Small angle scattering of partially oriented polymers: model calculations with monoclinic macrolattice

Fronk, W.; Wilke, W.

doi:10.1007/bf01412783

Cited by 43 publications

(50 citation statements)

References 5 publications

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“…Thus the shift from a lamellar toward a microfibrillar system does not end in random placement of microfibrils. Instead, a preferential distance among them is established in the lateral direction as well ("macrolattice" of Fronk and Wilke [39,40] ). Up to this point in the above-mentioned "shear-zone", the nanostructure is a unimodal system.…”

Section: Cdfs-from Surface To Corementioning

confidence: 99%

Volume‐Resolved Nanostructure Survey of a Polymer Part by Means of SAXS Microtomography

Stribeck

Camarillo

Nöchel

et al. 2006

Macro Chemistry & Physics

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Summary: Small-angle X-ray scattering (SAXS) microtomography (micro-CT) resolves structure variation in an anisotropic polyethylene (PE) gradient material with fiber symmetry. 4 900 reconstructed SAXS patterns describe the nanostructure as a function of volume element position in the scanned fiber cross-section. Reconstruction errors were observed. Their first-order effect was eliminated by transformation of the SAXS into a multidimensional chord distribution function (CDF). Its analysis shows oriented lamellae stacks in a shell layer and extended chains in the central core of the fiber. We document zones of uni-and bimodal structure, variation of long periods, stack heights, and lateral domain extension.Original SAXS patterns (pseudocolor and 3D plot) from different voxels obtained by micro-CT reconstruction from measured SAXS projection patterns of a PE rod.

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Section: Cdfs-from Surface To Corementioning

confidence: 99%

Volume‐Resolved Nanostructure Survey of a Polymer Part by Means of SAXS Microtomography

Stribeck

Camarillo

Nöchel

et al. 2006

Macro Chemistry & Physics

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“…Instead, the cylinders form a cluster with 3D short-range correlation. Such structural entities have been called a macrolattice by Wilke [61,62]. The discussed peaks carry positive sign, because they describe chords that reach from the front face of a cylinder to the back face of a neighboring domain.…”

Section: Example Of a Cdf Analysismentioning

confidence: 99%

Scattering of Soft Condensed Matter: From Fundaments to Application

Stribeck¹

2009

Applications of Synchrotron Light to Scattering and Diffraction in Materials and Life Sciences

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Scattering data recorded in experiments on soft condensed matter are resulting in continuous scattering patterns which must be processed for structure analysis. The review presents scattering theory as a tool box with examples that show how to use it in practice. For some of the operations commented source code for computer programming is given. The focus is on the application to polymer and related materials.

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“…5). The scattering intensity (relative units) is given by [F(b)[ 2 is the scattering factor of a single crystallite and can be approximated by (Fronk & Wilke, 1985) [ F(b,b3)[ 2 = exp(-zrH2b~)exp(-7rD2b~).…”

Section: Theorymentioning

confidence: 99%

Investigation of the superstructure of polymers during deformation by synchrotron radiation

Wilke¹,

Bratrich²

1991

J Appl Cryst

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Firstly a short review of some frequently used models for fibre structures is given. Then a model, based on a three-dimensional monoclinic paracrystalline macrolattice is described. This model allows the calculation of the two-dimensional intensity distribution for the small-angle scattering from semicrystalline polymers with different orientational states. The parameters of the model result from comparison with the measured intensity. The method of analysis is applied to low-density polyethylene deformed uniaxially at different temperatures. The use of synchrotron radiation makes it possible to follow the destruction and rebuilding of the superstructure. A reversible change of the superstructure during stretching and relaxing was found for different draw ratios for very high-molecular-weight polyethylene samples.

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Small angle scattering of partially oriented polymers: model calculations with monoclinic macrolattice

Cited by 43 publications

References 5 publications

Volume‐Resolved Nanostructure Survey of a Polymer Part by Means of SAXS Microtomography

Volume‐Resolved Nanostructure Survey of a Polymer Part by Means of SAXS Microtomography

Scattering of Soft Condensed Matter: From Fundaments to Application

Investigation of the superstructure of polymers during deformation by synchrotron radiation

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