A method for selectively dissolving the beta (β) phase of a titanium alloy out of the surface of the alloy, thereby leaving behind a nano-scale porous surface having enhanced bonding properties with either a biological tissue, such as bone, or an adhesive material, such as a polymer or ceramic by immersing the alloy in an ionic aqueous solution containing high levels of hydrogen peroxide and then exposing the alloy to an electrochemical voltage process resulting in the selective dissolution of the beta phase to form a nano-topographic metallic surface.