The discovery of hexagonal ferrites has significantly contributed to various technological applications due to their unique ferromagnetic characteristics. This article employs the polymer solution technique for the first time in the synthesis of M-type hexaferrite, specifically BaFe12O19 (BaM). The polycrystalline nature of the BaM nanoparticles (NPs) is confirmed through X-ray diffraction (XRD) analysis, revealing a hexagonal structure within the P63/mmc space group. The study utilized the Scherrer method to assess the average crystallite size while utilizing the Williamson-Hall (W-H), Halder-Wagner (H-W), and Wagner-Auga (W-A) methods for a thorough analysis of XRD peak broadening, aiming to understand the relationship between crystallite size and intrinsic strain, demonstrating a high intercorrelation among the obtained results. In this work, XRD peak broadening analysis has been carried out by different models for the first time on BaM NPs. Fourier-transform infrared (FT-IR) spectroscopy was employed to designate the vibration behavior of chemical bonds, which confirms the formation of the hexagonal structure of BaM NPs. To assess the impact of excitation laser power in Raman spectroscopy, a study conducted a comprehensive analysis, comparing Raman spectra across excitation powers varied at 0.1 %, 0.5 %, 1 %, 5 %, and 10 %, maintaining a constant exposure time of 30 s throughout the experiment. Examination through Transmission Electron Microscopy (TEM) reveals a hexagonal rod-shaped morphology, with an average particle size falling within the range of 100 to 240 nanometers. The present study provides detailed insights about the structural, morphological, and compositional characteristics of BaM NPs for their utilization in high-frequency application. It shows a reflection loss (RL) of -13.68 dB at frequency of 10.3 GHz, with an absorption bandwidth of -10 dB spanning 0.42 GHz having 5 mm sample thickness.
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