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 |
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
NERFINISHED
ⓘ
Frederick Seitz NERFINISHED ⓘ |
| quantifies |
average spacing between electrons
ⓘ
electron density ⓘ |
| relatedConcept | Wigner-Seitz cell NERFINISHED ⓘ |
| relatedTo |
Coulomb interaction strength
ⓘ
Fermi gas NERFINISHED ⓘ Wigner crystal NERFINISHED ⓘ electron liquid ⓘ |
| smallValueLimit | weakly interacting Fermi gas ⓘ |
| smallValueRegime | high-density electron gas ⓘ |
| usedIn |
condensed matter physics
ⓘ
density functional theory NERFINISHED ⓘ homogeneous electron gas model ⓘ jellium model NERFINISHED ⓘ many-body physics ⓘ quantum Monte Carlo studies of electron gases ⓘ |
| usedToParameterize |
correlation energy of the electron gas
ⓘ
exchange-correlation functionals in density functional theory ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.