ABSTRACT:The structure, electronic property, and infrared spectroscopy of endohedral metallofullerenes TM@C 20 (TM ¼ Ce and Gd) have been systematically investigated with the aid of the hybrid DFT-B3LYP functional. It is found that in the endohedral metallofullerenes the average CAC bond lengths are obvious longer than those of empty cage. The frontier orbital analyses show that the endohedral metallofullerene Gd@C 20 has the high-thermodynamic stability. Natural population analysis also tells us that only in the Ce@C 20 , the Ce atom acts as an electron acceptor with the negative charges, and the 4f orbitals of Ce and Gd atoms have a significant contribution in the formation of chemical bonding. Additionally, the analyses of harmonic vibrational frequencies reveal that when the TM atoms are encapsulated into the C 20 cage, the strongest absorption peaks are characterized by a mixture of TMÀC bending and CAC stretching vibrations.