Table 1.5.2.4

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. 112

Table 1.5.2.4

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 1.5.2.4 | top | pdf |
List of the magnetic classes in which ferromagnetism is admitted

(a) Triclinic

Symbol of symmetry class		Allowed direction of M_s
Schoenflies	Hermann–Mauguin	Allowed direction of M_s
$[{{\bi C}_{1}}]$		Any
$[{{\bi C}_{i}}]$	$[{\bar{1}}]$	Any

(b) Monoclinic

Symbol of symmetry class		Allowed direction of M_s
Schoenflies	Hermann–Mauguin	Allowed direction of M_s
$[{{\bi C}_{2}}]$		$[{ \parallel {2}}]$
$[{{\bi C}_{2}({\bi C}_{1})}]$		$[{\perp{2'}}]$
$[{{\bi C}_{s}={\bi C}_{1h}}]$		$[{\perp{m}}]$
$[{{\bi C}_{s}({\bi C}_{1})}]$		$[{ \parallel {m'}}]$
$[{{\bi C}_{2h}}]$		$[{ \parallel {2}}]$
$[{{\bi C}_{2h}({\bi C}_{i})}]$		$[{ \parallel {m'}}]$

Symbol of symmetry class		Allowed direction of M_s
Schoenflies	Hermann–Mauguin	Allowed direction of M_s
$[{{\bi D}_{2}({\bi C}_{2})}]$		$[{ \parallel {2}}]$
$[{{\bi C}_{2v}({\bi C}_{2})}]$		$[{ \parallel {2}}]$
$[{{\bi C}_{2v}({\bi C}_{s})}]$		$[{\perp{m}}]$
$[{{\bi D}_{2h}({\bi C}_{2h})}]$		$[{\perp{m}}]$

(d) Tetragonal

Symbol of symmetry class		Allowed direction of M_s
Schoenflies	Hermann–Mauguin	Allowed direction of M_s
$[{{\bi C}_{4}}]$		$[{ \parallel {4}}]$
$[{{\bi S}_{4}}]$	$[{\bar{4}}]$	$[{ \parallel {\bar{4}}}]$
$[{{\bi C}_{4h}}]$		$[{ \parallel {4}}]$
$[{{\bi D}_{4}({\bi C}_{4})}]$		$[{ \parallel {4}}]$
$[{{\bi C}_{4v}({\bi C}_{4})}]$		$[{ \parallel {4}}]$
$[{{\bi D}_{2d}({\bi S}_{4})}]$	$[{{\bar{4}} 2'm'}]$	$[{ \parallel {\bar{4}}}]$
$[{{\bi D}_{4h}({\bi C}_{4h})}]$		$[{ \parallel {4}}]$

(e) Trigonal

Symbol of symmetry class		Allowed direction of M_s
Schoenflies	Hermann–Mauguin	Allowed direction of M_s
$[{{\bi C}_{3}}]$		$[{ \parallel {3}}]$
$[{{\bi S}_{6}}]$	$[{\bar{3}}]$	$[{ \parallel {3}}]$
$[{{\bi D}_{3}({\bi C}_{3})}]$		$[{ \parallel {3}}]$
$[{{\bi C}_{3v}({\bi C}_{3})}]$		$[{ \parallel {3}}]$
$[{{\bi D}_{3d}({\bi S}_{6})}]$	$[{{\bar{3}} m'}]$	$[{ \parallel {3}}]$

(f) Hexagonal

Symbol of symmetry class		Allowed direction of M_s
Schoenflies	Hermann–Mauguin	Allowed direction of M_s
$[{{\bi C}_{6}}]$		$[{ \parallel {6}}]$
$[{{\bi C}_{3h}}]$	$[{\bar{6}}]$	$[{ \parallel {\bar{6}}}]$
$[{{\bi C}_{6h}}]$		$[{ \parallel {6}}]$
$[{{\bi D}_{6}({\bi C}_{6})}]$		$[{ \parallel {6}}]$
$[{{\bi C}_{6v}({\bi C}_{6})}]$		$[{ \parallel {6}}]$
$[{{\bi D}_{3h}({\bi C}_{3h})}]$	$[{{\bar{6}} m'2'}]$	$[{ \parallel {\bar{6}}}]$
$[{{\bi D}_{6h}({\bi C}_{6h})}]$		$[{ \parallel {6}}]$