Table 1 Mean time and number of basin-hopping steps taken to find the global minimum for selected LJ_{n}clusters with the MCM procedure. The standard deviation is similar to the mean time in each case. The statistics were obtained for 1000 random starting points for each size with a fixed acceptance ratio of 0.5 and temperature T* (reduced units). T* is the size-dependent optimal temperature that gives the shortest mean time for the given acceptance ratio; it was determined by varying T in steps of 0.1 and gathering statistics for samples of 100 random starting points. The cpu times are for a 250 MHz Sun Ultra II processor. rel., relative.