Abstract
The modification of lattice vibration based model used to predicate the dependence of melting temperature on the size and mean square displacement of the free standing gold spherical nanoparticle. The models predicate that the melting temperature decreases with the reduce of nanoparticles size due to the change of its lattice volume, calculated values of melting agree fairly well with the available experimental data
Highlights
One of the main interests of the current research is the understanding and the engineering of the condensed matter at low dimensions
This model of the melting point of nanoparticles is based on the Lindemann criterion which states that a crystal will melt when the root – mean square displacement of the atoms in the crystal ( ) exceeds a certain fraction of the inter-atomic distance d
Mean square displacement of the atoms in the crystal ( ) exceeds a certain fraction of the inter-atomic distance dmean [5], the following equation can be obtained, which relates to the bulk melting point T, that is, [6,11]:
Summary
One of the main interests of the current research is the understanding and the engineering of the condensed matter at low dimensions. Low dimensional materials lie between bulk matter, molecular and atomic sizes. The metallic nanoparticle melts below their corresponding bulk melting temperature. This happens because surface atoms prefer to reach earlier the liquid state, where can minimize their energy. The decrease in Modeling the Lattice Volume Effect on the Melting Temperature of Gold. Melting temperature is approximately dependent on the inverse of the nanoparticles radius and theses due to the surface effect and the energetic changes of atoms within crystals [3]. An attempt will be made to modulate a method for calculating nanoparticles lattice volume and evaluate its effects on the melting applicable on gold nanoparticles
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