On Some Fullerenes with Cubic symmetry
Francisco J. Sánchez‐Bernabe, Maria del Rosario Escalona-Magdaleno
Abstract
Abstract We consider several fullerenes with cubic symmetry, this means that the graph associated with the fullerene has six faces and eight vertices. One of them is C 24 with octagonal faces and triangular vertex. Then, fullerene C 32 has a more elaborated structure, because is formed by six squares, and twelve hexagons. The next fullerene that we review is C 48 which is formed by six octagons, eight hexagons, and twelve squares. The three previous fullerenes are well known. Our following fullerene is C 80 with six faces integrated by four heptagons, and one centred square. Then, we present C 128 with six faces formed by five hexagons, and two heptagons, with vertex formed by three pentagons, each of them. Furthermore, we consider the classical fullerene C 152 with six faces integrated by six hexagons with one centred hexagon. Finally, we present C 164 which is formed by pentagons, hexagons, and heptagons.