We present an alternate version of the undergraduate laboratory experiment developed by Dixon [Am. J. Phys. 75, 1038–1045 (2007)] that is suitable for second-year students. We study the temperature variation of the capacitance of a ferroelectric ceramic derived from barium titanate, the solid solution. The ratio of tin to titanium is chosen to provide a convenient Curie temperature near . Using careful temperature control and real-time capacitance measurements, we track the time evolution of the capacitance in response to temperature changes at for runs that last up to a day. At temperatures well above the Curie temperature, , the capacitance relaxation is well-described by a single exponential decay. Near , the relaxation is linear in the logarithm of time over more than three decades. For , the permittivity deviates from the Curie–Weiss law and follows another phenomenological form commonly used to describe relaxor perovskite-ceramic capacitors.
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November 2007
APPARATUS AND DEMONSTRATION NOTES|
November 01 2007
Temperature dependence of the capacitance of a ferroelectric material
John Bechhoefer;
John Bechhoefer
a)
Department of Physics,
Simon Fraser University
, Burnaby, British Columbia, V5A 1S6, Canada
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Yi Deng;
Yi Deng
Department of Physics,
Simon Fraser University
, Burnaby, British Columbia, V5A 1S6, Canada
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Joel Zylberberg;
Joel Zylberberg
Department of Physics and Department of Chemistry,
Simon Fraser University
, Burnaby, British Columbia, V5A 1S6, Canada
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Chao Lei;
Chao Lei
Department of Chemistry,
Simon Fraser University
, Burnaby, British Columbia, V5A 1S6, Canada
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Zuo-Guang Ye
Zuo-Guang Ye
Department of Chemistry,
Simon Fraser University
, Burnaby, British Columbia, V5A 1S6, Canada
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a)
Author to whom correspondence should be addressed. Electronic mail: johnb@sfu.ca
Am. J. Phys. 75, 1046–1053 (2007)
Article history
Received:
September 12 2006
Accepted:
March 16 2007
Connected Content
A companion article has been published:
The bug: A temperature-controlled experiment on a protoboard
Citation
John Bechhoefer, Yi Deng, Joel Zylberberg, Chao Lei, Zuo-Guang Ye; Temperature dependence of the capacitance of a ferroelectric material. Am. J. Phys. 1 November 2007; 75 (11): 1046–1053. https://doi.org/10.1119/1.2723801
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