This book contains theoretical investigations of properties of liquid binary alloys. We have reported the results of the phonon curves and related elastic properties of three different liquid Li-Ba binary alloys. In this present study, we have incorporated the Ashcroft core empty potential to obtain the satisfactory results for lithium based binary alloys. The scope for future work and possible addendum of the present study are also pointed out. And finally, I am glad to publish my work in this publication house.