Isothermal molecular dynamics simulations were carried out with the embedded-atom method as a potential to predict the melting and crystallization temperatures of nanometric sized aluminum particles in the range of 2\documentclass[12pt]{minimal}
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\begin{document}$$2$$\end{document}–4nm\documentclass[12pt]{minimal}
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\begin{document}$$4 \mathrm{nm}$$\end{document}. Simulated data predicted a decrease in the melting point Tm\documentclass[12pt]{minimal}
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\begin{document}$${T}_{m}$$\end{document} of aluminum nanoparticles with an increase in their inverse radius r-1\documentclass[12pt]{minimal}
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\begin{document}$${r}^{-1}$$\end{document} according to an almost linear law. The data obtained predicted a higher value of melting temperature compared to crystallization by ΔT=272K\documentclass[12pt]{minimal}
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\begin{document}$$\Delta T=272 \mathrm{K}$$\end{document} for a size of 4nm\documentclass[12pt]{minimal}
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\begin{document}$$4\mathrm{ nm}$$\end{document} and, ΔT=193K\documentclass[12pt]{minimal}
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\begin{document}$$\Delta T=193 K$$\end{document} for 2nm\documentclass[12pt]{minimal}
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\begin{document}$$2\mathrm{ nm}$$\end{document}. The Tm\documentclass[12pt]{minimal}
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\begin{document}$${T}_{m}$$\end{document} of the nanoparticles augmented with increasing size, from 720K\documentclass[12pt]{minimal}
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\begin{document}$$720 K$$\end{document} for 2nm\documentclass[12pt]{minimal}
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\begin{document}$$2 \mathrm{nm}$$\end{document} to 827K\documentclass[12pt]{minimal}
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\begin{document}$$827 \mathrm{K}$$\end{document} for 4nm\documentclass[12pt]{minimal}
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\begin{document}$$4\mathrm{ nm}$$\end{document}. Furthermore, a linear extrapolation of the Tm\documentclass[12pt]{minimal}
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\begin{document}$${T}_{m}$$\end{document} as a function of the inverse of the cubic root of the number of atoms yielded a melting temperature of aluminum of 947±8K\documentclass[12pt]{minimal}
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\begin{document}$$947 \pm 8 \mathrm{K}$$\end{document}, which is similar to previous estimations. Finally, when the number of atoms increased the number of face-centered cubic (FCC) structural units also increased, and the amorphous structure decreased.
