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Fermi energy

The Fermi energy EF is the energy of the highest filled energy level in the ground state of the free electron Fermi gas.

 


Explanation

For non-interacting identical spin-½ fermions in a three-dimensional (non-relativistic) system the Fermi energy is given by

where

    ℏ Reduced Planck constant
    m0 Restmass
    N Number of particles
    V Volume of the system

The Fermi energy is only defined at absolute zero.

 


History

The name Fermi energy is a tribute to the Italian physicist Enrico Fermi (1901 - 1954).


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