“…Based on the definition of surface-to-volume atomic ratio α , there should be a direct relationship among the values of α for nanoparticles, nanowires and nanofilms with the same size R. For nanoparticles, R means the normal radius; for nanowires, R denotes the radius of the cross section; and for nanofilms, R represents half the value of the thickness. Accordingly it is deduced that for different low-dimensional systems, α is in the ratio of sphere α : wire α : film α = 3:2:1, where sphere α , wire α and film α are the surface-tovolume atomic ratio for nanoparticles, nanowires and nanofilms, respectively [19,20]. Then the above thermodynamic formulae for particles can be extended to describe the properties of corresponding wires or films, for example, from Eqs.…”