Abstract
Magnéli phase Ti5O9 ceramics with 200-nm grain-size were fabricated by hot-pressing nanopowders of titanium and anatase TiO2 at 1223 K. The thermoelectric properties of these ceramics were investigated from room temperature to 1076 K. We show that the experimental variation of the electrical conductivity with temperature follows a non-adiabatic small-polaron model with an activation energy of 64 meV. In this paper, we propose a modified Heikes-Chaikin-Beni model, based on a canonical ensemble of closely spaced titanium t 2g levels, to account for the temperature dependency of the Seebeck coefficient. Modeling of the thermal conductivity data reveals that the phonon contribution remains constant throughout the investigated temperature range. The thermoelectric figure-of-merit ZT of this nanoceramic material reaches 0.3 K at 1076 K.
Similar content being viewed by others
REFERENCES
X.F. Zheng, C.X. Liu, Y.Y. Yan, and Q. Wang, Renew. Sustain. Energy Rev. 32, 486 (2014).
L.-D. Zhao, S.-H. Lo, Y. Zhang, H. Sun, G. Tan, C. Uher, C. Wolverton, V.P. Dravid, and M.G. Kanatzidis, Nature (London) 508, 373 (2014).
J. He, Y.F. Liu, and R. Funahashi, J. Mater. Res. 26, 1762 (2011).
S. Harada, K. Tanaka, and H. Inui, J. Appl. Phys. 108, 083703 (2010).
S. Curtarolo, A Distributed Materials Properties Repository from High-throughput ab initio Calculation (Aflowlib.org, 2016), http://aflowlib.org/material.php?id= 31399. Accessed 27 May 2016.
Q. He, Q. Hao, G. Chen, B. Poudel, X. Wang, D. Wang, and Z. Ren, Appl. Phys. Lett. 91, 052505 (2007).
Y. Lu, M. Hirohashi, and K. Sato, Mater. Trans. 47, 1449 (2006).
Y. Lu, Y. Matsuda, K. Sagara, L. Hao, T. Otomitsu, and H. Yoshida, Adv. Mater. Res. 415–417, 1291 (2011).
Y. Lu, K. Sagara, L. Hao, Z. Ji, and H. Yoshida, Mater. Trans. 53, 1208 (2012).
M. Backhaus-Ricoult, J.R. Rustad, D. Vargheese, I. Dutta, and K. Work, J. Electron. Mater. 41, 1636 (2012).
M. Mikami and K. Ozaki, In J. Phys.: Conf. Ser., 012006 (2012).
D. Portehault, V. Maneeratana, C. Candolfi, N. Oeschler, I. Veremchuk, Y. Grin, C. Sanchez, and M. Antonietti, ACS Nano 5, 9052 (2011).
M. Backhaus-Ricoult, J. Rustad, L. Moore, C. Smith, and J. Brown, Appl. Phys. A 116, 433 (2014).
Y. Lu, Adv. Mater. Res. 415, 1291 (2012).
S. Roessler, R. Zimmermann, D. Scharnweber, C. Werner, and H. Worch, Colloids Surf. B 26, 387 (2002).
A.J. Bosman and H.J. van Daal, Adv. Phys. 19, 1 (1970).
N. Tsuda, Electronic Conduction in Oxides (New York: Springer, 2000).
A. Banerjee, S. Pal, E. Rozenberg, and B.K. Chaudhuri, J. Phys. 13, 9489 (2001).
S.B. Lisesivdin, A. Yildiz, M. Kasap, and D. Mardare, Phys. B 398, 305 (2007).
S. Heluani, D. Comedi, M. Villafuerte, and G. Juarez, Phys. B 398, 305 (2007).
C. Sanchez, M. Henry, J. Grenet, and J. Livage, J. Phys. C: Solid State Phys. 15, 7133 (1982).
L. Yan and H. Chen, J. Chem. Theory Comput. 10, 4995 (2014).
N.F. Mott and E.A. Davis, Electronic Processes in Non-Crystalline Materials (Oxford: OUP, 2012).
J. Schnakenberg, Phys. Status Solidi 28, 623 (1968).
S. Li, R. Funahashi, I. Matsubara, K. Ueno, S. Sodeoka, and H. Yamada, Chem. Mater. 12, 2424 (2000).
J. Lago, P. Battle, M. Rosseinsky, A. Coldea, and J. Singleton, J. Phys. 15, 6817 (2003).
Y. Sun, X. Xu, and Y. Zhang, J. Phys.: Condens. Matter 12, 10475 (2000).
I. Austin and N.F. Mott, Adv. Phys. 18, 41 (1969).
A. Yildiz, S.B. Lisesivdin, M. Kasap, and D. Mardare, Phys. B 404, 1423 (2009).
C.W.a.D. Emin, Physical Review B 1984, vol. 29, pp. 4582-4587.
P. Chaikin and G. Beni, Phys. Rev. B 13, 647 (1976).
E. Stoyanov, F. Langenhorst, and G. Steinle-Neumann, Am. Miner. 92, 577 (2007).
V.M. Khomenko, K. Langer, H. Rager, and A. Fett, Phys. Chem. Miner. 25, 338 (1998).
G.S. Kumar, G. Prasad, and R.O. Pohl, J. Mater. Sci. 28, 4261 (1993).
C. Wood, Rep. Prog. Phys. 51, 459 (1988).
ACKNOWLEDGEMENTS
The authors would like to thank the Office of Naval Research (O.N.R.) for supporting this work (N00014-11-1-0136). The authors also thank Natalio Mingo and Jesus Carrete for various technical discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pandey, S.J., Joshi, G., Wang, S. et al. Modeling the Thermoelectric Properties of Ti5O9 Magnéli Phase Ceramics. J. Electron. Mater. 45, 5526–5532 (2016). https://doi.org/10.1007/s11664-016-4762-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11664-016-4762-4