Bilbao Crystallographic Server Representations |

_{1} | _{2} | _{3} | _{4} | _{5} | _{6} | _{7} | _{8} | _{9} | _{10} | _{11} | _{12} | _{13} | _{14} | _{15} | _{16} | _{17} | _{18} | |||

_{1}^{+} | _{1g} | _{1}^{+} | ||||||||||||||||||

_{1}^{-} | _{1u} | _{1}^{-} | ||||||||||||||||||

_{2}^{+} | _{2g} | _{2}^{+} | ||||||||||||||||||

_{2}^{-} | _{2u} | _{2}^{-} | ||||||||||||||||||

_{4}^{+} | _{2g} | _{3}^{+} | ||||||||||||||||||

_{4}^{-} | _{2u} | _{3}^{-} | ||||||||||||||||||

_{3}^{+} | _{1g} | _{4}^{+} | ||||||||||||||||||

_{3}^{-} | _{1u} | _{4}^{-} | ||||||||||||||||||

_{6}^{+} | _{2g} | _{5}^{+} | ||||||||||||||||||

_{6}^{-} | _{2u} | _{5}^{-} | ||||||||||||||||||

_{5}^{+} | _{1g} | _{6}^{+} | ||||||||||||||||||

_{5}^{-} | _{1u} | _{6}^{-} | ||||||||||||||||||

_{9}^{+} | _{3g} | _{7} | ||||||||||||||||||

_{8}^{+} | _{2g} | _{8} | ||||||||||||||||||

_{7}^{+} | _{1g} | _{9} | ||||||||||||||||||

_{9}^{-} | _{3u} | _{10} | ||||||||||||||||||

_{8}^{-} | _{2u} | _{11} | ||||||||||||||||||

_{7}^{-} | _{1u} | _{12} |

(1): Notation of the irreps according to Koster GF, Dimmok JO, Wheeler RG and Statz H, (1963) Properties of the thirty-two point groups, M.I.T. Press, Cambridge, Mass. |

(2): Notation of the irreps according to Mulliken RS (1933) Phys. Rev. 43, 279-302. |

(3): Notation of the irreps according to C. J. Bradley, A. P. Cracknell, |

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} |

The number in parenthesis after the label of the irrep indicates the "reality" of the irrep: (1) for real, (-1) for pseudoreal and (0) for complex representations.

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