Triple

T7603300
Position Surface form Disambiguated ID Type / Status
Subject Léon Brillouin E180036 entity
Predicate notableWork P4 FINISHED
Object Wave Propagation in Periodic Structures
"Wave Propagation in Periodic Structures" is a foundational scientific monograph by Léon Brillouin that systematically develops the theory of wave behavior in periodically structured media, underpinning modern solid-state physics and band theory.
E675973 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: Wave Propagation in Periodic Structures | Statement: [Léon Brillouin, notableWork, Wave Propagation in Periodic Structures]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Wave Propagation in Periodic Structures
Context triple: [Léon Brillouin, notableWork, Wave Propagation in Periodic Structures]
  • 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. Kirchhoff diffraction theory
    Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
  • C. Fresnel diffraction theory
    Fresnel diffraction theory is a wave-optics framework that describes how light diffracts when source or observation distances are finite, using near-field approximations derived from the Huygens–Fresnel principle.
  • D. Wiener–Hopf equations
    Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
  • E. Rayleigh waves
    Rayleigh waves are a type of surface seismic wave that travel along the ground with a rolling motion, causing both vertical and horizontal ground displacement.
  • 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: Wave Propagation in Periodic Structures
Triple: [Léon Brillouin, notableWork, Wave Propagation in Periodic Structures]
Generated description
"Wave Propagation in Periodic Structures" is a foundational scientific monograph by Léon Brillouin that systematically develops the theory of wave behavior in periodically structured media, underpinning modern solid-state physics and band theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Wave Propagation in Periodic Structures
Target entity description: "Wave Propagation in Periodic Structures" is a foundational scientific monograph by Léon Brillouin that systematically develops the theory of wave behavior in periodically structured media, underpinning modern solid-state physics and band theory.
  • 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. Kirchhoff diffraction theory
    Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
  • C. Fresnel diffraction theory
    Fresnel diffraction theory is a wave-optics framework that describes how light diffracts when source or observation distances are finite, using near-field approximations derived from the Huygens–Fresnel principle.
  • D. Wiener–Hopf equations
    Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
  • E. Rayleigh waves
    Rayleigh waves are a type of surface seismic wave that travel along the ground with a rolling motion, causing both vertical and horizontal ground displacement.
  • 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_69c69f3567008190ab01d2ca7b53584a completed March 27, 2026, 3:16 p.m.
NER Named-entity recognition batch_69c6f9fa633081909660f653f5b073cd completed March 27, 2026, 9:43 p.m.
NED1 Entity disambiguation (via context triple) batch_69c8684a98fc8190b3d0568f13ccd123 completed March 28, 2026, 11:46 p.m.
NEDg Description generation batch_69c8691bf25881909585bb04404f90da completed March 28, 2026, 11:49 p.m.
NED2 Entity disambiguation (via description) batch_69c8698f70a081909633b3b6d7fd45e1 completed March 28, 2026, 11:51 p.m.
Created at: March 27, 2026, 3:54 p.m.