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

International Tables for Crystallography (2006). Vol. E, ch. 1.2, p. 22   | 1 | 2 |

Section 1.2.16. Nomenclature

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:  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, 1965[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]).

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