Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 3 Part 2 pot
Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 1 pps
... . . . . . . . . . . 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...
Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 2 doc
... 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...
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...
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...
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)...
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...
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...
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...
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...
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,...
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...
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...
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...
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...
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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