Table 1.5.8.3

Borovik-Romanov, A. S.; Grimmer, H.

doi:10.1107/97809553602060000632

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

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International Tables for Crystallography (2006). Vol. D. ch. 1.5, p. 140

Table 1.5.8.3

A. S. Borovik-Romanov^a ^‡ and H. Grimmer^b ^*

^a P. L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, Kosygin Street 2, 119334 Moscow, Russia, and ^bLabor für Neutronenstreuung, ETH Zurich, and Paul Scherrer Institute, CH-5234 Villigen PSI, Switzerland
Correspondence e-mail: hans.grimmer@psi.ch

Table 1.5.8.3 | top | pdf |
Classification of the 122 magnetic point groups according to magnetoelectric types

Type	Inversions in the group	Permitted terms in thermodynamic potential					Magnetic point groups	Number of magnetic point groups
1		E			EHH		, , , , , , , , ,	10	31		49	122
2		E			EHH	HEE	,	2
3		E		EH	EHH	HEE	, , , , ,	6
4		E	H	EH	EHH	HEE	, , m, , , , , , , , , ,	13		31
5			H	EH	EHH	HEE	, , $[{\bar 4}]$ , $[{\bar 4} 2'm']$ , ,	6
6			H		EHH	HEE	$[{\bar 6}]$ , $[{\bar 6} m'2']$	2
7	$[{\bar 1}]$		H			HEE	$[{\bar 1}]$ , , , , , , $[{\bar 3}]$ , $[{\bar 3} m']$ , ,	10
8				EH	EHH	HEE	, $[{\bar 4}']$ , , $[{\bar 4}2m]$ , , $[{\bar 4}'2m']$ , $[{\bar 4}'2'm]$ , , $[{\bar 6}']$ , , $[{\bar 6}'m'2]$ , $[{\bar 6}'m2']$ , , $[{\bar 4}'3m']$	14			73
9					EHH	HEE	$[{\bar 6} m2]$ ,	2
10				EH			432	1		19
11	$[{\bar 1}']$			EH			$[{\bar 1}']$ , , , , , , , , , $[{\bar 3}']$ , $[{\bar 3}'m']$ , $[{\bar 3}'m]$ , , , , $[m'{\bar 3}']$ , $[m'{\bar 3}'m']$	18		19
12					EHH		$[{\bar 4}3m]$	1		11
13					EHH		, $[{\bar 4}1']$ , , $[{\bar 4}2m1']$ , , $[{\bar 6}1']$ , , $[{\bar 6}m21']$ , , $[{\bar 4}3m1']$	10		11
14						HEE		1		11
15	$[{\bar 1}]$					HEE	, , , , $[{\bar 3} m]$ , , , , $[m{\bar 3}]$ , $[m{\bar 3} m']$	10		11
16	$[{\bar 1}']$						, , $[m'{\bar 3}'m]$	3		16
17								1
18	$[{\bar 1}]$						$[m{\bar 3} m]$	1
19	$[{\bar 1}, \,1', \,{\bar 1}']$						$[{\bar 1}1']$ , , , , , $[{\bar 3}1']$ , $[{\bar 3} m1']$ , , , $[m{\bar 3}1']$ , $[m{\bar 3} m1']$	11