A Numerical Characterization of the Nanoparticles Distribution on the Surface of a Semiconductor

The motivation for this work was to qualitatively describe the distribution of Au nanoparticles on the surface of a semiconductor. We discuss suitable mathematical characteristics which allow the uniform distribution to be distinguished from the distribution a ected by any physical phenomenon, i.e....

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Main Authors: Zdena Rudolfova, Jana Hoderova
Format: Article
Language:English
Published: Brno University of Technology 2017-06-01
Series:Mendel
Subjects:
Online Access:https://mendel-journal.org/index.php/mendel/article/view/63
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spelling doaj-fc47d24bd42d4cbcabc26c90c5ad5f7e2021-07-21T07:38:48ZengBrno University of TechnologyMendel1803-38142571-37012017-06-0123110.13164/mendel.2017.1.12563A Numerical Characterization of the Nanoparticles Distribution on the Surface of a SemiconductorZdena RudolfovaJana Hoderova The motivation for this work was to qualitatively describe the distribution of Au nanoparticles on the surface of a semiconductor. We discuss suitable mathematical characteristics which allow the uniform distribution to be distinguished from the distribution a ected by any physical phenomenon, i.e. by the repulsive force between electrically charged particles or by the influence of properties of the surface. We identify Voronoi decomposition and a statistical analysis of Voronoi cell properties as a suitable tool for this purpose. https://mendel-journal.org/index.php/mendel/article/view/63distributionVoronoi diagramhypothesis testingLegendre ellipse4PL functionnanoparticles
collection DOAJ
language English
format Article
sources DOAJ
author Zdena Rudolfova
Jana Hoderova
spellingShingle Zdena Rudolfova
Jana Hoderova
A Numerical Characterization of the Nanoparticles Distribution on the Surface of a Semiconductor
Mendel
distribution
Voronoi diagram
hypothesis testing
Legendre ellipse
4PL function
nanoparticles
author_facet Zdena Rudolfova
Jana Hoderova
author_sort Zdena Rudolfova
title A Numerical Characterization of the Nanoparticles Distribution on the Surface of a Semiconductor
title_short A Numerical Characterization of the Nanoparticles Distribution on the Surface of a Semiconductor
title_full A Numerical Characterization of the Nanoparticles Distribution on the Surface of a Semiconductor
title_fullStr A Numerical Characterization of the Nanoparticles Distribution on the Surface of a Semiconductor
title_full_unstemmed A Numerical Characterization of the Nanoparticles Distribution on the Surface of a Semiconductor
title_sort numerical characterization of the nanoparticles distribution on the surface of a semiconductor
publisher Brno University of Technology
series Mendel
issn 1803-3814
2571-3701
publishDate 2017-06-01
description The motivation for this work was to qualitatively describe the distribution of Au nanoparticles on the surface of a semiconductor. We discuss suitable mathematical characteristics which allow the uniform distribution to be distinguished from the distribution a ected by any physical phenomenon, i.e. by the repulsive force between electrically charged particles or by the influence of properties of the surface. We identify Voronoi decomposition and a statistical analysis of Voronoi cell properties as a suitable tool for this purpose.
topic distribution
Voronoi diagram
hypothesis testing
Legendre ellipse
4PL function
nanoparticles
url https://mendel-journal.org/index.php/mendel/article/view/63
work_keys_str_mv AT zdenarudolfova anumericalcharacterizationofthenanoparticlesdistributiononthesurfaceofasemiconductor
AT janahoderova anumericalcharacterizationofthenanoparticlesdistributiononthesurfaceofasemiconductor
AT zdenarudolfova numericalcharacterizationofthenanoparticlesdistributiononthesurfaceofasemiconductor
AT janahoderova numericalcharacterizationofthenanoparticlesdistributiononthesurfaceofasemiconductor
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