Stability of interface(s) and surface(s) of nano-sized metallic system.

When two or more metallic elements ( either in solid, liquid or gaseous phases ) are brought in contact (say, mixed together), nano sized interfaces/surfaces are developed . The thermodynamic and kinetics of these micro phases dictate whether one succeeds in getting homogenous , heterogeneous or segregation of the component elements. Mechanical and thermodynamic stabilities of the micro phases are key to fabricating materials of low dimension. The driving force for the formation of the product ( interfaces or surfaces) is controlled by the ( negative) difference of the Gibbs energy of the product system and the initial Gibbs energy of the parent elements at constant T and P. In the background knowledge of the bulk thermodynamics , we intend to formulate the Gibbs energies for the surfaces, interfaces and interface phase in terms of enthalpy and entropy contributions. Its growth strongly depends on geometry and the dimension of the of nano sized phases which have to be taken into account in such formalism . The molar fractions of the components of the alloy in a given phase at the interface/surface shall be determined by minimizing the surface energy. Our developed formalism will provide a thermodynamic basis to monitor the stability of the materials of low dimensions, vis a vis, helps to identify the priory conditions necessary to synthesize intermetallic interfaces.