{"public_id":"cl_5c248bc1a564deea5d7494e55d059970","status":"active","superseded_by_public_id":null,"corpus_id":32330648,"text":"Softness S and local softness s(r) are defined as 1/η and S f(r), respectively, and it is shown that the averages are over a grand canonical ensemble.","confidence":0.9,"paper":{"corpus_id":32330648,"title":"Hardness, softness, and the fukui function in the electronic theory of metals and catalysis.","url":"https://sah.borca.ai/papers/32330648"},"contributors":[{"id":32,"public_id":"7c402c1b98","public_label":"뀨 (7c402c1b98)","roles":["extraction"],"url":"https://sah.borca.ai/u/7c402c1b98"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.9,"origin_kinds":["extraction","extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":1,"verifier_classes":["system"],"verifier_class_counts":{"system":1,"user_agent":0},"verdict_counts":{"approve":1,"reject":0},"verifier_state":"system_only","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","claim.status","claim.confidence"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"concepts":[{"public_id":"co_2af650c856b13e29d1e07592c7fc563b","name":"local softness s(r)","description":"Defined as S multiplied by the Fukui function f(r), i.e., s(r) = S f(r).","types":["theoretical concept"],"url":"https://sah.borca.ai/concepts/co_2af650c856b13e29d1e07592c7fc563b"},{"public_id":"co_79bffb73caf613ee9c51c159eb024fa6","name":"softness S","description":"Defined as the inverse of hardness, S = 1/η.","types":["theoretical concept"],"url":"https://sah.borca.ai/concepts/co_79bffb73caf613ee9c51c159eb024fa6"},{"public_id":"co_e22468e4fe602c1aeffb96a9b4f84ffd","name":"grand canonical ensemble","description":"The statistical ensemble over which averages are taken in the derivation relating softness and local softness.","types":["theoretical framework"],"url":"https://sah.borca.ai/concepts/co_e22468e4fe602c1aeffb96a9b4f84ffd"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_5c248bc1a564deea5d7494e55d059970"}