Vibrational temperature

The vibrational temperature is commonly used in thermodynamics, to simplify certain equations. It has units of temperature and is defined as
 * $$\theta_\text{vib}= \frac {h \tilde{\nu} c}{k_\text{B}} = \frac{h\nu}{k_\text{B}}$$

where $$k_\text{B}$$ is the Boltzmann constant, $$c$$ is the speed of light, and $$\nu$$ (Greek letter nu) is the characteristic frequency of the oscillator.

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