First-Principle Calculations of Large Fullerenes

Area of Science:

• Computational Chemistry
• Materials Science
• Condensed Matter Physics

Background:

• Fullerenes are allotropes of carbon with unique properties.
• Investigating large fullerenes is crucial for understanding carbon nanomaterials.
• Previous studies often relied on symmetry constraints for large fullerene calculations.

Purpose of the Study:

• To perform first-principle calculations on large fullerenes (C180, C240, C320, C540).
• To analyze the structural evolution and binding energies of these large fullerenes.
• To demonstrate the capability of DFT for large-scale, non-symmetry-adapted calculations.

Main Methods:

• State-of-the-art density functional theory (DFT) using the linear combination of Gaussian-type orbitals (LCGTO-DFT) approach.
• All-electron basis sets were employed for all calculations.
• Full optimization of fullerene structures without symmetry constraints.

Main Results:

• Detailed analysis of the optimized structures of C180, C240, C320, and C540 fullerenes.
• Study of the evolution of bond lengths and calculated binding energies across different fullerene sizes.
• Comparison of fullerene results with diamond and graphene, calculated at the same theoretical level.

Conclusions:

• Density functional theory (DFT) is capable of performing accurate energy and structure computations for large-scale carbon structures.
• This study represents the first systematic, non-symmetry-adapted first-principle investigation of these large fullerenes.
• The findings provide valuable insights into the properties of large fullerene systems and the applicability of DFT methods.