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

International Tables for Crystallography (2010). Vol. E, ch. 1.2, pp. 21-22   | 1 | 2 |

Section 1.2.16. Nomenclature

V. Kopskýa and D. B. Litvinb*

aFreelance research scientist, Bajkalská 1170/28, 100 00 Prague 10, Czech Republic, and bDepartment of Physics, The Eberly College of Science, Penn State – Berks Campus, The Pennsylvania State University, PO Box 7009, Reading, PA 19610–6009, USA
Correspondence e-mail:  u3c@psu.edu

1.2.16. Nomenclature

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There exists a wide variety of nomenclature for layer, rod and frieze groups (Holser, 1961[link]). Layer-group nomenclature includes zweidimensionale Raumgruppen (Alexander & Herrmann, 1929a[link],b[link]), Ebenengruppen (Weber, 1929[link]), Netzgruppen (Hermann, 1929a[link]), net groups (IT, 1952[link]; Opechowski, 1986[link]), reversal space groups in two dimensions (Cochran, 1952[link]), plane groups in three dimensions (Dornberger-Schiff, 1956[link], 1959[link]; Belov, 1959[link]), black and white space groups in two dimensions (Mackay, 1957[link]), (two-sided) plane groups (Holser, 1958[link]), Schichtgruppen (Niggli, 1959[link]; Chapuis, 1966[link]), diperiodic groups in three dimensions (Wood, 1964a[link],b[link]), layer space groups (Shubnikov & Koptsik, 1974[link]), layer groups (Köhler, 1977[link]; Koch & Fischer, 1978[link]; Vainshtein, 1981[link]; Goodman, 1984[link]; Litvin, 1989[link]), two-dimensional (subperiodic) groups in three-dimensional space (Brown et al., 1978[link]) and plane space groups in three dimensions (Grell et al., 1989[link]).

Rod-group nomenclature includes Kettengruppen (Hermann, 1929a[link],b[link]), eindimensionalen Raumgruppen (Alexander, 1929[link], 1934[link]), (crystallographic) line groups in three dimensions (IT, 1952[link]; Opechowski, 1986[link]), rod groups (Belov, 1956[link]; Vujicic et al., 1977[link]; Köhler, 1977[link]; Koch & Fischer, 1978[link]), Balkengruppen (Niggli, 1959[link]; Chapuis, 1966[link]), stem groups (Galyarskii & Zamorzaev, 1965a[link],b[link]), linear space groups (Bohm & Dornberger-Schiff, 1966[link]) and one-dimensional (subperiodic) groups in three dimensions (Brown et al., 1978[link]).

Frieze-group nomenclature includes Bortenornamente (Speiser, 1927[link]), Bandgruppen (Niggli, 1959[link]), line groups (borders) in two dimensions (IT, 1952[link]), line groups in a plane (Belov, 1956[link]), eindimensionale `zweifarbige' Gruppen (Nowacki, 1960[link]), groups of one-sided bands (Shubnikov & Koptsik, 1974[link]), ribbon groups (Köhler, 1977[link]), one-dimensional (subperiodic) groups in two-dimensional space (Brown et al., 1978[link]) and groups of borders (Vainshtein, 1981[link]).

References

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