This document summarizes cerium oxide (CeO2) nanoparticles, including their structure, synthesis methods, and applications. CeO2 nanoparticles have a fluorite crystalline structure and adopt different shapes depending on their size. They can be synthesized via various methods like precipitation and have uses in diesel engines and medical treatments. Specifically, adding CeO2 nanoparticles to diesel fuel improves engine performance and reduces emissions by promoting more complete combustion. The nanoparticles also have potential applications in treating neurological diseases involving oxidative stress, like Parkinson's, due to their antioxidant properties.