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. 283

Table 2.1.3.3 

G. Eckolda*

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

Table 2.1.3.3 | top | pdf |
Character table of the point group [4mm]

[4mm] Symmetry operation
E [D_{90}^z ] [D_{180}^z] [D_{270}^z] [m_{x}] [m_{y}] [m_{ [{\bar 110}]}] [m_{ [{110}]}]
[\chi _T ] 30 2 −2 2 2 2 2 2
[\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
[\boldtau ^{(2)}] [{\pmatrix{ 1 & 0 \cr 0 & 1 \cr }} ] [{\pmatrix{ i & 0 \cr 0 & {- i} \cr }} ] [{\pmatrix{ {- 1}& 0 \cr 0 & {- 1} \cr }} ] [{\pmatrix{ {- i}& 0 \cr 0 & i \cr }}] [{\pmatrix{ 0 & 1 \cr 1 & 0 \cr }}] [{\pmatrix{ 0 & -1 \cr {-1}& 0 \cr }} ] [{\pmatrix{ 0 & -i \cr i & 0 \cr }} ] [{\pmatrix{ 1 & i \cr -i & 0 \cr }} ]
[\chi _{\boldtau _{}^{(2)}} ] 2 0 −2 0 0 0 0 0