Fermi-Dirac statistics is a quantum statistical distribution that describes the behavior of indistinguishable fermions, particles that follow the Pauli exclusion principle. This principle states that no two fermions can occupy the same quantum state simultaneously, leading to unique occupancy patterns in systems such as electrons in metals. Fermi-Dirac statistics is essential for understanding phenomena in quantum mechanics and solid-state physics, particularly in the behavior of electrons and other half-integer spin particles at varying energy levels.
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