Eur. Phys. J. Appl. Phys. (2016) 76: 20201
https://doi.org/10.1051/epjap/2016160305

Regular Article

Study of dielectric behavior of ternary mixtures of epoxy/titanates (MgTiO₃, CaTiO₃, SrTio₃ and BaTiO₃) with carbon black

¹ Laboratoire d’Instrumentation Scientifique (LIS), Département d’Electronique, Faculté de Technologie, Université Ferhat ABBAS Sétif 1, 19000 Sétif, Algérie
² Departamento de Física Aplicada, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
³ Laboratoire d’Analyse des Signaux et Systèmes (LASS), Département d’Electronique, Faculté de Technologie, Université de M’Sila, 28000 M’Sila, Algeria

^a e-mail: bouzitnacerdine@yahoo.fr

Received: 12 August 2016
Revised: 11 November 2016
Accepted: 14 November 2016
Published online: 8 December 2016

Abstract

The aim of this paper is to study and to model the dielectric behavior of various ternary composites prepared with epoxy resin (RE), one type of titanates (magnesium titanate MgTiO₃, calcium titanate CaTiO₃, strontium titanate SrTiO₃, and barium titanate BaTiO₃) with carbon black (CB). The study has therefore been focused on the effect of adding carbon black to titanate included in an epoxy matrix. The effects have been quantified according to the volume fraction of carbon black. In this work, we present a method based on nonlinear optimization for determining the permittivity of the every constituent, in order to minimize systematic errors and mount the effect of carbon black. The time domain reflectometry (TDR) approach is used to characterize the samples under test in the range from DC to 10 GHz. The conductivity behavior study is performed at a low frequency of 400 MHz, throughout this work. We explain the carbon black effect on the ternary mixtures by using the substitution principle for predicting their dielectric behavior. The experimental results confirm the concordance with the modified Lichtenecker mixture law. To predict the electromagnetic behavior of the ternary composites in quantitative manner, we use a numerical optimization method for identification the parameters of the theoretical model. Finally, these materials find their interest in the miniaturization of electronic components used in microelectronic and telecommunication applications.