Bi2Fe4O9 (BFO) was synthesized using a hydrothermal method to achieve controlled phase purity and morphology. Rietveld refinement of the X-ray diffraction (XRD) pattern confirmed the formation of a single orthorhombic phase with the Pbam space group. Transmission electron microscopy (TEM) and high-resolution TEM (HRTEM) analyses revealed plate-like particles with dimensions ranging from 140 to 170 nm along their edge. The dielectric properties were evaluated by analyzing the frequency dependence of the dielectric constant, loss tangent, and electrical conductivity. The results indicated that the optimization of synthesis parameters significantly enhanced the dielectric response of Bi2Fe4O9, resulting in improved high-frequency performance. The correlation between microstructural characteristics and dielectric properties is discussed, with an emphasis on the roles of grain boundaries, phase purity, and conductivity in determining dielectric behavior. The UV-Vis absorption spectra recorded at room temperature revealed substantial absorption within the ultraviolet range (200–400 nm). Tauc plot analysis yielded an estimated band gap value of approximately 1.97 eV. Density functional theory (DFT) calculations, performed using the generalized gradient approximation (GGA+U) with the Wien2k code, provided insights into the electronic band structure and density of states (DOS). The calculated results are in good agreement with the experimental findings. This study highlights Bi2Fe4O9 as a promising material for advanced dielectric and environmental applications.
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