Abstract. The frequency of collision of adsorbed particles is of interest for two-dimensional nuclei formation in crystal growth and for growth of two-dimensional nano-particles. The interaction of two particles and their coalescence is impossible without collision. The density of particles (dimmers, trimmers etc.) is proportional to frequency of collisions. It has been assumed that the crystal surface is isotropic. The adsorbed particles, consisting of i-atoms, having radius r_i, migrate by velocity v_i and free path length L_i over the substrate. The probability for collision ω(x) between two kinds of particles i and a_k has been determined. An expression for the number of collisions per unit surface area per unit time has been derived. The number of collisions per unit length of a straight growth step per unit time has also been evaluated.

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