{"paper":{"title":"On a complementary scale of crystal-field strength","license":"","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"((1) Institute of Low Temperature, Jacek Mulak (1), Maciej Mulak (2), Poland), Poland (2) Institute of Physics, Polish Academy of Sciences, Structure Research, Wroclaw, Wroclaw University of Technology","submitted_at":"2006-10-12T18:58:53Z","abstract_excerpt":"A new measure of the crystal-field strength, complementary to the conventional one, is defined. It is based on the rotational invariants |B_{k0}|_{av} or |\\sum_{k}B_{k0}|_{av}, k=2,4,6, of the crystal-(ligand)-field (CF) Hamiltonian H_{CF} parametrizations, i.e. on the axial CF parameters modules averaged over all reference frame orientations. They turn out to be equal to |H_{CF}^{(k)}|_{av} and |H_{CF}|_{av}, respectively. While the traditional measure is established on the parametrization modules or on the second moment of the CF energy levels, the introduced scale employs rather the first m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0610094","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}