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Fermi-Dirac distribution
This term is a highly specialized technical expression used exclusively within quantum mechanics and solid-state physics. It describes the statistical behavior of fermions, which are particles that obey the Pauli exclusion principle, meaning no two fermions can occupy the same quantum state simultaneously.
In a practical sense, this distribution is essential for understanding the electronic properties of metals and semiconductors. It explains how electrons fill energy levels from the lowest available state upward, creating a distinct boundary known as the Fermi level at absolute zero temperature.
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A probability distribution function that describes the occupancy of energy states by fermions, such as electrons, at a given temperature, based on the Pauli exclusion principle.
The Fermi-Dirac distribution determines the probability that a quantum state with energy E is occupied by an electron at temperature T.