It is defined as the highest energy level occupied by the electron at OK in metal.
SIGNIFICANCE BETWEEN FERMI ENERGY AND VOLUME OF THE MATERIAL
Fermi
Energy
It
is defined as the highest energy level occupied by the electron at OK in metal.
In
terms of distribution of energy, solids have wide energy bands whereas atoms
have thin, discrete energy states.
Now
rearranging eqn (4) for the Fermi energy of a conductor, we have

Here,
n is the only variable and all the other terms are constants. Thus, Fermi
energy of the conductor just depends on the number of free electrons per unit
volume ie., electron density ne

As
the electron density is a property of the material, Fermi energy does not vary
with the material's size. EF is the same for a particle of a
solid as it is for a solid itself.
This
is the case applicable for conductors, insulators and semiconductors. The average
spacing between energy states is inversely proportional to the volume of the
solid
ΔE
∝ 1 / ɑ3 ...(7)
Physics for Electrical Engineering: Unit V: Nano Devices : Tag: : Nano Devices - Significance between fermi energy and volume of the material
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