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Vacancies and Self-Interstitials

Published online by Cambridge University Press:  29 November 2013

H.B. Huntington
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Extract

This article aims to review in rather cursory fashion the ways the concepts of lattice defects have contributed at an early stage to our understanding of solid-state kinetics in metals and insulators.

The importance of point defects in solid-state kinetics was just beginning to be widely recognized in the late 1930s. The crucial experiments of Kirkendall and others were still to come. Many of the leaders in the field of metallurgy believed almost tacitly that diffusion in substitutional alloys occurred by direct interchange or perhaps a ring mechanism.

For the ionic salts, however, basic calculations were further advanced, and it was possible to figure quite confidently the role of Schottky and Frenkel defects in facilitating atom movements. In their seminal paper, Mott and Littleton made specific calculations as to the energies involved in diffusion by the various mechanisms and hence to the relative importance of these mechanisms in the kinetics of these materials. They began by taking over the Born-Mayer short-range formula for ionic repulsion. Next they treated in detail the polarization response of the salt to an extra charge in the lattice, whether interstitial or vacancy. This polarization included the individual polarizabilities of the ions and, for the static case, the ion displacements. Application of this analysis gave good quantitative results for the activation energies to be expected for diffusion and ionic conductivity. For the alkali halides it was made clear that the Schottky defect would dominate and that Frenkel defects would be few.

Type
Point Defects Part I
Information
MRS Bulletin , Volume 16 , Issue 11 , November 1991 , pp. 33 - 36
Copyright
Copyright © Materials Research Society 1991

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References

1.Smigelskas, A.D. and Kirkendal, E.O., Trans. AIME 171 (1947) p. 130.Google Scholar
2.Mott, N.F. and Littleton, M.J., Trans. Faraday Society 34 (1938) p. 485.CrossRefGoogle Scholar
3.Huntington, H.B. and Seitz, Frederick, Phys. Rev. 61 (1942) p. 315.CrossRefGoogle Scholar
4.Fuchs, F., Proc. R. Soc. London 151 (1935) p. 585; 153 (1936) p. 622; 157 (1936) p. 444.Google Scholar
5.Born, M. and Mayer, J.E., Z. Phys. 75 (1932) p. 1.CrossRefGoogle Scholar
6.Steigman, J., Shockley, W., and Nix, F., Phys. Rev. 56 (1939) p. 13.CrossRefGoogle Scholar
7.Huntington, H.B., Phys. Rev. 61 (1942) p. 326.Google Scholar
8.Fumi, F.G., Philos. Mag. 7th series 46 (1955) p. 1007.CrossRefGoogle Scholar
9.Zener, C., Acta Crystallogr. 8 (1950) p. 346.CrossRefGoogle Scholar
10.Kirkendall, E.O., Trans. AIME 147 (1942) p. 104.Google Scholar
11.DaSilva, I.C.C. and Mehl, R.F., Trans. AIME 191 (1951) p. 155.Google Scholar
12.Nowick, A., Phys. Rev. 62 (1951) p. 551.CrossRefGoogle Scholar
13.Kaufman, J.W. and Koehler, J.S., Phys. Rev. 88 (1952) p. 149; 97 (1955) p. 555.CrossRefGoogle Scholar
14.Gatos, H.C. and Kurtz, A.D., J. Metals 6 (1954) p. 616.Google Scholar
15.Simmons, R.D. and Balluffi, R.W, Phys. Rev. 117 (1960) p. 52; 119 (1960) p. 600.CrossRefGoogle Scholar
16.Simmons, R.D. and Balluffi, R.W., Phys. Rev. 119 (1960) p. 600 (1960).CrossRefGoogle Scholar
17.Simmons, R.D. and Balluffi, R.W., Phys. Rev. 117 (1960) p. 52.CrossRefGoogle Scholar
18.Simmons, R.D. and Balluffi, R.W., Phys. Rev. 125 (1962) p. 862.CrossRefGoogle Scholar
19.Simmons, R.D. and Balluffi, R.W., Phys. Rev. 129 (1963) p. 1533.CrossRefGoogle Scholar
20.Feder, R. and Nowick, A.S., Philos. Mag. 15 (1967) p. 805.CrossRefGoogle Scholar
21.Lazarus, D., Phys. Rev. 93 (1954) p. 973.CrossRefGoogle Scholar
22.Le Claire, A.D., Philos. Mag. 7 (1962) p. 141; 10 (1962) p. 641.CrossRefGoogle Scholar
23.Overhauser, A.W., Phys. Rev. 90 (1953) p. 393.CrossRefGoogle Scholar
24.Le Claire, A.D., Philos. Mag. 10 (1964) p. 641.CrossRefGoogle Scholar
25.Blewett, T.H., Coltman, R.R., Klabunde, C.E., and Noggle, T.S., J. Appl. Phys. 28 (1957) p. 639.CrossRefGoogle Scholar
26.Cooper, H.G., Koehler, J.S., and Marx, J.W., Phys. Rev. 94 (1954) p. 496; L. Phys. Rev. 97 (1955) p. 591.CrossRefGoogle Scholar
27.Meecham, C.J. and Brinkman, J.A., Phys. Rev. 103 (1954) p. 1193; A. Sosin and J.A. Brinkman, Phys. Rev. 120 (1960) p. 411.CrossRefGoogle Scholar
28.Corbett, J.W., Smith, R.B., and Walker, R.M., Phys. Rev. 114 (1959) p. 1452, 1460.CrossRefGoogle Scholar
29.Huntington, H.B., Phys. Rev. 9 (1953) p. 1092.CrossRefGoogle Scholar
30.Gibson, J.B., Goland, A.K., Miligram, M., and Vineyard, G.H., Phys. Rev. 120 (1960) p. 1229.CrossRefGoogle Scholar
31.Blewett, T.H., Coltman, R.R., Klabunde, C.E., and Noggle, T.S., J. Appl. Phys. 28 (1957) p. 639.CrossRefGoogle Scholar
32.Silsbee, R.H., J. Appl. Phys. 28 (1957) p. 1246.CrossRefGoogle Scholar