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A Simple Model for Relative Energies of All Fullerenes Reveals the Interplay between Intrinsic Resonance and Structural Deformation Effects in Medium-Sized Fullerenes

  • Bun Chan*
    Bun Chan
    Graduate School of Engineering, Nagasaki University, Bunkyo 1-14, Nagasaki-shi, Nagasaki 852-8521, Japan
    *E-mail: [email protected]
    More by Bun Chan
  • Yukio Kawashima
    Yukio Kawashima
    RIKEN Center for Computational Science, 7-1-26 Minatojima-minami-machi, Chuo-ku, Kobe, Hyogo 650-0047, Japan
    More by Yukio Kawashima
  • William Dawson
    William Dawson
    RIKEN Center for Computational Science, 7-1-26 Minatojima-minami-machi, Chuo-ku, Kobe, Hyogo 650-0047, Japan
    More by William Dawson
  • Michio Katouda
    Michio Katouda
    RIKEN Center for Computational Science, 7-1-26 Minatojima-minami-machi, Chuo-ku, Kobe, Hyogo 650-0047, Japan
    More by Michio Katouda
  • Takahito Nakajima
    Takahito Nakajima
    RIKEN Center for Computational Science, 7-1-26 Minatojima-minami-machi, Chuo-ku, Kobe, Hyogo 650-0047, Japan
  • , and 
  • Kimihiko Hirao
    Kimihiko Hirao
    RIKEN Center for Computational Science, 7-1-26 Minatojima-minami-machi, Chuo-ku, Kobe, Hyogo 650-0047, Japan
    More by Kimihiko Hirao
Cite this: J. Chem. Theory Comput. 2019, 15, 2, 1255–1264
Publication Date (Web):January 31, 2019
https://doi.org/10.1021/acs.jctc.8b00981
Copyright © 2019 American Chemical Society

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    Abstract

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    Fullerenes are sheets of sp2 carbon atoms wrapped around to form spheres. With this simple consideration, we have in the present study devised and (with over 3600 DFT data points) successfully validated a simple model, termed R+D, for estimating the relative energies of fullerenes. This model contains a resonance component to account for the intrinsic differences between the π-energies of different fullerenes, and a deformation component for treating the distortions from planarity. Notably, we find that both terms (and they alone) are required to obtain good relative energies, which lends support to the formulation of the R+D model. An interesting finding is that for some medium-sized IPR fullerenes, their isomers show similar variations in the two components. We deduce that these fullerenes may represent a good opportunity for tuning molecular properties for practical applications. We hope that the promising results of the present study will encourage further investigations into fullerenes from a fundamental perspective.

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    The Supporting Information is available free of charge on the ACS Publications website at DOI: 10.1021/acs.jctc.8b00981.

    • Additional comparisons between benchmark relative energies and those for more approximate methods (PDF)

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    Cited By

    This article is cited by 15 publications.

    1. Bun Chan. DAPD Set of Pd-Containing Diatomic Molecules: Accurate Molecular Properties and the Great Lengths to Obtain Them. Journal of Chemical Theory and Computation 2023, 19 (24) , 9260-9268. https://doi.org/10.1021/acs.jctc.3c01060
    2. Bun Chan. Compilation of Ionic Clusters with the Rock Salt Structure: Accurate Benchmark Thermochemical Data, Assessment of Quantum Chemistry Methods, and the Convergence Behavior of Lattice Energies. The Journal of Physical Chemistry A 2023, 127 (27) , 5652-5661. https://doi.org/10.1021/acs.jpca.3c01880
    3. Bun Chan. High-Level Quantum Chemistry Reference Heats of Formation for a Large Set of C, H, N, and O Species in the NIST Chemistry Webbook and the Identification and Validation of Reliable Protocols for Their Rapid Computation. The Journal of Physical Chemistry A 2022, 126 (30) , 4981-4990. https://doi.org/10.1021/acs.jpca.2c03846
    4. Amir Karton. Fullerenes Pose a Strain on Hybrid Density Functional Theory. The Journal of Physical Chemistry A 2022, 126 (29) , 4709-4720. https://doi.org/10.1021/acs.jpca.2c02246
    5. Bun Chan. Fullerene Thermochemical Stability: Accurate Heats of Formation for Small Fullerenes, the Importance of Structural Deformation on Reactivity, and the Special Stability of C60. The Journal of Physical Chemistry A 2020, 124 (33) , 6688-6698. https://doi.org/10.1021/acs.jpca.0c04732
    6. Bun Chan. A step-by-step investigation of sodium chloride clusters: accurate references, assessment of low-cost methods, and convergence from molecule to salt. Molecular Physics 2023, 121 (9-10) https://doi.org/10.1080/00268976.2022.2088422
    7. Bun Chan, Amir Karton. Computational insights into the singlet–triplet energy gaps, ionization energies, and electron affinities for a diverse set of 812 small fullerenes (C 20 –C 50 ). Physical Chemistry Chemical Physics 2023, 25 (15) , 10899-10906. https://doi.org/10.1039/D3CP01357J
    8. Yanbo Han, Mengyang Li, Xiang Zhao. Effects of orbital angles on the modeling of conjugated systems with curvature. Physical Chemistry Chemical Physics 2022, 24 (44) , 27467-27473. https://doi.org/10.1039/D2CP03549A
    9. Amir Karton, Bun Chan. Performance of local G4(MP2) composite ab initio procedures for fullerene isomerization energies. Computational and Theoretical Chemistry 2022, 1217 , 113874. https://doi.org/10.1016/j.comptc.2022.113874
    10. Bun Chan, Amir Karton. Assessment of DLPNO‐CCSD (T)‐ F12 and its use for the formulation of the low‐cost and reliable L‐W1X composite method. Journal of Computational Chemistry 2022, 43 (21) , 1394-1402. https://doi.org/10.1002/jcc.26892
    11. Alireza Aghajamali, Amir Karton. Superior performance of the machine-learning GAP force field for fullerene structures. Structural Chemistry 2022, 33 (2) , 505-510. https://doi.org/10.1007/s11224-021-01864-1
    12. Alireza Aghajamali, Amir Karton. Can force fields developed for carbon nanomaterials describe the isomerization energies of fullerenes?. Chemical Physics Letters 2021, 779 , 138853. https://doi.org/10.1016/j.cplett.2021.138853
    13. Bun Chan, Amir Karton. Polycyclic aromatic hydrocarbons: from small molecules through nano-sized species towards bulk graphene. Physical Chemistry Chemical Physics 2021, 23 (32) , 17713-17723. https://doi.org/10.1039/D1CP01659H
    14. Bun Chan, Eric Collins, Krishnan Raghavachari. Applications of isodesmic‐type reactions for computational thermochemistry. WIREs Computational Molecular Science 2021, 11 (3) https://doi.org/10.1002/wcms.1501
    15. Simone L. Waite, Amir Karton, Bun Chan, Alister J. Page. Thermochemical stabilities of giant fullerenes using density functional tight binding theory and isodesmic‐type reactions. Journal of Computational Chemistry 2021, 42 (4) , 222-230. https://doi.org/10.1002/jcc.26449

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