Document Type: Original Research Article


1 Chemistry and Chemical Engineering Research Center of Iran. Tehran, Iran.

2 Department of Chemistry, Faculty of Sciences, Tarbiat Modares University, Tehran 14115-175, Iran

3 Department of Mathematics, Payame Noor University, P. O. BOX 19395-3697, Tehran, Iran

4 Department of Mathematics, Azad University, Bonab Branch, Bonab, Iran


Fullerene chemistry is nowadays a well-established field of both theoretical and experimental investigations‎. This study considers the symmetry of small fullerenes cage C24 and C28‎. ‎Using PM3 program for C24 and C28 fullerenes, Oh and Td symmetry were confirmed, respectively‎. ‎ The mentioned algorithm to compute the automorphism group of these fullerenes with connectivity and geometry of their symmetry point groups‎ was improved. ‎Here‎, ‎we computed the symmetry of these small fullerenes by simple method such as Groups, Algorithms and Programming (‎GAP) system‎. ‎It was proved that there are groups of order 48 which has 10 conjugacy classes for C24 and 24 which has 5 conjugacy classes for C28, respectively‎. ‎Also, the conjugacy classes and character table were computed‎.

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