Planck radiation law

E4994

law of black-body radiation law of quantum physics physical 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.

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All labels observed (12)

Label	Occurrences
Planck radiation law canonical	7
Planck's law of black-body radiation	4
Planck distribution	2
Planck’s law	2
Planck blackbody radiation law	1
Planck's law of blackbody radiation	1
Planck's radiation law	1
Planck’s black-body radiation law	1
Planck’s law of black-body radiation	1
Planck’s law of blackbody radiation	1
Planck’s radiation law	1
black-body radiation law	1

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.

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 radiation law ⓘ

this entity surface form: Planck’s black-body radiation law

Planck radiation law → derivedUsing → Planck radiation law self-linksurface differs ⓘ

this entity surface form: Planck distribution

Boltzmann constant → appearsIn → Planck radiation law ⓘ

this entity surface form: Planck blackbody radiation law

Planck constant → appearsInEquation → Planck radiation law ⓘ

Max Planck → knownFor → Planck radiation law ⓘ

this entity surface form: black-body radiation law

Max Planck → knownFor → Planck radiation law ⓘ

this entity surface form: Planck's law of black-body radiation

Rayleigh–Jeans law at low frequencies → isApproximationOf → Planck radiation law ⓘ

this entity surface form: Planck’s law of blackbody radiation

Rayleigh–Jeans law at low frequencies → isClassicalLimitOf → Planck radiation law ⓘ

this entity surface form: Planck’s radiation law

Wien displacement law → relatedTo → Planck radiation law ⓘ

Wien displacement law → approximationOf → Planck radiation law ⓘ

Stefan–Boltzmann law → derivedFrom → Planck radiation law ⓘ

this entity surface form: Planck’s law of black-body radiation

Stefan–Boltzmann law → relatedTo → Planck radiation law ⓘ

this entity surface form: Planck’s law

k_B → playsRoleIn → Planck radiation law ⓘ

this entity surface form: Planck distribution

Kirchhoff's law of thermal radiation → usedInDerivationOf → Planck radiation law ⓘ

this entity surface form: Planck's law of black-body radiation

Kirchhoff's three laws of spectroscopy → relatedTo → Planck radiation law ⓘ

this entity surface form: Planck's law of blackbody radiation

Planck → knownFor → Planck radiation law ⓘ

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 → mainSubject → Planck radiation law ⓘ

On the Law of Distribution of Energy in the Normal Spectrum → introducedConcept → Planck radiation law ⓘ

Stefan–Boltzmann constant → relatedConcept → Planck radiation law ⓘ

this entity surface form: Planck’s law

Wien displacement constant → isPartOf → Planck radiation law ⓘ

this entity surface form: Planck's law of black-body radiation

Wien displacement constant → relatedLaw → Planck radiation law ⓘ

this entity surface form: Planck's radiation law