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. 119

Table 1.5.3.2 

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 1.5.3.2 | top | pdf |
Sign variation of the components of antiferromagnetic and ferromagnetic vectors during transformations of the group [\widetilde{\bi D}_{3d}^6] in rhombohedral crystals with four magnetic ions

Vector components Elements of symmetry
E [2C_3] [U^1_2] [U^2_2] [U^3_2] [\tilde{I}] [\tilde{\sigma}^1_d] [\tilde{\sigma}^2_d] [\tilde{\sigma}^3_d] [2\tilde{S}_6]
[1] [\pm 3_z] [2_x] [2_{\perp}^{(2)}] [2_{\perp}^{(3)}] [\tilde{\bar{1}}] [c_x] [c_{\perp}^{(2)}] [c_{\perp}^{(3)}] [\pm\tilde{\bar{3}}]
[l_{1x}] + 0 + 0 0 0 0 0
[l_{1y}] + 0 0 0 + 0 0 0
[l_{1z}] + + + + +
[l_{2x}] + 0 0 0 + 0 0 0
[l_{2y}] + 0 + 0 0 0 0 0
[l_{2z}] + + + + +
[l_{3x}] + 0 0 0 + 0 0 0
[l_{3y}] + 0 + 0 0 + + 0 0 0
[l_{3z}] + + + + + + + + + +
[m_x] + 0 + 0 0 + + 0 0 0
[m_y] + 0 0 0 + 0 0 0
[m_z] + + + +