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Pathan Amjadkhan Noorkhan, Sangshetty Kalayne / International Journal of Engineering
                Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                             Vol. 2, Issue 4, June-July 2012, pp.681-685
        Synthesis, Characterization Ac Conductivity Of Nickel Ferrite
                 Pathan Amjadkhan Noorkhan1 and Sangshetty Kalayne2*
                  1
                   Department of Physics, Singhania University, Pacheri- Bari, JhunJunnu, Rajasthan
   2
       Department of Physics, Bheemanna Khandre Institute of Technology (REC), Bhalki, Bidar, Karnataka, India.



Abstract
         Nickel ferrites were synthesized by                 involved in the changes caused by the addition of
employing sol gel technique at 6000C sintering               impurities provides information on which the reliable
temperature. The prepared samples were                       formulation of ferrites suitable for specific
characterized by XRD for structural analysis                 applications can be based.
indicates that the percentage of iron ions in B site                   Ceramic method [4, 5] for the preparation of
increases, the intensity of the (222) peak increases.        ferrites places certain limitations such as, requirement
This indicates that the structural changes of the            of relatively high firing temperature and more time
NiFe3O4, arise from the shifting of ions between A           which may cause the evaporation of certain elements
and B sites. The morphology was studies using                like Zn [6] leading to the formation of chemically
SEM and found that morphology is more favorable              inhomogeneous material [7]. In case of Ni Zn ferrites,
for charge transportation in ferrites. The nickel            zinc volatilization at high temperature increases the
ferrite (NiFe3O4) shows high σac conductivity due to         electron hopping and reduces resistivity [8, 9]. During
dipole polarization. The high value of dielectric            milling and grinding, there may be a loss of some
constant of the sample NiFe3O4 is because of                 material, which leads to nonstoichiometry in the final
structural changes associated with the nickel ferrite        product [10]. Also the ferrites prepared by ceramic
when the grain size is reduced to nanometer order.           method have the larger particle size and low density.
                                                             Chemical method overcomes these limitations of
Key words: Nickel ferrite, X-ray diffraction, Ac             ceramic method and makes it possible to prepare the
conductivity, dielectric constant.                           homogeneous, dense and smaller particle size ferrite
                                                             [11, 12].
Introduction                                                           Among the spinel type ferrites, nickel ferrite
          Mixed nickel ferrites having high Curie            is a suitable material for microwave applications [13].
temperature and different magnetization form an              It is noted for its high Curie temperature and good
important class of magnetic materials used in many           temperature stability of saturation magnetization [14].
technological applications [1]. Those characteristics                  The properties of nanoparticles are interesting
are in close connection with the magnetic structure,         due to the presence of very large and highly disordered
which is dependent on the magnetic cations, their            grain boundaries. Because of the peculiarities of the
distribution and concentration. Ni–Zn ferrites, which        grain boundaries nanomaterials exhibit unusual and/or
have a high resistivity and low eddy current loss, are       enhanced dielectric properties. In this present paper
used in high frequency and pulse field applications.         authors report the synthesis, characterization, ac
This system has a cubic spinel crystal structure with        conductivity and dielectric properties of nickel ferrite.
the unit cell consisting of eight formula units of the
form Znx 2+Fe1−x 3+[Ni1−x 2+Fe1+x 3+]O4 2−. The 32           Experimental
oxygen anions per unit cell form a face centered cubic                All Chemicals used were analytical grade
cage, while the metallic cations occupy interstices.         (AR). The nickel chloride (purity 99.99%) and
The metallic cations outside the bracket occupy the          dehydrated ferric chloride were procured and were
tetrahedral sites (A-sites) comprising tetrahedral           used as received.
sublattice while those metallic cationsenclosed by the
bracket occupy octahedral sites (B-sites) comprising                  Nickel chloride and ferric chloride are mixed
the octahedral sublattice [2-3]. The properties of           in calculated stoichiometric with oxalic acid in
ferrites are very sensitive to the method of preparation     equimolar ratio so as to form nickel ferric oxalate
and the amount and type of substitution. The addition        precursor. The precursor is then filtered and dried at
of impurities induces changes in the defect structure        500C to achieve constant weight. The precursor is
and texture of the crystal. An understanding of the          mixed with polyethylene glycol (PEG) in the ratio 1:5
mechanisms                                                   and is ignited. The combustion propagates throughout
                                                             the precursor. After completion of combustion nickel
                                                                                                      681 | P a g e
Pathan Amjadkhan Noorkhan, Sangshetty Kalayne / International Journal of Engineering
             Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                          Vol. 2, Issue 4, June-July 2012, pp.681-685
ferrite (NiFe3O4) is formed. The nickel ferrite is           from the full width at half maximum (FWHM) values
sonicated in acetone media for 20min and then                of (311) reflection of the X-ray diffraction using
calcinated at 6000C to remove the impurities. Finally,       Scherrer’s equation (Klug and Alexander 1954).
fine graded nanosized nickel ferrite particles are
formed.

         The pellets of 10 mm diameter are prepared
with thickness varying up to 2 mm by applying
pressure of 10 Tons in a UTM – 40 ( 40 Ton Universal
testing machine). For temperature dependent
conductivity and sensor studies, the pellets are coated
with silver paste on either side of the surfaces to obtain
better contacts.

The X-ray diffraction (XRD) pattern of the NiFe3O4
was recorded at room temperature by employing an x-
ray powder diffractometer (Rigaku Miniflex) with
CuK radiation (=1.5405A0) in the 2      (Bragg
angles) range (20≤ 2 ≤100) at a scan speed of 0.50          Figure 1. Shows the XRD pattern of NiFe3O4 at 600oC
minute-1.                                                                    sintering temperature

        The percentage transmittances for the entire         Figure 1show the XRD pattern of NiFe3O4 at 600oC
sample are measured from 300 to 4000 cm−1. The               sintering temperature. It was reported that nickel
SEM images of polyaniline cadmium oxide                      ferrite deviates from its inverse spinel structure with
composites were recorded using Philips XL-30                 the reduction in grain size by Ponpandian et al. When
(ESEM) scanning electron microscopy. The set up              the grain size of nickel ferrite is reduced to nanometer
used for measuring ac conductivity is Hioki 3050             order, some percentage of nickel ions get shifted from
impedance analyzer, which is in turn interfaced to the       B site to A site at the same time shifting an equal
computer.                                                    number of iron ions from A to B site. The percentage
                                                             of iron ions in B site increases with the reduction in
Results and discussion                                       grain size. This shifting of ions causes changes in
          An analysis of the dielectric properties of the    XRD pattern also. As the percentage of iron ions in B
NiFe3O4 has been carried out using impedance                 site increases, the intensity of the (222) peak increases.
spectroscopy on application of a small a. c. signal          This indicates that the structural changes of the
across the sample cell with blocking electrode               NiFe3O4, arise from the shifting of ions between A and
(stainless steel). Complex impedance parameters (i.e.,       B sites. This shifting of ions is assumed to be
capacitance, dissipation factor, impedance, phase            prominent near the surface layers. Because the
angles parameters) were measured with a computer-            arrangement of ions in the core region of nanoparticles
controlled impedance analyzer (HIOKI LCR Hi-                 is identical with that in bulk crystals, while the altered
Tester, Model: 3532, Japan). A. C. conductivity has          structure due to the reduction in the size is confined to
been evaluated from dielectric data in accordance with       surface layers. As the size of a particle is reduced the
the relation:                                                surface to volume ratio increases and the number of
                                 ac = 0rtan             iron ions in B sites increases.
          where r = C/C0 is the relative permittivity,
tan= tangent loss factor, C = vacuum capacitance
                               0
of the cell. The real and imaginary part of permittivity
and modulus was calculated from the relation

          Figure 1 shows the XRD patterns of NiFe3O4
at600oC sintering temperature. The peaks in the
spectra agreed closely with the data in the ICDD file
(card number 10-325) for NiXFeX-1O4 indicating that
the samples synthesized were nickel ferrite. The
diffraction pattern of the samples showed broad peaks
when compared with the bulk nickel ferrite. The
average grain sizes of the particles were calculated
                                                                                                      682 | P a g e
Pathan Amjadkhan Noorkhan, Sangshetty Kalayne / International Journal of Engineering
             Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                          Vol. 2, Issue 4, June-July 2012, pp.681-685
Scanning Electron Microscope (SEM)                                  The ac conductivity ac was determined using
                                                            the formula

                                                                                       1
                                                                            ac =                                       (3)
                                                                                      ac
                                                                      When field is applied to a dielectric, the
                                                            polarization of the dielectric takes place.       The
                                                            dielectric displacement found in a dielectric material
                                                            when subjected to an alternating field (E) is not in
                                                            phase. Hence the dielectric constant is a complex
                                                            quantity and is expressed as

                                                                            * =  + i                               (4)

                                                                     where  is the real part (denoted as r for our
Figure 2. Shows that the SEM image of NiXFeX-1O4 at         discussions) and  is the imaginary part,
            600oC sintering temperature
                                                                     In the rectangular coordinate system, the real
                                                            and imaginary part of the impedance was calculated by
Figure 2 (a) shows that SEM image of nickel ferrite at
600oC sintering temperature. It is clearly observed         formulae
from the image they are agglomerated, highly
                                                                            Z = |Z | cos                              (5)
branched and porous in nature. The average grain size
was calculated by using line intercept formula and it is             When the complex impedance plane plots
found to be 0.21µm.                                         were obtained, where a semicircle, is obtained the
                                                            relaxation time was calculated using the relation =1.
AC Conductivity
         Using the values of equivalent parallel                              -4
capacitance (Cp), dissipation factor (D), phase angle                    1.0x10
(δ) and parallel equivalent resistance (Rp) that are                                NiFe3O4
recorded by the LCR meter at selected frequency                               -5
range (f), the ac conductivity (ζac), dielectric constant                8.0x10
(ε΄) and dielectric loss (tan δ) parameters have been
calculated [15].
                                                                              -5
The resistance ac of the samples was found by using                     6.0x10
the equation.
                                                              ac S/cm




                                                                              -5
     R x A                                                               4.0x10
ac = P                                       (1)
        t
                                                                              -5
         Where Rp, the resistance of the sample is                       2.0x10
given by,
                                                                             0.0
Rp = Z    1  tan  2                       (2)
                                                                                        2      3         4          5         6
         The a.c conductivity is frequency and                                        10      10       10       10       10
temperature dependent entity.     The electrical                                                   Frequency (Hz)
conduction is a thermally activated process and
follows the Arrhenious law
                                                             Figure 3. Shows the variation of ζac of NiFe3O4 as a
            ac = 0 e     where ac conductivity, 0
                      -Ea/KT                                               function of frequency.
is pre exponential factor, Ea is the activation energy
and K is Boltzmann constant.

                                                                                                                    683 | P a g e
Pathan Amjadkhan Noorkhan, Sangshetty Kalayne / International Journal of Engineering
             Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                          Vol. 2, Issue 4, June-July 2012, pp.681-685
Figure 3 shows the variation of ζac of NiFe3O4, as a
function of frequency. The conductivity of nickel            Figure 4 shows the variation real permittivity (') of
ferrites is increases with increase in frequency. The        nickel ferrite of various composition as a function of
nickel ferrite (NiFe3O4) shows ζac conductivity of 1.0 x     logarithmic frequency. It is found that in all these
10-4 S/cm. This is may be attributed to the dipole           nickel ferrite compositions, as frequency increases,
polarization i.e., the rotation of dipoles between two       dielectric constant decreases up to the frequency range
equivalent equilibrium positions is involved. It is the      of 104 Hz and after that it remains constant for further
spontaneous alignment of dipoles in one of the               increasing in frequency. The strong frequency
equilibrium positions that give rise to the nonlinear        dispersion of permittivity is observed in the low
polarization behavior of this composition.                   frequency region followed by a nearly frequency
           This behavior of NiFe3O4 obeys the universal      independent behavior above 10 kHz. It is observed
power law, (ω)= (ω)n (the solid line is the fit
                                                            that Debye type relaxation mechanism is responsible
to the expression), where r0 is the dc conductivity          for higher value of NiFe3O4.
(frequency independent plateau in the low frequency
region), A is the pre-exponential factor, and n is the              0.8                                         tan delta
fractional exponent between 0 and 1 [16]. On
crystallization, the conductivity spectrum remains                  0.7
similar as that of the nickel ferrite except dispersion in
the low frequency region, where the deviation from                  0.6
dc (plateau region) is more prominent. The deviation
                                                                    0.5
from dc (plateau region) value in the conductivity
spectrum (in the low frequency region) is due to the         tan   0.4
electrode polarization effect. The values of , A, and
n were obtained by fitting the (ω) to                              0.3
(ω)= (ω)n. The overall behavior of ac
          
follows the universal dynamic response, which has                   0.2
widely been observed in disordered materials like
ionically conducting glasses and also doped crystalline             0.1
solids, and is generally believed to be reflected in the            0.0
mechanism of charge transport behavior of charge
carriers.                                                                  2        3         4          5       6
                                                                          10     10         10       10         10
                                                                                        Frequency (Hz)
                                                              Figure 5. Shows the variation of dielectric constant as
                                                                       a function of frequency of NiFe3O4

                                                             Figure 5 shows the variation of dielectric constant as a
                                                             function of frequency for NiFe3O4. The high value of
                                                             dielectric constant of the sample NiFe3O4 may be
                                                             explained on the basis of the structural changes
                                                             associated with the nickel ferrite when the grain size is
                                                             reduced to nanometer order. Nickel ferrite crystallizes
                                                             into a cubic close-packed arrangement of oxygen ions.
                                                             It belongs to the class of ferrites with an inverse spinel
                                                             structure having structural formula, Fe3+[Ni2+Fe3+]O4.
                                                             The metal ions given in the square bracket are called
                                                             octahedral (B site) ions and that outside the square
                                                             bracket are called tetrahedral (A site) ions. The nickel
                                                             ions (Ni2+) together with half of the iron ions (Fe3+)
                                                             occupy the B site and the remaining half of the iron
                                                             ions reside in A site. The presence of Ni2+ and Ni3+
                                                             ions gives rise to p-type carriers (holes) whereas Fe2+
                                                             and Fe3+ ions produce n-type carriers (electrons).
 Figure 4. Shows the variation real permittivity (') of     Therefore, both electrons and holes that are present in
       nickel ferrite as a function of frequency.            the B sites are due to the presence of Ni and Fe ions.
                                                                                                         684 | P a g e
Pathan Amjadkhan Noorkhan, Sangshetty Kalayne / International Journal of Engineering
             Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                          Vol. 2, Issue 4, June-July 2012, pp.681-685
Since only iron ions are present in A sites, electrons
are the carriers in A sites. The distance between the        Reference
ions in A sites (0⋅357 nm) is larger than the distance       [1]    D. Vladikova, H. Yonchev, L. Ilkov, S. Karbanov,
between the ions in B site (0⋅292 nm). Also, the                    J. Magn. Magn. Mater. 78 (1989) 420
degree of covalency for the A site ions is higher than       [2]    A.M. El-Sayed, Materials Chemistry and Physics
that of the B site ions. All the above factors result in a          82 (2003) 583–587
high activation energy for the A sites compared to the
                                                             [3]    J . S . Baijal, deepika kothari and sumitra
B sites. Hence, in ordinary nickel ferrite with an
                                                                    phanjoubam, Proceedings of ICF-5 (1989) pp.
inverse spinel structure the electron movement in B                 371.
sites dominates compared to that in A sites.                 [4]    J . Smit, “Magnetic Properties of Materials” (Mc
                                                                    Grow-hill Book Company, New York, 1971).
Conclusion                                                   [5]    K. J . Standley, “Oxide Magnetic Materials”
         Nickel ferrite (NiFe3O4) is prepared by                    (Oxford UK Clarendon, 1972).
employing sol gel technique. XRD studies revels that         [6]    M. I . Rosales, E. Amano, M. P . Cuatle and R.
the percentage of iron ions in B site increases with the            Valenzuela, Mater. Sci. Engng. B49 (1997) 221.
                                                             [7]    K. C. Patil, S . Sunder manoharan and D.
reduction in grain size. This shifting of ions causes
                                                                    Gajpathy, Marcel Deekar 1 (1990) 473.
changes in XRD pattern also. As the percentage of            [8]    A. Verma, T. C. Goel, R. G. Mendiratta and R. G.
iron ions in B site increases, the intensity of the (222)           Gupta, Journal of Magnetism and Magnetic
peak compared to that of the (220) peak increases.                  Materials 192(1999) 271.
From the SEM image, it is observed that the granular         [9]    A. Verma, T. C. Goel, R. G. Mendiratta and P .
size increases with increase in percentage of Ni and                Kishan, ibid. 208 (2000) 13.
sintering temperature. The nickel ferrite shows high         [10]   C. N. R. Rao and J . Gopalkrishnan, “New
ζac conductivity of 1.3 x 10-4 S/cm due to attribution of           Directions in Solid State Chemistry” (Cambridge
the dipole polarization. The high value of dielectric               Univ. Press, (1989).
                                                             [11]   Giannakopoulou         T,    Kompotiatis       L,
constant of the sample NiXFeX-1O4 is because of
                                                                    Kontogeorgakos A and Kordas G 2002 J. Magn.
structural changes associated with the nickel ferrite               Magn. Mater. 246 360
when the grain size is reduced to nanometer order.           [12]   Goldman A 1990 Modern ferrite technology (New
                                                                    York: Van Nostrand Reinhold) p. 71
                                                             [13]   Gopal Reddy C V, Manorama S V and Rao V J
                                                                    1999 Sensors and Actuators B55 90
                                                             [14]   Gotic M, Czako-Nagy I, Popovic S and Music S
                                                                    1998 Philos. Mag. 78 193
                                                             [15]   Green J J, Waugh J S and Healy B J 1964 J. Appl.
                                                                    Phys. 35 1006
                                                             [16]   Han K C, Choi H D, Moon T J and Kim W S 1995
                                                                    J. Mater. Sci. 30 3567




                                                                                                    685 | P a g e

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Dd24681685

  • 1. Pathan Amjadkhan Noorkhan, Sangshetty Kalayne / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 4, June-July 2012, pp.681-685 Synthesis, Characterization Ac Conductivity Of Nickel Ferrite Pathan Amjadkhan Noorkhan1 and Sangshetty Kalayne2* 1 Department of Physics, Singhania University, Pacheri- Bari, JhunJunnu, Rajasthan 2 Department of Physics, Bheemanna Khandre Institute of Technology (REC), Bhalki, Bidar, Karnataka, India. Abstract Nickel ferrites were synthesized by involved in the changes caused by the addition of employing sol gel technique at 6000C sintering impurities provides information on which the reliable temperature. The prepared samples were formulation of ferrites suitable for specific characterized by XRD for structural analysis applications can be based. indicates that the percentage of iron ions in B site Ceramic method [4, 5] for the preparation of increases, the intensity of the (222) peak increases. ferrites places certain limitations such as, requirement This indicates that the structural changes of the of relatively high firing temperature and more time NiFe3O4, arise from the shifting of ions between A which may cause the evaporation of certain elements and B sites. The morphology was studies using like Zn [6] leading to the formation of chemically SEM and found that morphology is more favorable inhomogeneous material [7]. In case of Ni Zn ferrites, for charge transportation in ferrites. The nickel zinc volatilization at high temperature increases the ferrite (NiFe3O4) shows high σac conductivity due to electron hopping and reduces resistivity [8, 9]. During dipole polarization. The high value of dielectric milling and grinding, there may be a loss of some constant of the sample NiFe3O4 is because of material, which leads to nonstoichiometry in the final structural changes associated with the nickel ferrite product [10]. Also the ferrites prepared by ceramic when the grain size is reduced to nanometer order. method have the larger particle size and low density. Chemical method overcomes these limitations of Key words: Nickel ferrite, X-ray diffraction, Ac ceramic method and makes it possible to prepare the conductivity, dielectric constant. homogeneous, dense and smaller particle size ferrite [11, 12]. Introduction Among the spinel type ferrites, nickel ferrite Mixed nickel ferrites having high Curie is a suitable material for microwave applications [13]. temperature and different magnetization form an It is noted for its high Curie temperature and good important class of magnetic materials used in many temperature stability of saturation magnetization [14]. technological applications [1]. Those characteristics The properties of nanoparticles are interesting are in close connection with the magnetic structure, due to the presence of very large and highly disordered which is dependent on the magnetic cations, their grain boundaries. Because of the peculiarities of the distribution and concentration. Ni–Zn ferrites, which grain boundaries nanomaterials exhibit unusual and/or have a high resistivity and low eddy current loss, are enhanced dielectric properties. In this present paper used in high frequency and pulse field applications. authors report the synthesis, characterization, ac This system has a cubic spinel crystal structure with conductivity and dielectric properties of nickel ferrite. the unit cell consisting of eight formula units of the form Znx 2+Fe1−x 3+[Ni1−x 2+Fe1+x 3+]O4 2−. The 32 Experimental oxygen anions per unit cell form a face centered cubic All Chemicals used were analytical grade cage, while the metallic cations occupy interstices. (AR). The nickel chloride (purity 99.99%) and The metallic cations outside the bracket occupy the dehydrated ferric chloride were procured and were tetrahedral sites (A-sites) comprising tetrahedral used as received. sublattice while those metallic cationsenclosed by the bracket occupy octahedral sites (B-sites) comprising Nickel chloride and ferric chloride are mixed the octahedral sublattice [2-3]. The properties of in calculated stoichiometric with oxalic acid in ferrites are very sensitive to the method of preparation equimolar ratio so as to form nickel ferric oxalate and the amount and type of substitution. The addition precursor. The precursor is then filtered and dried at of impurities induces changes in the defect structure 500C to achieve constant weight. The precursor is and texture of the crystal. An understanding of the mixed with polyethylene glycol (PEG) in the ratio 1:5 mechanisms and is ignited. The combustion propagates throughout the precursor. After completion of combustion nickel 681 | P a g e
  • 2. Pathan Amjadkhan Noorkhan, Sangshetty Kalayne / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 4, June-July 2012, pp.681-685 ferrite (NiFe3O4) is formed. The nickel ferrite is from the full width at half maximum (FWHM) values sonicated in acetone media for 20min and then of (311) reflection of the X-ray diffraction using calcinated at 6000C to remove the impurities. Finally, Scherrer’s equation (Klug and Alexander 1954). fine graded nanosized nickel ferrite particles are formed. The pellets of 10 mm diameter are prepared with thickness varying up to 2 mm by applying pressure of 10 Tons in a UTM – 40 ( 40 Ton Universal testing machine). For temperature dependent conductivity and sensor studies, the pellets are coated with silver paste on either side of the surfaces to obtain better contacts. The X-ray diffraction (XRD) pattern of the NiFe3O4 was recorded at room temperature by employing an x- ray powder diffractometer (Rigaku Miniflex) with CuK radiation (=1.5405A0) in the 2 (Bragg angles) range (20≤ 2 ≤100) at a scan speed of 0.50 Figure 1. Shows the XRD pattern of NiFe3O4 at 600oC minute-1. sintering temperature The percentage transmittances for the entire Figure 1show the XRD pattern of NiFe3O4 at 600oC sample are measured from 300 to 4000 cm−1. The sintering temperature. It was reported that nickel SEM images of polyaniline cadmium oxide ferrite deviates from its inverse spinel structure with composites were recorded using Philips XL-30 the reduction in grain size by Ponpandian et al. When (ESEM) scanning electron microscopy. The set up the grain size of nickel ferrite is reduced to nanometer used for measuring ac conductivity is Hioki 3050 order, some percentage of nickel ions get shifted from impedance analyzer, which is in turn interfaced to the B site to A site at the same time shifting an equal computer. number of iron ions from A to B site. The percentage of iron ions in B site increases with the reduction in Results and discussion grain size. This shifting of ions causes changes in An analysis of the dielectric properties of the XRD pattern also. As the percentage of iron ions in B NiFe3O4 has been carried out using impedance site increases, the intensity of the (222) peak increases. spectroscopy on application of a small a. c. signal This indicates that the structural changes of the across the sample cell with blocking electrode NiFe3O4, arise from the shifting of ions between A and (stainless steel). Complex impedance parameters (i.e., B sites. This shifting of ions is assumed to be capacitance, dissipation factor, impedance, phase prominent near the surface layers. Because the angles parameters) were measured with a computer- arrangement of ions in the core region of nanoparticles controlled impedance analyzer (HIOKI LCR Hi- is identical with that in bulk crystals, while the altered Tester, Model: 3532, Japan). A. C. conductivity has structure due to the reduction in the size is confined to been evaluated from dielectric data in accordance with surface layers. As the size of a particle is reduced the the relation: surface to volume ratio increases and the number of ac = 0rtan iron ions in B sites increases. where r = C/C0 is the relative permittivity, tan= tangent loss factor, C = vacuum capacitance 0 of the cell. The real and imaginary part of permittivity and modulus was calculated from the relation Figure 1 shows the XRD patterns of NiFe3O4 at600oC sintering temperature. The peaks in the spectra agreed closely with the data in the ICDD file (card number 10-325) for NiXFeX-1O4 indicating that the samples synthesized were nickel ferrite. The diffraction pattern of the samples showed broad peaks when compared with the bulk nickel ferrite. The average grain sizes of the particles were calculated 682 | P a g e
  • 3. Pathan Amjadkhan Noorkhan, Sangshetty Kalayne / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 4, June-July 2012, pp.681-685 Scanning Electron Microscope (SEM) The ac conductivity ac was determined using the formula 1 ac = (3)  ac When field is applied to a dielectric, the polarization of the dielectric takes place. The dielectric displacement found in a dielectric material when subjected to an alternating field (E) is not in phase. Hence the dielectric constant is a complex quantity and is expressed as * =  + i (4) where  is the real part (denoted as r for our Figure 2. Shows that the SEM image of NiXFeX-1O4 at discussions) and  is the imaginary part, 600oC sintering temperature In the rectangular coordinate system, the real and imaginary part of the impedance was calculated by Figure 2 (a) shows that SEM image of nickel ferrite at 600oC sintering temperature. It is clearly observed formulae from the image they are agglomerated, highly Z = |Z | cos  (5) branched and porous in nature. The average grain size was calculated by using line intercept formula and it is When the complex impedance plane plots found to be 0.21µm. were obtained, where a semicircle, is obtained the relaxation time was calculated using the relation =1. AC Conductivity Using the values of equivalent parallel -4 capacitance (Cp), dissipation factor (D), phase angle 1.0x10 (δ) and parallel equivalent resistance (Rp) that are NiFe3O4 recorded by the LCR meter at selected frequency -5 range (f), the ac conductivity (ζac), dielectric constant 8.0x10 (ε΄) and dielectric loss (tan δ) parameters have been calculated [15]. -5 The resistance ac of the samples was found by using 6.0x10 the equation. ac S/cm -5 R x A 4.0x10 ac = P (1) t -5 Where Rp, the resistance of the sample is 2.0x10 given by, 0.0 Rp = Z 1  tan  2 (2) 2 3 4 5 6 The a.c conductivity is frequency and 10 10 10 10 10 temperature dependent entity. The electrical Frequency (Hz) conduction is a thermally activated process and follows the Arrhenious law Figure 3. Shows the variation of ζac of NiFe3O4 as a ac = 0 e where ac conductivity, 0 -Ea/KT function of frequency. is pre exponential factor, Ea is the activation energy and K is Boltzmann constant. 683 | P a g e
  • 4. Pathan Amjadkhan Noorkhan, Sangshetty Kalayne / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 4, June-July 2012, pp.681-685 Figure 3 shows the variation of ζac of NiFe3O4, as a function of frequency. The conductivity of nickel Figure 4 shows the variation real permittivity (') of ferrites is increases with increase in frequency. The nickel ferrite of various composition as a function of nickel ferrite (NiFe3O4) shows ζac conductivity of 1.0 x logarithmic frequency. It is found that in all these 10-4 S/cm. This is may be attributed to the dipole nickel ferrite compositions, as frequency increases, polarization i.e., the rotation of dipoles between two dielectric constant decreases up to the frequency range equivalent equilibrium positions is involved. It is the of 104 Hz and after that it remains constant for further spontaneous alignment of dipoles in one of the increasing in frequency. The strong frequency equilibrium positions that give rise to the nonlinear dispersion of permittivity is observed in the low polarization behavior of this composition. frequency region followed by a nearly frequency This behavior of NiFe3O4 obeys the universal independent behavior above 10 kHz. It is observed power law, (ω)= (ω)n (the solid line is the fit  that Debye type relaxation mechanism is responsible to the expression), where r0 is the dc conductivity for higher value of NiFe3O4. (frequency independent plateau in the low frequency region), A is the pre-exponential factor, and n is the 0.8 tan delta fractional exponent between 0 and 1 [16]. On crystallization, the conductivity spectrum remains 0.7 similar as that of the nickel ferrite except dispersion in the low frequency region, where the deviation from 0.6 dc (plateau region) is more prominent. The deviation 0.5 from dc (plateau region) value in the conductivity spectrum (in the low frequency region) is due to the tan 0.4 electrode polarization effect. The values of , A, and n were obtained by fitting the (ω) to 0.3 (ω)= (ω)n. The overall behavior of ac  follows the universal dynamic response, which has 0.2 widely been observed in disordered materials like ionically conducting glasses and also doped crystalline 0.1 solids, and is generally believed to be reflected in the 0.0 mechanism of charge transport behavior of charge carriers. 2 3 4 5 6 10 10 10 10 10 Frequency (Hz) Figure 5. Shows the variation of dielectric constant as a function of frequency of NiFe3O4 Figure 5 shows the variation of dielectric constant as a function of frequency for NiFe3O4. The high value of dielectric constant of the sample NiFe3O4 may be explained on the basis of the structural changes associated with the nickel ferrite when the grain size is reduced to nanometer order. Nickel ferrite crystallizes into a cubic close-packed arrangement of oxygen ions. It belongs to the class of ferrites with an inverse spinel structure having structural formula, Fe3+[Ni2+Fe3+]O4. The metal ions given in the square bracket are called octahedral (B site) ions and that outside the square bracket are called tetrahedral (A site) ions. The nickel ions (Ni2+) together with half of the iron ions (Fe3+) occupy the B site and the remaining half of the iron ions reside in A site. The presence of Ni2+ and Ni3+ ions gives rise to p-type carriers (holes) whereas Fe2+ and Fe3+ ions produce n-type carriers (electrons). Figure 4. Shows the variation real permittivity (') of Therefore, both electrons and holes that are present in nickel ferrite as a function of frequency. the B sites are due to the presence of Ni and Fe ions. 684 | P a g e
  • 5. Pathan Amjadkhan Noorkhan, Sangshetty Kalayne / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 4, June-July 2012, pp.681-685 Since only iron ions are present in A sites, electrons are the carriers in A sites. The distance between the Reference ions in A sites (0⋅357 nm) is larger than the distance [1] D. Vladikova, H. Yonchev, L. Ilkov, S. Karbanov, between the ions in B site (0⋅292 nm). Also, the J. Magn. Magn. Mater. 78 (1989) 420 degree of covalency for the A site ions is higher than [2] A.M. El-Sayed, Materials Chemistry and Physics that of the B site ions. All the above factors result in a 82 (2003) 583–587 high activation energy for the A sites compared to the [3] J . S . Baijal, deepika kothari and sumitra B sites. Hence, in ordinary nickel ferrite with an phanjoubam, Proceedings of ICF-5 (1989) pp. inverse spinel structure the electron movement in B 371. sites dominates compared to that in A sites. [4] J . Smit, “Magnetic Properties of Materials” (Mc Grow-hill Book Company, New York, 1971). Conclusion [5] K. J . Standley, “Oxide Magnetic Materials” Nickel ferrite (NiFe3O4) is prepared by (Oxford UK Clarendon, 1972). employing sol gel technique. XRD studies revels that [6] M. I . Rosales, E. Amano, M. P . Cuatle and R. the percentage of iron ions in B site increases with the Valenzuela, Mater. Sci. Engng. B49 (1997) 221. [7] K. C. Patil, S . Sunder manoharan and D. reduction in grain size. This shifting of ions causes Gajpathy, Marcel Deekar 1 (1990) 473. changes in XRD pattern also. As the percentage of [8] A. Verma, T. C. Goel, R. G. Mendiratta and R. G. iron ions in B site increases, the intensity of the (222) Gupta, Journal of Magnetism and Magnetic peak compared to that of the (220) peak increases. Materials 192(1999) 271. From the SEM image, it is observed that the granular [9] A. Verma, T. C. Goel, R. G. Mendiratta and P . size increases with increase in percentage of Ni and Kishan, ibid. 208 (2000) 13. sintering temperature. The nickel ferrite shows high [10] C. N. R. Rao and J . Gopalkrishnan, “New ζac conductivity of 1.3 x 10-4 S/cm due to attribution of Directions in Solid State Chemistry” (Cambridge the dipole polarization. The high value of dielectric Univ. Press, (1989). [11] Giannakopoulou T, Kompotiatis L, constant of the sample NiXFeX-1O4 is because of Kontogeorgakos A and Kordas G 2002 J. Magn. structural changes associated with the nickel ferrite Magn. Mater. 246 360 when the grain size is reduced to nanometer order. [12] Goldman A 1990 Modern ferrite technology (New York: Van Nostrand Reinhold) p. 71 [13] Gopal Reddy C V, Manorama S V and Rao V J 1999 Sensors and Actuators B55 90 [14] Gotic M, Czako-Nagy I, Popovic S and Music S 1998 Philos. Mag. 78 193 [15] Green J J, Waugh J S and Healy B J 1964 J. Appl. Phys. 35 1006 [16] Han K C, Choi H D, Moon T J and Kim W S 1995 J. Mater. Sci. 30 3567 685 | P a g e