Abstract
The magnitude and activation energy of electrical conductivity in nanocrystalline cerium oxide exhibit a clear grain size dependence. Experimental results compiled from the literature were analyzed using a space charge model, which takes into account the deviation of point defect concentrations from their bulk values in the vicinity of grain boundaries. The consequences on conductivity arising from such space charge layers were calculated using the brick-layer model (BLM) for grain sizes L large compared to the screening length λ. The obtained results were supplemented by the calculated conductivity in the flat-band limit for L ≪ λ. This combination allowed for a quantitative comparison with experimental values, which were obtained in the mesoscopic regime of grain sizes from 10–40 nm. The analysis yielded a value for the space charge potential in cerium oxide of 0.55 V. This space charge potential is caused by a reduced standard chemical potential of oxygen vacancies in the grain boundary core as compared to the bulk phase.
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References
H.L. Tuller and A.S. Nowick, J. Electrochem. Soc., 122, 255 (1975).
B.C.H. Steele, Solid State Ionics, 129, 95 (2000).
H.L. Tuller and A.S. Nowick, J. Electrochem. Soc., 126, 209 (1979).
H.L. Tuller, in Nonstoichiometric Oxides, edited by T.O. Sø rensen (Academic Press, New York, 1981), p. 271.
Y.-M. Chiang, E.B. Lavik, I. Kosacki, H.L. Tuller, and J.Y. Ying, Appl. Phys. Lett., 69, 185 (1996).
Y.-M. Chiang, E.B. Lavik, I. Kosacki, H.L. Tuller, and J.Y. Ying, J. Electroceramics, 1, 7 (1997).
J.H. Hwang and T.O. Mason, Z. Phys. Chem., 207, 21 (1998).
I. Kosacki, T. Suzuki, and H.U. Anderson, in Solid State Ionic Devices, ECS ProceedingsVol. 99-13, edited by E.D.Wachsman, M.-L. Liu, J.R. Akridge, and N. Yamazoe (Electrochemical Society, Pennington, 1999), p. 190.
A. Tschöpe, J.Y. Ying, and H.L. Tuller, Sensors & Actuators, B31, 111 (1992).
A. Tschöpe, E. Sommer, and R. Birringer, Solid State Ionics, 139, 255 (2001).
J. Jamnik, J. Maier, and S. Pejovnik, Solid State Ionics, 75, 51 (1995).
J. Maier and Ber. Bunsenges, Phys. Chem., 90, 26 (1986).
A. Tschöpe, Solid State Ionics, 139, 267 (2001).
E. Sommer, Impedanzspektroskopie an nanokristallinem Ceroxid. Diploma thesis, Universität des Saarlandes, 1997.
H.L. Tuller and A.S. Nowick, J. Phys. Chem. Solids, 38, 859 (1977).
J. Frenkel, Kinetic Theory of Liquids (Oxford University Press, New York, 1946).
K.L. Kliewer and J.S. Koehler, Phys. Rev., 140, 1226 (1965).
A. Tschöpe, to be published.
D.F. Evans and H. Wennerström, The Colloidal Domain (VCH Publisher, New York, 1994).
M. Aoki, Y.-M. Chiang, I. Kosacki, L.J.-R. Lee, H.L. Tuller, and Y. Liu, J. Am. Ceram. Soc., 79, 1169 (1996).
J. Maier, Solid State Ionics, 23, 59 (1987).
J.-H. Hwang, D.S. McLachlan, and T.O. Mason, J. Electroceramics, 3, 7 (1999).
H.C. Yao and Y.F. Yu Yao, J. Catal., 86, 254 (1984).
D.C. Sayle, S.C. Parker, and C.R.A. Catlow, Surf. Sci., 316, 329 (1994).
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Tschöpe, A., Birringer, R. Grain Size Dependence of Electrical Conductivity in Polycrystalline Cerium Oxide. Journal of Electroceramics 7, 169–177 (2001). https://doi.org/10.1023/A:1014483028210
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DOI: https://doi.org/10.1023/A:1014483028210