Table 10.1.1.2

Hahn, Th.; Klapper, H.

doi:10.1107/97809553602060000520

International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by Th. Hahn

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International Tables for Crystallography (2006). Vol. A. ch. 10.1, p. 763

Table 10.1.1.2

Th. Hahn^a ^* and H. Klapper^a ^‡

^a Institut für Kristallographie, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany
Correspondence e-mail: hahn@xtl.rwth-aachen.de

Table 10.1.1.2 | top | pdf |
The 32 three-dimensional crystallographic point groups, arranged according to crystal system (cf. Chapter 2.1 )

Full Hermann–Mauguin (left) and Schoenflies symbols (right). The horizontal rule extending across the columns 'Tetragonal' to 'Cubic' separates point groups with different Laue classes within one crystal system.

General symbol	Crystal system
General symbol	Triclinic		Monoclinic (top) Orthorhombic (bottom)		Tetragonal		Trigonal		Hexagonal		Cubic
n	1	$[C_{1}]$	2	$[C_{2}]$	4	$[C_{4}]$	3	$[C_{3}]$	6	$[C_{6}]$	23	T
$[\overline{n}]$	$[\overline{1}]$	$[C_{i}]$	$[m \equiv \overline{2}]$	$[C_{s}]$	$[\overline{4}]$	$[S_{4}]$	$[\overline{3}]$	$[C_{3{i}}]$	$[\overline{6} \equiv 3/m]$	$[C_{3h}]$	–	–
				$[C_{2h}]$		$[C_{4h}]$	–	–		$[C_{6h}]$	$[2/m\overline{3}]$	$[T_{h}]$
n22			222	$[D_{2}]$	422	$[D_{4}]$	32	$[D_{3}]$	622	$[D_{6}]$	432	O
nmm			mm2	$[C_{2v}]$	4mm	$[C_{4v}]$	3m	$[C_{3v}]$	6mm	$[C_{6v}]$	–	–
$[\overline{n}2m]$			–	–	$[\overline{4}2m]$	$[D_{2d}]$	$[\overline{3}2/m]$	$[D_{3d}]$	$[\overline{6}2m]$	$[D_{3h}]$	$[\overline{4}3m]$	$[T_{d}]$
$[n/m\; 2/m\; 2/m]$			$[2/m\; 2/m\; 2/m]$	$[D_{2h}]$	$[4/m\; 2/m\; 2/m]$	$[D_{4h}]$	–	–	$[6/m\; 2/m\; 2/m]$	$[D_{6h}]$	$[4/m\; \overline{3}\; 2/m]$	$[O_{h}]$