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Checking piezoelectric and polar records in the Materials Project and crystallographic databases against point-group inversion symmetry provides a clean, immediate empirical test. https://w3id.org/delphi/resource/assessment/curie1894-04--gemini http://purl.org/dc/terms/subject https://w3id.org/delphi/resource/concept/dataset-resolvability-0.2.0 https://w3id.org/delphi/resource/assessment/curie1894-04--gemini http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/LLMClaimAssessment https://w3id.org/delphi/resource/assessment/curie1894-04--gemini http://www.w3.org/2000/01/rdf-schema#comment Proposed test with existing data: Operationalize the necessity of absent symmetry elements by testing selection rules for crystal phenomena across the 32 point groups: specifically, test whether pyroelectricity occurs only in the 10 polar point groups (lacking inversion and mirror/rotation axes that reverse the polar axis) and piezoelectricity occurs only in the 20 non-centrosymmetric point groups (lacking inversion center -1, plus excluding 432). 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