Fermi-Dirac Statistics
Fermi-Dirac Statistics is a statistical model that describes the distribution of particles, specifically fermions, which are particles that follow the Pauli exclusion principle. This principle states that no two identical fermions can occupy the same quantum state simultaneously. As a result, the occupancy of energy levels by fermions, such as electrons in atoms, is determined by their energy and temperature.
In Fermi-Dirac Statistics, the probability of a fermion occupying a particular energy state is influenced by the temperature and the energy of that state. At absolute zero, all fermions fill the lowest available energy states, creating a characteristic distribution that changes with increasing temperature. This model is essential in understanding the behavior of electrons in metals and semiconductors.