Materials Science: Unit II(a): Electrical Properties of Materials

Fermi-Dirac Statistics

Definition, Formula

Fermi - Dirac statistics deals with the particles having half integral spin like electrons. They are known as Fermi particles or Fermions.

FERMI-DIRAC STATISTICS

Fermi - Dirac statistics deals with the particles having half integral spin like electrons. They are known as Fermi particles or Fermions.

Definition

Fermi distribution function gives the distribution of electrons among the various energy levels as a function of temperature.

It is a probability function F(E) of an electron occupancy for a given energy level at absolute temperature.

It is given by


where

E - Energy of the level whose occupancy is being considered

EF - Fermi energy level

k - Boltzmann's constant

T - Absolute temperature

The probability value F(E) lies between 0 and 1.

• If F(E) = 1, the energy level is occupied by an electron.

• If F(E) = 0, the energy level is vacant ie., it is not occupied by the electron.

• If F(E) = 0.5 or 1/2, then there is a 50% chance for the electron occupying in that energy level.

Materials Science: Unit II(a): Electrical Properties of Materials : Tag: : Definition, Formula - Fermi-Dirac Statistics