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Liu FL, Guo JC. Ternary CE 2Ba 2 (E = As, Sb) Clusters: New Pentaatomic Planar Tetracoordinate Carbon Species with 18 Valence Electrons. J Mol Model 2022; 28:230. [PMID: 35881274 DOI: 10.1007/s00894-022-05229-1] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/25/2022] [Accepted: 07/15/2022] [Indexed: 11/30/2022]
Abstract
18-valence-electron (ve) rule is one important guide for us to design planar tetracoordinate carbon (ptC) species. Using the "polarization of ligands" strategy, the new pentaatomic ptC species CE2Ba2 (E = As, Sb) with 18 ve are designed in this work. Computer structural searches and high-level calculations reveal that the ptC CE2Ba2 (E = As, Sb) species are global minima (GMs) on the potential energy surfaces, whose C center is coordinated by the interspaced E and Ba atoms. CE2Ba2 (E = As, Sb) are also kinetically stable. Chemical bonding analyses reveal that the ptC core is stabilized by two localized C-E σ bonds, one delocalized five-center two-electron (5c-2e) σ bond and one delocalized 5c-2e π bond. One π and three σ bonds collectively conform to the 8-electron counting, which determines the stability of ptC CE2Ba2 (E = As, Sb) species. Interestingly, the delocalized 2π and 2σ electrons render the ptC systems π/σ double aromaticity. Additional 10 electrons contribute to peripheral lone pairs of E and E-Ba bonding.
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Affiliation(s)
- Fang-Lin Liu
- Nanocluster Laboratory, Institute of Molecular Science, Shanxi University, Taiyuan, 030006, China
| | - Jin-Chang Guo
- Nanocluster Laboratory, Institute of Molecular Science, Shanxi University, Taiyuan, 030006, China.
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2
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Das P, Khatun M, Anoop A, Chattaraj PK. CSi nGe 4-n2+ ( n = 1-3): prospective systems containing planar tetracoordinate carbon (ptC). Phys Chem Chem Phys 2022; 24:16701-16711. [PMID: 35770562 DOI: 10.1039/d2cp01494g] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Density functional theory (DFT) based calculations have been carried out to explore the potential energy surface (PES) of CSinGe4-n2+/+/0 (n = 1-3) systems. The global minimum structures in the di-cationic states (1a, 1b, and 1c) contain a planar tetracoordinate carbon (ptC). For the CSi2Ge22+ system, the second stable isomer (2b) also contains a ptC with 0.67 kcal mol-1 higher energy than that of the 1b ptC isomer. The global minima of the neutral and mono-cationic states of the designed systems are not planar. The 1a, 1b, and 1c structures follow the 18 valence electron rule. The relative energies of the low-lying isomers of CSiGe32+, CSi2Ge22+, and CSi3Ge2+ systems with respect to the global minima were calculated using the CCSD(T)/aug-cc-pVTZ method. Ab initio molecular dynamics simulations for 50 ps time indicate that all the global minimum structures (1a, 1b, and 1c) are kinetically stable at 300 K and 500 K temperatures. The natural bond orbital (NBO) analysis suggests strong σ-acceptance of the ptC from the four surrounding atoms and simultaneously π-donation occurs from the ptC center. The nucleus independent chemical shift (NICS) showed σ/π-dual aromaticity. We hope that the designed di-cationic systems may be viable in the gas phase.
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Affiliation(s)
- Prasenjit Das
- Department of Chemistry, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
| | - Maya Khatun
- Department of Chemistry, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
| | - Anakuthil Anoop
- Department of Chemistry, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
| | - Pratim Kumar Chattaraj
- Department of Chemistry, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
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Das P, Chattaraj PK. CSiGaAl 2 -/0 and CGeGaAl 2 -/0 having planar tetracoordinate carbon atoms in their global minimum energy structures. J Comput Chem 2022; 43:894-905. [PMID: 35322887 DOI: 10.1002/jcc.26845] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/11/2022] [Revised: 02/20/2022] [Accepted: 03/09/2022] [Indexed: 11/12/2022]
Abstract
Density functional theory (DFT) is used to explore the structure, stability, and bonding in CSiGaAl2 -/0 and CGeGaAl2 -/0 systems having planar tetracoordinate carbon (ptC). The neutral systems have 17 valence electrons and the mono-anionic systems have 18 valence electrons. The ab initio molecular dynamics simulations for 2000 fs time at two different temperatures (300 and 500 K) supported the kinetic stability of the systems. From the natural bond orbital (NBO) analysis it is shown that there is a strong electron donation from the ligand atoms to the ptC atom. We have used Li+ ion for the neutralization of the mono-anionic systems and more interestingly it does not disrupt the planar structure. The most preferable site for binding of Li+ ion is along the AlAl bond in both of the mono-anionic systems. All the systems in this work have both σ and π aromaticity which is predicted from the computations of nucleus independent chemical shift (NICS). Although the anionic species obey the 18 valence electronic rule, the neutral systems break the rule with 17 valence electrons. However, both sets of systems are stable in the planar form. The bonding analysis of the systems includes molecular orbital, adaptive natural density partitioning (AdNDP), quantum theory of atoms in molecules (QTAIM), electron localization function (ELF) basin, and aromaticity analyses. The energy decomposition analysis (EDA) determines the interaction of Li+ ion with CSiGaAl2 - and CGeGaAl2 - in Li@SiGaAl2 and Li@GeGaAl2 , respectively.
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Affiliation(s)
- Prasenjit Das
- Department of Chemistry, Indian Institute of Technology Kharagpur, Kharagpur, India
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In Silico Studies on Selected Neutral Molecules, CGa2Ge2, CAlGaGe2, and CSiGa2Ge Containing Planar Tetracoordinate Carbon. ATOMS 2021. [DOI: 10.3390/atoms9030065] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
Density functional theory (DFT) was used to study the structure, stability, and bonding in some selected neutral pentaatomic systems, viz., CGa2Ge2, CAlGaGe2, and CSiGa2Ge containing planar tetracoordinate carbon. The systems are kinetically stable, as predicted from the ab initio molecular dynamics simulations. The natural bond orbital (NBO) analysis showed that strong electron donation occurs to the central planar carbon atom by the peripheral atoms in all the studied systems. From the nucleus independent chemical shift (NICS) analysis, it is shown that the systems possess both σ- and π- aromaticity. The presence of 18 valence electrons in these systems, in their neutral form, appears to be important for their stability with planar geometries rather than tetrahedral structures. The nature of bonding is understood through the adaptive natural density partitioning analysis (AdNDP), quantum theory of atoms in molecules (QTAIM) analysis, and also via Wiberg bond index (WBI) and electron localization function (ELF).
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Tang M, Zhou K. THEORETICAL STUDY OF THE STRUCTURES AND ELECTRONIC CHARACTERISTICS OF InxO (x = 2, 3) AND In4O0/–1. J STRUCT CHEM+ 2021. [DOI: 10.1134/s0022476621070027] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Zheng HF, Xu J, Ding YH. A sixteen-valence-electron carbon-group 13 family with global penta-atomic planar tetracoordinate carbon: an ionic strategy. Phys Chem Chem Phys 2020; 22:3975-3982. [PMID: 32022042 DOI: 10.1039/c9cp06577f] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The design of planar tetracoordinate carbon (ptC) has always been a challenge due to its unique bonding mode that necessitates the perfect balance between the carbon center and surrounding ligands both electronically and mechanically. A unique type of 18-valence-electron (18ve) template, i.e., CAl42-, has been found to be very effective in designing various novel 18ve-species upon skeletal substitution. In this work, we showed that though ptC is not the global structure for the parent 16ve-CAl4, suitable skeletal substitution can allow for a series of global minimum ptC species. Theoretical calculations at the level of CCSD(T)/def2-QZVP//B3LYP/def2-QZVP for 35 carbon-group 13 systems with 16-ve, i.e., CXaYbZcKd (X, Y, Z, K = Al/Ga/In/Tl; 0 ≤ a, b, c, d ≤ 4, a + b + c + d = 4), showed that 9 systems (CAl3Tl, CGa3Tl, CGa2Tl2, CAl2GaTl, CAl2InTl, CGa2InTl, CAlGa2Tl, CGa2InTl and CAlGaInTl) possess global minimum ptC and 2 systems (CAl3In and CAl2Tl2) have quasi-GM ptC. Except for CAl3Tl and CAl3In, all the ptCs were predicted for the first time. All these stable ptC structures have the same skeleton and can be described as the same ionic sub-structure, i.e., [A-]B+. This study not only enriches 16ve-ptC, but also directly demonstrates that utilizing an ionic strategy, non-ptC CAl4 also can be used as a template to extend the ptC family.
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Affiliation(s)
- Hai-Feng Zheng
- Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun 130023, P. R. China.
| | - Jing Xu
- Department of Optical Engineering Zhejiang A&F University, Lin'an, Zhejiang 311300, P. R. China.
| | - Yi-Hong Ding
- Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun 130023, P. R. China. and Key Laboratory of Carbon Materials of Zhejiang Province, College of Chemistry and Materials Engineering, Wenzhou University, Wenzhou 325035, People's Republic of China.
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Zheng HF, Xu J, Ding YH. Mono-silicon isoelectronic replacement in CAl 4 : van't hoff/le bel carbon or not? J Comput Chem 2020; 41:119-128. [PMID: 31663141 DOI: 10.1002/jcc.26079] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/24/2019] [Revised: 09/09/2019] [Accepted: 09/09/2019] [Indexed: 11/09/2022]
Abstract
In cluster studies, the isoelectronic replacement strategy has been successfully used to introduce new elements into a known structure while maintaining the desired topology. The well-known penta-atomic 18 valence electron (ve) species C Al 4 2 - and its Al- /Si or Al/Si+ isoelectronically replaced clusters CAl3 Si- , CAl2 Si2 , C AlSi 3 - , and C Si 4 2 + , all possess the same anti-van't Hoff/Le Bel skeletons, that is, nontraditional planar tetracoordinate carbon (ptC) structure. In this article, however, we found that such isoelectronic replacement between Si and Al does not work for the 16ve-CAl4 with the traditional van't Hoff/Le Bel tetrahedral carbon (thC) and its isoelectronic derivatives CAl3 X (X = Ga/In/Tl). At the level of CCSD(T)/def2-QZVP//B3LYP/def2-QZVP, none of the global minima of the 16ve mono-Si-containing clusters CAl2 SiX+ (X = Al/Ga/In/Tl) maintains thC as the parent CAl4 does. Instead, X = Al/Ga globally favors an unusual ptC structure that has one long C─X distance yet with significant bond index value, and X = In/Tl prefers the planar tricoordinate carbon. The frustrated formation of thC in these clusters is ascribed to the CSi bonding that prefers a planar fashion. Inclusion of chloride ion would further stabilize the ptC of CAl2 SiAl+ and CAl2 SiGa+ . The unexpectedly disclosed CAl2 SiAl+ and CAl2 SiGa+ represent the first type of 16ve-cationic ptCs with multiple bonds. © 2019 Wiley Periodicals, Inc.
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Affiliation(s)
- Hai-Feng Zheng
- Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun, 130023, People's Republic of China
| | - Jing Xu
- Department of Optical Engineering, Zhejiang A&F University, Lin'an, Zhejiang, 311300, People's Republic of China
| | - Yi-Hong Ding
- Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun, 130023, People's Republic of China
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Feng W, Zhu C, Liu X, Zhang M, Geng Y, Zhao L, Su Z. A BPt4S4 cluster: a planar tetracoordinate boron system with three charges all at their global energy minima. NEW J CHEM 2020. [DOI: 10.1039/c9nj05456a] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
The monoanion state of BPt4S4− possesses the lowest energy among the three oxidation states with planar tetracoordinate boron.
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Affiliation(s)
- Wei Feng
- Institute of Functional Material Chemistry
- Faculty of Chemistry & National & Local United Engineering Laboratory for Power Battery
- Northeast Normal University
- Changchun 130024
- P. R. China
| | - Changyan Zhu
- Institute of Functional Material Chemistry
- Faculty of Chemistry & National & Local United Engineering Laboratory for Power Battery
- Northeast Normal University
- Changchun 130024
- P. R. China
| | - Xingman Liu
- Institute of Functional Material Chemistry
- Faculty of Chemistry & National & Local United Engineering Laboratory for Power Battery
- Northeast Normal University
- Changchun 130024
- P. R. China
| | - Min Zhang
- Institute of Functional Material Chemistry
- Faculty of Chemistry & National & Local United Engineering Laboratory for Power Battery
- Northeast Normal University
- Changchun 130024
- P. R. China
| | - Yun Geng
- Institute of Functional Material Chemistry
- Faculty of Chemistry & National & Local United Engineering Laboratory for Power Battery
- Northeast Normal University
- Changchun 130024
- P. R. China
| | - Liang Zhao
- Institute of Functional Material Chemistry
- Faculty of Chemistry & National & Local United Engineering Laboratory for Power Battery
- Northeast Normal University
- Changchun 130024
- P. R. China
| | - Zhongmin Su
- Institute of Functional Material Chemistry
- Faculty of Chemistry & National & Local United Engineering Laboratory for Power Battery
- Northeast Normal University
- Changchun 130024
- P. R. China
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Guo JC, Feng LY, Dong C, Zhai HJ. Ternary 12-electron CBe 3X 3+ (X = H, Li, Na, Cu, Ag) clusters: planar tetracoordinate carbons and superalkali cations. Phys Chem Chem Phys 2019; 21:22048-22056. [PMID: 31565718 DOI: 10.1039/c9cp04437j] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023]
Abstract
Molecules with planar tetracoordinate carbons (ptCs) are exotic in chemical bonding, and they are normally designed according to the 18-electron rule. Here we report on the viability of ptC clusters with as few as 12 valence electrons, which represent the lower limit in terms of electron counting. Specifically, we have computationally designed a class of ternary 12-electron ptC clusters, CBe3X3+ (X = H, Li, Na, Cu, Ag), based on a rhombic CBe32- unit. Computer structural searches reveal that the ptC species are global minima, whose C center is coordinated in-plane by three Be atoms and a terminal X atom via robust C-Be/C-X bonding, either covalent or ionic. The other two X atoms are on the periphery and each bridge two Be atoms. Bonding analyses show that the ptC core is governed by delocalized 2π/6σ bonding, that is, double π/σ aromaticity, which collectively conforms to the 8-electron counting. Additional 4 electrons contribute to peripheral Be-X-Be and Be-Be σ bonding. The delocalized 2π/6σ frameworks appear to be universal for all ptC clusters, ranging from 18-electron down to 12-electron systems. In other words, the ptC species are dictated entirely by the 8-electron counting. Predicted vertical electron affinities of these ptC clusters range from 3.13 to 5.48 eV, indicative of superalkali or pseudoalkali cations.
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Affiliation(s)
- Jin-Chang Guo
- Institute of Environmental Science, Center of Environmental Science and Engineering Research, Shanxi University, Taiyuan 030006, China.
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Zhou K, Roy SK, Zhao CB. GaxO (x = 2–4) Contain Novel Linear Dicoordinate, T-shape Tricoordinate and Planar Tetracoordinate Oxygen. RUSS J INORG CHEM+ 2019. [DOI: 10.1134/s0036023619030239] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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11
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Zheng HF, Yu S, Hu TD, Xu J, Ding YH. CAl 3X (X = B/Al/Ga/In/Tl) with 16 valence electrons: can planar tetracoordinate carbon be stable? Phys Chem Chem Phys 2018; 20:26266-26272. [PMID: 30324197 DOI: 10.1039/c8cp04774j] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
As a perpetual chemical curiosity, planar tetracoordinate carbon (ptC) that violates the traditional tetrahedral carbon (thC) has made enormous achievements. In particular, the 18-valence-electron (18ve) counting rule has been found to be very effective in predicting ptC structures, as in CX42- (X = Al/Ga/In/Tl). By contrast, the corresponding neutral CX4 with 16ve each takes the thC form like methane. Herein, we report a mono-substituted neutral 16ve-CAl3X (X = Al/Ga/In/Tl). Our theoretical results showed that the competition between thC and ptC can be well tuned upon variation of X, and for X = In and Tl, the ptC structure becomes isoenergetic to and even more stable than thC, respectively. Thus, a low-lying ptC can be achieved in the 16ve-CAl3X set without acquiring additional electrons. This unintuitive result can be ascribed to the increased energetic preference of the ionic sub-structure [CAl3-]X+ from X = Al to Tl. We thus predict the first penta-atomic ptC species with 16ve, and the ionic strategy presented in this work is expected to promote novel designs of ptC molecules.
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Affiliation(s)
- Hai-Feng Zheng
- Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun 130023, P. R. China.
| | - Shuang Yu
- Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun 130023, P. R. China.
| | - Tian-Ding Hu
- Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun 130023, P. R. China.
| | - Jing Xu
- Department of Chemistry University of California, Irvine, CA 92697, USA.
| | - Yi-Hong Ding
- Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun 130023, P. R. China.
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Tl x O (x = 2–4) contain novel linear di-coordinated, T-shaped tri-coordinated and square-planar tetra-coordinated oxygen. COMPUT THEOR CHEM 2017. [DOI: 10.1016/j.comptc.2017.03.039] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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13
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Guo J, Chai H, Duan Q, Qin J, Shen X, Jiang D, Hou J, Yan B, Li Z, Gu F, Li Q. Planar tetracoordinate carbon species CLi3E with 12-valence-electrons. Phys Chem Chem Phys 2016; 18:4589-93. [PMID: 26796982 DOI: 10.1039/c5cp06081h] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
We exhibit theoretically a series of 12-valence-electron pentaatomic species CLi3E (E = N, P, As, Sb, Bi) and CLi3E(+) (E = O, S, Se, Te, Po). The analyses of potential energy surfaces indicate that the C2v structures with a planar tetracoordinate carbon are the global minimum in these species except for E = N, P. A localized C[double bond, length as m-dash]E double bond is found in the planar tetracoordinate carbon species. The molecular orbitals and the valence populations reveal that the C[double bond, length as m-dash]E double bonds in CLi3E are different from those in CLi3E(+). The thermodynamic and kinetic calculations show that some of the planar tetracoordinate carbon species are stable and are likely to exist in the gas phase.
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Affiliation(s)
- Jiayi Guo
- School of Materials Science and Engineering, Changchun University of Science and Technology, Changchun 130022, People's Republic of China.
| | - Haoyu Chai
- School of Materials Science and Engineering, Changchun University of Science and Technology, Changchun 130022, People's Republic of China.
| | - Qian Duan
- School of Materials Science and Engineering, Changchun University of Science and Technology, Changchun 130022, People's Republic of China.
| | - Jieming Qin
- School of Materials Science and Engineering, Changchun University of Science and Technology, Changchun 130022, People's Republic of China.
| | - Xiande Shen
- School of Materials Science and Engineering, Changchun University of Science and Technology, Changchun 130022, People's Republic of China.
| | - Dayong Jiang
- School of Materials Science and Engineering, Changchun University of Science and Technology, Changchun 130022, People's Republic of China.
| | - Jianhua Hou
- School of Materials Science and Engineering, Changchun University of Science and Technology, Changchun 130022, People's Republic of China.
| | - Bing Yan
- Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, People's Republic of China
| | - Zhiru Li
- Institute of Theoretical Chemistry, Jilin University, Changchun 130012, People's Republic of China
| | - Fenglong Gu
- Center for Computational Quantum Chemistry, South China Normal University, Guangzhou 510631, People's Republic of China.
| | - Qianshu Li
- Center for Computational Quantum Chemistry, South China Normal University, Guangzhou 510631, People's Republic of China.
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Yang LM, Ganz E, Chen Z, Wang ZX, Schleyer PVR. Vier Jahrzehnte Chemie der planar hyperkoordinierten Verbindungen. Angew Chem Int Ed Engl 2015. [DOI: 10.1002/ange.201410407] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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15
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Yang LM, Ganz E, Chen Z, Wang ZX, Schleyer PVR. Four Decades of the Chemistry of Planar Hypercoordinate Compounds. Angew Chem Int Ed Engl 2015; 54:9468-501. [DOI: 10.1002/anie.201410407] [Citation(s) in RCA: 165] [Impact Index Per Article: 18.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/23/2014] [Indexed: 11/09/2022]
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16
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Min ST, Zhou K, Xue GL. Density functional theory on the pentaatomic planar tetracoordinate carbon molecules CGa3Ge and [CGa3Ge]−. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A 2014. [DOI: 10.1134/s0036024414050185] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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