Magnetic and microwave absorption properties of barium hexaferrite doped with La3+ and Gd3+

Document Type : Research Paper


1 Department of Chemistry, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Department of Chemistry, Yadegar-e- Imam Khomeini(RAH) Shahr-e- Rey Branch, Islamic Azad University, Tehran, Iran

3 Department of Organic Chemistry, Faculty of Pharmaceutical Chemistry, Tehran Medical Sciences, Islamic Azad University, Tehran, Iran

4 Department of Engineering, Imam Hossein University, Tehran, Iran


In this paper, BaLa‌xGdxFe12-2xO19 (x=0.2, 0.4, 0.6 and 0.8) were synthesized via sol-gel auto-combustion method. Fourier transform infrared spectroscopy (FTIR) of samples was represented that the bands at 400 and 500 cm-1 were related to the formation of hexaferrite phase. The (x-ray diffraction) XRD patterns were matched exactly with the structure of barium hexaferrite. (Field emission scanning electron microscopy) FESEM were represented the hexagonal shapes of all products. Magnetic analysis of barium hexaferrite were investigated by (vibrating sample magnetometer) VSM. The saturation magnetization of all samples decreased by increasing dopant’s substitution due to the different occupation sites of dopants instead of Fe3+ (64 to 36.56 emu/g) in the hexaferrite structure. The coercivity increased because of its reverse relation with saturation magnetization (5010 to 5500 Oe). Microwave absorption properties of samples was investigated by (vector network analyzer) VNA. The maximum value of reflection loss was -7.8 db at 10.4 GHz frequency in 3mm thickness for x=0.4 sample.



Electromagnetic absorbing materials (EAM) were utilized to retain unwanted microwaves. Consequently, EMA has been developed in recent years for information security and to protect human in risky environments. EMA was classified into the resonant absorbers (ferrites) and the dielectric absorbers (foams). Due to the high thickness of dielectric absorbers, resonant absorbers were used as the practical electromagnetic absorbing materials.

One of the most promising and practical EMA are M-type hexagonal ferrites. Ferromagnetic barium hexaferrites were applied in different applications such as permanent magnets, data storage recording, electrical and microwave absorbing materials. M-type hexagonal ferrites were made from one R and one S block. The S block was composed of two spinel units (MeFe2O4) and the R block was made of three oxygen layers. In the middle of each layer, one of the oxygen atoms were substituted by barium atom. The unit formula of hexaferrites is SRS*R* in which * is the rotation of the block around c axis (1).

With their uniaxial anisotropy along c axis, the resonance frequency of barium hexaferrites is about 46 GHz. Fe3+ ions have occupied five various positions: octahedral sites (12k, 2a, and 4f2), tetrahedral site (4f1) and trigonal bipyramidal site (2b) (2-6). For modifying the natural resonance frequency, magnetic and structure of barium hexaferrites, Fe3+ were substituted by divalent, trivalent and tetravalent ions such as Co2+–Ti4+, Mg2+–Ti4+, Ni2+–Ti4+, Cr3+ ,and Ga3+ (7). The results were shown that magnetic properties of doped samples were changed significantly. Rare earth doping such as La3+ (8), Pr3+ (9), Nd3+ (10), Sm3+(11), has been investigated widely because of the comparable ionic radius differences of Fe3+ and rare earth.

Many synthesis methods such as hydrothermal (12), co-perception (13) and sol-gel (14) were used for fabricating hexaferrites (15). Amongst them, sol-gel auto-combustion method was easily fabricated, convenient and cost-effective. Because barium hexaferrite doped with La3+ and Gd3+ were investigated rarely, for comparing and improving the absorption properties of samples, BaLa­xGdxFe12-2xO19 (x=0.2, 0.4, 0.6 and 0.8) in consistent with pure hexaferrite were synthesized by easy and affordable sol-gel auto-combustion methods to obtain a series of novel samples with light weight and high electromagnetic absorbance percentage. BaLa­xGdxFe12-2xO19 (x=0.2, 0.4, 0.6 and 0.8) were synthesized via sol-gel auto-combustion method and the magnetic and structural properties of all samples were investigated.


Ba(NO3)2, Fe(NO3)3, La(NO3)2, Gd(NO3)2 and citric acid (all were purchased from Merck Company) was used for synthesis without any purification. Metal oxide salts and citric acid was dissolved in deionized water and then the solution was heated up to 80°C. Ammonium solution was added to adjust pH to 7. The solution was heated up to 110°C. After two hours elapsed, the gel ignited, and a brown powder was gained. The products was calcined at 900°C for 4 hours.

Sample preparation for VNA analysis

The samples were homogeneously dispersed in molten paraffin with the mass ratio of 70:30. The mixture were molded in the rectangular template with 22.86×10.16×3mm diameter.


By using a Bruker-Tensor 27, the FTIR spectrum was obtained. The XRD patterns was revealed by utilizing Xpert diffractometer using CuKα line radiation at 2θ scanning 20-80 with the step size of 0.02°. The FESEM micrographs was drawn by SIGMA VP-500, ZEISS model microscope. By utilizing VSM ZVK, R&S, the magnetic properties and hysteresis loops of samples were gained.


FTIR spectrums

FTIR spectrums of samples were presented in Fig. 1. Two main bands at about 400 and 500 cm-1 are related to the vibrational modes of Fe-O in octahedral and tetrahedral structures. The formation of hexaferrite were confirmed by these two main bands (16). By increasing the dopants, octahedral bands were shifted to the lower wavenumbers (582.41 to 528.41 cm-1) due to the heavier mass of dopants.

XRD analysis

The XRD patterns of all samples were shown in Fig. 2. XRD patterns have confirmed the formation of hexaferrite structure in all samples which matched with JCPDS NO 43-0002 (17). The cell volume and the lattice parameters were calculated from the equations (1) and (2):



Where d is the crystal plane distance, a, anc are lattice parameters, hk and l are Miller indices and V is the cell volume (18). Due to the larger radius of La3+ (1.22Å) and Gd3+ (1.07Å) in comparison to the Fe3+ (0.63Å), the crystallite data (a, c) of BaLa­xGdxFe12-2xO19 (x=0.2, 0.4, 0.6 and 0.8) were enhanced by increasing dopants substitution. As a result, the cell volume of samples were increased by substitution of dopants (643.60 to 664.63 A3) (19). The ratio of c/a in all samples was about 3.95, which is matched completely with the value of M- type hexaferrites.

According to Scherer’s equation which k (0.89) is constant, λ (1.540Å) is the wavelength of the X-ray radiation, θ refer to diffraction angle and β is the FWHM)(20) , the crystallite size of nanoparticles crystal size were 68.90, 82.31, 98.46, 117.73, 119.25 nm for 0.0, 0.2, 0.4, 0.6 and 0.8 dopants which confirm the nanometric scale of synthesized powders. By ascending the number of dopants, the crystallite size were increased from 68.90 to 119.25 nm (Table 1). The lattice parameters of the samples were revealed in Table 1.

FESEM images

FESEM images of BaLa­xGdxFe12-2xO19 (x=0.2, 0.4, 0.6 and 0.8) were represented in Fig. 3. The hexagonal shapes of barium hexaferrite were observed at the pictures. Agglomeration of samples were due to the magnetic properties of barium hexaferrite. The porosity of samples were observed in all pictures. The average particle size of BaLa­xGdxFe12-2xO19 (x=0.2, 0.4, 0.6 and 0.8) for different substitution values, were about 84, 117, 144 and 165nm. By enhancing the dopant values, the average particle size were increased from 52 to 165 nm. According to the average particle sizes of barium hexaferrites which were smaller than the critical values (650 nm), the samples have belonged to the single domain wall material (21).

The EDX analysis of all the samples were prepared. Due to the EDX analysis, the presence of all elements was indicated.

VSM analysis

VSM magnetic analysis of samples were represented in Fig. 4. According to the coercivity values (Table 2) of all samples (about 5000 Oe), BaLa­xGdxFe12-2xO19 (x=0.2, 0.4, 0.6 and 0.8) were classified into the hard magnetic materials. Iron in hexaferrite structures were occupied five different positions (three octahedral sites (12k2a, and 4f2), one tetrahedral site (4f1) and one trigonal bipyramidal site (2b)). By adding La3+ as a dopant, the saturation magnetization were decreased (63.81 to 51.78 emu/g). La3+. Non-magnetic La3+ were occupied octahedral spin up positions which decreased the whole net magnetic moment (63.81 to 36.56 emu/g). On the other hand, replacing La3+ on the crystal structure of hexaferrite can cause distortion especially cationic vacancies which enhance spin casting effects and consequently reduce the saturation magnetization. When Fe3+ substituted by Gd3+, the superexchange interactions of Fe3+-O-Fe3+ reduced. High differences of ionic radii of La3+ (1.22Å), Gd3+ (1.07Å) and Fe3+ (0.63Å) increase the distance between the magnetic ions and reduce the interactions which cause the reduction of M(22-26). According to the  equation (in which Hc is coercivity,  is the permeability of free space, is magnetocrystalline anisotropy constant and MS is saturation magnetization), by decreasing MS, the coercivity increased from 5000 to 5500 Oe. Mr/Ms ratio or squareness ratios of samples are in the range of 0.4-0.6 which could select each sample in various industrial applications. Variations of the saturation magnetization and the coercivity of BaLa­xGdxFe12-2xO19 (x=0.2, 0.4, 0.6 and 0.8) versus dopants content were represented in Fig. 5. By increasing the dopants content, M(emu/g) were decreased while H(Oe) were increased.

VNA Analysis

Microwave absorption properties of products was studied by reflection loss, consequently, the reflection loss can be calculated by following equation (3) and (4):



In this equations, Zin is the input impedance,  is the permeability,  is the permittivity, f is the microwave, c is the light velocity and is the thickness of the absorbing layer.

The reflection loss versus frequency (in the X-band: 8-12 GHz) curves was presented in Fig. 6. The reflection loss value for x=0 was not observable. For x=0.2 the reflection loss value was reached to the -3.6 db at 10.4 GHz frequency. For x=0.6 the reflection loss value was increased to the -4 db at 10.6 GHz frequency. Then, at x= 0.8 the reflection loss value was enhanced to -3.5 db at 10.5 GHz frequency. The highest value of reflection loss was -7.8 db at 10.4 GHz frequency for x=0.4. By increasing rare earth dopants, the microwave absorption properties improved. In comparison to the pure barium hexaferrites which represented maximum reflection loss of -2 db without any strong peak, the doped products indicate better and sharper microwave absorption properties.


BaLa­xGdxFe12-2xO19 (x=0.2, 0.4, 0.6 and 0.8) were synthesized successfully via sol-gel auto-combustion method. FTIR spectrums were represented two bands at 400 and 500 cm-1- which were related to the vibrating modes of tetrahedral and octahedral vibrations. XRD patterns were revealed the formation of pure barium hexaferrite without any impurities. The crystallite data were revealed that due to the bigger radius of La3+ and Gd3+ rather than Fe3+, lattice parameters such as a, c and crystallite size were increased. Hexagonal shapes of barium hexaferrite were seen in all samples. The synthesized samples have belonged to the single domain wall materials. All samples were divided into the hard magnetic materials. By substituting La3+ and Gd3+ instead of Fe3+, the saturation magnetization were decreased due to the non-magnetic properties of rare earth. The coercivity of samples were increased by substitution of dopants because of the reverse relation of coercivity and saturation magnetization. The highest value of reflection loss was -7.8 db at 10.4 GHz frequency in 3mm thickness for x=0.4 sample.


The authors declare that there are no conflicts of interest regarding the publication of this manuscript.


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