Bilbao Crystallographic Server Representations |
(1): Notation of the irreps according to Bradley CJ and Cracknell AP, (1972) The Mathematical Theory of Symmetry in Solids. Oxford: Clarendon Press. |
(2): Notation of the irreps according to Bradley CJ and Cracknell AP, (1972) The Mathematical Theory of Symmetry in Solids. Oxford: Clarendon Press, based on Mulliken RS (1933) Phys. Rev. 43, 279-302. |
(3): Notation of the irreps according to A. P. Cracknell, B. L. Davies, S. C. Miller and W. F. Love (1979) Kronecher Product Tables, 1, General Introduction and Tables of Irreducible Representations of Space groups. New York: IFI/Plenum, for the GM point. |
C_{1}: 1 |
C_{2}: 3^{+}_{001}, 3^{-}_{001} |
C_{3}: 2_{001}, ^{d}2_{001} |
C_{4}: 6^{-}_{001}, 6^{+}_{001} |
C_{5}: 2_{110}, 2_{100}, 2_{010}, ^{d}2_{110}, ^{d}2_{100}, ^{d}2_{010} |
C_{6}: 2_{1-10}, 2_{120}, 2_{210}, ^{d}2_{1-10}, ^{d}2_{120}, ^{d}2_{210} |
C_{7}: ^{d}1_{} |
C_{8}: ^{d}3^{+}_{001}, ^{d}3^{-}_{001} |
C_{9}: ^{d}6^{-}_{001}, ^{d}6^{+}_{001} |
C_{10}: -1_{} |
C_{11}: -3^{+}_{001}, -3^{-}_{001} |
C_{12}: m_{001}, ^{d}m_{001} |
C_{13}: -6^{-}_{001}, -6^{+}_{001} |
C_{14}: m_{110}, m_{100}, m_{010}, ^{d}m_{110}, ^{d}m_{100}, ^{d}m_{010} |
C_{15}: m_{1-10}, m_{120}, m_{210}, ^{d}m_{1-10}, ^{d}m_{120}, ^{d}m_{210} |
C_{16}: ^{d}-1_{} |
C_{17}: ^{d}-3^{+}_{001}, ^{d}-3^{-}_{001} |
C_{18}: ^{d}-6^{-}_{001}, ^{d}-6^{+}_{001} |
Bilbao Crystallographic Server http://www.cryst.ehu.es |
For comments, please mail to administrador.bcs@ehu.eus |