Fermi function - Example
- Prove that the probability of occupying an energy level below the
fermi energy equals the probability that an energy level above the
Fermi energy and equally far away from the Fermi energy is not occupied.
Answer: The probability of occupying an energy level at
E = EF -
DE equals:
f(E) = 1/(1 + exp(-DE/kTT)
which also equals
f(E) = exp(DE/kT)/
(exp(DE/kT) + 1) =
1 - 1/(1 + exp(DE/kT)
which equals the probability that the energy level
E = EF +
DE is not occupied.
Examples
© Bart J. Van Zeghbroeck, 1997