## Reduction formula for point group C_{6}

Your representation

E |
C_{6} |
C_{3} |
C_{2} |
(C_{3})^{2} |
(C_{6})^{5} |

36 |
0 |
0 |
0 |
0 |
0 |

can be reduced to

Substraction of translational and rotational contributions results in

###
Force field analysis

Infrared and Raman activities (harmonic approximation)
Method |
A |
B |
E_{1} |
E_{2} |

Infrared |
+ |
- |
+ |
- |

Raman |
+ |
- |
+ |
+ |

No. 1 : Total number of force constants .

No. 2 : Total number of force constants k.

No. 3 : Total number of nonvanishing force constants k.

Symmetry properties of force field parameters
Force field |
A |
B |
E_{1} |
E_{2} |

linear |
4 |
6 |
4 |
6 |

quadratic |
83 |
72 |
76 |
79 |

cubic |
832 |
828 |
818 |
832 |

quartic |
6848 |
6792 |
6796 |
6844 |

Number of independant internal coordinates |
4 |

### Literature

- J.K.G. Watson, J. Mol. Spec.
**41** 229 (1972)

The Numbers of Structural Parameters and Potential Constants of Molecules