Statistical thermodynamics MOC

Fermi-Dirac statistics

Fermi-Dirac statistics is applicable to a system of identical and indistinguishable fermions, i.e. particles obeying the Pauli exclusion principle and thus unable to occupy the same states. A unique microstate is therefore labelled by every combination of occupation numbers for each particle state , such that all occupation numbers add to ,

and the energy of such a microstate is given by

Hence the canonical partition function is given by

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