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

International Tables for Crystallography (2006). Vol. D. ch. 1.5, p. 109

Table 1.5.2.2 

A. S. Borovik-Romanova and H. Grimmerb*

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 1.5.2.2 | top | pdf |
Comparison of different symbols for the elements of magnetic point groups

Magnetic point group Elements
Schoenflies Hermann–Mauguin
[{\bi D}_{4R}= 4221' ] [E, C_{2}, 2C_{4}, 2U_{2}, 2U_{2}^{a},] [R, RC_{2},2RC_{4}, 2RU_{2}, 2RU_{2}^{a}] [1, 2_{x}, 2_{y}, 2_{z}, 2_{xy}, 2_{-xy}, \pm4_{z}, ] [1',2'_{x}, 2'_{y}, 2'_{z}, 2'_{xy}, 2'_{-xy}, \pm4'_z]
[{\bi D}_{4} = 422 ] [E, C_{2}, 2C_{4}, 2U_{2}, 2U_{2}^{a}] [1, 2_{x}, 2_{y}, 2_{z}, 2_{xy}, 2_{-xy}, \pm4_{z}]
[{\bi D}_{4}({\bi C}_{4}) = 42'2' ] [E, C_{2}, 2C_{4}, 2RU_{2}, 2RU_{2}^{a}] [1, 2_{z}, \pm4_{z}, 2'_{x}, 2'_{y}, 2'_{xy}, 2'_{-xy}]
[{\bi D}_{4}({\bi D}_{2}) = 4'22' ] [E, C_{2}^{z}, C_{2}^{y}, C_{2}^{x}, 2RU_{2}^{a}, 2RC_{4}] [1, 2_{x}, 2_{y}, 2_{z}, 2'_{xy}, 2'_{-xy}, \pm4'_{z}]