Physics of Semiconductor Devices

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The Fermi energy of a metal

A metal has an electron density of 4.0E+27 electrons per cubic meter. Assume that the density of states for this metal can be described by the free electron model where,

Here m is the mass of an electron.

Calculate the Fermi energy at 0 K assuming that E = 0 is the bottom of the band.

EF = eV

The Fermi function is smeared out over a region of roughly 2kBT. What is 2kBT/EF for this metal at T = 300 K?

2kBT/EF =