journal article·2001-07

The relevance of site energy distribution for the mixed alkali effect

Reiner Kirchheim, Dirk Paulmann

Journal of Non-Crystalline Solids· Volume 286· Issue 3
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Abstract

Abstract The mixed alkali effect (MAE) can be explained as an interplay between network modifications induced by alkali ions of different size and an energy distribution of sites with a preferential occupancy of the low energy sites by the smaller cations. The underlying physical assumptions of this concept are discussed in the present paper in more detail and they are compared with results of Monte Carlo simulations of diffusion and the Anderson–Stuart model. It will be shown that the new concept is actually hidden in the Anderson–Stuart model. Applying the new concept to experimental data has been done so far with a box-type distribution of site energies. Besides the oversimplification, a major drawback of this distribution is that the diffusion coefficient of the smaller and minority cation is underestimated. It will be shown in the present study that by a different choice of distribution the concentration dependence of the diffusivity of the minority cations can be understood. In addition some results in quaternary glasses will be explained by a more general distribution function.
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Research context

OpenAlex topics: Glass properties and applications · Material Dynamics and Properties · Theoretical and Computational Physics

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References (30)

Show source-provided references
1. D. Paulmann, PhD thesis, University of Göttingen, 1998
2. Knödler · Solid State Ionics · 1992 · 53–56 · 113510.1016/0167-2738(92)90302-6 ↗
3. D. Knödler, PhD thesis, University of Konstanz, 1994
4. Kirchheim · Progr. Mater. Sci. · 1988 · 32 · 26210.1016/0079-6425(88)90010-2 ↗
5. Kirchheim · Def. Diffus. Forum · 1997 · 143 · 91110.4028/www.scientific.net/DDF.143-147.911 ↗
6. Kirchheim · J. Non-Cryst. Solids · 1983 · 55 · 24310.1016/0022-3093(83)90673-7 ↗
7. J.M. Stevels, in: S. Flügge (Ed.), Handbuch der Physik, vol. 20/2, Springer, Berlin, 1957, p. 35010.1007/978-3-642-45859-0_3 ↗
8. Kirchheim · J. Non-Cryst. Solids · 2000 · 272 · 8510.1016/S0022-3093(00)00165-4 ↗
9. R. Kirchheim, in: H. Jain, D. Gupta (Eds.), Diffusion in Amorphous Materials, TMS, Warrendale, PA, 1994, p. 43
10. M.D. Ingram, in: R.W. Cahn, P. Haasen, E.J. Kramer (Eds.), Materials Science and Technology, vol. 9, VCH, Weinheim, p. 715
11. Frischat · 1975
12. K. Hughes, J.O. Isard, in: J. Hladik (Ed.), Physics of Electrolytes, vol. 1, Academic Press, London, 1972, p. 387
13. Jain · J. Non-Cryst. Solids · 1983 · 55 · 28310.1016/0022-3093(83)90676-2 ↗
14. O.V. Mazurin, M.V. Steltsina, T.P. Shaiko-Shaikovskaya, Handbook of Glass Data Part A-E, Elsevier, Amsterdam, New York, part C, p. 85
15. Anderson · J. Am. Ceram. Soc. · 1954 · 37 · 57310.1111/j.1151-2916.1954.tb13991.x ↗
16. J.D. Eshelby, in: F. Seitz, D. Turnbull (Eds.), Solid State Physics, Academic Press, New York, 1956
17. Frenkel · 1949 · 10
18. Ravaine · Phys. Chem. Glasses · 1977 · 18 · 27
19. R. Kirchheim, in: D. Wolf, S. Yip (Eds.), Materials Interfaces, Atomic Level Structure and Properties, Chapman and Hall, London, 1992, p. 481
20. Pekarski · J. Memb. Sci. · 1999 · 152 · 25110.1016/S0376-7388(98)00240-3 ↗
21. Gusev · Phys. Rev. B · 1991 · 27 · 648810.1103/PhysRevA.43.6488 ↗
22. Ref. [11] p. 78
23. Pavlovski · Stekloobr. Sostoy. · 1970 · 5 · 148
24. Jain · J. Am. Ceram. Soc. · 1983 · 66 · 17410.1111/j.1151-2916.1983.tb10011.x ↗
25. Hunt · J. Non-Cryst. Solids · 1993 · 160 · R18310.1016/0022-3093(93)91265-5 ↗
26. Mass · J. Non-Cryst. Solids · 1999 · 255 · 3510.1016/S0022-3093(99)00422-6 ↗
27. Baranowskii · J. Chem. Phys. · 1999 · 111 · 754610.1063/1.480081 ↗
28. Kirchheim · Acta Metall. · 1982 · 30 · 106910.1016/0001-6160(82)90003-7 ↗
29. Maass · Phys. Rev. Lett. · 1992 · 68 · 306410.1103/PhysRevLett.68.3064 ↗
30. Bunde · J. Non-Cryst. Solids · 1994 · 172–174 · 122210.1016/0022-3093(94)90647-5 ↗