A relation between the surface energy and the Debye temperature for cubic solids

Abstract
It is shown that a phenomenological relation exists between the Debye temperature θ (in degree Kelvin) and the surface energy Γ (in ergs/cm2) of cubic solids: , where M is the atomic weight. This relation is derived theoretically in the Debye isotropic approximation by assuming that the interatomic potential is central. No restrictions are imposed on the range of the potential. The relation is obeyed very well by the observed values of θ and Γ in the case of many solids.