Document Type : Original Article

Authors

Department of Physics, Faculty of Science, University of Mazandaran, Babolsar, Iran

Abstract

In this paper, the thermodynamic, structural properties and vibrational spectrum of thorium dioxide have been studied using the Density Functional Perturbation Theory (DFPT) and Density Functional Theory (DFT) in the framework of first principles calculations. Quantum espresso software, which is an open source computing code, has been used in order to compute the kohn-Sham equations to obtain the minimum total energy of crystal. The vibrational spectrum of the thorium dioxide was examined along various symmetrical directions, and the results showed the dynamical stability of the crystal system. The quasi-harmonic Debye-Einstein model as implemented in GIBBS2 Code was used to calculate the thermodynamic properties of thorium dioxide at high temperatures and pressures. The simulation results showed that the Debye temperature of thorium dioxide decreased with increasing temperature at a constant pressure and increased with increasing pressure at a constant temperature. Increasing the Debye temperature indicated an increase in the crystal stiffness and the average sound velocity. It was observed that the volumetric thermal expansion coefficient and gruneisen parameter decreased exponentially with increasing pressure at a constant temperature, while increased with increasing temperature at a constant pressure, indicating an increase in heat transfer in the crystal lattice

Keywords

  1. A Resnick, K Mitchell, J Park, E B Farfán and T Yee, Nuclear Engineering and Technology 5 (2019) 1398.

  2. M Saoudi, D Staicu, J Mouris, A Bergeron, H Hamilton, M Naji, D Freis, and M Cologna, J. Nucl. Mater.  (2018) 381.

  3. J S Herring, P E MacDonald, K D Weaver and C Kullberg, Nucl. Eng. Des. 1 (2001) 65.

  4. H Nakamura and M Machida, J. Nucl. Mater. (2019) 45.

  5. J Park, E B Farfán and C Enriquez, Nuclear Engineering and Technology 5 (2018) 731.

  6. S Parker, J White, P Hosemann and A Nelson, J. Nucl. Mater.  (2019) 151760.

  7. B Dorado, B Amadon, M Freyss and M Bertolus, Phys. Rev. B: Condens. Matter. 23 (2009) 235125.

  8. L Petit, A Svane, Z Szotek, W M Temmerman and G M Stocks, Phys. Rev. B: Condens. Matter. 4 (2010) 045108.

  9. J Fink, J. Nucl. Mater. 1 (2000) 1.

  10. J J Carbajo, G L Yoder, SG Popov and V K Ivanov, J. Nucl. Mater. 3 (2001) 181.

  11. M Lung and O Gremm, Nucl. Eng. Des. 2 (1998) 133.

  12. D Olander, J. Nucl. Mater. 1 (2009) 1.

  13. M Todosow, A Galperin, S Herring, M Kazimi, T Downar, and A Morozov, Nucl. Technol. 2 (2005) 168.

  14. N Richard, S Bernard, Jollet and M Torrent, Phys. Rev. B: Condens. Matter. 23 (2002) 235112.

  15. R Atta-Fynn and A K Ray, Phys. Rev. B: Condens. Matter. 11 (2007) 115101.

  16. I S Lim and GE Scuseria, Chem. Phys. Lett. 460 (2008) 137.

  17. I Shein, K Shein and A Ivanovskii, Tech. Phys. Lett. 2 (2007) 128.

  18. A Otero-de-la-Roza, D Abbasi-Pérez and V Luaña, Comput. Phys. Commun. 10 (2011) 2232.

  19. X Gonze and C Lee, Phys. Rev. B: Condens. Matter. 16 (1997) 10355.

  20. S Baroni, S De Gironcoli, A Dal Corso and P Giannozzi, Rev. Mod. Phys. 2 (2001) 515.

  21. J P Perdew, K Burke and M Ernzerhof, Phys. Rev. Lett. 7 (1997) 1396.

  22. H J Monkhorst and J D Pack, Phys. Rev. B: Condens. Matter. 12 (1976) 5188.

  23. J S Olsen, L Gerward, V Kanchana and G Vaitheeswaran, J. Alloys Compd. 1-2 (2004) 37.


V Kanchana, G Vaitheeswaran, A Svane and A Delin, J. Phys.: Condens. Matter. 42 (2006) 9615

ارتقاء امنیت وب با وف ایرانی