# Maxwell–Boltzmann statistics

## Description

In statistical mechanics, Maxwell–Boltzmann statistics describes the average distribution of non-interacting material particles over various energy states in thermal equilibrium, and is applicable when the temperature is high enough or the particle density is low enough to render quantum effects negligible. The expected number of particles with energy for Maxwell–Boltzmann statistics can be measured by the chemical potential, the temperature and the degeneracy of energy level ( i.e. number of single-particle states with energy )

Related formulas## Variables

N_{j} | the number of particles in the set of states with energy ϵj (dimensionless) |

g_{j} | The degeneracy of energy level (dimensionless) |

e | e |

ϵ_{j} | The i-th energy level (J) |

μ | The chemical potential (J) |

k | Boltzmann constant |

T | The absolute temperature (K) |