{"id":"W4405234961","doi":"10.3390/ma17246048","title":"The Generalized Phase Rule, the Extended Definition of the Degree of Freedom, the Component Rule and the Seven Independent Non-Compositional State Variables: To the 150th Anniversary of the Phase Rule of Gibbs","year":2024,"lang":"en","type":"article","venue":"Materials","topic":"nanoparticles nucleation surface interactions","field":"Earth and Planetary Sciences","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Central South University; McMaster University","keywords":"Phase rule; Phase diagram; Phase (matter); Mathematics; Degree (music); Component (thermodynamics); Sum rule in quantum mechanics; Unary operation; Field (mathematics); State (computer science); Ternary operation; Statistical physics; Thermodynamics; Physics; Combinatorics; Pure mathematics; Quantum mechanics; Algorithm; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003705297,0.0009625716,0.001170387,0.001963405,0.002003886,0.00393293,0.00210565,0.00258675,0.004083605],"category_scores_gemma":[0.007591554,0.000585751,0.0015466,0.001963694,0.01132449,0.007726576,0.002414646,0.006114963,0.001863237],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002140688,"about_ca_system_score_gemma":0.001697553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001520635,"about_ca_topic_score_gemma":0.001132282,"domain_scores_codex":[0.997035,0.00094824,0.0002474601,0.0008131879,0.0007540918,0.0002019116],"domain_scores_gemma":[0.9977488,0.001061199,0.0001986326,0.0004403911,0.0004498164,0.0001011759],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001077776,0.000004217942,0.00005156512,0.00004874634,0.00000430115,0.00002753625,0.00007820989,0.0005800454,0.0003813927,0.9886008,0.001565478,0.008646879],"study_design_scores_gemma":[0.000005160492,0.00001633457,0.00006386486,0.00004596974,0.000006710053,0.00009402534,0.00002462405,0.002873853,0.0007265494,0.9444523,0.05166619,0.00002429318],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0296762,0.04473359,0.7437991,0.00865862,0.01128722,0.0002316259,0.0008220359,0.0004808567,0.1603106],"genre_scores_gemma":[0.3604602,0.02197538,0.5419988,0.005851418,0.00685976,0.001204066,0.001128991,0.001061579,0.05945974],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004083605,"threshold_uncertainty_score":0.01959568,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02540941323637872,"score_gpt":0.2548079323151134,"score_spread":0.2293985190787347,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}