The XRD plots of synthesized Al Ferrite powders with different doping are shown in Fig. 1. The plots showed no major peaks but a hump around 30O indicating amorphous nature (Fig. 2).
The M-H plot of Al Ferrite is shown in Fig. 2 which resembles that of a spin glass. Spin glass is a disordered magnet with a magnetic spin component not aligned in a regular pattern. The individual atomic bonds in a spin glass are a mixture of roughly equal numbers of Ferromagnetic bonds and Antiferromagnetic bonds. These patterns create frustrating interactions and result in distortion of atomic bond geometry. By frustration, it is meant that the atoms stick to a non-trivial position on a regular lattice. Magnetic Spin glass is very good conductor. Spin glass characteristics have been observed in CuMn and AuFe systems. We are first time reporting this property in Al-Fe systems.
The total magnetic moment is due to uncompensated upward spin. Al+3 replaces Fe+3 from sites having upward spin directions causing a reduction in saturation magnetization. Surface defects are also responsible for lowering of exchange interaction. The hysteresis loop is a mixture of ferromagnetic and paramagnetic samples. The critical size of a single domain particle is given by
$${D}_{m}=\frac{9{\sigma }_{m}}{2\pi {M}_{s}^{2}}$$
where \({\sigma }_{m}=\sqrt{\frac{2{K}_{B}{T}_{c}\left|{K}_{1}\right|}{a}}\) is the wall density energy, K1 is the magnetocrystalline anisotropy constant, Tc is the Curie temperature, Ms the saturation magnetization, KB Boltzmann constant, and a is the lattice parameter. For D > Dm, the particles have multi-domain and an increase in Dm takes place due to an increase in Al concentration.
For small concentrations of nonmagnetic ions like Al+3, the saturation magnetization is Ms = MB-|MA| where MB and MA denote the magnetization of A and B site ions in Spinel Ferrite (AB2O4). Due to polarization effects, the nonmagnetic ions prefer octahedral and tetrahedral sites causing an enhancement in Ms values. The preferential attainment of the octahedral and tetrahedral sites by the non-magnetic ions also causes Fe+3 ions to migrate to the B sites giving rise to an anti-parallel spin coupling which causes weakening of A-B exchange interactions and increases the Ms. The magnetic moment per formula unit 𝜂B = MA(x) –MB(x) [9].
In spinel structure, A+2 ions occupy tetrahedral sites and B+3 ions occupy the octahedral sites. FeAl2O4 has a spinel structure. The inverse spinel is written as B(AB)O4 or (A+2)(B+3)2O4. In this half of the B3+ ions occupy tetrahedral sites and the other half, as well as A2+ ions, occupy the octahedral sites.
In inverse spinel structures, the Fe+3 ions are equally shared by tetrahedral and octahedral sites whereas the divalent metal ion (Fe+2 in case of Fe3O4) is at the tetrahedral site giving ferri-magnetic properties. In the compound MgAl2O4 from where the term spinel is taken, the Al+3 is at the octahedral sites.
The non-magnetic Al+3 ions introduced to ferrites, if replace the octahedral Fe+3 ions, the effective magnetic moment will decrease. However, Al+3 replacing the tetrahedral site ions has also been reported which will eventually cause an increase in the total magnetic moment of the sample. The most probable possibility seems to be an intermediate structure (Fex 3+ Al 1− x 3+ [Fe 2−x 3+ Al x 3+ ] O4) where the Al+3 atoms are shared between the A (tetrahedral) and B (Octahedral) sites. Al+3 replacing Fe+3 has been reported to a reduction in Ms, Mr and superexchange interaction (Fe+3A)tet – O - (Fe+3B)oct which causes noncollinear spin alignment.
The reflectance spectra of all the samples are given in Fig. 3. It can be observed that in the wavelength range 380 – 640 nm, the Al Ferrite showed an increase in reflectance with an increase in Ferrite concentration from 1–2% followed by a decrease of 5%. After 640 nm, the reflectance value in the case of 5% Ferrite showed an increase. The band edge showed an increase in wavelength (redshift) for an increase in Ferrite concentration. The change in slopes around 450 nm was observed for 2% and 5% Ferric Nitrate concentrations due to the formation of defects. The bandgap energy can be calculated by Kubelka–Munk equation:
where˛ \(\alpha\) is the absorption coefficient, R is reflectance, hν is the incident photon energy; A is a constant, and \(n\) depends on the type of transition: \(n\) = 1/2 and 2 for direct and indirect transition, respectively.
The bandgap increased from 1.9 e V to 2.2 eV for an increase in Fe+3 concentration from 1–2%. Due to the formation of defects, a bandgap at 2.5 eV is also obtained. The bandgap showed a decrease to 2.1 eV for 5% doping also there were no prominent other band gaps which indicates decreased energy difference between the defect levels and the conduction band (Fig. 4).
Increasing the Fe+3 concentrations may create positive ion vacancy due to the higher positive charge of Fe+3 compared to Al+3. The positive ion vacancy again is an effective negative ion which causes the nearby positive ions to move inward and negative ions to move outwards creating polarization. The diploe moment due to this polarization again interacts with the electric field of the incoming light wave. The higher is the interaction of the electric field of the incident light with the dipole moment, the higher will be the rate of optical transition. Each particle is assumed as a dipole oscillator of the displaced electron cloud and positively charged matrix region. The oscillations are due to perturbation by light. When two particles come together, coupled oscillations of lower frequency (higher wavelength) take place due to increased effective length (Fig. 5). So an increase in Fe+3 to 5% seems to bring the crystallites together to form a larger crystallite and lower the bandgap.