Einstein coefficients
E1604
Einstein coefficients are parameters in quantum theory that quantify the probabilities of absorption, spontaneous emission, and stimulated emission of radiation by atoms or molecules.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Einstein B coefficient for absorption | 1 |
| Einstein coefficients canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T15906 — 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: Einstein coefficients Context triple: [Albert Einstein, knownFor, Einstein coefficients]
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A.
Oppenheimer–Phillips process
The Oppenheimer–Phillips process is a nuclear reaction mechanism in which a deuteron interacting with a target nucleus effectively transfers its neutron while the proton is repelled, enabling certain reactions to occur at lower energies than would otherwise be required.
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B.
Oppenheimer–Snyder model
The Oppenheimer–Snyder model is a pioneering theoretical description of gravitational collapse in general relativity, providing one of the first rigorous treatments of how a massive star can form a black hole.
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C.
Nonantum, Newton
Nonantum is a historic village and neighborhood within the city of Newton, Massachusetts, known for its strong Italian-American heritage and close-knit community.
-
D.
Darkness and Light
"Darkness and Light" is a 2016 R&B and soul studio album by John Legend that explores themes of love, social justice, and personal reflection.
-
E.
Albert Einstein
Albert Einstein was a theoretical physicist best known for developing the theory of relativity and fundamentally reshaping modern physics.
- 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: Einstein coefficients Target entity description: Einstein coefficients are parameters in quantum theory that quantify the probabilities of absorption, spontaneous emission, and stimulated emission of radiation by atoms or molecules.
-
A.
Oppenheimer–Phillips process
The Oppenheimer–Phillips process is a nuclear reaction mechanism in which a deuteron interacting with a target nucleus effectively transfers its neutron while the proton is repelled, enabling certain reactions to occur at lower energies than would otherwise be required.
-
B.
Oppenheimer–Snyder model
The Oppenheimer–Snyder model is a pioneering theoretical description of gravitational collapse in general relativity, providing one of the first rigorous treatments of how a massive star can form a black hole.
-
C.
Nonantum, Newton
Nonantum is a historic village and neighborhood within the city of Newton, Massachusetts, known for its strong Italian-American heritage and close-knit community.
-
D.
Darkness and Light
"Darkness and Light" is a 2016 R&B and soul studio album by John Legend that explores themes of love, social justice, and personal reflection.
-
E.
Albert Einstein
Albert Einstein was a theoretical physicist best known for developing the theory of relativity and fundamentally reshaping modern physics.
- F. None of above. chosen
Statements (52)
| Predicate | Object |
|---|---|
| instanceOf |
Einstein coefficient
ⓘ
Einstein coefficient ⓘ Einstein coefficient ⓘ parameter in quantum theory ⓘ physical quantity ⓘ radiative transition coefficient ⓘ |
| appliesTo |
bound–bound transitions in atoms
ⓘ
bound–bound transitions in molecules ⓘ |
| dependsOn |
dipole matrix element
ⓘ
transition frequency ⓘ |
| describes |
radiation absorption
ⓘ
spontaneous emission ⓘ stimulated emission ⓘ |
| hasDimension |
(energy density × time)^{-1}
ⓘ
(energy density × time)^{-1} ⓘ inverse time ⓘ |
| hasPart |
Einstein A coefficient
ⓘ
Einstein coefficients self-linksurface differs ⓘ
surface form:
Einstein B coefficient for absorption
Einstein B coefficient for stimulated emission ⓘ |
| imply | existence of stimulated emission ⓘ |
| introducedBy | Albert Einstein ⓘ |
| introducedIn |
1916
ⓘ
1917 ⓘ |
| namedAfter | Albert Einstein ⓘ |
| relatedTo |
Boltzmann distribution
ⓘ
Planck radiation law ⓘ detailed balance ⓘ oscillator strength ⓘ transition dipole moment ⓘ |
| relates |
absorption rate
ⓘ
energy density of radiation field ⓘ energy density of radiation field ⓘ lower energy level population ⓘ spontaneous emission rate ⓘ stimulated emission rate ⓘ upper energy level population ⓘ upper energy level population ⓘ |
| symbol |
A_21
ⓘ
B_12 ⓘ B_21 ⓘ |
| usedIn |
astrophysics
ⓘ
atomic physics ⓘ laser physics ⓘ molecular physics ⓘ quantum theory of radiation ⓘ radiative transfer theory ⓘ spectroscopy ⓘ statistical mechanics of radiation ⓘ |
| usedToCalculate |
absorption coefficients in radiative transfer
ⓘ
emission coefficients in radiative transfer ⓘ line intensities in spectra ⓘ radiative lifetimes of excited 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.
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: Einstein coefficients Description of subject: Einstein coefficients are parameters in quantum theory that quantify the probabilities of absorption, spontaneous emission, and stimulated emission of radiation by atoms or molecules.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Einstein B coefficient for absorption