Boltzmann factor

The Boltzmann factor of any energy $U$ is defined by the negative exponential of the ratio of the energy to the thermal energy $k_{B}T$:

$f(U)=\exp \left(-{\frac {U}{k_{B}T}}\right)$

where

• $k_{B}$ is the Boltzmann constant.
• $T$ is the temperature.

See also

• Mayer f-function