A simple pseudopotential (PP) model developed by us earlier was used here to study lattice dynamics and lattice statics of copper. Comparison of the accuracy attainable in different model calculations of the off-symmetry phonon frequencies was made, and the PP model appeared to be at least as accurate as the embedded atom method (EAM). We suggest that calculation of further lattice properties is necessary to evaluate any microscopic model properly. As an example we give a brief review of the PP model application in the lattice dynamics of alloys including the calculation of frequency shifts in different palladium-based alloys.