An Introduction to Solid State Diffusion by Richard J. Borg and G. J. Dienes (Auth.)

By Richard J. Borg and G. J. Dienes (Auth.)

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RT Complexes Line imperfections in crystals are termed dislocations and consist of extra or misaligned crystallographic planes. They give rise to localized dilations and contractions. , the dotted line, results in a vertical translation of a single atomic spacing. between the vacancy and the defect. 12 illustrates the basic features of the prototypic line dislocations. v where a is the effective average number of complexing sites per disloca­ tion, and J_ stands for dislocation. ) + (F ±V F ° „ ) = 0.

Diffusive j u m p is a. Consequently, a measurement of the ionic conductivity leads to a value for D which is two times too large. The discrepancy between these two types of measurements provides the main support for the interstitialcy theory. C. Crowdion Mechanism T h e sharing of a single lattice site by two atoms, as in the case of split interstitials, is carried to the extreme by the crowdion configuration where « 4 - 1 atoms occupy η lattice sites. (See Fig. ) There are n o surely proven cases of a crowdion configuration existing in thermal equilibrium in a well annealed crystal, but it may exist as the result of radiation damage.

H o w does this compare with the number of thermally activated dis­ placements if the average value of D for the cladding is 1 0 ~ c m / s e c ? Assume the interatomic spacing of the cladding is 4 A. C a n you explain why radiation produced defects can degrade the mechanical integrity of a solid, while a much greater number of equilibrium defects do not? 1 0 2 Additional General References P. G. , N e w York 1963. C h a p . 1 provides a clear and concise introduction to the diffusion equations including derivations.

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