Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Encapsulation-induced alignment in endofullerenes

Jonathan Smucker* and Jesus Pérez-Ríos

  • *Contact author: jonathan.smucker@stonybrook.edu

Phys. Rev. Research 7, 033149 – Published 13 August, 2025

DOI: https://doi.org/10.1103/m3m2-pcmw

Abstract

Methods for creating endofullerenes have been steadily improving since their discovery, allowing for new types of endofullerenes to be created in larger numbers. When a molecule is trapped in a fullerene, the fullerene creates a harmonic trapping potential that leaves most of the fundamental properties of the internal molecule intact. The fullerene cage does create a preferred axis for the internal molecule, which we refer to as the encapsulation-induced alignment of the molecule. We explore the alignment of AlF and N2 inside of C60 by first computing the interaction between the internal molecule and the fullerene cage using ab initio electronic structure methods. Our results show that the internal molecules are found to be strongly aligned despite finding that all the calculated spectroscopic constants are relatively unaffected by the fullerene cage.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (52)

  1. H. W. Kroto, C60: Buckminsterfullerene, the celestial sphere that fell to earth, Angew. Chem., Int. Ed. Engl. 31, 111 (1992).
  2. X. Lu, L. Feng, T. Akasaka, and S. Nagase, Current status and future developments of endohedral metallofullerenes, Chem. Soc. Rev. 41, 7723 (2012).
  3. A. A. Popov, S. Yang, and L. Dunsch, Endohedral fullerenes, Chem. Rev. 113, 5989 (2013).
  4. Y. Chai, T. Guo, C. Jin, R. E. Haufler, L. P. F. Chibante, J. Fure, L. Wang, J. M. Alford, and R. E. Smalley, Fullerenes with metals inside, J. Phys. Chem. 95, 7564 (1991).
  5. M. H. Levitt, Spectroscopy of light-molecule endofullerenes, Philos. Trans. R. Soc. A 371, 20120429 (2013).
  6. W. Harneit, Spin quantum computing with endohedral fullerenes, in Endohedral Fullerenes: Electron Transfer and Spin, edited by A. A. Popov (Springer International Publishing, Cham, 2017), pp. 297–324.
  7. S. Bloodworth and R. J. Whitby, Synthesis of endohedral fullerenes by molecular surgery, Commun. Chem. 5, 121 (2022).
  8. C. Williams, M. Whitehead, and L. Pang, Interaction and dynamics of endohedral gas molecules in fullerene C60 isomers and C70, J. Phys. Chem. 97, 11652 (1993).
  9. T. Jafari, G. Razvan Bacanu, A. Shugai, U. Nagel, M. Walkey, G. Hoffman, M. H. Levitt, R. J. Whitby, and T. Rõõm, Terahertz spectroscopy of the helium endofullerene He@C60, Phys. Chem. Chem. Phys. 24, 9943 (2022).
  10. S. Ye, M. Xu, Z. Bačić, R. Lawler, and N. J. Turro, Quantum dynamics of a hydrogen molecule inside an anisotropic open-cage fullerene: Coupled translation-rotation eigenstates and comparison with inelastic neutron scattering spectroscopy, J. Phys. Chem. A 114, 9936 (2010).
  11. M. Xu, F. Sebastianelli, B. R. Gibbons, Z. Bačić, R. Lawler, and N. J. Turro, Coupled translation-rotation eigenstates of H2 in C60 and C70 on the spectroscopically optimized interaction potential: Effects of cage anisotropy on the energy level structure and assignments, J. Chem. Phys. 130, 224306 (2009).
  12. P. M. Felker and Z. Bačić, Translation-rotation states of H2 in C60: New insights from a perturbation-theory treatment, J. Chem. Phys. 145, 084310 (2016).
  13. Z. Bačić, Perspective: Accurate treatment of the quantum dynamics of light molecules inside fullerene cages: Translation-rotation states, spectroscopy, and symmetry breaking, J. Chem. Phys. 149, 100901 (2018).
  14. M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, M. A. Robb, J. R. Cheeseman, G. Scalmani, V. Barone, G. A. Petersson, H. Nakatsuji, X. Li, M. Caricato, A. V. Marenich, J. Bloino, B. G. Janesko, R. Gomperts, B. Mennucci, H. P. Hratchian, J. V. Ortiz, A. F. Izmaylov et al., gaussian 16 Revision C.01, Gaussian Inc., Wallingford, CT, 2016.
  15. A. D. Becke, Density-functional thermochemistry. iii. the role of exact exchange, J. Chem. Phys. 98, 5648 (1993).
  16. M. Ernzerhof and J. P. Perdew, Generalized gradient approximation to the angle- and system-averaged exchange hole, J. Chem. Phys. 109, 3313 (1998).
  17. H. S. Yu, X. He, S. L. Li, and D. G. Truhlar, Mn15: A Kohn–Sham global-hybrid exchange–correlation density functional with broad accuracy for multi-reference and single-reference systems and noncovalent interactions, Chem. Sci. 7, 5032 (2016).
  18. Y. Zhao and D. G. Truhlar, Design of density functionals that are broadly accurate for thermochemistry, thermochemical kinetics, and nonbonded interactions, J. Phys. Chem. A 109, 5656 (2005).
  19. A. Austin, G. A. Petersson, M. J. Frisch, F. J. Dobek, G. Scalmani, and K. Throssell, A density functional with spherical atom dispersion terms, J. Chem. Theory Comput. 8, 4989 (2012).
  20. J.-D. Chai and M. Head-Gordon, Long-range corrected hybrid density functionals with damped atom–atom dispersion corrections, Phys. Chem. Chem. Phys. 10, 6615 (2008).
  21. Z. Slanina, P. Pulay, and S. Nagase, H2, Ne, and N2 energies of encapsulation into C60 evaluated with the MPWB1K functional, J. Chem. Theory Comput. 2, 782 (2006).
  22. T. Yanai, D. P. Tew, and N. C. Handy, A new hybrid exchange–correlation functional using the Coulomb-attenuating method (CAM-B3LYP), Chem. Phys. Lett. 393, 51 (2004).
  23. G. R. Bacanu, T. Jafari, M. Aouane, J. Rantaharju, M. Walkey, G. Hoffman, A. Shugai, U. Nagel, M. Jiménez-Ruiz, A. J. Horsewill, S. Rols, T. Rõõm, R. J. Whitby, and M. H. Levitt, Experimental determination of the interaction potential between a helium atom and the interior surface of a C60 fullerene molecule, J. Chem. Phys. 155, 144302 (2021).
  24. S. Boys and F. Bernardi, The calculation of small molecular interactions by the differences of separate total energies. some procedures with reduced errors, Mol. Phys. 19, 553 (1970).
  25. S. Simon, M. Duran, and J. J. Dannenberg, How does basis set superposition error change the potential surfaces for hydrogen-bonded dimers? J. Chem. Phys. 105, 11024 (1996).
  26. Z. Slanina and S. Nagase, A computational characterization of N2@C60, Mol. Phys. 104, 3167 (2006).
  27. T. Akasaka and S. Nagase, Endofullerenes: A New Family of Carbon Clusters (Springer Science & Business Media, Berlin, 2002), Vol. 3.
  28. A. Krachmalnicoff, R. Bounds, S. Mamone, S. Alom, M. Concistre, B. Meier, K. Kouřil, M. E. Light, M. R. Johnson, S. Rols et al., The dipolar endofullerene HF@C60, Nat. Chem. 8, 953 (2016).
  29. M. Xu, P. M. Felker, S. Mamone, A. J. Horsewill, S. Rols, R. J. Whitby, and Z. Bačić, The endofullerene HF@C60: Inelastic neutron scattering spectra from quantum simulations and experiment, validity of the selection rule, and symmetry breaking, J. Phys. Chem. Lett. 10, 5365 (2019).
  30. C. Beduz, M. Carravetta, J. Y.-C. Chen, M. Concistrè, M. Denning, M. Frunzi, A. J. Horsewill, O. G. Johannessen, R. Lawler, X. Lei, M. H. Levitt, Y. Li, S. Mamone, Y. Murata, U. Nagel, T. Nishida, J. Ollivier, S. Rols, T. Rõõm, R. Sarkar et al., Quantum rotation of ortho and para-water encapsulated in a fullerene cage, Proc. Natl. Acad. Sci. USA 109, 12894 (2012).
  31. K. S. K. Goh, M. Jiménez-Ruiz, M. R. Johnson, S. Rols, J. Ollivier, M. S. Denning, S. Mamone, M. H. Levitt, X. Lei, Y. Li, N. J. Turro, Y. Murata, and A. J. Horsewill, Symmetry-breaking in the endofullerene H2O@C60 revealed in the quantum dynamics of ortho and para-water: a neutron scattering investigation, Phys. Chem. Chem. Phys. 16, 21330 (2014).
  32. P. M. Felker and Z. Bačić, Flexible water molecule in C60: Intramolecular vibrational frequencies and translation-rotation eigenstates from fully coupled nine-dimensional quantum calculations with small basis sets, J. Chem. Phys. 152, 014108 (2020).
  33. Y. Kohama, T. Rachi, J. Jing, Z. Li, J. Tang, R. Kumashiro, S. Izumisawa, H. Kawaji, T. Atake, H. Sawa, Y. Murata, K. Komatsu, and K. Tanigaki, Rotational sublevels of an ortho-hydrogen molecule encapsulated in an isotropic C60 cage, Phys. Rev. Lett. 103, 073001 (2009).
  34. S. Mamone, M. R. Johnson, J. Ollivier, S. Rols, M. H. Levitt, and A. J. Horsewill, Symmetry-breaking in the H2@C60 endofullerene revealed by inelastic neutron scattering at low temperature, Phys. Chem. Chem. Phys. 18, 1998 (2016).
  35. P. M. Felker, V. Vlček, I. Hietanen, S. FitzGerald, D. Neuhauser, and Z. Bačić, Explaining the symmetry breaking observed in the endofullerenes H2@C60, HF@C60, and H2O@C60, Phys. Chem. Chem. Phys. 19, 31274 (2017).
  36. J. Cioslowski, S. Patchkovskii, and W. Thiel, Electronic structures, geometries, and energetics of highly charged cations of the C60 fullerene, Chem. Phys. Lett. 248, 116 (1996).
  37. W. H. Green, S. M. Gorun, G. Fitzgerald, P. W. Fowler, A. Ceulemans, and B. C. Titeca, Electronic structures and geometries of C60 anions via density functional calculations, J. Phys. Chem. 100, 14892 (1996).
  38. J. Smucker and J. Pérez-Ríos, Endofullerene data, https://github.com/JonathanSmucker/Endofullerene_Data.git (2025).
  39. M. D. Hanwell, D. E. Curtis, D. C. Lonie, T. Vandermeersch, E. Zurek, and G. R. Hutchison, Avogadro: an advanced semantic chemical editor, visualization, and analysis platform, J. Cheminf. 4, 17 (2012).
  40. Y. Wang, D. Julian, M. A. Ibrahim, C. Chin, S. Bhattiprolu, E. Franco, and J. Pérez-Ríos, The database of spectroscopic constants of diatomic molecules (DSCDM): A dynamic and user-friendly interface for molecular physics and spectroscopy, J. Mol. Spectrosc. 398, 111848 (2023).
  41. F. Gerhard Herzberg, Molecular Spectra and Molecular Structure (Springer, Berlin, 1950).
  42. W. Demtröder, Molecular Physics: Theoretical Principles and Experimental Methods (John Wiley & Sons, New York, 2008).
  43. G. Herzberg, Molecular Spectra and Molecular Structure. I. Spectra of Diatomic Molecules (Van Nostrand Reinhold Company, New York, 1950).
  44. F. J. Lovas, E. Tiemann, J. S. Coursey, S. A. Kotochigova, K. O. J. Chang, and R. A. Dragoset, The Nist Diatomic Data Base, https://dx.doi.org/10.18434/T4T59X.
  45. D. S. Sabirov, Polarizability as a landmark property for fullerene chemistry and materials science, RSC Adv. 4, 44996 (2014).
  46. M. Ge, U. Nagel, D. Hüvonen, T. Rõõm, S. Mamone, M. H. Levitt, M. Carravetta, Y. Murata, K. Komatsu, J. Y.-C. Chen, and N. J. Turro, Interaction potential and infrared absorption of endohedral H2 in C60, J. Chem. Phys. 134, 054507 (2011).
  47. O. Shameema, C. N. Ramachandran, and N. Sathyamurthy, Blue shift in X-H stretching frequency of molecules due to confinement, J. Phys. Chem. A 110, 2 (2006).
  48. G. A. Dolgonos and G. H. Peslherbe, Encapsulation of diatomic molecules in fullerene C60: implications for their main properties, Phys. Chem. Chem. Phys. 16, 26294 (2014).
  49. T. Seideman, Revival structure of aligned rotational wave packets, Phys. Rev. Lett. 83, 4971 (1999).
  50. H. Yu, T.-S. Ho, and H. Rabitz, Optimal control of orientation and entanglement for two dipole–dipole coupled quantum planar rotors, Phys. Chem. Chem. Phys. 20, 13008 (2018).
  51. M. J. J. Vrakking, D. M. Villeneuve, and A. Stolow, Observation of fractional revivals of a molecular wave packet, Phys. Rev. A 54, R37 (1996).
  52. H. Stapelfeldt and T. Seideman, Colloquium: Aligning molecules with strong laser pulses, Rev. Mod. Phys. 75, 543 (2003).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation