Vibrational temperature

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

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

where $k_B$ is Boltzmann's constant

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

Molecule	$\tilde{v}$ (cm^-1)	$\theta_{vib}$ (K)
N₂	2446	3521
O₂	1568	2256
F₂	917	1320
HF	4138	5957
HCl	2991	4303

References

Statistical thermodynamics University Arizona

See also

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