structural, optical and dielectric study of mn doped prfeo ... · becomes jt-active as mn 3+ is a...
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Structural, Optical and dielectric study of Mn doped PrFeO3 ceramics
Khalid Sultan1*, M. Ikram
1 and K.Asokan
2
1Department of physics, National Institute of Technology Hazratbal Srinagar,
J & K-190006, India
2Material Science Division, Inter University Accelerator Centre, Aruna Asaf Ali Marg, New Delhi-
110067, India
Abstract
Polycrystalline bulk samples of PrFe1-xMnxO3 (x=0.0, 0.1, 0.3, 0.5) were synthesized by solid
state reaction method to understand their structural, optical and dielectric properties. X-ray
diffraction (XRD) and Raman spectroscopy were investigated to confirm chemical phase and
the orthorhombic pbnm structure. As the concentration of Mn increases, the lattice parameter
b increases while the lattice parameters a and c/√2 decrease but the change of former is less
than later. PrFe1-xMnxO3 exhibits O-type (a < c/√2 < b) orthorhombic pbnm structure upto
x=0.5. From XRD it is also evident that the peaks shift towards higher 2θ values with
increase in Mn content indicating the development of strain in the crystal structure possibly
due to Jahn-Teller distortion after the incorporation of Mn3+
ions in the parent compound
PrFeO3. From the Raman study, the modes exhibit a blue shift with broadening of spectral
features in the doped samples. The observed shift in wave number with doping clearly
indicates change in the bond lengths of Fe-O / Mn-O as well as their impact on FeO6 / MnO6
octahedra. The dielectric constant (ε') and dielectric loss (tanδ) are also studied as a function
of frequency and temperature. The dielectric constant and ac conductivity increases with Mn
doping. The variation of dielectric properties such as ac conductivity, tanδ and ε' suggests
that small polarons contribute to the conduction mechanism. Activation energy (Eσ) and
optical band gap (Eg) decreases with the concentration of Mn. The observed higher values of
these quantities reveals that there is hopping between Mn3+
to Mn4+
and Fe3+
to Fe2+
at the
octahedral sites of the compound. Possible mechanism contributing to these processes has
been discussed.
Key Words: Solid State Reaction, Mn, PrFeO3, XRD, RAMAN, Orthorhombic, Dielectric
properties.
1. INTRODUCTION
Ferrites are promising eco-friendly material to replace toxic lead-based perovskite
relaxors, sensors, capacitors and optical storage devices [1]. Among ferrites, orthoferrites,
RFeO3 (where R = rare earth metals) belongs to perovskite family and have ABO3 distorted
orthorhombic GdFeO3 type perovskite structure with space group pbnm. In this structure, the
distortion of the Fe octahedron is small and almost independent of „R‟ (rare earth) [2]. But
the distortion of rare earth polyhydra is large and increases with decreasing ionic radius of R.
As distortion increases, the 12 O ions surrounding the „R‟ separate into two types: R with
eight first-nearest O ions and R with four second-nearest O ions. Such structural distortions
influence the magnetic ordering and spin-state transitions [3]. In Orthoferrites, PrFeO3 (PFO)
appears as a potential candidate in microelectronic industry as they enable device
miniaturization due to the high dielectric constant (ε') and low dielectric loss (tanδ). PFO also
shows remarkable electrical and magnetic properties due to mixed valency of perovskites and
also because of anion non-stoichoimetry permitted by 3d ions in B site [4-5]. Like most of the
Orthoferrites, PFO has GdFeO3-type structure, which crystallizes with distorted orthorhombic
perovskite-like lattice symmetry, with four Fe ions and four rare-earth ions per unit cell and
conforms to the space group D2h16 Pbnm at room temperature [6]. The four Fe sites and four
rare earth sites of PrFeO3 are crystallographically equivalent [7-8]. The crystallographic unit
cell of PrFeO3 (Fe being in high spin state) can be visualized as a corner sharing FeO6
octahedron forming a three dimensional distorted perovskite structure [9]. Furthermore PFO
at room temperature is a wide-gap, high-spin Mott insulator placed in the highly correlated
regime (U/t>>1) [10].
The physical properties of PFO can be tailored by substituting the cation Fe by several
elements partly or completely and potentially create new applications [11-13]. The
compound PrFeO3 is Jahn-Teller (JT) inactive as Fe3+
is a JT inactive ion. After replacing Fe
with Mn, the compound PrFe1-xMnxO3 becomes JT-active as Mn3+
is a JT-active ion. It is
reported that the t2g3 eg
1 state of Mn
3+ is subjected to JT effect resulting in the distortion of
MnO6 octahedra with four Mn-O distances of 0.1930 nm and two of 0.2290 nm [14]. The
substitution of Mn ions in PrFeO3 weakens the exchange interaction and reduces the Curie
temperature. It also induces a J-T distortion which results in a large electric field gradient at
the 57
Fe nucleus and modification of crystallographic structure. Present study focuses on the
structural, optical and the dielectric properties of PrFe1-xMnxO3 (x=0, 0.1, 0.3 and 0.5) and
evaluates the parameters like lattice parameters, dielectric constants, a.c. conductivity and
activation energy. Possible mechanism for their conduction is also discussed.
2. EXPERIMENTAL DETAILS
Polycrystalline bulk samples of chemical composition PrFe1-xMnxO3 (x=0.0, 0.1, 0.3,
0.5) (hereafter called as PFMO) were prepared by solid state reaction method using high
purity (> 99.9%) precursors of Pr6O11, Mn2O3 and Fe2O3 taken in the stiochiometry ratio.
Mixed powders were preheated at 10000C for 12 hours and calcinated again at 1200
0C for 12
hours. The homogenous powder was reground and pelletized into pellets of 10 mm in
diameter by the application of 5 kN force. The resultant pellets were sintered at 12500C for
24 hours at a heating rate of 40Cmin
-1 and then cooled to room temperature at a cooling rate
of 30Cmin
-1 in a tubular furnace.
The structure of the sample was analyzed by X-ray diffraction (XRD) using Bruker
D8 Advance diffractometer (Cu-Kα radiation) at room temperature in the 2θ range of 20-
80°. Raman study of the samples PFMO was carried out and the spectra were collected in
back scattering geometry using an Ar excitation source having a wavelength of 488nm
coupled with a Labram-HR800 micro Raman spectrometer equipped with a 50X objective,
appropriate notch filter and a Peltier cooled charge-coupled device detector. No melting or
phase transition was observed in the sample at excitation Laser power of 10 mW. Bulk
Samples of PFMO were dissolved in ethanol and irradiated under ultraviolet-Visible radiation to see
the effect of Mn doping on maximum absorption wavelength and thus on optical band gap of systems.
PFMO pellets with diameter of 10 mm and thickness 2 mm were used for dielectric
measurements. The surface layers of pellets were carefully polished and a silver paste was
applied on the opposite faces which acted as electrodes for the dielectric measurements. The
dielectric properties were measured using Agilent 4285A precision LCR meter and lakeshore
temperature controller as a function of frequency of the applied ac field in the range of 20 Hz
to 1 MHz and at temperature ranging from 80 K to 400 K.
3. Results and discussions
3.1 XRD Analysis
The XRD pattern of PrFe1-xMnxO3 (x=0.0, 0.1, 0.3, 0.5) is shown in Fig.1. PrFeO3
crystallizes into GdFeO3 orthorhombic pbnm structure with Pr at wyckoff position (4c) (x y
1/2), Fe/Mn having position 4b (1/2 0 0) and O2 is at 8d (x y z). The XRD results shows no
variation in the crystal structure and symmetry (orthorhombic) up to x=0.5. The compounds
in single phase having orthorhombic structure and space group pbnm up to the doping range
of (Mn) x=0.5. From the inset of Fig.1, it is also evident that the peaks shift towards higher
2θ values with increase in Mn content indicating the development of strain in the crystal
structure possibly due to JT distortion after the incorporation of Mn3+
ions in the parent
compound PrFeO3. The line width and variation in the intensities of different reflections are
evident with increasing Mn content (for example, the peak (020) in Fig.1) which is not in
accordance with the structure and may have arisen due to structural changes occurred at
higher concentration of Mn ions.
The calculated lattice parameters a, b and c; volume and the interplanar spacing„d‟ are
summarized in table I. The lattice constants a, b and c were determined from the refinement
program and are shown as a function of Mn content. The lattice constants a and c decreases
with increase in Mn content while the lattice constant b increases with Mn content. There is a
small decrease in cell volume and the interplanar distances changed slightly because the
angle of peak (θ) did not vary significantly after Mn doping. Fig. 2 shows variation of lattice
constants a, b and c/√2 against Mn concentration. From the given Fig. it is clear that within
the doping range x=0.5 the lattice parameter c/√2 > a. With increasing Mn, the lattice
parameters a and c/√2 decrease but the change in former is less than later. It was observed
that the compound PrFe1-xMnxO3 exhibits O-type (a < c/√2 < b) orthorhombic pbnm
structure. This behavior is in good agreement with all ABO3 perovskite compounds [15-16].
3.2 Raman study
The Raman spectra at room temperature (300 K) of PrFe1-xMnxO3 (x=0.0, 0.1, 0.3,
0.5) is shown in Fig.3. Inset in this figure shows shifting of B1g mode to higher wave number
region with doping. It is now well known that the rare earth Orthoferrite PrFeO3 crystallizes
with a distorted perovskite structure with space group D2h16 (Pbnm). Following irreducible
representations at the brillouin zone center are presented by the group theory [17-18].
7 Ag + 5 B1g + 7 B2g + 5 B3g + 8 Au +10 B1u + 8 B2u + 10 B3u
The modes corresponding to the PFO (orthorhombic structure) are: Ag+ B1g symmetric;
Ag + 2 B1g + B3g bending modes; 2B2g+2B3g antisymmetric stretching modes; 2 Ag + 2 B2g +
B1g + B3g rotation, tilt modes of the octahedra and 3 Ag + B2g+ 3B1g + B2g modes related
locally to R ion movements [19].
For the PFO (orthorhombic) compound, we have, 24 Raman-active modes (7 Ag + 7
B1g+ 5 B2g+ 5 B3g), 25 infrared-active modes (7 B1u + 9 B2u + 9 B3u), 8 inactive modes (8 Au)
and 3 acoustic translational modes (1 B1u + 1 B2u+ 1 B3u). Out of 5 B3g modes, one
corresponds to the rare-earth atom, one to O(1) and three to O(2) while as out of 7 Ag modes,
two involve mainly in the motion of the R atom, two that of O (1), and three correspond to O
(2). The Fe atom participates only in infrared-active modes (being at centre symmetric).
Table II shows the observed modes with corresponding atomic motion (the concerned
assignments are taken from ref.[18] and are also in good agreement with ref. [20].
In perovskites containing trivalent Fe and Mn, the energy of crystal field splitting is smaller
than the Hund‟s energy between two electrons [21-22]. So the Fe and Mn ions are in the high
spin state. The trivalent Fe and Mn ions with high spin state have electronic configurations as
follows:
t2g (dxy, dyz, dxy) eg (d (x2
-y2
), dz2)
Fe3+
↑ ↑ ↑ ↑ ↑
Mn3+
↑ ↑ ↑ ↑
Mn3+
has a 3d4 configuration and exhibits JT distortion [23-24].
Similar studies were carried out by Mir et al for PrFe1-xNixO3. They observed a new
peak arising at 574 cm-1
with Ni doping. The appearance of this peak was suggested to be a
direct indication of structural phase transition (SPT) or symmetry breaking in PrFe1-xNixO3
(x=0 to 0.5) and other related systems. The possible explanation given in this regard was that
Fe in PrFeO3 is JT-inactive while as Ni3+
is a JT-active ion, therefore replacing Fe (JT-
inactive ion) with Ni (JT-active) ion induces distortion in the system resulting in the
symmetry breaking or structural phase transition in the system. It is apparent from our results
that there is not creation of any new peak in Raman spectra of PrFeO3 after Mn doping (upto
50%) which is also JT-active. One of the possible reasons might be that in present study the
size of Fe3+
and Mn3+
ions was almost similar in contrast to different ionic radii of Ni3+
in the
previous study [25]. Results from Raman study also show consistent with the XRD study and
both studies are supported the stability of orthorhombic structure in compound PFMO upto
50% Mn doping.
Another interesting characteristic of Raman scattering is sensitivity to strain in the
sample [26]. When the material is under strain, its Raman wave will deform/shift from the
original status and in that case this mechanical quantity is possible to be directly measured. It
is now an established fact that compressive stress results in the shift of the position of the
Raman peak towards higher wave number region (commonly called “Blue shift”), while
tensile stress results in a shift towards lower wave no. (“Red shift”) [27]. In this study it is
clear from Fig.4 that the modes exhibit a blue shift (hardening behavior) with broadening of
FWHM‟s in the doped samples which may arise due to the strain developed in the sample
after the inclusion of JT-active Mn3+
ions. The observed shift in wave no. with doping clearly
indicates change in Fe-O / Mn-O bond lengths as well as impact on FeO6 / MnO6 octahedra.
The Raman spectra show that there is a disorder in the vibrational bands with
increasing Mn content, which is primarily obvious because most of the Raman modes below
600 cm-1
are suppressed by the substitution of Mn ions (x = 0.1, 0.3 and 0.5) and the only
mode visible throughout the series is the B1g / J-T mode (near 629 cm-1
in pristine sample).
From the discussion, it is evident that the substitution of Mn ions in PrFeO3 apart from
weakening the exchange interaction also induces a J-T distortion which results in a large
electric field gradient at the 57
Fe nucleus. The crystallographic structure of the compound
(PFO) is modified by the substitution of Mn ions, because the ionic radii of Fe3+
and Mn3+
in
PFMO (x = 0.0, 0.1 and 0.5) are very similar [28]. Hence the double exchange interaction
between Mn3+
and Fe3+
occur in PFMO because Fe3+
and Mn3+
have the same electronic
structure. This double exchange interaction is also in consistent with the similar studies
carried out in Sm based Orthoferrites SmFe1-xMnxO3 [29].
3. 3 Dielectric properties
The dielectric constant is in the complex form in an ac field and is given by
ε = ε' - ϳε"
Where ε' is the real part and ε" is imaginary part designating the stored and dissipated
energy respectively. The frequency dependence of real part of dielectric constant of PFMO in
an ac field ranging from 20 Hz to 1 MHz is illustrated in Fig.4. The decrease of dielectric
constant (ε') and dielectric loss tangent (tan δ) [not shown in Fig.4] with frequency is a
general dielectric behavior of ferrites. The constant behavior in dielectric constant at higher
frequencies indicates the inadequacy of electric dipoles to follow the variation in frequencies
due to alternating applied electric field rather the electronic exchange between the ferrous
and ferric ions i, e Fe2+
↔ Fe3+
can not follow the alternating field. From the Fig. it depicts
that there is a steady decrease in ε' at lower frequencies and a steady behavior at higher
frequencies. The steady behavior of ε' at higher frequencies is associated with heterogeneous
conduction in composites while as the higher values of ε' may be assigned to the changes in
valency of cations and space charge polarization resulting from the creation of electric
dipoles within the system [30-31].
The temperature dependence of dielectric constant (ε') and dielectric loss tangent (tan
δ) at different frequencies for PFMO are shown in Fig.5 and Fig.6 respectively. From Fig.5 it
is obvious that the dielectric constant does not vary at low temperature while at higher
temperature it increases for all ranges of frequencies. Such a behavior at higher temperature
is due to generation of extra thermal energy which enhances the mobility of charge carriers
hence increases rate of hopping. At low temperatures, the thermal energy is not sufficient to
contribute to the mobility of charge carriers. This observed mechanism sets up the higher
polarization at higher temperature which increases the dielectric constant. For higher doping
concentrations, both dielectric constant as well as dielectric loss shows a relaxor type of
behavior which can again be attributed to the chemical pressure induced in PFO with the
doping of Mn ions.
Dielectric constant results from four types of polarizations namely, interfacial, dipolar,
ionic, and electronic [32]. The sharp increase in dielectric constant at lower frequency
exhibits strapping reliance on frequency and temperature and is caused due to dipolar and
interfacial polarization. The electronic and ionic polarization is responsible for dielectric
constant developed at higher frequency and is independent of temperature. This indicates that
temperature dependence dielectric constant at higher frequencies is of little significance
resulting in low dispersion of dielectric constant, hence explains the temperature dependence
of dielectric constant at various frequencies. The dielectric loss (tanδ) is a measure of lag in
the polarization with respect to the applied alternating field. It is evident from Fig.6 that for a
particular concentration of dopant, tanδ decreases with the increasing frequency and is
described using Koop‟s model. The inset of Fig. clearly shows a relaxor behavior of pristine
and higher doped samples which is a typical behavior of ferrites, however the surprisingly the
relaxor behavior got suppressed for intermediate doping. The low frequency domain
consequences the higher resistivity (due to grain boundaries), therefore acquisition of higher
energy forwards the mobility of electrons between ions resulting higher energy loss.
Similarly the higher frequency region corresponds to low resistivity (due to grain) and
smaller energy loss takes place.
The compositional variation of dielectric constant (ε') at various frequencies is shown
in Fig. 5 and the values are also given in table III. It is observed that the dielectric constant
increases with Mn concentrations and attains a typically higher value at x=0.5. The possible
explanation is related to the B site in perovskite ferrites which plays a dominant role in the
phenomena of electrical conductivity due to hopping of electrons in cation Fe3+
+ e ↔ Fe2+
at
B sites. After Mn doping in the compound PrFeO3 chemical pressure created in the
compound because of inclusion of JT-ions (Mn3+
), there is possibility for Mn3+
to get
converted in Mn4+
. To maintain the charge neutrality in the system Fe3+
gets converted in to
Fe2+
. It thus follows that the addition of Mn in place of Fe, converts Fe3+
to Fe2+
resulting in
decrease in the resistance of grain thereby increasing the probability of electrons reaching the
grain boundary. This becomes responsible for increase in polarization and hence the
dielectric constant. Similar results were reported in Mn-substituted Ni-Zn ferrites by
Amarendra et al wherein the dielectric constant was shown to be sensitively controlled by Mn
substitution study of and found that dielectric constant [33].
3.4. AC conductivity
To understand the mechanism of conduction and the type of polarons responsible for
conduction ac conductivity (ζac) was calculated using the following relation:
ζac = 2πfεoε'tanδ
Where εo = 8.854 ×.10-12
.F m-1
and f is the frequency (in Hz) of the applied electric field.
Fig.7 and Fig.8 shows the temperature dependent (at selected frequencies) and frequency
dependent ac conductivity plots respectively. A linear behavior is observed for ac
conductivity with temperature for all frequencies, and shows a sharp increase at higher
frequencies, which may be attributed to the increase in the number of charge carriers and
their drifted mobility which are thermally activated. At higher doping concentrations (x=0.5)
ac conductivity increases by orders of magnitude which can again be attributed to hopping of
Mn3+
to Mn4+
and Fe3+
to Fe2+
. The ac conductivity increases with the increase in frequency
and the obtained results are in good agreement with the literature [34-35]. The ac
conductivity alteration identifies that the conduction mechanism is following the charge
hopping between localized states. The observed results follow small polaron conduction and
is in consistent with the literature [36-37]. The hopping frequency of charge carriers seems to
be the function of the frequency of the applied field results in increase in mobility of charge
carriers, since the conductivity is not increased by charge carriers instead of mobility of these
carriers, therefore at certain higher frequency the hopping of charge carriers ceases to follow
the applied field frequency and deteriorates the conductivity.
The compositional variation of dielectric constant (ε') at (at various frequencies), ac
conductivity (σac), activation energy (Eσ) and optical band gap (Eg) are tabulated in table III.
It is clear from the table the value of dielectric constant increases with Mn doping and
reaches a very high value for higher doping (50%). This increase in dielectric constant with
Mn doping in the compound PrFeO3 was attributed to the fact that substituting Mn in place of
Fe, converts Fe3+
to Fe2+
while as Mn gets converted from Mn3+
to Mn4+
. This results
decrease in the resistance of grains thereby increasing the probability of electrons reaching
the grain boundaries, which becomes responsible for increase in polarization and hence the
dielectric constant. It is also observed from the table there is a steady decrease in ε' at lower
frequencies and a steady behavior at higher frequencies. The steady behavior of ε' at higher
frequencies is associated with heterogeneous conduction in composites while as the higher
values of ε' may be assigned to the changes in valency of cations and space charge
polarization resulting from the creation of electric dipoles within the system. From the
temperature dependent dielectric study it was observed that the Dielectric constant behaves
independently at low temperature while at higher temperature it increases with increasing
temperature for all frequencies, this behavior at higher temperature is due to generation of
extra thermal energy which enhances the mobility of charge carriers hence increases rate of
hopping, while as the thermal energy at low temperature does not contribute to mobility of
charge carriers. This observed mechanism setup the higher polarization at higher temperature
which increases the dielectric constant. Dielectric loss decreases with the increasing
frequency and is described using Koop‟s model. From the temperature dependent ac
conductivity study a linear behavior was observed for ac conductivity with temperature for all
frequencies, and showed a sharp increase at higher frequencies, which may be attributed to
the increase in the number of charge carriers and their drifted mobility which are thermally
activated. The ac conductivity increases with the increase in frequency and also increases
with increase in Mn concentration in the sample PrFeO3 which is also evident from table III.
The ac conductivity alteration identifies that the conduction mechanism is following the
charge hopping between localized states and the observed results follow small polaron
conduction. Activation energy (Eσ) was calculated from the slope of the curve log ζac vs
1000/T (K-1
) using relation ζ = ζ0 e-Eζ/kT
, where ζ0 is the conductivity at infinite temperature
and k is the Boltzmann‟s constant. The values of Eσ for different doping concentrations are
given in table III. It is seen that the value of activation energy decreases with increase in Mn
doping in the compound PrFeO3. The calculated value of Eσ for the pristine compound
PrFeO3 was slightly smaller than calculated by Bandi et al [38] possibly due to different
preparation method of the samples. The optical band gap Eg was calculated from the curve
between (α . hv)1/2
and E (eV) where α is the absorption coefficient and E is energy in
electron volts (figure not shown). The compositional values of Eg are shown in table III. And
it is clear that the optical band gap decreases with increase in Mn doping resulting in increase
in conductivity with Mn doping. Hence the optical results are in consistent with other
dielectric results.
4. Conclusion
Polycrystalline bulk compounds of Mn doped PrFeO3 were synthesized by solid state
reaction technique. The substitution of Mn for Fe ions results significant changes in the
physical properties of compound. The inclusion of Mn clearly brings a distortion in the
sample which is clearly reflected in XRD and Raman study. The results of dielectric study
clearly show there is improvement in electrical properties especially at higher doping and the
dielectric constant can be sensitively controlled by Mn substitution. The higher dielectric
constant and higher ac conductivity led the material suitable for power application as these
may enable device miniaturization. Optical band gap of the compound was also seen to
decrease with Mn doping resulting in increase in conductivity in the compound. The ac
conductivity alteration identifies that the conduction mechanism is following the charge
hopping between localized states and follow the small polaron conduction. The present
investigation clearly indicates that the physical properties Mn doped PrFeO3 depend on the
amount of doping and consequently on the charge state occupied by Fe and Mn ions.
Acknowledgements
We thank Dr. A. Singh, Department of Physics, Guru Nanak Dev University,
Amritsar for the necessary scientific discussions and IUAC-New Delhi for providing the
necessary experimental facilities and funding.
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Table and Figure captions:
Table-I. The lattice parameters, interplanar spacing and the unit-cell volume for different
compositions of PrFe1- xMnxO3 (x = 0.0, 0.1, 0.3, 0.5)
Table-II. The observed Raman modes with corresponding atomic motion for PrFeO3.
Table-III. The dielectric constant ε' (at various frequencies), ac Conductivity σac, activation
energy Eσ and optical band gap Eg for different compositions of PrFe1- xMnxO3 (x = 0.0, 0.1,
0.3, 0.5)
Fig.1. XRD pattern of PrFe1- xMnxO3 samples for (a) x = 0.0, (b) x = 0.1, (c) x = 0.3, (d) x =
0.5 with the inset showing shifting of (112) peak.
Fig.2. Variation of lattice constants a, b and c/√2 against Mn concentration for the
compound PrFe1- xMnxO3 (x = 0.0, 0.1, 0.3, 0.5).
Fig.3. Raman spectra of PrFe1- xMnxO3 samples for (a) x = 0.0, (b) x = 0.1, (c) x = 0.3, (d) x =
0.5. Inset shows shifting of B1g mode to higher wave no. region with increase in doping)
Fig.4. The variation of dielectric constant with frequency of PrFe1- xMnxO3 samples for (a)
x = 0.0, (b) x = 0.1, (c) x = 0.3, (d) x = 0.5 at room temperature.
Fig.5. Variation of dielectric constant with temperature at selected frequencies of PrFe1-
xMnxO3 samples for (a) x = 0.0, (b) x = 0.1, (c) x = 0.3, (d) x = 0.5
Fig.6. Variation of dielectric loss with temperature at selected frequencies of PrFe1-
xMnxO3 samples for (a) x = 0.0, (b) x = 0.1, (c) x = 0.3, (d) x = 0.5with the inset showing
typical relaxor behavior.
Fig.7. Variation of ac conductivity with temperature at selected frequencies of PrFe1-
xMnxO3 samples for (a) x = 0.0, (b) x = 0.1, (c) x = 0.3, (d) x = 0.5
Fig.8. The variation of ac conductivity with frequency of PrFe1- xMnxO3 samples for (a) x
= 0.0, (b) x = 0.1, (c) x = 0.3, (d) x = 0.5 at room temperature.
TABLE-I.
Sample a(Å) b (Å) C (Å) Volume (Å) d (Å)
x = 0 5.486 5.581 7.857 240.56 2.756
x = 0.1 5.482 5.587 7.838 240.06 2.756
x = 0.3 5.476 5.599 7.801 239.18 2.752
x = 0.5 5.465 5.613 7.765 238.19 2.747
TABLE -II.
Symmetry NdFeO3 [26] Observed mode in present Main atomic position
case PrFeO3 (cm-1
)
___________________________________________________________________________
B1g(1) 643 629 Fe-O,stretching, breathing
B1g(2) 464 457 O-Fe-O, rotation, bending
B1g(3) 432 432 FeO6, stretching, rotation
B1g(4) 345 333 FeO6, stretching, bending
B1g(5) 295 288 FeO6, bending, breathing
TABLE -III.
Composition ε' ε' ε' ζac (ohm-1
cm-1)
E ζ (eV) Eg(eV)
(20 Hz) (0.2 MHz) (1 MHz) (300K, 20 Hz)
X=0.0 103
354 332 3.5 x 10-7
0.20 3.39
X=0.1 6.68 x 103
411 401 6.57 x 10-5
0.17 2.91
X=0.3 6.22 x 104
454 398 1.14 x 10-2
0.13 2.76
X=0.5 9.32 x 106
7650 4251 2.92 x 10-1
0.067 2.53