C_{2} |
E | C_{2} |
rotations |
functions |
functions |
---|---|---|---|---|---|

A | +1 | +1 | z, R_{z} |
x^{2}, y^{2}, z^{2}, xy |
z^{3}, xyz, y^{2}z, x^{2}z |

B | +1 | -1 | x, y, R_{x}, R_{y} |
yz, xz | xz^{2}, yz^{2}, x^{2}y, xy^{2}, x^{3}, y^{3} |

Number of symmetry elements | h = 2 |

Number of irreducible representations | n = 2 |

Abelian group | yes |

Optical Isomerism (Chirality) | yes |

Hydrogenperoxide | 1,3-Dichloroallene | Cyclopentane (half-chair) |

dipole (p) | A+2B |
---|---|

quadrupole (d) | 3A+2B |

octopole (f) | 3A+4B |

hexadecapole (g) | 5A+4B |

32-pole (h) | 5A+6B |

64-pole (i) | 7A+6B |

128-pole (j) | 7A+8B |

256-pole(k) | 9A+8B |

512-pole (l) | 9A+10B |

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

Multipoles and Symmetry