Abstract
The surface potential (φS) in ionic crystals: binary compounds of the type NaCl and superionic oxygen conductors of the type M IV1 − c Me IIIc O2 − c/2 are calculated with the aid of the Stern model. Effect of the energy of formation of defects, concentration of accessible sites (N S), and concentration of admixtures on the temperature dependences of φS(T) is studied. Instances of high and low potentials are analyzed. It is demonstrated that the surface potential increases proportionally to the difference between the adsorption energies of individual defects, provided the absolute value of |ΔG i| (ΔG i < 0) and concentration N S are sufficiently large. Values of isoelectric temperatures in NaCl crystals doped with admixtures of other valence are calculated. An attempt is undertaken to describe experimental data for silver halides with the aid of the model. Calculations of the surface potential in superionic oxygen conductors show that increasing concentration of surface vacancies is accompanied by segregation of the admixture cations in the surface layer.
Similar content being viewed by others
References
Frenkel’, Ya.I., Kineticheskaya teoriya zhidkostei (A Kinetic Theory of Fluids), Moscow: Akad. Nauk SSSR, 1945.
Grimley, T.V., Proc. R. Soc., 1950, vol. A201, p. 40; Lehovec, K., J. Chem. Phys., 1953, vol. 21, p. 1123.
Kliever, K.L. and Koehler, J.S., Phys. Rev., A, 1965, vol. 140, p. 1226; Kliever, K.L., J. Phys. Chem. Solids, 1965, vol. 27, p. 705.
Urusovskaya, A.A., Usp. Fiziol. Nauk, 1968, vol. 96, p. 39.
Whitworth, R.W., Adv. Phys., 1975, vol. 24, p. 203.
Tallon, J.L., Buckley, R.C., Staines, M.P., and Robinson, W.H., Philos. Mag. B, 1985, vol. 6, p. 635.
Poeppel, R.B. and Blakely, J.M., Surf. Sci., 1969, vol. 15, p. 507.
Blakely, J.M. and Danyluk, S., Surf. Sci., 1973, vol. 40, p. 37.
Macdonald, J.R., Franceschetti, D.R., and Lehnen, A.R., J. Chem. Phys., 1980, vol. 73, p. 5272.
Maier, J., J. Electrochem. Soc., 1987, vol. 134, p. 1524.
Maier, J., Prog. Solid State Chem., 1995, vol. 23, p. 171.
Lifshits, L.M. and Geguzin, Ya.E., Fiz. Tverd. Tela, 1965, vol. 7, p. 62.
Chebotin, V.N. and Solov’eva, L.M., Elektrokhimiya, 1975, vol. 11, p. 1189.
Chebotin, V.N., Solov’eva, L.M., and Remez, I.D., Elektrokhimiya, 1975, vol. 11, p. 1198.
Ukshe, E.A. and Bukun, N.G., Tverdye elektrolity (The Solid Electrolytes), Moscow: Nauka, 1977.
Stern, O., Z. Electrochem., 1924, vol. 30, p. 508.
Jamnik, J., Maier, J., and Pejovnik, S., Solid Sate Ionics, 1995, vol. 75, p. 51.
Khanft, A.V., Zhogin, I.L., and Kriger, V.G., Poverkhnost, 1990, vol. 6, p. 65.
Khaneft, A.V., Zh. Fiz. Khim., 1992, vol. 66, p. 3037.
Khaneft, A.V. and Kriger, V.G., Zh. Fiz. Khim., 1993, vol. 64, p. 2424.
Wonnell, S.K. and Slifkin, L.M., Solid State Ionics, 1995, vol. 75, p. 101.
Kroeger, F.A., The Chemistry of Imperfect Crystals, Amsterdam: North-Holland, 1964.
Kleitz, M., Dessemond, L., and Steil, M.C., Solid State Ionics, 1995, vol. 75, p. 107.
Badwal, S.P.S., Solid State Ionics, 1995, vol. 76, p. 67.
Burgraaf, A.J. and Winnubst, A.J.A., in Surface and Near-Surface Chemistry of Oxide Materials, Novotny, J. and Dufour, L.-C., Eds., Amsterdam: Elsevier, 1988, p. 449.
Guo, X. and Maier, J., J. Electrochem. Soc., 2001, vol. 148, p. E121.
Bonch-Bruevich, V.L. and Kalashnikov, S.G., Fizika poluprovodnikov (The Semiconductor Physics), Moscow: Nauka, 1990.
Heine, L., in Mass Transrort in Solids, Veniere, F. and Catlow, C.R.A., Eds., New York: Plenum, 1983, p. 425.
Nowick, A.S., in Diffusion in Crystalline Solids, March, G.M. and Nowick, A.S., Eds., Orlando: Academic, 1984, ch. 3.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © N.F. Uvarov, 2007, published in Elektrokhimiya, 2007, Vol. 43, No. 4, pp. 388–397.
Rights and permissions
About this article
Cite this article
Uvarov, N.F. Surface disordering of classic and superionic crystals: A description in the framework of the stern model. Russ J Electrochem 43, 368–376 (2007). https://doi.org/10.1134/S1023193507040027
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1023193507040027