Table 1.3.4.1

International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

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International Tables for Crystallography (2006). Vol. C. ch. 1.3, p. 13

E. Koch^a

^a Institut für Mineralogie, Petrologie und Kristallographie, Universität Marburg, Hans-Meerwein-Strasse, D-35032 Marburg, Germany

Table 1.3.4.1 | top | pdf |
Possible twin operations for twins by merohedry

m is the index of the point group in the corresponding holohedry; point groups allowing twins of type 2 are marked by an asterisk.

Holohedry	Bravais lattice	Point group	m	Possible twin operations
1	aP	1	2	$[\bar 1]$
2/m	mP, mS	2	2	$[\bar 1]$
2/m	mP, mS	m	2	$[\bar 1]$
mmm	oP, oS, oI, oF	222	2	$[\bar1]$
mmm	oP, oS, oI, oF	mm2	2	$[\bar 1]$
4/mmm	tP, tI		4	$[\bar1, .m., .2.]$
		$[^*\bar4]$	4	$[\bar1, .m.,.2.]$
			2
		422	2	$[\bar 1]$
			2	$[\bar 1]$
		$[\bar42m/\bar4m2]$	2	$[\bar 1]$
$[\bar3m]$	hR		4	$[\bar1, .m, .2]$
		$[^*\bar3]$	2	.m
		32	2	$[\bar1]$
		3m	2	$[\bar1]$
6/mmm	hP		8	$[\bar1]$ , .m., .2., m.., ..m, 2.., ..2
		$[^*\bar3]$	4	.m., m.., ..m
			4	$[\bar1,m..,..2/.2.]$
			4	$[\bar1,m..,..m/.m.]$
		$[^*\bar3m1/\bar31m]$	2	m..
			4	$[\bar1,.m., .2.]$
		$[^*\bar6]$	4	$[\bar1, .m., ..m]$
			2	.m.
		622	2	$[\bar1]$
		6mm	2	$[\bar1]$
		$[\bar62m/\bar6m2]$	2	$[\bar1]$
$[m\bar3m]$	cP, cI, cF		4	$[\bar1, ..m,..2]$
		$[^*m\bar3]$	2	..m
		432	2	$[\bar1]$
		$[\bar43m]$	2	$[\bar1]$