Naslov
On the number of Kekule structures of fluoranthene congeners

Autori
Vukičević, Damir

Izvornik
Journal of the Serbian Chemical Society (0352-5139) 75 (2010), 8; 1093-1098

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
fluoranthenes; Kekulé structure; polycyclic aromatic hydrocarbons

Sažetak
The Kekulé structure count K of fluoranthene congeners is studied. It is shown that for such polycyclic conjugated π-electron systems, either K = 0 or K ≥ 3. Moreover, for every t ≥ 3, there are infinitely many fluoranthene congeners having exactly t Kekulé structures. Three classes of Kekuléan fluoranthenes are distinguished: i) Φ0 – fluoranthene congeners in which neither the male nor the female benzenoid fragment has Kekulé structures, ii) Φm – fluoranthene congeners in which the male benzenoid fragment has Kekulé structures, but the female does not, and iii) Φfm – fluoranthene congeners in which both the male and female benzenoid fragments have Kekulé structures. Necessary and sufficient conditions are established for each class, Φ = Φ0, Φm, Φfm, such that for a given positive integer t, there exist fluoranthene congeners in Φ with the property K = t.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Kemija

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