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Yen TW, Lai SK. The subtlety of resolving orbital angular momenta in calculating Hubbard U parameters in the density functional tight-binding theory and its delicacy is illustrated by the calculated magnetic properties of carbon clusters. Theor Chem Acc 2018. [DOI: 10.1007/s00214-018-2334-9] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Gan LH, Wu R, Tian JL, Clarke J, Gibson C, Fowler PW. From C(58) to C(62) and back: Stability, structural similarity, and ring current. J Comput Chem 2017; 38:144-151. [PMID: 27813179 DOI: 10.1002/jcc.24661] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/11/2016] [Revised: 09/27/2016] [Accepted: 09/29/2016] [Indexed: 11/11/2022]
Abstract
An increasing number of observations show that non-classical isomers may play an important role in the formation of fullerenes and their exo- and endo-derivatives. A quantum-mechanical study of all classical isomers of C58 , C60 , and C62 , and all non-classical isomers with at most one square or heptagonal face, was carried out. Calculations at the B3LYP/6-31G* level show that the favored isomers of C58 , C60 , and C62 have closely related structures and suggest plausible inter-conversion and growth pathways among low-energy isomers. Similarity of the favored structures is reinforced by comparison of calculated ring currents induced on faces of these polyhedral cages by radial external magnetic fields, implying patterns of magnetic response similar to those of the stable, isolated-pentagon C60 molecule. © 2016 Wiley Periodicals, Inc.
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Affiliation(s)
- Li-Hua Gan
- Department of Chemistry, Sheffield University, Sheffield, S3 7HF, United Kingdom.,School of Chemistry and Chemical Engineering, Southwest University, Chongqing, 400715, China
| | - Rui Wu
- School of Chemistry and Chemical Engineering, Southwest University, Chongqing, 400715, China
| | - Jian-Lei Tian
- School of Chemistry and Chemical Engineering, Southwest University, Chongqing, 400715, China
| | - Joseph Clarke
- Department of Chemistry, Sheffield University, Sheffield, S3 7HF, United Kingdom
| | - Christopher Gibson
- Department of Chemistry, Sheffield University, Sheffield, S3 7HF, United Kingdom
| | - Patrick W Fowler
- Department of Chemistry, Sheffield University, Sheffield, S3 7HF, United Kingdom
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Adjizian JJ, Vlandas A, Rio J, Charlier JC, Ewels CP. Ab initio infrared vibrational modes for neutral and charged small fullerenes (C20, C24, C26, C28, C30 and C60). PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2016; 374:rsta.2015.0323. [PMID: 27501975 PMCID: PMC4978747 DOI: 10.1098/rsta.2015.0323] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 04/05/2016] [Indexed: 06/06/2023]
Abstract
We calculate the infrared (IR) absorption spectra using DFT B3LYP(6-311G) for a range of small closed-cage fullerenes, Cn, n=20, 24, 26, 28, 30 and 60, in both neutral and multiple positive and negative charge states. The results are of use, notably, for direct comparison with observed IR absorption in the interstellar medium. Frequencies fall typically into two ranges, with C-C stretch modes around 1100-1500 cm(-1) (6.7-9.1 μm) and fullerene-specific radial motion associated with under-coordinated carbon at pentagonal sites in the range 600-800 cm(-1) (12.5-16.7 μm). Notably, negatively charged fullerenes show significantly stronger absorption intensities than neutral species. The results suggest that small cage fullerenes, and notably metallic endofullerenes, may be responsible for many of the unassigned interstellar IR spectral lines.This article is part of the themed issue 'Fullerenes: past, present and future, celebrating the 30th anniversary of Buckminster Fullerene'.
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Affiliation(s)
- Jean-Joseph Adjizian
- Institute of Condensed Matter and Nanosciences, Université Catholique de Louvain, Chemin des Étoiles 8, 1348 Louvain-la-Neuve, Belgium
| | - Alexis Vlandas
- BioMEMS, Université Lille, CNRS, ISEN, UMR 8520-IEMN, 59000 Lille, France
| | - Jeremy Rio
- Institut des Materiaux Jean Rouxel, CNRS, University of Nantes, UMR6502, 2 Rue de la Houssiniere, BP32229, 44322 Nantes Cedex 3, France
| | - Jean-Christophe Charlier
- Institute of Condensed Matter and Nanosciences, Université Catholique de Louvain, Chemin des Étoiles 8, 1348 Louvain-la-Neuve, Belgium
| | - Chris P Ewels
- Institut des Materiaux Jean Rouxel, CNRS, University of Nantes, UMR6502, 2 Rue de la Houssiniere, BP32229, 44322 Nantes Cedex 3, France
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Dias JR. Systematic Construction and Calculation of Electronic Properties of Fullerene Series Related by Rotational Symmetry: From Fullerenes to Bicapped Nanotubes. J Phys Chem A 2016; 120:3975-82. [PMID: 27213617 DOI: 10.1021/acs.jpca.6b03897] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The results herein demonstrate that the methods of circumscribing and the facile calculation of Hückel molecular orbital (HMO) eigenvalues by mirror-plane fragmentation have a broad application in the construction of carbon cluster series and the systematic study of trends in their electronic properties. In comparing open-ended nanotubes and their isomeric elongated fullerenes (bicapped nanotubes), we show that the former are more aromatic but the latter are more conjugated and that progressive elongation increases aromaticity and conjugation in both. Recursion equations that will allow one to obtain the eigenvalues to all 5-endcapped nanotubes are given.
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Affiliation(s)
- Jerry Ray Dias
- Department of Chemistry, University of Missouri-Kansas City , Kansas City, Missouri 64110-2499, United States
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Luo CY, Huang WQ, Xu L, Yang YC, Li X, Hu W, Peng P, Huang GF. Electronic properties and photoactivity of monolayer MoS2/fullerene van der Waals heterostructures. RSC Adv 2016. [DOI: 10.1039/c6ra05672e] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023] Open
Abstract
van der Waals (vdW) heterostructures have attracted immense interest recently due to their unusual properties and new phenomena.
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Affiliation(s)
- Cai-Yun Luo
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
| | - Wei-Qing Huang
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
| | - Liang Xu
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
| | - Yin-Cai Yang
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
| | - Xiaofan Li
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
| | - Wangyu Hu
- School of Materials Science and Engineering
- Hunan University
- Changsha 410082
- China
| | - P. Peng
- School of Materials Science and Engineering
- Hunan University
- Changsha 410082
- China
| | - Gui-Fang Huang
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
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Luo CY, Huang WQ, Xu L, Yang YC, Li X, Hu W, Peng P, Huang GF. Enhanced photocatalytic performance of an Ag3PO4 photocatalyst via fullerene modification: first-principles study. Phys Chem Chem Phys 2016; 18:2878-86. [DOI: 10.1039/c5cp05699c] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The coupling of carbon nanomaterials with semiconductor photocatalysts is a promising route to improve their photocatalytic performance.
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Affiliation(s)
- Cai-Yun Luo
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
| | - Wei-Qing Huang
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
| | - Liang Xu
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
| | - Yin-Cai Yang
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
| | - Xiaofan Li
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
| | - Wangyu Hu
- School of Materials Science and Engineering
- Hunan University
- Changsha 410082
- China
| | - P. Peng
- School of Materials Science and Engineering
- Hunan University
- Changsha 410082
- China
| | - Gui-Fang Huang
- Department of Applied Physics
- School of Physics and Electronics
- Hunan University
- Changsha 410082
- China
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Schwerdtfeger P, Wirz LN, Avery J. The topology of fullerenes. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2014; 5:96-145. [PMID: 25678935 PMCID: PMC4313690 DOI: 10.1002/wcms.1207] [Citation(s) in RCA: 115] [Impact Index Per Article: 11.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
Abstract
Fullerenes are carbon molecules that form polyhedral cages. Their bond structures are exactly the planar cubic graphs that have only pentagon and hexagon faces. Strikingly, a number of chemical properties of a fullerene can be derived from its graph structure. A rich mathematics of cubic planar graphs and fullerene graphs has grown since they were studied by Goldberg, Coxeter, and others in the early 20th century, and many mathematical properties of fullerenes have found simple and beautiful solutions. Yet many interesting chemical and mathematical problems in the field remain open. In this paper, we present a general overview of recent topological and graph theoretical developments in fullerene research over the past two decades, describing both solved and open problems. WIREs Comput Mol Sci 2015, 5:96-145. doi: 10.1002/wcms.1207 Conflict of interest: The authors have declared no conflicts of interest for this article. For further resources related to this article, please visit the WIREs website.
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Affiliation(s)
- Peter Schwerdtfeger
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study, Massey University Auckland Auckland, New Zealand ; Fachbereich Chemie, Philipps-Universität Marburg Marburg, Germany
| | - Lukas N Wirz
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study, Massey University Auckland Auckland, New Zealand
| | - James Avery
- Niels Bohr Institute, University of Copenhagen Copenhagen, Denmark
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Tan YZ, Chen RT, Liao ZJ, Li J, Zhu F, Lu X, Xie SY, Li J, Huang RB, Zheng LS. Carbon arc production of heptagon-containing fullerene[68]. Nat Commun 2011; 2:420. [PMID: 21829182 PMCID: PMC3267027 DOI: 10.1038/ncomms1431] [Citation(s) in RCA: 51] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/18/2011] [Accepted: 07/12/2011] [Indexed: 11/09/2022] Open
Abstract
A carbon heptagon ring is a key unit responsible for structural defects in sp2-hybrized carbon allotropes including fullerenes, carbon nanotubes and graphenes, with consequential influences on their mechanical, electronic and magnetic properties. Previous evidence concerning the existence of heptagons in fullerenes has been obtained only in off-line halogenation experiments through top-down detachment of a C2 unit from a stable fullerene. Here we report a heptagon-incorporating fullerene C68, tentatively named as heptafullerene[68], which is captured as C68Cl6 from a carbon arc plasma in situ. The occurrence of heptagons in fullerenes is rationalized by heptagon-related strain relief and temperature-dependent stability. 13C-labelled experiments and mass/energy conservation equation simulations show that heptafullerene[68] grows together with other fullerenes in a bottom-up fashion in the arc zone. This work extends fullerene research into numerous topologically possible, heptagon-incorporating isomers and provides clues to an understanding of the heptagon-involved growth mechanism and heptagon-dependent properties of fullerenes. Chemical manipulation of fullerenes has allowed the production of heptagon-containing fullerenes, but they have not been synthesised using bottom-up approaches. Here, a heptagon-containing fullerene[68] is obtained as C68Cl6 from a carbon arc plasma.
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Affiliation(s)
- Yuan-Zhi Tan
- State Key Laboratory of Physical Chemistry of Solid Surfaces and Department of Chemistry, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China
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Gan LH, An J, Pan FS, Chang Q, Liu ZH, Tao CY. Geometrical and Electronic Rules in Fullerene-Based Compounds. Chem Asian J 2011; 6:1304-14. [DOI: 10.1002/asia.201100020] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2011] [Indexed: 11/08/2022]
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