Triple

T17105395
Position Surface form Disambiguated ID Type / Status
Subject Kramers turnover theory E415084 entity
Predicate relatedTo P37 FINISHED
Object Pollak–Grabert–Hänggi turnover formula
The Pollak–Grabert–Hänggi turnover formula is a refined theoretical expression in chemical physics that quantitatively describes reaction rate behavior across the full range from low to high friction, extending and completing Kramers’ original turnover theory.
E415084 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: Pollak–Grabert–Hänggi turnover formula | Statement: [Kramers turnover theory, relatedTo, Pollak–Grabert–Hänggi turnover formula]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Pollak–Grabert–Hänggi turnover formula
Context triple: [Kramers turnover theory, relatedTo, Pollak–Grabert–Hänggi turnover formula]
  • A. Kramers turnover theory
    Kramers turnover theory is a foundational concept in chemical physics that describes how reaction rates depend on friction or solvent viscosity, predicting a maximum (turnover) as friction varies.
  • B. Landauer–Büttiker formalism
    The Landauer–Büttiker formalism is a theoretical framework in mesoscopic physics that describes electrical conductance in terms of quantum transmission of electrons through scattering channels.
  • C. 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.
  • D. Systems in Stochastic Equilibrium
    Systems in Stochastic Equilibrium is a seminal mathematical monograph by Peter Whittle that develops the theory of stochastic processes and their long-run equilibrium behavior in complex systems.
  • E. Arrhenius equation for temperature dependence of reaction rates
    The Arrhenius equation for temperature dependence of reaction rates is a fundamental formula in chemical kinetics that quantitatively relates a reaction’s rate constant to temperature and activation energy, explaining why reactions speed up as temperature increases.
  • 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: Pollak–Grabert–Hänggi turnover formula
Triple: [Kramers turnover theory, relatedTo, Pollak–Grabert–Hänggi turnover formula]
Generated description
The Pollak–Grabert–Hänggi turnover formula is a refined theoretical expression in chemical physics that quantitatively describes reaction rate behavior across the full range from low to high friction, extending and completing Kramers’ original turnover theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Pollak–Grabert–Hänggi turnover formula
Target entity description: The Pollak–Grabert–Hänggi turnover formula is a refined theoretical expression in chemical physics that quantitatively describes reaction rate behavior across the full range from low to high friction, extending and completing Kramers’ original turnover theory.
  • A. Kramers turnover theory chosen
    Kramers turnover theory is a foundational concept in chemical physics that describes how reaction rates depend on friction or solvent viscosity, predicting a maximum (turnover) as friction varies.
  • B. Landauer–Büttiker formalism
    The Landauer–Büttiker formalism is a theoretical framework in mesoscopic physics that describes electrical conductance in terms of quantum transmission of electrons through scattering channels.
  • C. 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.
  • D. Systems in Stochastic Equilibrium
    Systems in Stochastic Equilibrium is a seminal mathematical monograph by Peter Whittle that develops the theory of stochastic processes and their long-run equilibrium behavior in complex systems.
  • E. Arrhenius equation for temperature dependence of reaction rates
    The Arrhenius equation for temperature dependence of reaction rates is a fundamental formula in chemical kinetics that quantitatively relates a reaction’s rate constant to temperature and activation energy, explaining why reactions speed up as temperature increases.
  • F. None of above.

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_69d886cfc8e88190b05ba466edd35591 completed April 10, 2026, 5:12 a.m.
NER Named-entity recognition batch_69e3dc2683fc81908af2df9012addecb completed April 18, 2026, 7:31 p.m.
NED1 Entity disambiguation (via context triple) batch_6a0139ffbe808190a24e827331ee4a6c completed May 11, 2026, 2:07 a.m.
NEDg Description generation batch_6a013ae388548190b09d2c81e1ab0d02 completed May 11, 2026, 2:11 a.m.
NED2 Entity disambiguation (via description) batch_6a013b4df74c81908b3b99e276531e13 completed May 11, 2026, 2:13 a.m.
Created at: April 10, 2026, 5:35 a.m.