Quantifying nanoparticle dispersion: application of the Delaunay network for objective analysis of sample micrographs

Abstract

Measuring quantitatively the nanoparticle dispersion of a composite material requires more than choosing a particular parameter and determining its correspondence to good and bad dispersion. It additionally requires anticipation of the measure's behaviour towards imperfect experimental data, such as that which can be obtained from a limited number of samples. It should be recognised that different samples from a common parent population can give statistically different responses due to sample variation alone and a measure of the likelihood of this occurring allows a decision on the dispersion to be made. It is also important to factor into the analysis the quality of the data in the micrograph with it: (a) being incomplete because some of the particles present in the micrograph are indistinguishable or go unseen; (b) including additional responses which are false. With the use of our preferred method, this paper investigates the effects on the measured dispersion quality of nanoparticles of the micrograph's magnification settings, the role of the fraction of nanoparticles visible and the number of micrographs used. It is demonstrated that the best choice of magnification, which gives the clearest indication of dispersion type, is dependent on the type of nanoparticle structure present. Furthermore it is found that the measured

The Use of Nanoparticulates to Treat Breast Cancer

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Effects of an Alternating Magnetic Field towards Dispersion of α-Fe2O3/TiO2 Magnetic Filler in PPOdm Polymer for CO2/CH4 Gas Separation

“…According to Bray and his team [ 15 , 16 , 17 ], fluctuations in the particle distribution between samples of a developed hard-core model displayed a Gaussian-distributed pattern in the AD Del results. If |Z| > 1.96, the null hypothesis is rejected at the 5% significance level.…”

“…Additionally, researchers commonly characterize the distribution of fillers qualitatively (e.g., SEM, XRD, TEM, AFM), and that is inadequate to provide in-depth details about the distribution of fillers. A quantitative dispersion analysis of the MMM should be conducted to aid in the study of the filler distribution via Delaunay’s Triangulation, a robust dispersion analysis method developed by Bray and his colleagues [ 15 , 16 , 17 ]. To the best of the authors’ knowledge, these MMM combinations and magnetic field direction applications have not been attempted to date.…”

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