Boltzmann constant

E7358

fundamental constant physical constant

The Boltzmann constant is a fundamental physical constant that links temperature to energy at the particle level, playing a central role in statistical mechanics and thermodynamics.

Try in SPARQL Jump to: Surface forms Disambiguation Statements Elicitation Referenced by

AI illustration

All labels observed (5)

Label	Occurrences
Boltzmann constant canonical	32
Boltzmann constant k	5
Boltzmann constant k_B	2
Boltzmann constant kB	1
SI base unit definitions	1

How this entity was disambiguated

This entity first appeared as the object of triple T80148 — 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: Boltzmann constant
Context triple: [On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat, relatesToConstant, Boltzmann constant]

A. Avogadro constant
The Avogadro constant is the fundamental physical constant that specifies the number of constituent particles, usually atoms or molecules, in one mole of a substance.
B. Einstein–Smoluchowski relation
The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
C. Planck radiation law
Planck radiation law is a fundamental formula in quantum physics that describes the spectral distribution of electromagnetic radiation emitted by a black body in thermal equilibrium.
D. Newtonian gravitational constant G
The Newtonian gravitational constant G is the fundamental physical constant that quantifies the strength of gravitational attraction between masses in classical and relativistic theories of gravity.
E. 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.
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: Boltzmann constant
Target entity description: The Boltzmann constant is a fundamental physical constant that links temperature to energy at the particle level, playing a central role in statistical mechanics and thermodynamics.

A. Avogadro constant
The Avogadro constant is the fundamental physical constant that specifies the number of constituent particles, usually atoms or molecules, in one mole of a substance.
B. Einstein–Smoluchowski relation
The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
C. Planck radiation law
Planck radiation law is a fundamental formula in quantum physics that describes the spectral distribution of electromagnetic radiation emitted by a black body in thermal equilibrium.
D. Newtonian gravitational constant G
The Newtonian gravitational constant G is the fundamental physical constant that quantifies the strength of gravitational attraction between masses in classical and relativistic theories of gravity.
E. 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.
F. None of above. chosen

Statements (47)

Predicate	Object
instanceOf	fundamental constant ⓘ physical constant ⓘ
appearsIn	Bose–Einstein distribution ⓘ linked to: Bose–Einstein statistics E = k_B T ⓘ Einstein solid model ⓘ Fermi–Dirac distribution ⓘ linked to: Fermi–Dirac statistics Johnson–Nyquist noise formula ⓘ linked to: fluctuation–dissipation theorem Maxwell–Boltzmann distribution ⓘ linked to: Maxwell–Boltzmann statistics Planck blackbody radiation law ⓘ linked to: Planck radiation law S = k_B ln Ω ⓘ Sackur–Tetrode equation ⓘ equipartition theorem ⓘ partition function expressions ⓘ
CODATAStatus	fixed exact constant in SI ⓘ
connects	energy ⓘ temperature ⓘ
definedBy	2019 SI redefinition ⓘ
dimension	energy per temperature ⓘ
exactValue	yes ⓘ
field	kinetic theory of gases ⓘ statistical mechanics ⓘ thermodynamics ⓘ
fixedBy	26th General Conference on Weights and Measures ⓘ
measurementMethods	Doppler broadening thermometry ⓘ Johnson-noise thermometry ⓘ acoustic gas thermometry ⓘ dielectric-constant gas thermometry ⓘ
microscopicMacroscopicLink	relates microscopic particle properties to macroscopic thermodynamic quantities ⓘ
namedAfter	Ludwig Boltzmann ⓘ
previousUncertainty	was experimentally determined before 2019 ⓘ
relatedTo	Avogadro constant ⓘ gas constant ⓘ
relation	R = N_A k_B ⓘ
relevance	central to statistical definition of temperature ⓘ
role	links temperature to average particle energy ⓘ
SIName	Boltzmann constant ⓘ
symbol	k ⓘ k_B ⓘ
unit	joule per kelvin ⓘ
unitSymbol	J·K⁻¹ ⓘ
usedIn	Boltzmann factor exp(-E/(k_B T)) ⓘ definition of kelvin before 2019 redefinition ⓘ ideal gas law ⓘ
usedToDefine	entropy scale ⓘ thermal noise power ⓘ
value	1.380649×10⁻²³ J/K ⓘ
yearDefined	2019 ⓘ

How these facts were elicited

Referenced by (41)

Full triples — surface form annotated when it differs from this entity's canonical label.

On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat → relatesToConstant → Boltzmann constant ⓘ

Bekenstein–Hawking entropy → usesConstant → Boltzmann constant ⓘ

Einstein–Smoluchowski relation → involvesQuantity → Boltzmann constant k_B ⓘ

linked to: Boltzmann constant

Fermi–Dirac statistics → hasParameter → Boltzmann constant k ⓘ

linked to: Boltzmann constant

Planck radiation law → dependsOnConstant → Boltzmann constant ⓘ

Avogadro constant → isPartOf → SI base unit definitions ⓘ

linked to: Boltzmann constant

Avogadro constant → isRelatedTo → Boltzmann constant ⓘ

Maxwell–Boltzmann statistics → dependsOn → Boltzmann constant ⓘ

Boltzmann constant → SIName → Boltzmann constant ⓘ

Ludwig Boltzmann → knownFor → Boltzmann constant ⓘ

Ludwig Boltzmann → hasSymbolNamedAfter → Boltzmann constant k ⓘ

linked to: Boltzmann constant

Bekenstein bound → usesConstant → Boltzmann constant ⓘ

Bekenstein bound → relatesVariable → Boltzmann constant k ⓘ

linked to: Boltzmann constant

CODATA recommended values of the fundamental physical constants → includesConstant → Boltzmann constant ⓘ

Stokes–Einstein relation → relatesQuantity → Boltzmann constant ⓘ

Rayleigh–Jeans law at low frequencies → usesConstant → Boltzmann constant k ⓘ

linked to: Boltzmann constant

International System of Units → definesConstant → Boltzmann constant ⓘ

Boltzmann–Gibbs entropy → usesConstant → Boltzmann constant ⓘ

subject linked to: Boltzmann–Gibbs entropy in statistical mechanics

Boltzmann distribution → dependsOn → Boltzmann constant ⓘ

Shockley diode equation → hasComponentConcept → Boltzmann constant k ⓘ

linked to: Boltzmann constant

Sackur–Tetrode equation → relatedTo → Boltzmann constant ⓘ

equipartition theorem → usesQuantity → Boltzmann constant ⓘ

k_B → symbolFor → Boltzmann constant ⓘ

k_B → represents → Boltzmann constant ⓘ

Landauer's principle → dependsOn → Boltzmann constant ⓘ

Unruh effect → dependsOn → Boltzmann constant ⓘ

Planck temperature → definedInTermsOf → Boltzmann constant ⓘ

Stefan–Boltzmann constant → dependsOnConstant → Boltzmann constant ⓘ

kelvin → definedByConstant → Boltzmann constant ⓘ

Planck units → basedOnConstant → Boltzmann constant ⓘ

Planck units → setsToOne → Boltzmann constant k_B ⓘ

linked to: Boltzmann constant

Thermal noise and Johnson–Nyquist noise theory → usesConstant → Boltzmann constant ⓘ

Saha ionization equation → uses → Boltzmann constant ⓘ

Dulong–Petit law for molar heat capacity of many solids at high temperature → involvesConstant → Boltzmann constant kB ⓘ

linked to: Boltzmann constant

Curie constant → dependsOn → Boltzmann constant ⓘ

Curie constant → isInverselyProportionalTo → Boltzmann constant ⓘ

Debye model → usesConstant → Boltzmann constant ⓘ

Debye temperature → definedVia → Boltzmann constant ⓘ

Eyring equation → usesConstant → Boltzmann constant ⓘ

Planck density → isDerivedFromConstant → Boltzmann constant ⓘ

Richardson–Dushman equation → dependsOn → Boltzmann constant ⓘ

All labels observed (5)

How this entity was disambiguated Show

Statements (47)

How these facts were elicited Show

Referenced by (41)

How this entity was disambiguated

How these facts were elicited