A graph theoretical approach to cis/trans isomerism
Author(s) -
Boris Furtula,
Giorgi Lekishvili,
Iván Gutman
Publication year - 2014
Publication title -
journal of the serbian chemical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.227
H-Index - 45
eISSN - 1820-7421
pISSN - 0352-5139
DOI - 10.2298/jsc140120010f
Subject(s) - adjacency matrix , conformational isomerism , polyene , graph energy , graph , molecular graph , adjacency list , computational chemistry , diagrammatic reasoning , graph theory , combinatorics , mathematics , chemistry , computer science , physics , voltage graph , quantum mechanics , molecule , line graph , organic chemistry , programming language
A simple graph-theory-based model is put forward, by means of which it is possible to express the energy difference between geometrically non-equivalent forms of a conjugated polyene. This is achieved by modifying the adjacency matrix of the molecular graph, and including into it information on cis/trans constellations. The total π-electron energy thus calculated is in excellent agreement with the enthalpies of the underlying isomers and conformers. [Projekat Ministarstva nauke Republike Srbije, br. 174033
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