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Impedance/Dielectric Spectroscopy of Electroceramics in the Nanograin Regime

Published online by Cambridge University Press:  11 February 2011

N. J. Kidner ,
B. J. Ingram ,
Z. J. Homrighaus ,
T. O. Mason  and
E. J. Garboczi
N. J. Kidner
Affiliation:
Department of Materials Science and Engineering and Materials Research Center, Northwestern University, Evanston, IL 60208, U.S.A.
B. J. Ingram
Affiliation:
Department of Materials Science and Engineering and Materials Research Center, Northwestern University, Evanston, IL 60208, U.S.A.
Z. J. Homrighaus
Affiliation:
Department of Materials Science and Engineering and Materials Research Center, Northwestern University, Evanston, IL 60208, U.S.A.
T. O. Mason
Affiliation:
Department of Materials Science and Engineering and Materials Research Center, Northwestern University, Evanston, IL 60208, U.S.A.
E. J. Garboczi
Affiliation:
Materials and Construction Research, Building and Fire Research Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899, U. S. A.
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Abstract

In the microcrystalline regime, the behavior of grain boundary-controlled electroceramics is well described by the “brick layer model” (BLM). In the nanocrystalline regime, however, grain boundary layers can represent a significant volume fraction of the overall microstructure and simple layer models are no longer valid. This work describes the development of a pixel-based finite-difference approach to treat a “nested cube model” (NCM), which more accurately calculates the current distribution in polycrystalline ceramics when grain core and grain boundary dimensions become comparable. Furthermore, the NCM approaches layer model behavior as the volume fraction of grain cores approaches unity (thin boundary layers) and it matches standard effective medium treatments as the volume fraction of grain cores approaches zero. Therefore, the NCM can model electroceramic behavior at all grain sizes, from nanoscale to microscale. It can also be modified to handle multi-layer grain boundaries and property gradient effects (e.g., due to space charge regions).

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 756: Symposia EE/FF – Solid-State Ionics – Materials for Fuel Cells and Fuel Processors , 2002 , EE4.6
Copyright
Copyright © Materials Research Society 2003

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