Figure 4From: The effects of the size of nanocrystalline materials on their thermodynamic and mechanical propertiesEffects of size on the mechanical and thermodynamic properties of nanocrystalline materials. Size dependence of (A) heat capacity C m [46–48] and (B) Young’s modulus Y for Ag [43, 45–47], (C) Debye temperature Θ D , [49, 19, 50–52] and (D) diffusion activation energy Q d for Au [53, 19, 50–52]. Solid lines refer to parameters calculated from Equation 9 (our model prediction). The white circle is plotted using Equation 4 and experimental data for the melting points T m . The solid triangles show the experimental data (r0Ag = 0.1444 nm, σAg = 1.998 N/m, Cm Ag = 25.36 J/mol · K, YAg = 80 GPa; r0Au = 0.1442 nm, σAu = 1.331 N/m, ΘD Au = 184.59 K, Qd Au = 108 KJ/mol [39, 40, 48, 54]).Back to article page