Cerium oxide Nanoparticles) CeNPs are used in chemical mechanical polishing/planarization, corrosion protection, solar cells, fuel oxidation catalysis, automotive exhaust treatment, and sensing. However, their synthesis process increases the likelihood of exposure, potential health effects, and ecological implications; consequently, in regard to this one, it was important to synthesize CeNPs in an environmentally friendly and affordable way to create a better structure. This work discusses the numerous structural properties of CeNPs and is solely concerned with their economical hydrothermal production. To comprehend the shape, FE-SEM was used which shows the granular-like structure. The elastic characteristics of the material like Bulk Modulus was 177GPa, Sher Modulus was 78GPa, Poisson’s ratio was 0.32 and some other properties were also determined by using the FTIR spectrum and also reveal numerous functional groups. The CeO₂ XRD pattern reveals a cubic structure of the space group Fm3m with a density of 6.74gmcm^-3, a volume of 157.81×106pm³, a crystallite size of 18.66nm, a lattice strain of 0.0041, and many other estimated structural characteristics, Rietveld Refinement was also performed for the refined parameters that suggest the high quality of structural parameters like R-factors, wR-factor (𝜒 2) and also designing the crystal structure of cerium oxide nanoparticles. When examining the composition and nature of bonding materials, the structural features are of the utmost significance. It offers a variety of information regarding the subject material's general qualities. Excellent characteristics of nanomaterials include high chemical and physical stability, low density, and a big surface area. Nanomaterials are well-liked options for the creation of brand-new, functioning membranes because of their superior qualities.