Application of Redfield-Pólya's Theorem to the enumeration of the substitution isomers of linear polycyclic aromatic hydrocarbons

Research output: Contribution to journalArticle

Abstract

In this brief work, we shall obtain the general formulae for the enumeration of the linear polycyclic aromatic hydrocarbons isomers when the hydrogen atom or the CH group is substituted by one or more atoms or different groups (substitution isomers). Such formulae have been derived from Redfield-Pólya's Theorem (Burnside in Theory of groups of finite order. Cambridge University Press, Cambridge, 1897; Redfield in Am J Math 49:433, 1927) application.Abstract Graphical Output: [Figure not available: see fulltext.]

Original languageEnglish
Pages (from-to)2264-2270
Number of pages7
JournalJournal of Mathematical Chemistry
Volume51
Issue number9
DOIs
Publication statusPublished - 1 Oct 2013
Externally publishedYes

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Polycyclic Aromatic Hydrocarbons
Hydrocarbons
Polycyclic aromatic hydrocarbons
Isomers
Enumeration
Substitution
Substitution reactions
Atoms
Theorem
Hydrogen
Hydrogen Atom
Figure
Output

Keywords

  • Polycyclic aromatic hydrocarbons (PAHs)
  • Redfield-Pólya's Theorem
  • Substitution isomers

ASJC Scopus subject areas

  • Chemistry(all)
  • Applied Mathematics

Cite this

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abstract = "In this brief work, we shall obtain the general formulae for the enumeration of the linear polycyclic aromatic hydrocarbons isomers when the hydrogen atom or the CH group is substituted by one or more atoms or different groups (substitution isomers). Such formulae have been derived from Redfield-P{\'o}lya's Theorem (Burnside in Theory of groups of finite order. Cambridge University Press, Cambridge, 1897; Redfield in Am J Math 49:433, 1927) application.Abstract Graphical Output: [Figure not available: see fulltext.]",
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AB - In this brief work, we shall obtain the general formulae for the enumeration of the linear polycyclic aromatic hydrocarbons isomers when the hydrogen atom or the CH group is substituted by one or more atoms or different groups (substitution isomers). Such formulae have been derived from Redfield-Pólya's Theorem (Burnside in Theory of groups of finite order. Cambridge University Press, Cambridge, 1897; Redfield in Am J Math 49:433, 1927) application.Abstract Graphical Output: [Figure not available: see fulltext.]

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