There have been many inelastic neutron scattering as well as theoretic
al studies of monoatomic liquid metals, but there have been very few s
tudies of metallic alloys. A new effective pair-potential for equiatom
ic liquid Na-Cs alloy is computed treating the system as made up of ef
fective atoms. This potential agrees closely to that obtained using pa
rtial pair-potentials. The dispersion relations are computed using thi
s potential: The longitudinal mode shows large oscillations depicting
the collective excitations. The transverse mode does not show any osci
llation. The collective excitations of longitudinal branch match quali
tatively quite well with Neturon Inelastic Stattering (NIS) results. T
he elastic part of the phonon dispersion curves provide sound velociti
es and the value lies very close to experimental one. The elastic cons
tants and Debye temperature of this alloy are calculated through the d
erived sound velocities.