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Original scientific paper

Omega Polynomial in a Combined Coronene-Sumanene Covering

Mahboubeh Saheli ; Departmant of Mathematics, Faculty of Science, University of Kashan, Kashan 87317-51167, I.R. Iran
Mahdieh Neamati ; Departmant of Mathematics, Faculty of Science, University of Kashan, Kashan 87317-51167, I.R. Iran
Aleksandar Ilić ; Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
Mircea V. Diudea ; Faculty of Chemistry and Chemical Engineering, "Babes-Bolyai" University, 400028 Cluj, Romania


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Abstract

A new graphene pattern, called CorSu, was designed by combining the patterns of coronene [6:66]
and sumanene [6:(5,6)3]. The energy of some small fragments of this lattice, functionalized by groups
containing oxygen, carbon, nitrogen and phosphorus, was evaluated at the level of semiempirical method
PM3. The topology of the network is described in terms of Omega counting polynomial. Close formulas
for calculating the Omega polynomial and the Cluj-Ilmenau index derived from this polynomial are given.

Keywords

counting polynomial; lattice; CI index; coronene; sumanene

Hrčak ID:

62643

URI

https://hrcak.srce.hr/62643

Publication date:

1.12.2010.

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