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

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. A1. ch. 2.1, p. 42   | 1 | 2 |

Section 2.1.2.1. Headline

Hans Wondratscheka* and Mois I. Aroyob

a Institut 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

2.1.2.1. Headline

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The headline contains the specification of the space group for which the maximal subgroups are considered. The headline lists from the outside margin inwards:

  • (1) The short (international) Hermann–Mauguin symbol for the plane group or space group. These symbols will be henceforth referred to as `HM symbols'. HM symbols are discussed in detail in Chapter 12.2[link] of IT A with a brief summary in Section 2.2.4[link] of IT A.

  • (2) The plane-group or space-group number as introduced in International Tables for X-ray Crystallography, Vol. I (1952[link]). These numbers run from 1 to 17 for the plane groups and from 1 to 230 for the space groups.

  • (3) The full (international) Hermann–Mauguin symbol for the plane or space group, abbreviated `full HM symbol'. This describes the symmetry in up to three symmetry directions (Blickrichtungen) more completely, see Table 12.3.4.1[link] of IT A, which also allows comparison with earlier editions of International Tables.

  • (4) The Schoenflies symbol for the space group (there are no Schoenflies symbols for the plane groups). The Schoenflies symbols are primarily point-group symbols; they are extended by superscripts for a unique designation of the space-group types, cf. IT A, Sections 12.1.2[link] and 12.2.2[link] .

References

First citation International Tables for X-ray Crystallography (1952, 1965, 1969). Vol. I, Symmetry groups, edited by N. F. M. Henry & K. Lonsdale. Birmingham: Kynoch Press.Google Scholar








































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