Klein–Nishina formula
E83430
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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Klein–Nishina formula canonical | 4 |
| Klein–Nishina formula for Compton scattering | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T677843 — 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: Klein–Nishina formula Context triple: [Yoshio Nishina, notableWork, Klein–Nishina formula]
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A.
Bethe formula for stopping power
The Bethe formula for stopping power is a fundamental equation in particle physics that quantifies the energy loss of fast charged particles as they pass through matter.
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B.
Bethe–Salpeter equation
The Bethe–Salpeter equation is a relativistic quantum field theory equation that describes bound states of two interacting particles, such as electron–hole pairs in quantum electrodynamics.
-
C.
Rayleigh–Jeans law at low frequencies
The Rayleigh–Jeans law at low frequencies is the classical approximation for blackbody radiation that accurately describes the long-wavelength, low-energy limit of Planck’s radiation spectrum.
-
D.
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.
-
E.
Stark effect
The Stark effect is the splitting and shifting of atomic or molecular spectral lines caused by an external electric field.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Klein–Nishina formula Target entity description: 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.
-
A.
Bethe formula for stopping power
The Bethe formula for stopping power is a fundamental equation in particle physics that quantifies the energy loss of fast charged particles as they pass through matter.
-
B.
Bethe–Salpeter equation
The Bethe–Salpeter equation is a relativistic quantum field theory equation that describes bound states of two interacting particles, such as electron–hole pairs in quantum electrodynamics.
-
C.
Rayleigh–Jeans law at low frequencies
The Rayleigh–Jeans law at low frequencies is the classical approximation for blackbody radiation that accurately describes the long-wavelength, low-energy limit of Planck’s radiation spectrum.
-
D.
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.
-
E.
Stark effect
The Stark effect is the splitting and shifting of atomic or molecular spectral lines caused by an external electric field.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
equation in physics
ⓘ
physical law ⓘ result in quantum electrodynamics ⓘ |
| appliesTo | scattering of photons by free electrons ⓘ |
| assumes |
initially free electron at rest
ⓘ
single‑photon scattering ⓘ |
| basedOn |
Dirac equation
ⓘ
surface form:
Dirac theory of the electron
quantum electrodynamics ⓘ |
| category |
equations of quantum electrodynamics
ⓘ
scattering cross sections ⓘ |
| characterizes | polarization dependence of Compton scattering ⓘ |
| dependsOn |
classical electron radius
ⓘ
fine‑structure constant ⓘ incident photon energy ⓘ scattering angle ⓘ |
| describes | differential cross section for Compton scattering ⓘ |
| domain | relativistic quantum mechanics ⓘ |
| expressedIn | natural units in high‑energy physics ⓘ |
| field |
high‑energy physics
ⓘ
particle physics ⓘ quantum electrodynamics ⓘ scattering theory ⓘ |
| generalizes |
Thomson cross section
ⓘ
surface form:
Thomson scattering formula
|
| gives |
angular distribution of scattered photons in Compton scattering
ⓘ
energy dependence of Compton scattering cross section ⓘ |
| importantFor |
calibration of gamma‑ray detectors
ⓘ
understanding interaction of gamma rays with matter ⓘ |
| incorporates |
quantum effects
ⓘ
relativistic effects ⓘ |
| isSolutionOf | tree‑level QED scattering amplitude for photon–electron scattering ⓘ |
| namedAfter |
Oskar Klein
ⓘ
Yoshio Nishina ⓘ |
| predicts |
anisotropic scattering at high photon energies
ⓘ
decrease of Compton cross section with increasing photon energy ⓘ |
| reducesTo | Thomson cross section in the low‑energy limit ⓘ |
| relatedTo |
Compton effect
ⓘ
surface form:
Compton scattering formula for photon energy shift
Compton wavelength of the electron ⓘ |
| relates | incident photon energy to scattered photon energy and angle ⓘ |
| usedIn |
Monte Carlo simulations of radiation transport
ⓘ
detector design for high‑energy photons ⓘ gamma‑ray astronomy ⓘ medical physics ⓘ radiation physics ⓘ |
| validFor | photon energies comparable to or larger than electron rest mass energy ⓘ |
| yearProposed | 1929 ⓘ |
How these facts were elicited
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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: Klein–Nishina formula Description of subject: 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.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.