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

Gabrisch, Heike; Kjeldgaard, L.; Johnson, E.; Dahmen, U.

doi:10.1016/s1359-6454(01)00307-x

Cited by 91 publications

(56 citation statements)

References 30 publications

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“…However, the shapes in the pure nickel system should be regarded as kinetically frozen ones near their equilibrium state. In fact, most studies on the equilibrium crystal shapes have F o r P e e r R e v i e w O n l y 15 been done on crystals whose surface energy anisotropy is so small that the shape involves isotropic curved surfaces [17,26,29].…”

Section: Methodsmentioning

confidence: 99%

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Equilibrium shape of nickel crystal

Hong

et al. 2009

Philosophical Magazine

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Section: Methodsmentioning

confidence: 99%

“…One that is the most straightforward, though it is only qualitatively acceptable [13][14][15] is to monitor the shape of isolated crystals in a closed system at a specific temperature of interest [16,17]. When a consensus on the shape of the majority of crystals is reached, the shape can be approximated as the ECS.…”

Section: Introductionmentioning

confidence: 99%

Equilibrium shape of nickel crystal

Hong

et al. 2009

Philosophical Magazine

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“…Evidence for the critical role of interfacial properties can be found in many examples of solid-liquid transformations, such as nucleation, [1][2][3][4] eutectic solidification, [5][6][7] and dendritic solidification. [8][9][10][11][12] In each of these cases, some characteristic microstructural length scale is selected in accord with the partitioning of the driving forces required to overcome the intrinsic resistance to local curvature ͑⌬G r ͒ and interface motion ͑⌬G k ͒:…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional crystal-melt Wulff-shape and interfacial stiffness in the Al-Sn binary system

Napolitano

Liu

2004

Phys. Rev. B

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The quantitative determination of the three-dimensional Wulff shape for a metallic crystal-melt system is reported here. The anisotropy of crystal-melt interfacial free energy is experimentally measured for the Al-Sn binary system at temperatures of 300 and 500°C. Equilibrium shapes of liquid droplets entrained within the crystalline phase are measured experimentally on sequential two-dimensional sections, and the threedimensional Wulff plot is reconstructed. For this system, it is found that a single-parameter description of anisotropy is not sufficient, and the anisotropy is reported using the leading terms of the relevant cubic harmonics. Accordingly, the anisotropy coefficients are determined to be ε1=(1.81±0.36)×10−2 and ε2=(−1.12±0.13)×10−2. In addition, the corresponding normal stiffness components as well as a generalized stiffness are quantified and compared with available predictions from atomistic simulations. The quantitative determination of the three-dimensional Wulff shape for a metallic crystal-melt system is reported here. The anisotropy of crystal-melt interfacial free energy is experimentally measured for the Al-Sn binary system at temperatures of 300 and 500°C. Equilibrium shapes of liquid droplets entrained within the crystalline phase are measured experimentally on sequential two-dimensional sections, and the threedimensional Wulff plot is reconstructed. For this system, it is found that a single-parameter description of anisotropy is not sufficient, and the anisotropy is reported using the leading terms of the relevant cubic harmonics. Accordingly, the anisotropy coefficients are determined to be 1 = ͑1.81± 0.36͒ ϫ 10 −2 and 2 = ͑−1.12± 0.13͒ ϫ 10 −2 . In addition, the corresponding normal stiffness components as well as a generalized stiffness are quantified and compared with available predictions from atomistic simulations.

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“…When the dislocations in Cu matrix intersect at the Co/Cu interface, it is probable that special microstructures such as terraces and ledges are formed on the interface. According to Gabrish, 34) the ledges on the interface act as an energy barrier of diffusion. Thus, shape changes to an equilibrium state are retarded or blocked.…”

Section: Equilibrium Shape and Interfacial Structurementioning

confidence: 99%

Morphological and Crystallographic Characteristics of Incoherent Octahedral FCC Co Precipitates in a Cu Matrix

et al. 2012

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A Cu3.0 mass%Co alloy was heat-treated by a method named "short-cut aging". Incoherent fcc Co precipitates of about 200 nm in size formed in an fcc Cu matrix were observed with conventional and ultra-high-voltage transmission electron microscopes. Although the Co precipitates had shapes similar to a regular octahedron composed of {111} of the Cu matrix, small deviations from the regular octahedron were found. Most Co/Cu interfaces deviated from {111} of Cu and the average deviation angle ¤ was about 7 deg. Dislocations in the Cu matrix intersecting the Co precipitates were observed for those having deviated interfaces. Deviations of the orientation relationship from an exact cubeon-cube relationship were also found. Although the deviation angle ª of the orientation relationship was much smaller than ¤, there was a linear relationship between ª and ¤. The morphological and crystallographic characteristics of the octahedral Co precipitates are discussed by considering dislocations in the Cu matrix intersecting the Co precipitates.

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

Cited by 91 publications

References 30 publications

Equilibrium shape of nickel crystal

Equilibrium shape of nickel crystal

Three-dimensional crystal-melt Wulff-shape and interfacial stiffness in the Al-Sn binary system

Morphological and Crystallographic Characteristics of Incoherent Octahedral FCC Co Precipitates in a Cu Matrix

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