Quantifying nanoparticle dispersion by using the area disorder of Delaunay triangulation

David J. Bray; Steven G. Gilmour; Felicity J. Guild; Ambrose C. Taylor

doi:10.1111/j.1467-9876.2011.01009.x

Quantifying nanoparticle dispersion by using the area disorder of Delaunay triangulation

David J. Bray^*, Steven G. Gilmour, Felicity J. Guild, Ambrose C. Taylor

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

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 AD _Del, which can be further used to categorize a material sample into well or poorly dispersed. AD _Del-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.

Original language	English
Pages (from-to)	253-275
Number of pages	23
Journal	APPLIED STATISTICS
Volume	61
Issue number	2
DOIs	https://doi.org/10.1111/j.1467-9876.2011.01009.x
Publication status	Published - Mar 2012

Keywords

Composite material
Hard-core model
Image analysis
Randomness
Regularity
Small samples
Voronoi

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10.1111/j.1467-9876.2011.01009.x

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Quantifying nanoparticle dispersion by using the area disorder of Delaunay triangulation

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Keywords

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