Table 1.5.3.6

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. 122

Table 1.5.3.6

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 1.5.3.6 | top | pdf |
Characters of the irreducible representations of the group $[{\bi D}_{3d}=\bar{3}m]$ and corresponding magnetic structures

Representation	Magnetic vector components		Magnetic structure	Magnetic point group
Representation	Magnetic vector components	$[3{\sigma}_d]$	Magnetic structure	Magnetic point group
$[\Gamma_1]$	$[l_{3z}]$		$[{\bi C}_z]$	$[{\bi D}_{3d}= \bar{3}m]$
$[\Gamma_2]$			$[{\bi F}_z]$	$[{\bi D}_{3d}({\bi S}_6)=\bar{3}m']$
$[\Gamma_3]$	$[l_{1z}]$		$[{\bi A}_z]$	$[{\bi D}_{3d}({\bi C}_{3v})=\bar{3}'m]$
$[\Gamma_4]$	$[l_{2z}]$		$[{\bi G}_z]$	$[{\bi D}_{3d}({\bi D}_3)=\bar{3}'m']$
$[\Gamma_5]$	$[l_{3x}\quad m_y]$		$[{\bi C}_x \quad {\bi F}_y]$	$[{\bi C}_{2h}({\bi C}_i)=2'/m']$
	$[m_x\quad l_{3y}]$		$[{\bi C}_y \quad {\bi F}_x]$	$[{\bi C}_{2h}=2/m]$
$[\Gamma_6]$	$[l_{1x}\quad l_{2y}]$		$[{\bi A}_x \quad {\bi G}_y]$	$[{\bi C}_{2h}({\bi C}_2)=2/m']$
	$[l_{2x}\quad l_{1y}]$		$[{\bi A}_y \quad {\bi G}_x]$	$[{\bi C}_{2h}({\bi C}_s)=2'/m]$