1
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Wei J, Rodríguez-Kessler PL, Saillard JY, Muñoz-Castro A. Cuboctahedral Pd 13 as a spherical aromatic noble metal core: insights from a ligand-protected [Pd 13(Tr) 6] 2+ cluster. Dalton Trans 2024; 53:16740-16746. [PMID: 39347686 DOI: 10.1039/d4dt01633e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/01/2024]
Abstract
Low-valent palladium nanoparticles are efficient species promoting catalytic activity and selectivity in a number of chemical reactions. Recently, an atom-centered cuboctahedral Pd13 motif has been characterized as a ligand-protected [Pd13(Tr)6]2+ cluster featuring a 1s2 superatomic shell structure. In this report, we describe the ligand-cluster of and endohedral-cage interaction in [Pd13(Tr)6]2+, which accounts for a favorable situation in the overall cluster. In addition, the spherical aromatic properties of the cluster were evaluated to understand the behavior of the ligand-protected Pd13 cluster core. Our results indicate a sizable interaction towards carbon-based ligands in an overall spherical aromatic cluster featuring a long-range shielding cone. Thus, [Pd13(Tr)6]2+ is rationalized as the first ligand-protected palladium cluster to date exhibiting spherical aromatic properties, serving as a stable building block for molecule-based materials or as a dopant in porous carbon materials.
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Affiliation(s)
- Jianyu Wei
- School of Materials and New Energy, Ningxia University, Yinchuan, Ningxia 750021, China
| | - Peter L Rodríguez-Kessler
- Centro de Investigaciones en Óptica A.C., Loma del Bosque 115, Col. Lomas del Campestre, León, Guanajuato, 37150, Mexico
| | - Jean-Yves Saillard
- Institut des Sciences Chimiques de Rennes, Univ Rennes, CNRS, UMR 6226, Rennes F-35000, France.
| | - Alvaro Muñoz-Castro
- Facultad de Ingeniería, Arquitectura y Diseño, Universidad San Sebastián, Bellavista 7, Santiago, 8420524, Chile.
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2
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Stasyuk OA, Voityuk AA, Stasyuk AJ. Facilitating Electron Transfer by Resizing Cyclocarbon Acceptor from C 18 to C 16. Chemistry 2024; 30:e202400215. [PMID: 38530218 DOI: 10.1002/chem.202400215] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/17/2024] [Revised: 03/25/2024] [Accepted: 03/26/2024] [Indexed: 03/27/2024]
Abstract
Recent advances in synthetic methods, combined with tip-induced on-surface chemistry, have enabled the formation of numerous cyclocarbon molecules. Here, we investigate computationally the experimentally studied C16 and C18 molecules as well as their van der Waals (vdW) complexes with several typical donor and acceptor molecules. Our results demonstrate a remarkable electron-withdrawing ability of cyclocarbon molecules. The vdW complexes of C16 and C18 exhibit a thermodynamically favorable photoinduced electron transfer (ET) from the donor partner to the cyclocarbons that occurs on a picosecond time scale. The lower reorganization energy of C16 compared to C18 leads to a significant acceleration of the ET reactions.
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Affiliation(s)
- O A Stasyuk
- Institut de Química Computacional i Catàlisi and Departament de Química, Universitat de Girona, C/ Maria Aurèlia, Capmany 69, 17003, Girona, Catalonia, Spain
| | - A A Voityuk
- Institut de Química Computacional i Catàlisi and Departament de Química, Universitat de Girona, C/ Maria Aurèlia, Capmany 69, 17003, Girona, Catalonia, Spain
| | - A J Stasyuk
- Institut de Química Computacional i Catàlisi and Departament de Química, Universitat de Girona, C/ Maria Aurèlia, Capmany 69, 17003, Girona, Catalonia, Spain
- Faculty of Chemistry, University of Warsaw, Pasteura 1, 02-093, Warsaw, Poland
- Departament de Farmàcia, i Tecnologia Farmacèutica, i Fisicoquímica, Facultat de Farmàcia i Ciències de l'Alimentació, Universitat de Barcelona (UB), Barcelona, Spain
- Institut de Química Teòrica i Computacional (IQTCUB), Universitat de Barcelona (UB), Barcelona, Spain
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3
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Lu QL, Jiang SL, Luo QQ. Sr-centered monocyclic carbon ring Sr@C 14: A new stable cluster. J Mol Graph Model 2024; 128:108727. [PMID: 38354467 DOI: 10.1016/j.jmgm.2024.108727] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/27/2023] [Revised: 02/07/2024] [Accepted: 02/09/2024] [Indexed: 02/16/2024]
Abstract
The study of stable neutral metal endohedral cyclo[n]carbon is helpful for discovering single-molecule devices. Extensive structural search and density functional theory calculations performed here indicate that the perfect planar alkaline metal-doped complexes Sr@C14 possess the well-defined global minima of the system with the metal atom located exactly at the center of the carbon ring. The configuration and bonding properties of C14 are different from those of pristine cyclo [14]carbon. The significant stabilization when forming Sr@C14 predominantly originates from the electrostatic interaction between Sr2+ and C142-. The detailed molecular orbital, nucleus-independent chemical shift (NICS), and ring current analyses indicate that Sr@C14 is aromatic in nature. The NICS values of Sr@C14 are considerably larger than those of benzene. Ab initio molecular dynamics simulations at different temperatures reveal that this system exhibits certain stability at low or moderate temperatures. The findings of this study effectively enrich the chemical structures and bonding patterns of metal-doped cyclo[n]carbon and provide the knowledge required to obtain novel structures of Sr@C14 in future experiments.
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Affiliation(s)
- Qi Liang Lu
- School of Physics and Optoelectronic Engineering, Anhui University, Hefei, 230601, Anhui, PR China.
| | - Shuang Long Jiang
- School of Physics and Optoelectronic Engineering, Anhui University, Hefei, 230601, Anhui, PR China
| | - Qi Quan Luo
- Institute of Physical Science and Information Technology, Anhui University, Hefei, 230601, PR China; Department of Chemical Physics, University of Science and Technology of China, Hefei, 230026, Anhui, PR China
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4
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Rončević I, Leslie FJ, Rossmannek M, Tavernelli I, Gross L, Anderson HL. Aromaticity Reversal Induced by Vibrations in Cyclo[16]carbon. J Am Chem Soc 2023; 145:26962-26972. [PMID: 38039504 PMCID: PMC10722511 DOI: 10.1021/jacs.3c10207] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2023] [Revised: 10/29/2023] [Accepted: 10/31/2023] [Indexed: 12/03/2023]
Abstract
Aromaticity is typically regarded as an intrinsic property of a molecule, correlated with electron delocalization, stability, and other properties. Small variations in the molecular geometry usually result in small changes in aromaticity, in line with Hammond's postulate. For example, introducing bond-length alternation in benzene and square cyclobutadiene by modulating the geometry along the Kekulé vibration gradually decreases the magnitude of their ring currents, making them less aromatic and less antiaromatic, respectively. A sign change in the ring current, corresponding to a reversal of aromaticity, typically requires a gross perturbation such as electronic excitation, addition or removal of two electrons, or a dramatic change in the molecular geometry. Here, we use multireference calculations to show how movement along the Kekulé vibration, which controls bond-length alternation, induces a sudden reversal in the ring current of cyclo[16]carbon, C16. This reversal occurs when the two orthogonal π systems of C16 sustain opposing currents. These results are rationalized by a Hückel model which includes bond-length alternation, and which is combined with a minimal model accounting for orbital contributions to the ring current. Finally, we successfully describe the electronic structure of C16 with a "divide-and-conquer" approach suitable for execution on a quantum computer.
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Affiliation(s)
- Igor Rončević
- Department
of Chemistry, Oxford University, Chemistry
Research Laboratory, Oxford OX1 3TA, United
Kingdom
| | - Freddie J. Leslie
- Department
of Chemistry, Oxford University, Chemistry
Research Laboratory, Oxford OX1 3TA, United
Kingdom
| | - Max Rossmannek
- IBM
Research Europe − Zurich, Säumerstrasse 4, Rüschlikon 8803, Switzerland
| | - Ivano Tavernelli
- IBM
Research Europe − Zurich, Säumerstrasse 4, Rüschlikon 8803, Switzerland
| | - Leo Gross
- IBM
Research Europe − Zurich, Säumerstrasse 4, Rüschlikon 8803, Switzerland
| | - Harry L. Anderson
- Department
of Chemistry, Oxford University, Chemistry
Research Laboratory, Oxford OX1 3TA, United
Kingdom
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5
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Zhang M, Yuan RN, Wu YB, Chen Q, Wei Z, Li SD. [Cs©C 18] + and [Na©C 14] +: perfect planar alkaline-metal-centered polyynic cyclo[ n]carbon complexes with record coordination numbers. RSC Adv 2023; 13:23984-23990. [PMID: 37577084 PMCID: PMC10413334 DOI: 10.1039/d3ra03930g] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2023] [Accepted: 08/04/2023] [Indexed: 08/15/2023] Open
Abstract
Searching for the maximum coordination number (CN) in planar species with novel bonding patterns has fascinated chemists for many years. Using the experimentally observed polyynic cyclo[18]carbon D9h C18 and theoretically predicted polyynic cyclo[14]carbon D7h C14 as effective ligands and based on extensive first-principles theory calculations, we predict herein their perfect planar alkaline-metal-centered complexes D9h Cs©C18+ (1) and D7h Na©C14+ (4) which as the global minima of the systems possess the record coordination numbers of CN = 18 and 14 in planar polyynic species, respectively. More interestingly, detailed energy decomposition and adaptive natural density partitioning bonding analyses indicate that the hypercoordinate alkaline-metal centers in these complexes exhibit obvious transition metal behaviors, with effective in-plane (π-6s)σ, (π-7p)σ, and (π-5d)σ coordination bonds formed in Cs©C18+ (1) and (π-3s)σ, (π-3p)σ, and (π-3d)σ coordination interactions fabricated in Na©C14+ (4) to dominate the overall attractive interactions between the metal center and its cyclo[n]carbon ligand. Similarly, alkaline-metal-centered planar Cs Cs©C17B (2), C2v Cs©C17- (3), C2v Na©C13B (5), and C2v Na©C13- (6) have also been obtained with CN = 18, 17, 14, and 13, respectively.
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Barik S, Behera NR, Dutta S, Kushawaha RK, Sajeev Y, Ramabhadran RO, Aravind G. Molecular growth of PANH via intermolecular Coulombic decay. SCIENCE ADVANCES 2023; 9:eadi0230. [PMID: 37494436 PMCID: PMC10371028 DOI: 10.1126/sciadv.adi0230] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/30/2023] [Accepted: 06/22/2023] [Indexed: 07/28/2023]
Abstract
Nitrogen-bearing polycyclic aromatic hydrocarbons (PANHs) are ubiquitous in space. They are considered precursors to advanced biomolecules identified in meteorites. However, their chemical evolution into biomolecules in photodestructive astrophysical mediums remains a paradox. Here, we show that light can efficiently initiate the molecular mass growth of PANHs. Ultraviolet-photoexcited quinoline monomers, the smallest PANH, were observed to associate and intermolecular Coulombic decay between the associating monomers formed the cations of quinoline-dimer. Molecular rearrangements in the dimer cation lead to a dominant formation of cations heavier than quinoline. The enrichment of these heavier cations over all the other cations reveals the efficiency of this route for the mass growth of PANHs in space. This mechanism also leads to a highly reactive unsaturated PANH-ring via CH loss, a hitherto unknown channel in any photon-driven process. The occurrence of this efficient pathway toward complex molecules points to a rich chemistry in dense interstellar clouds.
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Affiliation(s)
- Saroj Barik
- Department of Physics, Indian Institute of Technology Madras, Chennai, India
| | - Nihar Ranjan Behera
- Department of Physics, Indian Institute of Technology Madras, Chennai, India
| | - Saurav Dutta
- Department of Physics, Indian Institute of Technology Madras, Chennai, India
| | | | - Y Sajeev
- Theoretical Chemistry Section, Bhabha Atomic Research Centre, Mumbai, India
| | | | - G Aravind
- Department of Physics, Indian Institute of Technology Madras, Chennai, India
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7
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Hou SJ, Yang YF, Cui ZH, Cederbaum LS. Can anions possess bound doubly-excited electronic states? Chem Sci 2023; 14:7230-7236. [PMID: 37416703 PMCID: PMC10321500 DOI: 10.1039/d3sc00370a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/21/2023] [Accepted: 05/27/2023] [Indexed: 07/08/2023] Open
Abstract
Anions play an important role in many fields of chemistry. Many molecules possess stable anions, but these anions often do not have stable electronic excited states and the anion loses its excess electron once excited. All the known stable valence excited states of anions are singly-excited states, i.e., valence doubly-excited states have not been reported. As excited states are relevant for numerous applications, and constitute basic properties, we searched for valence doubly-excited states which are stable, i.e., exhibit energies below that of the ground state of the respective neutral molecule. We concentrated on two promising prototype candidates, the anions of the smallest endocircular carbon ring Li@C12 and of the smallest endohedral fullerene Li@C20. By employing accurate state-of-the-art many-electron quantum chemistry methods, we investigated the low-lying excited states of these anions and found that they possess several low-lying stable singly-excited states and, in particular, a stable doubly-excited state each. It is noteworthy that the found doubly-excited state of Li@C12- possesses a cumulenic carbon ring in sharp contrast to the ground and singly-excited states. The findings shed light on how to design anions with stable valence singly- and doubly-excited states. Possible applications are mentioned.
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Affiliation(s)
- Shi-Jie Hou
- Institute of Atomic and Molecular Physics, Jilin University Changchun 130023 China
| | - Yi-Fan Yang
- Quantum Theory Project, Departments of Physics and Chemistry, University of Florida Gainesville Florida 32611 USA
| | - Zhong-Hua Cui
- Institute of Atomic and Molecular Physics, Jilin University Changchun 130023 China
| | - Lorenz S Cederbaum
- Theoretical Chemistry, Institute of Physical Chemistry, Universität Heidelberg Im Neuenheimer Feld 229 D-69120 Heidelberg Germany
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8
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Zhang Y, Zhao W, Lu J, Zhang Y, Zhang H, Li X. First-Principles Studies of the Caged Germanium Clusters with Gold Doping and Their Adsorption on Graphdiyne Nanosheets. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.120968] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/03/2022]
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9
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Intermolecular interactions between cyclo[18]carbon and XCN (X = H, F, Cl, Br, I): a theoretical study. J Mol Model 2022; 28:210. [PMID: 35789296 DOI: 10.1007/s00894-022-05205-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/18/2022] [Accepted: 06/27/2022] [Indexed: 10/17/2022]
Abstract
In this article, the intermolecular interactions of cyclo[18]carbon with XCN (X = H, F, Cl, Br, I) were investigated in detail by quantum chemistry calculations and wavefunction analyses. The electrostatic potential and van der Waals potential of cyclo[18]carbon were examined, then the structures of the complexes, the interaction energies of the intermolecular interactions were studied. Quantum theory of atoms in molecules analysis was performed to help understand the specific interactions. The XCN molecules can insert into the cyclo[18]carbon ring, and ClCN, BrCN, and ICN could also bind with cyclo[18]carbon from outside. Charge transfer in the inner complex is more prominent than that of the outer complex. Plots of electron density difference revealed that electron density shift was significantly different when the X atom changed. The main driving force for molecular binding is dispersion attraction, which is disclosed by interaction region indicator analysis and energy decomposition calculations.
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10
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Storing and Releasing Mg by C12 Carbon Ring. Chem Phys Lett 2022. [DOI: 10.1016/j.cplett.2022.139554] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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11
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12
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Wang X, Liu Z, Yan X, Lu T, Zheng W, Xiong W. Bonding Character, Electron Delocalization, and Aromaticity of Cyclo[18]Carbon (C 18 ) Precursors, C 18 -(CO) n (n=6, 4, and 2): Focusing on the Effect of Carbonyl (-CO) Groups. Chemistry 2021; 28:e202103815. [PMID: 34897864 DOI: 10.1002/chem.202103815] [Citation(s) in RCA: 18] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/22/2021] [Indexed: 12/29/2022]
Abstract
The bonding character, electron delocalization, and aromaticity of the cyclo[18]carbon (C18 ) precursors, C18 -(CO)n (n=6, 4, and 2), have been studied by combining quantum chemical calculations and various electronic wavefunction analyses with different physical bases. It was found that C18 -(CO)n (n=6, 4, and 2) molecules exhibit alternating long and short C-C bonds, and have out-of-plane and in-plane dual π systems (πout and πin ) perpendicular to each other, which are consistent with the relevant characteristics of C18 . However, the presence of carbonyl (-CO) groups significantly reduced the global electron conjugation of C18 -(CO)n (n=6, 4, and 2) compared to C18 . Specifically, the -CO group largely breaks the extensive delocalization of πin system, and the πout system is also affected by it but to a much lesser extent; as a consequence, C18 -(CO)n (n=6, 4, and 2) with larger n shows weaker overall aromaticity. Mostly because of the decreased but still apparent πout electron delocalization in the C18 -(CO)n (n=6, 4, and 2), a notable diatropic induced ring current under the action of external magnetic field is observed, demonstrating the clear aromatic characteristic in the molecules. The correlation between C18 -(CO)n (n=6, 4, and 2) and C18 in terms of the gradual elimination of -CO from the precursors showed that the direct elimination of two CO molecules in C18 -(CO)n (n=6, 4, and 2) has a synergistic mechanism, but it is kinetically infeasible under normal conditions due to the high energy barrier.
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Affiliation(s)
- Xia Wang
- School of Environmental and Chemical Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212100, P. R. China
| | - Zeyu Liu
- School of Environmental and Chemical Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212100, P. R. China
| | - Xiufen Yan
- School of Environmental and Chemical Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212100, P. R. China
| | - Tian Lu
- Beijing Kein Research Center for Natural Sciences, Beijing, 100022, P. R. China
| | - Wenlong Zheng
- School of Environmental and Chemical Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212100, P. R. China
| | - Weiwei Xiong
- School of Environmental and Chemical Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212100, P. R. China
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13
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Lu XQ, Lu HG, Li SD. Metal-centered monocyclic carbon wheel clusters with record coordination numbers in planar species. RSC Adv 2021; 11:27193-27198. [PMID: 35480672 PMCID: PMC9037730 DOI: 10.1039/d1ra05367a] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/12/2021] [Accepted: 08/03/2021] [Indexed: 01/10/2023] Open
Abstract
The highest coordination number identified to date in planar species is CN = 10 in metal-centered monocyclic boron wheel clusters D10h M©B10− (M = Ta and Nb) (Galeev et. al., Angew. Chem. Int. Ed., 2012, 51, 2101). Extensive global minimum searches and first-principles theory calculations performed herein indicate that the experimentally observed LaC13+ and LaC14+ possess the well-defined global minima of perfect metal-centered monocyclic carbon wheel D13h La©C13+ (1) and slightly off-centered C2v La©C14+ (4) (1A1) with record coordination numbers of CN = 13 and 11 in planar structures, respectively, further pushing the boundary of our understanding of chemical structures and bonding. Detailed molecular orbital, nucleus-independent chemical shift, and ring current analyses indicate that D13h La©C13+ (1) is σ + π dually aromatic in nature, with 14 totally delocalized in-plane σ electrons and 14 totally delocalized out-of-plane π electrons each matching the 4N + 2 aromatic rule (Nσ = Nπ = 3). Similar σ + π dually aromatic metal-centered monocyclic wheel clusters D13h Ca©C13 (2), C13v Ac©C13+ (3), C2v Y©B6C6+ (5), and C2v Sc©B5C6 (6) have also been obtained with CN = 13, 13, 12, and 11, respectively. The results obtained in this work effectively enrich the chemical structures and bonding patterns of planar hypercoordinated complexes. First-principle theory calculations reveal record coordination numbers of CN = 13 in D13h La©C13+, CN = 12 in C2v Y©B6C6+, and CN = 11 in C2v Sc©B5C6 in planar species, effectively enriching the chemical structures and bonding patterns of planar hypercoordinated complexes.![]()
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Affiliation(s)
- Xiao-Qin Lu
- Nanocluster Laboratory, Institute of Molecular Science, Shanxi University Taiyuan 030006 China
| | - Hai-Gang Lu
- Nanocluster Laboratory, Institute of Molecular Science, Shanxi University Taiyuan 030006 China
| | - Si-Dian Li
- Nanocluster Laboratory, Institute of Molecular Science, Shanxi University Taiyuan 030006 China
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14
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Fowler PW, Havenith RWA. Periodoannulenes: A Generalized Annulene-within-an-Annulene Paradigm for Combined σ and π Ring Currents. J Phys Chem A 2021; 125:6374-6383. [PMID: 34279938 DOI: 10.1021/acs.jpca.1c03170] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Abstract
Periodoannulene molecules and ions CxIxq in planar geometry offer examples of systems with the potential for outer σ and inner π ring-current double aromaticity, given a sufficient overlap of tangential pσ-orbital manifolds on the large atoms of the outer cycle. Previous theoretical work indicated concentric diatropic currents in the dication C6I62+. Ab initio ipsocentric calculations support an account in terms of frontier-orbital selection rules for current contributions in C6I62+ (and radical C6I6+, implicated in recent experimental work on the oxidation of periodobenzene). A σ/π analogue of the annulene-within-an-annulene model is applied here to periodo systems based on cyclooctatetraene. Model species C8I8q with charges q = 0, +1, +2, +4, -2 and structures constrained to a planar D4h symmetry exhibit maps with all combinations of σ/π con- and counter-rotation, comprising global σ ring currents on the iodine perimeter and central π ring currents on the carbocycle. All can be rationalized by the separate application of the tropicity selection rules to the two subsystems, whether in singlet or triplet states.
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Affiliation(s)
- Patrick W Fowler
- Department of Chemistry, University of Sheffield, Sheffield S3 7HF, U.K
| | - Remco W A Havenith
- Stratingh Institute for Chemistry and Zernike Institute for Advanced Materials, Rijksuniversiteit Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands.,Ghent Quantum Chemistry Group, Department of Chemistry, Ghent University, Krijgslaan 281 (S3), B-9000 Gent, Belgium
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