Fermi-Dirac Distribution Calculator

Calculate the probability of occupation for fermions at a given energy and temperature.

Cu: 7.0 eV, Au: 5.5 eV, Na: 3.2 eV

2 for spin-1/2 particles (electrons)

Results

Occupation Probability f(E): 1.000000

Average Occupation Number: 2.000000

Regime: Classical tail


Exponent (E - EF)/kT: -19.3387

kT: 0.025855 eV

Fermi Temperature: 63818 K

T/TF (degeneracy parameter): 4.7009e-3

Fermi-Dirac Distribution

f(E) = 1 / (exp((E - EF)/kT) + 1)

For fermions (half-integer spin): electrons, protons, neutrons, quarks

Pauli exclusion: maximum one fermion per quantum state

At E = EF: f(EF) = 0.5 (at any T > 0)