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

doi:10.1080/00150190802381522

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

Department of Mechanical Engineering

University of Leeds

Research output: Contribution to journal › Article › peer-review

10 Citations (SciVal)

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.

Original language	English
Pages (from-to)	166-175
Number of pages	10
Journal	Ferroelectrics
Volume	370
Issue number	1
DOIs	https://doi.org/10.1080/00150190802381522
Publication status	Published - 2008
Event	11th European Meeting on Ferroelectricity - Bled, Slovenia Duration: 3 Sept 2007 → 7 Sept 2007

Access to Document

10.1080/00150190802381522

Cite this

@article{4e313e89d953425fb55a3ee5ccd19320,

title = "Modelling Power Law Dependencies of Frequency Dependent AC Conductivity and Permittivity of Conductor-Relaxor Composites",

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.",

author = "Bowen, \{C R\} and Dent, \{A C E\} and Almond, \{D P\} and Comyn, \{T P\}",

year = "2008",

doi = "10.1080/00150190802381522",

language = "English",

volume = "370",

pages = "166--175",

journal = "Ferroelectrics",

issn = "0015-0193",

publisher = "Taylor and Francis",

number = "1",

note = "11th European Meeting on Ferroelectricity, EMF-2007 ; Conference date: 03-09-2007 Through 07-09-2007",

}

TY - JOUR

T1 - Modelling Power Law Dependencies of Frequency Dependent AC Conductivity and Permittivity of Conductor-Relaxor Composites

AU - Bowen, C R

AU - Dent, A C E

AU - Almond, D P

AU - Comyn, T P

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/75449113028

UR - http://dx.doi.org/10.1080/00150190802381522

U2 - 10.1080/00150190802381522

DO - 10.1080/00150190802381522

M3 - Article

SN - 0015-0193

VL - 370

SP - 166

EP - 175

JO - Ferroelectrics

JF - Ferroelectrics

IS - 1

T2 - 11th European Meeting on Ferroelectricity

Y2 - 3 September 2007 through 7 September 2007

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this