1 Introduction

Hexaferrites are classified into six types depending on chemical formulae and crystal structure. These include M-type, W-type, X-type, Y-type, U-type and Z-type. They have been used in a variety of applications and attracted much attention over the years. M-type hexaferrite is the most popular hard magnetic material in the industry; W-type hexagonal ferrite is a type of crucial gyromagnetic materials and Z-type and Y-type hexagonal ferrites are excellent soft magnetic materials in very high frequency (VHF) and ultra-high frequency (UHF).[16]In the recent years, a number of researchers have attempted the substitution of divalent ions, trivalent ions and their binary mixture in order to alter the structural, electrical and magnetic properties of W-type hexaferrites.[7,8]The crystal structure of W-type hexagonal ferrites is very complex and can be considered as a superposition of R and S blocks along the hexagonal axis with a structure of RSSR*S*S*, where R is a three-oxygen-layer block with composition BaFe6O11, S (spinel block) is a two-oxygen-layer block with composition Fe6O8 and the asterisk means that the corresponding block has been turned 180° around the hexagonal axis.[9] W-type hexaferrites continues to be very attractive materials for home appliances, electronic products, communication equipments and data processing devices because of their unique electrical and magnetic properties.[10] The magnetic and dielectric behaviour in W-type hexaferrite depends on many factors, such as preparation method, calcining temperature, amount and type of substitution, etc.[11]Rare-earth (RE) ions take on unpaired 4f electrons and the strong spin–orbit coupling of their angular momentum improves the overall electrical and magnetic properties. Using RE as dopants has been reported as an effective method in varying magnetic properties of ferrite materials. Many reports have recently shown that RE- substituted W-hexaferrites have exhibited improved magnetic properties.[12,13]RE elements have typical magnetocrystalline anisotropy and high coercivity, which may affect the electromagnetic properties of ferrite magically.[14,15]Usually the RE ions were substituted for Sr (Ba) or Fe, taking into accounts the ionic radii of the elements.[16] RE elements can also be used as inhibitor agents of the grain growth mechanism at high temperature.[17] According to this approach, we synthesized dysporium (Dy)-substituted W-type hexagonal ferrites and to study their structural, magnetic, microwave absorption and electrical properties of BaNi2Dy x Fe16−x O27 powders. We report here an investigation of the morphological, structural, magnetic and surface compositional characteristics of the products which has been carried out by means of X-ray powder diffraction (XRD), transmission electron microscope (TEM), vibrating sample magnetometer (VSM), vector network analyzer and electrical resistivity.

2 Experimental

A series of samples was prepared by the citrate sol–gel method with composition BaNi2Dy x Fe16−x O27 where in x = 0 .0, 0 .3, 0 .6 and 0 .9. First, stoichiometric amounts of ferric nitrate, barium nitrate, dysprosium oxide, and nickel nitrate were dissolved together in a minimum amount of citric acid aqueous solution at 80°C according to the formula of BaNi2Dy x Fe16−x O27 (x = 0 .0, 0 .3, 0 .6 and 0 .9). The molar ratios of citric acid to metal ions used were 1:1. Then, ammonia solution was added drop by drop to increase the pH to facilitate the formation of a homogeneous solution, and the solution was slowly evaporated until a highly viscous residue was formed. pH of the solution was adjusted to 7 .0. After that, the residue was dried immediately in an oven in the temperature range of 120–140°C. Finally, the dry gel was calcined at 1250°C for 4 h.

XRD analysis of powder samples were carried out by X-ray diffractometer equipped with CuK α radiation source (λ = 1 .5406 Å). The magnetic properties like magnetization values (M s) and coercivity (H c) were measured by a VSM at an applied field of 12 kOe at room temperature. The particle morphology was examined by TEM JEOL1230 with an accelerating voltage of 200 kV. The electrical properties were measured by two-probe method, using sensitive source meter model Keithly 2400.

The composite specimens were prepared by mixing doped strontium ferrite and acrylic resin powders with concentrations of 70:30 by weight. Mixture of ferrite powders with acrylic resin powders were plasticized and heated at 220°C and 5 .5 MPa. The pressed composites were fabricated in cylindrical form with a thickness of 1 .7 mm and a constant diameter of 40 mm. The reflection loss of the absorbers was calculated from the standing-wave-ratio (SWR) measured as a function of frequency using vector network analyzer (R&S-ZVK).[16] The vector network analyzer was fully calibrated before use.

3 Results and discussion

3.1 Crystal structure

The XRD patterns of the synthesized hexaferrite materials are presented in figure 1. XRD analysis reveals that all the observed diffraction peaks match well with the standard pattern of W-type hexaferrite (ICDD 00-051-1879). The observed peaks perfectly match with the standard pattern and have no extra peak except that of the pure W-type hexaferrites. All the samples show good crystallization, with well-defined diffraction lines. It is observed from figure 1 that the increase in the Dy3+ content causes the change in the intensity of the XRD characteristic peaks of BaNi2Fe16O27. Lattice parameters ‘a’ and ‘c’, as shown in table 1, are calculated from the XRD data using equation

$$\frac{1}{d^{2}_{hkl}} =\frac{4}{3}\left( {\frac{h^{2}+k^{2}+l^{2}}{a^{2}}} \right)+\frac{l^{2}}{c^{2}}, $$

where h, k and l are the Miller indices and d the interplaner spacing. The value for the lattice parameters ‘a’ and ‘c’ increases regularly with the addition of Dy ion whereas there is a little or no variation in the d-spacing values with respect to the 2-theta values. The observed phenomenon can be justified on the basis that the ionic radii of dysprosium (0 .104 nm) is comparatively higher than the ionic radius of Fe3+ (0 .64 Å). The average crystallite size of the samples is determined from the ‘full-width at half-maxima’ (FWHM) of (201) reflection by using the Debye–Scherrer formula[18]

$$D=\frac{0.9\lambda} {\beta \cos \theta_{\mathrm{B}}} , $$

where k is the shape constant, β the broadening of diffraction line measured at half-width of maximum intensity and λ the X-ray wavelength used for the analysis, i.e., (1 .542 Å). The calculated crystallite size of all the samples is in the range of 33–45 nm.

Figure 1
figure 1

XRD pattern of calcined powders at 1200°C: (a) x = 0, (b) x = 0.3, (c) x = 0.6 and (d) x = 0.9.

Table 1 The structural and magnetic parameters of BaNi2Dy x Fe16−x O27 (x = 0−0.9).

Figure 2 shows the TEM micrograph of synthesized particles by the sol–gel combustion. The TEM micrograph of nanoparticles indicates that the particles have a distribution of particle size from 40 to 50 nm. The images show that ferrite particles possess irregular non-spherical shapes with a broad size distribution. The images also clearly indicate that the particles are stacked on top of each other because of their mutual magnetic interaction.

Figure 2
figure 2

TEM micrographs of prepared powders.

3.2 Electrical and magnetic properties

The MH loops of all samples (x = 0, 0 .3, 0 .6 and 0 .9) are shown in figure 3. The values of coercive force (H c) and saturation magnetization (M s) were calculated for each composition and are listed in table 1. Results show that the coercive force (H c) increases with the increase of Dy concentration. The increase in H c for samples can be attributed to an enhancement of the magnetocrystalline anisotropy[17] with anisotropic Fe2+ ions locating on a 2a site and the grain size reduction which is usually found with RE substitutions, which is evident in table 1.[19,20]It should be noted that it is a well-known fact that the coercive force is heavily dependent upon grain size.[21] Also, our results show that saturation magnetization decreases with the increase in the Dy concentration. This behaviour may be due to the difference between the ionic radii of Dy3+ and Fe3+ which introduces local strain that may cause the disorder and modifications of local electronic states.[20] In general the RE substitutions weaken the super exchange interactions between Fe sites because of its strongly distorted environment[22] resulting in the reduction of total magnetic moment.

Figure 3
figure 3

Room temperature hysteresis loops of (a) x = 0, (b) x = 0 .3, (c) x = 0 .6 and (d) x = 0 .9.

The room temperature resistivity of all samples (x = 0, 0 .3, 0 .6 and 0 .9) are shown in figure 4. As shown in figure 4, the room temperature resistivity increases from a value 0 .83 × 107 to 6 .92 × 107 Ω cm with increasing Dy concentration. Hence the present samples can be used at higher frequencies due to low eddy current losses.[5] As Dy ions prefer to occupy octahedral sites followed by the migration of some Fe3+ ions to tetrahedral sites and converting them into Fe2+ ions in order to maintain overall electrical neutrality. As a result Fe3+ ions concentration is lowered on octahedral sites: the sites responsible for conduction in ferrites. All these factors would limit the hopping probability between Fe3+ and Fe2+ ions thereby enhancing the resistivity.

Figure 4
figure 4

Electrical resistivity vs. Dy concentration (x).

3.3 Attenuation properties

Electromagnetic (EM) wave attenuation is determined from the reflection loss (RL). In the case of a metal-backed single layer, RL is given Sharbati and Mola Verdi Khani[16]

$$ \text{RL}~(\text{dB}) =20\log\left| {\frac{Z_{\text{in}} -1}{Z_{\text{in}} +1}} \right|\!, $$
(1)
$${\kern-3.8pc}Z_{\text{in}} =\sqrt {\frac{\mu_{\mathrm{r}}} {\varepsilon_{\mathrm{r}}} } \tanh \left[j\frac{2\pi} {c}\sqrt {\mu_{\mathrm{r}} \varepsilon_{\mathrm{r}}} fd\right]\!, $$

where Z in is the impedance of the composites, Z 0 the intrinsic impedance of free space, c the light velocity, d the thickness of composite, f the frequency of the incident EM wave, μ the complex permeability and ε the complex permittivity. The impedance matching condition is given by Z in = 1, to represent the perfect absorbing properties. The 10 dB absorbing bandwidth means that the frequency bandwidth can achieve 90% of reflection loss, whereas a 20 dB absorbing bandwidth means that the frequency bandwidth can achieve 99% of reflection loss.

In general, when polycrystalline ferrites are placed in an ac field, two different resonance mechanisms are produced, i.e., the natural resonance and the domain wall resonance. For spinel ferrites, many experiments and analyses have shown that the natural resonance frequency is higher than the domain wall resonance.

The following relation gives the ferromagnetic resonance frequency for the barium hexaferrite

$$ f_{\mathrm{R}} =\frac{1}{2\pi} \eta (H_{\theta} H_{\varphi} )^{1/2}, $$
(2)

where η is the gyromagnetic ratio and H 𝜃 and H φ the out-of-plane and in-plane anisotropy fields, respectively. Equation (2) shows that the ferromagnetic resonance frequency depends on the magnetocrystalline anisotropy fields of barium ferrites, H 𝜃 and H φ .

Figure 5 shows the variation of reflection loss as a function of frequency for the hot-pressed hexaferrite composites with x = 0 .0, 0 .3, 0 .6 and 0 .9 and of 1 .7 mm thickness. As shown in figure 5, sample ‘ x = 0’ shows a minimum reflection loss of −19 dB at 14 .9 GHz, sample ‘x =0.3’ shows −26 dB at 16 .1 GHz, sample ‘x = 0.6’ shows −40 dB at 16 .2 GHz and sample ‘x = 0.9’ shows −42 dB at 17 .4 GHz. The frequency range for attenuation higher than 10 dB covers 13 .5–18 GHz for sample ‘x =0.9’, 12 .9–17 .2 GHz for sample ‘x =0.6’, 13 .1–14 and 15–16 .2 GHz for sample ‘x =0 .3’ and 14 .1–15 .3 GHz sample ‘x = 0’. Also, results indicate that the peak in the absorption curves shift toward higher frequency by substitution of Dy3+ in the W-type hexaferrite samples.

Figure 5
figure 5

Absorption characteristics of the composite: (a) x = 0, (b) x =0.3, (c) x =0. 6 and (d) x =0.9.

4 Conclusion

Structural, magnetic properties and DC electrical resistivity properties of Dy-substituted Ni–W-type barium hexagonal ferrite for different compositions (x =0.0–0 .9) prepared via the citrate sol–gel method have been investigated. The ferrite with different Dy substitutions all composed of single W-type phase and the lattice parameters c increases with increasing Dy substitution and the Dy substitutions have an effect on the cation occupation in the ferrites. The room temperature DC electrical resistivity increases by increasing Dy contents. Results show coercivity (H c) increases from 530 to 560 Oe and saturation magnetization (M s) decreases from 74 to 53 emu g−1 with increasing Dy substitution. The microwave absorbing properties were investigated for BaNi2Dy x Fe16−x O27 (70wt%)–polymer (30%) composites in the frequency range of 12–20 GHz. From these results, it can be concluded that the investigated ferrites may be expected to find potential application in reduction of EMI and RCS in stealth technology.