Tables for
Volume E
Subperiodic groups
Edited by V. Kopský and D. B. Litvin

International Tables for Crystallography (2006). Vol. E, ch. 1.2, p. 7   | 1 | 2 |

Section 1.2.2. Contents and arrangement of the tables

V. Kopskýa and D. B. Litvinb*

aDepartment of Physics, University of the South Pacific, Suva, Fiji, and Institute of Physics, The Academy of Sciences of the Czech Republic, Na Slovance 2, PO Box 24, 180 40 Prague 8, Czech Republic, and bDepartment of Physics, Penn State Berks Campus, The Pennsylvania State University, PO Box 7009, Reading, PA 19610-6009, USA
Correspondence e-mail:

1.2.2. Contents and arrangement of the tables

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The presentation of the subperiodic group tables in Parts 2[link] , 3[link] and 4[link] follows the form and content of IT A (2005[link]). The entries for a subperiodic group are printed on two facing pages or continuously on a single page, where space permits, in the following order (deviations from this standard format are indicated on the relevant pages):

  • Left-hand page:

  • (1) Headline;

  • (2) Diagrams for the symmetry elements and the general position;

  • (3) Origin;

  • (4) Asymmetric unit;

  • (5) Symmetry operations.

  • Right-hand page:

  • (6) Headline in abbreviated form;

  • (7) Generators selected: this information is the basis for the order of the entries under Symmetry operations and Positions;

  • (8) General and special Positions, with the following columns: Multiplicity; Wyckoff letter; Site symmetry, given by the oriented site-symmetry symbol; Coordinates; Reflection conditions;

  • (9) Symmetry of special projections;

  • (10) Maximal non-isotypic non-enantiomorphic subgroups;

  • (11) Maximal isotypic subgroups and enantiomorphic sub­groups of lowest index;

  • (12) Minimal non-isotypic non-enantiomorphic supergroups. Subperiodic groups with more than one description

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For two monoclinic/oblique layer-group types with a glide plane, more than one description is available: p11a (L5) and p112/a (L7). The synoptic descriptions consist of abbreviated treatments for three `cell choices', called `cell choices 1, 2 and 3' [see Section 1.2.6[link], (i) Layer groups[link]]. A complete description is given for cell choice 1 and it is repeated among the synoptic descriptions of cell choices 2 and 3. For three layer groups, p4/n (L52), p4/nbm (L62) and p4/nmm (L64), two descriptions are given (see Section 1.2.7[link]). These two descriptions correspond to the choice of origin, at an inversion centre and on a fourfold axis. For 15 rod-group types, two descriptions are given, corresponding to two settings [see Section 1.2.6[link], (ii) Rod groups[link]].


International Tables for Crystallography (2005). Vol. A. Space-group symmetry, edited by Th. Hahn. Heidelberg: Springer. [Previous editions: 1983, 1987, 1992, 1995 and 2002. Abbreviated as IT A (2005).]

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