Lorentz–Lorenz equation
E100241
The Lorentz–Lorenz equation is a fundamental relation in optics and electromagnetism that connects a material’s refractive index to its molecular polarizability and density.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Lorentz–Lorenz relation | 2 |
| Clausius–Mossotti relation | 1 |
| Lorentz-Lorenz equation | 1 |
| Lorentz–Lorenz equation canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T846999 — 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: Lorentz–Lorenz equation Context triple: [Hendrik Lorentz, notableWork, Lorentz–Lorenz equation]
-
A.
Stokes–Einstein relation
The Stokes–Einstein relation is a fundamental equation in statistical physics that links the diffusion coefficient of a particle in a fluid to its size, the fluid’s viscosity, and temperature.
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B.
Snell’s law of refraction
Snell’s law of refraction is a fundamental principle in optics that relates the angles of incidence and refraction to the refractive indices of two media, governing how light bends when passing between them.
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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.
Einstein–Smoluchowski relation
The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
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E.
Sackur–Tetrode equation
The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
- 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: Lorentz–Lorenz equation Target entity description: The Lorentz–Lorenz equation is a fundamental relation in optics and electromagnetism that connects a material’s refractive index to its molecular polarizability and density.
-
A.
Stokes–Einstein relation
The Stokes–Einstein relation is a fundamental equation in statistical physics that links the diffusion coefficient of a particle in a fluid to its size, the fluid’s viscosity, and temperature.
-
B.
Snell’s law of refraction
Snell’s law of refraction is a fundamental principle in optics that relates the angles of incidence and refraction to the refractive indices of two media, governing how light bends when passing between them.
-
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.
Einstein–Smoluchowski relation
The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
-
E.
Sackur–Tetrode equation
The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
- F. None of above. chosen
Statements (43)
| Predicate | Object |
|---|---|
| instanceOf |
equation in electromagnetism
ⓘ
equation in optics ⓘ physical law ⓘ |
| alsoKnownAs |
Lorentz-Lorenz equation
ⓘ
linked to:
Lorentz–Lorenz equation
Lorentz–Lorenz relation ⓘ
linked to:
Lorentz–Lorenz equation
|
| appliesTo |
dielectric materials
ⓘ
transparent media ⓘ |
| approximationType | mean-field approximation ⓘ |
| assumes |
isotropic medium
ⓘ
linear response of polarization to electric field ⓘ non-magnetic material ⓘ |
| describes | connection between macroscopic refractive index and microscopic polarizability ⓘ |
| domain | classical electromagnetism ⓘ |
| field |
electromagnetism
ⓘ
materials science ⓘ optics ⓘ |
| hasLimitation |
less accurate for strongly interacting or highly polarizable systems
ⓘ
less accurate near critical points of fluids ⓘ |
| historicalPeriod | 19th century physics ⓘ |
| involvesConcept |
local field
ⓘ
macroscopic dielectric response ⓘ microscopic polarizability ⓘ |
| involvesQuantity |
molar refractivity
ⓘ
number density of molecules ⓘ refractive index squared ⓘ |
| namedAfter |
Hendrik Antoon Lorentz
ⓘ
linked to:
Hendrik Lorentz
Ludwig Lorenz ⓘ |
| relatedTo |
Clausius–Mossotti relation
ⓘ
linked to:
Lorentz–Lorenz equation
dielectric constant ⓘ electric susceptibility ⓘ polarization density ⓘ |
| relates |
density
ⓘ
molecular polarizability ⓘ refractive index ⓘ |
| usedFor |
determining molecular polarizability from refractive index measurements
ⓘ
modeling refractive index of gases ⓘ modeling refractive index of liquids ⓘ relating optical properties to material density ⓘ |
| usedIn |
estimation of mixture refractive indices
ⓘ
optical material design ⓘ refractive index modeling in chemistry ⓘ spectroscopy data analysis ⓘ |
| validFor | low to moderate densities where local field corrections are adequate ⓘ |
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: Lorentz–Lorenz equation Description of subject: The Lorentz–Lorenz equation is a fundamental relation in optics and electromagnetism that connects a material’s refractive index to its molecular polarizability and density.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Lorentz–Lorenz equation
linked to: Lorentz–Lorenz equation
linked to: Lorentz–Lorenz equation
linked to: Lorentz–Lorenz equation