166
‘__..
_ .
duz - dX dX Xs-Xv=Q[ RT Xv(l-Xv) -2Cl
xs-xv=-
dW(Xs > XLl( I-Xv) dXs RTxs-xv=-
dW(Xs) c RT + dXs xv ( l-Xv) 167 : _ .P
P = - exp(- e - E N - P -) n - p RT Xb x v = - exp(- AG X;-Xb 1 - x v -)RTAG
XoX_bXb
=KXv=Xv exp ( - -) b RT 1 6 8 Xb PG) Xg( l-n(Xb/XE)n]CXv exp(- R T 1 +XBET l+K1 8-XBET(l-*)-t&2*=-$-y
x,k,
=(i-*)[I-*Cl-V
Xb Xv - =F exp((Ei-EL)/RT) X;-Xb v Xb x v X;-Xb = - exp[I-XV -AG-c w( Xb / Xt > 3 RT Xbi X v i exp(-AGi /RT) . i i O= l;$(exp(-AGj/RT)-1) ’ *=‘bi
azxv axv
D7=-.ataxv
D-as E=CI=~ at =2 at
d aXb B d dXv E=O X b ( t ) - X vXb (co)-Xv =l-exp C (Bd) 24Dt ]erf(
2/K
Bd )
Xb(t)
Xb (03) =
kexp(- $$-
>Cl-exp(-4(E+l)Dt >erf( BZdZ
C-E)
“*erf (---I l,Z-ED tBZd2
i-I
1 E. A. Guggenheim, in its:’ London ( 19 3 3 )*
2 H. Suzuki, Sci R e p .
i v . , A4(1952)452
“Modern
Thermodynam-Res. Inst., Tohoku
Un-1H. S u z u k i , J . P h y s . Sot. J a p . , 17(1962)322 4 . P . A . F l i n n , A c t a M e t . , 6(1958)631 5 D. McLean, in”Grain Boundaries in Metals’
, Oxford Univ. Press, London, (19 5 7 ) 116
6 D. Graham, J. Phys. Chem., 57( 1953)665
t 7. E. D. Hondros and M. P. Seah, Metall.
T r a n s . , 8A( 1 9 7 7 ) 1363
I
! 8M. P. Seah and E. D. Hondros, Proc. R
Sot., A335(1973)191
9. S. Brunauer, P. H. Emmett and E. Teller,
!
J . A m e r . C h e m . Sot., 60(1938)309 10.S. Ono and S. Kondo, Handbook Phys.. 10
;
i (1960)134
f 11.F. L. Will iams and D. Nason, Surf. Sci.,
1 %@-@iflJ ( +5!$zm > 1988 z
I
45(1974)377
12.R. H Fowler and E. A. Guggenheim, in ‘* S t a t i s t i c a l T h e r m o d y n a m i c s ” , C a m b r i d g e Univ. Press, ( 1 9 3 9 )
13.M. Guttmann, Surf. Sci., 53 ( 19 7 5) 213 14.C. Lea and M. P. Seah. Phil. Mag., 35
(1977)213
15. T. H. Chuang, DFG Report, DFG 446 TAI -1 -1 - 8 6 , ( -1 9 8 6 )
16.W. Gust. M. B. Hintz, A. Lodding, H. Odel-ius a n d B . P r e d e l , A c t a M e t . , 30( 1982)75 17. J. H. Westbrook and D. L. Wood, J. Inst.
M e t a l s . 91(1962-63)174
18.0. P. Arora and M. Metzger, Trans. AIME
, 236 ( 19 6 6 ) 1205
19. J. H. Westbrook, A. U. Seybol t and A. J. P e a t , J . E l e c t r o c h e m . Sot., 111(1964)888 20.K. Aoki and 0. Izumi, Nippon Kinzoku
Gakk-a i s h i , 43(1979)1190
21.C. L. Briant and R. P. Messner, Phil. Msg.. 12B( 19 8 0 ) 569
22 J. R. Rice, in”Effect of Hydrogen on Beha-v i o r o f M a t e r i a l s ” . A I M E ( 1 9 76)455 23.C. L. White, J. R. Keiser and D. N. Braski,
M e t . T r a n s . , 12A(1981)1485
24.S. K. Hwang ang and J. W. Morris, Met.
T r a n s . , llA(1980 )1197
25.H. Tega and A. YoshiKawa, Suppl. Trans. ISIJ, 11(1971)1256
26. C. P ichard, J. Rieu and C. Goux, Mem. Sci .
R e v . Metall., 70(1973)13
27.C. L. White, L. Heatherly and R. A. Padgett
. A c t a M e t . , 31(1983)111 28. P. F. Bongers and P. E.
ain Boundary Phenomena
C. Franken, i n “ G r -i n E l e c t r o n -i c
mics”(l980)
29.M. F. Yan and W. W. Rhodes, in “A dvances
in Ceramics ” Vol. ( 19 8 3 > 226
3.P. J. Jorgensen and R. C. Anderson, J. Amer C e r a m . Sot., 50(1967)553
31.F. M. d’ Heurle, J. Electron. Mater., 4( 1975)497
32.M. P. Seah, Surf. Sci., 53( 197 5)168 33. J. Ebberink, R. Ehrmann and G. Menken, 3rd
Conference Applied Surface Analysis (1984 )809
34.S. Hofmann, Gemeinsames Symposium des Max-Planck- Inst i tut fuer Metal 1 forschung
a n d L j u b l i a n a ( 1 9 7 6 )
35.G. Hasson and C. Goux, C. R. Acad. Sci. Pais, 271(1970)1048
36.T. H. Chuang, W. Gust, L. A. Heldt, M. B. Hintz, S. Hofmann, R. Lucic and B. Predel, Scripta Met., 16 ( 19 8 2) 1437 37,s. Suzuki, Scripta Met., 15(1 9 8 1 ) 1 1 3 9 38 H. Erhart, R. Moeller and H. J. Grabke
, i n “ S u r f a c e A n a l y s i s i n M e t a l l u r g y ”
, D G M S y m p o s i u m (1983)109
39.C. L. Briant, Acta Met., 31(198 3)257 4o.w&& (NSC) $%& 77@iZ%
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