Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 4 potx
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 × 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 Physika...
Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 6 potx
... 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 ... Haven, Trans. Faraday Soc. 54, 14 98 (19 58)
22. J.G. Mullen, Phys. Rev. 12 4, 17 23 (19 61)
23. R.E. Howard, Phys. Rev. 14 4 650 (19 66)...
Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 1 pps
... . . . . 242
14 .4 ExamplesofDiffusion-relatedAnelasticty 244
14 .4 .1 SnoekEffect(SnoekRelaxation) 244
14 .4. 2 Zener Effect (Zener Relaxation) . . . . . . . . . . . . . . . . . . . . 247
14 .4. 3 GorskiEffect(GorskiRelaxation) ... Kirkendall Effect 16 1
10 .1 Interdiffusion 16 1
10 .1. 1 BoltzmannTransformation 16 2
10 .1. 2 Boltzmann-MatanoMethod 16 3
10 .1. 3 Sauer-FreiseMeth...
Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 2 doc
... 358–3 71 (18 28); Edin. J. Sci. 1, 3 14 (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....
Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 3 ppt
... 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
. ... function, keeping only the
first term (Fig. 4 .1) , we get
C
1
− C
2
= −λ
∂C
∂x
. (4. 4)
Inserting Eqs. (4. 3) and (4. 4) into Eq. (4. 2) we arrive at
J = −λ
2
Γ...
Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 5 pps
... Cryst. 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 Forum 14 3 14 7, 11 (19 97)
10 2 6 ... chain 1 ∞
square planar 1 ∞
diamond 0 .44 23 1. 7929
imple cubic 0. 340 5 1. 516 4
bcc 0.2822 1. 3932
fcc 0.2536 1. 344 7
bcc, octahedral interstices 0 .42 87...
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 ... Publishing, 19 83, p .11 39
21. R.M. Emrick, Phys. Rev. 12 2, 17 20 17 33 (19 61)
22. D.N. Yoon, D. Lazarus, Phys. Rev. B 5, 49 35 (19 72)
23. B.E. Mellander, Phys. Rev. B...
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, ... Forum 12 9 13 0
(19 96)
15 . I.Daruka,I.A.Szabo,D.L.Beke,C.Cerhati,A.A.Kodentsov,F.J.J.vanLoo,
Acta Mater. 44 , 49 81 (19 96)
16 . S. Prager, J. Chem. Ph...
Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 9 docx
... 12 N
B
ω
4
ω
3
ω
−
d
2
C
V
N
B
k
B
T
ω
4
ω
3
40 ω
1
ω
3
+40 ω
2
3
+ 14 ω
2
ω
3
+4
1
ω
2
ω
1
+ ω
2
+7ω
3
/2
+
7ω
3
ω
ω
4
L
BB
=
d
2
C
V
N
B
k
B
T
ω
4
ω
3
ω
2
(ω
1
+7ω
3
/2)
ω
1
+ ω
2
+7ω
3
/2
L
AB
=
d
2
C
V
N
B
k
B
T
ω
4
ω
3
ω
2
(−2ω
1
+7ω
3
)
ω
1
+ ... 19 68
13 . J.R. Manning, Phys. Rev. B4, 11 11 (19 71)
14 . L. Zhang, W.A. Oates, G.E. Murch, Philos....
Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 1 Part 10 pdf
... ≡
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 basic expression for internal friction:
Q
1
= π tan δ ... with a frequency ω and substituting Eqs. ( 14 .4) and ( 14 .5) into
Eq. ( 14 .1) yields after a few steps of algebra
ˆ
M = M
R
1+ τ
σ
iω
1+ τ
iω
. (...