Triple

T7145276
Position Surface form Disambiguated ID Type / Status
Subject Bloch waves E166546 entity
Predicate basedOn P98 FINISHED
Object Bloch theorem
Bloch theorem is a fundamental result in solid-state physics stating that electrons in a periodic potential have wavefunctions that can be written as plane waves modulated by a periodic function, forming the basis for understanding electronic band structure in crystals.
E166546 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: Bloch theorem | Statement: [Bloch waves, basedOn, Bloch theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bloch theorem
Context triple: [Bloch waves, basedOn, Bloch theorem]
  • A. Bloch waves
    Bloch waves are quantum-mechanical wavefunctions that describe particles, such as electrons, propagating through a periodic crystal lattice and form the basis for understanding electronic band structure in solids.
  • B. Brillouin zone
    The Brillouin zone is the fundamental region of reciprocal space in a crystal lattice, defining the allowed wavevectors for electrons and underpinning the structure of electronic band diagrams.
  • C. Bloch
    Bloch is a surname most notably associated with Felix Bloch, the Swiss-American physicist and Nobel laureate known for his pioneering work in nuclear magnetic resonance.
  • D. Peierls substitution
    Peierls substitution is a quantum mechanical method for incorporating the effects of an external electromagnetic field into the momentum of charged particles in lattice or solid-state systems.
  • E. Anderson localization
    Anderson localization is a quantum mechanical phenomenon in which disorder in a material causes electrons or waves to become spatially localized, preventing them from diffusing freely.
  • 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: Bloch theorem
Triple: [Bloch waves, basedOn, Bloch theorem]
Generated description
Bloch theorem is a fundamental result in solid-state physics stating that electrons in a periodic potential have wavefunctions that can be written as plane waves modulated by a periodic function, forming the basis for understanding electronic band structure in crystals.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Bloch theorem
Target entity description: Bloch theorem is a fundamental result in solid-state physics stating that electrons in a periodic potential have wavefunctions that can be written as plane waves modulated by a periodic function, forming the basis for understanding electronic band structure in crystals.
  • A. Bloch waves chosen
    Bloch waves are quantum-mechanical wavefunctions that describe particles, such as electrons, propagating through a periodic crystal lattice and form the basis for understanding electronic band structure in solids.
  • B. Brillouin zone
    The Brillouin zone is the fundamental region of reciprocal space in a crystal lattice, defining the allowed wavevectors for electrons and underpinning the structure of electronic band diagrams.
  • C. Bloch
    Bloch is a surname most notably associated with Felix Bloch, the Swiss-American physicist and Nobel laureate known for his pioneering work in nuclear magnetic resonance.
  • D. Peierls substitution
    Peierls substitution is a quantum mechanical method for incorporating the effects of an external electromagnetic field into the momentum of charged particles in lattice or solid-state systems.
  • E. Anderson localization
    Anderson localization is a quantum mechanical phenomenon in which disorder in a material causes electrons or waves to become spatially localized, preventing them from diffusing freely.
  • 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_69c6888579d481909e05a8d6b81bf733 completed March 27, 2026, 1:39 p.m.
NER Named-entity recognition batch_69c6e7d1652c8190973edceab55f04bc completed March 27, 2026, 8:25 p.m.
NED1 Entity disambiguation (via context triple) batch_69c7ada12a848190b6e98e0b1a258c17 completed March 28, 2026, 10:29 a.m.
NEDg Description generation batch_69c7aeb1c59c8190b02fcb731003ad31 completed March 28, 2026, 10:34 a.m.
NED2 Entity disambiguation (via description) batch_69c7af2ad8a081909185cfd3a3d4e4d0 completed March 28, 2026, 10:36 a.m.
Created at: March 27, 2026, 2:46 p.m.