Multiferroicity in Sol-Gel Synthesized SR/MN Co-Doped Bifeo Nanoparticles
Multiferroicity in Sol-Gel Synthesized SR/MN Co-Doped Bifeo Nanoparticles
DOI 10.1007/s10854-017-7654-3
Received: 22 June 2017 / Accepted: 3 August 2017 / Published online: 7 August 2017
© Springer Science+Business Media, LLC 2017
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Vol:.(1234567890)
J Mater Sci: Mater Electron (2017) 28:17234–17244                                                                           17235
perovskite cube with lattice constants, ahex = bhex = 5.58 Å        urea (CO(NH2)2) were taken as chelating agents to initiate,
and chex = 13.90 Å. In BFO, B     i3+ lone pair is responsible     swift and complete the combustion process to purify the
for polarization while magnetization comes from F       e3+ site   final product. As, bismuth nitrate is less soluble in deion-
[3, 8]. The commercial applications of BFO are hampered             ized water, so it was dissolved separately in H NO3 having
mainly because of some foremost flaws associated with               molarity 3M with continuous stirring until a transparent
this material such as (i) impurity phases owing to narrow           solution was formed. The other reagents were dissolved in
temperature ranges in which BFO stabilizes, (ii) very lossy         deionized water using another beaker. After mixing the two
polarization versus electric field loops because of high leak-      solutions, the specific amounts of urea and glycine were
age current density and huge electrical losses, mainly due          added into it. The mixture was put on a hot plate at 85 °C
to highly volatile nature of Bi, multiple ionic states of Fe        with continuous stirring using a magnetic capsule until a
and oxygen related defects (iii) low saturation magnetiza-          dark viscous resign was formed. Immediately after the gel
tion caused by G-type antiferromagnetic spiral spin structure       was formed, the temperature was raised up to 350 °C. The
and (iv) very poor linear magneto-electric coupling at RT           process of auto-ignition was initiated as a result of this
[2, 3, 5, 8, 9]. In order to solve these problems, research is      increasing temperature and the presence of chelating agents
being done on various frameworks including single or co-            in the precursor. Numerous gases were liberated because of
doping in BFO with suitable dopants and synthesis of this           intense exothermic reactions involved during the process of
material in various forms (ceramics, films, nano) [10], using       combustion. The final fluffy residue was grinded to get fine
different preparation methods. Leakage current problems             powder using a mortar and pestle, and calcined at 550 °C
can be controlled by synthesizing denser and impurity free          for 3 h using a muffle furnace. The flow chart describing the
BFO nanoparticles [3]. Spiral spin structure can be broken          present technique to synthesize Sr and Mn co-doped BFO
to enhance magnetization by controlling the particle size           fine NPs is shown in Fig. 1. An Apex hydraulic press was
<62 nm (wavelength of helimagnetic order of BFO) [11, 12].          used to make pellets from powder by applying a force of
Improved MF properties are reported in literature by single         4 tons using a steel dye of 10 mm diameter. The pellets were
and co-doping of various rare earth and transition metal ions       sintered at 400 °C for 1 h. A Rigaku D/MAX-IIA X-ray dif-
at A or B or both at A and B sites in pure BFO [13–23].             fractometer (XRD) with CuKα radiation (λ = 1.5406 Å) was
   For present communication, on the basis of literature            used to confirm phase purity and to find out other structural
survey, Sr and Mn as A and B site dopants in BFO have               parameters of the prepared compositions. A Nova-Nano
been selected to see their effects especially on magnetic           SEM 450-field emission scanning electron microscope
and ferroelectric behaviors in order to explore the multi-          (FESEM) equipped with energy dispersive X-ray spec-
ferroic properties of this sole ME MF at RT. It has been            troscopy (EDX) was employed in order to investigate the
proclaimed by many authors that both Mn and Sr are suit-            microstructural features of the samples to be characterized.
able candidates to improve multifunctional characteristics          A 7404-Lakeshore vibrating sample magnetometer (VSM)
of BFO system [24–28]. Numerous methods are adopted to              was used to examine the magnetic properties. Ferroelectric
prepare this material, for instance; sol–gel auto-combustion        properties were investigated using a precision multiferroic
technique [8], high-energy ball-milling method [14], mixed          tester (Radiant technologies Inc., USA). Fourier transform
oxides synthesis such as solid state reaction method [15],          infrared spectroscopy (FTIR) was performed using Agilent
hydrothermal method [18], co-precipitation [29] and sono-           technologies Cary 630 FTIR.
chemical/microemulsion technique [30]. Being simple, low
energy consumer, vacuum free and cost effective, a sol–gel
auto-combustion technique has been employed to synthesize           3 Results and discussion
the samples for the present research work.
                                                                    The Rietveld’s whole-profile fitting method was employed
                                                                    for the refinement of fine BFO NPs using X’pert Highscore
2 Experimental details                                             plus software [31]. XRD patterns of the parent and the doped
                                                                    BFO samples were refined primarily using space group R3c
A familiar sol–gel auto-combustion technique was utilized to        (161). Both the structural (unit cell parameters, atomic posi-
synthesize Sr and Mn doped BFO nanoparticles (NPs) with             tions) and micro structural parameters (crystallite size) have
composition, Bi0.9Sr0.1Fe1−xMnxO3 (x = 0, 0.05, 0.10, 0.15         been refined simultaneously [32]. A comprehensive explana-
and 0.20). Bismuth nitrate [Bi(NO3)2·5H2O, Sigma-Aldrich,           tion about the mathematical techniques applied in the Riet-
99.9%], iron nitrate [Fe(NO 3) 3·9H 2O, Merck, 99.9%],              veld study can be found in literature [33, 34]. The Rietveld’s
strontium nitrate [Sr(NO3)2, Merck, 99.9%] and manga-               refined XRD patterns along with their difference plots, for
nese nitrate [Mn(NO3)2·4H2O, Merck, 99.9%] were the raw             all the doped samples calcined at 550 °C, were matched well
materials used as reactants. Glycine ( NH2CH2COOH) and             with crystallographic information file (CIF) #1001090 and
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17236                                                                                   J Mater Sci: Mater Electron (2017) 28:17234–17244
                      Solution1                                                                  Solution2
                                                         Mixed Solutions +
                                                          Urea + Glycine
Viscous Gel
                                                        Auto-Combustion at
                                                              350 °C
Final Powder
Characterization
Fig. 1 Flow chart of sol–gel auto-combustion technique to synthesize Sr/Mn doped BFO NPs
are shown in Fig. 2a–e. It is evident from the refined XRD               to the difference in the ionic radii of Fe3+ (0.645 Å) and
patterns and their corresponding difference plots, that there           Mn4+ (0.53 Å). The c/a ratio increases quite slightly without
is no impurity phase present in both the parent and the doped            exceeding the limit required to distort the crystal symmetry.
samples. This confirmed the synthesis of impurity free BFO               This confirmed the doping of Sr and Mn at Bi and Fe sites,
NPs adopting a rhombohedrally distorted ABO3 type per-                  respectively in BFO without affecting the crystalline struc-
ovskite structure with space group R3c. All the simulated                ture of the parent compound [8]. The contraction in unit cell
XRD patterns coincide well with the measured XRD pat-                    volume is the result of decreasing unit cell parameters with
terns with generally small R-values which also confirms the              Mn contents. X-ray densities of all the samples demonstrate
phase purity. Both the structural and microstructural param-             that Bi0.9Sr0.1Fe0.85Mn0.15O3 is the densest composition. The
eters including, unit cell lattice constants (a, c), unit cell vol-     crystallite size of the samples exhibited an increasing trend
ume (V), crystallite size (D), the residuals for the weighted           with Mn substitution in BFO. Table 3 shows the important
pattern (Rwp), the pattern (Rp), the expected pattern (RExp),           bond angles as well as bond lengths exhibited by all the pre-
structure factor (RF), Braggs factor (RBragg), goodness of fit          pared samples. There is a close relation between the Fe–O
(GoF), density (ρ), and Wyckoff positions calculated from               bond length and ferroelectric properties. BFO comprises a
Rietveld’s refined XRD patterns of B      i0.9Sr0.1Fe1−xMnxO3          network of oxygen octahedra (FeO6) in which Fe3+ ions are
(x = 0, 0.05, 0.10, 0.15 and 0.20) NPs are summarized in                located inside the octahedra while Bi3+ ions fill in between
Tables 1 and 2. The smaller values of Rwp, Rp and GoF                   the cavities. For R3c crystal structure, the octahedral bond is
prove that the best fits are seen between the measured and              composed of three short degenerate Fe–O bond lengths and
the simulated parameters of XRD patterns. The increasing                three long degenerate Fe–O bond lengths. By substituting Sr
or decreasing trends of various parameters with increasing              in place of Bi in BFO, F  eO6 is distorted which alters both the
Mn contents in Bi0.9Sr0.1Fe1−xMnxO3 (x = 0, 0.05, 0.10, 0.15            bond lengths as well as bond angles. The ferroelectricity in
and 0.20) NPs are shown in Fig. 3. The reduction in unit                 BFO is attributed to the chemically active 6s2 lone pairs of
cell parameters (a & c) with Mn contents may be attributed               electrons on the Bi3+ ions. Systematic doping of a larger Sr2+
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J Mater Sci: Mater Electron (2017) 28:17234–17244                                                                                      17237
Fig. 2 Rietveld’s refined XRD patterns of Bi0.9Sr0.1Fe1−xMnxO3 with a x = 0.0, b x = 0.05, c x = 0.10, d x = 0.15 and e x = 0.20
                                                                            ion (ionic radius 1.18 Å) at the smaller Bi3+ site (ionic radius
                                                                            1.03 Å) will distort the crystal in many ways. Firstly, it will
Table 1  Rietveld’s      refined      structural    parameters       of
                                                                            distort the cationic spacing between the octahedron which
Bi0.9Sr0.1Fe1−xMnxO3 (x = 0, 0.05, 0.10, 0.15 and 0.20) crystal struc-     will initiate the octahedral rotation. Secondly, the long range
 ture                                                                       ferroelectric order due to the available lone pairs would also
Parameters     x = 0.00    x = 0.05    x = 0.10   x = 0.15    x = 0.20
                                                                            alter. Finally, the cationic imbalance due to S    r2+ will also
                                                                                           3+                   4+
                                                                            affect the F
                                                                                        e ions to shift to Fe ions [32]. This transition
a = b (Å)      5.6006      5.5869      5.5732     5.5556      5.5384        will cause the magnetic parameters to be affected.
c (Å)          13.8748     13.8118     13.7846    13.7661     13.7539          The bond formation between different atoms within a
c/a            2.4774      2.4722      2.4734     2.4778      2.4833        material can be identified by using infrared spectroscopy.
α=β            90          90          90         90          90            FTIR spectra recorded at RT for B i 0.9Sr 0.1Fe 1−xMn xO 3
  (degree)
                                                                            (x = 0, 0.05, 0.10, 0.15 and 0.20) NPs using urea and glycine
γ (degree)     120         120         120        120         120
                                                                            as chelating agents are depicted in Fig. 4a–e. The spectra
V (Å3)         375.2761    373.3594    370.8008   367.2996    364.4236
                                                                            exhibit some distinct bands. It was found in literature that
D (nm)         12.37       17.24       19.23      23.10       25.00
                                                                            the peaks appearing in FTIR spectra from 400 to 700/cm
RBragg         14.17       16.58       17.8       10.17       3.46
                                                                            ascribed the formation of metal oxides [35], so the band
RExp           25.46985    19.70068    19.18507   12.52139    2.3554
                                                                            appearing at 650/cm in the present FTIR spectra may be
Rp             22.088      25.83904    26.24969   14.07204    3.42516
                                                                            attributed to the bending modes of vibrations metal oxides
Rwp            33.63634    38.69282    40.61788   20.65102    4.74861
                                                                            (Bi–O or Fe–O) and thus confirm the formation of perovs-
GoF            1.74404     3.85743     4.88237    2.72006     4.06447
                                                                            kite structure [36–38]. The peaks between 800 and 1000
Dstats         0.028       0.00389     0.00556    0.01662     0.022621
                                                                            (810)/cm correspond to the metal–oxygen band (Fe–O) that
Wt. Dstats     0.07396     0.0176      0.0181     0.02799     0.25583
                                                                            may be credited to the developing of highly crystalline BFO
ρ (g/cm3)      7.89        7.92        8.02       8.38        7.95
                                                                            R3c phase [39, 40]. The absorption peaks at around 1040/
                                                                                                                                     13
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Fig. 3  a Unit cell lattice param-     (a) 5.61                                                                                                                               (b) 376
eters (a and c) as a function of                                                                                                  a    13.88                                                                                                                  V            2.484
Mn contents, b unit cell volume                                   5.60                                                            c                                                                    374                                                    c/a
                                                                                                                                                                            Unit cell volume, V (Å3)
                                                                                                                                       13.86
                                                                                                                                                 Lattice parameter, c (Å)
                                       Lattice parameter, a (Å)
                                                                                                                                                                                                                                                                    c/a
                                                                  5.56                                                                 13.80                                                           368                                                                 2.476
                                                                  5.55                                                                 13.78
                                                                                                                                                                                                       366                                                                 2.474
                                                                  5.54                                                                 13.76
                                                                                                                                                                                                       364                                                                 2.472
                                                                  5.53                                                                 13.74
                                                                         0.00    0.05      0.10   0.15                       0.20                                                                            0.00      0.05   0.10   0.15                           0.20
                                                                                        Mn contents                                                                                                                        Mn contents
                                                                                                (c)
                                                                                                                     8.4                                                                                                 26
                                                                                                                                  Density
                                                                                                                                  Crystallite size
                                                                                                                                                                                                                         24
                                                                                             X-ray density (g/cm )
                                                                                                                     8.3
                                                                                             3
                                                                                                                                                                                                                         22
                                                                                                                     8.2                                                                                                 20
                                                                                                                     8.1                                                                                                 18
                                                                                                                                                                                                                         16
                                                                                                                     8.0
                                                                                                                                                                                                                         14
                                                                                                                     7.9                                                                                                 12
                                                                                                                           0.00       0.05       0.10   0.15                                                    0.20
                                                                                                                                              Mn contents
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Table 3  Bond types and bond lengths of   Bi0.9Sr0.1Fe1−xMnxO3                        the existence of slight quantity of carbonaceous ingredients
(x = 0, 0.05, 0.10, 0.15 and 0.20) samples                                             that may have left after the combustion of fuel. The peaks
Composition                                Bond type                 Bond length (Å)   between 3100 and 3600 (3216, 3410)/cm may be attributed
                                                                                       to the anti-symmetric and symmetric stretching of H    2O and
x = 0.00                                   Bi/Sr1–O1                 2.33
                                                                                       OH bond groups. Depending on arrangement and number
                                           Bi/Sr–Fe                  3.058
                                                                                       of H atoms absorbed by BFO, the O–H bond vibrations in
                                           Fe–O1                     1.940
                                                                                       BFO lie in the range of 3110–3650/cm. Water molecules
x = 0.05                                   Bi/Sr–Fe/Mn               3.037
                                                                                       and hydroxyl ions are generally identified as residue in the
                                           Bi/Sr–O                   2.298
                                                                                       as burnt compositions and therefore, additionally heat treat-
                                           Fe/Mn–O                   1.931
                                                                                       ment is essential in order to eliminate them [36, 38, 39]. The
x = 0.10                                   Bi/Sr–Fe/Mn               3.043
                                                                                       varying nano sized grains present in different samples are
                                           Bi/Sr–O                   3.193
                                                                                       responsible for a slight shift in the absorption active modes
                                           Fe/Mn–O                   1.930
                                                                                       for different compositions [36]. It is concluded that after the
x = 0.15                                   Bi/Sr–Fe/Mn               3.056
                                                                                       completion of auto-combustion reaction, the main compo-
                                           Bi/Sr–O                   2.307
                                                                                       nents present in the final powder are metal oxides with very
                                           Fe/Mn–O                   1.936
                                                                                       small quantity of unreacted organic compounds. Thus, FTIR
x = 0.20                                   Bi/Sr–Fe/Mn               3.310
                                                                                       spectroscopy may be beneficial to identify minor impurities
                                           Bi/Sr–O                   2.311
                                                                                       in the final product which cannot be detected by XRD.
                                           Fe/Mn–O                   1.930
                                                                                          The properties of materials are strongly influenced by
                                                                                       their microstructures. Surface morphology includes the
                                                                                       growth and shapes of grains, and grain boundaries, voids,
                100                                                                    defects, and porosity etc. Improved crystallinity with Mn
                                                                                       substitution in the parent compound can be judged by ana-
                     90                                                                lyzing all the SEM images of Bi0.9Sr0.1Fe1−xMnxO3 (x = 0,
 Transmittance (%)
                     80                                                       (e)      0.05, 0.10, 0.15 and 0.20) NPs shown in a previous report
                                                                              (b)      [8]. RT SEM image, obtained at a magnification of 50k for
                             810
                     70                                                        (d)     x = 0.20 composition displayed in Fig. 5a, depicted well
                                 1040          1638
                                                      2108
                                                                                       shaped and uniformly distributed NPs as compared to all
                     60                                  2360                 (c)
                           660
                                                                              (a)      the other SEM images for x = 0, 0.05, 0.10, 0.15 composi-
                                                                       3650
                     50                                             3410
                                                                                       tions [8]. It was necessary to show here at least one SEM
                                                                3216
                                                                                       image because the magnetic and ferroelectric properties of
                     40                                                                the samples under test in the present communication had
                                                                                       been explained on the basis of sizes of nanoparticles exhib-
                     30                 1350                                           ited by the SEM image. The microstructure is examined
                          500 1000 1500 2000 2500 3000 3500 4000 4500                  by clusters of submicron sizes embedded by multifarious
                                          Wavenumber (cm-1)                            grains. A correlation between the Sr/Mn doping contents and
                                                                                       grain sizes can be pinpointed. Homogeneous microstructure
Fig. 4  RT FTIR spectra for Bi0.9Sr0.1Fe1−xMnxO3 with (a) x = 0.0,                    with uniformly distributed multi-shaped grains with varying
(b) x = 0.05, (c) x = 0.10, (d) x = 0.15 and (e) x = 0.20                              sizes can be clearly seen from the micrograph of the sample
                                                                                       with x = 0.20 (Fig. 5a). At the same time, porosity increases
                                                                                       as numerous smaller holes can be observed on the surface of
cm may be attributed to the stretching of C–O bond [41].                               this image, which ultimately will affect the microstructural
The presence of carbonyl group confirms the existence of                               related properties of the parent compound. This decreasing
some extent of bio-organic compounds in the synthesized                                trend of grain sizes can be described in terms of decreased
samples even after the completion of the combustion process                            oxygen vacancies as a result of Sr/Mn co-doping in BFO that
[41]. Some extra steps are needed to remove extra extent of                            can slow down the motion of oxygen ions, resulting in hin-
bio-organic blends. The highly absorptive peaks at around                              dering the grain growth rate [8, 28, 42, 43]. Calculated grain
1350/cm may be ascribed to the presence of traces of trapped                           sizes from this micrograph are in the range of 45–80 nm
nitrate (NO3) groups in BFO [39]. The observed absorption                             which are composed of smaller crystallites with 12–25 nm
peaks at 1638/cm may be the result of bending vibrations                               sizes as can be noted from Rietveld’s refined structural
of water molecules absorbed from the atmosphere due to                                 parameters of Bi0.9Sr0.1Fe1−xMnxO3 (x = 0, 0.05, 0.10, 0.15
enlarged surface area of these materials because of NPs.                               and 0.20) NPs, given in Table 1. Moreover, several voids and
The minor peaks from 1800 to 2400/cm may be assigned to                                pores can be seen on the surface of the micrograph which
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17240                                                                                      J Mater Sci: Mater Electron (2017) 28:17234–17244
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J Mater Sci: Mater Electron (2017) 28:17234–17244                                                                                         17241
Table 4  Magnetization (M), saturation polarization       (Ps), coer-     divalent cation such as S  r2+ always requires the mechanism
cive electric field   (Ec) and remanence polarization        (Pr) of     of charge compensation resulting in the conversion of Fe3+
Bi0.9Sr0.1Fe1−xMnxO3 (x = 0, 0.05, 0.10, 0.15 and 0.20) NPs
                                                                           to Fe4+ cations or the formation of oxygen vacancies. The
Sample              M (emu/g) Ps (μC/cm2) Ec (volt) Pr ((μC/cm2)           observed net magnetization may be the result of statistical
                                                                           distribution of Fe3+ and F  e4+ cations in the octahedral [13,
Bi0.9Sr0.1FeO3      0.172       2.15 × 10− 4    2.62     3.67 × 10− 5
                                                                           20, 25]. (iv) Sr and Mn substitution in BFO may alter both
Bi0.9Sr0.1Fe0.95M   0.173       2.11 × 10− 4    2.80     3.55 × 10− 5
 n0.05O3                                                                   the bond length as well as bond angle which can modify the
Bi0.9Sr0.1Fe0.90M   0.334       2.89 × 10− 4   10.01     1.80 × 10− 5      tilting angle of F eO6 octahedron resulting in suppression
 n0.10O3                                                                   of spiral spin structure and activate magnetic behavior [16,
Bi0.9Sr0.1Fe0.85M   1.121       2.59 × 10− 4    6.56     1.04 × 10− 4      26]. (v) The spin canting arise from Dzyaloshinsky–Moriya
 n0.15O3                                                                   interaction in the orthorhombic phases may be another rea-
Bi0.9Sr0.1Fe0.80M   0.6         2.59 × 10− 4    4.53     4.66 × 10− 5      son for heightened magnetic response shown by Sr/Mn
 n0.20O3
                                                                           doped BFO ceramics [22, 53].
                                                                               The properties of a ferroelectric material are usually
                                                                           examined by a polarization versus electric field (P-E) loop.
suggested by Basu et al. [51] that B iFe1−xMnxO3 shows ferro              The P-E hysteresis loops of Bi0.9Sr0.1Fe1−xMnxO3 (x = 0,
or ferri magnetic response as a result of decreased particle               0.05, 0.10, 0.15 and 0.20) NPs, traced at RT are presented
size. It is also asserted by many authors that distortion in               in Fig. 7. Almost all of the P-E loops are unsaturated and
spiral spin structure of BFO increases with Mn contents due                broken which may be attributed to the high coercive field as
to decreasing grain size which caused conversion of G-type                 well as high leakage current and are in consistent with the
helical structure to linear structure resulting in enhanced                results discussed in literature [18, 26, 54]. It was reported by
magnetic characteristics [51, 52]. The observed M in the                   Tang et al. [18] that higher voltage cannot be applied to get
present samples could also be the result of size-confinement               saturated P-E loops for BFO because these ceramics will be
effects as most of the grains in the present samples have                  electrically broken down in the high electric field region due
sizes less than 62 nm which can be seen from SEM image.                    to high leakage current. It was also asserted by Mukherjee
Thus, the magnetic parameters are in consistent with the par-              et al. [23] and that like real ferroelectrics, it is very hard
ticle sizes of the samples. Enhancement in magnetic behav-                 to obtain RT saturated P-E loops at higher electric field in
ior due to particle size effects has been reported in literature           case of BFO system due to occurrence of break down volt-
                                                      e3+ by a
[11, 12]. (iii) Replacing a trivalent cation such as F                     age because of high leakage current due to low resistivity
                                                                                                                                     13
17242                                                                                                               J Mater Sci: Mater Electron (2017) 28:17234–17244
                                                                                                          0.00012
                  300.0µ        x= 0.00                                                                                                                      1.2
                                                                                                                              P
                                x= 0.05
                                                                                                                                                                   Magnetization, M (emu/g)
                                                                                Polarization, P(µC/cm2)
                                                                                                                              M
                  200.0µ       x= 0.10                                                                    0.00010
                               x= 0.15
                                                                                                                                                             1.0
                  100.0µ       x= 0.20                                                                    0.00008                                            0.8
     P (µC/cm2)
                      0.0
                                                                                                          0.00006                                            0.6
                  -100.0µ
                                                                                                                                                             0.4
                                                                                                          0.00004
                  -200.0µ
                                                                                                                                                             0.2
                  -300.0µ                                                                                 0.00002
                                                                                                                                                             0.0
                                                                                                                       0.00   0.05      0.10   0.15   0.20
                  -400.0µ
                         -25 -20 -15 -10 -5   0   5 10 15 20 25                                                                      Mn contents
                                          E (kv/cm)
                                                                           Fig. 8  Polarization versus magnetization for Bi0.9Sr0.1 Fe1−xMnxO3
 Fig. 7  Polarization versus electric field (P-E) loops for B i0.9Sr0.1   (x = 0, 0.05, 0.10, 0.15 and 0.20) NPs
Fe1−xMnxO3 (x = 0, 0.05, 0.10, 0.15 and 0.20) NPs taken at RT
13
J Mater Sci: Mater Electron (2017) 28:17234–17244                                                                                     17243
oxygen vacancies that decrease the leakage current density               7. T.S. Tlemçani, T. El Bahraoui, M. Taibi, A. Belayachi, G.
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pair of electrons ( 6s2 orbital) of B
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                                                                            (2008)
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