Many interatomic potentials have been developed in order to describe the interaction between atoms or molecules in condensed matter . Among them, parametric two-body potentials, expressed by analytical relations, allow to describe the intra-particle potential energy as a function of position, the minimum value being the binding energy. Within this framework, potentials such as Morse, Mie or Lennard-Jones have been successfully used to describe the bonding of atoms in crystal structures. In solids, the binding energy can be evaluated from experiment via measurements of certain properties such as sublimation energy or from simulation via molecular dynamics . Inter-atomic binding energy can be associated with physical phenomena in condensed matter. For example, a binding energy relationship can describe cohesion and other properties of metals . In a nuclear reactor, the binding energy of nuclei in the material lattice and the kinetic energy of slow neutrons have the same order of magnitude, and therefore neutron scattering is affected . In the present work, the relation between the binding energy and the sound velocity in crystals is explored.