3.1.XRD Analysis
For the characterization of crystalline powders, X-ray diffraction (XRD) analysis is used as a powerful tool. Thus, to confirm the phase formation and for micro structural studies, the x-ray Powder Diffraction analysis was carried out on the synthesized Mg Sm x Fe2-x O4 (where X = 0.000, 0.025, 0.050, 0.075,0.1). nano ferrite powder samples. The X-ray diffraction patterns of the samples were depicted in figure 1. It was indexed as (111), (220), (311), (222),(422), (511), (440). It indicates the formation of cubic spinel structure of the ferrites with single phase without any impurity pickup.
Scherrer Formula:
Crystalline size of the sample 
Where λ =wavelength of X-ray used
β = Full Width Half Maxima (FWHM) in radians.
θ = peak position.
Lattice parameter (a) of the sample was calculated by the formula
a = d * (h2 +k2+l2 )1/2
Where a = Lattice Constant
(hkl) are the Miller Indices
d = inter planner spacing,
The X-ray density 
Where M = molecular weight of the sample
n = number of molecules in a unit cell of spinel lattice
a = lattice parameter and N is the Avogadro number.
Values of Crystallite size, lattice parameter, X-ray density and volume of all the samples were given in the table (1).
Table (1): Crystalline size, Lattice Parameter, X-ray density & volume.
S.No
|
Sample
|
Mol. wt (gm/mol)
|
Crystallite size(nm)
|
Lattice constant (Ao)
|
X-ray density (gm/cc)
|
Volume (Ao)3
|
.1
|
MgFe2O4
|
199.991
|
15.21
|
8.44
|
4.39
|
601.21
|
2
|
MgSm0.025Fe1.975O4
|
202.353
|
16.08
|
8.45
|
4.45
|
603.35
|
3
|
MgSm0.050Fe1.95O4
|
204.716
|
13.79
|
8.40
|
4.58
|
592.70
|
4
|
MgSm0.075Fe1.925O4
|
207.079
|
20.36
|
8.37
|
4.69
|
585.37
|
5
|
MgSm0.1Fe1.9O4
|
209.442
|
19.31
|
8.36
|
4.76
|
584.27
|
From the table we can observe that the crystallite size of the prepared samples were in the range of 15nm to 20nm. Value of lattice constant is increasing with samarium doping which shows the expansion of unit cell with rare earth doping.
Lattice parameter of Sm doped Mg nano ferrites:
The variation of lattice parameter with Sm+3 ion content shown in fig 2. The lattice parameter of Sm doped Mg nano ferrite increases with Sm content initially. Further decreases in small proportion. Such a change in the lattice parameter because of F+3 ions which are smaller radius (0.067 nm) then that of ionic radius of Sm+3 (0.0958).
X-ray density of Sm doped Mg nano ferrites:
The X-ray density of the prepared samples are directly proportional to the molecular weight. From the above fig 3. the variation of X-ray density with Sm+3 ion content, it is observed that the effect of increase in the molecular weight of the sample due to the doping of Sm+3ion in place of lighter Fe+3 ions. X-ray density increases with an increase in Sm+3 ion doping in Mg ferrite. It is inferred that the change in X-ray density depends on the mass of the doped ions in place of Fe+3 ions.
3.2 Fourier Transform Infrared Spectroscopy Analysis (FTIR)
FTIR spectra acts as a powerful technique for the structural characterization. FTIR spectral analysis witnesses the formation of spinel structure of synthesized Sm, doped Mg nano ferrites. FTIR spectra of the prepared ferrites was recorded in the range of 200 to 3000cm-1 at room temperature and was used to locate the band positions. The spectra is recorded in KBr pellet that is mixed in 1:20 ratio. The FTIR spectra of all the compositions were shown in the figure 6 where % Transmittance was plotted against wavenumber. From the figure, two clears
absorption bands ν1 and ν2 were observed at about 600cm-1 and 395cm-1 which signify the intrinsic stretching vibrations of tetrahedral (A) and octahedral (B) sites respectively. The first Absorption band identified in the range of 626 – 570 cm-1 indicate the stretching vibration of tetrahedral M-O bond and the second band detected in the range of 496 to 400cm-1 results from stretching vibrations of metal-oxygen band at octahedral site.
Vibrational spectra of ferrites were studied by Waldron and Hafner and ascribed the high frequency band (ν1) at about 600cm-1 to tetrahedral (A) site and low frequency band (ν2) at about 400cm-1 to octahedral (B) site. The observed absorption bands within these specific range indicate the formation of single phased spinel structure with two sub-lattices namely tetrahedral (A) site and octahedral (B) site. The variance between ν1 and ν2 is because of the differences in distances of positions of Fe3+and O2-at tetrahedral an octahedral site.
3.3 Optical Studies
The optical studies of synthesized nano ferrites studied by UV–DRS (diffuse reflectance spectroscopy). The UV-DRS spectroscopy absorption and reflection in the UV region and, it was performed using reference which is barium sulphate (BaSO4) with absorbance verses wavelength. In the absorption molecules of Electron or non –bonding (n-electron) can absorb the energy in the form of ultraviolet or visible light to excite this electron to higher or anti-bonding molecular orbit. Sm doped Mg ferrites wave length is 520 nm regions, and it is a visible region.
3.4 Electrical Properties:
DC resistivity of Sm doped Mg nano ferrites.
The Dc electrical resistivity is one the important property to study the conduction mechanism in nano ferrites. The conduction mechanism in nano ferrites was due to hoping charge carries (electrons)between the ions of same elements. The probability of hoping depends upon the separation between the involving ions and their activation energy [20]. The electrostatic interactions between the conduction of electrons and nearby ions result in polarization of surrounding region so that, the electron is present at the center of polarization. This electron is transferred to the neighboring site by the thermal activation energy. This kind of mechanism in conduction is called hoping mechanism [21]. In the prepared Sm doped Mg nano ferrite samples, the variation of resistivity have been observed that as the temperature increases resistivity decreases. It indicates normal behavior of semiconductor. And also, it gives the conductivity nature of a semi-conductor.
The dc electrical conductivity of the materials given by σ=σo exp (-Ea /kT) where Ea is the thermal activation energy, σo is the pre-exponential factor which depends on the nature of the material composition and k is the Boltzmann constant. The electrical conductivity of the prepared samples were studied under the temp range 200°C to 500°C. The temperature dependance of electrical conductivity of prepared nano ferrites studied by plotting a graph between the Log (σT) vs 1000/T. By plotting the graph, we get a curve whose slope can be used to calculate the thermal activation energy of nano ferrite samples [22]
Table-2 Electrical properties of Ferrite Composition Mg Sm x Fe2-x O4 (where X = 0.000, 0.025, 0.050, 0.075,0.1) Curie TemperatureTc (K) Para Region (EP) eV Ferri Region (EF) eV
S.No
|
composition
|
Curie Temp (oC)
|
Para Region (EP) eV
|
Ferri Region (EF) eV
|
1
|
MgFe2O4.
|
489
|
0.0571
|
0.03214
|
2
|
MgSm0.025Fe1.975O4.
|
478
|
0.0403
|
0.0338
|
3
|
MgSm0.075Fe1.925O4.
|
470
|
0.0554
|
0.03946
|
3.5 Thermo electric power studies of Sm doped Mg nano ferrites:
The thermo electric power studies of the prepared Sm, doped Mg nano ferrites are measured by the differential method at room temperature to 300 oC. The thermo e m f of the prepared samples were measured during the temperature cooling cycle. This is because during the cooling cycle the sample having more thermal stability than heating cycle.
The values of the See beck coefficient of the Sm doped Mg nano ferrites samples under study were calculated from the observed values, and their thermal e. m. f are given below in table.1.
From the table, that we can observe the See beck coefficient gradually increases with the increasing of Sm, concentration. This may be attributed that, by increasing the Sm, concentration they occupy the B – Sites of and transfer the Fe+3 ions to the A-site, resulting in the decreasing of Fe+3 ions in the B- site [23]. This indicates the decrease of Fe +2 ions in B- site. See beck coefficient for cubic system is given by
S =Total number of Fe +3 ions in B-site / Total number of Fe +2 ions in B- sites.
With the increasing of Sm, concentration, the number of Fe+2 ions in B-sites decreases and See beck coefficient increases in the Mg nano ferrites which can be justified from the above expansion of See beck coefficient.
From the above explanation, the reason with the increasing of Sm, concentration, a large number of charge carriers are produced. So that more energy is required to transfer the charge carriers between the different cations, therefore, large e m f is produced which enhances the thermo electric power. The figure shows that the variation of See beck coefficient with the temperature for all the prepared nano ferrite samples. It can be seen from figure, that the See beck coefficient positive and low at low temperature, as the temperature increases the See beck coefficient value also increases for all the prepared nano ferrite samples under investigation. This indicates that all the prepared nano ferrite samples behave like as p-type semi – conductors.
Table:3 Seebeck Coefficient and Curie temperature of the prepared Mg Sm x Fe2-x O4 (where X = 0.000, 0.025, 0.050, 0.075,0.1)
Composition
|
Curie Temperature (K)
|
See back coefficient
|
Mg Fe2 O 4
|
563
|
4000
|
Mg Sm0.05 Fe1.95 O4
|
478
|
3250
|
Mg Sm0.1 Fe1.9 O4
|
539
|
4300
|
By increasing the temperature, the conduction mechanism in these nano ferrites was due to the electrons, and they behave like p- type semiconductors. This type of conductivity is attributed to the hoping of electrons between the Fe+2 and Fe+3 ions at octahedral cites. The p- type of conducting mechanism is
Fe+2 → Fe +3 + 1 e—
By observing the See beck coefficient values of prepared nano ferrite samples, they increased values with increasing of temperature indicates that more p-type charge carriers were released. Further increasing in temperature, the Seebeck coefficient suddenly decreases at particular temperature and again gradually increases, this sudden change in See beck value was named as Transition temperature (Tc).
From the above figure. 9, the transition temperature of all prepared nano ferrites was measured and are tabulated in table 1. The ferrites after reaching the transition temperature becomes paramagnetic. Hence there is no probability for hoping of electrons between the A-sites and B-sites behand the Tc. Thus, Seebeck coefficient becomes constant after transition temperature [24]. The transition temperature of pure Mg ferrite was around 294°C (568 K). In the present work the thermo electric power measurements carried out from room temperature to 300°C (300 -568 K) using the differential method. It is clear that the Sm, Gd doping Mg nano
ferrites thermo electric power study, exhibiting a well-defined transition at the curie temperature like the magnetic properties, susceptibility, permeability and spontaneous magnetization. The value of See beck coefficient shows minimum value at Tc, indicates that the magnetic ordering as a marked effect as the thermo electric power of these nano ferrite samples under investigation.
From the present study considering the semi conducting behavior of investigated nano ferrites the charge carriers are considered to be localized at ions or at vacant sites.
The variation of transition temperature with doping of Sm, concentration increases the transition temperature also increases, This may be due to the increase in the concentration of Sm, the Fe +3 ions decreases , which reduces the overall number of Fe ions in B – sites which in term results in increasing of A-B interaction Fe +3 – o – Fe+3 [25].
3.6 Magnetic properties of Sm, doped Mg Ferrites:
The room temperature magnetization measurements were carried out by using Vibration Sample Magnetometer (V S M). To know the magnetic measurements, the prepared nano ferrite samples were made in the form of pellets, and subjected to calcination at 500°C temperature for four hours at a heating rate of 4 °C /min.
Hysteresis loops obtained from V S M for all the composition of Sm, doped Mg ferrite were shown in figure which shows the dependance of magnetization (M) on the applied magnetic field (H) and anisotropic constant (K).
Composition
|
M.W
|
Magnetic moment (μB)
|
Anisotropic constant K
(erg/Oe)
|
saturation magnetization MS(emu/gm)
|
Coercivity HC(Oe)
|
Remanence Magnetization MR(emu/gm)
|
squareness ratio S= MR/ MS
|
Mg Fe2 O 4.
|
199.911
|
0.00268
|
6.953
|
0.075
|
89
|
0.023
|
0.306
|
Mg Sm0.025 Fe1.975O4
|
202.353
|
0.000434
|
1.187
|
0.012
|
95
|
0.030
|
2.5
|
Mg Sm0.075 Fe1.925 O4
|
207.079
|
0.00233
|
7.743
|
0.063
|
118
|
0.018
|
0.285
|
Various magnetic parameters are measured by observing hysteresis loops such as saturation magnetization MS (Maximum value of the magnetization), remanence magnetization Mr – (Magnetization at zero field), Coercivity -HC (Magnetic field require to reduce the magnetization of that material to zero after the magnetization of the sample has been driven to saturation).
The calculated magnetic parameters (MS, Mr and Hc) for synthesized nano ferrite samples under the applied magnetic field (H) are mentioned in a tabular form.
The measured values show a clear hysteresis loop behavior, from the hysteresis loop fig.7 we can observe that the pure Mg ferrite (X=0.000) with high squareness ratio was the hard ferrite and maximum Sm, Gd doped ferrite (X = 0.075) with least squareness ratio was the soft ferrite. Hence by substituting Sm, Gd in the Mg ferrite the system changes from hard ferrite to soft ferrite.
The shape and width of the M – H loop is affected by several factors including chemical composition, fabrication method, sintering temperature by time and also grain size etc[26][27].
From the calculated values it can be observed that in Mg nano ferrites the saturation( MS) and remanent magnetization (Mr) values were observed to be decreases with increasing of Sm doping concentration.
Coercivity is the magnetic field strength required for overcoming anisotropy to flip the magnetic moment which is influenced by the doping rare earth material ions[28]. The coercivity value were in the range of 89 – 145 Oe.
The magnetic moment M and anisotropic constant K of the pure sample to Sm doping ferrite increases, and Gd doping sample it decreases. It was observed that the magnetic momentum µB and squareness ratio (S) values decreases with increasing Sm concentration in Mg nano ferrites.
From these results it is observed that by increasing the Sm concentration in the prepared Mg nano ferrites magnetic property of the samples are converted from hard magnetic to soft magnetic. Such magnetic materials can be used for the fabrication of soft magnets, used in transformers cores, motors, and electro magnets etc.