Clausius–Mossotti relation fractal modification

Mitić, Vojislav V.; Paunović, Vesna; Lazović, Goran; Kocić, Ljubiša; Vlahović, Branislav

doi:10.1080/00150193.2018.1528926

Cited by 11 publications

(15 citation statements)

References 5 publications

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“…In our previous research [8,9,10] we have already developed and defined the complex fractal correction which includes the influence of grain-and-pore surfaces and also Brownian motion on particles that was already applied to intergranular capacity and dielectric and ferroelectric properties through the Curie-Weiss law and the Clausius-Mossotti equation [11].…”

Section: Fig 2 Principle Scheme Of Oxygen Processesmentioning

confidence: 99%

Butler-Volmer current equation and fractal nature correction in electrochemical energy

et al. 2021

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The Global Energy Crisis necessitated improving research into new, renewable and alternative energy sources. Due to that, our focus is on the area of some phenomena and applications where different synthetic methods and microstructure property optimization achieved significant improvement in the electro physical properties of output materials and components. This is especially important for higher energy efficiency and electricity production (batteries and battery systems, fuel cells, and hydrogen energy).The improvement of energy storage tank capacity is one of the most important development issues in the energy sphere too. It?s because of this very promising research and application area that we are expanding the knowledge on these phenomena through fractal nature analysis. So, the results obtained in the field of electrochemical energy sources, especially in electrolyte development, are taken into account the analysis of fractal nature optimization. Based on the research field of fractal material science, particularly electronic materials, we conducted research in microstructure fractal influence in the area of electrochemistry. We investigated the consolidation parameters of Fe2O3 redox processes. The influence of activation energy, fundamental thermodynamic parameters, and also the fractal correction of electrode surface area through complex fractal dimension with recognized grains and pores, and the Brownian motion of particles is introduced. Finally, the electrochemical Butler-Volmer equation fractalization is obtained. These results practically open new frontiers in electrochemical energy processes performed through the Arrhenius equation within electrolyte bulk and electrode relations and more complete and precise energy generation.

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Section: Fig 2 Principle Scheme Of Oxygen Processesmentioning

confidence: 99%

Butler-Volmer current equation and fractal nature correction in electrochemical energy

et al. 2021

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“…We have successfully reconstructed the grain shape and presented it in Figure 1. For further analysis and discussions about the influence of fractal correction on dielectric constant in Curie-Weiss law and capacitance, we obtained Hausdorf fractal dimension DH ( Figure 2) and fractal correction αs based on grain surface influence [22,23]. Figure 2 shows the dependence of number of boxes, N, that cover the surface, on a box of size h. This dependence is shown on a logarithmic scale.…”

Section: Fractal Analysismentioning

confidence: 99%

“…As for the grain surface influence, we also obtained pore Hausdorf fractal dimension D H and corresponding fractal correction α p based on pore shape influence [22,23]. Figure 4 shows contour length (L) dependence on ruler size (r) on a logarithmic scale.…”

Section: Fractal Analysismentioning

confidence: 99%

“…Here in this part, we applied fractal corrections α s (grain surface) and α p (inside pore surface) to Curie-Weiss law, introduced in References [22,23].…”

Section: Dielectric Constant Fractal Correctionmentioning

confidence: 99%

“…α represents fractal correction induced by grain surface, inside pore surface and particles' Brownian motion, respectively. Fractal correction based on Brownian motion of particles, αM, is not included in this analysis because of its minor influence (in comparison to αS and αP) and to provide less complicated further analysis.Here in this part, we applied fractal corrections αs (grain surface) and αp (inside pore surface) to Curie-Weiss law, introduced in References[22,23].…”

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confidence: 99%

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The Nano-Scale Modified BaTiO3 Morphology Influence on Electronic Properties and Ceramics Fractal Nature Frontiers

Mitić

Lazović

et al. 2020

Applied Sciences

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The BaTiO3 ceramics applications based on electronic properties have very high gradient scientific and industrial-technological interests. Our scientific research has been based on nano BaTiO3 modified with Yttrium based organometallic salt (MOD-Y). The samples have been consolidated at a sintering temperature of 1350 °C. Within the study, the new frontiers for different electronic properties between the layers of BaTiO3 grains have been introduced. The research target was grain boundary investigations and the influence on dielectric properties. After scanning electron microscopy and dielectric measurements, it has been established that modified BaTiO3 samples with larger grains showed a better compact state that led to a higher dielectric constant value. DC bias stability was also investigated and showed a connection between the grain size and capacitance stability. Analyses of functions that could approximate experimental curves were successfully employed. Practical application of fractal corrections was performed, based on surface (αs) and pore size (αp) corrections, which resulted in obtainment of the relation between the capacitance and Curie temperature. Successful introduction of fractal corrections for capacitance-Curie temperature dependence for a set of experimental data is an important step towards further miniaturization of intergranular capacitors.

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Electromagnetic wave absorbing performances with Fe2O3 nanotubes/reduced graphene oxide composite sponge

Guo

Zhan

Qiu

2020

J Mater Sci: Mater Electron

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Clausius–Mossotti relation fractal modification

Cited by 11 publications

References 5 publications

Butler-Volmer current equation and fractal nature correction in electrochemical energy

Butler-Volmer current equation and fractal nature correction in electrochemical energy

The Nano-Scale Modified BaTiO3 Morphology Influence on Electronic Properties and Ceramics Fractal Nature Frontiers

Electromagnetic wave absorbing performances with Fe2O3 nanotubes/reduced graphene oxide composite sponge

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