Formula Boltzmann distribution function Probability    Energy    Chemical potential    Temperature

Probability

Unit
The occupation probability indicates with which probability $$P$$ a state with energy $$W$$ at temperature $$T$$ is occupied by a particle (for example high temperature electron gas).

Energy

Unit
Energy of a gas particle

Chemical potential

Unit
Chemical potential indicates the change in internal energy when the number of particles of the classical gas changes.

Temperature

Unit
Absolute temperature of the gas.

Boltzmann constant

Unit
Boltzmann constant is a natural constant, which is used more often in statistical physics and thermodynamics. It has the value: $$k_{\text B} = 1.380 \, 649 \, \cdot\, 10^{-23} \, \frac{\text J}{\text K}$$.