The present disclosure relates to nanoparticle compositions, catalyst compositions, processes for making nanoparticle compositions and processes for making catalyst compositions. In at least one embodiment, a composition includes a plurality of nanoparticles, where each nanoparticle includes a kernel, the kernels include at least one metal element and oxygen, and the kernels have an average particle size from 4 to 100 nanometers, and a particle size distribution of less than 20%.