Number of isomers in icosahedral fullerene C60 and C80 series

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Date
2001
Authors
Kornilov, M.
Ljubchuk, T.
Plakhotnyk, V.
Zamkovyi, V.
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Abstract
The numbers of isomers in icosahedral fullerene C60 and Cg0 series have been enumerated by applying Polya's theorem and analysing symmetries of their molecular frameworks. Cycle indices have been deduced for chiral and achiral derivatives. Program operating with polydigital numbers have been applied to calculate numbers of isomeric derivatives up to C540.
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Keywords
isomer, applying Polya's, icosahedral fullerene
Citation
Number of isomers in icosahedral fullerene C60 and C80 series / M. Yu. Kornilov, T. V. Ljubchuk, S. D. Isaev, V. V. Plakhotnyk, V. I. Zamkovyi // Наукові записки НаУКМА,. - 2001. - Т. 19 : Спеціальний випуск, Ч. 2. - C. 447-452.