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

ISBN-10: 0121184250

ISBN-13: 9780121184254

ISBN-10: 0323138403

ISBN-13: 9780323138406

ISBN-10: 1299537901

ISBN-13: 9781299537903

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Extra info for An Introduction to Solid State Diffusion

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T h e mathematics are nicely related to atomic motion in a clear, understand­ able way. L. A. Girifalco, Atomic Migration in Crystals, Blaisdell, 1964, provides a lucid discussion of the basic physics with an absolute m i n i m u m of mathematics. S. C h a n d r a s e k h a r , "Stochastic Problems in Physics and A s t r o n o m y " Rev. Mod. Phys. 15, 1 (1943), goes far beyond the mathematical knowledge needed for this text. Nevertheless, C h a p t e r 1, pages 1-20 is one of the best and most rigorous derivation of the relation b e t w e e n diffusion and r a n d o m walks.

29) to represent the number of ways of arranging single vacancies on lattice sites in a manner which creates n o new divacancies. The second term defines the number of different ways of arranging divacancies on (z/2)N lattice sites exclusive of those sites already occupied by the N mono-vacancies. 29) can be much simplified without significant loss of accuracy if one remembers that both N and N are much smaller than N . 30). 30) - N„ \\N„ ! 24) which, as usual, is simplified by Stirling's formula.

Kirkendall, Metals Trans. AIME, 171, 130 (1947). l Technol. 13, Tech. Pub. 4 T h e marker movement experiment of Smigelskas and Kirkendall. The distance between the o p p o s i n g sets of M o wires was found to decrease with the time of the diffusion anneal, thus d e m o n s t r a t i n g that Z n diffuses faster than Cu. Aside from marker movement experiments, there now exists an over­ whelming number of independent methods, such as quenching and dilation experiments from which the validity of the vacancy mechanism can be inferred.

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

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