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Multiscale Filler Structure in Simplified Industrial Nanocomposite Silica/SBR Systems Studied by SAXS and TEM

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TLDR
In this paper, the filler structure on large scales up to micrometers was studied by transmission electron microscopy (TEM) and very small-angle X-ray scattering (SAXS).
Abstract
Simplified silica (Zeosil 1165 MP) and SBR (140k carrying silanol end-groups) nanocomposites have been formulated by mixing of a reduced number of ingredients with respect to industrial applications. The thermo-mechanical history of the samples during the mixing process was monitored and adjusted to identical final temperatures. The filler structure on large scales up to micrometers was studied by transmission electron microscopy (TEM) and very small-angle X-ray scattering (SAXS). A complete quantitative model extending from the primary silica nanoparticle (of radius ≈10 nm), to nanoparticle aggregates, up to micrometer-sized branches with typical lateral dimension of 150 nm is proposed. Image analysis of the TEM-pictures yields the fraction of zones of pure polymer, which extend between the branches of a large-scale filler network. This network is compatible with a fractal of average dimension 2.4 as measured by scattering. On smaller length scales, inside the branches, small silica aggregates are presen...

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Journal ArticleDOI

Small Angle X-ray Scattering for Nanoparticle Research

TL;DR: This work provides a theoretical foundation for X-ray scattering, considering both form factor and structure factor, as well as the use of correlation functions, which may be used to determine a particle's size, size distribution, shape, and organization into hierarchical structures.
Journal ArticleDOI

Concepts and conflicts in nanoparticles reinforcement to polymers beyond hydrodynamics

TL;DR: In this article, a comprehensive survey is presented to report the cluster-cluster aggregation model, and jamming, percolation and soft colloidal dynamics theories and their applications in NPFPs in relation to nanoparticle reinforcement of polymers beyond hydrodynamics.
Journal ArticleDOI

Mechanical Reinforcement of Polymer Nanocomposites from Percolation of a Nanoparticle Network

TL;DR: In this article, the linear viscoelastic response of polymer nanocomposites can be quantitatively predicted by a parameter-free model in which the stress is a simple sum of contributions from the polymer matrix and the fractal NP structure linked by bridging polymer chains.
Journal ArticleDOI

Network dynamics in nanofilled polymers

TL;DR: The results demonstrate that the flow properties of nanocomposites are complex and can be tuned via changes in filler loading, that is, the character of polymer bridges which ‘tie' NPs together into a network.
Journal ArticleDOI

Detection of Surface-Immobilized Components and Their Role in Viscoelastic Reinforcement of Rubber–Silica Nanocomposites

TL;DR: In this article, the additive filler network contribution to the storage modulus of industrial styrene-butadiene rubber (SBR) nanocomposites filled with silica at different frequencies and temperatures was investigated.
References
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Journal ArticleDOI

Analysis of Classical Statistical Mechanics by Means of Collective Coordinates

TL;DR: In this paper, the three-dimensional classical many-body system is approximated by the use of collective coordinates, through the assumed knowledge of two-body correlation functions, and a self-consistent formulation is available for determining the correlation function.
Journal ArticleDOI

The viscosity of a concentrated suspension of spherical particles

TL;DR: In this paper, the authors extended the viscosity equation for an infinitely dilute suspension of spheres to apply to a suspension of finite concentration, and made use of a functional equation which must be satisfied if the final viscosities is independent of the sequence of stepwise additions of partial volume fractions of the spheres to the suspension.
Journal Article

A New Determination of Molecular Dimensions

Albert Einstein
- 01 Jan 1906 - 
Journal ArticleDOI

Approximations Leading to a Unified Exponential/Power-Law Approach to Small-Angle Scattering

TL;DR: In this article, a unified approach to the analysis of small-angle scattering is presented that describes scattering from complex systems that contain multiple levels of related structural features, such as the overall radius of gyration and the substructural persistence length.
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