Triple
T2682918
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | equipartition theorem |
E57415
|
entity |
| Predicate | implies |
P1661
|
FINISHED |
| Object |
Dulong–Petit law for molar heat capacity of many solids at high temperature
The Dulong–Petit law states that many crystalline solids have an approximately constant molar heat capacity of about 3R at sufficiently high temperatures, reflecting classical equipartition of energy among atomic vibrations.
|
E287399
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Dulong–Petit law for molar heat capacity of many solids at high temperature | Statement: [equipartition theorem, implies, Dulong–Petit law for molar heat capacity of many solids at high temperature]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Dulong–Petit law for molar heat capacity of many solids at high temperature Context triple: [equipartition theorem, implies, Dulong–Petit law for molar heat capacity of many solids at high temperature]
-
A.
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.
-
B.
Kirchhoff's law of thermal radiation
Kirchhoff's law of thermal radiation is a fundamental principle in thermodynamics stating that, for a body in thermal equilibrium, its emissivity equals its absorptivity at each wavelength.
-
C.
Langevin theory of paramagnetism
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.
-
D.
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.
-
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.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Dulong–Petit law for molar heat capacity of many solids at high temperature Triple: [equipartition theorem, implies, Dulong–Petit law for molar heat capacity of many solids at high temperature]
Generated description
The Dulong–Petit law states that many crystalline solids have an approximately constant molar heat capacity of about 3R at sufficiently high temperatures, reflecting classical equipartition of energy among atomic vibrations.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Dulong–Petit law for molar heat capacity of many solids at high temperature Target entity description: The Dulong–Petit law states that many crystalline solids have an approximately constant molar heat capacity of about 3R at sufficiently high temperatures, reflecting classical equipartition of energy among atomic vibrations.
-
A.
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.
-
B.
Kirchhoff's law of thermal radiation
Kirchhoff's law of thermal radiation is a fundamental principle in thermodynamics stating that, for a body in thermal equilibrium, its emissivity equals its absorptivity at each wavelength.
-
C.
Langevin theory of paramagnetism
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.
-
D.
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.
-
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
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ab4a5028388190a36f3baf1588309e |
completed | March 6, 2026, 9:42 p.m. |
| NER | Named-entity recognition | batch_69abd9d602848190b638e417e710a555 |
completed | March 7, 2026, 7:55 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69afa06c7a908190ae3463bf3e204fa6 |
completed | March 10, 2026, 4:39 a.m. |
| NEDg | Description generation | batch_69afa1196aac81909b25557dff5acf5e |
completed | March 10, 2026, 4:42 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69afa1a7d9b48190a8b14a7d209e1f26 |
completed | March 10, 2026, 4:44 a.m. |
Created at: March 6, 2026, 9:54 p.m.