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Figure 4 | Nanoscale Research Letters

Figure 4

From: The effects of the size of nanocrystalline materials on their thermodynamic and mechanical properties

Figure 4

Effects of size on the mechanical and thermodynamic properties of nanocrystalline materials. Size dependence of (A) heat capacity C m [4648] and (B) Young’s modulus Y for Ag [43, 4547], (C) Debye temperature Θ D , [49, 19, 5052] and (D) diffusion activation energy Q d for Au [53, 19, 5052]. 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]).

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