Cerium oxide nanoparticles (CNPs) have been proven to exhibit antioxidant properties attributed to its surface oxidation states (Ce4+ to Ce3+ and vice versa) mediated at the oxygen vacancies on the surface of CNPs. Different anions in precursor cerium salts were used to prepare CNPs resulting in disclosed CNPs with varying physicochemical properties such as dispersion stability, hydrodynamic size, and the signature surface chemistry. The antioxidant catalytic activity and oxidation potentials of different CNPs have been significantly altered with the change of anions in the precursor salts. For one, CNPs prepared using precursor salts containing NO3− and Cl− ions exhibited increased antioxidant activity than previously thought possible. The change in oxidation potentials of CNPs with the change in concentration of the nitrate and chloride ions indicates the disclosed CNP's have different surface chemistry and antioxidant properties. These compositions and methods of their synthesis are disclosed.