k_B

E57427

k_B is the conventional symbol used to denote the Boltzmann constant, a fundamental physical constant that relates temperature to energy at the particle level.

All labels observed (3)

Label Occurrences
Boltzmann constant k_B 1
k_B canonical 1
k_B (Boltzmann constant) 1

How this entity was disambiguated

Statements (49)

Predicate Object
instanceOf Boltzmann constant
physical constant
appearsInEquation Bose–Einstein distribution
Fermi–Dirac distribution
Gibbs free energy in statistical form
Helmholtz free energy F = -k_B T ln Z
Johnson–Nyquist noise: ⟨V²⟩ = 4 k_B T R Δf
Maxwell–Boltzmann distribution
S = k_B ln Ω
U = (f/2) N k_B T
k_B T as thermal energy scale
pV = N k_B T
⟨E⟩ = k_B T for a classical degree of freedom
definedBy International System of Units
domain materials science
physical chemistry
physics
fixedBy 2019 SI redefinition
hasApproximateValue 1.380649×10⁻²³ J·K⁻¹
hasCommonEnergyUnitForm 8.617333262×10⁻⁵ eV·K⁻¹
hasExactValue 1.380649×10⁻²³ J·K⁻¹
hasSIUnit joule per kelvin
hasSIUnitSymbol J·K⁻¹
isConstantType statistical constant
thermodynamic constant
isFundamentalConstantIn SI base unit kelvin definition
namedAfter Ludwig Boltzmann
playsRoleIn Planck distribution
blackbody radiation theory
cosmic microwave background analysis
equipartition theorem
relatedByEquation R = N_A k_B
relatedTo Avogadro constant
gas constant R
relates temperature to energy
represents Boltzmann constant
scaleSets thermal energy scale k_B T
symbolFor Boltzmann constant
usedIn Shannon entropy via k_B ln 2 factor in physical units
cosmology
information theory
kinetic theory of gases
partition function expressions
solid state physics
statistical mechanics
thermodynamics
usedToConvert temperature to energy units
usedToDefine entropy in statistical mechanics
thermal noise power

How these facts were elicited

Referenced by (3)

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

Gibbons–Hawking temperature dependsOn Boltzmann constant k_B
linked to: k_B
Néel relaxation hasParameter k_B (Boltzmann constant)
linked to: k_B