Numerical investigations of the vibrational eigenmodes of amorphous Ni
xZr100-x alloys are presented. Structural models are prepared by molec
ular dynamics simulations of the quenching processes, based on interat
omic forces derived using a tight-binding-bond approach. The vibration
al properties are investigated via a direct diagonalization of the dyn
amical matrix for N = 729-atom models, and via recursion calculations
of the vibrational spectral functions, partial and total dynamical str
ucture factors and vibrational densities of states for large N = 2916-
atom models. The static structure of the NixZr100-x glasses is charact
erized by a pronounced chemical and topological short-range order (SRO
). We investigate in detail the manifestation of the SRO in the partia
l dynamic spectral functions and structure factors S-IJ(k, omega). We
discuss the possibility of measuring partial dynamic structure factors
using inelastic neutron scattering and demonstrate that our results a
re in good agreement with the existing experimental data on the total
dynamical structure factors. We show that, although most eigenmodes ar
e extended, localized modes can be found at the upper and lower edges
of the frequency spectrum. Of particular interest is the prediction of
low-energy localized modes, which have a profound influence on the lo
w-temperature thermodynamic properties.