Predicting the structure of atomic clusters is one of the outstanding
problems in condensed matter physics. Traditional theoretical approach
es are hindered by the large number of degrees of freedom, and the lac
k of symmetry in these systems. Some new computational techniques for
predicting the structural properties of small silicon clusters will be
illustrated. The emphasis of this effort is on simulated-annealing pr
ocedures based on Langevin dynamics. euantum forces, derived from ab i
nitio pseudopotential calculations, are incorporated in these simulati
ons. These forces can be efficiently calculated using higher-order fin
ite difference methods.