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As for the free energy of nanoparticle, it may be expressed as a sum of contributions from the particle bulk, surfaces, edges, and corners. However, Barnard et al. showed that edge and corner contributions to the total energy rapidly diminish with increase in nanocrystal size.  Further, recently calculated phase diagrams for gold nanoparticle show that the melting of nanoparticle is preceded by surface roughening of nanoparticle. Therefore, in order to research the melting transition of small clusters, that we represent the free energies of nanostructural materials as the sum of central bulk and surface free energy is reasonable. Actually, this approach has been adopted by many researchers. For example, Safaei had calculated melting point of Sn nanoparticles, and Lu et al. had researched the thermodynamics properties of silver nanoparticles base on the approach.

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sltmac(½ð±Ò+1): 3Q 2011-06-11 16:28:21
8569636.hi(½ð±Ò+10, ·­ÒëEPI+1): лл£¡ 2011-06-11 23:15:24
As for the free energy of nanoparticle, it may be defined as a sum of contributions from the particle bulk, surfaces, edges, and corners. However, with increase in nanocrystal size Barnard et al. showed that edge and corner contributions to the total energy rapidly diminish.  Further, it is shown from recent calculated phase diagrams that before melting gold nanoparticle first
undergoes surface roughening. Therefore, in order to investigate the melting transition of nanoparticles, it is reasonable to represent the free energies of nanoparticles as the sum of central bulk and surface free energy. As a matter of fact, this approach has been adopted by many researchers. For example, Safaei had calculated melting point of Sn nanoparticles, and Lu et al. had researched the thermodynamic properties of silver nanoparticles.


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