Growth from the Melt. I. Influence of Surface Intersections in Pure Metals

Bolling, G. F.; Tiller, W. A.

doi:10.1063/1.1735840

Cited by 164 publications

(53 citation statements)

References 8 publications

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“…Equation (7) is similar to one widely use to determine the liquid-solid surface tension of classical systems, in experiments where gravity is replaced by a temperature gradient [57,58].…”

Section: The Grain Boundary Energymentioning

confidence: 99%

Optical Observations of Disorder in Solid Helium 4

2008

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It has been proposed that the supersolidity of helium 4 is associated with disorder in the solid samples. We report optical observations of this disorder in samples grown by different methods. We show that, when grown by the "blocked capillary method" as in most experiments showing anomalous phenomena, solid helium 4 can be polycrystalline with grain sizes down to the micrometer range, much smaller than the 0.1 mm found in some other experiments.We analyze the properties of grain boundaries, and in particular the existence of liquid channels at the contact of grain boundaries with walls. Our analysis includes measurements of the contact angle of the liquid-solid interface with these walls, which exhibits a large hysteresis. Furthermore, we predict that similar channels should exist at the junction between grain boundaries.

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“…Equation (7) is similar to one widely use to determine the liquid-solid surface tension of classical systems, in experiments where gravity is replaced by a temperature gradient [57,58].…”

Section: The Grain Boundary Energymentioning

confidence: 99%

Optical Observations of Disorder in Solid Helium 4

2008

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“…In order to accommodate the energy of the twin plane, it has been suggested that the shape of the tip of twinned dendrites must be modified with respect to the paraboloid needle shape typically observed for regular dendrites. Based on previous works aimed at measuring the solid-liquid interfacial energy in transparent systems [11,12], and treating the two lamellae as two different grains with a strong crystallographic relationship in a low tilt angle boundary, first Chalmers [13], then more specifically Eady and Hogan [14], suggested that the tip would develop a re-entrant angle or a "cusp" in order to satisfy the Smith equation (which is equivalent to the Young-Laplace equilibrium condition at a triple junction) along the triple line (twinned solid/untwinned solid/liquid). This condition is given by:…”

Section: Introductionmentioning

confidence: 99%

Study of the twinned dendrite tip shape I: Phase-field modeling

2011

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The growth kinetics advantage of twinned aluminum dendrites over regular ones is still an unsolved problem of solidification. Although it is linked to the tip geometry, the influence of a coherent (1 1 1) twin plane on a h1 1 0i twinned dendrite tip is unclear, despite several past experimental observations. In the present contribution, a three-dimensional phase field model implemented on a cluster of parallel computers has been used to simulate the growth of a twinned dendrite under various directional solidification conditions. Only half a dendrite was modeled by replacing the coherent twin plane by a boundary with an appropriate condition on the phase parameter that is equivalent to the Young-Laplace equilibrium condition along the triple line between twinned solid, untwinned solid and liquid. It is found that the small liquid cusp present at the tip rapidly evolves into a doublon-type morphology, i.e. a h1 1 0i dendrite split in its center by a deep and thin liquid pool with the triple line at the root. At high growth rates, the two sides of the doublon tend to coalescence and form small isolated liquid droplets. The positive concentration gradient near the doublon root appears to be rapidly smeared out by back-diffusion in the solid, thus making difficult its quantification through experimental methods. These simulation results are correlated with new experimental evidence presented in a companion paper.

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“…An analysis of the factors controlling the variation in a o has been published by Bolling and Tiller (1960) for the case where the solute transfer in the liquid ahead of the advancing interface is by diffusion only. Although the final form of the analysis is approximate, the physical reasoning behind the analysis is clear.…”

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confidence: 99%