## Reduction formula for point group C_{5v}

Your representation

E |
2C_{5} (z) |
2(C_{5})^{2} |
5_{v} |

60 |
0.0000 |
-0.0000 |
4 |

can be reduced to

A_{1} |
A_{2} |
E_{1} |
E_{2} |

8 |
4 |
12 |
12 |

Substraction of translational and rotational contributions results in

A_{1} |
A_{2} |
E_{1} |
E_{2} |

7 |
3 |
10 |
12 |

###
Force field analysis

Infrared and Raman activities (harmonic approximation)
Method |
A_{1} |
A_{2} |
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_{1} |
A_{2} |
E_{1} |
E_{2} |

linear |
7 |
3 |
10 |
12 |

quadratic |
167 |
132 |
298 |
295 |

cubic |
2830 |
2710 |
5544 |
5546 |

quartic |
39807 |
39197 |
79003 |
79000 |

Number of independant internal coordinates |
7 |

### Literature

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

The Numbers of Structural Parameters and Potential Constants of Molecules