2007
DOI: 10.1088/0953-8984/19/21/216216
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Modelling the size effect on the melting temperature of nanoparticles, nanowires and nanofilms

Abstract: A model has been developed to account for the dependence of melting temperature on the size of nanosolids (nanoparticles, nanowires and nanofilms). In this model the effect of particle size and shape, lattice and surface packing factor, and the coordination number of the lattice and of the surface crystalline planes are considered. A general equation is proposed, having nonlinear form as a function of the reciprocal of nanosolid size. This model is consistent with reported experimental data for nanoparticles o… Show more

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Cited by 76 publications
(91 citation statements)
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“…3 Further studies were performed by a great number of researchers. [4][5][6][7][8][9][10][11][12] The results reveal that isolated nanoparticles and substrate-supported nanoparticles with relatively free surfaces usually exhibit a significant decrease in melting temperature as compared with the corresponding conventional bulk materials. The physical origin for this phenomenon is that the ratio of the number of surface-to-volume atoms is enormous, and the liquid/vapor interface energy is generally lower than the average solid/vapor interface energy.…”
Section: Thermodynamic Properties Of Silver Nanoparticlesmentioning
confidence: 99%
See 1 more Smart Citation
“…3 Further studies were performed by a great number of researchers. [4][5][6][7][8][9][10][11][12] The results reveal that isolated nanoparticles and substrate-supported nanoparticles with relatively free surfaces usually exhibit a significant decrease in melting temperature as compared with the corresponding conventional bulk materials. The physical origin for this phenomenon is that the ratio of the number of surface-to-volume atoms is enormous, and the liquid/vapor interface energy is generally lower than the average solid/vapor interface energy.…”
Section: Thermodynamic Properties Of Silver Nanoparticlesmentioning
confidence: 99%
“…A lot of thermodynamic models of nanoparticles melting assume spherical particles with homogeneous surfaces and yield a linear or almost linear decreasing melting point with increasing the inverse of the cluster diameter. 2,6,[10][11][12] However, the determination of some parameters in these models is difficult or arbitrary. Actually, the melting-phase transition is one of the most fundamental physical processes.…”
Section: Thermodynamic Properties Of Silver Nanoparticlesmentioning
confidence: 99%
“…These yield a linear or almost linear decreasing melting point with increasing the inverse of the cluster diameter [88,[90][91][92]. By dissolving the bulk silver in a sample solution, an equilibrium forms between the crystal and liquid phases of silver clusters, at a certain temperature at which the Gibbs free energies of these two phases become the same.…”
Section: Thermodynamics Of Agnps In Aqueous Mediummentioning
confidence: 99%
“…The melting temperature and the cohesive energy change linearly. Many researchers (Safai et al,2007, Qi & Wang 2004a, Qi 2005, Jiang et al, 2000b, Zhang et al, 2000 successfully modelled and predicted the melting temperature of some nanomaterials. Other researchers, found quite a distinct structure properties between nanoparticles and nanostructured materials (Y. F. .…”
Section: Introductionmentioning
confidence: 99%