Quantifying Nanoparticle Dispersion by Using The Area Disorder of Delaunay Triangulation

Autor:	Steven G. Gilmour, FJ Guild, Ambrose C. Taylor, David J. Bray
Rok vydání:	2012
Předmět:	Statistics and Probability Delaunay triangulation Direct method Particle Statistical dispersion Geometry Statistics Probability and Uncertainty Biological system Voronoi diagram Measure (mathematics) Point process Randomness Mathematics
Zdroj:	Journal of the Royal Statistical Society Series C: Applied Statistics. 61:253-275
ISSN:	1467-9876 0035-9254
DOI:	10.1111/j.1467-9876.2011.01009.x
Popis:	Summary 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::530d10a0fc22499abca098ef42a23a71 https://doi.org/10.1111/j.1467-9876.2011.01009.x Zobrazit plný text záznamu Plný text ve formátu PDF