... . . . . . . . . . . 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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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 3 ppt
... 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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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 4 potx
... 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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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 5 pps
... 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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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 6 potx
... (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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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 7 pot
... 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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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 8 pptx
... 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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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 9 docx
... 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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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 3 Part 1 doc
... 31 , 17 7 (19 90) 16 . A. Peker, W.L. Johnson, Appl. Phys. Lett. 63, 234 2 (19 93) 17 . X.H. Lin, W.L. Johnson, J. Appl. Phys. 78, 6 514 (19 95) 18 . W.L. Johnson, Mat. Res. Soc. Symp. Proc. 554, 31 1 (19 99) 19 . ... 615 (19 84) 13 . A. Inoue, T. Zhang, T. Masumoto, Mater. Trans., JIM, 33 , 965 (19 90) 14 . A. Inoue, Mater. Trans., JIM, 36 , 866 (19 95) 15 . A. Inoue, T. Zhang,...
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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 3 Part 2 pot
... Non-Cryst. Sol. 35 1, 38 16 (20 05) 29 . A.W. Imre, S. Voss, H. Mehrer, Phys. Chem. Chem. Phys. 4, 32 19 (20 02) 30 . S. Voss, F. Berkemeier, A.W. Imre, H. Mehrer, Z. Phys. Chem. 21 8, 135 3 (20 04) 538 30 Diffusion ... atoms. References 5 43 31. Y. Gao, C. Cramer, Solid State Ionics 176, 921 (20 05) 32 . R.J. Charles, J. Amer. Ceram. Soc. 48, 4 32 (1965) 33 . R. Terai, J. N...
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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 3 Part 3 pot
... slopes of diagrams like Fig. 32 .14 as sD gb δ =1 .32 2 D t (−∂¯c/∂z 6/5 ) −5 /3 (32 .42) for constant-source conditions and sD gb δ =1 .30 8 D t (−∂¯c/∂z 6/5 ) −5 /3 (32 . 43) for instantaneous-source ... Philib- ert [28]. The first term of Eq. (32 .10) is a complementary error function c 1 = c 0 erfc(η/2) (32 . 13) 32 .3 Diffusion along an Isolated Boundary (Fisher Model) 559 32...
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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 3 Part 4 pps
... C: Solid State Physics 14, 38 63 (1981) 11. A.D. Le Claire, A. Rabinovitch, J. Phys. C: Solid State Physics 15, 33 45 (1982), erratum 5727 12. A.D. Le Claire, A. Rabinovitch, J. Phys. C: Solid State ... Defect and Diffusion Forum 95–98, 39 3 40 4 (19 93) 35 . J. Sommer, Chr. Herzig, J. Appl. Phys. 72, 2758–2766 (1992) 36 . A.D. Le Claire, Brit. J. Appl. Phys. 14, 35 1 (19 6...
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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 3 Part 5 pps
... Electochem. Soc. 134 , 152 4 (1987); Progr. in Solid State Chemistry 23, 171 (19 95) ; Solid State Ionics 131 , 13 (2000) 66. W. Puin, P. Heitjans, Nanostruct. Mater. 6, 8 85 8 (19 95) 67. W. Puin, S. ... Ni 3 Al as a function of composition at 0. 75 T m from [39 ] 35 6 20. 15 Self-diffusion in L1 2 structured Ni 3 Alaccordingto [39 ] 35 7 20.16 Self-diffusion in the L1 2 inte...
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Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 3 Part 6 docx
... 504, 5 06, 510, 5 23, 598 Cu 3 Au rule 36 5, 36 6 majority element 36 6 minority element 36 6 cylindrical coordinates 32 D0 3 inremetallics 36 7 D0 3 intermetallics 35 7 Cu 3 Sn 35 8 D0 3 Fe 3 Si 35 8 sublattice ... 457 anelasticity 237 , 239 anisotropic media 33 anisotropy ratio 30 8 Arrhenius diagram 127, 2 46, 287, 289, 30 1, 30 4, 31 7, 33 2, 33 3, 3...
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