## 3 Results and Discussion
For corresponding ferrites anchored on carbon nanotubes, the lattice parameters are a = 8.406, a = 8.412, and a = 8.416, respectively. Additionally, a minor amount (about 18%) of rhombohedral Fe\({}_{2}\)O\({}_{3}\) is present in the MnFe\({}_{2}\)O\({}_{4}\) and MnFe\({}_{2}\)O\({}_{4}\)/CNT systems, with a size of about 40 nm. It is known that substituted NiZnMn ferrites exhibit good magnetic properties, particularly high values of magnetization [31; 32]. The antiferromagnetic hematite (Fe\({}_{2}\)O\({}_{3}\)) shows a small spontaneous magnetization in the temperature range of 246-950 K, compared with substituted ferrites [33; 34]. It is worth noting that pure Fe\({}_{2}\)O\({}_{3}\) has a low attenuation ability for EM radiation [35]. Therefore, we do not expect a significant influence of this phase on the absorption properties of (NiZn)\({}_{1-x}\)Mn\({}_{x}\)Fe\({}_{2}\)O\({}_{4}\)/CNT nanocomposites as a whole and this nanocomposite was used without additional purification. Electrophysical Properties of Polymer Composites Based on (NiZn)\({}_{1-x}\)Mn\({}_{x}\)Fe\({}_{2}\)O\({}_{4}\)/CNT  
To create a material capable of absorbing electromagnetic radiation, achieving optimal impedance matching is crucial, and this is determined by specific material parameters, including the relative complex dielectric constant and magnetic permeability. Table 2 presents a summary of the real and imaginary components of complex permeability, complex permittivity at 9 GHz, and conductivity at low frequency (100 Hz) for both the synthesized \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Sample**} & \multicolumn{4}{c}{**Weight Amount, \%**} & \multirow{2}{*}{**Ni:Zn**} & \multirow{2}{*}{**Ni:Zn:Mn**} & \multirow{2}{*}{**Fe:(Ni,Zn,Mn)**} \\  & **Fe** & **Ni** & **Zn** & **Mn** & & \\ \hline (NiZn)\({}_{1-x}\)Mn\({}_{x}\)Fe\({}_{2}\)O\({}_{4}\) (x = 0) & 68.36 & 15.30 & 16.34 & 0.00 & 0.94 & 0.00 & 2.16 \\ (NiZn)\({}_{1-x}\)Mn\({}_{x}\)Fe\({}_{2}\)O\({}_{4}\) (x = 0.5) & 72.20 & 9.17 & 10.36 & 8.27 & 0.89 & 1.18 & 2.60 \\ NiZn)\({}_{1-x}\)Mn\({}_{x}\)Fe\({}_{2}\)O\({}_{4}\)/0.07 CNT (x = 0) & 68.23 & 15.30 & 16.48 & 0.00 & 0.93 & 0.00 & 2.15 \\ (NiZn)\({}_{1-x}\)Mn\({}_{x}\)Fe\({}_{2}\)O\({}_{4}\)/0.07 CNT (x = 0.5) & 75.04 & 8.37 & 9.15 & 7.44 & 0.91 & 1.18 & 3.01 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: The chemical composition of synthesized (NiZn)\({}_{1-x}\)Mn\({}_{x}\)Fe\({}_{2}\)O\({}_{4}\) ferrites and (NiZn)\({}_{1-x}\)Mn\({}_{x}\)Fe\({}_{2}\)O\({}_{4}\)/CNT hybrids determined using X-ray fluorescence. Figure 3: X-ray diffraction patterns of synthesized samples: (NiZn)\({}_{1-x}\)Mn\({}_{x}\)Fe\({}_{2}\)O\({}_{4}\) (**a**) and (NiZn)\({}_{1-x}\) Mn\({}_{x}\)Fe\({}_{2}\)O\({}_{4}\)/0.05 CNT (**b**). (NiZn)\({}_{1-\mathrm{x}}\)Mn\({}_{\mathrm{x}}\)Fe\({}_{2}\)O\({}_{4}\) ferrites and NiZn)\({}_{1-\mathrm{x}}\)Mn\({}_{\mathrm{x}}\)Fe\({}_{2}\)O\({}_{4}\)/CNT nanocomposites. It is evident that the values of \(\varepsilon^{\prime}\) and \(\varepsilon^{\prime\prime}\) increase with the increasing concentration of carbon nanotubes in (NiZn)\({}_{1-\mathrm{x}}\)Mn\({}_{\mathrm{x}}\)Fe\({}_{2}\)O\({}_{4}\)/CNT nanocomposites for all x values. This results from the natural ferromagnetic resonance [36] and the heightened surface defectiveness of magnetic nanoparticles. The increased area of interactions between the magnetic nanoparticles and the conductive component of CNTs contributes to this phenomenon. The conductivity of (NiZn)\({}_{1-\mathrm{x}}\)Mn\({}_{\mathrm{x}}\)Fe\({}_{2}\)O\({}_{4}\)/CNT nanocomposites at a frequency of 100 Hz is approximately 2-3 orders of magnitude greater than that of (NiZn)\({}_{1-\mathrm{x}}\)Mn\({}_{\mathrm{x}}\)Fe\({}_{2}\)O\({}_{4}\) ferrites.