Momentum-resolved inelastic electron spectroscopy has been utilized to
measure the surface-plasmon dispersion and damping for thick Hg films
grown onto a Cu(100) substrate. Hg has been investigated since it off
ers an opportunity to examine the effects of the crystal potential on
the surface-plasmon dispersion, and to correlate the measurements on a
surface with those for collective excitations in clusters. The effect
s of the electronic band structure of Hg can be seen in the energy and
width of the surface plasmon as a function of momentum transfer q(par
allel to) Dynamical response calculations were performed for a semi-in
finite electron gas where several important aspects of the crystal pot
ential are taken into account in an average manner. These effects are
shown to lead to an overall lowering of the plasma frequency, to a fla
ttening of the momentum dispersion, and to a sizable broadening of the
plasmon linewidth relative to the behavior obtained for the simple me
tals. Even though the band structure effects in Hg are significant, th
ere is a quantitative correlation between the normalized energy and wi
dth of the surface plasmon as a function of q(parallel to) and the Mie
resonance seen in Hg clusters as a function the inverse of the radius
R.