High Pressure Effects on the Structural Properties of GaN Compound Using Equations of State
Year 2022,
Volume: 25 Issue: 1, 79 - 84, 01.03.2022
Siham J. Al-faris
Raed H. Al-saqa
Huda M. Mohhamed
Sırwan Kareem
Abstract
The present study is a theoretical calculation for the effects of high pressure on thermodynamic properties on GaN up to 40Gpa at room temperature. Volume compression ratio (V0/Vp), lattice constant (a) and elastic bulk modulus(B) have been established. Furthermore, lattice frequencies and disruptions function by analyzing phonon frequency spectrum (PFS) at (0 K). The entire calculations rely on using of two equation of state (EOS) "Birch-Murnaghan and modified Lennard-Jones" equation of state and with the integration of Grüneisen approximation theory. From the considered equations of state, formulation of bulk modulus was derived, that predicts a rising trend of bulk modulus. The large bulk modulus value of GaN has made a small fraction of change in volume (less than 15%) of the material even under an extreme pressure up to 45Gpa. It was also found that the results of phonon frequency spectrum obtained from Birch-Murnaghan equation of state in a better agreement with the experimental data than that of modified Lennard-Jones equation of state. Given that the Birch-Murnaghan equation of state developed according to Eulerian strain theory accounted as a universal equation of state. Moreover, good agreement between theoretically present calculations and experiment data of phonon frequency spectrum, reveals the validity of the equations of state used in the present study.
Thanks
As author I would like to thank the editorial board of the international journal of thermodynamics for their support to submit the article to review, we hope that the manuscript brings much achievement to benefit the journal and fulfils the criteria of the journal to guarantee its publication.
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Year 2022,
Volume: 25 Issue: 1, 79 - 84, 01.03.2022
Siham J. Al-faris
Raed H. Al-saqa
Huda M. Mohhamed
Sırwan Kareem
References
- K.M. Benali, “First-Principles study of structural, elastic and electronic properties of AlN and GaN semiconductors under pressure effect and magnetism in AlN:Mn and GaN:Mn systems,” PhD. Thesis. Abou-bakrbelkaiduniversity – Tlemcen faculty of sciences- Physics department, 2004.
- M. Ferhat, A.Zaoui, M.Certier and B. Khelifa, “ Empirical tight- binding band structure of zinc-blende nitrides GaN, AlN, and BN,” Phys. Stat. sol. (b) 195, 415,1996.
- S. Berrah, H. Abid, A. Boukortt and M. Sehil, “Band gap of cubic AlN, GaNandInN compounds under pressure,” Turk J Phys. 30, 513-518, 2006.
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- S. K. J, S. mawood, “Size dependent thermodynamic properties of nanoparticles, ” International Journal of Thermodynamics, Vol. 23 (No. 4), 245-250,2020.
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- F. Birch, “Finite elastic strain of cubic crystals,” phys. Rev. 71 ; 809 – 824,1947
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- F. D. Murnaghan, “Finite deformations of an elastic solid,” Am. J. Math.,49. 235- 260,1937.
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- N.E.Christensen and I. Gorczyca,“Optical and structural properties of III-V nitrides under pressure,” Physical Review B. 0163-1829/94/50(7)/4397(19), 1994.
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- R. Boehler; J.Ramakrishnan, “Experime ntal results on the pressure dependence of the Grüneisen parameter,” A review. J. Geophy. Res., 85 (B12), 6996-7002,1980.