Equilibrium shape and interface roughening of small liquid Pb inclusions in solid Al

被引:82
作者
Gabrisch, H
Kjeldgaard, L
Johnson, E
Dahmen, U
机构
[1] Lawrence Berkeley Lab, Natl Ctr Electron Microscopy, Berkeley, CA 94720 USA
[2] Univ Copenhagen, Niels Bohr Inst, Orsted Lab, DK-2100 Copenhagen, Denmark
关键词
interface; phase transformations; aluminium alloys; equilibrium shape; transmission electron microscopy (TEM);
D O I
10.1016/S1359-6454(01)00307-X
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The shape of liquid Pb inclusions embedded in a solid At matrix was investigated at temperatures between 300 and 500 degreesC using in-situ electron microscopy. Inclusion shapes in the size rang, from a few nanometers to about 150 nm were found to depend on size, temperature and thermal history. During isothermal annealing after melting, small inclusions rounded off while larger inclusions remained faceted until the temperature was raised to about 500 degreesC. During subsequent cooling, inclusions refaceted, although less strongly than during heating. The shape hysteresis between heating and cooling cycles was found to be due to the barrier of ledge nucleation necessary to advance the faceted interfaces. It is shown that this kinetic barrier can explain the observed dependence on size and temperature, and that the (111) interface undergoes a roughening transition at about 550 degreesC. Even under conditions of kinetic limitation it was possible to measure local equilibrium by modeling kinetically limited inclusions as a droplet in a crevice. For this type of measurement, the hysteresis between heating and cooling cycles disappeared, and the true equilibrium shape could be derived. The anisotropy of interfacial energy was shown to be significantly smaller than previously reported, and at about 2%, similar to the anisotropy of the surface energy for fcc metals, From the width of facets on the equilibrium shape, the step energy was determined to be epsilon = 1.9(.)10(-11) J/m at 350 degreesC. Published by Elsevier Science Ltd on behalf of Acta Materialia Inc.
引用
收藏
页码:4259 / 4269
页数:11
相关论文
共 37 条
[1]   FACETING OF GP ZONES IN AN AL-AG ALLOY [J].
ALEXANDERKB ;
LEGOUES, FK ;
AARONSON, HI ;
LAUGHLIN, DE .
ACTA METALLURGICA, 1984, 32 (12) :2241-2249
[2]  
[Anonymous], 1987, CHEM PHYS SOLID SURF
[3]   Step energetics of Pb(111) vicinal surfaces from facet shape [J].
Arenhold, K ;
Surnev, S ;
Bonzel, HP ;
Wynblatt, P .
SURFACE SCIENCE, 1999, 424 (2-3) :271-277
[4]   THEORY OF CRYSTAL GROWTH AND INTERFACE MOTION IN CRYSTALLINE MATERIALS [J].
CAHN, JW .
ACTA METALLURGICA, 1960, 8 (08) :554-562
[5]   EQUILIBRIUM SHAPES OF FCC METALLIC CRYSTALS IN LIQUID ALLOYS [J].
CAMEL, D ;
SIMON, JP ;
EUSTATHOPOULOS, N .
SCRIPTA METALLURGICA, 1980, 14 (10) :1101-1104
[6]   Magic-size equilibrium shapes of nanoscale Pb inclusions in Al [J].
Dahmen, U ;
Xiao, SQ ;
Paciornik, S ;
Johnson, E ;
Johansen, A .
PHYSICAL REVIEW LETTERS, 1997, 78 (03) :471-474
[7]  
GABRISCH H, UNPUB
[8]  
GABRISCH H, 1999, IN PRESS U P MRS FAL
[9]  
GABRISCH H, 2000, MICR MICROANALSYSIS, V6, P1062
[10]   ON SURFACE-ENERGY MEASUREMENT FROM THE SHAPE OF SMALL CRYSTALS [J].
GOODHEW, PJ ;
SMITH, DA .
SCRIPTA METALLURGICA, 1982, 16 (01) :69-74