# FTIR and Electrical Study of Dysprosium Doped Cobalt Ferrite Nanoparticles

Authors: Hemaunt Kumar; Jitendra Pal Singh; R. C. Srivastava; P. Negi; H. M. Agrawal; K. Asokan
Journal: Journal of Nanoscience
 (2014)

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## Abstract

We have studied the role of Dy3+ doping on the XRD, TEM, FTIR, and dielectric and electrical properties of CoFe2O4 at room temperature. Cubic spinel phase of CoFe2−xDyxO4 (x = 0.00, 0.05, 0.10, and  0.15) was synthesized by using different sintering temperatures (300, 500, 700, and 900°C). The two absorption bands ν1 and ν2 are observed in Fourier transform infrared spectroscopy (FTIR) spectra corresponding to the tetrahedral and octahedral sites, which show signature of spinel structure of the sample. For the sample sintered at 300°C, the dielectric constant is almost unchanged with the frequency at the particular concentrations of x = 0.00 and 0.05. Similar result is obtained for the sample sintered at 500°C (x = 0.10, 0.15), 700°C (x = 0.05, 0.10, and 0.15), and 900°C (x = 0.05, 0.10). An increase in the dielectric constant was observed for the undoped cobalt ferrite sintered at 500, 700, and 900°C. The values of electrical resistivity of the materials vary from ~105 to 109 Ω-cm.


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## Body

## 1. Introduction

Spinel ferrites have general formula MO: Fe2O3 where M is Zn2+, Ni+2, Co+2, and so forth. It constitutes an important class of magnetic materials having several technological applications like spintronics, magnetic diagnostic, magnetic drug delivery, storage devices, electrical generators, microwave devices, and so forth [1]. Nanoferrites exhibit unusual electrical, magnetic, and optical properties which are sensitive to their structure, method of synthesis, particle size, and type of dopant ions. These materials crystallize into a cubic closed-packed structure of oxygen ions. The cations occupy two types of interstitial sites known as tetrahedral (A) site and octahedral (B) site. The site occupancy is often depicted by the chemical formula (M2+1-δFe3+δ)[M2+δFe3+2-δ]O2-4,  where the parentheses and square brackets denote A and B sites, respectively, M represents a divalent cation, and δ is inversion parameter [2].Among spinel ferrites, CoFe2O4 is an interesting magnetic material due to its high coercivity (~5400 Oe) and moderate saturation magnetization (~80 emu/g) as well as remarkable chemical stability and mechanical hardness, which make it a good candidate for the recording media [3, 4]. The coexistence of spontaneous polarization and magnetization in CoFe2O4 based composite and core shell nanoparticles is of great importance [5]. However, synthesising composites and core-shell particles is a complicated task rather than synthesizing single phase materials. Doping of Zn in the cobalt ferrite matrix leads to the increase of dielectric constant, whereas nickel substitution leads to the decrement in the dielectric constant [6]. The signature of ferroelectricity in the magnetically ordered Mo-doped CoFe2O4 has been investigated and it shows the coexistence of both ferroelectricity and magnetic ordering at room temperature [7]. The effect of La3+ doping on the electrical, dielectric, and magnetic properties of cobalt ferrite prepared by coprecipitation technique has been investigated [8] and low values of dielectric constant, dielectric loss, and magnetic loss could be correlated with better compositional stoichiometry and Fe ions concentration. The structural, electrical, and magnetic studies of Gd3+ doped cobalt ferrite nanoparticles were investigated and these materials show low loss, high resistivity, and soft magnetic properties due to Gd3+ doping [9].It was observed that rare earth doped ferrite exhibits better properties; however, limited solubility of these ions in ferrite is a major issue. Moreover, the solubility limit depends on the method of synthesis [8]. In the lanthanide series the magnetic moment varies from 0 (La3+) to 10.5 μB (Dy3+) and lanthanide ions can be isotropic or anisotropic due to the large variation of the f-electron orbital contribution to the magnetic interaction. The magnetic properties of rare earth doped ferrites are not well understood either in terms of the magnetic moment of the dopant cations or the unpaired f-electrons [10]. Among the lanthanide series Dy3+ ion has the highest value of magnetic moment which affects the magnetic and electrical properties of the materials. There are several issues related to the rare earth ions doping in ferrites such as limited solubility of rare earth ions and its effect on the electrical and magnetic properties which are not well understood. Hence, the present work is carried out to get an insight of the underlying physics by performing XRD, TEM, Fourier transform infrared spectroscopy (FTIR), and dielectric and electrical resistivity measurements of Dy3+ doped ferrite.


## 2. Experimental

Nanoparticles of dysprosium doped cobalt ferrite were synthesized by using the chemical route. The stoichiometric amounts of Fe(NO3)3·9H2O, Co(NO3)2·6H2O, and Dy(NO3)3·5H2O were dissolved in the distilled water. In the aqueous salt solution, citric acid solution was added with the cations to citric acid molar ratio of 1 : 2. The solution was heated at 85°C under constant magnetic stirring until the solution got converted into a viscous gel and was allowed to cool at room temperature. The cooled gel was dried in an oven at 100°C for overnight to form the precursor material. The precursor material was sintered at 300, 500, 700, and 900°C for 2 hrs to get the nanoparticles of dysprosium doped cobalt ferrite.  X-ray diffraction data were collected on Bruker D8 ADVANDED X-ray diffractometer using Cu Kα radiation (λ = 1.54178 Å). The ferrite powder was pressed into pellets of 10 mm diameter at a presser of 5 ton after mixing with about 2% by weight of polyvinyl alcohol binder. These pellets were heated in a furnace at 200°C for 2 hrs. These pellets were polished and coated with silver on both surfaces for dielectric measurements. The dielectric properties of the samples were measured with an Agilent 4285A precision LCR meter in the frequency range of 75 kHz to 5 MHz. Fourier transform infrared spectroscopy (FTIR) was recorded at room temperature in the range of 200 to 4000 cm−1 using Bruker make Vortex 70 spectrometer.


## 3. Results and Discussion

### 3.1. XRD Study

Figure1 shows the representative X-ray diffraction patterns of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10, and 0.15) samples sintered at 500°C. The synthesized samples exhibit the presence of cubic spinel phase (JCPDS number -03-0864). No impurity phase was detected even for the highest concentration of Dy3+ (x = 0.15). All the XRD peaks could be indexed to Fd3m space group with cubic symmetry. It is observed that the XRD peaks of the samples appear to be broadened with increasing Dy3+ concentration. The XRD parameters such as crystallite size, lattice parameters, X-ray density, and specific surface area are tabulated in Table 1. The higher concentration of Dy3+ led to lower crystallinity of the all the samples. This may be because more dopant concentration leads to a higher potential barrier that Dy3+ ion has to overcome for entering the spinel crystal lattice resulting in crystal lattice distortion and local strain [11].Table 1
Calculated XRD parameters of the samplesCoFe2-xDyxO4 sintered at 500°C.
Samples
Crystallite size (±1 nm)
Lattice parameter (±0.01 Å)
X-ray density (±0.02 gm/cm3)
Specific surface area (±1 m2/gm)
x
=
0.00
22
8.37
5.33
51
x
=
0.05
16
8.37
5.44
69
x
=
0.10
13
8.36
5.57
83
x
=
0.15
11
8.36
5.69
96Figure 1
XRD patterns of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10 & 0.15) sintered at temperature of 500°C.


### 3.2. TEM Study

Few representative transmission electron micrographs of the dysprosium doped cobalt ferrite nanoparticles at the sintering temperature of 700°C are shown in Figure2. The average particle sizes are 49, 40, 43 and 37 nm for the concentration of x=0.00,0.05,0.10 and 0.15, respectively (Table 2). In the present case the particle size is more than that of the crystallite size, indicating that the particles of the synthesized samples consist of several crystallites. A decreasing trend of particle size was observed with the increase of Dy3+ concentration. Similar behaviour of particle size was observed by other workers also [12].Table 2
Particle size of samplesCoFe2-xDyxO4 sintered at 700°C.
Samples
Particle size (nm)
x
=
0.00
49
x
=
0.05
40
x
=
0.10
43
x
=
0.15
37TEM micrographs of CoFe2‒xDyxO4 sintered at 700°C. (a) x = 0.00; (b) x = 0.05; (c) x = 0.10; (d) x = 0.15.
(a)
(b)
(c)
(d)


### 3.3. FTIR Study

FTIR spectra of dysprosium doped cobalt ferrite which were synthesized at different sintering temperatures (300–900°C) were recorded in the range of 400–5000 cm−1 at room temperature. The obtained results are shown in Figures 3(a)–3(d). In ferrites, the band appearing at the higher wave number (ν1, 500–600 cm−1) is assigned to the tetrahedral complexes, while the band appearing at lower wave number (ν2, 400–450 cm−1) is assigned to the octahedral complexes. The higher wave number ν1 represents the vibration of Fe3+–O2‒ in the sublattice site A, while the lower wave number band ν2 represents the trivalent metal-oxygen vibration at the octahedral B-sites. The difference in the ν1 and ν2 band positions is expected because of the difference in the Fe3+–O2‒ distance for the octahedral and the tetrahedral sites [13]. It is seen that the FTIR spectra of the dysprosium doped cobalt ferrite nanoparticles show no residual organic compounds and confirm the formation of the organic free dysprosium doped cobalt ferrite above the sintering temperature of 500°C. At lower sintering temperature (300°C) of dysprosium doped cobalt ferrite, the observed peak at about 3410 cm−1 is attributed to the stretching vibration of the hydroxyl group and the other observed peaks at around 1400 and 1600 cm−1 are attributed to the symmetric and asymmetric stretching vibration of CO2 groups. The observed peak around 2330–2358 cm−1 is assigned to the aliphatic and aromatic C–H bond stretching. These bands start removing for higher sintering temperature due to the evaporation of CO2 [14]. The ratio of the line position of FTIR bands can be determined by [15] ν1/ν2=(Kt/K0)2 where Kt and K0 are the force constants for the M–O bonds in tetrahedral and octahedral sites, respectively.  Deviation of the ratio Kt/K0 from unity indicates that the expansion at one site is not equally compensated by the shrinkage at another site. In the present case the peak around 800 cm−1 becomes more and more narrower with increasing sintering temperature, which is due to the grain growth of the particles with increase in sintering temperature. The band positions of dysprosium doped cobalt ferrite sintered at 300°C are in the range of 567 cm−1 to 594 cm−1 for ν1 and 403 cm−1 to 424 cm−1 for ν2. The band positions of the samples sintered 500°C are in the range of 553 cm−1 to 595 cm−1 for ν1 and 410 cm−1 to 437 cm−1 for ν2. The band positions of the samples sintered 700°C are in the range 567 cm−1 to 587 cm−1 for ν1 and 410 cm−1 to 424 cm−1 for ν2. The band positions of the samples sintered 900°C are in the range of 560 cm−1 to 594 cm−1 for ν1 and 417 cm−1 to 430 cm−1 for ν2. The vibrational band positions for all the samples are shown in Table 3. It is observed that substitution of Fe3+ by Dy3+ causes shifting of band positions (Fe3+–O2‒) towards higher frequency side due to increased bond length at B-sites and lattice distortion. This also suggests the occupancy of Dy3+ at B-sites.Table 3
FTIR data of CoFe2-xDyxO4 samples sintered at 300, 500, 700, and 900°C.
Samples
300°C
500°C
700°C
900°C
ν
1 (cm−1)
ν
2 (cm−1)
ν
1 (cm−1)
ν
2 (cm−1)
ν
1 (cm−1)
ν
2 (cm−1)
ν
1 (cm−1)
ν
2 (cm−1)
x
=
0.00
567
403
553
410
567
410
560
417
x
=
0.05
574
417
581
411
574
417
581
417
x
=
0.10
581
424
594
430
584
417
587
424
x
=
0.15
594
424
595
437
587
424
594
430FTIR spectra of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10 & 0.15) sintered at different temperatures of (a) 300°C, (b) 500°C, (c) 700°C, and (d) 900°C.
(a)
(b)
(c)
(d)


### 3.4. Dielectric Behaviour

The dielectric constantε′of dysprosium doped cobalt (CoFe2‒xDyxO4) ferrite has been estimated from capacitance, C, of the pellets using the formula given below [16]:
(1)ε′=Cdε0A,
where d is the thickness of the pellets, A is the cross-sectional area in m2, and ε0 is the permittivity of free space. The variation of dielectric constant against frequency for different samples is shown in Figure 4. The values of dielectric constant are shown in Table 4. The dielectric constant of the dysprosium doped cobalt ferrite (CoFe2‒xDyxO4) in general decreases with the increase in the frequency.  However, in the present case some deviation was observed from this usual behaviour. For the sample sintered at 300°C, the dielectric constant is almost unchanged with the frequency at the particular concentrations of x = 0.00 and 0.05. Similar result is obtained for the sample sintered at 500°C (x = 0.10, 0.15), 700°C (x = 0.05, 0.10, and 0.15), and 900°C (x = 0.05, 0.10). An increase in the dielectric constant was observed for the undoped cobalt ferrite sintered at 500, 700, and 900°C. The decrease of dielectric constant with increasing frequency is due to the fact that above certain frequency of the electric field, the electron exchange between Fe2+ and Fe3+ ion cannot follow the variation of electric field. The space charge carriers in a dielectric material require a finite time to line up their axes parallel to the direction of the applied electric field. If the frequency of the field increases, a point is reached when the space charge carriers cannot cope up with the applied field. As a result the dielectric constant of these materials decreases. As the frequency of the field continuously increases, at some stage the space charge polarization would barely have started to move before the field reverses and makes virtually no contribution to the polarization and hence to dielectric. The increase in dielectric constant with frequency may be due to resonance effect. The resonance may arise due to the matching of the frequency of charge transfer between Fe2+↔Fe3+ ions and that of the applied electric field. Similar increase in the dielectric constant was obtained for the La doped cobalt ferrite [8, 17, 18]. The change in dielectric constant with increasing dysprosium concentration may be due to the migration of the Fe3+ ions from octahedral site to tetrahedral site. A similar behaviour was reported in case of the nickel substituted Co–Zn ferrite [6].It has been reported that dielectric properties of materials are sensitive to the method of synthesis, microstructure, and crystallite size. In the present case, two factors which have dominant effect are sintering temperature and concentration of dopant ions. At lower concentration Dy3+ ions are dissolved in spinel lattice; however, at higher concentration these ions cease to be dissolved, resulting in the presence of Dy3+ ions at grain boundaries at higher dopant concentration. On the other hand low sintering leads to incomplete crystallization; however, crystallization is prominent at higher sintering temperature [19]. The value of dielectric constant in the present case is affected by oxidation state of metallic ions, method of synthesis, and also the solubility of Dy3+ ion. This aspect was studied for nickel ferrite system [20]. Method of synthesis plays an important role in determining the dielectric properties. Synthesis routes which involve comparatively low heat treatment exhibit higher value of dielectric constant and high value of dielectric loss due to presence of organic free radicals and metastable phases. This type of behaviour was studied by Singh et al. [20]. Coprecipitation method requires comparatively higher value of thermal treatment than the nitrate route. This may be one reason for change in the dielectric constant [8]. Another issue is the solubility of rare earth ions in the ferrite matrix. The rare earth ions with larger ionic radii have limited solubility in the lattice. The trace amount of the phase which could not be detected by XRD such as the presence of Dy3+ ions on grain boundaries may take part in polarization processes and may cause an increase in the dielectric constant of the materials.Table 4
Dielectric constant ofCoFe2-xDyxO4 (x=0.00, 0.05, 0.10, and 0.15) at different sintering temperatures.
Samples
Frequency
Dielectric constant(ε′) at different sintering temperatures
300°C
500°C
700°C
900°C
x
=
0.00
75 kHz
180
1127
834
344
1 MHz
177
1370
1017
385
5 MHz
173
1559
1143
473
x
=
0.05
75 kHz
248
391
567
149
1 MHz
246
273
567
149
5 MHz
241
242
557
146
x
=
0.10
75 kHz
495
293
267
220
1 MHz
297
282
263
220
5 MHz
276
274
257
216
x
=
0.15
75 kHz
245
160
183
692
1 MHz
160
151
180
679
5 MHz
171
146
183
665Figure 4
Dielectric constant of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10 & 0.15) sintered at 300, 500, 700, and 900°C.


### 3.5. Dielectric Loss

Dielectric tangent loss (tanδ) of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10, and 0.15) was calculated using the relation [16]
(2)tanδ=ε′ε′′,
where ε′′ is the imaginary part of the dielectric constant and is a measure of the absorption of energy by the dielectric material from the alternating field, δ is the loss angle, and ε′ is the real part of the dielectric constant. The dielectric loss tangent versus frequency is shown in Figure 5. The values of the dielectric tangent loss (tanδ) at different sintering temperature are tabulated in Table 5. The dielectric tangent loss (tanδ) decreases with increase in the frequency and then becomes constant at higher frequencies for each sample. The value of dielectric tangent loss (tanδ) depends on a number of factors, such as stoichiometry, Fe+2 content, and structural homogeneity, which in turn depend on the composition and synthesis methods. The decrease in loss tangent with frequency may be attributed to the Maxwell-Wagner polarization [17] and conduction mechanism in ferrites. The dielectric loss tangent (tanδ) changes with increase in the dysprosium (Dy3+) concentration in cobalt ferrite. An increase in the dielectric loss tangent was observed for the case of undoped cobalt ferrite sintered at 700 and 900°C.Table 5
Dielectric loss tangent(tan⁡δ) of CoFe2-xDyxO4 (x=0.00, 0.05, 0.10 and 0.15) at different sintering temperatures.
Samples
Frequency
Dielectric tangent loss(tan⁡δ) at different sintering temperatures
300°C
500°C
700°C
900°C
x
=
0.00
75 kHz
0.037
0.045
0.034
0.028
1 MHz
0.005
0.158
0.151
0.159
5 MHz
0.001
0.072
0.067
0.118
x
=
0.05
75 kHz
0.010
1.79
0.0005
0.0002
1 MHz
0.001
0.253
0.0002
0.0001
5 MHz
0.001
0.0136
0.0001
0.001
x
=
0.10
75 kHz
2.006
0.195
0.041
0.0009
1 MHz
0.343
0.022
0.00481
0.0007
5 MHz
0.073
0.005
0.003
0.0006
x
=
0.15
75 kHz
1.644
0.159
0.051
0.0395
1 MHz
0.222
0.026
0.00481
0.00456
5 MHz
0.142
0.001
0.003
0.0107Figure 5
Dielectric loss in CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10 & 0.15) sintered at 300, 500, 700, and 900°C.


### 3.6.I-V Characteristic

The electrical resistivity of the samples was calculated using the formula(3)ρ=RAL,
where L is the thickness, R is the resistance, and A is the area (A=πr2) of the pellet. Figures 6(a)–6(d) show the I-V characteristics of the samples sintered at different temperatures. The value of electrical resistivity at room temperature is tabulated in Table 6. The electrical resistivity depends upon the crystal structure and composition of the materials. It changes with the increase in the dysprosium (Dy3+) concentration. In the present case of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10, and 0.15) samples, it varies in the range of 1.8 × 105 to 1.62 × 109 Ω-cm for different sintering temperatures. The electrical resistivity of Mn–Zn–Ce ferrites has also been reported in the range of 1.4 × 105 to 4.3 × 108 Ω-cm[21]. However, other reports show the electrical resistivity in the range 6.4 × 105 to 33.31 × 106 Ω-cm[8]. The temperature variation of resistivity of these materials is in progress.Table 6
Electrical resistivity(ρ) of CoFe2-xDyxO4 (x=0.00, 0.05, 0.10, and 0.15) at different sintering temperatures.
Samples
Electrical resistivity (Ω-cm) at different sintering temperatures
300°C
500°C
700°C
900°C
x
=
0.00
1.76
×
10
7
5.87
×
10
7
8.07
×
10
6
1.88
×
10
6
x
=
0.05
6.83
×
10
7
1.8
×
10
5
7.87
×
10
8
1.62
×
10
9
x
=
0.10
6.26
×
10
7
6.31
×
10
5
4.95
×
10
6
1.16
×
10
8
x
=
0.15
12.45
×
10
7
25.68
×
10
5
24.37
×
10
6
6.84
×
10
6I
-
V curves of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10 & 0.15) sintered at different temperatures (a) 300°C, (b) 500°C, (c) 700°C, and (d) 900°C.
(a)
(b)
(c)
(d)


## 3.1. XRD Study

Figure1 shows the representative X-ray diffraction patterns of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10, and 0.15) samples sintered at 500°C. The synthesized samples exhibit the presence of cubic spinel phase (JCPDS number -03-0864). No impurity phase was detected even for the highest concentration of Dy3+ (x = 0.15). All the XRD peaks could be indexed to Fd3m space group with cubic symmetry. It is observed that the XRD peaks of the samples appear to be broadened with increasing Dy3+ concentration. The XRD parameters such as crystallite size, lattice parameters, X-ray density, and specific surface area are tabulated in Table 1. The higher concentration of Dy3+ led to lower crystallinity of the all the samples. This may be because more dopant concentration leads to a higher potential barrier that Dy3+ ion has to overcome for entering the spinel crystal lattice resulting in crystal lattice distortion and local strain [11].Table 1
Calculated XRD parameters of the samplesCoFe2-xDyxO4 sintered at 500°C.
Samples
Crystallite size (±1 nm)
Lattice parameter (±0.01 Å)
X-ray density (±0.02 gm/cm3)
Specific surface area (±1 m2/gm)
x
=
0.00
22
8.37
5.33
51
x
=
0.05
16
8.37
5.44
69
x
=
0.10
13
8.36
5.57
83
x
=
0.15
11
8.36
5.69
96Figure 1
XRD patterns of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10 & 0.15) sintered at temperature of 500°C.


## 3.2. TEM Study

Few representative transmission electron micrographs of the dysprosium doped cobalt ferrite nanoparticles at the sintering temperature of 700°C are shown in Figure2. The average particle sizes are 49, 40, 43 and 37 nm for the concentration of x=0.00,0.05,0.10 and 0.15, respectively (Table 2). In the present case the particle size is more than that of the crystallite size, indicating that the particles of the synthesized samples consist of several crystallites. A decreasing trend of particle size was observed with the increase of Dy3+ concentration. Similar behaviour of particle size was observed by other workers also [12].Table 2
Particle size of samplesCoFe2-xDyxO4 sintered at 700°C.
Samples
Particle size (nm)
x
=
0.00
49
x
=
0.05
40
x
=
0.10
43
x
=
0.15
37TEM micrographs of CoFe2‒xDyxO4 sintered at 700°C. (a) x = 0.00; (b) x = 0.05; (c) x = 0.10; (d) x = 0.15.
(a)
(b)
(c)
(d)


## 3.3. FTIR Study

FTIR spectra of dysprosium doped cobalt ferrite which were synthesized at different sintering temperatures (300–900°C) were recorded in the range of 400–5000 cm−1 at room temperature. The obtained results are shown in Figures 3(a)–3(d). In ferrites, the band appearing at the higher wave number (ν1, 500–600 cm−1) is assigned to the tetrahedral complexes, while the band appearing at lower wave number (ν2, 400–450 cm−1) is assigned to the octahedral complexes. The higher wave number ν1 represents the vibration of Fe3+–O2‒ in the sublattice site A, while the lower wave number band ν2 represents the trivalent metal-oxygen vibration at the octahedral B-sites. The difference in the ν1 and ν2 band positions is expected because of the difference in the Fe3+–O2‒ distance for the octahedral and the tetrahedral sites [13]. It is seen that the FTIR spectra of the dysprosium doped cobalt ferrite nanoparticles show no residual organic compounds and confirm the formation of the organic free dysprosium doped cobalt ferrite above the sintering temperature of 500°C. At lower sintering temperature (300°C) of dysprosium doped cobalt ferrite, the observed peak at about 3410 cm−1 is attributed to the stretching vibration of the hydroxyl group and the other observed peaks at around 1400 and 1600 cm−1 are attributed to the symmetric and asymmetric stretching vibration of CO2 groups. The observed peak around 2330–2358 cm−1 is assigned to the aliphatic and aromatic C–H bond stretching. These bands start removing for higher sintering temperature due to the evaporation of CO2 [14]. The ratio of the line position of FTIR bands can be determined by [15] ν1/ν2=(Kt/K0)2 where Kt and K0 are the force constants for the M–O bonds in tetrahedral and octahedral sites, respectively.  Deviation of the ratio Kt/K0 from unity indicates that the expansion at one site is not equally compensated by the shrinkage at another site. In the present case the peak around 800 cm−1 becomes more and more narrower with increasing sintering temperature, which is due to the grain growth of the particles with increase in sintering temperature. The band positions of dysprosium doped cobalt ferrite sintered at 300°C are in the range of 567 cm−1 to 594 cm−1 for ν1 and 403 cm−1 to 424 cm−1 for ν2. The band positions of the samples sintered 500°C are in the range of 553 cm−1 to 595 cm−1 for ν1 and 410 cm−1 to 437 cm−1 for ν2. The band positions of the samples sintered 700°C are in the range 567 cm−1 to 587 cm−1 for ν1 and 410 cm−1 to 424 cm−1 for ν2. The band positions of the samples sintered 900°C are in the range of 560 cm−1 to 594 cm−1 for ν1 and 417 cm−1 to 430 cm−1 for ν2. The vibrational band positions for all the samples are shown in Table 3. It is observed that substitution of Fe3+ by Dy3+ causes shifting of band positions (Fe3+–O2‒) towards higher frequency side due to increased bond length at B-sites and lattice distortion. This also suggests the occupancy of Dy3+ at B-sites.Table 3
FTIR data of CoFe2-xDyxO4 samples sintered at 300, 500, 700, and 900°C.
Samples
300°C
500°C
700°C
900°C
ν
1 (cm−1)
ν
2 (cm−1)
ν
1 (cm−1)
ν
2 (cm−1)
ν
1 (cm−1)
ν
2 (cm−1)
ν
1 (cm−1)
ν
2 (cm−1)
x
=
0.00
567
403
553
410
567
410
560
417
x
=
0.05
574
417
581
411
574
417
581
417
x
=
0.10
581
424
594
430
584
417
587
424
x
=
0.15
594
424
595
437
587
424
594
430FTIR spectra of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10 & 0.15) sintered at different temperatures of (a) 300°C, (b) 500°C, (c) 700°C, and (d) 900°C.
(a)
(b)
(c)
(d)


## 3.4. Dielectric Behaviour

The dielectric constantε′of dysprosium doped cobalt (CoFe2‒xDyxO4) ferrite has been estimated from capacitance, C, of the pellets using the formula given below [16]:
(1)ε′=Cdε0A,
where d is the thickness of the pellets, A is the cross-sectional area in m2, and ε0 is the permittivity of free space. The variation of dielectric constant against frequency for different samples is shown in Figure 4. The values of dielectric constant are shown in Table 4. The dielectric constant of the dysprosium doped cobalt ferrite (CoFe2‒xDyxO4) in general decreases with the increase in the frequency.  However, in the present case some deviation was observed from this usual behaviour. For the sample sintered at 300°C, the dielectric constant is almost unchanged with the frequency at the particular concentrations of x = 0.00 and 0.05. Similar result is obtained for the sample sintered at 500°C (x = 0.10, 0.15), 700°C (x = 0.05, 0.10, and 0.15), and 900°C (x = 0.05, 0.10). An increase in the dielectric constant was observed for the undoped cobalt ferrite sintered at 500, 700, and 900°C. The decrease of dielectric constant with increasing frequency is due to the fact that above certain frequency of the electric field, the electron exchange between Fe2+ and Fe3+ ion cannot follow the variation of electric field. The space charge carriers in a dielectric material require a finite time to line up their axes parallel to the direction of the applied electric field. If the frequency of the field increases, a point is reached when the space charge carriers cannot cope up with the applied field. As a result the dielectric constant of these materials decreases. As the frequency of the field continuously increases, at some stage the space charge polarization would barely have started to move before the field reverses and makes virtually no contribution to the polarization and hence to dielectric. The increase in dielectric constant with frequency may be due to resonance effect. The resonance may arise due to the matching of the frequency of charge transfer between Fe2+↔Fe3+ ions and that of the applied electric field. Similar increase in the dielectric constant was obtained for the La doped cobalt ferrite [8, 17, 18]. The change in dielectric constant with increasing dysprosium concentration may be due to the migration of the Fe3+ ions from octahedral site to tetrahedral site. A similar behaviour was reported in case of the nickel substituted Co–Zn ferrite [6].It has been reported that dielectric properties of materials are sensitive to the method of synthesis, microstructure, and crystallite size. In the present case, two factors which have dominant effect are sintering temperature and concentration of dopant ions. At lower concentration Dy3+ ions are dissolved in spinel lattice; however, at higher concentration these ions cease to be dissolved, resulting in the presence of Dy3+ ions at grain boundaries at higher dopant concentration. On the other hand low sintering leads to incomplete crystallization; however, crystallization is prominent at higher sintering temperature [19]. The value of dielectric constant in the present case is affected by oxidation state of metallic ions, method of synthesis, and also the solubility of Dy3+ ion. This aspect was studied for nickel ferrite system [20]. Method of synthesis plays an important role in determining the dielectric properties. Synthesis routes which involve comparatively low heat treatment exhibit higher value of dielectric constant and high value of dielectric loss due to presence of organic free radicals and metastable phases. This type of behaviour was studied by Singh et al. [20]. Coprecipitation method requires comparatively higher value of thermal treatment than the nitrate route. This may be one reason for change in the dielectric constant [8]. Another issue is the solubility of rare earth ions in the ferrite matrix. The rare earth ions with larger ionic radii have limited solubility in the lattice. The trace amount of the phase which could not be detected by XRD such as the presence of Dy3+ ions on grain boundaries may take part in polarization processes and may cause an increase in the dielectric constant of the materials.Table 4
Dielectric constant ofCoFe2-xDyxO4 (x=0.00, 0.05, 0.10, and 0.15) at different sintering temperatures.
Samples
Frequency
Dielectric constant(ε′) at different sintering temperatures
300°C
500°C
700°C
900°C
x
=
0.00
75 kHz
180
1127
834
344
1 MHz
177
1370
1017
385
5 MHz
173
1559
1143
473
x
=
0.05
75 kHz
248
391
567
149
1 MHz
246
273
567
149
5 MHz
241
242
557
146
x
=
0.10
75 kHz
495
293
267
220
1 MHz
297
282
263
220
5 MHz
276
274
257
216
x
=
0.15
75 kHz
245
160
183
692
1 MHz
160
151
180
679
5 MHz
171
146
183
665Figure 4
Dielectric constant of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10 & 0.15) sintered at 300, 500, 700, and 900°C.


## 3.5. Dielectric Loss

Dielectric tangent loss (tanδ) of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10, and 0.15) was calculated using the relation [16]
(2)tanδ=ε′ε′′,
where ε′′ is the imaginary part of the dielectric constant and is a measure of the absorption of energy by the dielectric material from the alternating field, δ is the loss angle, and ε′ is the real part of the dielectric constant. The dielectric loss tangent versus frequency is shown in Figure 5. The values of the dielectric tangent loss (tanδ) at different sintering temperature are tabulated in Table 5. The dielectric tangent loss (tanδ) decreases with increase in the frequency and then becomes constant at higher frequencies for each sample. The value of dielectric tangent loss (tanδ) depends on a number of factors, such as stoichiometry, Fe+2 content, and structural homogeneity, which in turn depend on the composition and synthesis methods. The decrease in loss tangent with frequency may be attributed to the Maxwell-Wagner polarization [17] and conduction mechanism in ferrites. The dielectric loss tangent (tanδ) changes with increase in the dysprosium (Dy3+) concentration in cobalt ferrite. An increase in the dielectric loss tangent was observed for the case of undoped cobalt ferrite sintered at 700 and 900°C.Table 5
Dielectric loss tangent(tan⁡δ) of CoFe2-xDyxO4 (x=0.00, 0.05, 0.10 and 0.15) at different sintering temperatures.
Samples
Frequency
Dielectric tangent loss(tan⁡δ) at different sintering temperatures
300°C
500°C
700°C
900°C
x
=
0.00
75 kHz
0.037
0.045
0.034
0.028
1 MHz
0.005
0.158
0.151
0.159
5 MHz
0.001
0.072
0.067
0.118
x
=
0.05
75 kHz
0.010
1.79
0.0005
0.0002
1 MHz
0.001
0.253
0.0002
0.0001
5 MHz
0.001
0.0136
0.0001
0.001
x
=
0.10
75 kHz
2.006
0.195
0.041
0.0009
1 MHz
0.343
0.022
0.00481
0.0007
5 MHz
0.073
0.005
0.003
0.0006
x
=
0.15
75 kHz
1.644
0.159
0.051
0.0395
1 MHz
0.222
0.026
0.00481
0.00456
5 MHz
0.142
0.001
0.003
0.0107Figure 5
Dielectric loss in CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10 & 0.15) sintered at 300, 500, 700, and 900°C.


## 3.6.I-V Characteristic

The electrical resistivity of the samples was calculated using the formula(3)ρ=RAL,
where L is the thickness, R is the resistance, and A is the area (A=πr2) of the pellet. Figures 6(a)–6(d) show the I-V characteristics of the samples sintered at different temperatures. The value of electrical resistivity at room temperature is tabulated in Table 6. The electrical resistivity depends upon the crystal structure and composition of the materials. It changes with the increase in the dysprosium (Dy3+) concentration. In the present case of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10, and 0.15) samples, it varies in the range of 1.8 × 105 to 1.62 × 109 Ω-cm for different sintering temperatures. The electrical resistivity of Mn–Zn–Ce ferrites has also been reported in the range of 1.4 × 105 to 4.3 × 108 Ω-cm[21]. However, other reports show the electrical resistivity in the range 6.4 × 105 to 33.31 × 106 Ω-cm[8]. The temperature variation of resistivity of these materials is in progress.Table 6
Electrical resistivity(ρ) of CoFe2-xDyxO4 (x=0.00, 0.05, 0.10, and 0.15) at different sintering temperatures.
Samples
Electrical resistivity (Ω-cm) at different sintering temperatures
300°C
500°C
700°C
900°C
x
=
0.00
1.76
×
10
7
5.87
×
10
7
8.07
×
10
6
1.88
×
10
6
x
=
0.05
6.83
×
10
7
1.8
×
10
5
7.87
×
10
8
1.62
×
10
9
x
=
0.10
6.26
×
10
7
6.31
×
10
5
4.95
×
10
6
1.16
×
10
8
x
=
0.15
12.45
×
10
7
25.68
×
10
5
24.37
×
10
6
6.84
×
10
6I
-
V curves of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10 & 0.15) sintered at different temperatures (a) 300°C, (b) 500°C, (c) 700°C, and (d) 900°C.
(a)
(b)
(c)
(d)


## 4. Conclusions

The XRD, TEM, FTIR, dielectric constant, dielectric tangent loss, and electrical behaviour of CoFe2‒xDyxO4 (x = 0.00, 0.05, 0.10, and 0.15) was studied. In the present case the band positions of FTIR appearing at the higher wave number (i.e., ν1 = 500–600 cm−1) are assigned to the tetrahedral complexes, while lower wave number (ν2 = 400–450 cm−1) is assigned to the octahedral complexes. This shows the formation of pure spinel structure of dysprosium doped cobalt ferrite. The dielectric constant of the dysprosium doped cobalt ferrite (CoFe2‒xDyxO4) in general decreases with the increase in the frequency. However, some deviation was observed from this usual behaviour. For the sample sintered at 300°C, the dielectric constant is almost unchanged with frequency at the particular concentrations of x = 0.00 and 0.05. Similar result is obtained for the sample sintered at 500°C (x = 0.10, 0.15), 700°C (x = 0.05, 0.10, and 0.15), and 900°C (x = 0.05, 0.10). The values of electrical resistivity of the materials are in the range of 105–109 Ω-cm which may be suitable for the high frequency applications. The high value of dielectric constant is useful in capacitor dielectrics. The low value of dielectric constant is used as microwave absorbers in high frequency applications. In the present study, the different compositions of the materials are suitable for both low and high dielectric constant applications.



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*Source: 862415-2014-05-18.xml*