title: Systematics of high-genus fullerenes.
abstract: In this article, we present a systematic way to classify a family of high-genus fullerenes (HGFs) by decomposing them into two types of necklike structures, which are the negatively curved parts of parent toroidal carbon nanotubes. By replacing the faces of a uniform polyhedron with these necks, an HGF polyhedron corresponding to the vertex configuration of the polyhedron can be obtained. HGF polyhedra including tetrahedron, cube, octahedron, dodecahedron, icosahedron, and truncated icosahedron are proposed under the same construction scheme, which contains nonhexagons other than heptagons. Moreover, simple criteria for determining the stabilities of the proposed HGFs based on four geometric parameters are discussed.
authors.affiliation: Department of Chemistry and Center for Theoretical Sciences, National Taiwan University, Taipei, Taiwan, ROC.
authors.forename: Chern
authors.initials: C
authors.lastname: Chuang
authors.forename: Bih-Yaw
authors.initials: BY
authors.lastname: Jin