Energetic distributions of randomly generated structures with and without symmetry constraints for the (a) LJ₃₈ and (b) LJ₁₀₀ clusters. Energies are shown relative to the global minimum. The LJ potential for a pair of atoms is given by U ij = ε [(r/ r ij ) 12 − 2(r/ r ij ) 6 ], where ε and r are the pair equilibrium well depth and separation, respectively. The reduced units, i.e., ε = r = 1 are employed throughout. Reprinted from Ref. [49], with the permission of AIP Publishing.