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Synthesis and characterisation of magnesium-doped nanoparticles by the microwave combustion technique for novel applications

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Mar 31, 2025

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Introduction

The Greek word “nano” refers to anything as tiny as 10−9 m, or one billionth of a metre. Nano is one hundred thousand times smaller than human hair [1]. Nanomaterials are engineered at the atomic and molecular scale and typically have dimensions ranging from 1 to 100 nanometers. The study of any structure with dimensions less than 1 nm is referred to as Nanoscience [2]. The term “nanotechnology” was first used in 1970 [3]. The renowned physicist Richard Feynman stated in the Caltech meeting held in the United States that “there is plenty of room at the bottom” [3]. For the first time, atoms were used as building blocks to construct goods that were nano-sized [4]. Nanomaterials are utilised because of their superior structural, optical, thermal, electrical, magnetic, and catalytic qualities [5]. Globally, nanoscience research has grown quickly in the past year. Future technology development at the business, governmental, scientific, and industrial levels is greatly aided by nanomaterials [6]. The material and preparation techniques used in the synthesis of Ni1–x Mg x Fe2O4 (0 ≤ x ≤ 0.5) spinel nanostructures are covered in this study. The specifics of the instrumental and experimental methods used in the characterisation process are examined in order to assess the characteristics of nanoparticles, which are crucial for their application in a variety of fields [7]. The novelty of this work lies in the synthesis of magnesium-doped nanoparticles using the microwave (MW) combustion technique, a method renowned for its rapid, energy-efficient, and environmentally friendly approach to nanoparticle fabrication. Unlike conventional synthesis methods, this technique offers precise control over reaction parameters, resulting in uniform doping and enhanced material properties. This study uniquely investigates the influence of magnesium doping on the structural, morphological, and functional characteristics of the nanoparticles, uncovering their potential for diverse applications. These include use in catalysis, biomedicine, drugs and medications, food and manufacturing sectors, the energy industry, environmental sustainability, and other advanced technological fields. By improving the material performance while ensuring scalability and sustainability, this work contributes significantly to green nanotechnology and expands the utility of such nanoparticles across critical industrial domains.

MW combustion synthesis

One relatively new and sophisticated method for creating nanoparticles is MW-assisted combustion synthesis. In an MW system, energy is transferred directly to materials through the interaction of molecules and electromagnetic fields [8]. After an electromagnetic source is converted to thermal energy, heat is produced. The MW-assisted combustion synthesis procedure has a reaction time that is too short and varies between 500 and 900°C [9]. An exhaust drain can be used to evacuate the vapour produced during the heating process [10]. Structured oxides can also be produced more cheaply and in larger numbers via MW-assisted combustion [11]. Magnesium nitrate (≥98%, Sigma-Aldrich, 5 g), zinc nitrate (≥98%, Merck, 10 g), and glycine (≥ 99%, HiMedia, 15 g) were used as starting materials for the synthesis. Distilled water (100 ml, in-house laboratory) was used to dissolve the reagents [12]. All chemicals were of analytical grade and used without further purification. The synthesis of magnesium-doped nanoparticles was performed using the MW combustion technique [13]. Stoichiometric quantities of magnesium nitrate, zinc nitrate, and glycine were dissolved in distilled water to prepare a homogeneous solution [14]. The solution was placed in an MW-safe ceramic crucible and irradiated in a domestic MW oven operating at 2.45 GHz and 700 W [15]. The exothermic reaction produced a fluffy, porous powder, which was cooled, ground, and stored for further analysis.

Working principle of MW combustion

The quick oxidation of a material to produce heat is known as combustion. It is an exothermic chemical reaction which employs an oxidising (O x ) and a reducing (R x ) agent (Red). A chemical reaction between two or more substances that produces heat and light in the form of a flame is called combustion [16]. This leads to the production of new compounds and heat energy. The oxidising agent is metal nitrate, while the reducing agent is fuel (urea, glycine, citric acid, L-arginine, and so on) [17]. The combustion temperature in an MW-assisted reaction between a nitrate precursor and L-arginine as a fuel typically ranges from 800 to 1,200°C, depending on factors such as the fuel-to-oxidiser ratio, MW power, and the reaction vessel [18]. A stoichiometric or slightly fuel-rich mixture and higher MW power can lead to increased temperatures [19]. The ignition temperature of MW combustion typically depends on the specific reactants and their stoichiometric ratios. For most nitrate-fuel systems, the ignition temperature in MW combustion processes is relatively low, often in the range of 150–250°C [20]. This is because MW energy rapidly heats the mixture, causing localised hotspots and initiating the exothermic reaction even at moderate temperatures. The MW combustion technique process makes use of principles of MWs and thermochemical concepts from propellant chemistry [21]. MWs are electromagnetic waves with frequencies between 300 MHz and 300 GHz [22]. They are located between radio and infrared waves in the electromagnetic spectrum. In this region, MWs with frequencies between 900 MHz and 2.45 GHz can be used for heating. Figure 1 typically shows dipolar polarisation and MW heating in correlation with ionic conduction. (i) Dipolar polarisation is shown in Figure 1a and (ii) ionic conduction is shown in Figure 1b. While charged particles (ionic species or free ions) are essential for comprehending the contribution of these charged particles to the ionic conduction, the reaction mixture of dipoles (such as reagents or polar solvent molecules) is involved in the dipolar process of rotation or polarisation [23]. When exposed to MW frequencies, the dipoles attempt to align themselves along the direction of the applied electric field. The electric field oscillates to generate a dipole, which then tries to track the heat and energy loss from dielectric loss and molecular friction.

Figure 1

MW heating mechanism corresponding to (a) dipolar polarisation and (b) ionic conduction.

The capacity of these “dipoles” to align with the applied MW frequency and field determines how much heat is generated. When the dipole does not have enough time to realign with regard to the field, no MW heating will be produced [24]. A frequency of 2.45 GHz, which is in the middle of these two extremes and gives the molecule dipoles adequate time to align with the field, is used by all commercial MW systems [25]. The softened charged particles in the sample will oscillate below the MW field in the event of an ionic process because the molecular dipoles cannot precisely follow the alternating field. Heat is produced as a result of collisions with nearby molecules during this process [26]. An ac field causes polar molecules to automatically align, which causes friction, rotation, and intermolecular collisions. Therefore, an “inside-out” heat genesis caused by the combined effects of polarisation and ionic forces can lead to rapid MW heating and an increase in the overall temperature. This polarisation process leads to the evolution of structured metal oxides, such as perovskites and spinels. Compared to other metal oxides, perovskites and spinels are now widely used in trans esterification reactions, particularly for the production of biodiesel. Therefore, it is very important to understand the structures of these materials, which are covered in the following sections [27]. Equation (1) gives the chemical reactions during the MW combustion reactions. ( 1 x ) Ni (NO 3 ) 2 + x Mg(NO 3 ) 2 + 2Fe(NO 3 ) 3 + y C 2 H 5 NO 2 Ni 1 x Mg x Fe 2 O 4 + gaseous products . (1-x)\text{Ni}\hspace{.25em}{{\text{(NO}}_{3}\text{)}}_{2}+x{\text{Mg(NO}}_{3}{\text{)}}_{2}+{\text{2Fe(NO}}_{3}{\text{)}}_{3}+y{\text{C}}_{2}{\text{H}}_{5}{\text{NO}}_{2}\to {\text{Ni}}_{1-x}{\text{Mg}}_{x}{\text{Fe}}_{2}{\text{O}}_{4}+\text{gaseous}\hspace{.25em}\text{products}\text{.}

Perovskites and spinel structures

The structures employed in the fabrication of nanoparticles rely on the intended use of nanoparticles, the facilities that are accessible, and the researcher’s preference. The following are some of the structures used in the metal-organic nanoparticles preparation process.

Perovskites

ABO3 (A = rare earth, alkaline earth, and alkali elements; B = d-block transition metal) is the general formula for perovskite structures. In this case, O is the anion, while A and B are the cations of the modified sites. The coordination number of the A and B atoms is 12 and 6, respectively. Atom A is in the core of the perovskite or at the centre of the body; atom B is in the corner; and the oxygen atom is in the face-centred position. The perfect cubic perovskite structure (ABO3) is shown in Figure 2. BaTiO3 is the best-studied perovskite material known, with site A containing divalent anions and site B containing tetravalent ions. Figure 3 depicts the basic structure of BaTiO3. By maintaining their original crystal structure, chemical substitutions in the A- and/or B-sites of ABO3-type perovskite can result in altered structural and electronic changes [28]. Applications for these perovskite materials include sensors, capacitors, and piezoelectric displays. BaTiO3 is the best example of a perovskite structure, with tetravalent ions occupying the “B site” and divalent ions occupying the “A site.”

Figure 2

Ideal cubic perovskite structure (ABO3).

Figure 3

Perovskite structure.

Spinels

The chemical formula for spinels is AB2O4, where O stands for an anion, B for a trivalent metal ion, and A for a divalent metal ion. High electrochemical stability, metal–insulator transition behaviour, superconductivity, ferroelectricity, and ferromagnetism are among the superior qualities of this kind of AB2O4 spinels. Spinel-type oxides are employed in many processes, including catalysis, transformers, memory devices, fuel cells, solar cells, sensors, pigments, batteries, and so on (Figure 4).

Figure 4

Image of spinel oxide.

Magnetic spinels

The chemical formula for spinel aluminates is Zn1–x M x Al2O4 (0 ≤ x ≤ 0.5), where Al is the trivalent metal ion occupying the octahedral sites and M is the divalent metal ion occupying the tetrahedral sites (M = Mn2+, Fe2+, Co2+, Ni2+, Zn2+, etc.). An FCC structure with a Fd3m space group makes up the spinel-type aluminates (Figure 4). The metal ions occupy half of the tetrahedral and octahedral places in the cubic, closely packed oxygen lattice that makes up the spinel structure. As a result, the structure has twice as many octahedral sites as tetrahedral sites [29].

A common representation of the chemical formula for the mineral group spinel is AB2O4, where “B” stands for trivalent cations, such as aluminium (Al), chromium (Cr), or iron (Fe), and “A” stands for divalent cations, such as magnesium (Mg), zinc (Zn), or iron (Fe). The letter “O” stands for oxygen. The overall formula can therefore be expressed as (A2+)(B3+)(O2−)4. Figure 5 illustrates the crystal’s spinel structure. Due to the intriguing catalytic interaction between iron and copper sites, CuFe2O4 nanoparticles have been employed as a catalyst in numerous applications in recent years. CuFe2O4 nanoparticles are therefore magnetically recoverable nanocatalysts in a variety of catalytic applications.

Figure 5

Spinel crystal.

Because of its mild saturation magnetisation, low coercivity, mechanical hardness, and good stability, MnFe2O4 nanoparticles are also soft ferrites. Due to their significant atomic-level correlation and reliance on their magnetic properties, MnFe2O4 nanoparticles with ferromagnetic characteristics have recently been employed in MRI and other applications. We have selected NiFe2O4 as the basis material for our current research project because of its favourable structural, optical, and magnetic characteristics. Furthermore, the size of ferrites affects their structural, optical, and magnetic characteristics. Therefore, we used the MW combustion method to synthesise pure and Mg2+ doped NiFe2O4 for the current investigation. Hence, the present work is devoted to MW combustion synthesis of Ni1–x Mg x Fe2O4 (0 ≤ x ≤ 0.5) spinel nanoparticles. The spinels are characterised to determine their structural, morphological, optical, and magnetic properties.

Synthesis of Ni1–x Mg x Fe2O4 (0 ≤ x ≤ 0.5) spinel nanostructures

Both pure and metal-doped nanostructured Ni1–x Mg x Fe2O4 (0 ≤ x ≤ 0.5) were synthesised in various molar ratios with x = 0, 0.1, 0.2, 0.3, 0.4, and 0.5 moles and (M = Mg2+). De-ionised water was used to dissolve the raw ingredients. L-Arginine serves as a fuel for MW combustion, whilst nitrate precursors act as oxidisers. The ratio of “fuel to oxidiser (F/O)” was maintained as one by applying the propellant chemistry rule. After that, the solution was moved to a crucible and heated for 10 min in an MW oven. Here, the solution was boiled in a MW oven, which caused it to dehydrate, evaporate, and break down, resulting in the evolution of gas. Ultimately, when the solution achieves spontaneous combustion, ignition occurs, producing a fluffy, white powder. Nanoparticle characterisation is done via X-ray diffraction (XRD) analysis. XRD may be used to examine the unique “fingerprint” of each substance. Utilising a Rigaku (SmartLab) apparatus with a diffraction angle range of 10°–80° and a CuKα radiation source at λ = 0.15406 nm, the structural investigations were conducted.

The following parameters were calculated from XRD studies:

The average crystallite size (L) of pure and doped nickel ferrite was calculated using Scherrer’s formula, which is given in equation (2). L = 0.89 × λ β × cos θ , L=\frac{0.89\times \lambda }{\beta \times \text{cos}\theta }, where θ is the angle of diffraction (half Bragg angle), λ is the incident X-ray wavelength (0.15406 nm), L is the average crystallite size (nm), and β is the full width at half-maximum of the diffraction peak [13].

High resolution scanning electron microscopy (HR-SEM) analysis

One method for obtaining details on the surface morphology and size of the samples is HR-SEM. HR-SEM uses extremely sensitive electromagnetic lenses, giving the operator additional control over the magnification level. The samples were stuck on a 15 mm diameter aluminium stub for HR-SEM analysis using extremely thin, transparent, double-sided sticky plastic foil. The EIKO IB2 coater was used to provide a gold coating on the sample on the aluminium stub so that the surface is clearly visible. In order to observe the surface topology, the gold-coated specimens were subsequently put inside a JOEL JSM 6360 apparatus at appropriate magnification. A qualitative analytical method called energy-dispersive X-ray (EDX or EDS or EDAX) analysis can reveal information about the sample. A JOEL JSM equipped with a parallel EDX spectrometer was used to record the samples’ EDX spectra. This instrument’s benefits include low time consumption, minimal sample damage, nanoscale analysis, and the ability to identify pollutants and chemicals.

Diffuse reflectance spectroscopy (DRS)

For sample analysis, a ultraviolet-visible (UV-vis) spectrometer uses photons in the UV-visible region. In liquids and solids, UV-vis spectrophotometers are often used to evaluate absorption or transmission. The UV-vis spectrophotometer probes electronic transitions in the sample at a wavelength between 200 and 800 nm [13]. Because of their chemical connections and general structure, certain molecules in the sample absorb light at specific wavelengths in the spectrum as it travels through them. The absorbed light energy usually results in an electron moving to a higher energy orbital when the sample molecules are exposed to light with energy equal to their electronic transition. A spectrophotometer records each incident absorption and creates a graph showing absorbance versus wavelength to depict the resulting spectrum. In this study, the diffuse reflectance (DR) spectra for all the samples were recorded using a UV-vis spectrophotometer.

The optical band gap was calculated using Tauc’s equation, expressed as equation (3), F ( R ) = A ( h ν Eg ) n , F(R)=A{(h\nu -\text{Eg})}^{n}, where A, , and Eg are the constant, photon energy, and energy gap, respectively, and n = 2 and n = ½ are the allowed indirect transition and allowed direct transition, respectively.

The bang gap energy was calculated using the Kubelka–Munk (K–M) function, shown in equation (4). α = F ( R ) = ( 1 R ) 2 / 2 R , \alpha =F(R)={(1-R)}^{2}/2R, where F(R) and R are the K–M functions.

From the plot of (F(R))2 vs , the linear region is extrapolated to the zero ordinate, which then gives the band gap values (Eg).

Results and discussion
XRD analysis

The prominent diffraction patterns of Mg–NiFe2O4 nanoparticles are displayed in Figure 6, which validates their crystal nature. The diffraction peaks correlate with 2θ values of 30.37°, 35.54°, 36.50, 43.38°, 53.83°, 57.06°, 62.74°, and 74.51°.

Figure 6

XRD plot of Ni1−x Mg x Fe2O4 (0 ≤ x ≤ 0.5) samples.

For the cubic spinel structure with Fd 3m space group symmetry, the results from the entire collection of diffraction peaks match with the standard data quite well (JCPDS card no. 89-4927). For the entire Ni1−x Mg x Fe2O4 (0 ≤ x ≤ 0.5) nanoparticles, distinctive impurity peaks (Fe2O3) were found, indicating a good Mg2+ exchange.

The XRD pattern (Figure 7) of Mg–NiFe2O4 nanoparticles shows the slight shift of diffraction peaks from the lower to higher angles. The peak position in pure nickel ferrite is at a 2θ value of 35.597°, and it is shifted to 35.678° for magnesium doped nickel ferrite (x = 0.5), and the difference in the 2θ value is 0.81°.

Figure 7

Peak shift of Ni1−x Cu x Fe2O4 (0 ≤ x ≤ 0.5) samples.

The value of (“a”) for NiFe2O4 is found to be consistent with the 8.381 Å value reported by Ghamdi et al. [13]. However, in accordance with Vegard’s law, the lattice constant decreases a little (Table 1) when the concentration of Mg2+ increases. The presence of lattice contraction without any violation of lattice symmetry is specified by the increased Mg2+ concentration. The reason for this is that Mg2+ has a larger ionic radius (1.73 Å) than Ni2+ (1.63 Å) [26]. The average size of the crystallites of Mg–NiFe2O4 nanoparticles is shown in Table 1. Samples “A, B, C, D, E, and F” had recorded values of 20, 22, 24, 27, 29, and 31 nm, respectively. The observed growth in crystallite size may be attributed to the accumulation of Mg2+ ions within the lattice structure (Figure 8).

Sample code, crystallite size, lattice parameter, and band gap values of Ni1−x Mg x Fe2O4 (0 ≤ x ≤ 0.5) samples.

Sample Sample code L (nm) D (nm) a (Å) Eg (eV)
NiFe2O4 A 20 20 8.380 3.35
Ni0.9Mg0.1Fe2O4 B 22 21 8.377 3.29
Ni0.8Mg0.2Fe2O4 C 24 23 8.374 3.25
Ni0.7Mg0.3Fe2O4 D 27 25 8.371 2.97
Ni0.6Mg0.4Fe2O4 E 29 27 8.368 2.73
Ni0.5Mg0.5Fe2O4 F 31 30 8.365 2.32
Figure 8

Lattice parameter variation in Ni1−x Cu x Fe2O4 (0 ≤ x ≤ 0.5) samples.

The effective crystallite size (D) and strain (k) can be inferred from the slope of the line that was obtained from the analysis. These values were found using the y-axis intercept (D/k). The effective crystallite size (D) and the crystallite size (L) determined by the W-H and Scherrer methods, however, differ slightly. It is found that samples a, b, c, d, e, and f have average crystallite sizes of 20, 21, 23, 25, 27, and 30 nm, respectively.

FT-IR spectra

The FT-IR spectra of Ni1−x Mg x Fe2O4 nanoparticles, where 0 ≤ x ≤ 0.5, in the wavelength range of 4,000 to 400 cm−1, are depicted in Figure 9. Several peaks were observed, each with their corresponding characteristics.

The presence of absorbed water molecules on the cobalt ferrite samples is indicated by the peaks at 3,438 cm−1 [16].

The C–H stretching vibration causes the peaks located at 2,929 and 2,858 cm−1 [27].

The vibration of Mg-doped Ni–Fe is linked to the peaks at 1,013 and 1,201 cm−1 [19].

The absorption band at 582 cm−1 is linked to the stretching vibrations of the tetrahedral sites of “metal–oxygen bonds,” whilst the bands at 437 and 456 cm−1 are linked to the stretching vibrations of the octahedral sites [15].

Figure 9

FTIR spectra of Ni1−x Mg x Fe2O4 (0 ≤ x ≤ 0.5) samples.

These observations provide valuable information about the molecular vibrations and bonding characteristics present in the Ni1−x Mg x Fe2O4 nanoparticles.

HR-SEM analysis

HR-SEM was used to analyse the microstructural characteristics of Ni1−x Mg x Fe2O4 nanoparticles. The generated nanoparticles are spherical in shape and appear to be agglomerated and coalescent, as shown in Figure 10a–f. Agglomeration flaws are the result of annealing or interfacial surface tension during the preparation process. Additionally, MW irradiation, which generates enormous thermal energy within the material, causes the agglomeration and coalescence of the nanoparticles [28].

Figure 10

HR-SEM images of (a) Ni1Mg0Fe2O4, (b) Ni0.9Mg0.1Fe2O4, (c) Ni0.8Mg0.2Fe2O4, (d) Ni0.7Mg0.3Fe2O4, (e) Ni0.6Mg0.4Fe2O4, and (f) Ni0.5Mg0.5Fe2O4 samples.

EDX analysis

The EDAX spectra of Mg–NiFe2O4 nanoparticles are shown in Figure 11a–f. As shown in Figure 11a, the peak verifies the presence of elements such as Ni, Fe, and O. In all the other samples of Mg–NiFe2O4 nanoparticles, the Mg peak was observed (Figure 11b–f).

Figure 11

EDX images of (a) Ni1Mg0Fe2O4, (b) Ni0.9Mg0.1Fe2O4, (c) Ni0.8Mg0.2Fe2O4, (d) Ni0.7Mg0.3Fe2O4, (e) Ni0.6Mg0.4Fe2O4, and (f) Ni0.5Mg0.5Fe2O4 samples.

VSM analysis

Hysteresis curves were used to calculate magnetic parameters such as Hc, Ms, and Mr, respectively. The magnetic appearances of the samples (Figure 12) were investigated at room temperature under the influence of a stimulated field, with values ranging from −15 kOe to + 15 kOe. As shown in Figure 12a, the coercivity values increase from x = 0 (340.45 Oe) to x = 0.1 (480.14 Oe) and then decrease as the concentration of Mg2+ increases until they reach x = 0.5 (188.77 Oe).

Figure 12

Magnetic hysteresis of Ni1−x Mg x Fe2O4 (0 ≤ x ≤ 0.5) samples.

The magneto crystalli value increases up to x = 0.4 (6.31 emu/g), but then decreases at x = 0.5 (6.12 emu/g). The factors include lattice imperfections, random magnetic spin orientation, and magnetic superexchange interactions due to cation redistributions that correspond to “tetrahedral A” and “octahedral B” sites. As the Mg2+ ion fraction increases, the Ms values increase from a (27.15 emu/g) to e (40.20 emu/g) and subsequently falls to f (33.18 emu/g). The value comparison of different samples is displayed in Table 2.

Hc, Mr, and Ms values of Ni1–x Mg x Fe2O4 (0 ≤ x ≤ 0.5) nanoparticles.

Sample code Hc (Oe) Mr (emu/g) Ms (emu/g)
A 337.01 5.21 17.37
B 502.14 5.45 18.24
C 171.11 5.54 20.94
D 217.08 6.17 22.35
E 195.29 7.35 25.79
F 158.77 6.52 24.72
UV-DRS analysis

UV-DRS was used to quantify the energy gap of Mg–CuFe2O4 nanoparticles. The band gap values were computed using the Tauc equation. According to equation (3), the diffuse reflectance was converted into its appropriate “absorption coefficient” using the “Kubelka–Munk” F(R) function, as shown in Figure 13. The graphs of (F(R))2 vs for samples A and F are shown in Figure 13a and b, respectively. These numbers correspond to the direct band gap measurements and have expanded linear areas to (F(R))2 = 0. The direct band gap values of Mg–NiFe2O4 nanoparticles are 3.35, 3.29, 3.25, 2.97, 2.73, and 2.32 eV (Figure 14).

Figure 13

(F(R))2 versus plots Ni1–x Mg x Fe2O4 (0 ≤ x ≤ 0.5) for (a) A sample and (b) F sample.

Figure 14

Mg2+ fraction vs energy gap of Ni1−x Mg x Fe2O4 (0 ≤ x ≤ 0.5) samples.

It was found that the band gap of NiFe2O4 nanoparticles was 3.37 eV lower than that of the bulk material. The surge in the optical band gap value is caused by the weak quantum confinement effect that occurs at the nanoregime.

Conclusions

A novel MW combustion-assisted synthesis technique was used to successfully create pure and magnesium-doped NiFe2O4 nanocrystalline spinel nanoparticles. According to the JCPDS number 89-4927, which denotes the cubic spinel structure, the XRD pattern analysis verified the production of a cubic nickel ferrite spinel structure. Aggregated spherical Ni1−x Mg x Fe2O4 nanoparticles exhibiting coalescence behavior were observed using HRSEM. As the Ni fraction increased, it was discovered that the optical band gap value decreased from 3.35 to 2.32 eV. Furthermore, the FT-IR spectra showed distinct absorption regions. The tetrahedral sites (metal–oxygen bonds) were linked to the absorption band at 582 cm−1, whereas the octahedral sites (metal–oxygen bonds) were linked to the bands at 437 and 456 cm−1. These findings provide important insights into the structural and optical properties of the prepared Ni1−x Mg x Fe2O4 nanocrystalline spinel nanoparticles.

Acknowledgment

Authors would like to acknowledge the support provided by Researchers Supporting Project Number (RSP2025R297), King Saud University, Riyadh, Saudi Arabia.

Funding information

Authors would like to acknowledge the support provided by Researchers Supporting Project Number (RSP2025R297), King Saud University, Riyadh, Saudi Arabia.

Author contributions

S.B.: conceptualization; methodology; investigation; validation; writing–original draft; S.K.: conceptualization; methodology; investigation; validation; formal analysis; resources; writing–original draft; writing–review and editing. N.A.V.: conceptualization; methodology; investigation; validation; writing–original draft; writing–review and editing. N.S.: conceptualization; methodology; investigation; validation; writing–original draft; writing–review and editing F.M.A.: conceptualization; methodology; investigation; validation; writing–original draft; writing–review and editing. S.A.: investigation; formal analysis. H.S.M: investigation; formal analysis, S.A.: investigation; formal analysis. All authors have read and agreed to the published version of the manuscript.

Conflict of interest statement

Authors state no conflict of interest.