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Sol-gel auto combustion method was adopted to fabricate magnesium ferrite (MgFe 2 O 4 ) nanoparticles. The structural and morphological properties was studied by XRD, FTIR, and SEM analysis. The average particle sizes of MgFe 2 O 4  was in the range of 35–55 nm. The octahedral &amp; Tetrahedral bond lengths,  R   AE  (tetrahedral edge length),  R   BE  (shared octahedral edge length) and  R   BEU  (individual octahedral edge length), cationic radii (tetra and octa-sites) were also determined. The magnetic strength also showed direct reliance on bond angle and indirect to bond length. Hoping length  L   a  and  L   b  and bond angles are also measured. The frequency dependent conductivity and dielectric properties of MgFe 2 O 4  were investigated by Impedance analyzer. The photocatalytic activity (PCA) is appraised against MB (methylene blue) dye and MgFe 2 O 4  calcined at 800 °C showed promising degradation (78%) under visible light irradiation. The findings revealed that MgFe 2 O 4  is can harvest the solar light, which could be employed for the remediation of wastewater contains textile dyes.

Cationic distributions and dielectric properties of magnesium ferrites fabricated by sol-gel route and photocatalytic activity evaluation