A catalogue of growth transformations of fullerene polyhedra.
Carbon insertion or extrusion mechanisms transforming one fullerene to another are presented as patch replacements on the fullerene surface. A systematic catalogue is constructed for the topologically distinct local insertion/extrusion transformations of fullerenes, classified by patch boundary and pentagon content. All pairs of patches with the same boundary but different numbers of atoms, i.e., growth patches, containing up to five pentagons, with an upper limit for the boundary length that depends on the number of pentagons, are listed. New transformations and infinite series of transformations are identified.
Brinkmann
G
G
Fakultät für Mathematik, Universität Bielefeld, D 33501 Bielefeld, Germany.
Fowler
P W
PW