Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 3 Part 3 pot

... . . . . . . . . . . 17 3 References 17 6 11 Diffusion and External Driving Forces 17 9 11 .1 Overview 17 9 11 .2 Fick’sEquations with Drift 18 1 11 .3 Nernst-EinsteinRelation 18 2 11 .4 Nernst-Einstein ... Diffusion 15 1 9 .1 Single-jumpMechanisms 15 1 9.2 CollectiveMechanisms 15 5 9.3 IsotopeEffectExperiments 15 5 References 15 9 10 Interdiffusion and Kirkendall Effect 16 1 1...

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... ϕ: ∂C ∂t = D r 2  ∂ ∂r  r 2 ∂C ∂r  + 1 sin Θ ∂ ∂Θ  sin Θ ∂C ∂Θ  + 1 sin 2 Θ ∂ 2 C ∂ 2 ϕ  = D  ∂ 2 C ∂r 2 + 2 r ∂C ∂r + 1 r 2 sin 2 Θ ∂ 2 C ∂ϕ 2 + 1 r 2 ∂ 2 C ∂Θ 2 + 1 r 2 cot Θ ∂C ∂Θ  . (2. 9) Experimental ... Soc. A 18 7 , 383 (18 96) 9. S. Dushman and I. Langmuir, Phys. Rev. 20 , 11 3 (19 22 ) 10 . J. Groh, G. von Hevesy, Ann. Physik 63...

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... 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 . (3. 7) 4 .1 Random Walk and Diffusion 59 C(x, ... 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)J...

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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 ì 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 ... der Physik 17 , 549 (19 05) 2. M. van Smoluchowski, Annalen der Physik 21, 756 (19 06) 3. M. van Smoluchowski, Z. Phys. 13 , 10 69 (19 12); and Physikalische Zeitschrift...

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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. ... Funke, H.Mehrer,J.Phys.Chem.B ,11 1, 53 01 53 07 (2007) 15 . N.L. Peterson, J. Nucl. Materials 69–70, 3 (19 78) 16 . H. Mehrer, J. Nucl. Materials 69–70, 38 (19 78)...

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... (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 (19 64 ); see also [29] 16 . J. Philibert, Atom Movements – Diffusion ... Faraday Soc. 52, 7 86 (19 56) 21. K. Compaan, Y. Haven, Trans. Faraday Soc. 54, 14 98 (19 58) 22. J.G. Mullen, Phys. Rev. 12 4, 17 23 (19 61 ) 23. R.E. H...

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... 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 Diffusion in Solids, in:Physical ... Materials 69 70 , 3 (19 78 ) 4. H.Mehrer,J.ofNucl.Materials69 70 , 38 (19 78 ) 5. R.N. Jeffrey, D. Lazarus, J. Appl. Phys. 41, 318 6 (19 70 ) 6. H. Mehrer, Defect and Diffusion...

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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, 84 3 (19 57) 13...

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... Belova, G.E. Murch, Philos. Mag. A75, 17 15 ( 19 97 ) 18 . Th. Heumann, J. Phys. F: Metal Physics 9, 19 97 ( 19 79) 19 . L.K. Moleko, A.R. Allnatt, Philos. Mag. A 59, 14 1 ( 19 89) 20. S. Sharma, D.K. Chatuvedi, ... 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...

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... several ten nm and 10 àm, 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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... 53, 12 6 1 (19 82) 16 . P.F. Green, D.L. Sidebottom, R.K. Brown, J. Non-cryst. Solids 1 72 17 4, 13 53 (19 94) 17 . P.F. Green, D.L. Sidebottom, R.K. Brown, J.H. Hudgens, J. Non-cryst. Solids 23 1, 89 (19 98) 18 . ... L.Neel,J.Phys.Rad. 12 , 339 (19 51) ; J. Phys. Rad. 13 , 24 9 (19 52) ; J. Phys. Rad. 14 , 22 5 (19 54) 25 6 15 Nuclear Methods is given by the Bloch equa...

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... Ferguson, Phys. Rev. Lett 29 , 125 0 (19 72) 46. D. Wolf, Appl. Phys. Letters 30, 617 (1977) 47. D. Wilmer, J. Combet, Chemical Physics 29 2, 143 (20 03) 28 2 15 Nuclear Methods 22 . G. Majer, presented ... = R 1+iωCR , (16.6) where ω =2 ν denotes the angular frequency. Then, the real and imaginary parts of the impedance can be written as Z  = R 1+ω 2 R 2 C 2 and Z  = ωCR 2 1...

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... Pb [14] [16] [18] [ 12] [19] [20 ] [ 23 ] ∆H [kJ mol −1 ] 21 1 170 165 28 1 26 6 25 7 107 D 0 [10 −4 m 2 s −1 ] 0.78 0.041 0. 027 1 .33 0 .20 5 0.05 0.887 ∆H/k B T m 18.7 16.5 14.8 19.5 17.5 15 .2 21.4 a correlation ... 19 82, p. 558 29 . J. Mullen, Phys. Rev. 124 (1961) 1 7 23 30 . M. Lăubbehusen, H. Mehrer, Acta Metall. Mater. 38 , 28 3 (1990) 31 . Y. Iijima, K. Kimura, K. Hir...

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... scale 3 82 21 Diffusion in Quasicrystalline Alloys 20 . C. Janot, Phys. Rev. B 73, 181 (19 96) 21 . R. Lăuck, Production of Quasicrystalline Alloys and Phase Diagrams,p .22 2 in [4], 20 02 22. C. Beeli, ... Tsai, H. Nakajima, Mat. Sci. A 29 4 29 6, 7 02 (20 00) 37. C. Khoukaz, R. Galler, H. Mehrer, P.C. Canfield, I.R. Fisher, M. Feuerbacher, Mater. Sci. Eng. A 29 4 29 6, 69 7 (20 00...

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... Lidiard, Rep. Progr. Phys. 27 , 161 24 0 ( 196 4) 41. W.D. Compton, R.J. Maurer, J. Phys. Chem. Solids 1, 191 ( 195 6) 42. D. Tannhauser, J. Phys. Chem. Solids 5, 22 4 ( 195 8) 27 .1 Fast Silver-Ion Conductors ... Singapore, 199 3 26 . R.J. Friauf, J. Appl. Phys., Suppl. to Vol. 33, 494 ( 19 62) 27 . N. Laurance, Phys. Rev. 120 , 57 ( 196 0) 28 . V.C. Nelson, R.J. Friauf, J. Phys...

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