Wigner-Seitz radius r_s
E443152
The Wigner-Seitz radius r_s is a dimensionless parameter in condensed matter physics that quantifies the average spacing between electrons in an electron gas, commonly used to characterize correlation strength and phases such as the Wigner crystal.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Wigner-Seitz radius r_s canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4461522 — 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: Wigner-Seitz radius r_s Context triple: [Wigner crystal, characterizedBy, Wigner-Seitz radius r_s]
-
A.
Bohr radius
The Bohr radius is a fundamental physical constant that represents the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state.
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B.
Wigner crystal
A Wigner crystal is an ordered lattice of electrons that forms in low-density systems when their mutual Coulomb repulsion dominates over kinetic energy, leading to a crystalline arrangement of charge.
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C.
Fermi surface
The Fermi surface is the boundary in momentum space separating occupied from unoccupied electron states at zero temperature, crucial for determining a metal’s electronic and superconducting properties.
-
D.
Fermi gas
A Fermi gas is a quantum many-particle system composed of fermions that obey Fermi–Dirac statistics, often used to model electrons in metals, neutrons in neutron stars, and ultracold atomic gases.
-
E.
Rydberg constant
The Rydberg constant is a fundamental physical constant that characterizes the limiting value of the highest wavenumber (or lowest wavelength) of any photon that can be emitted from the hydrogen atom, playing a key role in atomic spectroscopy and quantum theory.
- 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: Wigner-Seitz radius r_s Target entity description: The Wigner-Seitz radius r_s is a dimensionless parameter in condensed matter physics that quantifies the average spacing between electrons in an electron gas, commonly used to characterize correlation strength and phases such as the Wigner crystal.
-
A.
Bohr radius
The Bohr radius is a fundamental physical constant that represents the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state.
-
B.
Wigner crystal
A Wigner crystal is an ordered lattice of electrons that forms in low-density systems when their mutual Coulomb repulsion dominates over kinetic energy, leading to a crystalline arrangement of charge.
-
C.
Fermi surface
The Fermi surface is the boundary in momentum space separating occupied from unoccupied electron states at zero temperature, crucial for determining a metal’s electronic and superconducting properties.
-
D.
Fermi gas
A Fermi gas is a quantum many-particle system composed of fermions that obey Fermi–Dirac statistics, often used to model electrons in metals, neutrons in neutron stars, and ultracold atomic gases.
-
E.
Rydberg constant
The Rydberg constant is a fundamental physical constant that characterizes the limiting value of the highest wavenumber (or lowest wavelength) of any photon that can be emitted from the hydrogen atom, playing a key role in atomic spectroscopy and quantum theory.
- F. None of above. chosen
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
condensed matter physics concept
ⓘ
dimensionless physical parameter ⓘ electron gas parameter ⓘ |
| alsoKnownAs | density parameter r_s ⓘ |
| appearsIn |
generalized gradient approximations
ⓘ
local density approximation ⓘ |
| appliesTo |
metallic electron systems
ⓘ
semiconductor two-dimensional electron gases ⓘ uniform electron gas ⓘ |
| characterizes |
Wigner crystal formation
ⓘ
correlation strength in an electron gas ⓘ degree of electronic correlations ⓘ phases of the electron gas ⓘ |
| comparedTo | Bohr radius a_0 ⓘ |
| controls |
onset of Wigner crystallization
ⓘ
relative importance of kinetic and potential energy in electron gas ⓘ strength of exchange and correlation effects ⓘ |
| definedBy |
4/3 π r_s^3 = 1/n in three dimensions
ⓘ
n = 3/(4π r_s^3) in three dimensions ⓘ π r_s^2 = 1/n in two dimensions ⓘ |
| definedIn | atomic units ⓘ |
| definedOver |
three-dimensional electron gas
ⓘ
two-dimensional electron gas ⓘ |
| dependsOn | electron number density n ⓘ |
| hasProperty | dimensionless ⓘ |
| interpretedAs |
radius of a disk containing one electron on average in 2D
ⓘ
radius of a sphere containing one electron on average in 3D ⓘ |
| inverselyProportionalTo |
cube root of electron density in 3D
ⓘ
square root of electron density in 2D ⓘ |
| largeValueLimit | strongly correlated electron regime ⓘ |
| largeValueRegime | low-density electron gas ⓘ |
| measuredIn | units of Bohr radius a_0 ⓘ |
| namedAfter |
Eugene Wigner
ⓘ
Frederick Seitz ⓘ |
| quantifies |
average spacing between electrons
ⓘ
electron density ⓘ |
| relatedConcept |
Wigner-Seitz cell
ⓘ
linked to:
Wigner–Seitz cell
|
| relatedTo |
Coulomb interaction strength
ⓘ
Fermi gas ⓘ Wigner crystal ⓘ electron liquid ⓘ |
| smallValueLimit | weakly interacting Fermi gas ⓘ |
| smallValueRegime | high-density electron gas ⓘ |
| usedIn |
condensed matter physics
ⓘ
density functional theory ⓘ homogeneous electron gas model ⓘ jellium model ⓘ many-body physics ⓘ quantum Monte Carlo studies of electron gases ⓘ |
| usedToParameterize |
correlation energy of the electron gas
ⓘ
exchange-correlation functionals in density functional theory ⓘ |
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: Wigner-Seitz radius r_s Description of subject: The Wigner-Seitz radius r_s is a dimensionless parameter in condensed matter physics that quantifies the average spacing between electrons in an electron gas, commonly used to characterize correlation strength and phases such as the Wigner crystal.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.