1 Introduction

The distinct properties of ferrite nanopowders have caused more interest in the science community because high surface to volume ratio resulting in novel phenomena’s of nanomagnetism such as superparamagnetic, magnetic quantum tunneling and spin-glasslike behavior etc. [1].

The cubic spinel ferrites structure AB2O4 is a face-center cubic structure based on the oxygen ions. There are eight formula units of each spinel cubic unit cell. And it contains 64 tetrahedral sites (A sites) and 32 octahedral sites (B sites) in each spinel cubic unit cell. So, the chemical and physical properties of ferrite nanopowders are greatly influenced by the formula and structure, which are sensitive to the preparation methods [2]. Different kinds of cations can be situated in the structure of AB2O4 in tetrahedral and octahedral sites to change its properties. The chemical and physical properties of cubic spinel ferrites can be tuned systematically by changing the kinds of cations with the same spinel cubic structure [3,4,5].

There are some researchers have investigated the influence of Al concentration on the properties of the spinel ferrite, such as Ni ferrite [6, 7], MnNiZn ferrite [8], Li ferrite [9], Co ferrite [10,11,12] and NiZn ferrite [13, 14]. The effects of Al substitution on the properties of the NiZnCo bulk ferrite with lower sintered temperature are investigated in the previous work [15]. However, there are no reports on the effects of Al substitution on the structural, magnetic and dc electrical properties of the NiZnCo ferrite nanopowders.

According to the above reasons, Al substituted NiZnCo ferrite nanopowders were prepared by sol–gel auto-combustion method because it has mainly three advantages. To start with, it can use inexpensive precursors. In addition, it is a simple preparation method. Finally, it can obtained well dispersed homogenous, nano-sized and highly reactive ferrite powder with low sintering temperature [16, 17]. Compared with the bulk materials, there are some different efforts of Al substitution on the properties of NiZnCo ferrite nanopowders. Especially the temperature dependence of dc resistivity can be divided into two regions, including the metallic conduction part and semi-conduction part. So, the influence of Al substitution on the structural and electromagnetic properties of NiZnCo ferrite nanopowders are studied.

2 Experimental procedures

2.1 Preparation process

The ferrite nanopowders samples with chemical formula Ni0.4Zn0.5Co0.1AlxFe2−xO4 (x = 0, 0.05, 0.10, 0.15, 0.20) were prepared by sol–gel auto-combustion method. The stoichiometric quantities of analytical grade Ni(CH3COO)2·4H2O, Zn(CH3COO)2·2H2O, Co(NO3)2·6H2O, Fe(NO3)3·9H2O and Al(NO3)3·9H2O were used as raw materials. The nitrate were dissolved and stirred in deionization water. After the nitrates complete dissolution, the citric acid was added to the dissolved solution and the molar concentration ratio of C6H8O7·H2O and nitrates was taken as three to one. Then, the solution form the gel precursors after stirring for 3 h at 80 °C. The pH value is adjusted to 7 with the aqueous ammonia-solution at room temperature. The dry gel precursor was obtained after the solution drying at 90 °C in the furnace. Finally, the ferrite nanopowders is obtained when the dried gel was burned in self-propagation combustion.

2.2 Characterization and property measurements

The thermal decomposition of the as-prepared precursor was analyzed by Shimadzu DTG-60 thermal analyzer. The phase analysis of the nanopowders was measured by DX 2700 X-ray diffractometer at room temperature. The MH loops of samples were performed at room temperature by TOEI VSM-5S-15 vibrating sample magnetometer. The MT curves of samples were obtained by Lakeshore model 7304 vibrating sample magnetometer from room temperature to 500 °C. The temperature dependence of direct current resistivity was performed by Keithley 6517B high resistance meter from room temperature to 300 °C.

3 Results and discussion

3.1 Thermal decomposition of the as-prepared precursor

The minimum calcination temperature of the complete decomposition process can be determined by the thermal behavior measurements of the dried precursors [18]. The DTA-TG curves in air for the dried gel precursor of Ni0.4Zn0.5Co0.1Al0.1Fe1.9O4 are shown in Fig. 1. The endothermic peaks before 200 °C due to the evaporation of water molecules. The weight loss is about 14%. The exothermic peak at about 220 °C is attributed to the decomposition of precursor and ferrite formation with CO2, N2, and H2O gas releasing, and the weight loss is about 65%. This sudden decomposition of the precursor is obtained in other systems [18, 19]. Furthermore, an exothermic peak obtained at about 355 °C in DTA curve is attributed to the oxidative decomposition of the surplus nitrate and organic substance. The weight loss is about 4.5%. It is noticed that there is no obvious weight loss obtained when the temperature is more than 430 °C.

Fig. 1
figure 1

DTA–TG curves of precursors with Ni0.4Zn0.5Co0.1Al0.1Fe1.9O4

3.2 Structural properties

Figure 2 shows the XRD patterns of Ni0.4Zn0.5Co0.1AlxFe2−xO4 ferrite nanopowders. It indicates that there is ZnO secondary impurity phase when x ≥ 0.10. The lattice constant (a), nanopowder size (D) and X-ray theoretical density (dx) are calculated by XRD data and the results are listed in Table 1. a, D and dx decrease from 0.8406 to 0.8372 nm, 26.0 to 20.1 nm and 5.32 to 5.25 g/cm3, respectively.

Fig. 2
figure 2

XRD patterns of Ni0.4Zn0.5Co0.1AlxFe2−xO4 ferrite nanopowders

Table 1 Variations of lattice constant (a), crystallite size (D) and X-ray theoretical density (dx) of Ni0.4Zn0.5Co0.1AlxFe2−xO4 ferrite nanopowders

The lattice parameter (a) of the samples is calculated using the relation [20]:

$${a_{{\text{exp}}}}={d_{{\text{hkl}}}}\sqrt {{h^2}+{k^2}+{l^2}}$$
(1)

where (h k l) are the Miller indices and dhkl is the inter-planar spacing. The average crystallite size is calculated according to Debye–Scherrer equation [20,21,22]:

$$D=\frac{{0.9\lambda }}{{\beta \cos \theta }}$$
(2)

where λ is wavelength of the X-ray radiation, β is the full width at half maxima in radian and θ is the Bragg’s angle. The X-ray densities (dx) are calculated using the following relation [23, 24]:

$${d_{\text{x}}}=\frac{{8{M_{\text{W}}}}}{{{N_{\text{A}}}{a^3}}}$$
(3)

where MW is the molecular weight; NA is the Avogadro’s parameter and a is the lattice parameter.

The lattice constant decrease with Al substitution increasing because the bigger ionic radius of Fe3+ ions (0.067 nm) is replaced by smaller Al3+ ions (0.051 nm) which results in the constriction in the dimensions of unit cell. The decrease of D with Al substitution increasing demonstrates that Al substitution restrains the crystal growth. Similar result in grain size with Al substitution increasing is also observed in MnZn, Co, Ni, and NiZn ferrite system [7, 9, 12, 14, 25]. The reduction of molecular weight from 237.8 to 232.0 is due to the fact that Fe3+ ions with higher atomic weight (55.845) is substituted by lower atomic weight Al3+ ions (26.982). Consequently, it reduces the X-ray theoretical density.

3.3 Magnetic properties

The hysteresis loops (MH) of Ni0.4Zn0.5Co0.1AlxFe2−xO4 ferrite nanopowders are shown in Fig. 3. Figure 4 shows the variation of saturation magnetization (Ms) and coercivity (Hc) of ferrite nanopowders as a function of Al substitution (x). It shows that Ms has the maximum value (75.43 emu/g) and Hc reaches the minimum value (81.59 Oe) when Al substitution (x) is 0.10.

Fig. 3
figure 3

MH loops of Ni0.4Zn0.5Co0.1AlxFe2−xO4 ferrite nanopowders

Fig. 4
figure 4

Variation of Ms and Hc with x for Ni0.4Zn0.5Co0.1AlxFe2−xO4 ferrite nanopowders

For spinel ferrite, the composition, cation distribution, structure, grain size, defects and internal strain can influence the magnetic properties. Based on Néel’s two sublattice model of ferrimagnetisms [26], the magnetic moment of spinel ferrite can be determined by \(M=\left| {{M_{\text{B}}} - {M_{\text{A}}}} \right|\), where MA is the magnetization of A-site and MB is the magnetization of B-site. For bulk ferrite, the non-magnetic Al3+ ions (0 µB) replace the magnetic Fe3+ ions (5 µB) at B-sites will reduce MB and hence make the magnetic moment decrease. This result has been obtained in the previous work concerned the bulk NiZnCo ferrite [15]. However, compared with the previous work [15], Ms of NiZnCo nanopowders increases with Al substitution increasing when x ≤ 0.10 which is shown in Figs. 3 and 4. The different variation of Ms with Al substitution is mainly because the cation distribution in nanostructured ferrites are different from that in the bulk ferrites [27]. According to the investigation of R. S. Biasia, H. F. Santosa [7], Al3+ ion can enter A-site in NiAl ferrite nanoparticles which can decrease MA for lower concentration. In addition, the magnetocrystalline anisotropy constant (K1) decrease due to the fact that the non-magnetic Al3+ ions (0 µB) replace magnetic Fe3+ ions (5 µB) can enhance the value of Ms. However, excessive magnetic Fe3+ ions are replaced by nonmagnetic Al3+ ions in B-site will reduce MB. It results in the decrease of Ms. Furthermore, the decrease of crystallite size and the exist of ZnO impurity phase with excessive Al substitution also can make Ms decrease. Eventually, Ms decreases with the increase of Al substitution when x > 0.10.

Figure 4 shows the variation of Hc with Al substitution (x). It indicates that Hc decreases with Al substitution increasing when x ≤ 0.10, and then raises when x > 0.10. For cubic spinel ferrite, Hc is related to K1 and Ms by the relation: \(H{\text{c}} \propto {K_1}{\text{/}}M{\text{s}}\). Based on this relation, Hc decreases with K1 decrease and Ms increase when x ≤ 0.10. However, Hc increases with Al substitution increasing when x > 0.10 mainly because the excessive non-magnetic Al ions lead to the decrease of Ms.

The variation of magnetization of Ni0.4Zn0.5Co0.1AlxFe2−xO4 (x = 0, 0.10, 0.2) ferrite nanopowders as a function of temperature is shown in Fig. 5. This indicates that the Néel temperature (TN) decreases with Al substitution (x) increment, which mainly due to the fact that the replacement of magnetic Fe3+ ions by the nonmagnetic Al3+ ions reduces the superexchange interaction.

Fig. 5
figure 5

The variation of magnetization of Ni0.4Zn0.5Co0.1AlxFe2−xO4 (x = 0, 0.10, 0.2) ferrite nanopowders as a function of temperature

3.4 Electrical properties

The temperature dependence of dc resistivity ρd for the Ni0.4Zn0.5Co0.1AlxFe2−xO4 (x = 0-0.20) ferrite nanopowders is shown in Fig. 6a. All samples show the metal–semiconductor (M–S) transition behavior at a specific temperature with a resistivity peak which called transition temperature (Tp). Under the temperature of Tp, ρd shows the metallic conduction mechanism and increases with the temperature. But, when the temperature is above Tp, ρd shows the intrinsic semi-conduction mechanism and follows an exponential decay with temperature increasing. In fact, the ρd–T curves mainly contain the metallic conduction region which is dominated by the scattering effect with lattice vibration and semi-conduction region which is dominated by the electrons hopping between Fe2+ and Fe3+ ions at B-sites [28]. This well agrees with the electrical conductivity properties for impurity semiconductor. For the spinel ferrites, electrons hopping between Fe2+ and Fe3+ ions plays a vital role of intrinsic excitation. The intrinsic excitation is expected to increase the charge carrier concentration to reduce ρd in the semi-conduction region. But the lattice vibration scattering effect enhances with temperature increasing will obstruct the electron conduction and reduce the dc drift mobility in the metallic conduction region. In practice, Tp is used to separate the metallic conduction and semi-conduction regions mainly depends upon the competition between lattice vibration scattering and intrinsic excitation. Tp increases with Al substitution in the present work.

Fig. 6
figure 6

Temperature dependence of ρd (a) and variation of Eρ with x (b) for Ni0.4Zn0.5Co0.1AlxFe2−xO4 ferrite nanopowders

In the semi-conduction region, the temperature dependence of dc resistivity follows the Arrhenius equation \({\rho _d}={\rho _0}\exp \left( {{E_\rho }{\text{/}}kT} \right)\), where ρd is the resistivity at temperature T, ρ0 is a constant which equals to the resistivity at infinitely high temperature, k is Boltzman’s constant, and Eρ is activation energy [29]. The exponential decay of ρd with the temperature increasing demonstrates that the semiconductor behavior of ferrites. Conduction in spinel ferrites can be stated by Verwey’s hopping mechanism [30]. According to it, the electronic conduction in spinel ferrites is formed by the electrons hopping between ions of the same element with different valance state, distributed randomly over the same lattice sites. Figure 6a shows that ρd increases with Al substitution increasing in semi-conduction region. This mainly due to the fact that the predominantly conduction mechanism of spinel ferrites is the electrons hopping between Fe2+ ↔ Fe3+ + e [28]. With the increase of Al substitutes Fe, Fe2+ ions will decrease which restricts the electron hopping between Fe3+ and Fe2+ ions and then it leads to the increase of ρd.

The hopping probability is also influenced by the activation energy [31]. In the semi-conduction region, the activation energies Eρ can be obtained by the Arrhenius equation [32]. Figure 6b indicates that the values of activation energies increased from 0.353 eV (x = 0) to 0.426 eV (x = 0.20), which indicates that Eρ is influenced by Al substitution. Eρ is associated with the electrical energy barrier during electrons hopping. And the Fe3+ ions are being replaced by the different element ions at the same lattice sites will results in much higher electrical energy barrier. So, Eρ increases with Al substitution increasing. And then the electrons hopping needs much higher thermal energy with the increase of Eρ which results in the increase of Tp.

4 Conclusions

Ni0.4Zn0.5Co0.1AlxFe2−xO4 (0 ≤ x ≤ 0.20) ferrite nanopowders were prepared by sol–gel auto-combustion method. The effects of Al substitution on the structural and electromagnetic properties have been studied. DTA–TG results indicate that the decomposition of the gel occurs suddenly at about 220 °C. The a, D and dx of ferrite nanopowders decrease from 0.8406 to 0.8372 nm, 26.0 to 20.1 nm and 5.32 to 5.25 g/cm3, respectively. Ms increases with the increase of Al substitution when x ≤ 0.10, and then decreases when x > 0.10. Hc decreases with the increase of Al substitution when x ≤ 0.10, and then increases when x > 0.10. Ms has the maximum value (75.43 emu/g) and Hc reaches the minimum value (81.59 Oe) when Al substitution (x) is 0.10. The Néel temperature (TN) decreases with the increase of Al substitution. The temperature dependence of ρd for the ferrite nanopowders follows the impurity semiconductor, and Tp increases with Al substitution because of the increase of Eρ with the increase of Al substitution. Furthermore, ρd increases in semi-conduction region with Al substitution increasing.