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Piezoresistivity in PTCR Barium Titanate Ceramics: II, Mathematical Modeling
Author(s) -
Capurso Joseph S.,
Schulze Walter A.
Publication year - 1998
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1998.tb02340.x
Subject(s) - materials science , dielectric , barium titanate , grain boundary , ceramic , titanate , electric field , sintering , composite material , rectangular potential barrier , temperature coefficient , condensed matter physics , mineralogy , optoelectronics , chemistry , physics , microstructure , quantum mechanics
A modified grain boundary potential barrier model for positive temperature coefficient of resistance (PTCR) barium titanate is developed. It is based on Heywang's double Schottky barrier model, together with Devonshire's thermodynamic phenomenology of polarization behavior. Modifications are made to address the nonlinearity of the dielectric response with respect to electric field in the depletion region adjacent to the grain boundary, and the circular dependence of these quantities with the height of the barrier. Piezoresistivities are calculated for various PTCR compositions and sintering conditions, and these are compared to experimental results from the preceding paper.