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    Fermi-Dirac Distribution

    Equation

    (n_i)^_ = (2 s + 1)/(exp((E_i - μ)/(k T)) + 1) | (n_i)^_ | occupation number s | particle spin T | temperature μ | chemical potential energy E_i | state energy k | Boltzmann constant (≈ 1.381×10^-23 J/K)

    Input values

    particle spin | 1/2 temperature | 300 K (kelvins) chemical potential energy | 10 eV (electronvolts) state energy | 5 eV (electronvolts)

    Result

    occupation number | 2

    Additional parameters

    total number of particles | 20 average energy | 5 eV (electronvolts) percentage of particles below state energy | 50%

    State occupation number vs. temperature

    State occupation number vs. temperature

    State occupation number vs. energy

    State occupation number vs. energy

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