{"paper":{"title":"A Vector-Based Representation of the Chemical Bond for the Substituted Torsion of Biphenyl","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Jiahui Li, Samantha Jenkins, Steven R. Kirk, Tianlv Xu, Weijie Huang","submitted_at":"2018-04-04T09:55:55Z","abstract_excerpt":"We use a new interpretation of the chemical bond within QTAIM. The bond-path framework set $\\mathbb{B} = \\{p, q, r\\}$ with associated linkages with lengths $\\mathbb{H}^*,m\\mathbb{H}$ and the familiar bond-path length is used to describe a torsion $\\theta$, $0.0^{\\circ} \\leq \\theta \\lt 22.0^{\\circ}$ of \\emph{para}-substituted biphenyl, $\\mathrm{C}_{12}\\mathrm{H}_{9-x}$, $x = \\mathrm{N}(\\mathrm{CH}_3)_2$, $\\mathrm{NH}_2$, $\\mathrm{CH}_3$, CHO, CN, $\\mathrm{NO}_{2}$. We include consideration of the H---H bonding interactions and find that the lengths $\\mathbb{H} \\gt \\mathbb{H}^{*}$ that we explai"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01892","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"}