The M@C 36 compounds form a family of small endohedral metallofullerenes. Recently, these have been detected as the smallest endohedral compounds formed with Sc, Y, and La. For the first time, these compounds are studied theoretically. Calculations obtained at the dispersion-corrected DFT level PBE-D3(BJ)/def2-TZVP agree admirably with experimental results. The zero-point energy corrected binding energies can explain the lower abundance of La@C 36 in comparison with Sc@C 36 and Y@C 36 . Their small HOMO-LUMO gaps denote high reactivity. The bond between Y and Sc with the cage is mostly covalent. In contrast, La is located at the fullerene's center with an ionic interaction; all metals transferred charge to the cage. Furthermore, La@C 36 was found in doublet state and the others preferred the quartet state. To conclude, according to the analysis of aromaticity performed by the NICS(0) iso index, the insertion of none of these metals increase the aromaticity.
K E Y W O R D SC36 fullerene, density functional theory calculation, dispersion-corrected, electronic structure, endohedral fullerenes
| I N T R O D U C T I O NSince the same year of their discovery, [1] fullerenes have stood out for their capacity [2] of trapping other species (atoms, [3][4][5] molecules, [3][4][5] or clusters [6] ) inside of them; hence, a large number of studies have been done. [3][4][5] The internally doped fullerenes are known as endohedral fullerenes (EFs); being the endohedral metallofullerenes (EMFs) the most studied EFs, formed by C 60 or bigger cages, which contain lanthanide atoms as their endohedral species. [3][4][5][6] The most notable difference between hollow fullerenes and EFs is that the latter can violate the isolated pentagon rule (IPR). [3][4][5][6] IPR establishes that a cage without adjacent pentagonal rings will form the most energetically favorable isomer of a hollow fullerene, however, EFs can violate this rule [7] and several non-IPR endohedral fullerenes have been synthesized. [3][4][5][6] Despite the fact that, theoretically, C 20 is the smallest possible fullerene, [8] its strained structure is not energetically favorable and the ring geometry is preferred [9] ; as a result, C 28 is the smallest fullerene detected in mass spectra. [10] Moreover, other small fullerenes (smaller than C 60 ) have been experimentally obtained [11,12] and some have been predicted to be stable. [13] Particularly, numerous experiments have been done on C 36 in gas phase. [11,12,[14][15][16][17] The HOMO-LUMO gap of several small fullerenes were measured by anion photoelectron spectroscopy. [15] The gap of 0.8 eV, measured for C 36 , agrees with that calculated (below than 0.5 eV) by a density-functional-based tightbinding method, [15] due to the large error bar obtained in the experimental value. [15] Similarly, C 32 , C 44 , and C 50 show large gaps and high stabilities. [15] The D 6h and D 2d isomers (non-IPR) of C 36 have the minimal number of adjacent pentagonal rings among the 15 possible isomers. [18] Both using density functional ...