. 72-96   | 1 | 2 |
doi: 10.1107/97809553602060000797

Chapter 2.1. Guide to the subgroup tables and graphs

Hans Wondratscheka* and Mois I. Aroyob

aInstitut für Kristallographie, Universität, D-76128 Karlsruhe, Germany, and bDepartamento de Física de la Materia Condensada, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, E-48080 Bilbao, Spain
Correspondence e-mail:  wondra@physik.uni-karlsruhe.de

References

Ascher, E. (1968). Lattices of Equi-Translation Subgroups of the Space Groups. Geneva: Battelle Institute.
Bärnighausen, H. (1980). Group–subgroup relations between space groups: a useful tool in crystal chemistry. MATCH Commun. Math. Chem. 9, 139–175.
Billiet, Y. (1981). Des dangers d'utiliser sans précaution des tables de sous-groupes maximum; retour au théorème d'Hermann. Acta Cryst. A37, 649–652.
Engel, P., Matsumoto, T., Steinmann, G. & Wondratschek, H (1984). The non-characteristic orbits of the space groups. Z. Kristallogr. Supplement issue No. 1.
International Tables for Crystallography (2005). Vol. A, Space-Group Symmetry, edited by Th. Hahn, 5th ed. Heidelberg: Springer.
International Tables for X-ray Crystallography (1952, 1965, 1969). Vol. I, Symmetry Groups, edited by N. F. M. Henry & K. Lonsdale. Birmingham: Kynoch Press.
Internationale Tabellen zur Bestimmung von Kristallstrukturen (1935). 1. Bd. Edited by C. Hermann. Berlin: Borntraeger. (In German, English and French.)
Koch, E. (1984). The implications of normalizers on group–subgroup relations between space groups. Acta Cryst. A40, 593–600.
Ledermann, W. & Weir, A. J. (1996). Introduction to Group Theory, 2nd ed. Harlow: Addison Wesley Longman.
Neubüser, J. & Wondratschek, H. (1966). Untergruppen der Raumgruppen. Krist. Tech. 1, 529–543.
Strukturbericht 1913–1928 (1931). Edited by P. P. Ewald & C. Hermann. Leipzig: Akademische Verlagsgesellschaft. Continued by Structure Reports.
Wondratschek, H. & Aroyo, M. I. (2001). The application of Hermann's group [{\cal M}] in group–subgroup relations between space groups. Acta Cryst. A57, 311–320.