Table 2.2.5.1

Hahn, Th.; Looijenga-Vos, A.

doi:10.1107/97809553602060000505

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. 2.2, p. 20

Table 2.2.5.1

Th. Hahn^a ^* and A. Looijenga-Vos^b ^‡

^a Institut für Kristallographie, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany, and ^bLaboratorium voor Chemische Fysica, Rijksuniversiteit Groningen, The Netherlands
Correspondence e-mail: hahn@xtl.rwth-aachen.de

Table 2.2.5.1 | top | pdf |
Patterson symmetries for two and three dimensions

Laue class	Lattice type					Patterson symmetry (with space-group number)
Two dimensions
2	p					p2 (2)
2mm	p	c				p2mm (6)	c2mm (9)
4	p					p4 (10)
4mm	p					p4mm (11)
6	p					p6 (16)
6mm	p					p6mm (17)
Three dimensions
$[\bar{1}]$	P					$[P\bar{1}\ (2)]$
	P	C				$[P2/m\ (10)]$	$[C2/m\ (12)]$
mmm	P	C	I	F		Pmmm (47)	Cmmm (65)	Immm (71)	Fmmm (69)
	P		I			$[P4/m\ (83)]$		$[I4/m\ (87)]$
	P		I			$[P4/mmm\ (123)]$		$[I4/mmm\ (139)]$
$[\bar{3}]$	P				R	$[P\bar{3}\ (147)]$				$[R\bar{3}\ (148)]$
$[\!\left\{\matrix{\bar{3}m1\hfill\cr \bar{3}1m\hfill\cr}\right.]$	P				R	$[P\bar{3}m1\ (164)]$				$[R\bar{3}m\ (166)]$
	P					$[P\bar{3}1m\ (162)]$
	P					$[P6/m\ (175)]$
	P					$[P6/mmm\ (191)]$
$[m\bar{3}]$	P		I	F		$[Pm\bar{3}\ (200)]$		$[Im\bar{3}\ (204)]$	$[Fm\bar{3}\ (202)]$
$[m\bar{3}m]$	P		I	F		$[Pm\bar{3}m\ (221)]$		$[Im\bar{3}m\ (229)]$	$[Fm\bar{3}m\ (225)]$