STRUCTURE AND ENERGETICS OF GIANT FULLERENES - AN ORDER-N MOLECULAR-DYNAMICS STUDY

We present a molecular-dynamics study of the energetics and structures of very large carbon cage clusters, which has been performed using ti ght-binding methods, both empirical and ab initio. The use of an order -N scheme, which provides the solution of the electronic problem with an effort proportional to the size of the system, allowed us to study clusters with up to 3840 atoms. We have considered clusters with spher ical and with toroidal topology, and systematically find that spherica l clusters have lower energy than toroidal clusters of the same size. However, the toroidal C-360 and larger clusters have lower energy per atom than the fullerene C-60. Concerning the spherical fullerenes, we show that, in all cases, their minimum energy shape is markedly polyhe dral rather than spherical. The clusters present nearly flat faces bet ween each three contiguous protruding pentagon sites. The surfaces are nevertheless smooth, without sharp edges in the lines joining the pen tagons, which would be present in a perfect truncated icosahedron. We also discuss the energetics of the clusters as a function of their siz e, and the validity of different functional forms proposed in the lite rature.