Open AccessA Numerical Characterization of the Nanoparticles Distribution on the Surface of a Semiconductor
Author(s) -
Zdena Rudolfova,
J. Hoderova
Publication year - 2017
Publication title -
mendel ... (brno. on-line)/mendel ...
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 13
eISSN - 1803-3822
pISSN - 1803-3814
DOI - 10.13164/mendel.2017.1.125
Subject(s) - voronoi diagram , surface (topology) , characterization (materials science) , semiconductor , nanoparticle , distribution (mathematics) , materials science , nanotechnology , decomposition , work (physics) , statistical physics , biological system , computational physics , physics , mathematics , optoelectronics , geometry , chemistry , mathematical analysis , quantum mechanics , organic chemistry , biology
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.