Prediction of fullerene packing in C60 and C70 crystals

Abstract

Recent breakthroughs in synthesizing large amounts of C_(60), C_(70) and other fullerenes have made possible studies of the struc-tures and properties of fullerene crystals. Using a force field developed recently for sp carbon atoms, we predict here the crystal structures and cohesive energies for close-packed crystals of C_(60) and C_(70). We predict, and confirm from calculations, that for C_(60) face-centred cubic (f.c.c.) packing is more stable than hexagonal close-packing (h.c.p.), by 0.90 kcal mol−1, whereas for C70 h.c.p. is more stable than f.c.c. by 0.35 kcal mol^(−1). The cubic structure of C60 undergoes an orthorhombic distortion to space group Cmca at 0 K. At higher temperatures there is rapid reorientation (but not free rotation) of C_(60) molecules, suggesting that above about 200 K a phase transition occurs to an orientationally disordered, f.c.c. structure (with a room-temperature lattice parameter of 14.13 A). This may correspond to the first-order transition observed at 249 K. The threefold axes of the C_(60) molecules in the low-temperature structure are not aligned with the threefold crystallographic axes.