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Theory of Solid-State Defects

Published online by Cambridge University Press:  29 November 2013

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Serious studies of materials are often serious studies of defects, for control of properties of materials implies control of defects or impurities. Understanding defect phenomena is crucial, and both theoretical ideas and modeling are enhancing key areas of materials properties and processing. I shall review some of the ways theory contributes. Theory enters into all aspects of materials science, even if you don't always realize you are using it.

Even self-styled practical people, for whom theory is a luxury, use theory routinely in its first main role, as a framework for the data they lovingly collect. Elasticity theory, electromagnetic theory, and thermodynamics are normal tools for working engineers. The simplest ideas about electronic and atomic structures of solids are now so standard that one can forget their original impact, just as one forgets those within living memory who objected even to the idea of atoms. It was theory which gave clear guidelines for solids to be metals or insulators, when the real-space ideas of crystal structures based on interacting atoms were complemented by the reciprocal space notions from band theory. Such rules had been far from obvious. The behavior of amorphous solids has forced analogous theory-led upheavals in understanding.

Type
Point Defects Part II
Copyright
Copyright © Materials Research Society 1991

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References

1.Seitz, F., in Modern Theory of Solids (McGraw Hill, New York, 1940).Google Scholar
2.Mott, N.F. and Davis, E.A., in Non-Crystalline Solids (Oxford, 1979).Google Scholar
3.Ashby, M.F., Acta Metall. 20 (1972) p. 887.CrossRefGoogle Scholar
4.Deal, B.E. and Grove, A.S., J. Appl. Phys. 36 (1965) p. 3770.CrossRefGoogle Scholar
5.Born, M. and Huang, K., in Dynamical Theory of Crystal Lattices (Oxford, 1954).Google Scholar
6. See special Mott-Littleton issue, J. Chem. Soc. Faraday II 85 (5) (1989).Google Scholar
7.Norgett, M.J. and Lidiard, A.B., in Computational Solid State Physics, edited by Herman, , Dalton, , and Koehler, (Plenum Press, New York, 1972) p. 385; see also J.H. Harding, in Ionic Solids at High Temperatures, edited by A.M. Stoneham (World Scientific, Singapore, 1989) p. 107.Google Scholar
8.Hayes, W. and Stoneham, A.M., in Defects and Defect Processes in Non-Metallic Solids (Wiley, New York, 1985).Google Scholar
9.Evans, J.H., Nature 229 (1971) p. 403.CrossRefGoogle Scholar
10.Stoneham, A.M., in Theory of Defects in Solids (Oxford, 1985).Google Scholar
11.van Vechten, J.H., J. Electrochem. Soc. 122 (1975) p. 423.CrossRefGoogle Scholar
12.Bridges, F.et al., J. Phys. Cond. Mat. 2 (1990) p. 2867.CrossRefGoogle Scholar
13.Mott, N.F. and Gurney, R.W., in Electronic Processes in Ionic Crystals (Oxford, 1948).Google Scholar
14.Dabrowski, J. and Scheffler, M., Phys. Rev. Lett. 60 (1988) p. 2183; D.J. Chadi and K.J. Chang, Phys. Rev. Lett. 60 (1988) p. 2187.CrossRefGoogle Scholar
15.Dick, B.G. and Overhauser, A.W., Phys. Rev. 112 (1958) p. 90.CrossRefGoogle Scholar
16.Kohn, W., Solid State Phys. 5 (1957) p. 257.CrossRefGoogle Scholar
17.Hopfield, J.J., Paris Semiconductor Conference (1965) p. 725.Google Scholar
18.Bartram, R.H., Stoneham, A.M., and Gash, P., Phys. Rev. 176 (1968) p. 1014.CrossRefGoogle Scholar
19.Coulson, C.A. and Kearsley, M.J., Proc. R. Soc. London A241 (1957) p. 433.Google Scholar
20.Baraff, G.A., Proc. Yokohama IC-STCDS conference (1989) in press.Google Scholar
21.Car, R. and Parrinello, M., Phys. Rev. Lett. 55 (1985) p. 2471.CrossRefGoogle Scholar
22.Landau, L., Phys. Z Sowjet Union 3 (1932) p. 664.Google Scholar
23.Boyle, R., in Experiments and Considerations about the Porosity of Bodies (St. Paul's Churchyard, London, 1684).Google Scholar
24.Stoneham, A.M., Physica Scripta T25 (1989) p. 17.CrossRefGoogle Scholar
25.Sangster, M.J.L. and Stoneham, A.M., Phys. Rev. B26 (1982) p. 1026.Google Scholar
26.Henry, C.H. and Lang, D.V., Phys. Rev. B15 (1977) p. 989.CrossRefGoogle Scholar
27.Huang, K. and Rhys, A., Proc. R. Soc. London A204 (1950) p. 406.Google Scholar
28.Dexter, D., Klick, C.C., and Russell, G.A., Phys. Rev. 100 (1956) p. 603.CrossRefGoogle Scholar
29.Bartram, R.H. and Stoneham, A.M., Solid State Commun. 17 (1975) p. 1593.CrossRefGoogle Scholar
30.Pandey, K., Phys. Rev. Lett. 47 (1981) p. 1913; Phys. Rev. Lett. 49 (1982) p. 233; F. Ancilotto, W. Andreoni, A. Selloni, R. Car, and M. Parrinello, Phys. Rev. Lett. 65 (1990) p. 3148.CrossRefGoogle Scholar
31.Tasker, P.W. and Duffy, D.M., Philos. Mag. A47 (1983) p. 817.Google Scholar
32.Harker, A.H. and Matthews, J.R., AERE Harwell Report TP (1989) p. 1344.Google Scholar
33.Tasker, P.W., Colbourn, E.A., and Mackrodt, W.C., J. Am. Ceram. Soc. 68 (1985) p. 74.CrossRefGoogle Scholar
34.Stoneham, A.M. and Tasker, P.W., J. Phys. C18 (1985) p. L543.Google Scholar
35.Knotek, M.L. and Fiebelman, P.J., Phys. Rev. Lett. 40 (1978) p. 964.CrossRefGoogle Scholar
36.Menzel, D. and Gomer, R., J. Chem. Phys. 41 (1964) p. 3311; P. Redhead, Can. J. Phys. 42 (1964) p. 886.CrossRefGoogle Scholar
37.Choy, T.C.. Harding, J.H., Harker, A.H., Mulheran, P.A., Smith, L.W., and Stoneham, A.M., in 1990 AEA Computer-Aided Innovation of New Materials, edited by Doyama, M. (Proc. 1990 Tokyo CAMSE conference, Elsevier, 1991) p. 869872.CrossRefGoogle Scholar
38.Ruskin, J., Ethics of the Dust (George Allen, London, 1865).Google Scholar