MATERIALS SCIENCE AND ENERGY FRACTAL NATURE NEW FRONTIERS
DOI:
https://doi.org/10.7251/COMEN1502193MAbstract
The modern material science faces very important priorities of the future new frontiers which open new directions within higher and deeper structure knowledge even down to nano and due to the lack of energy, towards new and alternative energy sources. For example, in our up to date research we have recognized that BaTiO3 and other ceramics have fractal configuration nature based on three different phenomena. First, ceramic grains have fractal shape looking as a contour in cross section or as a surface. Second, there is the so-called “negative space” made of pores and inter-granular space. Being extremely complex, the pore space plays an important role in microelectronics, micro-capacity, PTC, piezoelectric and other phenomena. Third, there is a Brownian process of fractal motions inside the material during and after sintering in the form of micro-particles flow: ions, atoms and electrons. Here we met an exciting task of the Coble model, with already extended and generalized geometries. These triple factors, in combination, make the microelectronic environment of very peculiar electro-static/dynamic combination. The stress is here set on inter-granular micro-capacity and super micro-capacitors in function of higher energy harvesting and energy storage. An attention is paid to components affecting overall impedances distribution. Constructive fractal theory allows recognizing micro-capacitors with fractal electrodes. The method is based on the iterative process of interpolation which is compatible with the model of grains itself. Inter-granular permeability is taken as a function of temperature as fundamental thermodynamic parameter.References
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Lj. M. Kocić, V. V. Mitić, M. M. Ristić, Stereological Models Simulation of BaTiO3-Ceramics Grains, J. Materials Synthesis and Processing, Vol. 6−5 (1998) 339−344.
B. Mandelbrot, The Fractal Geometry of Nature (3ed.), W. H. Freeman, San Francisco 1983.
B. Mandelbrot, Les objets fractals, forme, hasard et dimension, Flammarion, Paris 1975.
M. Barnsley, Fractals Everywhere, Aca-demic Press, 1988.
B. H. Kaye, A Random Walk Through Fractal Dimensions, Wiley-VCH 1994.
A. Naman, Mechanical Property and Fractal Dimension Determination in Li2O*2SiO2 Glass-ceramics, University of Florida, 1994.
N. M. Brown, The Fractal Dances of Nature, Penn State News, November 19, 2014.
V. V. Mitić, Lj. M. Kocić, M. M. Ristić, The Interrelations between Fractal and Electrical Properties of BaTiO3-Ceramics, The American Ceramic Society 99th An¬nual Meeting and Exposition, Cincinnati, Ohio 1997, 199.
V. V. Mitić, Lj. M. Kocić, M. Miljković, I. Petković, Fractals and BaTiO3-Ceramic Microstructure Analysis, Mikrochim. Acta, Suppl. 15 (1998) 365−369.
B. M. Smirnov, Physics of fractal clus-ters, Contemporary problems in Physics, Nauka, Moscow 1991.
V. V. Mitić, Lj. M. Kocić, Z. I. Mitrović, M. M. Ristić, BaTiO3-Ceramics Microstructure Controlled Using Fractal Methods, Abstract Book of 100th Annual Meeting and Exposition of the American Ceramic Society, May 3-6, 1998, 190.
P. Petković, V. V. Mitić, Lj. Kocić, Contribution to BaTiO3-Ceramics Structure Ana-lysis by Using Fractals, Folia Anatomica, Vol. 26−1 (1998) 67−69.
V. V. Mitić, Lj. M. Kocić, I. Z. Mitrović, M. M. Ristić, Shapes and Grains Structures Stochastic Modelling in Ceramics, Proc. of S4G - International Conference on Stereology, Spatial Statistics and Stochastic Geometry, Prague 1999, 209−215.
V. V. Mitić, Lj. Kocić, Z. I. Mitrović, Application of fractals in the model of intergranular impedance of BaTiO3 ceramic materials, Triade Synthesis-Structure-Properties-Basis of the new material technologies, Book of Abstracts, Belgrade 1999, 65−66.
V. V. Mitić, Lj. Kocić, Z. I. Mitrović, Fractals and BaTiO3-Ceramics Intergranular Impedance, Gordon Research Conference: Ceramics, Solid State Studies in, Kimball Union Academy, Meriden, New Hampshire, 1999, 54.
V. V. Mitić, V. Paunović, J. Purenović, S. Janković, L. Kočić, I. Antolović, and D. Rančić, The Contribution of Fractal Nature to BaTiO3-Ceramics Microstructure Analysis, Ceramics International, Vol. 38−2 (2012) 1295−1301.
V. V. Mitić, V. Paunović, J. Purenović, Lj. Kocić, V. Pavlović, Processing parameters influence on BaTiO3-ceramics fractal microstructure and dielectric characteristics, Advances in Applied Ceramics: Structural, Functional and Bioceramics, Vol 111−5&6 (2012) 360−366.
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V. V. Mitić, V. Paunović, S. Janković, V. Pavlović, I. Antolović, D. Rančić, Electronic ceramic structure within the Voronoi cells model and microstructure fractals contacts surfaces new frontier applications, Science of Sintering, Vol. 45−2 (2013) 223−232.
V. V. Mitic, V. Paunovic, Lj. Kočić, S. Janković, V. Pavlović, Microelectronics iniaturization and fractal electronic frontiers, The Serbian Ceramic Society Conference „Advanced Ceramics and Application II“, SASA, Belgrade, Serbia 2013, 15 (Invited).
V. V. Mitić, V. Paunović, Lj. Kocić, Dielectric Properties of BaTiO3 Ceramics and Curie-Weiss and Modified Curie-Weiss Affected by Fractal Morphology, in: Advanced Processing and Manufacturing Technologies for Nanostructured and Multifunctional Materials (T. Ohji, M. Singh and S. Mathur eds.), Ceramic Engi¬neering and Science Proceedings, Vol. 35−6 (2014) 123−133.
V. V. Mitić, V. Paunović, Lj. Kocić, Dielectric Properties Of Batio3 Ceramics And Curie Weiss And Modified Curie-Weiss Affected By Fractal Morphology, in: Advanced Processing and Manyfacturing Technologies for Nanostructured and Multifunctional Materials (T. Ohji, M. Singh and S. Mathur eds.), Ceramic Engineering and Science Proceedings, Vol. 35−6, 2014, 123−133.
V.V. Mitić, V. Paunović, Lj. Kocić, S. Janković, V. Litovski, BaTiO3-Ceramics Micro-struc¬tures New Fractal Frontiers, 13th Ceramics Congress, CIMTEC 2014, Montecatini, Italy 2014, CJ-1.L14 .
V. V.Mitić, V. Paunović, Lj. Kocić, Fractal Approach to BaTiO3-Ceramics Micro-Impedances, Cer. Int., Vol. 41−5 (2015) 6566–6574
V. Paunović, M. Marjanović, M. Đorđević, V. V. Mitić, Lj. Kocić, Electrical Characteristics of Nb Doped BaTiO3 Ceramics, Proceedings of the III Advanced Ceramics and Applications Conference, Belgrade (Serbia) 2014, Atlantis Press 2016, 143−158.
D. Petković, V. V. Mitić, Lj. Kocić, Adaptive Neuro-Fuzzy Optimization of Wind Farm Project Investment Under Wake Effect, Pro-ceedings of the III Advanced Ceramics and Applications Conference, Belgrade (Serbia) 2014, Atlantis Press 2016, 265−282.
V. V. Mitić, D. Petković, Lj. Kocić, TRIZ Creativity Approach to the Design of an Innovative Wind Turbine System, Proceedings of the III Advanced Ceramics and Applications Conference, Belgrade (Serbia) 2014, Atlantis Press 2016, 283−306.
F. Bastić, D. Sirmić, V. V. Mitić, Lj. Kocić, V. Paunović, S. Janković, M. Miljković, The Sintering Temperature and the Ho2O3 Concentration Influence on BaTiO3 - Ceramics Microstructure Fractal Nature, Proceedings of the III Advanced Ceramics and Applications Conference, Belgrade (Serbia) 2014, Atlantis Press 2016, 307−320.
L. E. Geguzin, N. I. Ovčarenko, Surface energy and processes on the surface of the solid state, Uspehi F. N., Vol. 76−2 (1962) 283−324.
Ya. I. Frenkel’, On the surface crawling particles in crystals and the natural roughness of natural faces, JETP 16 (1), 1948.
Lj. M. Kocić, V. V. Mitić, M. M. Ristić, Stereological Models Simulation of BaTiO3-Ceramics Grains, J. Materials Synthesis and Processing, Vol. 6−5 (1998) 339−344.
B. Mandelbrot, The Fractal Geometry of Nature (3ed.), W. H. Freeman, San Francisco 1983.
B. Mandelbrot, Les objets fractals, forme, hasard et dimension, Flammarion, Paris 1975.
M. Barnsley, Fractals Everywhere, Aca-demic Press, 1988.
B. H. Kaye, A Random Walk Through Fractal Dimensions, Wiley-VCH 1994.
A. Naman, Mechanical Property and Fractal Dimension Determination in Li2O*2SiO2 Glass-ceramics, University of Florida, 1994.
N. M. Brown, The Fractal Dances of Nature, Penn State News, November 19, 2014.
V. V. Mitić, Lj. M. Kocić, M. M. Ristić, The Interrelations between Fractal and Electrical Properties of BaTiO3-Ceramics, The American Ceramic Society 99th An¬nual Meeting and Exposition, Cincinnati, Ohio 1997, 199.
V. V. Mitić, Lj. M. Kocić, M. Miljković, I. Petković, Fractals and BaTiO3-Ceramic Microstructure Analysis, Mikrochim. Acta, Suppl. 15 (1998) 365−369.
B. M. Smirnov, Physics of fractal clus-ters, Contemporary problems in Physics, Nauka, Moscow 1991.
V. V. Mitić, Lj. M. Kocić, Z. I. Mitrović, M. M. Ristić, BaTiO3-Ceramics Microstructure Controlled Using Fractal Methods, Abstract Book of 100th Annual Meeting and Exposition of the American Ceramic Society, May 3-6, 1998, 190.
P. Petković, V. V. Mitić, Lj. Kocić, Contribution to BaTiO3-Ceramics Structure Ana-lysis by Using Fractals, Folia Anatomica, Vol. 26−1 (1998) 67−69.
V. V. Mitić, Lj. M. Kocić, I. Z. Mitrović, M. M. Ristić, Shapes and Grains Structures Stochastic Modelling in Ceramics, Proc. of S4G - International Conference on Stereology, Spatial Statistics and Stochastic Geometry, Prague 1999, 209−215.
V. V. Mitić, Lj. Kocić, Z. I. Mitrović, Application of fractals in the model of intergranular impedance of BaTiO3 ceramic materials, Triade Synthesis-Structure-Properties-Basis of the new material technologies, Book of Abstracts, Belgrade 1999, 65−66.
V. V. Mitić, Lj. Kocić, Z. I. Mitrović, Fractals and BaTiO3-Ceramics Intergranular Impedance, Gordon Research Conference: Ceramics, Solid State Studies in, Kimball Union Academy, Meriden, New Hampshire, 1999, 54.
V. V. Mitić, V. Paunović, J. Purenović, S. Janković, L. Kočić, I. Antolović, and D. Rančić, The Contribution of Fractal Nature to BaTiO3-Ceramics Microstructure Analysis, Ceramics International, Vol. 38−2 (2012) 1295−1301.
V. V. Mitić, V. Paunović, J. Purenović, Lj. Kocić, V. Pavlović, Processing parameters influence on BaTiO3-ceramics fractal microstructure and dielectric characteristics, Advances in Applied Ceramics: Structural, Functional and Bioceramics, Vol 111−5&6 (2012) 360−366.
V. Paunović, V. V. Mitić, M. Miljković, Lj. Živković, Ho2O3 Additive Effects on BaTiO3 Ceramics Microstructure and Dielec-tric Properties, Science of Sintering, Vol. 44−2 (2012) 223−233.
V. V. Mitić, V. Paunović, S. Janković, V. Pavlović, I. Antolović, D. Rančić, Electronic ceramic structure within the Voronoi cells model and microstructure fractals contacts surfaces new frontier applications, Science of Sintering, Vol. 45−2 (2013) 223−232.
V. V. Mitic, V. Paunovic, Lj. Kočić, S. Janković, V. Pavlović, Microelectronics iniaturization and fractal electronic frontiers, The Serbian Ceramic Society Conference „Advanced Ceramics and Application II“, SASA, Belgrade, Serbia 2013, 15 (Invited).
V. V. Mitić, V. Paunović, Lj. Kocić, Dielectric Properties of BaTiO3 Ceramics and Curie-Weiss and Modified Curie-Weiss Affected by Fractal Morphology, in: Advanced Processing and Manufacturing Technologies for Nanostructured and Multifunctional Materials (T. Ohji, M. Singh and S. Mathur eds.), Ceramic Engi¬neering and Science Proceedings, Vol. 35−6 (2014) 123−133.
V. V. Mitić, V. Paunović, Lj. Kocić, Dielectric Properties Of Batio3 Ceramics And Curie Weiss And Modified Curie-Weiss Affected By Fractal Morphology, in: Advanced Processing and Manyfacturing Technologies for Nanostructured and Multifunctional Materials (T. Ohji, M. Singh and S. Mathur eds.), Ceramic Engineering and Science Proceedings, Vol. 35−6, 2014, 123−133.
V.V. Mitić, V. Paunović, Lj. Kocić, S. Janković, V. Litovski, BaTiO3-Ceramics Micro-struc¬tures New Fractal Frontiers, 13th Ceramics Congress, CIMTEC 2014, Montecatini, Italy 2014, CJ-1.L14 .
V. V.Mitić, V. Paunović, Lj. Kocić, Fractal Approach to BaTiO3-Ceramics Micro-Impedances, Cer. Int., Vol. 41−5 (2015) 6566–6574
V. Paunović, M. Marjanović, M. Đorđević, V. V. Mitić, Lj. Kocić, Electrical Characteristics of Nb Doped BaTiO3 Ceramics, Proceedings of the III Advanced Ceramics and Applications Conference, Belgrade (Serbia) 2014, Atlantis Press 2016, 143−158.
D. Petković, V. V. Mitić, Lj. Kocić, Adaptive Neuro-Fuzzy Optimization of Wind Farm Project Investment Under Wake Effect, Pro-ceedings of the III Advanced Ceramics and Applications Conference, Belgrade (Serbia) 2014, Atlantis Press 2016, 265−282.
V. V. Mitić, D. Petković, Lj. Kocić, TRIZ Creativity Approach to the Design of an Innovative Wind Turbine System, Proceedings of the III Advanced Ceramics and Applications Conference, Belgrade (Serbia) 2014, Atlantis Press 2016, 283−306.
F. Bastić, D. Sirmić, V. V. Mitić, Lj. Kocić, V. Paunović, S. Janković, M. Miljković, The Sintering Temperature and the Ho2O3 Concentration Influence on BaTiO3 - Ceramics Microstructure Fractal Nature, Proceedings of the III Advanced Ceramics and Applications Conference, Belgrade (Serbia) 2014, Atlantis Press 2016, 307−320.
L. E. Geguzin, N. I. Ovčarenko, Surface energy and processes on the surface of the solid state, Uspehi F. N., Vol. 76−2 (1962) 283−324.
Ya. I. Frenkel’, On the surface crawling particles in crystals and the natural roughness of natural faces, JETP 16 (1), 1948.
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