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 language | English |
|---|---|
| Pages (from-to) | 2264-2270 |
| Number of pages | 7 |
| Journal | Journal of Mathematical Chemistry |
| Volume | 51 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 1 Oct 2013 |
| Externally published | Yes |
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Keywords
- Polycyclic aromatic hydrocarbons (PAHs)
- Redfield-Pólya's Theorem
- Substitution isomers
ASJC Scopus subject areas
- Chemistry(all)
- Applied Mathematics
Cite this
Application of Redfield-Pólya's Theorem to the enumeration of the substitution isomers of linear polycyclic aromatic hydrocarbons. / Benassi, Enrico.
In: Journal of Mathematical Chemistry, Vol. 51, No. 9, 01.10.2013, p. 2264-2270.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Application of Redfield-Pólya's Theorem to the enumeration of the substitution isomers of linear polycyclic aromatic hydrocarbons
AU - Benassi, Enrico
PY - 2013/10/1
Y1 - 2013/10/1
N2 - 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.]
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.]
KW - Polycyclic aromatic hydrocarbons (PAHs)
KW - Redfield-Pólya's Theorem
KW - Substitution isomers
UR - http://www.scopus.com/inward/record.url?scp=84883744655&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84883744655&partnerID=8YFLogxK
U2 - 10.1007/s10910-013-0242-8
DO - 10.1007/s10910-013-0242-8
M3 - Article
VL - 51
SP - 2264
EP - 2270
JO - Journal of Mathematical Chemistry
JF - Journal of Mathematical Chemistry
SN - 0259-9791
IS - 9
ER -