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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Brno University of Technology
2017-06-01
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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.
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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 |
_version_ |
1721293017125486592 |