The electronic structure of the Li(110) surface is calculated within t
he self-consistent pseudopotential method. The calculation does not gi
ve any occupied surface state. At the same time, unoccupied resonance
surface states have been found at the <(Gamma) over bar> point and alo
ng the <(PH) over bar> symmetry direction. Image potential slates with
energies of E-1 = -0.73 eV and E-2 = -0.22 eV are predicted al the Ga
mma point. For the description of the image potential stales, we propo
se a one-dimensional model potential. The parameters of this potential
are determined with the use of experimental (or first-principles calc
ulation) values of the width and position of the energy gap at the <(G
amma)over bar> point and the energies E-0 and E-1 of the surface state
and first image potential state, respectively. Using this model poten
tial, we study the binding energies, wave functions and lifetime of im
age potential states on the Li(110), Cu(100), Cu(lll), Ag(100) and Ag(
111) surfaces. We also show that using the local part of the full, scr
eened, non-local pseudopotential can produce incorrect results for the
binding energy of the image slates. (C) 1997 Elsevier Science B.V.