Curves of thermal expansion parallel and perpendicular to the polar axis are shown for poled barium titanate and lead titanate zirconate ceramics. Anistropy is remarkably higher in the latter due to greater alignment by 90° switching during poling. The anisotropy disappears after heating through the Curie point, and is also virtually eliminated within a given temperature range below the Curie point after exposure to a temperature only slightly above this range. The contraction in the polar direction upon first heating is due largely to a decrease in the alignment of domains originally reoriented by 90° during poling. The reversible expansion on repeated heating is due to a combination of domain anisotropy and a reversible increase in nonpolar alignment during heating. The pyroelectric effect is also greatly reduced in subsequent heating, although piezoelectric constants are reduced only slightly. The pyroelectric effect is found to be largely primary in both barium titanate and lead titanate zirconate ceramics. The increase in nonpolar 90° domain alignment on second heating of the lead titanate zirconate causes the primary and secondary pyroelectricity to be of opposite sign near room temperature.

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The anomalous charges flow only in temperature ranges in which the volume resistivity drops below ∼109 Ω cm. The Nb5+ addition causes an increase in volume resistivity at elevated temperatures by about three orders of magnitude, and the drop to ∼109 Ω cm occurs above the Curie point18.
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The factor 0.37 represents the portion of the single‐crystal distortion that can occur in an initially randomly oriented ceramic when perfectly aligned20.
20.
F. Rosenthal, Clevite Research Center, 1957 (unpublished).
21.
A random unpoled specimen should have the ratio 0.333 if the intensity change due to atom displacement is neglected. The calculated structure factors for BaTiO322 yield a ratio differing from 13 by less than 0.2%. While the atom displacement is larger in lead titanate zirconate23,24, the change of intensity ratio versus temperature should still be within measurement accuracy. The measured ratio was 0.327±0.007 before poling, and 0.583 shortly after poling.
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W. G. Cady, Piezoelectricity (McGraw‐Hill Book Company, Inc., New York, 1946).
26.
Using matrix rather than tensor notation, i.e., S11 = S1,S22 = S2, etc.
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D. Berlincourt (to be published).
29.
Since the poling method used, as described in reference 13, consists of exposure to an elevated temperature, positive α3 near room temperature is to be expected.
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