Research Article

Size-Dependent Elastic Modulus and Vibration Frequency of Nanocrystals

Figure 2

Size-dependent elastic modulus and vibration frequency of TiO2 nanocrystals. In (6), with the lattice constant a = 0.458 nm [24]. Sv 0.4Sm = 0.4Hm/Tm = 12.576 Jmol-1 K-1 for semiconductors [25]. = M/ρ with the molar mass M = 79.88 g mol-1 and the density  g cm-3 [24], , Other parameters are in Table 1.
670857.fig.002