Bose-Einstein Distribution Calculator

Calculate the average occupation number for bosons at a given energy and temperature.

Energy Level (eV)

Temperature (K)

Chemical Potential μ (eV)

μ = 0 for photons and phonons

Degeneracy (g)

Average Occupation Number: 2.1352e-2

Exponent (E - μ)/kT: 3.8677

Regime: Quantum

Maxwell-Boltzmann Approximation: 2.0905e-2

kT: 0.025855 eV

Thermal de Broglie Wavelength (electron): 4.3035 nm

n(E) = g / (exp((E - μ)/kT) - 1)

For bosons (integer spin particles): photons, phonons, mesons, W/Z bosons, Higgs

No restriction on occupation number (multiple bosons can occupy same state)

At low temperature: Bose-Einstein condensation occurs