A generalized tight-binding molecular-dynamics technique that correctl
y treats interactions in nontetrahedral as well as multicoordinated co
valent systems is used to obtain equilibrium geometries for carbon clu
sters of arbitrary size. For N less-than-or-equal-to 10 the ground sta
tes are determined to be linear chains for odd N and closed rings for
even N. The minimum-energy cyclic structures exhibit symmetry-lowering
in-plane distortions rather than being regular polygons. These findin
gs are in complete agreement with available ab initio results. Large c
lusters of atoms are used to demonstrate the validity of the method to
simulate bulklike diamond and single-layer graphitic structures. The
well-known 2 x 1 reconstruction for the (001) face is observed for the
diamond cluster.