Counting symmetric and near-symmetric fullerene patches

We establish an exact method for drawing fullerene patches in the hexagonal tessellation of the plane. Using these embeddings, we then provide a closed form equation for the total number of symmetric and near-symmetric fullerene patches, up to isomorphism. The function depends only on parameters of...

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Bibliographic Details
Published inJournal of mathematical chemistry Vol. 52; no. 9; pp. 2423 - 2441
Main Authors Graves, Christina, Graves, Stephen J.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.10.2014
Subjects
Chemistry
Chemistry and Materials Science
Math. Applications in Chemistry
Original Paper
Physical Chemistry
Theoretical and Computational Chemistry
Fullerene
Pseudoconvex patch
Boundary codes
Fullerene patch
Nanocone
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Summary:We establish an exact method for drawing fullerene patches in the hexagonal tessellation of the plane. Using these embeddings, we then provide a closed form equation for the total number of symmetric and near-symmetric fullerene patches, up to isomorphism. The function depends only on parameters of the boundary code.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-014-0393-2