Kramers–Heisenberg dispersion formula
E415083
The Kramers–Heisenberg dispersion formula is a fundamental quantum mechanical expression that describes how light is scattered by atoms and molecules, forming the basis for understanding phenomena such as Raman scattering and resonant inelastic X-ray scattering.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Kramers–Heisenberg dispersion formula canonical | 2 |
| Kramers–Heisenberg formula | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T4142002 — 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.
Target entity: Kramers–Heisenberg dispersion formula Context triple: [Hendrik Anthony Kramers, notableWork, Kramers–Heisenberg dispersion formula]
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A.
Sommerfeld–Brillouin precursor theory
Sommerfeld–Brillouin precursor theory is a classical electromagnetic wave theory that explains how transient signal fronts (precursors) propagate through dispersive media before the main wave arrives.
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B.
On a Heuristic Point of View Concerning the Production and Transformation of Light
"On a Heuristic Point of View Concerning the Production and Transformation of Light" is Albert Einstein’s 1905 paper that introduced the concept of light quanta (photons), laying the foundation for quantum theory and explaining the photoelectric effect.
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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.
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D.
Herzberg–Teller approximation
The Herzberg–Teller approximation is a refinement in molecular spectroscopy that accounts for vibronic coupling by allowing electronic transition dipole moments to depend on nuclear coordinates, explaining intensity in otherwise forbidden transitions.
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E.
Kirchhoff diffraction theory
Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Kramers–Heisenberg dispersion formula Target entity description: The Kramers–Heisenberg dispersion formula is a fundamental quantum mechanical expression that describes how light is scattered by atoms and molecules, forming the basis for understanding phenomena such as Raman scattering and resonant inelastic X-ray scattering.
-
A.
Sommerfeld–Brillouin precursor theory
Sommerfeld–Brillouin precursor theory is a classical electromagnetic wave theory that explains how transient signal fronts (precursors) propagate through dispersive media before the main wave arrives.
-
B.
On a Heuristic Point of View Concerning the Production and Transformation of Light
"On a Heuristic Point of View Concerning the Production and Transformation of Light" is Albert Einstein’s 1905 paper that introduced the concept of light quanta (photons), laying the foundation for quantum theory and explaining the photoelectric effect.
-
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.
Herzberg–Teller approximation
The Herzberg–Teller approximation is a refinement in molecular spectroscopy that accounts for vibronic coupling by allowing electronic transition dipole moments to depend on nuclear coordinates, explaining intensity in otherwise forbidden transitions.
-
E.
Kirchhoff diffraction theory
Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
dispersion formula
ⓘ
quantum mechanical formula ⓘ scattering theory formula ⓘ |
| appliesTo |
elastic light scattering
ⓘ
inelastic light scattering ⓘ |
| approximationOf | full quantum electrodynamical scattering description ⓘ |
| basisFor |
Raman scattering theory
ⓘ
nonresonant Raman scattering ⓘ nonresonant inelastic X-ray scattering descriptions ⓘ resonant Raman scattering ⓘ resonant inelastic X-ray scattering ⓘ |
| characterizes |
line shapes in scattering spectra
ⓘ
polarization dependence of scattered light ⓘ resonant enhancement near electronic transitions ⓘ |
| dependsOn |
final quantum state of the system
ⓘ
incident photon energy ⓘ initial quantum state of the system ⓘ scattered photon energy ⓘ sum over intermediate quantum states ⓘ transition matrix elements between states ⓘ |
| describes |
frequency dependence of scattered radiation
ⓘ
quantum mechanical dispersion of radiation ⓘ scattering of light by atoms ⓘ scattering of light by molecules ⓘ |
| field |
atomic physics
ⓘ
molecular physics ⓘ optics ⓘ quantum mechanics ⓘ |
| historicalPeriod | early quantum mechanics era ⓘ |
| namedAfter |
Hendrik Anthony Kramers
ⓘ
Werner Heisenberg ⓘ |
| relatedTo |
Compton effect
ⓘ
surface form:
Compton scattering
Fermi golden rule ⓘ
surface form:
Fermi’s golden rule
Kramers–Kronig relations ⓘ Rayleigh scattering ⓘ Thomson scattering ⓘ optical theorem ⓘ |
| relates |
incident photon frequency to scattered photon frequency
ⓘ
scattering amplitude to intermediate quantum states ⓘ scattering cross section to transition matrix elements ⓘ |
| usedIn |
Raman effect
ⓘ
surface form:
Raman spectroscopy
X-ray spectroscopy ⓘ nonlinear optics ⓘ resonant inelastic X-ray scattering experiments ⓘ spectroscopy ⓘ |
| usesConcept |
Kramers–Kronig relations
ⓘ
energy denominators involving intermediate states ⓘ second-order time-dependent perturbation theory ⓘ transition dipole moments ⓘ virtual intermediate states ⓘ |
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.
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.
Subject: Kramers–Heisenberg dispersion formula Description of subject: The Kramers–Heisenberg dispersion formula is a fundamental quantum mechanical expression that describes how light is scattered by atoms and molecules, forming the basis for understanding phenomena such as Raman scattering and resonant inelastic X-ray scattering.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.