A parameter-free model is presented to study the energy loss of fast p
rotons specularly reflected from metal surfaces. The contributions to
the energy loss from excitation of valence-band electrons and ionizati
on of localized target-atom electronic states are calculated separatel
y. The former is calculated from the induced surface wake potential us
ing linear response theory and the specular-reflection model, while th
e latter is calculated in the first Born approximation. The results ob
tained are in good agreement with available experimental data. However
, the experimental qualitative trend of the energy loss as a function
of the angle of incidence is obtained when the valence-band electron m
odel is replaced by localized target atom electron states, though with
a worse quantitative agreement.