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Schematic illustration of the core-shell structure of a nanocrystal with the volume and area of and . The black spherical shell represents the surface layer of the nanocrystal.
The surface Young’s modulus as a function of the diameter of the nanocrystal (a) and effective Young’s modulus (b). The dash lines are the corresponding bulk values. The inset in (a) is the ratio of .
The vibration frequency as a function of the diameter of the nanocrystal. The dash line is the bulk value and the black solid circle is the experimental value. The solid line denotes the theoretical prediction in terms of Eq. (10).
Calculating parameters of cubic sphalerite ZnS. The average atomic diameter .
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