{"id":"W4210564864","doi":"10.1007/s10698-022-09417-y","title":"Orthogonality properties of states, configurations, and orbitals","year":2022,"lang":"en","type":"article","venue":"Foundations of Chemistry","topic":"Advanced Chemical Physics Studies","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Quest University Canada; St. Francis Xavier University","funders":"","keywords":"Orthogonality; Linear combination of atomic orbitals; Molecular orbital; Slater-type orbital; Atomic orbital; Orthogonal basis; Quantum mechanics; Molecular orbital theory; Operator (biology); Physics; Mathematics; Chemistry; Geometry; Electron; Molecule","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00275242,0.0004675007,0.0005933831,0.002443374,0.001210012,0.003544179,0.0008163132,0.0009248185,0.006089978],"category_scores_gemma":[0.009229315,0.0003784611,0.0006591763,0.001345037,0.004066428,0.004506398,0.002116695,0.001825234,0.0005832827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000670058,"about_ca_system_score_gemma":0.001032553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008124509,"about_ca_topic_score_gemma":0.0006584972,"domain_scores_codex":[0.9979006,0.0005772528,0.0001413948,0.0003440618,0.0006730784,0.0003636187],"domain_scores_gemma":[0.9948747,0.002557282,0.0005944744,0.0007947701,0.0007473017,0.0004314261],"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":[0.00002673868,0.0000157011,0.0003443404,0.00001291678,0.000003519514,0.00002069548,0.00007393572,0.0004953139,0.0007432239,0.9945688,0.0003078705,0.00338702],"study_design_scores_gemma":[0.000009588421,0.00001391665,0.0004416072,0.0000113296,0.000004273176,0.00008380403,0.00007246254,0.008012942,0.0005562463,0.9899195,0.0008614453,0.00001290999],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6172093,0.00122255,0.2539418,0.002208538,0.0003646001,0.00008843836,0.0009643944,0.0001556151,0.1238448],"genre_scores_gemma":[0.9719378,0.0006656668,0.0208374,0.0002700388,0.0003467427,0.0001079646,0.0005437332,0.0001029793,0.005187527],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006089978,"threshold_uncertainty_score":0.02037305,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01419936785631035,"score_gpt":0.2461007312539255,"score_spread":0.2319013633976152,"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."}}