You need to know mu, which is probably in the part of the question you didn't bother to write. Wikipedia has several FD statistics curves; you'll need to decide which one is appropriate for your particular value of mu.
Enrico Fermi
Nuclear Science
university of Chicago
the highest energy level which an electron can occupy the valance band at 0k is called fermi energy level
chal bey
sss
A function specifying the probability that a member of an assembly of independent fermions, such as electrons in a semiconductor or metal, will occupy a certain energy state when thermal equilibrium exists.
There are two different kinds of particles (electrons, protons, neutrons, atoms, molecules). Each such particle has a so called "spin" which is quantum mechanical value. Depending on spin particles behave differently in the same conditions and can be described using two different distributions. First one is Bose-Einstein distribution for particles with integer spin. Second on is Fermi-Dirac distribution for particles with spin n/2 (where n is an integer number which can take values starting from 1 and higher).
An anyon is a particle which obeys a continum of quantum statistics, of which two are the Bose-Einstein and Fermi-Dirac statistics.
The Fermi level is also known as the electron chemical potential (μ), and is a constant appearing in the Fermi-Dirac distribution formula: F() = 1 / [1 + exp((-μ)/kT)] Even though the gap may not contain any electronic states, there may be some thermally excited holes in the valence band and electrons in the conduction band, with the occupancy given by the Fermi-Dirac (FD) function. By inspecting the FD function, it becomes clear that if a state existed at the Fermi level, it would have an occupancy of 1/[1 + exp(0)] = 1/[1+1] = 1/2. Lastly, do not confuse Fermi level with Fermi energy. One is the chemical potential of electrons, the other is the energy of the highest occupied state in a filled fermionic system. In semiconductor physics, the Fermi energy would coincide with the valence band maximum.
It would be difficult to understand the behavior of electrons without the Fermi Dirac statistics. Why in a metal, electrons can move freely to conduct the electric current and why their contribution in the same metal to the specific heat is negligible, as if their number become for an unknown reason, considerably reduced. We have here a problem of "statistical order" that can be explained only by using the Fermi Dirac statistics (the classical statical mechanics was unable to explain this phenomenon).
The Fermi level starts to change location when temperature reaches 300K as a room temperature and Fermi level will getting close to conduction band or valence band depending on energy band gap determines.
Bosons are particles that follow Bose-Einstein statistics, fermions are particles that follow Fermi-Dirac statistics. Another way of saying that is that fermions obey the Pauli exclusion principle and bosons do not.
1/2 independent from temperature
The spelling Fermi is an Italian surname, notably physicist Enrico Fermi (1901-1954).
Laura Fermi, an American author and wife of physicist Enrico Fermi, passed away on December 26, 1977.
EUR Fermi was created in 1955.