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Relaxation Processes and the Mixed Alkali Effect in Alkali Metasilicate Glasses

Published online by Cambridge University Press:  10 February 2011

J. Habasaki
Affiliation:
Tokyo Institute of Technology at Nagatsuta, Yokohama, Kanagawa 226, Japan, [email protected]
I. Okada
Affiliation:
Tokyo Institute of Technology at Nagatsuta, Yokohama, Kanagawa 226, Japan, [email protected]
Y. Hiwatari
Affiliation:
Kanazawa University, Kanazawa 920–11, Japan, [email protected]
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Abstract

A molecular dynamics simulation (MD) of lithium metasilicate (Li2SiO3) and related mixed alkali system (LiKSiO3) has been performed. Changes in the mean squared displacement and the corresponding clear two-step (β and α1) relaxations in a density correlation function have been observed at 700 K (self-part) for each ion in Li2SiO3 following an exponential decay by vibrational motion in a simulation up to 300 ps (run I). The mean squared displacement of the atoms shows the change in the slope at ca. 300 ps when the simulation is extended up to 1 ns (run II). Here we call the slowest relaxation (ca. 300 ps∼) the α2 region.

Oscillation, which is clearer for O and Si than for Li, is found in the second (β-relaxation) region of the function, which is attributed to the so called “boson peak”. Both the β-relaxation and the boson peak are found to be due to the correlated motion.

The slower relaxation (α1-relaxation) can be fitted to a stretched exponential form and the origin of this type of decay is confirmed to be waiting time distribution of jump motions. The back-correlated jumps also decrease the decay rate.

Components A and B in α1 and α2 regions for Li ion are analyzed, where the Li ion of component A is located within the first neighboring sites and that of component B moves longer than the nearest neighbor distances by cooperative jump motion. The component B shows accelerated dynamics larger than t-linear ones (∼ t1.77) in the region 50–300 ps, and the dynamics can be characterized as Lévy flight.

We have found that the contribution of the cooperative jumps decreases in the mixed alkali glass. This explains the maximum of the Haven ratio accompanied with the mixed alkali effect.

Type
Research Article
Copyright
Copyright © Materials Research Society 1997

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References

REFERENCES

[1] Angell, C. A., J. Phys. Chem. Solids, 49, 863 (1988).Google Scholar
[2] Habasaki, J., Okada, I. and Hiwatari, Y., Phys. Rev. E, 52, 2681 (1995).Google Scholar
[3] Habasaki, J. and Okada, I., Molec. Simul., 9, 319 (1992).Google Scholar
[4] Habasaki, J. and Okada, I., Molec. Simul., 8, 179 (1992).Google Scholar
[5] Habasaki, J., Okada, I. and Hiwatari, Y., Molec. Simul., 9, 49 (1992).Google Scholar
[6] Habasaki, J., Molec. Phys., 70, 513 (1990).Google Scholar
[7] Habasaki, J., Okada, I. and Hiwatari, Y., Taniguchi International Symposium XIII, Springer Series in Solid State Science 103, ‘Molecular Dynamics Simulations’, edited by Yonezawa, F., p. 98 (1992).Google Scholar
[8] Ida, Y., Phys. Earth Planet Interiors, 13, 97 (1976).Google Scholar
[9] Tatsumisago, M., Minami, T. and Tanaka, M., Yogyo-Kyokai-Shi, 93, 581 (1985).Google Scholar
[10] Sokolov, A. P., Rössler, E., Kisliuk, A. and Quitmann, D., Phys. Rev. Lett., 71, 2062 (1993).Google Scholar
[11] Williams, G. and Watts, D. C., Trans. Faraday Soc. 66, 80 (1970).Google Scholar
[12] Miyagawa, H., Hiwatari, Y., Bernu, B. and Hansen, J. P., J. Chem. Phys., 88, 3879 (1988).Google Scholar
[13] Hiwatari, Y., Miyagawa, H. and Odagaki, T., Solid State Ionics 47, 179 (1991).Google Scholar
[14] Habasaki, J., Okada, I. and Hiwatari, Y., J. Non-Cryst. Solids, in press.Google Scholar
[15] Halvin, S. and Ben-Avraham, D., Advances in Phys., 36, 695 (1987).Google Scholar
[16] Greaves, G. N., J. Non-Cryst. Solids, 71, 203 (1985).Google Scholar
[17] Habasaki, J., Okada, I. and Hiwatari, Y., submitted to Phys. Rev. B.Google Scholar
[18] Alexander, S. and Orbach, R., J. Phys. (Paris) Lett. 43, L625 (1982).Google Scholar
[19] Shlesinger, M. F., Zaslavsky, G. M. and Klafter, J., Nature, 363, (1993);Google Scholar
Klafter, J., Shledinger, M. F., Zumofen, G., Physics Today, February 1996, 33.Google Scholar
[20] Day, D. E., J. Non-Crystal. Solids, 21, 343 (1976).Google Scholar
[21] Ingram, M. D., Phys. Chem. Glasses 28, (1987) 215.Google Scholar
[22] Habasaki, J., Okada, I. and Hiwatari, Y., J. Non-Cryst. Solids, 183, 12 (1995).Google Scholar
[23] Balasubramanian, S. and Rao, K. J., J. Phys. Chem., 97, 8835 (1993); J. Non-Cryst. Solids, 181, 157 (1995).Google Scholar
[24] Maass, P., Bunde, A. and Ingram, M. D., Phys. Rev. Lett., 68, 3064 (1992);Google Scholar
Bunde, A., Ingram, M. D. and Maass, P., J. Non-cryst. Solids, 172–174, 1222 (1994).Google Scholar
[25] Compaan, K. and Haven, Y., Trans. Faraday Soc., 52, 786 (1956); 54, 1498 (1958).Google Scholar
[26] Terai, R., J. Non-Cryst. Solids, 6, 121 (1971).Google Scholar
[27] Jain, H., Peterson, N. L. and Downing, H. L., J. Non-Cryst. Solids, 55, 283 (1983).Google Scholar
[28] Tuller, H. L., Button, D. P. and Uhlmann, D. R., J. Non-Crystl. Solids, 40, 93 (1980).Google Scholar