Bray, David, Gilmour, Steven G., Guild, Felicity J. and Taylor, Ambrose C.
Quantifying nanoparticle dispersion using the area disorder of Delaunay triangulation.
Journal of the Royal Statistical Society: Series C (Applied Statistics), 61, (2), . (doi:10.1111/j.1467-9876.2011.01009.x).
Characterizing the quality of dispersion of nanocomposites presents a challenging statistical problem for which no direct method has been fully adopted. A high precision, statistically well-grounded measure is required which is suitable for dealing with a single small non-homogeneous particle pattern obtained from the material. Our approach uses the Delaunay network of particles to measure the area disorder ADDel, which can be further used to categorize a material sample into well or poorly dispersed. ADDel-analysis is applied to several micrographs of nanoparticle-modified materials and found to classify the type of dispersion reliably. Selected spatial point processes are employed to estimate expected imprecision in observed measurements.
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