Pauli exclusion principle

The Pauli exclusion principle states that identical fermions cannot occupy the same quantum state simultaneously. Proposed by Wolfgang Pauli in 1925 to explain electron arrangements in atoms, the principle helps account for the structure of the periodic table and many properties of matter. It applies to fermions such as electrons, protons and neutrons, but not to bosons such as photons.

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Statement of the principle

The Pauli exclusion principle says that no two identical fermions can occupy the same complete quantum state at the same time. For electrons in an atom, a state is specified by a set of quantum numbers, including the electron's spin state. Thus, two electrons may share an orbital if they differ in spin, but cannot have identical values for all the quantum numbers that define their states. In quantum mechanics, this restriction is expressed through the antisymmetric character of the combined state of identical fermions.

Origin in atomic physics

Wolfgang Pauli introduced the principle in 1925 while addressing puzzling patterns in atomic spectra and the arrangement of electrons in atomic shells. Adding a fourth quantum number to describe an electron's state allowed Pauli to formulate a rule that explained why electrons do not all accumulate in the lowest available atomic state. The resulting account helped make the structure of the periodic table intelligible. Later in 1925, George Uhlenbeck and Samuel Goudsmit interpreted the additional electron property as spin.

Fermions and bosons

The principle is not limited to electrons or atoms. It applies to identical particles with half-integer spin, called fermions; protons and neutrons are examples. Particles with integer spin, called bosons, do not obey the exclusion principle and can share a quantum state. These different rules are reflected in Fermi–Dirac and Bose–Einstein statistics, respectively. The principle therefore constrains how fermions occupy states in many systems, from atomic nuclei to materials.

Consequences and significance

Electron shell structure and the recurring chemical patterns of the periodic table depend on the exclusion of identical electrons from the same state. The principle also contributes to explanations of the electrical and magnetic properties of materials and the structure of atomic nuclei. In 1945, Pauli received the Nobel Prize in Physics for the discovery of the exclusion principle. The rule is a fundamental feature of quantum theory, rather than a classical force that pushes particles apart.

Key facts

Proposed
Wolfgang Pauli formulated the principle in 1925.
Applies to
Identical fermions, including electrons, protons and neutrons.
Does not apply to
Bosons, such as photons, which may occupy the same quantum state.
Importance
It helps explain atomic electron configurations, the periodic table and properties of matter.

Timeline

  1. 1925

    Pauli introduced the exclusion principle to explain electron configurations in atoms.

  2. 1925

    George Uhlenbeck and Samuel Goudsmit interpreted the additional electron quantum property as spin.

  3. 1945

    Pauli received the Nobel Prize in Physics for discovering the exclusion principle.

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References

  1. 1.
    Wolfgang Pauli – Facts

    Nobel Prize · other · reliability: unverified · retrieved 29 October 2026

    Supports: Pauli's 1925 formulation, its application to electrons and nuclei, and his 1945 Nobel Prize.

  2. 2.
    January 1925: Wolfgang Pauli announces the exclusion principle

    American Physical Society · other · reliability: unverified · retrieved 29 October 2026

    Supports: History of Pauli's proposal and how its application developed from electrons to fermions generally.

  3. 3.
    The Pauli principle

    ETH Library, ETH Zurich · other · reliability: unverified · retrieved 29 October 2026

    Supports: Explains the principle's atomic origins and its distinction between fermions and bosons.

  4. 4.
    Nobel Prize in Physics 1945 – Presentation Speech

    Nobel Prize · other · reliability: unverified · retrieved 29 October 2026

    Supports: Describes the principle's role in electronic configuration and the properties of elements and nuclei.

References are suggested by the research engine and may be incomplete. Unverified URLs are omitted rather than guessed.

Article history

  1. Version 129 October 2026 · EditorCreated by Zapia