Langevin theory of paramagnetism
E187794
The Langevin theory of paramagnetism is a classical statistical model that explains how the magnetization of paramagnetic materials depends on temperature and applied magnetic field by treating atomic magnetic moments as non-interacting dipoles subject to thermal agitation.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Langevin theory of paramagnetism canonical | 2 |
| Langevin model of paramagnetism | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1656598 — 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: Langevin theory of paramagnetism Context triple: [Paul Langevin, theory, Langevin theory of paramagnetism]
-
A.
Curie law of magnetization
The Curie law of magnetization is a fundamental principle in magnetism stating that the magnetic susceptibility of a paramagnetic material is inversely proportional to its absolute temperature.
-
B.
Landau theory of second-order phase transitions
Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
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C.
Pauli paramagnetism
Pauli paramagnetism is the weak, temperature-independent magnetic response of conduction electrons in a metal arising from their spin alignment described by Fermi–Dirac statistics.
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D.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
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E.
Steinmetz’s law of hysteresis
Steinmetz’s law of hysteresis is an empirical formula that relates the energy loss in magnetic materials to the maximum magnetic flux density, widely used in electrical engineering to estimate core losses in transformers and other AC magnetic devices.
- 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: Langevin theory of paramagnetism Target entity description: The Langevin theory of paramagnetism is a classical statistical model that explains how the magnetization of paramagnetic materials depends on temperature and applied magnetic field by treating atomic magnetic moments as non-interacting dipoles subject to thermal agitation.
-
A.
Curie law of magnetization
The Curie law of magnetization is a fundamental principle in magnetism stating that the magnetic susceptibility of a paramagnetic material is inversely proportional to its absolute temperature.
-
B.
Landau theory of second-order phase transitions
Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
-
C.
Pauli paramagnetism
Pauli paramagnetism is the weak, temperature-independent magnetic response of conduction electrons in a metal arising from their spin alignment described by Fermi–Dirac statistics.
-
D.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
-
E.
Steinmetz’s law of hysteresis
Steinmetz’s law of hysteresis is an empirical formula that relates the energy loss in magnetic materials to the maximum magnetic flux density, widely used in electrical engineering to estimate core losses in transformers and other AC magnetic devices.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
classical theory
ⓘ
physical theory ⓘ statistical model ⓘ theory of magnetism ⓘ |
| appliesTo | paramagnetic materials ⓘ |
| approximates | quantum paramagnetism at high temperatures ⓘ |
| assumes |
absence of dipole–dipole interactions
ⓘ
classical magnetic moments ⓘ continuous orientation of magnetic moments ⓘ independent identical dipoles ⓘ non-interacting magnetic dipoles ⓘ thermal equilibrium ⓘ |
| comparedTo | Curie–Weiss law ⓘ |
| defines | Langevin function ⓘ |
| describes | paramagnetism ⓘ |
| explains |
dependence of magnetization on applied magnetic field
ⓘ
dependence of magnetization on temperature ⓘ |
| expressesMagnetizationWith | Langevin function ⓘ |
| field |
condensed matter physics
ⓘ
solid-state physics ⓘ statistical mechanics ⓘ |
| historicalPeriod | early 20th century ⓘ |
| influencedBy | classical kinetic theory ⓘ |
| introducedBy | Paul Langevin ⓘ |
| involves |
orientation distribution of dipoles
ⓘ
partition function of a magnetic dipole in a field ⓘ |
| limitation |
fails at low temperatures
ⓘ
fails for strong magnetic fields ⓘ |
| namedAfter | Paul Langevin ⓘ |
| neglects |
exchange interactions
ⓘ
quantum effects ⓘ spin quantization ⓘ |
| predicts |
Curie law
ⓘ
linked to:
Curie law of magnetization
magnetic susceptibility inversely proportional to temperature ⓘ |
| provides | macroscopic magnetization from microscopic moments ⓘ |
| relatedTo |
Langevin equation
ⓘ
linked to:
Langevin dynamics
|
| relatesQuantity |
magnetic field
ⓘ
magnetic moment ⓘ magnetization ⓘ temperature ⓘ |
| replacedBy | quantum theory of paramagnetism ⓘ |
| treats | magnetic moments as classical vectors ⓘ |
| usedFor |
modeling dilute paramagnetic salts
ⓘ
modeling rare-earth ion paramagnets at high temperature ⓘ |
| uses |
Boltzmann statistics
ⓘ
linked to:
Boltzmann distribution
canonical ensemble ⓘ |
| validInLimit |
high temperature
ⓘ
weak magnetic field ⓘ |
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: Langevin theory of paramagnetism Description of subject: The Langevin theory of paramagnetism is a classical statistical model that explains how the magnetization of paramagnetic materials depends on temperature and applied magnetic field by treating atomic magnetic moments as non-interacting dipoles subject to thermal agitation.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Langevin theory of paramagnetism