{"title":"Criteria for a Structure to be Mesoionic","authors":"Georgii N. Sizov, E. Babaev","doi":"10.46793/match.89-1.005s","DOIUrl":null,"url":null,"abstract":"In the article, at the mathematical level of rigor, it is shown that the pair of concepts \"covalence – mesoionicity\" correlates in the same way as the pair \"kekuleness – non-kekuleness\". A criterion for a structure to be mesoionic (mesoionicity criterion) is formulated and proved, which makes it possible to enumerate all mono-charged mesoionic structures (mesomeric betaines) on a given graph. The mesoionicity criterion and the Kasteleyn theorem (on counting the number of perfect matchings in a graph) were used as the basis for a computer program that classifies dipolar resonance structures. The work of the program is demonstrated on the lists of obtained mesoionic structures. A general approach to mesoionicity is discussed.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.9000,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Match-Communications in Mathematical and in Computer Chemistry","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.46793/match.89-1.005s","RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In the article, at the mathematical level of rigor, it is shown that the pair of concepts "covalence – mesoionicity" correlates in the same way as the pair "kekuleness – non-kekuleness". A criterion for a structure to be mesoionic (mesoionicity criterion) is formulated and proved, which makes it possible to enumerate all mono-charged mesoionic structures (mesomeric betaines) on a given graph. The mesoionicity criterion and the Kasteleyn theorem (on counting the number of perfect matchings in a graph) were used as the basis for a computer program that classifies dipolar resonance structures. The work of the program is demonstrated on the lists of obtained mesoionic structures. A general approach to mesoionicity is discussed.
期刊介绍:
MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.