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.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Boltzmann constant k_B | 1 |
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
Boltzmann constant
ⓘ
physical constant ⓘ |
| appearsInEquation |
Bose–Einstein statistics
ⓘ
surface form:
Bose–Einstein distribution
Fermi–Dirac statistics ⓘ
surface form:
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 statistics ⓘ
surface form:
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 radiation law
ⓘ
surface form:
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 ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Boltzmann constant k_B