Table 1.10.2.1

International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

pdf | chapter contents | chapter index | related articles

International Tables for Crystallography (2006). Vol. D. ch. 1.10, p. 248

T. Janssen^a ^*

^a Institute for Theoretical Physics, University of Nijmegen, 6524 ED Nijmegen, The Netherlands
Correspondence e-mail: ted@sci.kun.nl

Table 1.10.2.1 | top | pdf |
Allowable three-dimensional point groups for systems up to rank six

Isomorphism class	Order	Three-dimensional point groups
	1	1
	2	2, $[\bar{1}]$ , m
	3	3
	4	4, $[\bar{4}]$
	5	5
	6	6, $[\bar{6}]$ , $[\bar{3}]$
	8	8, $[\bar{8}]$
$[C_{10}]$	10	10, $[\overline{10}]$ , $[\bar{5}]$
$[C_{12}]$	12	12, $[\overline{12}]$
	4	222, , 2mm
	6	32, 3m
	8	422, 4mm, $[\bar{4}2m]$
	10	52, 5m
$[D_{6}]$	12	622, $[\bar{3}m]$ , 6mm, $[\bar{6}2m]$
	16	822, 8mm, $[\bar{8}2m]$
$[D_{10}]$	20	$[10\,22]$ , $[10\,mm]$ , $[\overline{10}\,2m]$ , $[\bar{5}m]$
$[D_{12}]$	24	$[12\,22]$ , $[12\,mm]$ , $[\overline{12}\,2m]$
$[C_{4}\times C_2]$	8
$[C_{6}\times C_2]$	12
$[C_{8}\times C_2]$	16
$[C_{10}\times C_2]$	20
$[C_{12}\times C_2]$	24
$[D_{2}\times C_2]$	8
$[D_{4}\times C_2]$	16
$[D_{6}\times C_2]$	24
$[D_{8}\times C_2]$	32
$[D_{10}\times C_2]$	40
$[D_{12}\times C_2]$	48
T	12	23
O	24	432, $[\bar{4}3m]$
I	60	532
$[T\times C_2]$	24	$[m\bar{3}]$
$[O\times C_2]$	48	$[m\bar{3}m]$
$[I\times C_2]$	120	$[\bar{5}\bar{3}m]$