A simple model for dynamic small-angle X-ray diffraction in colloidal crystals

Beer, Alex G. F. de; Petukhov, Andrei V.

doi:10.1107/s0021889806046772

Cited by 3 publications

(2 citation statements)

References 46 publications

(58 reference statements)

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“…The kinematic approach, which assumes weak scattering, is only applicable for much smaller phase shifts. It is therefore clear that dynamic effects could become important ( de Beer & Petukhov, 2007). The above estimate of the longitudinal self-correlation length L z can therefore be considered as the lower limit of L z .…”

Section: Resultsmentioning

confidence: 98%

Long-range ordering in anodic alumina films: a microradian X-ray diffraction study

et al. 2010

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A quantitative analysis of long-range order in the self-organized porous structure of anodic alumina films has been performed on the basis of a microradian X-ray diffraction study. The structure is shown to possess orientational order over macroscopic distances larger than 1 mm. At the same time, the interpore positional order is only short-range and does not extend over more than $10 interpore distances. These positional correlations are mostly lost gradually rather than at the domain boundaries, as suggested by the divergence of the peak width for the higher-order reflections. In the direction of the film growth the pores have a very long longitudinal self-correlation length of the order of tens of micrometres.

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Section: Resultsmentioning

confidence: 98%

Long-range ordering in anodic alumina films: a microradian X-ray diffraction study

et al. 2010

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“…In those cases, Small angle x-ray or Neutron Scattering (SAXS or SANS) can be employed for polymer particles [162], and Ultra Small Angel x-ray Scattering (USAXS) can be employed for silica and other inorganic particles [163][164][165]. Extension to dynamical diffraction theory as done for small angle x-ray scattering should also be feasible there [166]. Coherent x-ray imaging has been employed to characterize defect structures in fcc colloidal crystals [167] and recently also x-ray microscopy has been used to investigate crystallizing samples of sedimenting, anisotropic inorganic colloids [168].…”

Section: Scatteringmentioning

confidence: 99%

Crystallization kinetics of colloidal model suspensions: recent achievements and new perspectives

Palberg

2014

J. Phys.: Condens. Matter

125

132

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Colloidal model systems allow studying crystallization kinetics under fairly ideal conditions, with rather well-characterized pair interactions and minimized external influences. In complementary approaches experiment, analytic theory and simulation have been employed to study colloidal solidification in great detail. These studies were based on advanced optical methods, careful system characterization and sophisticated numerical methods. Over the last decade, both the effects of the type, strength and range of the pair-interaction between the colloidal particles and those of the colloid-specific polydispersity have been addressed in a quantitative way. Key parameters of crystallization have been derived and compared to those of metal systems. These systematic investigations significantly contributed to an enhanced understanding of the crystallization processes in general. Further, new fundamental questions have arisen and (partially) been solved over the last decade: including, for example, a two-step nucleation mechanism in homogeneous nucleation, choice of the crystallization pathway, or the subtle interplay of boundary conditions in heterogeneous nucleation. On the other hand, via the application of both gradients and external fields the competition between different nucleation and growth modes can be controlled and the resulting microstructure be influenced. The present review attempts to cover the interesting developments that have occurred since the turn of the millennium and to identify important novel trends, with particular focus on experimental aspects.

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Diffuse scattering in random-stacking hexagonal close-packed crystals of colloidal hard spheres

et al. 2010

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A simple model for dynamic small-angle X-ray diffraction in colloidal crystals

Cited by 3 publications

References 46 publications

Long-range ordering in anodic alumina films: a microradian X-ray diffraction study

Long-range ordering in anodic alumina films: a microradian X-ray diffraction study

Crystallization kinetics of colloidal model suspensions: recent achievements and new perspectives

Diffuse scattering in random-stacking hexagonal close-packed crystals of colloidal hard spheres

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