the adsorption process is discussed in terms of electronic structure and energetics.Comparison of available experimental data and previous theoretical studies with the present results show that medium-sized model clusters give a reasonable description of the adsorption process, independent of the embedding method. For very small models, even the qualitative picture of the K-TiO interaction changes when different embedding 2 techniques are used. These results can be generalized to develop rules for designing cluster models for metal adsorption on rutile surfaces.