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In this study, in order to establish grain shapes of sintered ceramics, new  approach on correlation between microstructure and doped BaTiO3 -ceramics  properties based, on Voronoi model and mathematical statistics calculations  on fractal geometry, has been developed. BaTiO3-ceramics doped with Yb2O3  (from 0.1 to 1.0wt% of Yb) were prepared by using conventional solid state  procedure and were sintered from 1320°C to 1380°C for four hours. The  microstructure of sintered specimens was investigated by Scanning electron  microscope JEOL-SEM-5300. For better and deeper characterization and  understanding of the ceramics material microstructure, the methods which  include the fractal nature structure, and also Voronoi model and mathematical  statistics calculations, are applied. In our research the Voronoi is one  specific interface between fractal structure nature and different  stochastically contact surfaces, defined by statistical mathematical methods.  Also, the Voronoi model practically provided possibility to control the  ceramics microstructure fractal nature. Mathematical statistic methods  enabled establishing the real model for the prognosis based on correlation:  synthesis-structures-properties. [Projekat Ministarstva nauke Republike  Srbije, br. 172057 i br. III44006

Electronic ceramic structure within the Voronoi cells model and microstructure fractals contacts surfaces new frontier applications