Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-26T17:52:16.830Z Has data issue: false hasContentIssue false

Mechanisms for nonthermal effects on ionic mobility during microwave processing of crystalline solids

Published online by Cambridge University Press:  31 January 2011

John H. Booske
Affiliation:
Department of Electrical and Computer Engineering, University of Wisconsin–Madison, Madison, Wisconsin 53706
Reid F. Cooper
Affiliation:
Department of Materials Science and Engineering, University of Wisconsin–Madison, Madison, Wisconsin 53706
Ian Dobson
Affiliation:
Department of Electrical and Computer Engineering, University of Wisconsin–Madison, Madison, Wisconsin 53706
Get access

Abstract

Models for nonthermal effects on ionic motion during microwave heating of crystalline solids are considered to explain the anomolous reductions of activation energy for diffusion and the overall faster kinetics noted in microwave sintering experiments and other microwave processing studies. We propose that radiation energy couples into low (microwave) frequency elastic lattice oscillations, generating a nonthermal phonon distribution that enhances ion mobility and thus diffusion rates. Viewed in this manner, it is argued that the effect of the microwaves would not be to reduce the activation energy, but rather to make the use of a Boltzmann thermal model inappropriate for the inference of activation energy from sintering-rate or tracer-diffusion data. A highly simplified linear oscillator lattice model is used to qualitatively explore coupling from microwave photons to lattice oscillations. The linear mechanism possibilities include resonant coupling to weak-bond surface and point defect modes, and nonresonant coupling to zero-frequency displacement modes. Nonlinear mechanisms such as inverse Brillouin scattering are suggested for resonant coupling of electromagnetic and elastic traveling waves in crystalline solids. The models suggest that nonthermal effects should be more pronounced in polycrystalline (rather than single crystal) forms, and at elevated bulk temperatures.

Type
Articles
Copyright
Copyright © Materials Research Society 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Swain, B., “Microwave Sintering of Ceramics,” in Adv. Materials and Proc. Incorporating Metal Progress (September 1988).Google Scholar
2.Janney, M. A., “Microwave Processing of Ceramic Materials,” Materials Science Seminar Series, University of Wisconsin- Madison (1989).Google Scholar
3.Schneider, T., EPRI private communications (1990); also, Wolf, K., Choi, H. K. J., and Wan, J. K. S., AOSTRA J. Res. 3, 5359 (1986).Google Scholar
4.Wert, C. A. and Thomson, R. M., Physics of Solids (McGraw-Hill, New York, 1964).Google Scholar
5.Kreuzer, H. J., Nonequilibrium Thermodynamics and Its Statistical Foundations (Oxford University Press, New York, 1981).Google Scholar
6.J. O. Vigfusson, Physics 85A, 211236, 237–260 (1976).CrossRefGoogle Scholar
7.Bulakov, V. M., Kiselev, S. A., and Rupasov, V. I., Phys. Lett. A 147, 130 (1990).CrossRefGoogle Scholar
8.Angell, C. A., Cheeseman, P. A., and C. C. Phifer, in Computer- Based Microscopic Description of the Structure and Properties of Materials, edited by Broughton, J., Krakow, W., and Pantelides, S. T. (Mater. Res. Soc. Symp. Proc. 63, Pittsburgh, PA, 1985).Google Scholar
9.Goldstein, H., Classical Mechanics, 2nd ed. (Addison-Wesley, Reading, MA, 1980).Google Scholar
10.Beam, W. R., Electronics of Solids, (McGraw-Hill, New York, 1965).Google Scholar
11.Ho, W. W., in Microwave Processing of Materials, edited by Sutton, W. H., Brooks, M. H., and Chabinsky, I. J. (Mater. Res. Soc. Symp. Proc. 124, Pittsburgh, PA, 1988).Google Scholar
12.Booske, J. H., Cooper, R. F., Dobson, I., and McCaughan, L., Ceram. Trans. (Am. Ceram. Soc, Westerville, OH) 21, 185192 (1991).Google Scholar
13.Janney, M. A. and Kimrey, H. D., Adv. Ceram. (1989).Google Scholar
14.Kimrey, H. D., Janney, M. A., and Becher, P. F., in Conf. Digest of 12th Int. Conf. Infrared and Millimeter Waves, IEEE Catalog No. 87CH2490–1 (IEEE, New York, 1987), pp. 136137.Google Scholar