Three-dimensional periodic complex structures in soft matter: investigation using scattering methods

Impéror‐Clerc, Marianne

doi:10.1098/rsfs.2011.0081

Cited by 24 publications

(19 citation statements)

References 61 publications

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“…This is also in accordance with the result derived in [75] for the integrated intensity of a powder ring of a Bragg reflection hkl of a crystallite with N unit cells,…”

Section: Appendix H: Validity Tests Of the Simulation Methodssupporting

confidence: 92%

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Structural characterization of the phospholipid stabilizer layer at the solid-liquid interface of dispersed triglyceride nanocrystals with small-angle x-ray and neutron scattering

et al. 2013

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Dispersions of crystalline nanoparticles with at least one sufficiently large unit cell dimension can give rise to Bragg reflections in the small-angle scattering range. If the nanocrystals possess only a small number of unit cells along these particular crystallographic directions, the corresponding Bragg reflections will be broadened. In a previous study of phospholipid stabilized dispersions of β-tripalmitin platelets [Unruh, J. Appl. Crystallogr. 40, 1008 (2007)], the x-ray powder pattern simulation analysis (XPPSA) was developed. The XPPSA method facilitates the interpretation of the rather complicated small-angle x-ray scattering (SAXS) curves of such dispersions of nanocrystals. The XPPSA method yields the distribution function of the platelet thicknesses and facilitates a structural characterization of the phospholipid stabilizer layer at the solid-liquid interface between the nanocrystals and the dispersion medium from the shape of the broadened 001 Bragg reflection. In this contribution an improved and extended version of the XPPSA method is presented. The SAXS and small-angle neutron scattering patterns of dilute phospholipid stabilized tripalmitin dispersions can be reproduced on the basis of a consistent simulation model for the particles and their phospholipid stabilizer layer on an absolute scale. The results indicate a surprisingly flat arrangement of the phospholipid molecules in the stabilizer layer with a total thickness of only 12 Å. The stabilizer layer can be modeled by an inner shell for the fatty acid chains and an outer shell including the head groups and additional water. The experiments support a dense packing of the phospholipid molecules on the nanocrystal surfaces rather than isolated phospholipid domains.

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“…This is also in accordance with the result derived in [75] for the integrated intensity of a powder ring of a Bragg reflection hkl of a crystallite with N unit cells,…”

Section: Appendix H: Validity Tests Of the Simulation Methodssupporting

confidence: 92%

“…One can show that this fraction is proportional to cos θ . Since for smallangle scattering 2θ is below 8 • this Lorentz factor can be neglected [75]. Furthermore, for typical SAXS measurements the polarization factor is close to 1.…”

Section: E Lorentz and Polarization Correctionsmentioning

confidence: 99%

Structural characterization of the phospholipid stabilizer layer at the solid-liquid interface of dispersed triglyceride nanocrystals with small-angle x-ray and neutron scattering

et al. 2013

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“…for q the scattering vector in reciprocal space, r e the radius of the electron and V the total sample volume 65 . We Fourier transform the difference between ρ ( r ) and its volume average to remove the forward scattering peak and access any diffraction signatures that may be present at small scattering vectors.…”

Section: Methodsmentioning

confidence: 99%

Local self-uniformity in photonic networks

et al. 2017

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The interaction of a material with light is intimately related to its wavelength-scale structure. Simple connections between structure and optical response empower us with essential intuition to engineer complex optical functionalities. Here we develop local self-uniformity (LSU) as a measure of a random network's internal structural similarity, ranking networks on a continuous scale from crystalline, through glassy intermediate states, to chaotic configurations. We demonstrate that complete photonic bandgap structures possess substantial LSU and validate LSU's importance in gap formation through design of amorphous gyroid structures. Amorphous gyroid samples are fabricated via three-dimensional ceramic printing and the bandgaps experimentally verified. We explore also the wing-scale structuring in the butterfly Pseudolycaena marsyas and show that it possesses substantial amorphous gyroid character, demonstrating the subtle order achieved by evolutionary optimization and the possibility of an amorphous gyroid's self-assembly.

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“…Several other good reviews have appeared since, some dealing only with specific aspects of these systems [20][21][22][23]. Therefore, [17].…”

Section: Introductionmentioning

confidence: 99%

Cubic and Other3DThermotropic Liquid Crystal Phases and Quasicrystals

Ungar

Liu

Zeng

2014

Handbook of Liquid Crystals

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Three-dimensional periodic complex structures in soft matter: investigation using scattering methods

Cited by 24 publications

References 61 publications

Structural characterization of the phospholipid stabilizer layer at the solid-liquid interface of dispersed triglyceride nanocrystals with small-angle x-ray and neutron scattering

Structural characterization of the phospholipid stabilizer layer at the solid-liquid interface of dispersed triglyceride nanocrystals with small-angle x-ray and neutron scattering

Local self-uniformity in photonic networks

Cubic and Other3DThermotropic Liquid Crystal Phases and Quasicrystals

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