Observation of Oriented Close-Packed Lattice Planes in Polycrystalline Hard-Sphere Solids

Heymann, Andreas; Stipp, Andreas; Sinn, Christian; Palberg, Thomas

doi:10.1006/jcis.1998.5761

Cited by 38 publications

(47 citation statements)

References 30 publications

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“…͑4͒ to the experimental data. Palberg 12 fitted the data from Harland and van Megen 7 and obtained ␥ϭ0.5k B T/ 2 and ϭ17d NN , while for the data from Heymann et al 11 he found ␥ϭ0.54k B T/ 2 and ϭ2.8d NN , where is the particle diameter and d NN is the nearest neighbor distance. The functional form is described well by the CNT expression for the nucleation rate, but the estimates for the surface free energy are now known to be rather low.…”

Section: ͑2͒mentioning

confidence: 93%

“…1 we show the results from crystallization rate measurements in hard-sphere colloids, performed by two different groups. 7,11 For this system the difference in chemical potential between the two phases can be calculated accurately from existing analytical expressions for the equation of state. The curves in the figure result from a two parameter fit of Eq.…”

Section: ͑2͒mentioning

confidence: 99%

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Numerical prediction of absolute crystallization rates in hard-sphere colloids

Auer

Frenkel

2004

The Journal of Chemical Physics

345

349

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Special computational techniques are required to compute absolute crystal nucleation rates of colloidal suspensions. Using crystal nucleation of hard-sphere colloids as an example, we describe in some detail the novel computational tools that are needed to perform such calculations. In particular, we focus on the definition of appropriate order parameters that distinguish liquid from crystal, and on techniques to compute the kinetic prefactor that enters in the expression for the nucleation rate. In addition, we discuss the relation between simulation results and theoretical predictions based on classical nucleation theory.

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Section: ͑2͒mentioning

confidence: 93%

Section: ͑2͒mentioning

confidence: 99%

Numerical prediction of absolute crystallization rates in hard-sphere colloids

Auer

Frenkel

2004

The Journal of Chemical Physics

345

349

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“…The inset shows the dimensionless nucleation rate densities plotted logarithmically versus The figure is taken from Ref. [4] and obtained y = 0.5kB T/cr2 and A = I7dNN, while for the data from Heymann et al [6] he found y = 0.54kBT1c2 and A = 2.8dNN, where a is the particle diameter and dNN is the nearest neighbor distance. The estimates for the surface free energy are rather low when compared to numerical estimates [7] and the values of the effective jump length A seem rather large (a factor 10 to 100 larger than the mean free path in the liquid).…”

Section: Introductionmentioning

confidence: 96%

“…In Fig. 3 we show the results from crystallization rate measurements in hard-sphere colloids, performed by two different groups [5,6]. For this system the difference in chemical potential between the two phases can be calculated accurately from existing analytical expressions for the equation of state.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Crystal Nucleation in Colloids

Auer¹,

Frenkel²

2005

Advances in Polymer Science

100

126

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This article reviews the recent progress that has been made in the application of computer simulations to study crystal nucleation in colloidal systems. We discuss the concept and the numerical methods that allow for a quantitative prediction of crystal nucleation rates. The computed nucleation rates are predicted from first principles and can be directly compared to experiments. These techniques have been applied to study crystal nucleation in hard-sphere colloids, polydisperse hard-sphere colloids, weakly charged or slightly soft colloids and hardsphere colloids that are confined between two plane hard walls.

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“…42 In fcc, {111} is the densest packed lattice plane and typically also the one covering a flat wall. 43,44 The occurrence of stacking faults of {111} planes during growth yields randomly stacked hcp structures (r-hcp). At moderate particle concentrations, these anneal in time to yield larger blocks of fcc crystals with a continuously varying stacking parameter α, 42,[45][46][47] while under further gravitational compression a transient melting seems to be needed for conversion from r-hcp to fcc.…”

Section: Introductionmentioning

confidence: 99%

Micro-structure evolution of wall based crystals after casting of model suspensions as obtained from Bragg microscopy

Palberg

Maaroufi

Stipp

et al. 2012

The Journal of Chemical Physics

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Nucleation and crystal growth in a suspension of charged colloidal silica spheres with bi-modal size distribution studied by time-resolved ultra-small-angle X-ray scattering The Journal of Chemical Physics 141, 214906 (2014) Growth of heterogeneously nucleated, wall based crystals plays a major role in determining the micro-structure during melt casting. This issue is here addressed using a model system of charged colloidal spheres in deionized aqueous suspension observed by Bragg microscopy which is a combination of light scattering and microscopy. We examine the evolution of the three-dimensional size, shape, and orientation of twin domains in monolithic crystals growing from two opposing planar walls into a meta-stable (shear-) melt. At each wall crystal orientation and twinning emerges during nucleation with small domains. During growth these widen and merge. From image analysis we observe the lateral coarsening velocities to follow a power law behaviour L XY ∝ t 1/2 as long as the vertical growth continues at constant speed. Lateral coarsening terminates upon intersection of the two solids and hardly any further ripening is seen. Initial lateral coarsening velocities show a Wilson Frenkel type dependence on the melt meta-stability.

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Observation of Oriented Close-Packed Lattice Planes in Polycrystalline Hard-Sphere Solids

Cited by 38 publications

References 30 publications

Numerical prediction of absolute crystallization rates in hard-sphere colloids

Numerical prediction of absolute crystallization rates in hard-sphere colloids

Numerical Simulation of Crystal Nucleation in Colloids

Micro-structure evolution of wall based crystals after casting of model suspensions as obtained from Bragg microscopy

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