Thermodynamic Models for the Size-dependent Melting of Nanoparticles: Different Hypotheses
Gopal Krishna Goswami,
Karuna Kar Nanda.
A careful comparison of the experimental results reported in the literature reveals different variations of the melting temperature
even for the same materials. Though there are different theoretical models, thermodynamic model has been extensively used to understand
different variations of size-dependent melting of nanoparticles. There are different hypotheses such as homogeneous melting
(HMH), liquid nucleation and growth (LNG) and liquid skin melting (LSM) to resolve different variations of melting temperature as reported
in the literature. HMH and LNG account for the linear variation where as LSM is applied to understand the nonlinear behaviour in
the plot of melting temperature against reciprocal of particle size. However, a bird’s eye view reveals that either HMH or LSM has been
extensively used by experimentalists. It has also been observed that not a single hypothesis can explain the size-dependent melting in the
complete range. Therefore we describe an approach which can predict the plausible hypothesis for a given data set of the size-dependent
melting temperature. A variety of data have been analyzed to ascertain the hypothesis and to test the approach.
Keywords: Phase transitions in clusters, 36.40.Ei, Binding energies and masses, 21.10.Dr, Thermodynamic properties of surfaces and interfaces,
05.70. Np, Melting, 64.70.dj, Surface tension, 68.03.Cd, Nanoparticles thermal properties of, 65.80.-g, 82.60.Qr, Phase transition soldliquid,
64.70.D-, Surface energy of solid surfaces, 68.35.Md
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