Fermi Dirac Distribution Calculator
Posted by Dinesh onOnline thermodynamics Fermi Dirac calculator to calculate the average number of fermions in a single-particle state.
What is Fermi Dirac Distribution?
In quantum statistics, Fermi-Dirac describes a distribution of particles over energy states in systems consisting of many identical particles that obey the Pauli exclusion principle. It is named after Enrico Fermi and Paul Dirac, each of whom discovered the method independently.
The Fermi-Dirac distribution applies to fermions, particles with half-integer spin which must obey the Pauli exclusion principle. Each type of distribution function has a normalization term multiplying the exponential in the denominator which may be temperature dependent.
Fermi Dirac Distribution Calculation
Formula:
where,
nj = the average number of fermions in a single-particle state j,
e = Base of the natural logarithm (2.71828182845904523536),
ϵj = The energy of the single-particle state,
μ = The total chemical potential,
k = Boltzmann constant (1.3806488e-23 J/K),
T = The absolute temperature
nj = the average number of fermions in a single-particle state j,
e = Base of the natural logarithm (2.71828182845904523536),
ϵj = The energy of the single-particle state,
μ = The total chemical potential,
k = Boltzmann constant (1.3806488e-23 J/K),
T = The absolute temperature