The nature of the anomalies observed in the helium-atom scattering (HA
S) and electron energy-loss (EELS) spectra of hydrogenated W(110) surf
aces is investigated by calculating the full dispersion of the Rayleig
h mode, using density-functional perturbation theory. We find excellen
t agreement between our calculations and the upper anomalous branch wh
ich is observed with both HAS and EELS. The lower branch-which is only
detected by HAS-is instead not predicted. A hitherto unrecognized mec
hanism possibly responsible for the appearance of the second branch is
proposed.