The dipole surface plasmon for K(N)+ clusters is analyzed using the RP
A sum-rule technique within a semiclassical Density Functional Theory
and the spherical jellium model. The theoretical frequencies are blue
shifted as compared to the experimental ones. The discrepancies betwee
n theory and experiment are reduced when considering non-local energy
contributions in the density functional and phenomenologically includi
ng atomic lattice effects by means of an electron effective mass and a
static dielectric constant.