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

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. D. ch. 2.1, p. 291

Table 2.1.3.8 

G. Eckolda*

a Institut für Physikalische Chemie, Universität Göttingen, Tammannstrasse 6, D-37077 Göttingen, Germany
Correspondence e-mail: geckold@gwdg.de

Table 2.1.3.8 | top | pdf |
Character table of the space group [P4mm] for [{\bf q}={\bf 0}] (the [\Gamma] point)

[P4mm] Symmetry operation
E [D_{90}^z ] [D_{180}^z] [ D_{270}^z ] [m_x ] [m_y ] [m_{ [{\bar 110}]}] [m_{ [{110}]}]
[\chi _{\tau _{}^{(1^ +)}} ] 1 1 1 1 1 1 1 1
[\chi _{\tau _{}^{(1^ -)}} ] 1 1 1 1 [-1 ] [-1 ] [-1 ] [-1 ]
[\chi _{\tau _{}^{(3^ +)}} ] 1 [-1 ] 1 [-1 ] 1 1 [-1 ] [-1 ]
[\chi _{\tau^{(3^ -)} } ] 1 [-1 ] 1 [-1 ] [-1 ] [-1 ] 1 1
[\chi _{\boldtau ^{(2)}} ] 2 0 [-2 ] 0 0 0 0 0
[\boldtau{_v}] [\,\,\,{\pmatrix{ 1 & 0 & 0 \cr 0 & 1 & 0 \cr 0 & 0 & 1 \cr }} ] [\,\,\,{\pmatrix{ 0 & {- 1}& 0 \cr 1 & 0 & 0 \cr 0 & 0 & 1 \cr }}] [\,\,\,{\pmatrix{ {- 1}& 0 & 0 \cr 0 & {- 1}& 0 \cr 0 & 0 & 1 \cr }}] [\,\,\,{\pmatrix{ 0 & 1 & 0 \cr {- 1}& 0 & 0 \cr 0 & 0 & 1 \cr }} ] [\,\,\,{\pmatrix{ {- 1}& 0 & 0 \cr 0 & 1 & 0 \cr 0 & 0 & 1 \cr }} ] [\,\,\,{\pmatrix{ 1 & 0 & 0 \cr 0 & {- 1}& 0 \cr 0 & 0 & 1 \cr }}] [\,\,\,{\pmatrix{ 0 & 1 & 0 \cr 1 & 0 & 0 \cr 0 & 0 & 1 \cr }} ] [\,\,\,{\pmatrix{ 0 & -1 & 0 \cr -1 & 0 & 0 \cr 0 & 0 & 1 \cr }}\,\,\,\,\,\,]
[\chi _{\boldtau _v } ] 3 1 [-1 ] 1 1 1 1 1
[\chi _{\boldtau _T } ] 6 0 2 0 2 2 2 2