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Stabilities Referring to the f Electron Effect in Erbium-Based Endohedral Metallofullerenes: Revisiting Er2@C80 and
Yanbo Han1, Hong Zheng2, Jun He3
1School of Chemistry, State Key Laboratory of Electrical Insulation and Power Equipment & MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Xi'an Jiaotong University, Xi'an 710049, China.
Abstract:
Endohedral metallofullerenes (EMFs) involving lanthanide elements exhibit unique physicochemical properties, with one of the key factors being the presence of 4f electrons. These 4f electrons contribute to complex metal-metal and metal-cage interactions. Despite extensive research on their properties, a thorough theoretical interpretation of the effect of 4f electrons on the EMF stability and structure remains lacking. In this study, building on previous findings that highlighted Er2@C80 as a potential magnetic molecule, the stabilities and metal-metal/metal-cage interactions of the Er2C80 system have been explored using density functional theory calculations combined with statistical thermodynamic analyses. Three thermodynamically stable isomers are identified: Er2@Ih(31924)-C80, Er2C2@C1(23349)-C78, and Er2C2@C1(22595)-C78. The Er2@Ih-C80 isomer features a two-center one-electron Er-Er bond stabilized by significant charge transfer to the C80 cage. Extended Transition State-Natural Orbitals for Chemical Valence (ETS-NOCV) analysis reveals electron redistribution within the cage and stabilization of the Er-Er bond, which corroborates earlier model conclusion of the magnetic properties of Er2@C80. Analyses of different electronic configurations of the main Er2C80 isomers and Er2 cluster reveal a significant impact on the exchange interaction of 4f electrons to the stability of the whole Er2C80 molecule.
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