PHYSICAL REVIEW B 93, 104103 (2016)
Anomalous reduction in domain wall displacement at the morphotropic phase boundary of the
piezoelectric alloy system PbTiO
3
-BiScO
3
Dipak Kumar Khatua,
1
Lalitha K. V.,
1
Chris M. Fancher,
2
Jacob L. Jones,
2
and Rajeev Ranjan
1 , *
1
Department of Materials Engineering, Indian Institute of Science, Bangalore 560012, India
2
Department of Materials Science and Engineering, North Carolina State University, Raleigh, North Carolina 27695, USA
(Received 5 June 2015; revised manuscript received 4 February 2016; published 2 March 2016)
A comparative study of field-induced domain switching and lattice strain was carried out by in situ
electric-field-dependent high-energy synchrotron x-ray diffraction on a morphotropic phase boundary (MPB)
and a near-MPB rhombohedral/pseudomonoclinic composition of a high-performance piezoelectric alloy
(1 − x )PbTiO
3
-(x )BiScO
3
. It is demonstrated that the MPB composition showing large d
33
∼ 425 pC/N
exhibits significantly reduced propensity of field-induced domain switching as compared to the non-MPB
rhombohedral composition (d
33
∼ 260 pC/N ). These experimental observations contradict the basic premise
of the martensitic-theory-based explanation which emphasizes on enhanced domain wall motion as the primary
factor for the anomalous piezoelectric response in MPB piezoelectrics. Our results favor field-induced structural
transformation to be the primary mechanism contributing to the large piezoresponse of the critical MPB
composition of this system.
DOI: 10.1103/PhysRevB.93.104103
I. INTRODUCTION
Morphotropic phase boundary (MPB) ferroelectrics are
widely used as actuators, sensors, and transducers by virtue
of their exceptionally large piezoelectric response. A first
intuitive explanation for the large electromechanical response
was attributed to the availability of a large number of domain
variants, which was supposed to enable efficient poling of
the specimen [1]. This idea received theoretical support from
a Devonshire-Ginzburg-Landau-based multiscale calculation
which predicted enhanced domain switching in MPB systems
[2]. The same scenario is considered to be applicable in
single phase low-symmetry ferroelectrics [2]. In contrast,
first-principles [3,4] and phenomenological free-energy cal-
culations [5–7] have shown a correlation between anisotropic
flattening of a free-energy profile and polarization rotation, as-
sisted by low-symmetry phases as the fundamental mechanism
for an enhanced piezoelectric response in ferroelectrics [3–10].
Martensitic-based theory on the other hand, attributes the large
piezoelectric response of the MPB systems to enhanced density
and mobility of domain walls [11–16]. In situ electric-field
diffraction experiments enable direct estimation of domain
switching and lattice strain in ferroelectrics [17–23]. Ghosh
et al. have shown that the relatively enhanced dielectric and
piezoelectric responses of polycrystalline BaTiO
3
in the grain
size range of ∼1 to 2 μm is associated with an enhanced
domain wall displacement [24]. The authors concluded this by
comparing the domain switching fraction in BaTiO
3
ceramics
of different grain sizes and found it to be largest in the size
range of 1 to 2 μm. Apart from studying domain switching,
an in situ field-dependent diffraction experiment can also
ascertain the occurrence of field-induced interferroelectric
transformation, if any. However, the combined effect of
preferred orientation and severe overlapping of Bragg peaks
corresponding to the different phases makes structural analysis
very challenging. Using a special diffraction geometry to
*
rajeev@materials.iisc.ernet.in
avoid a field-induced preferred orientation effect, Hinterstein
et al. have shown evidence of field-induced tetragonal to
rhombohedral/monoclinic transformation in a soft lead zir-
conate titanate [Pb(Ti,Zr)O
3
(PZT)] [25]. A similar result was
obtained by Kalyani et al. by an ex situ technique [26]. More
recently, Hinterstein et al. have suggested that field-induced
phase transformation is the dominant factor in determining
the overall piezoelectric strain of a soft PZT [27]. Field-
induced phase transformations have also been reported in other
ferroelectric systems exhibiting a high piezoelectric response,
such as BiScO
3
-PbTiO
3
[28], BaTiO
3
-based systems [29–31],
Na
1/2
Bi
1/2
TiO
3
-based systems [32–34], and (K,Na)NbO
3
-
based systems [35]. Because of the complications associated
with overlapping of Bragg profiles, domain switching studies
have mostly been reported for compositions away from the
critical MPB, i.e., exhibiting single phase. So far it has not
been established how the two phenomena (domain switching
and phase transformation) influence each other in the core
MPB compositions of piezoelectric alloys. The understanding
of this issue is of great fundamental significance since it has
direct bearing on our current understanding of the fundamental
mechanisms at work in MPB compositions exhibiting a very
high piezoelectric response. In the present paper, we have
addressed this issue in detail by studying important com-
positions spanning the BiScO
3
-PbTiO
3
morphotropic phase
boundary. Similar to PZT, this alloy system is known for
its high piezoelectric performance at the MPB [36]. Our
results show that the propensity of domain switching is
significantly reduced in the MPB composition as compared
to the neighboring non-MPB composition.
II. EXPERIMENT
The details related to the specimen synthesis can be
found in Ref. [28]. An in situ electric-field high-energy
x-ray diffraction (XRD) experiment was carried out at the
Advanced Photon Source at Argonne National Laboratory in
transmission geometry (beamline 11-ID-C), which ensured
2469-9950/2016/93(10)/104103(6) 104103-1 ©2016 American Physical Society