Lattice structure effect on some thermodynamical properties of Si Nanoparticles

Abstract

An approach is made to calculate and analysis some thermodynamical properties including the combination of Lindemann’s role for melting, dimensionless mass and structure factor in the role of lattice structure as the mean bond length to examine their dependency in group IV elements and SiC tetrahedral semiconductors. The results were a direct relation for Lindemann’s ration(f) and dimensionless mass M with these materials mean bond length (dmean) in the form of f=0.214dmean-1 and M=435dmean2 respectively. From the modification of these relations, the nanosize dependence for both Lindemann’s ratio and dimensionless mass with that of materials structure factor were calculate. The results are the decrease of Lindemann’s ratio and increase in the dimensionless mass with the size decrease of Si nanoparticles.

Keywords

• nanoparticles
• lindeman’s ratio for melting
• dimensionless mass
• tetrahedral semiconductors
• si