Research Article | Open Access

M. Penchal Reddy, W. Madhuri, M. Venkata Ramana, I. G. Kim, D. S. Yoo, N. Ramamanohar Reddy, K. V. Siva Kumar, D. V. Subbaiah, R. Ramakrishna Reddy, "Possibility of NiCuZn Ferrites Composition for Stress Sensor Applications", *Journal of Ceramics*, vol. 2013, Article ID 901375, 6 pages, 2013. https://doi.org/10.1155/2013/901375

# Possibility of NiCuZn Ferrites Composition for Stress Sensor Applications

**Academic Editor:**Zhenxing Yue

#### Abstract

NiCuZn ferrite with composition of (NCu_{0.10}Zn_{0.60}F) (where , 0.02, 0.04, 0.06, 0.08, and 0.10) was prepared by the conventional ceramic double sintering technique. The formation of single phase was confirmed by X-ray diffraction. The microstructural features were also studied by electronic microscopy and are reported. Initial permeability measurements on these samples were carried out in the temperature range of 30 to 300°C. The effect of external applied stress on the open magnetic circuit type coil with these ferrite cores was studied by applying uniaxial compressive stress parallel to the magnetizing direction and the change in the inductance was measured. The variation of inductance (Δ*L/L*)% increases up to certain applied compressive stress and there after it decreases, showing different stress sensitivities for different compositions of ferrites studied in the present work. The variation of ratio of inductance (Δ*L/L*)% with external applied compressive stress was examined. These results show that the Ni_{0.42}Cu_{0.10}Zn_{0.60}Fe_{1.76}O_{3.76} and Ni_{0.44}Cu_{0.10}Zn_{0.60}Fe_{1.72}O_{3.72} samples are found to be suitable for inductive stress sensor applications.

#### 1. Introduction

It is well known that the effect of stress is very important in the magnetization process of ferrites [1]. The magnetic properties of ferrites such as permeability, coercivity, and hysteresis loop change with the application of stress [2, 3]. The effect of external applied stress can be observed in ferrites as a change of inductance ()% when compressive stresses are applied. These variations of permeability with applied stress in these samples can be attributed to the magnetostrictive contributions of varied amounts of nickel and iron compositions. For small compressive stresses, the stress raises the initial permeability with negative magnetostriction and for large tensile stresses the permeability decreases [3]. The magnetoelastic properties of ferrites are interesting subjects for investigations to determine the possibilities of their use in the construction of measuring sensors [4, 5]. Over the last decade, manganese substituted cobalt ferrites have been the dominant ferrite materials for stress sensor applications due to their large magnetomechanical effect and high sensitivity to stress [6–11]. Magnetic sensors play a significant role in physical measurements used in all kinds of applications [12, 13]. The most often used magnetic phenomena in today’s magnetic sensor technology are the magnetoresistance [14, 15], the magnetoimpedance [16, 17], the magnetostriction [18, 19], the electromagnetic induction [20], and the Hall effect [21]. There also exist other effects usable in sensing applications, both macroscopic and microscopic [22]. Due to superior mechanical and magnetic properties in ferrites they seem to be suitable for construction of force and stress sensors [23, 24].

This led to systematic investigation of studies on the stress sensitivity of series of NiCuZn [25], MgCuZn, and NiMgCuZn [26] ferrites. Incidentally it has been noticed from these studies that certain NiCuZn ferrite compositions can be used for stress sensor applications. In view of this the details of synthesis of those NiCuZn ferrite compositions suitable for stress sensor applications and their stress dependence studies are reported in this paper.

#### 2. Experimental Procedure

A series of six nonstoichiometric compositions of NiCuZn ferrite with compositions shown in Table 1 have been prepared by the conventional double sintering method using analytical grade NiO, CuO, ZnO, and Fe_{2}O_{3} in their respective proportions. These oxides were weighed and intimately mixed in stoichimetric proportions. These constituents were ball milled (RETSCH PM - 200, Germany) in agate bowls with agate balls in acetone medium for 20 h. The slurry was dried and the dried powders were loosely packed in the form of cakes. These cakes were presintered in closed alumina crucibles at 800°C for 2 h. The presintered cakes removed from the furnace were crushed and ball milled in an acetone medium in agate bowls with agate balls for another 24 hours to obtain fine particle size. These slurries after drying were sieved to obtain uniform particle size.

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a: Ni_{0.42}Cu_{0.10}Zn_{0.60}Fe_{1.76}O_{3.76}, b: Ni_{0.44}Cu_{0.10}Zn_{0.60}Fe_{1.72}O_{3.72}, c: Ni _{0.46}Cu_{0.10}Zn_{0.60}Fe_{1.68}O_{3.68}, d: Ni_{0.48}Cu_{0.10}Zn_{0.60}Fe_{1.64}O_{3.64}, e: Ni _{0.50}Cu_{0.10}Zn_{0.60}Fe_{1.60}O_{3.60}, f: Ni_{0.52}Cu_{0.10}Zn_{0.60}Fe_{1.56}O_{3.56}. |

The presintered green powders were mixed with 2% polyvinyl alcohol as a binder and were compacted in the form of disks of diameter 10 mm and 2 mm height, toroids of 12 mm outer diameter (OD), 8 mm inner diameter (ID) and 4 mm height and cylinders of diameter 10 mm and length nearly 20 mm at 200 MPa with a suitable die. The compacted bodies were conventionally sintered in a programmable furnace (V.B. Ceramic Consultants, Chennai, India) at a temperature of 1250°C for 2 hours and were cooled to room temperature at 80°C/hr. The sintering schedule includes half an hour dwelling time at 110°C to remove moisture from the samples and one-hour binding burning time at 600°C. Proper care was taken to avoid zinc evaporation by providing ZnFe_{2}O_{4}. The density of the sintered specimens was measured by Archimedes’s method. All the samples were structurally characterized using Philip high resolution X-ray diffraction system (PM 1730, Germany) with radiation. Microstructures of sintered samples were investigated using JOEL (JSM Model 6360, Japan) scanning electron microscope. The initial permeability () of these ferrite toroids was evaluated using the standard formulae from the inductance measurements carried out at a frequency of 10 kHz using computer controlled impedance analyzer (Hioki Model 3532–50 LCR Hi-Tester, Japan). These measurements were carried out in the temperature range 30 to 300°C. In order to study the effect of external stress, uniaxial compressive stress parallel to the magnetizing direction was applied to the cylindrical shaped ferrite cores using uniaxial press system. The stress magnitudes were varied from 0 to 10 MPa. The change in inductance was measured using the above-mentioned LCR Hi-Tester by employing 100–120 turns coil on each cylinder. The initial permeability was calculated using the relation
where is the series inductance; is the number of turns of winding; is the height of the toroid in inches; is the outer diameter of toroid; and is the inner diameter of toroid, respectively.

#### 3. Results and Discussion

Figure 1 represents the typical X-ray diffractograms of non-stoichiometric NiCuZn ferrite samples, respectively. The X-ray diffraction analysis of the ferrite samples shows the formation of single phase spinel structure. The X-ray lines show considerable broadening, indicating the fine particle nature of the ferrite powder.

The variation of the lattice parameter “” as a function of nickel ion content is depicted in Figure 2. It is noticed that the lattice parameter increases with the nickel ion content in the lattice. This variation can be explained on the basis of an ionic size difference of the component ions. It may be pointed out here that the ionic radii of Ni^{2+},Cu^{2+}, and Zn^{2+} are almost same with the experimental error that is, 0.72 Å, 0.74 Å, and 0.74 Å, respectively [27]. However the lattice parameter is found to increase systematically with increase in nickel content.

The SEM photographs of the sintered samples were recorded to understand the microstructure of the NiCuZn ferrites. Scanning electron microscopy (SEM) of powder sintered at 1250°C/2 h shows an increase in particle size increasing the nickel concentration [28]. Figures 3(a) and 3(b) show the microstructures of fracture surfaces of the sample b (Ni 0.44) and sample d (Ni 0.48) (Table 1). It is well known that the initial permeability characteristics depend not only on chemical composition but also on the microstructure of the sintered body. Desired magnetic properties of ferrite can be achieved by the control of microstructures [29]. Small and uniform grain size is favourable to obtain low power loss, but large grain size is favourable to get high permeability [30].

**(a)**

**(b)**

Figure 4 shows the variation of the initial permeability versus the nickel content for samples at room temperature (27°C). It can be noticed from the figure that the initial permeability shows a maximum at 0.48 nickel content in these nonstoichiometric NiCuZn ferrospinels. This may be attributed to the fact that the magnetocrystalline anisotropy constant () becoming zero at this composition of nickel [31, 32].

The initial permeability as the function of temperature (at constant frequency, 10 kHz) from room temperature to Curie point was also studied. The temperature dependence of magnetic anisotropy can be inferred from the temperature dependence of initial permeability as shown in Figure 5. It can be noted from Figure 5 that as the temperature increases the initial permeability remains constant up to a certain temperature and increases to a peak value and then abruptly falls to a minimum value. The temperature at which this abrupt fall takes place is the magnetic Curie transition temperature . The magnetic initial permeability for the material is expected to strongly depend on the microstructure, as the initial permeability represents the mobility of magnetic domain wall in response to the small applied field [33]. It is proved by Figures 3(a) and 3(b) that the magnetic permeability of the large-grain samples is larger than the fine-grain ones.

The initial permeability is an important magnetic property to study the quality of soft ferrites. Generally, the initial permeability depends on two factors [34] namely, contribution from spin rotation and contribution from domain wall motion. But the contribution from spin rotation is smaller than domain wall motion [35]. The permeability due to domain wall motion is given by [36] where is saturation magnetization, is mean grain size, and is magnetic domain wall energy, which is proportional to magnetocrystalline anisotropy constant [37, 38].

Thus where is the initial permeability of domain wall motion.

The magnitudes of initial permeability increased with increasing content of nickel up to 0.48 after decreasing with increasing nickel content and interestingly the Curie transition temperature remained fairly constant around 200°C. The figure reveals that there is a flat temperature response of in all these samples. The Curie transition temperature and permeability behaviour as a function of nickel content in these ferrites were published in earlier communication [25].

The variation of ratio of inductance change ()% as a function of applied compressive stress is shown in Figure 6. From an examination of Figure 6 it is clear that in samples a and b the ()% values decrease with increasing external stress. In the case of samples d and f, there is an increase of ()% up to certain applied stress and thereafter it decreases. At higher concentrations of nickel the ()% increases up to a certain stress and decreases with further raise in external compressive stress showing a peak value. Exactly, similar behaviour was noticed by Kanada et al., [39] in NiMgCuZn ferrites at 4 MPa. For example these peak values are 3.5 MPa, 2 MPa, and 3.5 MPa for nickel contents 0.48, 0.50, and 0.52, respectively. In the present work, we have studied variation of inductance at low concentration of nickel. This type of behaviour dependency of ()% on stress can be utilized for the development of a sensor for detection of stress variations.

#### 4. Conclusions

The initial permeability measurements were carried out in the temperature range 30–300°C in NiCuZn ferrites. In the present study it has been noticed that there is a linear decrease of ()% with increasing external applied stress in ferrite compositions with nickel 0.42, and 0.44 concentration. The compositions Ni_{0.42}Cu_{0.10}Zn_{0.60}Fe_{1.76}O_{3.76}, and Ni_{0.44}Cu_{0.10}Zn_{0.60}Fe_{1.72}O_{3.72} showed best magnetic properties among the five compositions and would be prominent materials for inductive stress sensor applications.

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Copyright © 2013 M. Penchal Reddy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.