Small clusters of 3 d metals Ni/Ni(001), Cu/Cu(001), 4 d -Pd/Pd(001), Ag/Ag(001), 5 d -Pt/Pt(001), and Au/Au(001) are investigated by semiempirical methods using multiparticle interatomic interaction potentials. It is shown that the same magic numbers (4, 6, and 9) are characteristic for all metals indicated; these numbers are determined by the symmetry characteristics of the clusters, related to the morphology of the fcc (001) substrate. It is shown for Pt/Pt(111) that small clusters of seven, ten, and more atoms are stable for the fcc (111) surface. This confirms that the magic numbers are associated with the symmetry of the clusters.

The function of symmetlized harmonics expansion [3] was used to con-ect the intensity for prefen-ed 01ientation.The accuracy of refined parameters was improved compared to the result obtained by using single scan datasets.The present technique will be applied to powder specimens with prefe1Ted orientation effect.

The results of the modeling of the Ag(100) surface by the method of molecular dynamics are presented. The generalized Lennard-Jones potential is used to describe interparticle interactions. Analysis of the results performed by the method of statistical geometry shows that the melting of the surface layers of this structure begins at 1000 K.