“…Although both molar volume and surface energy are T -dependent quantities, the total value of Δ H i,nano ex (as it is at the dropping temperature) is lost due to the elimination of the surface of the nanoparticles upon their dissolution in the liquid alloy, and therefore, the measured nanoheat-effect is not T -dependent. The temperature dependence of the enthalpy term of the surface energy is written as 28
where σ sg, H ,0 K (J·m –2 ) is the surface energy at T = 0 K, α is the ratio of broken bonds on the surface of the solid metal, C p (J·mol –1 K –1 ) is the heat capacity of the bulk solid metal, f is the geometric coefficient being a function of bulk and surface packing fractions, 28 N Av = 6.02 · 10 23 mol –1 is the Avogadro number. For solid cobalt, the following approximated value follows from eq 8 at T D = 298 K using the data of Mezey and Giber 29 for the surface structure and for σ sg,0 K , the thermodynamic data of the JANAF table 30 and the volumetric data of Touloukian et al: 31 σ sg, H , T D ≅ (2.80 ± 0.15) J·m –2 .…”