Abstract

The calculations for variations of bulk modulus (B), compression volume (Vp Vo ); lattice constant and phonon frequency spectrum (pfs) under high pressure up to 17 GPa at room temperature has been carried out. Three equations of state (EOSs) including (Birch- Murnaghan, Vinet and modified Lennard-Jouns) are used in the calculations. The variations of these properties under such high pressure for GaAs are obtained and we got suitable EOS for it.

Highlights

  • The evaluation of pressure-volume (P-V) phonon frequency spectrum and lattice constant are very importance in basic and applied science (Recio et al [12]), equations of state (EOSs) are fundamentally important in study the properties of solid state at high pressure, where the study of (P-V) EOSs of relevant material is one of the most basics are needed for pressure calibration

  • The Vinet, Birch–Murnaghan (BM) and modified Lennard–Jouns EOSs are intended to accounting volumetric properties for solid which has structural configurations that vary with pressure and temperature (Anderson [1]), BM EOS was derived from the assumption that the strain energy of a solid undergoing compression can be expressed as a Taylor series in the finite strain. (Birch [3])

  • Radi et al [11] determined the variation of lattice constant with the pressure according to Murnaghan EOS (Murnaghan [10])

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Summary

Introduction

The evaluation of pressure-volume (P-V) phonon frequency spectrum and lattice constant are very importance in basic and applied science (Recio et al [12]), EOSs are fundamentally important in study the properties of solid state at high pressure, where the study of (P-V) EOSs of relevant material is one of the most basics are needed for pressure calibration. The Vinet, Birch–Murnaghan (BM) and modified Lennard–Jouns (mL-J) EOSs are intended to accounting volumetric properties for solid which has structural configurations that vary with pressure and temperature (Anderson [1]), BM EOS was derived from the assumption that the strain energy of a solid undergoing compression can be expressed as a Taylor series in the finite strain. The effect of pressure on bulk modulus (B), compression volume Vp , Vo lattice constant and phonon frequency spectrum (PFS) for GaAs has been achieve using different. Raed Hashim AL-Saqa, Siham Jasem AL-Taie Theoretical Study of Mechanical, Elastic and Phonon

Theoretical Details
Lattice constant
Calculations and Results
Discussion and Conclusion

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