The inhomogeneous elastic properties of metallic nanocrystals are studied u
sing semiempirical potentials for Au. Pb, Ag, and Cu. The enhanced low- and
high-frequency modes are found to be spatially localized in two shells, a
soft surface shell and a hard transition shell. Our analysis shows that the
linear frequency dependence of the vibrational density of states is attrib
uted to the two-dimensional nature of the surface shell that is independent
of the system size, while the high-frequency tail mainly comes from the tr
ansition shell.