IEEE TRANSACTIONS ON ULTRASONICS, FERROELECTRICS, AND FREQUENCY CONTROL, . 58, . 9, SEPTEMBER 2011 1874
0885–3010/$25.00
©
2011 IEEE
Electric-Field and Stress Effects on Depoling
and Overpoling Phenomena in [001]-Poled
Transverse Mode Pb(Zn
1/3
Nb
2/3
)O
3
-
(6–7)%PbTiO
3
Single Crystal of
[110] Length Cut
Rahul Shukla, Leong-Chew Lim, and Prasanna Gandhi
Abstract—Solid-solution Pb(Zn
1/3
Nb
2/3
)O
3
-PbTiO
3
(PZN-
PT) single crystals, touted as next-generation piezoelectric
materials, have been studied extensively in the past decade.
This work addresses the advantages and limitations of trans-
ducers made of transverse mode PZN-(6–7)%PT single crys-
tals of [110]
L
× [001]
T
(P) cut. This cut exhibits superior elec-
tromechanical properties, with k
31
≈ 0.85 and d
31
≈
-1450 pC/N, and an extremely high d s
E
31
11
/
value of >35 C/
m
2
. It also has relatively high overpoling, i.e., rhombohedral-
to-tetragonal phase transformation, field of ≈2 kV/mm. This
overpoling field further decreases with increase in axial com-
pressive stress. Despite these good attributes, this crystal cut
has a low depoling field of ≤ 0.3 kV/mm, a result of low coer-
cive fields of [001]-poled relaxor-based single crystals, which
decreases further with increasing axial compressive stress, lim-
iting its bipolar drive capability. The axial compressive stress
required to cause overpoling via rhombohedral-to-tetragonal
phase transformation of relevant domain variants in the crystal
is found to be >90 MPa. In contrast, this crystal cut depolar-
izes at comparatively low axial tensile stress of ≈15 MPa, the
magnitude of which is not significantly affected by the moder-
ate forward field applied.
I. I
R
ferroelectric single crystals, notably
Pb(Zn
1/3
Nb
2/3
)O
3
-PbTiO
3
[PZN-PT] and
Pb(Mg
1/3
Nb
2/3
)O
3
-PbTiO
3
(PMN-PT), exhibit excep-
tionally high dielectric and electromechanical properties
with minimum hysteresis even when driven at relatively
high applied electric fields compared with state-of-the-art
lead zirconate titanate (PZT) ceramics [1], [2]. The prop-
erties of these piezoelectric single crystals depend on both
crystal composition and orientation. For instance, PZN-
(6–7)%PT single crystals of [110]
L
× [001]
T
cut not only
exhibit superior electromechanical properties, with k
31
≈0.85 and d
31
≈ -1425 pC/N, but also high d s
E
31
11
/
value
of >35 C/m
2
[3]–[6], making it a suitable material for
high-performance transducer applications. Note that
d s
E
31
11
/
is a piezoelectric material parameter used in the
blocking force expression of transverse (d
31
) mode piezo-
electric actuators [7].
During actual applications the piezo single crystals may
experience an electric field, a mechanical stress, or a com-
bination of both. The maximum applied electric field and
mechanical stress are limited by the phase transformation
and depoling characteristics of the single crystals. For ex-
ample, the low coercive field of PZN-PT and PMN-PT
single crystals is responsible for the low depoling field and
limits its bipolar driving capability [8]. Phase transforma-
tions in the relaxor single crystals have been reported at
sufficiently high electric field and/or mechanical strains
in variously oriented PMN-PT [9]–[15] and PZN-PT [12],
[16]–[21] single crystals. The earlier works [9]–[21] were
mainly concentrated on the effect of electric field and com-
pressive stress on both longitudinal (d
33
) and transverse
(d
31
) mode samples. The obvious reasons of interest in the
compressive stress effect were the requirements for vari-
ous applications, mainly under-water acoustic transduc-
ers, and higher compressive strengths of the ceramics and
single crystals. Furthermore, keeping longitudinal samples
under high tension was either never required or quite im-
practical for many of the applications. The current uses
of transverse mode piezoelectric materials span from uni-
morph actuators to the application of energy harvesting
from ambient vibration, in which both high compressive
and tensile stresses can be generated during the operation.
This becomes more critical for ultra-sensitive PZN-PT
single crystals. In this work, the effect of applied electric
field and mechanical loading on the behavior of transverse
mode PZN-(6–7)%PT single crystals of [110]
L
× [001]
T
cut have been investigated.
Manuscript received December 31, 2010; accepted March 3, 2011. This
work is supported by research grants received from the Ministry of Edu-
cation (Singapore) and National University of Singapore, via research
grant nos. R-265-000-221-112, R-265-000-257-112, R-265-000-257-731,
and R-265-000-261-123/490. R. Shukla acknowledges the research schol-
arship and technical support received from IIT Bombay and NUS for
him to pursue his Ph.D. research.
R. Shukla is with the Suman Mashruwala Advanced Microengineering
Laboratory, Department of Mechanical Engineering, Indian Institute of
Technology, Bombay, Mumbai, India, and the Department of Mechani-
cal Engineering, National University of Singapore, Singapore. He is cur-
rently with the Institute for Materials Research, School of Process Envi-
ronmental and Materials Engineering, Faculty of Engineering, University
of Leeds, Leeds, UK (e-mail: R.Shukla@leeds.ac.uk).
L.-C. Lim is with the Department of Mechanical Engineering, National
University of Singapore, Singapore, and Microfine Materials Technolo-
gies Pte. Ltd., Singapore.
P. Gandhi is with the Suman Mashruwala Advanced Microengineering
Laboratory, Department of Mechanical Engineering, Indian Institute of
Technology Bombay, Mumbai, India.
Digital Object Identifier 10.1109/TUFFC.2011.2026