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The **vibrational temperature** is commonly used in thermodynamics, to simplify certain equations. It has units of temperature and is defined as

where is the Boltzmann constant, is the speed of light, and (Greek letter nu) is the characteristic frequency of the oscillator.

The vibrational temperature is used commonly when finding the vibrational partition function.

Molecule | ||
---|---|---|

N_{2} |
2446 cm^{−1} |
3521 K |

O_{2} |
1568 cm^{−1} |
2256 K |

F_{2} |
917 cm^{−1} |
1320 K |

HF | 4138 cm^{−1} |
5957 K |

HCl | 2991 cm^{−1} |
4303 K |

- Statistical thermodynamics University Arizona

- Rotational temperature
- Rotational spectroscopy
- Vibrational spectroscopy
- Infrared spectroscopy
- Spectroscopy