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Updated: Oct 11, 2025

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Published on: June 25, 2018
The Size and Shape Effects on the Melting Point of Nanoparticles Based on the Lennard-Jones Potential Function
Anwar Al Rsheed1, Saad Aldawood1, Omar M Aldossary1
1Department of Physics and Astronomy, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia.
Abstract:
A model is proposed to calculate the melting points of nanoparticles based on the Lennard-Jones (L-J) potential function. The effects of the size, the shape, and the atomic volume and surface packing of the nanoparticles are considered in the model. The model, based on the L-J potential function for spherical nanoparticles, agrees with the experimental values of gold (Au) and lead (Pb) nanoparticles. The model, based on the L-J potential function, is consistent with Qi and Wang's model that predicts the Gibbs-Thompson relation. Moreover, the model based on the non-integer L-J potential function can be used to predict the melting points Tm of nanoparticles.
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