High Pressure Effects on Thermo Elastic Properties of Germanium with Different Nanoparticle Size

Abstract

In the current work, the pressure equation of state of "Ge-Nano particles with dimensions 13, 49 and100 nm" were studied using two equations of state (EOS) from the literature: the Birch-Murnaghan EOS and the Dodson EOS.The Birch-Murnaghan EOS is based on the concept of finite strain in solid mechanics, while the Dodson EOS is based on interstellar atomic potentials. Namely thermodynamic properties of Ge "bulk modulus B, Debye temperature θ_D, lattice constant a, and phonon frequency spectrum" were determined by processing the tow EOSs. Finally, An equitable analogy was made between the current findings and the generalized gradient approximation approach as well as the first principle approximation, and it was discovered that there was perfect agreement. It was demonstrated that Ge EOS can be used to calibrate high pressure for chemical compound Ge nanoparticles at 49 and 100 nmWhile the equations gave slightly different descriptions of the thermodynamic properties when the dimensions of the germanium particles were 13 nm.