# Thermal de Broglie wavelength (Massive Particles)

## Description

The thermal de Broglie wavelength is the average de Broglie wavelength of the gas particles in an ideal gas at the specified temperature. We can take the average interparticle spacing in the gas to be approximately (V/N)1/3 where V is the volume and N is the number of particles. When the thermal de Broglie wavelength is much smaller than the interparticle distance, the gas can be considered to be a classical or Maxwell–Boltzmann gas. For a free ideal gas of massive particles (with no internal degrees of freedom) in equilibrium, the thermal de Broglie wavelength can be obtained through the standard de Broglie wavelength.

Related formulas## Variables

Λ | Thermal de Broglie wavelength (m) |

h | Planck constant |

m | The mass of the gas particle (kg) |

k | Boltzmann constant |

T | Absolute temperature (K) |