Vibrational temperature

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

$\theta _{vib}={\frac {h{\tilde {\nu }}c}{k_{B}}}={\frac {h\nu }{k_{B}}}$

where $k_{B}$ is Boltzmann's 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.

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