Surface concentration profile and surface energy in binary alloys

An improved formulation for the orientation-dependence of multi-layer surface segregation is developed in terms of bond enthalpy and strain energy minimization. Inclusion of this result in the Gibbs adsorption isotherm yields the surface energy. Sample calculations of the surface energy isotherm for solid AuCu and liquid CuNi alloys are in good agreement with published experimental data. The conditions for the existence of an extremum in the surface energy isotherm, originally derived by Defay et al. from a monolayer model, are re-examined on the basis of a multi-layer model. Their results are found applicable to this more general situation in the absence of strain energy. An orientation-dependence of the extremum surface energy, but not of the composition at which the extremum surface energy occurs, is demonstrated.