143102-3
Zhang et al.
Appl. Phys. Lett. 87, 143102 ͑2005͒
of the dielectric constant at low and intermediate frequen-
cies, which has been explained by the phenomenon of dipole
relaxation; while the variation in dielectric loss with fre-
quency represents the relaxation absorption of the
dielectric.17 The dielectric constant and dielectric loss were
90 and 0.04, respectively, at 100 kHz. The dielectric constant
value matches well with the values reported in the
literature.18,19
In summary, ordered BFO nanotube arrays were fabri-
cated using sol-gel synthesis within hexagonal closely
packed nanochannel alumina templates. These BFO nano-
tube arrays exhibit significant piezoelectric characteristics
and may have potential application in fabrication of magneti-
cally recorded ferroelectric memory, and lead-free piezoelec-
trics for sensors and actuators.
This work was supported by a Postdoctoral Fellow
project of the Hong Kong Polytechnic University ͑G-YX17͒.
FIG. 4. Piezoelectric hysteresis loop of a single BFO nanotube measured by
piezoresponse force microscopy.
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Figure 5 shows the dielectric constant and dielectric loss
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as a function of frequencies in the range of 1 kHz to 1 MHz.
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FIG. 5. The dielectric constant and dielectric loss curves at room tempera-
ture as a function of frequency in the range of 1 kHz to 1 MHz.