2017
DOI: 10.1039/c7sm01640a
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Determination of the local density of polydisperse nanoparticle assemblies

Abstract: Quantitative characterization of the average structure of dense nanoparticle assemblies and aggregates is a common problem in nanoscience. Small-angle scattering is a suitable technique, but it is usually limited to not too big assemblies due to the limited experimental range, low concentrations to avoid interactions, and monodispersity to keep calculations tractable. In the present paper, a straightforward analysis of the generally available scattered intensity - even for large assemblies, at high concentrati… Show more

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Cited by 24 publications
(45 citation statements)
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References 66 publications
(97 reference statements)
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“…Moreover, the intensity level in this zone can be used to extract the local density of aggregates using a correlation hole analysis developed by some of us. 11,25 The fact that the curves superimpose for both matrices show again that also these local aggregate densities are independent of the matrix type. At low q, finally, the intensities increase strongly, which is reminiscent of a large-scale filler organization.…”
Section: Resultsmentioning
confidence: 73%
See 1 more Smart Citation
“…Moreover, the intensity level in this zone can be used to extract the local density of aggregates using a correlation hole analysis developed by some of us. 11,25 The fact that the curves superimpose for both matrices show again that also these local aggregate densities are independent of the matrix type. At low q, finally, the intensities increase strongly, which is reminiscent of a large-scale filler organization.…”
Section: Resultsmentioning
confidence: 73%
“…[21][22] If one goes a step further in the description of interactions, it is possible to extract not only characteristic sizes of nanoparticles (NPs) and aggregates but also virial coefficients of interaction potentials [23][24] and local densities. 25 In a comprehensive approach of multi-scale structure, we have proposed a coherent quantitative analysis of small-angle data based on the average NP radius, the number of particles in each aggregate, aggregate size and density, and the characteristic size of large scale branches filling the sample. 11,26 Alternatively, if sufficient knowledge is available on the primary particles, e.g., if it is possible to measure them under dilute conditions in order to describe shape, polydispersity, and surface roughness quantitatively, then reverse Monte Carlo modelling may be used for a quantitative analysis of the particle and aggregate structure.…”
Section: Introductionmentioning
confidence: 99%
“…The calculations are inspired by the simulations by Genix & Oberdisse (2017). Using the Debye formula for a collection of monodisperse spheres within a larger sphere, the form factor of the complete object can be calculated.…”
Section: Appendix a Derivation Of S Clust (Q)mentioning
confidence: 99%
“…It immediately follows that one can deduce an estimate of R and of N from such measurements. Moreover, one may determine the internal density from the depth of the correlation hole [139]. For polydisperse spheres, and polydisperse aggregates, equivalent relationships can be derived.…”
Section: Small-angle Scattering Of Colloids and Aggregatesmentioning
confidence: 99%