Electronic states and phason lines on higher fullerenes

Summary form only given. For the geometrical understanding of general fullerenes, we propose the use of a projection method based on a honeycomb lattice. The formation of general fullerenes like C)/sub 60/, C)/sub 70/, C)/sub 76/, C)/sub 78/ ... is completely specified by the distribution of twelve pentagonal defects on a honeycomb lattice. Based on this method, we study the texture of the bond alternations on higher fullerenes, utilizing on the extended Su-Shrieffer-Heeger model to the honeycomb network where the the electron-phonon interaction are taken into account. We demonstrate that the lattice distortion and the charge distribution caused by the bond alternations are well understandable by introducing a concept of phason line on the geometries of higher fullerenes. The phason line is defined as the boundary between the domains where the Kekule patterns of bond alternations with different phase stand. Therefore the bond alternations give rise to be frustrated along the phason line and the lattice distortions axe enfeebled. The stability, reactivity, effect of electrons and holes doping and photo-excited states of higher fullerenes are discussed.