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Dielectric and polarized Raman spectroscopic studies on 0.85Pb(Zn1/3Nb2/3)O3-0.15PbTiO3 single crystalK. K. Mishra, A. K. Arora, S. N. Tripathy, and Dillip Pradhan Citation: Journal of Applied Physics 112, 073521 (2012); doi: 10.1063/1.4757958 View online: http://dx.doi.org/10.1063/1.4757958 View Table of Contents: http://scitation.aip.org/content/aip/journal/jap/112/7?ver=pdfcov Published by the AIP Publishing Articles you may be interested in Structural change in polar nanoregion in alkali niobate added Pb(Zn1/3Nb2/3)0.95Ti0.05O3 single crystal and itseffect on ferroelectric properties J. Appl. Phys. 112, 074109 (2012); 10.1063/1.4757620 Micro-Raman study of the microheterogeneity in the M A-M C phase transition in 0.67PbMg1/3Nb2/3O3-0.33PbTiO3 single crystal J. Appl. Phys. 109, 083517 (2011); 10.1063/1.3574666 Infrared and Raman spectroscopy of [ Pb ( Zn 1/3 Nb 2/3 ) O 3 ] 0.92 –[ PbTiO 3 ] 0.08 and [ Pb ( Mg 1/3 Nb 2/3) O 3 ] 0.71 –[ PbTiO 3 ] 0.29 single crystals J. Appl. Phys. 93, 933 (2003); 10.1063/1.1528274 Diffuse Neutron Scattering Study of Relaxor Ferroelectric (1−x)Pb(Zn1/3Nb2/3)O3xPbTiO3 (PZNxPT) AIP Conf. Proc. 626, 99 (2002); 10.1063/1.1499557 Dielectric and piezoelectric properties of the Mn-substituted Pb ( Zn 1/3 Nb 2/3 ) O 3 – PbTiO 3 single crystal J. Appl. Phys. 91, 4515 (2002); 10.1063/1.1459101
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Dielectric and polarized Raman spectroscopic studies on0.85Pb(Zn1/3Nb2/3)O3-0.15PbTiO3 single crystal
K. K. Mishra,1,a) A. K. Arora,1 S. N. Tripathy,2 and Dillip Pradhan2
1Condensed Matter Physics Division, Indira Gandhi Centre for Atomic Research, Kalpakkam 603102, India2Department of Physics, NIT Rourkela, Rourkela 769008, India
(Received 4 July 2012; accepted 10 September 2012; published online 10 October 2012)
Tetragonal-cubic phase transition has been investigated in relaxor-ferroelectric 0.85Pb(Zn1/3Nb2/3)
O3-0.15PbTiO3 single crystal using dielectric and Raman spectroscopy. A detailed analysis of the
dielectric data suggests that the transition is of second order. In the tetragonal phase (P4mm), all the
modes predicted by group theory were found in the Raman spectra and were assigned based on the
symmetry and polarization configuration. Frequencies of several modes were found to disappear
while a few modes exhibited discontinuous change across the phase transition temperature TC
�473 K. While in the high temperature cubic phase (Pm�3m) no first order Raman spectrum is
expected, the presence of several Raman peaks at elevated temperature suggests substitutional
disorder causing the appearance of symmetry-forbidden Raman bands. The line-width of A1(TO)
mode at 273 cm�1 shows anomalies across TC and the intermediate temperature T*. Furthermore,
based on the temperature dependence of total integrated intensities of all the modes in the polarized
and depolarized spectra, the Burns temperature TB, T*, and TC are identified at 650, 525, and 473 K,
respectively. VC 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4757958]
I. INTRODUCTION
Perovskite-type (ABO3) relaxor ferroelectric materials
have attracted attention of researchers because of their tech-
nological applications and also from fundamental point of
view.1–4 Their behaviour is characterized by high dielectric
constant and broad frequency dependent dielectric maximum
with temperature. In the case of lead-based ferroelectrics the
cations, in the high temperature paraelectric phase, are
expected to move freely among the available equivalent off-
center positions in the unit cell and hence the crystal has an
average Pm�3m structure.5 The occupation of the B-site by
cations of different atomic radii and valencies can lead to the
formation of chemically ordered nano-regions with Fm�3msymmetry.6–8 Therefore, in the paraelectric state the symme-
tries of the chemically ordered and disordered regions are
Fm�3m and Pm�3m, respectively.9,10 Upon cooling, the corre-
lation between the off-center cations gives rise to the forma-
tion of polar nano regions (PNRs). The temperature
evolution of PNRs is characterized by three temperatures.11
Below the Burns temperature TB, the nucleation of PNRs
begins. In addition, at this temperature, the lifetime of PNRs
exceeds the period of the optical phonon and hence these are
in quasi-dynamic state.11 At an intermediate temperature T*,
the originally formed PNRs coalesce to form large PNRs or
in other words, the T* marks the appearance of static or per-
manent correlations of the off-center ion displacements.11,12
Finally at freezing temperature Tf, the off-center ions are
arrested in one position. PNRs become static at Tf in the case
of a canonical relaxor. On the other hand, other relaxors,
which develop long-range ferroelectric order,12 undergo a
transition to normal ferroelectric state at the Curie tempera-
ture TC. (1� x)Pb(Zn1/3Nb2/3)-x(PbTiO3) ((1� x)PZN-xPT)
relaxor ferroelectrics are known to possess excellent piezo-
electric and dielectric properties.13 This solid solution
belongs to the family of Perovskite structure. The sublattice
A is occupied by Pb2þ ions and the B-site is randomly occu-
pied by Zn2þ, Nb5þ, and Ti4þ ions. It may be pointed out
that the individual components of the solid solution are dif-
ferent in their dielectric behaviour. PZN is a relaxor ferro-
electric and it undergoes a phase transition from high
temperature cubic to rhombohedral phase at low temperature
with an intermediate relaxor state consisting of PNRs em-
bedded in a non-polar matrix.14,15 On the other hand, PT is a
well known classical ferroelectric that exhibits a cubic to tet-
ragonal phase transition. The doping of PT in PZN influences
the structural and relaxor properties.9,16 The phase diagram
of the (1� x)PZN-xPT shows a sequence of structural phases
with temperature and the composition x of PT. For x� 8%
the crystals show rhombohedral symmetry whereas for
x¼ 11%–15%, crystals are found to be in tetragonal phase
with lattice anisotropy increasing with x. For x¼ 15%, which
is located away from the morphotropic phase boundary
(MPB), the system exhibits tetragonal–cubic phase transition
around 490 K16 and possesses relaxor ferroelectric character.
Raman spectroscopy is known to be a sensitive tech-
nique for studying phase transitions and short-range ordering
in Perovskite ferroelectric crystals.10,17–19 Phonon anomalies
induced by temperature changes are associated with phase
transitions.17–21 Furthermore, it has the advantage that light
couples directly with the ferroelectric order parameter
(polarization) and is therefore useful in study of PNRs dy-
namics also.11,12,22–24 Raman spectroscopic studies have
been reported for x¼ 4.5%,9 which is on the rhombohedral
side of the phase diagram and also for x¼ 8%,25,26 9%,27
and 10%,10 which are at the MPB. To our knowledge, polar-
ized Raman study on PZN-PT for a composition, which is on
a)Author to whom correspondence should be addressed. Electronic mail:
0021-8979/2012/112(7)/073521/7/$30.00 VC 2012 American Institute of Physics112, 073521-1
JOURNAL OF APPLIED PHYSICS 112, 073521 (2012)
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the tetragonal side of phase diagram has not been reported
across tetragonal-cubic phase transition. Since the increase
in Ti content influences the structural and relaxor behav-
iour,9,11 the phonon spectra are also expected to be modified.
Furthermore, it is of interest to examine the differences in
the phonon behaviours of solid solutions near and away from
MPB. Such a study on a broad compositional range is
expected to improve the understanding of PNRs dynamics.
The aim of the present work is to study the tetragonal-cubic
phase transition and the dynamical aspects of PNRs in
relaxor state in 0.85PZN-0.15PT using dielectric and polar-
ized Raman spectroscopy in the temperature range 298–
873 K. Single crystals were synthesized by flux method and
relaxor-like behaviour was examined using dielectric
spectroscopy.
II. EXPERIMENTAL
Transparent and yellow color single crystals of
0.85PZN-0.15PT were grown by flux method with Pb3O4 as
flux. The charge and flux were taken in 40(PZN-PT):60
Pb3O4 wt. %. The crystals were grown by cooling from 1473
to 1203 K at a rate of 0.8 K/h and then from 1203 K to room
temperature at a rate of 300 K/h. The Perovskite tetragonal
(P4mm) phase was confirmed using x-ray powder diffraction
(XRD) analysis. The typical sample dimensions were
3� 2� 0.5 mm3. The grown single crystals were found to be
oriented in [100] plane from Laue pattern. The energy dis-
persive x-ray analysis of the sample was carried out using a
scanning electron microscope (CARL ZEISS, SUPRA 55).
The surfaces were polished to optical quality. For dielectric
measurement, the (100) faces of the single crystal were elec-
troded with silver paste. The dielectric parameters (capaci-
tance and dissipation factor) were measured in the frequency
range 2 kHz to 1 MHz using a computer-controlled LCR me-
ter/impedance analyzer (PSM: N4L (Model: 1735, UK)) in
the temperature range 300–585 K. Raman spectra were
recorded using a Ranishaw micro-Raman spectrometer
(model InVia) equipped with a Leica microscope and a
20� long-working distance objective. The measurements
were conducted in backscattering geometry using the
514.5 nm line of an Ar-ion laser. The spectrometer resolution
for 1800 l/mm grating was �1.5 cm�1. The in situtemperature-dependent measurements were carried out using
a Linkam heating-cooling stage ensuring a temperature sta-
bility of 60.1 K. Data acquisition time and the laser power
were adjusted for obtaining a good signal to noise ratio.
Polarized Raman spectra were measured upon heating from
room temperature to 873 K in X(YY)X0 (V-V) and X(YZ)X0
(V-H) scattering geometries (Porto’s notation), where X, Y,
and Z are parallel to the tetragonal [100], [010], and [001]
crystallographic directions, respectively. The spectra were
fitted to Lorenzian line shapes to determine the peak posi-
tions, full widths at half maximum (FWHM), and integrated
intensities, using PEAKFIT software (JANDEL).
III. RESULTS AND DISCUSSION
All the peaks of the x-ray diffraction pattern of the pow-
dered crystals of PZN-PT could be indexed to the tetragonal
crystal system with space group P4mm, with lattice parame-
ters a¼ 4.0165(6) A and c¼ 4.1027(9) A. These lattice pa-
rameters are in good agreement with the reported phase
diagram data on (1� x)PZN-xPT,16 suggesting that the
doped-Ti composition in the single crystal is x� 15%, well
within the expected stoichiometry of PZN-PT. Energy dis-
persive x-ray analysis on single crystal confirmed the pres-
ence of all the cationic elements in agreement with expected
stoichiometry within experimental error. Figure S1 (supple-
mentary material38) shows the diffraction pattern and the
EDAX spectrum.
A. Dielectric spectroscopy
Figure 1(a) shows the variation of dielectric permittivity
(er) with temperature at different frequencies. One can see
that er decreases with increasing frequency. This is the typi-
cal behavior of polar dielectric material.28 The relative
dielectric permittivity rises slowly with the increase in tem-
perature up to 450 K and then it suddenly increases to its
maximum value at Tm� 480 K. After reaching the maximum
value, it decreases monotonically with rise in temperature.
Furthermore, the dielectric peaks observed around
FIG. 1. (a) Temperature dependence of the dielectric constant (er) of PZN-
PT single crystal measured at different frequencies and (b) temperature de-
pendence of the dielectric loss (tan d) of PZN-PT single crystal measured at
different frequencies. Vertical dashed lines correspond to tetragonal-cubic
transition temperature.
073521-2 Mishra et al. J. Appl. Phys. 112, 073521 (2012)
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Tm� 480 K exhibit a clear but weak frequency dispersion.
This suggests that the system exhibits weak relaxor behav-
iour. For this PZN-PT composition, the tetragonal to cubic
phase transition was found to occur at a temperature close to
Tm.16 Thus, the dielectric anomaly observed around Tm could
be attributed to the ferroelectric to paraelectric phase transi-
tion (i.e., tetragonal-cubic phase). Figure 1(b) shows the tem-
perature dependence of tan d at selected frequencies. Two
peaks can be seen in the temperature range of investigation.
The first peak is observed between 350 and 425 K and the
second around 480 and 490 K. The first peak of the tan dshifts towards the high temperature side and the broadening
of the peak increases with increase in frequency. The second
peak corresponds to the ferroelectric transition, which also
manifested as a peak in er versus temperature plot. In order
to get an idea about the order of the phase transition, the re-
ciprocal of permittivity as a function of temperature has been
plotted at a selected frequency of 100 kHz and is shown in
Fig. 2. The effect of interfacial capacitance (which often
occurs at low frequencies) of the dielectric material was
avoided by selecting a high frequency (i.e., 100 kHz). The
plot of 1/er versus T shows different slopes below and above
the phase transition temperature. The corresponding deriva-
tive n¼ d/dT(1/er) (Fig. 2) has been argued to give informa-
tion about the order of phase transition and the transition
temperature.29 The temperature at which n¼ 0 corresponds
to the ferroelectric to paraelectric transition temperature,
which is found to be Tm in the present case. At low tempera-
ture (T< 450 K), n (��1.6� 10�6) remains temperature in-
dependent representing the ferroelectric state, and at high
temperature (T> 550 K) also n (�2.65� 10�6) remains inde-
pendent of temperature, which corresponds to paraelectric
state. In the neighborhood of transition temperature Tm, the
derivative value drops from 1.34� 10�6 (505 K) to
�2.85� 10�6 (475 K). The change in the derivative ratio is
found to be ��2.12 which is in an agreement with that
expected for a second order phase transition.29,30
B. Polarized Raman spectroscopy
The ambient tetragonal ferroelectric phase of PZN-PT
belongs to the space group P4mm. The irreducible representa-
tion of optical phonons in this phase is Uopt¼ 3A1þ 4EþB1,
where the A1 and E modes are both Raman and infrared
active, whereas the B1 mode is only Raman active. The
Raman tensors associated with these modes are
A1ðZÞ :
a 0 0
0 a 0
0 0 b
264
375; EðXÞ :
0 0 e
0 0 0
e 0 0
264
375;
EðYÞ :
0 0 0
0 0 e
0 e 0
264
375; B1 :
c 0 0
0 �c 0
0 0 0
264
375;
where X, Y, and Z indicate the polarization of the phonon
modes. The Raman modes allowed for [100] oriented single
crystal in X(YY)X0 scattering geometry are A1(TO)þB1
and E(TO) in X(YZ)X0 configuration. Figure 3(a) shows the
unpolarized Raman spectra measured at different tempera-
ture. At room temperature, a total of five prominent Raman
peaks and three shoulders are discernible in the frequency
range 90–1000 cm�1. By analysing the spectra using PEAKFIT,
11 modes could be identified. Figures 3(b) and 3(c) show the
polarized Raman spectra in V-V and V-H geometries at dif-
ferent temperatures, respectively. Here, we have presented
the reduced Raman intensity IR after correcting for the effect
of temperature so that the intensity changes can be compared
without the influence of thermal population factor, which is
given by IR ¼ IðxÞ=ðe�hx=kBT � 1Þ þ 1, where I(x) corre-
sponds to the measured Raman intensity and 1=ðe�hx=kBT
�1Þ þ 1 is the Bose-Einstein phonon population factor. The
Raman spectra were found to be broad at ambient tempera-
ture. The broad nature of the Raman modes has been recently
argued to arise due to substitutional disorder at cation site.17
At elevated temperature, the spectra broaden further and the
intensities are found to reduce as expected.
In order to study the dramatic changes caused by the
influence of temperature, a quantitative analysis of the
changes in the Raman spectra is required. This can be
achieved only when the peak positions, line-widths, and
intensities of the modes are precisely obtained using curve
fitting. Hence the reduced spectra were fitted to multi-
Lorenzians using the PEAKFIT program. In the context of num-
ber of peaks used for fitting the spectrum for a given temper-
ature, it is important to point out that although it is always
possible to fit more number of peaks to a given spectrum, we
adopted a strategy to use the minimum number of peaks that
yield a good fit. If one uses more number of modes than
required, it leads to large standard errors and strong correla-
tions in fitted parameters.19 The fitted parameters obtained
from unpolarized Raman spectra were used to ascertain the
positions and widths of the weak and poorly resolved peaks
of the V-V and V-H spectra.31 The fitted Raman peaks in the
V-V geometry at 298 and 713 K as a representative example
are shown in Fig. 4. At 298 K, ten modes could be identified
at 105, 204, 272, 419, 504, 604, 728, 760, 788, and
809 cm�1, respectively. On the other hand at 713 K, modes
at 105, 204, 419, 504, 728, and 809 cm�1 could not be identi-
fied and hence only four modes survived at this temperature.
Similarly, Fig. 5 shows the fitted Raman peaks at 298 K andFIG. 2. Temperature dependence of the inverse of dielectric constant (1/er)
and its T-derivative (n) for 100 kHz data.
073521-3 Mishra et al. J. Appl. Phys. 112, 073521 (2012)
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713 K in the VH geometry. At 298 K, seven modes at 176,
273, 307, 416, 530, 614, and 776 cm�1 are found whereas at
713 K, the modes at 416 and 614 cm�1 could not be found.
Less number of modes at high temperature in both the geo-
metries could be due to either insufficient intensity of weak
modes or transformation to the higher symmetry cubic phase.
The modes in higher temperature phase will be discussed
later. The Raman modes in the ambient temperature
FIG. 4. Multi-Lorenzian peak fitting of reduced Raman spectra at (a) 298 K
and (b) 713 K in V-V geometry.
FIG. 3. Raman spectra at different temperatures (a) unpolarized, and in (b) V-V and (c) V-H polarization geometries after correcting for thermal population
factor.
FIG. 5. Multi-Lorenzian peak fitting of reduced Raman spectra at (a) 298 K
and (b) 713 K in V-H geometry.
073521-4 Mishra et al. J. Appl. Phys. 112, 073521 (2012)
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tetragonal phase have not been assigned yet. Here, we pres-
ent the observed mode frequencies and their assignments in
both the geometries in Table I. The unassigned weak modes
are possibly due to polarization leakage.
Figure 6 shows the dependences of mode frequencies on
temperature in both polarized and depolarized geometries.
One can see that in the V-V geometry, modes at 419 and
504 cm�1 could not be followed at high temperature. Note
that disappearance of the modes at 105 and 204 cm�1 (Fig.
6(a)) at �473 K, as the sample undergoes the structural phase
transition. Similarly, the mode at 416 cm�1 in the V-H geom-
etry (Fig. 6(b)) is also found to vanish at �473 K. In addi-
tion, the modes at 273 and 760 cm�1 in V-V (Fig. 6(a)) and
those at 176 and 776 cm�1 in V-H (Fig. 6(b)) geometries
show a discontinuous change at �473 K. It may be men-
tioned that the mode disappearance, mode broadening, and
discontinuous change in mode frequencies are typical for
Perovskite ferroelectrics undergoing a phase transition.18,25
Therefore, the present observations suggests that the system
undergoes a tetragonal to cubic phase transition at �473 K,
which is close to the transition temperature reported from
XRD measurement16 as well as the dielectric results dis-
cussed earlier.
Figures 4(b) and 5(b) show the Raman spectra in high
temperature cubic phase. Appearance of Raman spectra in
high temperature cubic phase could be due to two reasons:
(a) disordered activated symmetry-forbidden scattering and/
or (b) existence of ordered nano-clusters of cubic Fm�3msymmetry in an over-all host of average cubic Pm�3m. From
group theoretical analysis, the total irreducible representation
of optical phonons in the cubic Pm�3m phase is10,17
Uopt¼ 3F1uþ F2u, where F1u is infrared active, and F2u is
inactive both in Raman and infrared (silent mode). These
modes can be correlated to those expected from the tetrago-
nal (P4mm) phase. A1 (R, IR) and E (R, IR) modes of tetrag-
onal phase give rise to F1u (IR) and that of B1 (R) and E (R,
IR) modes merge to give F2u silent mode. Thus, none of
these modes are Raman active in the cubic phase. Substitu-
tional disorder at B-cation site can lead to breakdown of
Raman selection rule causing the appearance of Raman
bands in the high temperature cubic phase. Thus, the spectra
in this phase are likely to have large contribution from the
phonon density of states.19 It can be mentioned here that the
zone center and other high symmetry points in the Brillouin
zone make significant contribution to the phonon density of
states. Therefore, in principle all the phonons, whether
Raman active or not, can contribute to the disorder-activated
Raman scattering.
As mentioned earlier, Raman modes can also arise from
chemically ordered nano-regions of double Perovskite struc-
ture (Fm�3m) dispersed in a disordered matrix with an aver-
age single Perovskite structure (Pm�3m). In view of the
length scale of sensitivity (a few nm)12 of Raman scattering,
ordered nano-regions can in principle give rise to Raman
spectrum. In fact in many similar substituted systems, it has
been argued that the chemically ordered nano-regions give
rise to Raman bands.20,32 It has been further argued that the
TABLE I. Raman mode frequencies (cm�1) and their assignments in
0.85PZN-0.15PT single crystal in different polarization configurations.
X(YY)X0A1(TO)þB1 X(YZ)X0E(TO)
105.9(9) A1(TO) …
… 176.2(7) E(TO)
204(2) …
272.7(4) A1(TO) 273(1) E(TO)
… 307(21)
419(2) 416.4(8)
504(4) …
… 530.8(4) E(TO)
604.7(5) B1 614(2)
728(4) …
760(2) …
788(1) A1(TO) 776.4(4) E(TO)
809(4) …
FIG. 6. Dependence of Raman mode fre-
quencies on temperature in (a) V-V and
(b) V-H geometries. Vertical dashed
lines correspond to tetragonal-cubic
transition temperature.
073521-5 Mishra et al. J. Appl. Phys. 112, 073521 (2012)
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PZN and Pb(Mg1/3Nb2/3)O3 (PMN), when added with mod-
erate amount of PT, do not disturb the cubic ordered struc-
ture (Fm�3m).9,10 A strong mode at �788 cm�1 has been
found in the Raman spectra of several Pb-based relaxors
such as 0.9PZN-0.1PT,10 PZN,11 PbSc0.5Nb0.5O3 and
PbSc0.5Ta0.5O3 (PST),33 Pb(Mg1/3Nb2/3)O3,34 and doped-
PST.35 It is likely that the Raman scattering in 0.85PZN-
0.15PT could also have contributions from the ordered
Fm�3m regions. The optical phonons in this phase are
Uopt¼A1gþEgþ 2F2gþ F1gþ 4F1uþ F2u.11,36 In this phase,
A1g, Eg, and 2F2g Raman active non-polar phonons are
expected. According to the selection rules, A1g and Eg modes
appear in X(YY)X0 geometry and the F2g modes are allowed
in X(YZ)X0 geometry. However, all these modes continue to
have correspondence with those of the tetragonal phase.
Therefore, it is more appropriate to attribute the Raman
bands in the cubic phase to symmetry-forbidden scattering.
The temperature dependence of total integral intensity
has been argued to be useful in determining the characteristic
temperatures in the evolution of PNRs of relaxor phase.9–11
Figure 7 shows the temperature dependences of the total
integrated intensities in V-V and V-H spectra. Three charac-
teristic temperatures could be identified from corresponding
anomalies found in both the geometries, TB� 650 K,
T*� 525 K, and TC� 473 K. It may be pointed out that these
characteristic temperatures identified from the Raman data
are in agreement with those found in our recent Brillouin
scattering studies37 on the same sample. On approaching
from high temperature relaxor phase towards the TC, one can
see from Fig. 7(a) that the V-V total integrated intensity
shows a change of slope at TB and T*. Similarly, a change in
slope at TB and TC is found in the plot of total integrated in-
tensity in V-H configuration (Fig. 7(b)).
In the previous studies on Pb-based relaxors, it has been
reported that the Raman modes at 50 and 273 cm�1 are sensi-
tive to the structural transition.10,35 Therefore, it is instructive
to analyze the temperature dependence of these Raman
modes. Since the mode associated with Pb translation10 at
�50 cm�1 is not covered in our spectral range, we restricted
our analysis to the 273 cm�1 mode. This mode is the B-cation-
localized F1u mode of the prototype Fm�3m structure and is
infrared active, whose appearance as a Raman mode arises
from the off-center displacement of B-cations from their ideal
cubic positions.10,33,35 At ambient temperature tetragonal
phase, this mode is A1(TO). Figure 8 shows the behaviour of
FWHM of this mode with temperature. A change of slope at
the intermediate temperature T*� 525 K and a dramatic dis-
continuous change at TC is unambiguously evident. The tran-
sition temperature suggested from the anomalies in Fig. 8 is in
good agreement with that obtained from the temperature de-
pendence of the mode frequencies and the total integrated in-
tensity (Figs. 6 and 7). It may be stressed here that in several
Pb-based relaxors this mode shows a decrease in its width at
T*.10,33,35 Therefore, T* represents an universal character of
the PNRs dynamics, where the strong correlation between the
off-centered displacement of B-site cations begins, leading to
FIG. 7. Temperature dependences of the
total integrated Raman intensity in (a)
V-V and (b) V-H geometry.
FIG. 8. Temperature dependence of FWHM of the mode at 273 cm�1 in
V-V geometry.
073521-6 Mishra et al. J. Appl. Phys. 112, 073521 (2012)
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permanent PNRs.10 A remark on observing different phase
transition temperatures from different techniques is in order.
The difference in the length scale of sensitivity of XRD
(�100 A), dielectric (size of the sample), and light scattering
(�30–40 A) could be the reason for observing different transi-
tion temperatures in different techniques. It may be pointed
out that the length scale of sensitivity depends on the nature of
the interaction between the probing radiation and the sam-
ple.12 Figure 9 shows the temperature dependence of the
depolarization ratio (g). Note that above TB the spectra are
strongly polarized (low g) and depolarization rapidly increases
as T is lowered. This suggests that the correlations among
PNRs increase with decreasing temperature. The depolariza-
tion ratio is found to increase by a factor of �5 as compared
to that obtained at higher temperature. The increase in g is
similar to that reported in other Perovskite relaxor
compounds.10
IV. SUMMARY AND CONCLUSIONS
Dielectric and polarized Raman spectroscopic studies
were carried out on 0.85PZN-0.15PT single crystal in the
temperature range 298 to 873 K. From the dielectric analysis,
the transition is found to be of second order. The polarized
Raman spectra in the ambient temperature tetragonal phase
are assigned for the first time. While in the high temperature
cubic phase (Pm�3m) no first order Raman spectrum is
expected, the presence of several Raman peaks at elevated
temperature suggests substitutional disorder causing the
appearance of symmetry-forbidden Raman bands. Anomalies
in the temperature dependence of line-width of 273 cm�1 F1u
mode (A1(TO) mode at ambient) were found at TC and T*.
Three characteristic temperatures related to the nucleation of
PNRs (TB), formation of long-lived PNRs (T*), and the freez-
ing of their fluctuation (TC) are found to be 650, 525, and
473 K, respectively, from the analysis of Raman spectral
parameters.
ACKNOWLEDGMENTS
We acknowledge Ms. S. Hussain of UGC-DAE-CSR,
Kalpakkam Node for energy dispersive x-ray analysis of the
sample. We also thank Dr. C. S. Sundar for interest in the
work and Director IGCAR for encouragement.
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Powder X-ray diffraction pattern of 0.85PZN-0.15PT. Inset:EDAX spec-
trum on single crystal.
FIG. 9. Temperature dependence of the depolarization ratio g¼ IYZ/
(IYZþ IYY) of modes between 700 and 900 cm�1, where IYZ and IYY are the
integrated intensities of corresponding modes in V-H and V-V geometry.
The curve represents a guide to the eye.
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