Surface structures of Fe3O4 (111), (110), and (001): A density functional theory study

The surface structures of Fe 3 O 4 (111), (110), and (001) have been studied at the level of density functional theory. It is found that there are two most stable Fe 3 O 4 (111) surfaces in close energy and terminated with the exposed tetrahedral and octahedral iron layers. Both Fe 3 O 4 (110) and Fe 3 O 4 (001) surfaces have two surface terminations in close energy. The computed results agree well with the experiments and explain reasonably the observed diversity and complexity of the experiments. The computed surface free energies indicate that (111) is less favorable thermodynamically than (110) and (001), and the formation of (111) should be kinetic controlled.