Triple
T12070070
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dulong–Petit law for molar heat capacity of many solids at high temperature |
E287399
|
entity |
| Predicate | relatedConcept |
P37
|
FINISHED |
| Object | Einstein model of solids |
E518983
|
NE FINISHED |
How this triple was built (2 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: Einstein model of solids | Statement: [Dulong–Petit law for molar heat capacity of many solids at high temperature, relatedConcept, Einstein model of solids]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Einstein model of solids Context triple: [Dulong–Petit law for molar heat capacity of many solids at high temperature, relatedConcept, Einstein model of solids]
-
A.
Debye model
chosen
The Debye model is a theoretical approach in solid-state physics that explains the heat capacity of crystalline solids by treating their lattice vibrations (phonons) as a spectrum of quantized modes up to a maximum cutoff frequency.
-
B.
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.
-
C.
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.
-
D.
Kirkwood approximation in statistical mechanics
The Kirkwood approximation in statistical mechanics is a method for approximating many-particle correlation functions by expressing higher-order correlations in terms of lower-order ones, simplifying the description of interacting particle systems.
-
E.
Quantum Theory of Solids
Quantum Theory of Solids is a foundational physics text that systematically applies quantum mechanics to explain the electronic, thermal, and structural properties of crystalline solids.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69d6ab4846e081908ee7bbd66a6d3459 |
completed | April 8, 2026, 7:23 p.m. |
| NER | Named-entity recognition | batch_69d90457fd488190b311ed69d2aebdf9 |
completed | April 10, 2026, 2:08 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f5f65ccc788190942e16c56f2a495f |
completed | May 2, 2026, 1:04 p.m. |
Created at: April 8, 2026, 9:48 p.m.