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.
All labels observed (12)
How this entity was disambiguated
This entity first appeared as the object of triple T79864 — 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: Planck radiation law Context triple: [Bose–Einstein statistics, usedToExplain, Planck radiation law]
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A.
Einstein coefficients
Einstein coefficients are parameters in quantum theory that quantify the probabilities of absorption, spontaneous emission, and stimulated emission of radiation by atoms or molecules.
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B.
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.
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C.
Huygens–Fresnel principle
The Huygens–Fresnel principle is a fundamental concept in wave optics that explains how every point on a wavefront acts as a source of secondary wavelets whose interference determines the wave’s subsequent propagation and diffraction.
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D.
Einstein field equations
The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
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E.
Does the Inertia of a Body Depend Upon Its Energy Content?
"Does the Inertia of a Body Depend Upon Its Energy Content?" is Albert Einstein’s 1905 paper that first articulated the mass–energy equivalence principle, commonly expressed as E = mc².
- 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: Planck radiation law Target entity description: 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.
-
A.
Einstein coefficients
Einstein coefficients are parameters in quantum theory that quantify the probabilities of absorption, spontaneous emission, and stimulated emission of radiation by atoms or molecules.
-
B.
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.
-
C.
Huygens–Fresnel principle
The Huygens–Fresnel principle is a fundamental concept in wave optics that explains how every point on a wavefront acts as a source of secondary wavelets whose interference determines the wave’s subsequent propagation and diffraction.
-
D.
Einstein field equations
The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
-
E.
Does the Inertia of a Body Depend Upon Its Energy Content?
"Does the Inertia of a Body Depend Upon Its Energy Content?" is Albert Einstein’s 1905 paper that first articulated the mass–energy equivalence principle, commonly expressed as E = mc².
- F. None of above. chosen
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 radiation law self-linksurface differs ⓘ
surface form:
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
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Planck radiation law Description of subject: 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.
Referenced by (23)
Full triples — surface form annotated when it differs from this entity's canonical label.
On a Heuristic Point of View Concerning the Production and Transformation of Light
→
relatedTo
→
Planck radiation law
ⓘ
this entity surface form:
Planck’s black-body radiation law
this entity surface form:
Planck distribution
this entity surface form:
Planck blackbody radiation law
this entity surface form:
black-body radiation law
this entity surface form:
Planck's law of black-body radiation
this entity surface form:
Planck’s law of blackbody radiation
this entity surface form:
Planck’s radiation law
this entity surface form:
Planck’s law of black-body radiation
this entity surface form:
Planck’s law
this entity surface form:
Planck distribution
this entity surface form:
Planck's law of black-body radiation
this entity surface form:
Planck's law of blackbody radiation
subject surface form:
Max Planck
this entity surface form:
Planck's law of black-body radiation
On the Law of Distribution of Energy in the Normal Spectrum
→
introducedConcept
→
Planck radiation law
ⓘ
this entity surface form:
Planck’s law
this entity surface form:
Planck's law of black-body radiation
this entity surface form:
Planck's radiation law