Abstract
A theoretical calculation of the structural, thermal and transport properties of anatase titanium dioxide (TiO2) was investigated with the help of density functional theory and Boltzmann theory. The fully optimized structure was obtained by minimizing the total energy. The variations of the volume (V), bulk modulus (B), Debye temperature (Θ), heat capacities at constant volume (C v ) and constant pressure (C p ), entropy (S), Grüneisen parameter (γ) and thermal expansion coefficient (α) as a function of the pressure (P) and temperature (T) were all obtained and analyzed in detail. Boltzmann theory calculations have been used to evaluate important transport properties such as Seebeck coefficient (S), electrical conductivity (σ), electronic thermal conductivity (K el ) and power factor (S 2 σ) with respect to scattering time (τ) as a function of chemical potential (μ).
Similar content being viewed by others
References
Y.Y. Yu, W.C. Chien, Y.H. Ko, and S.H. Chen, Thin Solid Films 520, 1503 (2011).
S. Ding, B. Gao, D. Shan, Y. Sun, and S. Cosnier, Biosens. Bioelectron. 39, 342 (2013).
J. BenNaceur, R. Mechiakh, F. Bousbih, and R. Chtourou, Appl. Surf. Sci. 257, 10699 (2011).
P. Hohenberg and W. Kohn, Phys. Rev. B 136, 864 (1964).
W. Kohn and L.S. Sham, Phys. Rev. A 140, 1133 (1965).
P. Blaha, K. Schwarz, G.K.H. Madsen, D. Kavanicka, and J. Luitz, WIEN2K, an Augmented Plane Wave Plus Local Orbitals Program for Calculating Crystal Properties (Wien: Techn. Universitat Wien, 2001).
M.A. Blanco, E. Francisco, and V. Luana, Comput. Phys. Commun. 158, 57 (2004).
G.K.H. Madsen and D.J. Singh, Comput. Phys. Commun. 175, 67 (2006).
F.D. Murnaghan, Proc. Natl. Acad. Sci. USA 30, 244 (1944).
T. Mahmood, C. Cao, R. Ahmed, M. Ahmed, M.A. Saeed, A.A. Zafar, T. Husain, and M.A. Kamran, Sains Malays 42, 231 (2013).
Q. Chen and H.H. Cao, J. Mol. Struct. (Theochem.) 723, 135 (2005).
W. Zeng, T. Liu, and Z. Wang, Sens. Actuators B 166, 141 (2012).
M.A. Blanco, A. Martín Pendás, E. Francisco, J.M. Recio, and R. Franco, J. Mol. Struct. (Theochem.) 368, 245 (1996).
E. Francisco, M.A. Blanco, and G. Sanjurjo, Phys. Rev. B 63, 094107 (2001).
S. Amari, R. Mebsout, S. Méçabih, B. Abbar, and B. Bouhafs, Intermetallics 44, 26 (2014).
F.Z. Benkhelifa, A. Lekhal, S. Méçabih, B. Abbar, and B. Bouhafs, J. Magn. Magn. Mater. 371, 130 (2014).
K. Hacini, Z. Chouahda, A. Djedid, H. Meradji, S. Ghemid, F. El Haj, Hassan, and R. Khenata. Mater. Sci. Semicond. Process. 26, 642 (2014).
S. Sharma, A.S. Verma, R. Bhandari, and V.K. Jindal, Comput. Mater. Sci. 86, 108 (2014).
A.A. Levchenko, A.I. Kolesnikov, N.L. Ross, J. Boerio-Goates, B.F. Woodfield, G. Li, and A. Navrotsky, J. Phys. Chem. A 111, 12584 (2007).
S.J. Smith, R. Stevens, S. Liu, G. Li, A. Navrotsky, J.B. Goates, and B.F. Woodfield, Am. Mineral. 94, 236 (2009).
Alan Matthews, Am. Mineral. 61, 419424 (1976).
L.J. Zhang and D.J. Singh, Phys. Rev. B 81, 245119 (2010).
K. Ahn, E. Cho, J.-S. Rhyee, S.I. Kim, S. Hwang, H.-S. Kim, S.M. Lee, and K.H. Lee, J. Mater. Chem. 22, 5730 (2012).
S. Azam, S.A. Khan, F.A. Shah, S. Muhammad, H.U. Din, and R. Khenata, Intermetallics 55, 184 (2014).
R. Brahimi, Y. Bessekhouad, and M. Trari, Phys. B 407, 3897 (2012).
T.J. Ha, H.H. Park, S.Y. Jung, S.J. Yoon, J.S. Kim, and H.W. Jang, Thin Solid Films 518, 7196 (2010).
D. Bayerl and E. Kioupakis, Phys. Rev. B 91, 165104 (2015).
M.B. Ricoult, J.R. Rustad, D. Vargheese, I. Dutta, and K. Work, J. Electron. Mater. 41, 6 (2012).
H.A.R. Aliabad, M. Ghazanfari, I. Ahmad, and M.A. Saeed, Comput. Mater. Sci. 65, 509 (2012).
H.Y. Lv, H.J. Liu, L. Pan, Y.W. Wen, X.J. Tan, J. Shi, and X.F. Tang, Appl. Phys. Lett. 96, 142101 (2010).
Acknowledgement
The authors are grateful to Professors S. Alleg and S. Ghemidh, from Faculty of Sciences, University of Annaba, Algeria, for valuable discussion and comments.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Naffouti, W., Ben Nasr, T., Meradji, H. et al. First-Principles Investigation of Structural, Thermal and Transport Properties of Anatase TiO2 . J. Electron. Mater. 45, 5096–5103 (2016). https://doi.org/10.1007/s11664-016-4713-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11664-016-4713-0