Pauli exclusion principle
E31547
The Pauli exclusion principle is a fundamental quantum rule stating that no two identical fermions can occupy the same quantum state simultaneously, underpinning the structure of atoms and the behavior of matter.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Pauli exclusion principle canonical | 13 |
| Pauli exclusion principle for electrons | 1 |
| Pauli principle | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T243884 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Pauli exclusion principle Context triple: [Fermi–Dirac statistics, basedOnPrinciple, Pauli exclusion principle]
-
A.
Fermi–Dirac statistics
Fermi–Dirac statistics is the quantum statistical framework that describes the distribution and behavior of indistinguishable fermions, such as electrons, which obey the Pauli exclusion principle.
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B.
Franck–Condon principle
The Franck–Condon principle is a rule in molecular spectroscopy that explains the intensity distribution of vibronic transitions by assuming electronic transitions occur much faster than nuclear motion, making vertical transitions between vibrational states most probable.
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C.
Bose–Einstein statistics
Bose–Einstein statistics is a quantum statistical framework that describes the distribution and collective behavior of indistinguishable bosons, underpinning phenomena such as Bose–Einstein condensation.
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D.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
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E.
Born–Oppenheimer approximation
The Born–Oppenheimer approximation is a fundamental method in molecular quantum mechanics that simplifies calculations by treating nuclear motion as much slower than electronic motion, allowing their behaviors to be separated.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Pauli exclusion principle Target entity description: The Pauli exclusion principle is a fundamental quantum rule stating that no two identical fermions can occupy the same quantum state simultaneously, underpinning the structure of atoms and the behavior of matter.
-
A.
Fermi–Dirac statistics
Fermi–Dirac statistics is the quantum statistical framework that describes the distribution and behavior of indistinguishable fermions, such as electrons, which obey the Pauli exclusion principle.
-
B.
Franck–Condon principle
The Franck–Condon principle is a rule in molecular spectroscopy that explains the intensity distribution of vibronic transitions by assuming electronic transitions occur much faster than nuclear motion, making vertical transitions between vibrational states most probable.
-
C.
Bose–Einstein statistics
Bose–Einstein statistics is a quantum statistical framework that describes the distribution and collective behavior of indistinguishable bosons, underpinning phenomena such as Bose–Einstein condensation.
-
D.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
-
E.
Born–Oppenheimer approximation
The Born–Oppenheimer approximation is a fundamental method in molecular quantum mechanics that simplifies calculations by treating nuclear motion as much slower than electronic motion, allowing their behaviors to be separated.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
fermion rule
ⓘ
physical law ⓘ principle of quantum mechanics ⓘ |
| appliesIn |
astrophysics
ⓘ
atomic physics ⓘ condensed matter physics ⓘ nuclear physics ⓘ |
| appliesTo | fermion ⓘ |
| category |
fermion statistics rule
ⓘ
quantum mechanical principle ⓘ |
| concernsProperty |
indistinguishability of particles
ⓘ
quantum state ⓘ spin ⓘ |
| contrastsWith |
Bose–Einstein statistics
ⓘ
bosonic occupation of same state by many particles ⓘ |
| doesNotApplyTo | boson ⓘ |
| formulatedBy | Wolfgang Pauli ⓘ |
| formulationYear | 1925 ⓘ |
| hasConsequence |
Fermi–Dirac statistics
ⓘ
band structure in solids ⓘ degeneracy pressure in neutron stars ⓘ degeneracy pressure in white dwarfs ⓘ electronic shell structure of atoms ⓘ periodic table structure ⓘ stability of ordinary matter ⓘ |
| holdsFor |
any half-integer spin particle
ⓘ
electrons ⓘ neutrons ⓘ protons ⓘ quarks ⓘ |
| implies | antisymmetric total wavefunction for identical fermions ⓘ |
| isBasisFor |
Fermi gas
ⓘ
surface form:
Fermi gas model
explanation of chemical valence ⓘ explanation of periodic trends ⓘ shell model of the atom ⓘ |
| mathematicalForm | antisymmetry of many-fermion wavefunction under particle exchange ⓘ |
| namedAfter | Wolfgang Pauli ⓘ |
| relatedTo |
Fermi–Dirac statistics
ⓘ
surface form:
Fermi–Dirac distribution
atomic orbitals ⓘ electron configuration ⓘ spin–statistics theorem ⓘ |
| requires | unique set of quantum numbers for each electron in an atom ⓘ |
| states | no two identical fermions can occupy the same quantum state simultaneously ⓘ |
| usedIn |
Hartree–Fock method
ⓘ
density functional theory ⓘ solid-state band calculations ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Pauli exclusion principle Description of subject: The Pauli exclusion principle is a fundamental quantum rule stating that no two identical fermions can occupy the same quantum state simultaneously, underpinning the structure of atoms and the behavior of matter.
Referenced by (15)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Pauli principle
subject surface form:
boson
this entity surface form:
Pauli exclusion principle for electrons