de Broglie wavelength formula
E154877
The de Broglie wavelength formula expresses the wave–particle duality of matter by relating a particle’s wavelength to its momentum using fundamental quantum principles.
All labels observed (3)
| Label | Occurrences |
|---|---|
| de Broglie hypothesis | 3 |
| de Broglie wavelength | 2 |
| de Broglie wavelength formula canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1348247 — 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: de Broglie wavelength formula Context triple: [Planck constant, appearsInEquation, de Broglie wavelength formula]
-
A.
reduced Planck constant
The reduced Planck constant (ħ) is a fundamental physical constant that quantifies the scale of quantum effects, commonly appearing in formulations of quantum mechanics and quantum field theory.
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B.
Planck constant
The Planck constant is a fundamental physical constant that quantifies the relationship between the energy of a photon and the frequency of its associated electromagnetic wave, forming a cornerstone of quantum mechanics.
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C.
Klein–Nishina formula
The Klein–Nishina formula is a fundamental result in quantum electrodynamics that gives the differential cross section for Compton scattering of photons by free electrons, incorporating relativistic and quantum effects.
-
D.
Planck length
The Planck length is the fundamental unit of length in quantum gravity, representing the scale at which classical concepts of space and time are expected to break down.
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E.
Schrödinger equation
The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
- 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: de Broglie wavelength formula Target entity description: The de Broglie wavelength formula expresses the wave–particle duality of matter by relating a particle’s wavelength to its momentum using fundamental quantum principles.
-
A.
reduced Planck constant
The reduced Planck constant (ħ) is a fundamental physical constant that quantifies the scale of quantum effects, commonly appearing in formulations of quantum mechanics and quantum field theory.
-
B.
Planck constant
The Planck constant is a fundamental physical constant that quantifies the relationship between the energy of a photon and the frequency of its associated electromagnetic wave, forming a cornerstone of quantum mechanics.
-
C.
Klein–Nishina formula
The Klein–Nishina formula is a fundamental result in quantum electrodynamics that gives the differential cross section for Compton scattering of photons by free electrons, incorporating relativistic and quantum effects.
-
D.
Planck length
The Planck length is the fundamental unit of length in quantum gravity, representing the scale at which classical concepts of space and time are expected to break down.
-
E.
Schrödinger equation
The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
physical law
ⓘ
quantum mechanics concept ⓘ |
| appliesTo |
atoms
ⓘ
electrons ⓘ macroscopic objects in principle ⓘ matter particles ⓘ molecules ⓘ neutrons ⓘ protons ⓘ |
| assumes | particle has momentum ⓘ |
| category | quantum theory of matter ⓘ |
| constantValueApprox | Planck constant ≈ 6.62607015×10⁻³⁴ J·s ⓘ |
| contrastsWith | classical particle-only description of matter ⓘ |
| domain | nonrelativistic quantum mechanics ⓘ |
| expresses | wave–particle duality ⓘ |
| foundationFor |
Davisson–Germer experiment interpretation
ⓘ
Schrödinger equation development ⓘ electron diffraction ⓘ wave mechanics ⓘ |
| hasRelativisticExtension | λ = h / γmv ⓘ |
| implies | all matter has a wavelength ⓘ |
| introducedBy | Louis de Broglie ⓘ |
| introducedIn | 1924 ⓘ |
| momentumDefinition |
p = mv for nonrelativistic particles
ⓘ
p = γmv for relativistic particles ⓘ |
| namedAfter | Louis de Broglie ⓘ |
| notableParameter |
particle mass
ⓘ
particle velocity ⓘ |
| predicts |
longer wavelength for smaller momentum
ⓘ
shorter wavelength for larger momentum ⓘ |
| relatedConcept |
Bragg's law
ⓘ
surface form:
Bragg diffraction
uncertainty principle ⓘ
surface form:
Heisenberg uncertainty principle
matter waves ⓘ wave–particle duality ⓘ |
| relates | wavelength to momentum ⓘ |
| relatesTo | quantum behavior of matter ⓘ |
| supports | interpretation of particles as waves ⓘ |
| symbolicForm | λ = h / p ⓘ |
| unitOfMomentum | kilogram meter per second ⓘ |
| unitOfWavelength | meter ⓘ |
| usedIn |
diffraction experiments with matter
ⓘ
electron microscopy ⓘ neutron scattering ⓘ |
| usesConstant | Planck constant ⓘ |
| usesSymbol |
h for Planck constant
ⓘ
p for momentum ⓘ λ for wavelength ⓘ |
| validWhen | quantum effects are significant ⓘ |
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: de Broglie wavelength formula Description of subject: The de Broglie wavelength formula expresses the wave–particle duality of matter by relating a particle’s wavelength to its momentum using fundamental quantum principles.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
de Broglie hypothesis
this entity surface form:
de Broglie hypothesis
this entity surface form:
de Broglie wavelength
this entity surface form:
de Broglie hypothesis
this entity surface form:
de Broglie wavelength