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Fermi Level Calculator
Estimate the position of the intrinsic Fermi level relative to the conduction band edge in a semiconductor.
eV
K
×10¹⁹ cm⁻³
×10¹⁹ cm⁻³
What This Calculates
In semiconductor physics, the intrinsic Fermi level marks the reference energy level in an undoped semiconductor where electron and hole concentrations are equal. It typically sits near the middle of the band gap.
The Formula
Ei = Eg/2 + (kBT/2) × ln(Nv/Nc), measured above the valence band edge, where Eg is the band gap, kB is Boltzmann’s constant (in eV/K), T is temperature, and Nc and Nv are the effective densities of states in the conduction and valence bands.
For general educational purposes in semiconductor device physics.
Last reviewed August 2026