Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 10 pdf

... several ten nm and 10 µm, is possible using IBS devices. For a reasonable range of annealing times up to about 10 6 s, a diffusivity range between 10 −23 m 2 s 1 and 10 16 m 2 s 1 can be examined. ... ≡  M R M U =  τ σ τ  M R =  τ  τ σ M U . (14 .16 ) Using the definitions of the mean modulus Eq. (14 .16 ), the mean relaxation time Eq. (14 .15 ) and Eq. (14 .11 ), yields a...

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... BoltzmannTransformation 16 2 10 .1. 2 Boltzmann-MatanoMethod 16 3 10 .1. 3 Sauer-FreiseMethod 16 6 10 .2 IntrinsicDiffusionandKirkendallEffect 16 8 10 .3 DarkenEquations 17 0 10 .4 Darken-ManningEquations 17 2 10 .5 Microstructural ... Diffusion 15 1 9 .1 Single-jumpMechanisms 15 1 9.2 CollectiveMechanisms 15 5 9.3 IsotopeEffectExperiments 15 5 References 15 9 10 Interdi...

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... 358–3 71 (18 28); Edin. J. Sci. 1, 314 (18 29) 13 . A. Einstein, Annalen der Physik 17 , 549 (19 05) 14 . A. Einstein, Annalen der Physik 19 , 3 71 (19 06) 15 . A.Einstein,Z.f¨ur Elektrochemie 13 , 98 (19 07) 16 . ... AIME 13 3, 18 6 (19 39) 28. E.O. Kirkendall, Trans. AIME 14 7, 10 4 (19 42) 29. A.D. Smigelskas, E.O. Kirkendall, Trans. AIME 17 1, 13 0 (19 47) 30. A.M. Sagrub...

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... r 1 to an outer ra- dius r 2 ,andifatr 1 and r 2 the stationary concentrations C 1 and C 2 are maintained, we get from Eq. (3.4) C(r)= C 1 r 1 − C 2 r 2 r 1 − r 2 + (C 1 − C 2 ) ( 1 r 1 − 1 r 2 ) 1 r . ... problem is [1] C(r, t)=C 0  1 − 2 R ∞  n =1 1 α n J 0 (rα n ) J 1 (Rα n ) exp(−Dα 2 n t)  + 2 R 2 ∞  n =1 exp(−Dα 2 n t) J 0 (rα n ) J 2 1 (Rα n )  rf(r)...

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... 10 −4 DD + PAS Cu 1. 17 1. 5 2 10 −4 DD + PAS Au 0.94 1. 1 7.2 × 10 −4 DD Ag 1. 09 – 1. 7 10 −4 DD Pb 0.49 0.7 1. 7 10 −4 DD Pt 1. 49 1. 3 – RQ Ni 1. 7 – – PAS Mo 3.0 – – PAS W4.02. 31 10 −4 RQ+TEM temperature ... 6 01 (19 50) 10 . G. Vineyard, J. Phys. Chem. Sol. 3, 12 1 (19 57) 11 . W.M. Franklin, in: Diffusion in Solids – Recent Developments, A.S. Nowick, J.J....

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... Amsterdam, 19 70, p. 1 21. R. Feder, A.S. Nowick, Phys. Rev. 10 9, 19 59 (19 58) 22. R.O. Simmons, R.W. Balluffi, Phys. Rev. 11 7, 52 (19 60); Phys. Rev. 11 9, 600 (19 60); Phys. Rev. 12 9, 15 33 (19 63); Phys. ... 3, 346 (19 50) 5. E.O. Kirkendall, Trans. AIME 14 7, 10 4 (19 42) 6. A.D. Smigelskas, E.O. Kirkendall, Trans. AIME 17 1, 13 0 (19 47) 7. C. Tuijn, Defect and Diffusion...

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... according to References 12 5 12 . R.E. Howard, J.R. Manning, Phys. Rev. 15 4, 5 61 (19 67) 13 . A.B. Lidiard, Philos. Mag. 46, 12 18 (19 55) 14 . A.B. Lidiard, Philos. Mag. 5, 11 71 (19 60) 15 . J. Manning, Phys. Rev. 13 6, A1758 ... [14 ] Al self-diffusion +1. 29 Beyeler and Adda [8] Ge in Al +1. 16 to + 1. 24 Th¨urer et al. [17 ] Zn in Al +0.74 to +1. 09 Erdelyi et al. [18 ] Mn i...

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... C R , we get from Eq. (10 .6)  C R C L ηdC =0. (10 .11 ) Equation (10 .11 ) can be considered as the definition of the Matano plane. x M must be chosen in such a way that Eq. (10 .11 ) is fulfilled. In order ... Phys. Chem. Sol. 3, 12 1 (19 57) 4. J.G. Mullen, Phys. Rev. 12 1, 16 49 (19 61) 5. A.D. Le Claire, Philos. Mag. 14 , 12 71 (19 66) 6. A.D. Le Claire, Correlation Effects in D...

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... Trans. AIME 17 1, 13 0 (19 47) 9. L.S. Darken, Transactions AIME 17 5, 18 4 (19 48) 10 . F.J.J. van Loo, Progr. Solid State Chemistry 20, 47 (19 90) 11 . F. Seitz, Phys. Rev. 74, 15 13 (19 48) 12 . J. Bardeen, ... (11 .23) can be written as [11 ] σ dc = q 2 CD ∗ fk B T , (11 .25) 19 0 11 Diffusion and External Driving Forces 12 . R.J. Friauf, Phys. Rev. 10 5, 843 (19 57) 13...

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... X q X q = − 1 T ∇T (12 .4) 206 12 Irreversible Thermodynamics and Diffusion 15 . I.V.Belova,G.E.Murch,J.Phys.Chem .Solids6 0, 2023 (19 99): 16 . I.V. Belova, G.E. Murch, Philos. Mag. A78, 10 85 (19 98) 17 . I.V. ... 19 68 13 . J.R. Manning, Phys. Rev. B4, 11 11 (19 71) 14 . L. Zhang, W.A. Oates, G.E. Murch, Philos. Mag. 60, 277 (19 89) 212 13 Direct Diffusion Studies Figure 13 ....

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