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

Abstract.

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 $-0.064~\mu_B$ 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.