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Entropy/information bond indices of molecular fragments
Authors:Roman?F.?Nalewajski  author-information"  >  author-information__contact u-icon-before"  >  mailto:Nalewajs@chemia.uj.edu.pl"   title="  Nalewajs@chemia.uj.edu.pl"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Faculty of Chemistry, Jagiellonian University, R. Ingardena 3, 30-060 Cracow, Poland
Abstract:The communication channels of the disconnected (mutually non-bonded, closed) parts of the molecule are investigated. The entropy/information indices of such subsystems are proposed as measures of the intra-fragment (internal) information bond-order and its covalent/ionic components. The molecular fragment bond-order conservation and a competition between its ionic and covalent contributions are examined. An approximate scheme in the spirit of the grouping theorem of the Information Theory (IT), for combining the subsystem entropy/information data into the corresponding global quantities describing the system as a whole, is derived and tested. It uses the independent subsystem approximation to estimate the entropy/information indices of the inter-fragment (external) chemical interactions in the molecule. The applications to simple orbital models, including the three-orbital model of the transition state complex and the π bond systems (butadiene and benzene) in the Hückel theory approximation, are used to illustrate the concepts proposed.
Keywords:atoms-in-molecules  bond-orders  chemical bonds communication theory  entropy information  information theory  molecular fragments
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