Diffusion Solids Fundamentals Diffusion Controlled Solid State Episode 2 Part 3 pdf

... 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. L¨ubbehusen, H. Mehrer, Acta Metall. Mater. 38 , 28 3 (1990) 31 . Y. Iijima, K. Kimura, K. Hir...

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... Applied Physics 73 , 51 (1995) 23 . G. Richter, Ann. d. Physik 29 , 605 (1 937 ) 24 . L.Neel,J.Phys.Rad. 12, 33 9 (1951); J. Phys. Rad. 13, 24 9 (19 52) ; J. Phys. Rad. 14, 22 5 (1954) 25 6 15 Nuclear Methods is ... n X + n Y + n Z . (14 . 23 ) Substitution of Eq. (14 . 23 ) into Eq. (14 .22 ) yields dn X dt = −Γ int n X + Γ int 2 (n 0 − n eq X )=− 3 2 Γ int  n X − n 0 /3 ...

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... as erf (z)= 2 √ π  z − z 3 (3 ×1)! + z 5 (5 2) ! − z 7 (7 3) ! +  . (3 .24 ) 48 3 Solutions of the Diffusion Equation where T 0 , a,andb are constants. Inserting Eqs. (3. 41) and (3. 42) in (3. 38) yields ... left-hand term is then D ∞  0 exp(−pt) ∂ 2 C ∂x 2 dt = D ∂ 2 ∂x 2 ∞  0 C exp(−pt)dt = D ∂ 2 ¯ C ∂x 2 . (3. 32 ) Integrating the right-hand term of Eq. (3. 31) by...

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... (1894) 30 . C. Matano, Jap. J. Phys. 8, 109–1 13 (1 933 ) 31 . F. Sauer, V. Freise, Z. Elektrochem. 66, 35 3 (19 62) 32 . F.J.A. den Broeder, Scr. Metall. 3, 32 1 (1969) 33 . C E. Richter, Sekund¨arionen-Massenspektroskopie ... suitable technique. 14 .2 Anelasticity and Internal Friction 24 1 After separation into real and imaginary parts we get M  (ω)=M R 1+τ  τ σ ω 2 1+ω 2 τ...

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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, 1 43 (20 03) 28 2 15 Nuclear Methods 22 . G. Majer, presented ... Chem. Phys. 4, 31 55 (20 02) 6. S. Summerfield, Philos. Mag. B 52, 9 (1985) 7. M.D. Ingram, Phys. Chem of Glasses 28 , 21 5 (1987) 8. W. Dieterich, P. Maass, Chem. Physics 28...

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... Intermetallic B2 CuZn,AuCd,AuZn,CoGa,PdIn,FeCo,NiAl(Ga), FeAl(Zn,In), Ag Mg,NiGa,NiMn L1 2 Ni 3 Al, Ni 3 Ge,Ni 3 Ga,Co 3 Ti, Pt 3 Mn,Cu 3 Au (disordered) D0 3 Fe 3 Si(Ge), Cu 3 Sn,Cu 3 Sb, Ni 3 Sb, Fe 3 Al L1 0 TiAl(Ga,Ge), ... V H D 0 /m 2 s −1 5 × 10 −8 (T> ;27 3 K) 4.4 × 10 −8 2. 9 × 10 −8 0.9 × 10 −8 (T< ;27 3 K) ∆H/eV 0.106 (T> ;27 3 K) 0.140 0.0...

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... 1965, p. 20 9 30 . M. Arita, M. Koiwa, S. Ishioka, Acta Metall. 37 , 136 3 (1989) 31 . R. Drautz, M. F¨ahnle, Acta Mater. 47, 24 37 (1999) 32 . I.V. Belova, G.E. Murch, Philos. Mag. A 82, 26 9 (20 02) 33 . N.A. ... quasicrystals Al 70 Pd 21 Re 9 Al 64 Co 16 Cu 20 Ta 1.6 Te Al 70 Pd 21 Mn 9 Al 71.5 Co 14 Ni 14.5 Al 62 Cu 25 TM 13 (TM = Fe, Ru, Os) Al 69.8 Pd 18.1 Mn 12....

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... charge states [2, 3] : C eq I = C eq I 0 + C eq I + + C eq I 2+ + ( 23 .3) C eq V = C eq V + + C eq V 0 + C eq V − , ( 23 .4) and C eq I D I = C eq I 0 D I 0 + C eq I + D I + + C eq I 2+ D I 2+ + ( 23 .5) C eq V D V = ... Hocker, J. Non-Cryst. Solids 33 4 33 5, 30 8 (20 04) References 39 3 14. W. Frank, U. G¨osele, H. Mehrer, A. Seeger, Diffusion in Silicon and Germa- nium,in:Diff...

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... D i ∂ 2 C i ∂x 2 + k −1 C s − k +1 C i C V + k 2 C s C I − k +2 C i (25 .3) ∂C s ∂t = D s ∂ 2 C s ∂x 2    D s ≈0 +k +1 C i C V − k −1 C s + k +2 C i − k 2 C s C I (25 .4) ∂C V ∂t = D V ∂ 2 C V ∂x 2 + ... Kluwer Academic, Dordrecht 1989, p. 588 31 . M. Uematsu, J. Appl. Phys. 62, 22 28 (1997) 32 . S.M. Hu, Materials Science and Engineering R 13, 105 (1994) 422 2...

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... Press, 1975, p. 171 30 . J. Groh, G. von Hevesy, Ann. Physik 63, 85 (1 920 ) 31 . J. Groh, G. von Hevesy, Ann. Physik 65, 21 6 (1 921 ) 32 . J. Pelleg, Philos. Mag. 33 , 165 (1976) 33 . F. Wenwer, N.A. ... ×10 −8 exp  − 1.64 eV k B T  m 2 s −1 , (25 .47) C eq i D i (Ag)=4 .3 ×10 −8 exp  − 2. 30 eV k B T  m 2 s −1 . (25 .48) C eq i D i (Au)=1 .3 ×10 −5 exp  − 2. 98 eV k B T...

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