Planck radiation law

E4994

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.

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AI-generated illustration of Planck radiation law

This AI-generated illustration was produced by black-forest-labs/FLUX.2-dev (1024x1024) from a prompt written by openai/gpt-oss-120b from the entity's label + description.

Prompt

Generate an image of 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.)

All labels observed (12)

How this entity was disambiguated

Statements (49)

Predicate Object
instanceOf law of black-body radiation ⓘ
law of quantum physics ⓘ
physical law ⓘ
appliesTo ideal black body ⓘ
assumes bosonic statistics for photons ⓘ
electromagnetic modes in a cavity ⓘ
thermal equilibrium ⓘ
dependsOnConstant Boltzmann constant ⓘ
Planck constant ⓘ
speed of light in vacuum ⓘ
derivedUsing Bose–Einstein statistics for photons ⓘ
Planck distribution ⓘ
describes black-body radiation ⓘ
spectral distribution of electromagnetic radiation ⓘ
domain thermal radiation ⓘ
expresses spectral radiance as function of frequency and temperature ⓘ
spectral radiance as function of wavelength and temperature ⓘ
field electromagnetism ⓘ
quantum physics ⓘ
statistical mechanics ⓘ
thermodynamics ⓘ
historicalSignificance marked birth of quantum theory ⓘ
implies energy quantization of electromagnetic modes ⓘ
introducedBy Max Planck ⓘ
involvesConcept black-body spectrum ⓘ
quantization of energy levels ⓘ
involvesQuantity photon energy ⓘ
photon occupation number ⓘ
spectral radiance ⓘ
mathematicalForm spectral radiance proportional to 1/λ^5 divided by (exp(hc/(λkT)) − 1) ⓘ
spectral radiance proportional to ν^3 divided by (exp(hν/kT) − 1) ⓘ
predicts peak wavelength of black-body spectrum depends on temperature ⓘ
total emitted power increases with temperature ⓘ
reducesTo Rayleigh–Jeans law at low frequencies ⓘ
Wien approximation at high frequencies ⓘ
relatedTo Stefan–Boltzmann law ⓘ
Wien displacement law ⓘ
resolves ultraviolet catastrophe of classical physics ⓘ
usedIn astrophysics ⓘ
cosmology ⓘ
infrared thermography ⓘ
radiative heat transfer calculations ⓘ
remote sensing ⓘ
thermal radiation modeling ⓘ
validFor macroscopic bodies approximating black bodies ⓘ
variable absolute temperature ⓘ
frequency ⓘ
wavelength ⓘ
yearProposed 1900 ⓘ

How these facts were elicited

Referenced by (24)

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

Bose–Einstein statistics → usedToExplain → Planck radiation law ⓘ
Einstein coefficients → relatedTo → Planck radiation law ⓘ
On a Heuristic Point of View Concerning the Production and Transformation of Light → relatedTo → Planck’s black-body radiation law ⓘ
linked to: Planck radiation law
Planck radiation law → derivedUsing → Planck distribution ⓘ
linked to: Planck radiation law
Boltzmann constant → appearsIn → Planck blackbody radiation law ⓘ
linked to: Planck radiation law
Planck constant → appearsInEquation → Planck radiation law ⓘ
Max Planck → knownFor → black-body radiation law ⓘ
linked to: Planck radiation law
Max Planck → knownFor → Planck's law of black-body radiation ⓘ
linked to: Planck radiation law
Rayleigh–Jeans law at low frequencies → isApproximationOf → Planck’s law of blackbody radiation ⓘ
linked to: Planck radiation law
Rayleigh–Jeans law at low frequencies → isClassicalLimitOf → Planck’s radiation law ⓘ
linked to: Planck radiation law
Wien displacement law → relatedTo → Planck radiation law ⓘ
Wien displacement law → approximationOf → Planck radiation law ⓘ
Stefan–Boltzmann law → derivedFrom → Planck’s law of black-body radiation ⓘ
linked to: Planck radiation law
Stefan–Boltzmann law → relatedTo → Planck’s law ⓘ
linked to: Planck radiation law
k_B → playsRoleIn → Planck distribution ⓘ
linked to: Planck radiation law
Kirchhoff's law of thermal radiation → usedInDerivationOf → Planck's law of black-body radiation ⓘ
linked to: Planck radiation law
Kirchhoff's three laws of spectroscopy → relatedTo → Planck's law of blackbody radiation ⓘ
linked to: Planck radiation law
Max Planck → knownFor → Planck's law of black-body radiation ⓘ
subject linked to: Planck
linked to: Planck radiation law
Stefan–Boltzmann constant → relatedConcept → Planck’s law ⓘ
linked to: Planck radiation law
Wien displacement constant → isPartOf → Planck's law of black-body radiation ⓘ
linked to: Planck radiation law
Wien displacement constant → relatedLaw → Planck's radiation law ⓘ
linked to: Planck radiation law
Wien approximation → appliesTo → Planck's law of blackbody radiation ⓘ
subject linked to: Wien
linked to: Planck radiation law