Study of dielectric behavior of ternary mixtures of epoxy/titanates (MgTiO3, CaTiO3, SrTio3and BaTiO3) with carbon black

Khouni, Habib; Bouzit, Nacerdine; Jiménez, Juan Pablo Martínez; Bouamar, M.

doi:10.1051/epjap/2016160305

Cited by 12 publications

(14 citation statements)

References 16 publications

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“…According to previous studies carried out on the modified Lichtenecker law [14,15] for the multi-phase mixtures complex permittivity evaluation, the predicted values achieved with this modeling law were in good agreement with the results found experimentally. This is due to the shape factor introduced in this mixture law and correlated to the inclusions random dispersion, their shape, size and even orientation.…”

Section: Introductionsupporting

confidence: 84%

“…According to previous studies of this kind of modeling [14,15], this modified law (MLL) has been used as an efficient predictive tool to model the dielectric behavior of a mixture made of two or more phases (binary, ternary and quaternary mixtures etc. ), and acting more particularly on the complex permittivity real part.…”

Section: Theoretical Foundationsmentioning

confidence: 99%

“…This line is connected to an APC-7mm / 50 Ω probe, in which our tubular-shaped sample is placed at its input, and on the other end (termination) we place a matched load (50 Ω) to remove unwanted reflections according to the "adapted line" measurement method chosen in our study. This equipment requires, in addition to a digital acquisition system connecting to a PC, a bunch of appropriate software for both time and frequency domains processing and storage of experimental data [14,15]. Such a system is shown schematically in Figure 1.…”

Section: Experimental Apparatusmentioning

confidence: 99%

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A High Frequency Dielectric Behavior Modeling of a ReXTMnO2 Ternary Composite as an Equivalent Binary Mixture

Brahimi¹,

Bourouba²,

Jiménez³

et al. 2021

RCMA

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The goal of this paper is to study the dielectric behavior, in the ternary composites microwave domain, and simplifying ternaries models into binaries ones using time domain spectroscopy. We worked on three ternary composites made of epoxy resin (Re), manganese dioxide (MnO2) and one of three different titanates (XT): barium titanate (BT), calcium titanate (CT) or magnesium titanate (MT). These composites samples dielectric behavior is inspected over a frequency range from DC to 5 GHz. This aims to optimize the predictive modified Lichtenecker's law model (MLL) through a better smoothing shape factor making theoretical and experimental results very close to each other. The comparison between these results shows that the MLL model is pertinent for ternary mixtures (Re-XT-MnO2) with an appreciable accuracy degree. Another numerical approach applied to the Re-[Re-XT-MnO2] mixtures using a binary mixture model equivalent to the previous ternary one based on a simplified MLL expression and preserving the same mixture constituents. This model results are in good agreement not only with ternaries ones being modeled with this law but also with other modeling laws appreciated with binary composites. This study interest lies on these materials application in the telecommunications components miniaturization and in microwave electronic applications.

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Section: Introductionsupporting

confidence: 84%

Section: Theoretical Foundationsmentioning

confidence: 99%

Section: Experimental Apparatusmentioning

confidence: 99%

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A High Frequency Dielectric Behavior Modeling of a ReXTMnO2 Ternary Composite as an Equivalent Binary Mixture

Brahimi¹,

Bourouba²,

Jiménez³

et al. 2021

RCMA

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“…The best known formula of ε eff for a ternary mixture is associated with Lichtenecker or logarithmic law. Khouni et al 9 proposed a modified version of Lichtenecker’s Law (MLL) expressed as follows:…”

Section: Resultsmentioning

confidence: 99%

“…8 SrTiO 3 -based ceramics are considered promising materials for microelectronic microwave applications, due to their unique physical properties, such as high dielectric constant, low dielectric loss, and favorable electrical support stability. 9,10…”

Section: Introductionmentioning

confidence: 99%

Study of the relaxation and resonance behaviors of ternary composites: Epoxy–strontium titanate–carbon black

Khouni

Bouzit

2019

Polymers and Polymer Composites

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The principal subject of the present article is the study of the phenomenon of dispersion as well as the effect of the concentration of strontium titanate (SrTiO3) and carbon black on the complex permittivity of ternary composites: epoxy resin–SrTiO3 –black carbon. The relative permittivity of the mixtures as a function of volume fraction of SrTiO3 was modeled by the modified Lichtenecker mixing law (MLL). A new dispersion model, based on the Lorentzian resonance model, has been proposed to describe the frequency behavior of complex permittivity. For these ternary composites, the frequency dispersion behavior of the complex permittivity that exhibits both relaxation and resonance spectra with increasing SrTiO3 concentration has been showed. The new empirical equation proposed in our work has been well describing the complex permittivity of resonance type for the SrTiO3 and carbon black composites. The effects of SrTiO3 content on the electromagnetic properties and absorption characteristics of electromagnetic waves of epoxy resin composites were studied. As the volume fraction of SrTiO3 increases, it was confirmed that the complex permittivity of the composites follows the MLL and the resonant frequency shifted toward the high frequency range. The resonance frequency of the composites was estimated in good agreement with the theoretical values calculated by the second new equation proposed in this article. Complex permittivity is measured using time domain spectroscopy in the frequency range direct current (DC) to 30 GHz.

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Significantly enhanced dielectric permittivity and low loss in epoxy composites incorporating 3d W-WO3/BaTiO3 foams

et al. 2020

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Study of dielectric behavior of ternary mixtures of epoxy/titanates (MgTiO₃, CaTiO₃, SrTio₃and BaTiO₃) with carbon black

Cited by 12 publications

References 16 publications

A High Frequency Dielectric Behavior Modeling of a ReXTMnO2 Ternary Composite as an Equivalent Binary Mixture

A High Frequency Dielectric Behavior Modeling of a ReXTMnO2 Ternary Composite as an Equivalent Binary Mixture

Study of the relaxation and resonance behaviors of ternary composites: Epoxy–strontium titanate–carbon black

Significantly enhanced dielectric permittivity and low loss in epoxy composites incorporating 3d W-WO3/BaTiO3 foams

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