Magnesium-Zinc Ferrite nanoparticles of different compositions are synthesized by using the solgel auto-combustion method with citric acid as a fuel. Structural characteristics were studied using X-ray diffraction technique and it confirms the formation of cubic spinel structure. The ferrite nanoparticle size of synthesized powder ranges from 22 -24 nm. The effect of change in Mg 2+ content results in a change of the lattice parameter of ferrite nanoparticles. In the present paper, the structural parameters such as cationcation and cation-anion distances, tetrahedral, octahedral bond lengths and bond angles, hopping lengths, shared, unshared tetrahedral, and octahedral edge are reported. FTIR spectra show two prominent peaks around 524 -532 cm −1 (tetrahedral site) and 409 -432 cm −1 (octahedral site) and the force constants of the octahedral and tetrahedral site of Mg-Zn ferrite were calculated. The elastic moduli and other factors such as longitudinal, transverse and mean velocity, Poisson ratio, and Debye temperature were determined. KEYWORDS Magnesium-Zinc ferrite nanoparticles, sol-gel auto-combustion method, cubic spinel structure, bond lengths and bond angles, hopping lengths, elastic moduli FOR CITATION Patil