Frontier orbitals analysis and density-functional energetics for metal-substituted fullerene C58Fe2

The formation mechanism, geometric structures, and electronic properties of a metal-substituted fullerene C₅₈Fe₂ have been studied using frontier orbital theory (FOT) and density functional theory (DFT). FOT predicts that two Fe atoms prefer to substitute the two carbons of a [6,6] double bond of C₆₀ yielding a structure denoted as C₅₈Fe₂-3, which is different from the two equivalent substitution sites, i.e., the sites on the opposite of C₆₀ cage or in the nearest neighboring sites of a pentagonal ring for C₅₈X₂ (X=N and B), and also different from the cross sites of a hexagonal ring for C₅₈Si₂. Five possible structures of C₅₈Fe₂ are optimized using DFT to see whether FOT works. The DFT calculations support the prediction of FOT. The Mulliken charge of Fe atom in C₅₈Fe₂-3 shows that the two Fe atoms of C₅₈Fe₂-3 lose 0.70 electron to the carbons of the cage, and the net spin populations of Fe atom indicate that each Fe atom has 1.11 μ_B magnetic moments, while each of the four nearest neighboring carbons has magnetic moments. Thus, the two Fe atoms have ferromagnetic interaction with each other, and have weak antiferromagnetic interaction with their four nearest neighboring carbons, leaving 2.0 μ_B magnetic moments for the molecule.