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粒子偏析-基礎科學或應用工程

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166

‘__..

_ .

(2)

duz - dX dX Xs-Xv=Q[ RT Xv(l-Xv) -2Cl

xs-xv=-

dW(Xs > XLl( I-Xv) dXs RT

xs-xv=-

dW(Xs) c RT + dXs xv ( l-Xv) 167 : _ .

(3)

P

P = - exp(- e - E N - P -) n - p RT Xb x v = - exp(- AG X;-Xb 1 - x v -)RT

AG

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

(4)

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=-.at

axv

D-

as E=CI=~ at =2 at

d aXb B d dXv E=O X b ( t ) - X v

Xb (co)-Xv =l-exp C (Bd) 24Dt ]erf(

2/K

Bd )

(5)

Xb(t)

Xb (03) =

kexp(- $$-

>Cl-exp(-4(E+l)Dt >erf( BZdZ

C-E)

“*erf (---I l,Z-ED t

BZd2

(6)

i-I

(7)
(8)
(9)
(10)

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

(11)

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%

r Pbltil%i-&A~~

%lkFMmR%BR

_I EE?Eml%&&BS 0 1 7 6 STRESS C O R R O S I O N INTERCRYSThLLItlE :ORROSIOt~ STRESS-RELIEF UiBRITTLMENT LIQUID riETAL I3DRITTLEHENT WELD C M C K I N C

a

THIN FILH INTERDIFFUSION

POHDCR flEThLLURCY

SINTCRIIG

DIFFUSION

I II

1

GRAIN DOUNDARY PRECIPITATIOH (CP, JCP, DP), P F Z

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r---‘

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c 5s lC? 158 : IL1

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1 8 0 1 II 2-clbcd e b a bc ---l

- _____ -- ---

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