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

• Rotational temperature
• Rotational spectroscopy
• Vibrational spectroscopy
• Infrared spectroscopy
• Spectroscopy