Static electronic perturbations of metallic surfaces

We present a theory of charge distributions induced at a jellium surface by a static applied potential. Exact expressions are derived for the changes in surface potential, and the total potential barrier in terms of the unperturbed electron distribution and the change in the latter due to adding electrons to the jellium. These results are applied to a simple chemisorption model and the induced dipole moment is calculated as a function of proton position for several $r_s$ values.