C_{i} |
E | i | rotations |
functions |
functions |
---|---|---|---|---|---|

A_{g} |
+1 | +1 | R_{x}, R_{y}, R_{z} |
x^{2}, y^{2}, z^{2}, xy, xz, yz |
- |

A_{u} |
+1 | -1 | x, y, z | - | x^{3}, y^{3}, z^{3}, x^{2}y, x^{2}z, y^{2}x, y^{2}z, z^{2}x, z^{2}y, xyz |

Number of symmetry elements | h = 2 |

Number of irreducible representations | n = 2 |

Abelian group | yes |

Optical Isomerism (Chirality) | no |

dipole (p) | 3A_{u} |
---|---|

quadrupole (d) | 5A_{g} |

octopole (f) | 7A_{u} |

hexadecapole (g) | 9A_{g} |

32-pole (h) | 11A_{u} |

64-pole (i) | 13A_{g} |

128-pole (j) | 15A_{u} |

256-pole(k) | 17A_{g} |

512-pole (l) | 19A_{u} |

- A. Gelessus, W. Thiel and W. Weber, J. Chem. Educ.
**72**, 505 (1995)

Multipoles and Symmetry