Triple

T7491957
Position Surface form Disambiguated ID Type / Status
Subject Feshbach projection formalism E177025 entity
Predicate relatedTo P37 FINISHED
Object Löwdin partitioning
Löwdin partitioning is a quantum mechanical technique that reduces complex many-level systems to effective Hamiltonians acting in a smaller subspace, simplifying the analysis of electronic structure and interactions.
E668826 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: Löwdin partitioning | Statement: [Feshbach projection formalism, relatedTo, Löwdin partitioning]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Löwdin partitioning
Context triple: [Feshbach projection formalism, relatedTo, Löwdin partitioning]
  • A. Extended Hückel method
    The Extended Hückel method is a semi-empirical quantum chemistry approach developed by Roald Hoffmann to approximate molecular electronic structure and bonding using simplified orbital interactions.
  • B. Electronic Structures of Molecules
    Electronic Structures of Molecules is a foundational scientific work by Robert S. Mulliken that systematically develops molecular orbital theory and its application to understanding the electronic properties and bonding of molecules.
  • C. Kohn–Sham equations
    The Kohn–Sham equations are a set of self-consistent single-particle equations in density functional theory that map an interacting many-electron system onto a fictitious non-interacting system with the same electron density.
  • D. Hartree–Fock method
    The Hartree–Fock method is an approximate quantum mechanical approach for determining the electronic structure of atoms, molecules, and solids by modeling electrons as occupying self-consistent single-particle orbitals.
  • E. Longuet-Higgins theorem in molecular symmetry
    The Longuet-Higgins theorem in molecular symmetry is a fundamental result in theoretical chemistry that relates molecular symmetry properties to electronic state degeneracies and the occurrence of phenomena such as the Jahn–Teller effect.
  • 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: Löwdin partitioning
Triple: [Feshbach projection formalism, relatedTo, Löwdin partitioning]
Generated description
Löwdin partitioning is a quantum mechanical technique that reduces complex many-level systems to effective Hamiltonians acting in a smaller subspace, simplifying the analysis of electronic structure and interactions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Löwdin partitioning
Target entity description: Löwdin partitioning is a quantum mechanical technique that reduces complex many-level systems to effective Hamiltonians acting in a smaller subspace, simplifying the analysis of electronic structure and interactions.
  • A. Extended Hückel method
    The Extended Hückel method is a semi-empirical quantum chemistry approach developed by Roald Hoffmann to approximate molecular electronic structure and bonding using simplified orbital interactions.
  • B. Electronic Structures of Molecules
    Electronic Structures of Molecules is a foundational scientific work by Robert S. Mulliken that systematically develops molecular orbital theory and its application to understanding the electronic properties and bonding of molecules.
  • C. Kohn–Sham equations
    The Kohn–Sham equations are a set of self-consistent single-particle equations in density functional theory that map an interacting many-electron system onto a fictitious non-interacting system with the same electron density.
  • D. Hartree–Fock method
    The Hartree–Fock method is an approximate quantum mechanical approach for determining the electronic structure of atoms, molecules, and solids by modeling electrons as occupying self-consistent single-particle orbitals.
  • E. Longuet-Higgins theorem in molecular symmetry
    The Longuet-Higgins theorem in molecular symmetry is a fundamental result in theoretical chemistry that relates molecular symmetry properties to electronic state degeneracies and the occurrence of phenomena such as the Jahn–Teller effect.
  • 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_69c69f2583808190bd1a4936c42a5815 completed March 27, 2026, 3:15 p.m.
NER Named-entity recognition batch_69c6f5767d3481909a9a0e099cc02d03 completed March 27, 2026, 9:24 p.m.
NED1 Entity disambiguation (via context triple) batch_69c83c76a8988190bb5ff21731b19d4b completed March 28, 2026, 8:39 p.m.
NEDg Description generation batch_69c83e4052b481908df2fc43c71b3b07 completed March 28, 2026, 8:46 p.m.
NED2 Entity disambiguation (via description) batch_69c83ed33870819094b085229376da8a completed March 28, 2026, 8:49 p.m.
Created at: March 27, 2026, 3:43 p.m.