White nanosheets, yellow nanoislands and purple nanorods of CeO 2 have been synthesized by a hydrothermal method. Indirect and direct photon energies of CeO 2 of the white nanosheets (1.8, 2.1 eV), yellow nanoislands (2.2, 2.4 eV) and purple nanorods (2.0, 2.2 eV) are demonstrated, respectively. The difference in the electron spin-orbit coupling states between Ce 3d and O 2p may play an important role in their band gap energies.