Modelling Power Law Dependencies of Frequency Dependent AC Conductivity and Permittivity of Conductor-Relaxor Composites

C R Bowen, A C E Dent, D P Almond, T P Comyn

Research output: Contribution to journalArticle

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Abstract

Porous lead magnesium niobate-lead titanate (PMN-PT 90:10) relaxors were impregnated with water to provide a model conductor-insulator mixture, to study their power law frequency dependency of ac conductivity, permittivity and phase angle. Relaxor materials with a range of open porosity filled with water created composites with conductor volume fractions ranging from 8.2% to 22.2%. The use of a high relative permittivity PMN-PT ( 8000) enabled the power law dispersion to be observed at relatively low frequencies ( 2 kHz). Good agreement was obtained between experimental data and predicted results based on a logarithmic mixing rule with a strong correlation between the power law exponent and conductor-insulator fraction. The model and numerical methods presented are considered a simple approach to interpret and predict and the frequency dependent properties of materials which similar heterogeneity.
LanguageEnglish
Pages166-175
Number of pages10
JournalFerroelectrics
Volume370
Issue number1
DOIs
StatusPublished - 2008
Event11th European Meeting on Ferroelectricity - Bled, Slovenia
Duration: 3 Sep 20077 Sep 2007

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alternating current
Permittivity
conductors
Lead
permittivity
conductivity
composite materials
Water
Composite materials
insulators
Magnesium
Volume fraction
Numerical methods
Porosity
niobates
water
magnesium
phase shift
exponents
low frequencies

Cite this

Modelling Power Law Dependencies of Frequency Dependent AC Conductivity and Permittivity of Conductor-Relaxor Composites. / Bowen, C R; Dent, A C E; Almond, D P; Comyn, T P.

In: Ferroelectrics, Vol. 370, No. 1, 2008, p. 166-175.

Research output: Contribution to journalArticle

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