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Li K, Ma T, Hu J, Gu Q, Xin Y, He J, Peng YK, Xu Z. Self-Similar Ligand for 2D Zr(IV)-Based Metal-Organic Frameworks: Fluorescent Sensing and Catalysis. Inorg Chem 2024; 63:23894-23906. [PMID: 39636016 DOI: 10.1021/acs.inorgchem.4c04177] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/07/2024]
Abstract
Two-dimensional (2D) metal-organic framework sheets, in comparison to the 3D analogues, offer potential advantages for intercalation of guest components between the layers, exfoliation/dispersion into solutions, and processing into thin films. As a versatile platform for leveraging organic functions, the 2D Zr(IV)-carboxylate net here features a dendritic Sierpinski tritopic linker with conjugated alkyne branches and a photoactive triphenylamine core. The 2D solid can be easily dispersed in water and many other solvents, resulting in stable and fluorescent suspension for sensing nitro aromatic compounds and Fe3+ ions with high quenching efficiencies and ultralow limits of detection. Also, the neighboring alkyne units of the coordination solid undergo thermal cyclization (e.g., at 320 °C) to form cross-linked nanographene-like components to afford robust porosity, which substantially takes up PdCl2 (atomic ratio of Zr/Pd, 2.4:1) to afford a heterogeneous catalyst for Suzuki-Miyaura coupling reactions─direct in air and without the need for phosphine ligands.
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Affiliation(s)
- Kedi Li
- Department of Chemistry, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China
| | - Tengrui Ma
- Department of Chemistry, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China
| | - Jieying Hu
- School of Chemical Engineering and Light Industry, Guangdong University of Technology, Guangzhou 510006 Guangdong, China
| | - Qianfeng Gu
- Department of Materials Science and Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China
| | - Yinger Xin
- Department of Chemistry, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China
| | - Jun He
- School of Chemical Engineering and Light Industry, Guangdong University of Technology, Guangzhou 510006 Guangdong, China
| | - Yung-Kang Peng
- Department of Chemistry, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China
| | - Zhengtao Xu
- Institute of Materials Research and Engineering (IMRE), Agency of Science, Technology and Research (A*STAR), 2 Fusionopolis Way, Singapore 138634, Republic of Singapore
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2
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Sendker FL, Lo YK, Heimerl T, Bohn S, Persson LJ, Mais CN, Sadowska W, Paczia N, Nußbaum E, Del Carmen Sánchez Olmos M, Forchhammer K, Schindler D, Erb TJ, Benesch JLP, Marklund EG, Bange G, Schuller JM, Hochberg GKA. Emergence of fractal geometries in the evolution of a metabolic enzyme. Nature 2024; 628:894-900. [PMID: 38600380 PMCID: PMC11041685 DOI: 10.1038/s41586-024-07287-2] [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: 04/20/2023] [Accepted: 03/08/2024] [Indexed: 04/12/2024]
Abstract
Fractals are patterns that are self-similar across multiple length-scales1. Macroscopic fractals are common in nature2-4; however, so far, molecular assembly into fractals is restricted to synthetic systems5-12. Here we report the discovery of a natural protein, citrate synthase from the cyanobacterium Synechococcus elongatus, which self-assembles into Sierpiński triangles. Using cryo-electron microscopy, we reveal how the fractal assembles from a hexameric building block. Although different stimuli modulate the formation of fractal complexes and these complexes can regulate the enzymatic activity of citrate synthase in vitro, the fractal may not serve a physiological function in vivo. We use ancestral sequence reconstruction to retrace how the citrate synthase fractal evolved from non-fractal precursors, and the results suggest it may have emerged as a harmless evolutionary accident. Our findings expand the space of possible protein complexes and demonstrate that intricate and regulatable assemblies can evolve in a single substitution.
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Affiliation(s)
- Franziska L Sendker
- Evolutionary Biochemistry Group, Max Planck Institute for Terrestrial Microbiology, Marburg, Germany
| | - Yat Kei Lo
- Center for Synthetic Microbiology (SYNMIKRO), Philipps-University Marburg, Marburg, Germany
| | - Thomas Heimerl
- Center for Synthetic Microbiology (SYNMIKRO), Philipps-University Marburg, Marburg, Germany
| | - Stefan Bohn
- Cryo-EM Platform and Institute of Structural Biology, Helmholtz Munich, Neuherberg, Germany
| | - Louise J Persson
- Department of Chemistry - BMC, Uppsala University, Uppsala, Sweden
| | | | - Wiktoria Sadowska
- Department of Chemistry, University of Oxford, Oxford, UK
- Kavli Institute for Nanoscience Discovery, Oxford, UK
| | - Nicole Paczia
- Department of Biochemistry and Synthetic Metabolism, Max Planck Institute for Terrestrial Microbiology, Marburg, Germany
| | - Eva Nußbaum
- Interfaculty Institute of Microbiology and Infection Medicine, Organismic Interactions Department, Cluster of Excellence 'Controlling Microbes to Fight Infections', Tübingen University, Tübingen, Germany
| | | | - Karl Forchhammer
- Interfaculty Institute of Microbiology and Infection Medicine, Organismic Interactions Department, Cluster of Excellence 'Controlling Microbes to Fight Infections', Tübingen University, Tübingen, Germany
| | - Daniel Schindler
- Center for Synthetic Microbiology (SYNMIKRO), Philipps-University Marburg, Marburg, Germany
- MaxGENESYS Biofoundry, Max Planck Institute for Terrestrial Microbiology, Marburg, Germany
| | - Tobias J Erb
- Center for Synthetic Microbiology (SYNMIKRO), Philipps-University Marburg, Marburg, Germany
- Department of Biochemistry and Synthetic Metabolism, Max Planck Institute for Terrestrial Microbiology, Marburg, Germany
- Department of Biology, Philipps-University Marburg, Marburg, Germany
| | - Justin L P Benesch
- Department of Chemistry, University of Oxford, Oxford, UK
- Kavli Institute for Nanoscience Discovery, Oxford, UK
| | - Erik G Marklund
- Department of Chemistry - BMC, Uppsala University, Uppsala, Sweden
| | - Gert Bange
- Center for Synthetic Microbiology (SYNMIKRO), Philipps-University Marburg, Marburg, Germany
- Department of Chemistry, Philipps-University Marburg, Marburg, Germany
- Max Planck Fellow Group Molecular Physiology of Microbes, Max Planck Institute for Terrestrial Microbiology, Marburg, Germany
| | - Jan M Schuller
- Center for Synthetic Microbiology (SYNMIKRO), Philipps-University Marburg, Marburg, Germany.
- Department of Chemistry, Philipps-University Marburg, Marburg, Germany.
| | - Georg K A Hochberg
- Evolutionary Biochemistry Group, Max Planck Institute for Terrestrial Microbiology, Marburg, Germany.
- Center for Synthetic Microbiology (SYNMIKRO), Philipps-University Marburg, Marburg, Germany.
- Department of Chemistry, Philipps-University Marburg, Marburg, Germany.
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3
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Abe T, Sanada N, Takeuchi K, Okazawa A, Hiraoka S. Assembly of Six Types of Heteroleptic Pd 2L 4 Cages under Kinetic Control. J Am Chem Soc 2023; 145:28061-28074. [PMID: 38096127 PMCID: PMC10755705 DOI: 10.1021/jacs.3c09359] [Citation(s) in RCA: 10] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/28/2023] [Revised: 11/20/2023] [Accepted: 12/01/2023] [Indexed: 12/28/2023]
Abstract
Heteroleptic assemblies composed of several kinds of building blocks have been seen in nature. It is still unclear how natural systems design and create such complicated assemblies selectively. Past efforts on multicomponent self-assembly of artificial metal-organic cages have mainly focused on finding a suitable combination of building blocks to lead to a single multicomponent self-assembly as the thermodynamically most stable product. Here, we present another approach to selectively produce multicomponent Pd(II)-based self-assemblies under kinetic control based on the selective ligand exchanges of weak Pd-L coordination bonds retaining the original orientation of the metal centers in a kinetically stabilized cyclic structure and on local reversibility given in certain areas of the energy landscape in the presence of the assist molecule that facilitates error correction of coordination bonds. The kinetic approach enabled us to build all six types of Pd2L4 cages and heteroleptic tetranuclear cages composed of three kinds of ditopic ligands. Although the cage complexes thus obtained are metastable, they are stable for 1 month or more at room temperature.
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Affiliation(s)
- Tsukasa Abe
- Department
of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Tokyo 153-8902, Japan
| | - Naoki Sanada
- Department
of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Tokyo 153-8902, Japan
| | - Keisuke Takeuchi
- Department
of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Tokyo 153-8902, Japan
| | - Atsushi Okazawa
- Department
of Electrical Engineering and Bioscience, Waseda University, Tokyo 169-8555, Japan
| | - Shuichi Hiraoka
- Department
of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Tokyo 153-8902, Japan
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4
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Matienko LI, Mil EM, Albantova AA, Goloshchapov AN. The Role H-Bonding and Supramolecular Structures in Homogeneous and Enzymatic Catalysis. Int J Mol Sci 2023; 24:16874. [PMID: 38069195 PMCID: PMC10707003 DOI: 10.3390/ijms242316874] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2023] [Revised: 11/22/2023] [Accepted: 11/23/2023] [Indexed: 12/18/2023] Open
Abstract
The article analyzes the role of hydrogen bonds and supramolecular structures in enzyme catalysis and model systems. Hydrogen bonds play a crucial role in many enzymatic reactions. However, scientists have only recently attempted to harness the power of hydrogen bonds in homogeneous catalytic systems. One of the newest directions is associated with attempts to control the properties of catalysts by influencing the "second coordination sphere" of metal complexes. The role H-bonding, and the building of stable supramolecular nanostructures due to intermolecular H-bonds, based on catalytic active heteroligand iron (Fe) or nickel (Ni) complexes formed during hydrocarbon oxidations were assessed via the AFM (Atomic-force microscopy) method, which was proposed and applied by authors of this manuscript. Th is article also discusses the roles of hydrogen bonds and supramolecular structures in oxidation reactions catalyzed by heteroligand Ni and Fe complexes, which are not only effective homogeneous catalysts but also structural and functional models of Oxygenases.
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Affiliation(s)
- Ludmila I. Matienko
- N.M. Emanuel Institution of Biochemical Physics Russian Academy of Science, 4 Kosygin Str., 119334 Moscow, Russia; (E.M.M.); (A.A.A.); (A.N.G.)
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5
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Remarkably flexible 2,2′:6′,2″-terpyridines and their group 8–10 transition metal complexes – Chemistry and applications. Coord Chem Rev 2022. [DOI: 10.1016/j.ccr.2022.214426] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
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6
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Hashimoto R, Hanaya K, Sugai T, Higashibayashi S. 1,2-Rearrangement from o-Quinols to Multisubstituted Catechols via Retro Diels-Alder Reaction of o-Quinol Dimers. BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN 2022. [DOI: 10.1246/bcsj.20220025] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
Affiliation(s)
- Riichi Hashimoto
- Faculty of Pharmacy, Keio University, 1-5-30 Shibakoen, Minato-ku, Tokyo 105-8512, Japan
| | - Kengo Hanaya
- Faculty of Pharmacy, Keio University, 1-5-30 Shibakoen, Minato-ku, Tokyo 105-8512, Japan
| | - Takeshi Sugai
- Faculty of Pharmacy, Keio University, 1-5-30 Shibakoen, Minato-ku, Tokyo 105-8512, Japan
| | - Shuhei Higashibayashi
- Faculty of Pharmacy, Keio University, 1-5-30 Shibakoen, Minato-ku, Tokyo 105-8512, Japan
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7
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Bätz T, Enke M, Zechel S, Hager MD, Schubert US. Selective Metal‐Complexation on Polymeric Templates and Their Investigation via Isothermal Titration Calorimetry. MACROMOL CHEM PHYS 2021. [DOI: 10.1002/macp.202100295] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Thomas Bätz
- Laboratory of Organic and Macromolecular Chemistry (IOMC) Friedrich Schiller University Jena Humboldtstr. 10 Jena 07743 Germany
- Jena Center for Soft Matter (JCSM) Friedrich Schiller University Jena Philosophenweg 7 Jena 07743 Germany
| | - Marcel Enke
- Laboratory of Organic and Macromolecular Chemistry (IOMC) Friedrich Schiller University Jena Humboldtstr. 10 Jena 07743 Germany
- Jena Center for Soft Matter (JCSM) Friedrich Schiller University Jena Philosophenweg 7 Jena 07743 Germany
| | - Stefan Zechel
- Laboratory of Organic and Macromolecular Chemistry (IOMC) Friedrich Schiller University Jena Humboldtstr. 10 Jena 07743 Germany
- Jena Center for Soft Matter (JCSM) Friedrich Schiller University Jena Philosophenweg 7 Jena 07743 Germany
| | - Martin D. Hager
- Laboratory of Organic and Macromolecular Chemistry (IOMC) Friedrich Schiller University Jena Humboldtstr. 10 Jena 07743 Germany
- Jena Center for Soft Matter (JCSM) Friedrich Schiller University Jena Philosophenweg 7 Jena 07743 Germany
| | - Ulrich S. Schubert
- Laboratory of Organic and Macromolecular Chemistry (IOMC) Friedrich Schiller University Jena Humboldtstr. 10 Jena 07743 Germany
- Jena Center for Soft Matter (JCSM) Friedrich Schiller University Jena Philosophenweg 7 Jena 07743 Germany
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8
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Guo MY, Li G, Yang SL, Bu R, Piao XQ, Gao EQ. Metal-Organic Frameworks with Novel Catenane-like Interlocking: Metal-Determined Photoresponse and Uranyl Sensing. Chemistry 2021; 27:16415-16421. [PMID: 34599532 DOI: 10.1002/chem.202102413] [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: 07/05/2021] [Indexed: 12/20/2022]
Abstract
The assembly of two tripyridinium-tricarboxylate ligands and different metal ions leads to seven isostructural MOFs, which show novel 2D→2D supramolecular entanglement featuring catenane-like interlocking of tricyclic cages. The MOFs show tripyridinium-afforded and metal-modulated photoresponsive properties. The MOFs with d10 metal centers (1-Cd, 1-Zn, 2-Cd, 2-Zn) show fast and reversible photochromism and concomitant fluorescence quenching, 1-Ni displays slower photochromism but does not fluoresce, and 1-Co and 2-Co are neither photochromic nor fluorescent. It is shown here that the network entanglement dictates donor-acceptor close contacts, which enable fluorescence originated from interligand charge transfer. The contacts also allow photoinduced electron transfer, which underlies photochromism and concomitant fluorescence response. The metal dependence in fluorescence and photochromism can be related to energy transfer through metal-centered d-d transitions. In addition, 1-Cd is demonstrated to be a potential fluorescence sensor for sensitive and selective detection of UO2 2+ in water.
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Affiliation(s)
- Meng-Yue Guo
- Shanghai Key Laboratory of Green Chemistry and Chemical Processes, School of Chemistry and Molecular Engineering, East China Normal University, 3663 North Zhongshan Road, Shanghai, 200062, P. R. China
- Engineering Research Center for Nanophotonics and Advanced Instrument, School of Physics and Electronic Science, East China Normal University, 3663 North Zhongshan Road, Shanghai, 200062, P. R. China
| | - Gen Li
- Shanghai Key Laboratory of Green Chemistry and Chemical Processes, School of Chemistry and Molecular Engineering, East China Normal University, 3663 North Zhongshan Road, Shanghai, 200062, P. R. China
| | - Shuai-Liang Yang
- Shanghai Key Laboratory of Green Chemistry and Chemical Processes, School of Chemistry and Molecular Engineering, East China Normal University, 3663 North Zhongshan Road, Shanghai, 200062, P. R. China
| | - Ran Bu
- Shanghai Key Laboratory of Green Chemistry and Chemical Processes, School of Chemistry and Molecular Engineering, East China Normal University, 3663 North Zhongshan Road, Shanghai, 200062, P. R. China
| | - Xian-Qing Piao
- Engineering Research Center for Nanophotonics and Advanced Instrument, School of Physics and Electronic Science, East China Normal University, 3663 North Zhongshan Road, Shanghai, 200062, P. R. China
| | - En-Qing Gao
- Shanghai Key Laboratory of Green Chemistry and Chemical Processes, School of Chemistry and Molecular Engineering, East China Normal University, 3663 North Zhongshan Road, Shanghai, 200062, P. R. China
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9
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Abstract
Earlier, we established that nickel or iron heteroligand complexes, which include PhOH (nickel complexes) or tyrosine residue (nickel or iron complexes), are not only hydrocarbon oxidation catalysts (in the case of PhOH), but also simulate the active centers of enzymes (PhOH, tyrosine). The AFM method established the self-organization of nickel or iron heteroligand complexes, which included tyrosine residue or PhOH, into supramolecular structures on a modified silicon surface. Supramolecular structures were formed as a result of H-bonds and other non-covalent intermolecular interactions and, to a certain extent, reflected the structures involved in the mechanisms of reactions of homogeneous and enzymatic catalysis. Using the AFM method, we obtained evidence at the model level in favor of the involvement of the tyrosine fragment as one of the possible regulatory factors in the functioning of Ni(Fe)ARD dioxygenases or monooxygenases of the family of cytochrome P450. The principles of actions of these oxygenases were used to create highly efficient catalytic systems for the oxidation of hydrocarbons.
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10
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Wang Y, Chen L, Liu T, Chao D. Coordination-driven discrete metallo-supramolecular assembly for rapid and selective photochemical CO 2 reduction in aqueous solution. Dalton Trans 2021; 50:6273-6280. [PMID: 33876807 DOI: 10.1039/d1dt00692d] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Abstract
A discrete metallo-supramolecular assembly composed of six iron(ii) cations and twelve redox-active terpyridine fragments has been developed for the highly efficient visible-light-driven reduction of CO2 to CO with a TON of 14 956 and 99.6% selectivity in the presence of an organic thermally activated delayed fluorescence (TADF) photosensitizer 4CzIPN in aqueous solution. The photochemical system proceeds rapidly with a turnover frequency (TOF) of 276 min-1. It is demonstrated that the redox-active terpyridine fragments in the assembly are reduced by the photosensitizer which could further act as an electron reservoir for CO2 reduction, resulting in the highly efficient reduction of CO2. This work shows that discrete metallo-supramolecular assemblies could be used for robust photochemical CO2 reduction.
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Affiliation(s)
- Yanan Wang
- School of Materials Science and Chemical Engineering, Ningbo University, Ningbo, Zhejiang 315211, China.
| | - Longxin Chen
- School of Materials Science and Chemical Engineering, Ningbo University, Ningbo, Zhejiang 315211, China.
| | - Ting Liu
- School of Materials Science and Chemical Engineering, Ningbo University, Ningbo, Zhejiang 315211, China.
| | - Duobin Chao
- School of Materials Science and Chemical Engineering, Ningbo University, Ningbo, Zhejiang 315211, China.
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11
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Wang Y, Liu T, Chen L, Chao D. Water-Assisted Highly Efficient Photocatalytic Reduction of CO 2 to CO with Noble Metal-Free Bis(terpyridine)iron(II) Complexes and an Organic Photosensitizer. Inorg Chem 2021; 60:5590-5597. [PMID: 33615787 DOI: 10.1021/acs.inorgchem.0c03503] [Citation(s) in RCA: 26] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Photocatalytic CO2 reduction reaction is believed to be a promising approach for CO2 utilization. In this work, a noble metal-free photocatalytic system, composed of bis(terpyridine)iron(II) complexes and an organic thermally activated delayed fluorescence compound, has been developed for selective reduction of CO2 to CO with a maximum turnover number up to 6320, 99.4% selectivity, and turnover frequency of 127 min-1 under visible-light irradiation in dimethylformamide/H2O solution. More than 0.3 mmol CO was generated using 0.05 μmol catalyst after 2 h of light irradiation. The apparent quantum yield was found to be 9.5% at 440 nm (180 mW cm-2). Control experiments and UV-vis-NIR spectroscopy studies further demonstrated that water strongly promoted the photocatalytic cycle and terpyridine ligands rather than Fe(II) were initially reduced during the photocatalytic process.
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Affiliation(s)
- Yanan Wang
- School of Materials Science and Chemical Engineering, Ningbo University, Ningbo, Zhejiang 315211, China
| | - Ting Liu
- School of Materials Science and Chemical Engineering, Ningbo University, Ningbo, Zhejiang 315211, China
| | - Longxin Chen
- School of Materials Science and Chemical Engineering, Ningbo University, Ningbo, Zhejiang 315211, China
| | - Duobin Chao
- School of Materials Science and Chemical Engineering, Ningbo University, Ningbo, Zhejiang 315211, China
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12
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Feng G, Shen Y, Yu Y, Liang Q, Dong J, Lei S, Hu W. Boronic ester Sierpiński triangle fractals: from precursor design to on-surface synthesis and self-assembling superstructures. Chem Commun (Camb) 2021; 57:2065-2068. [PMID: 33507169 DOI: 10.1039/d0cc07047e] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Herein, we designed and synthesized a precursor with a three-fold node and successfully constructed covalent Sierpiński triangle (ST) fractals with boronic ester linkages both at the liquid/solid interface at room temperature and by thermal annealing in a water atmosphere under ambient conditions. Remarkably, large-scale ordered superstructures of covalent STs are constructed by thermal annealing, which paves the way for property investigation of STs.
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Affiliation(s)
- Guangyuan Feng
- Tianjin Key Laboratory of Molecular Optoelectronic Sciences, Department of Chemistry, School of Science & Collaborative Innovation Center of Chemical Science and Engineering (Tianjin), Tianjin University, Tianjin 300072, China.
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13
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Anitas EM. Structural Properties of Molecular Sierpiński Triangle Fractals. NANOMATERIALS 2020; 10:nano10050925. [PMID: 32403232 PMCID: PMC7279533 DOI: 10.3390/nano10050925] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 04/15/2020] [Revised: 05/02/2020] [Accepted: 05/05/2020] [Indexed: 11/16/2022]
Abstract
The structure of fractals at nano and micro scales is decisive for their physical properties. Generally, statistically self-similar (random) fractals occur in natural systems, and exactly self-similar (deterministic) fractals are artificially created. However, the existing fabrication methods of deterministic fractals are seldom defect-free. Here, are investigated the effects of deviations from an ideal deterministic structure, including small random displacements and different shapes and sizes of the basic units composing the fractal, on the structural properties of a common molecular fractal—the Sierpiński triangle (ST). To this aim, analytic expressions of small-angle scattering (SAS) intensities are derived, and it is shown that each type of deviation has its own unique imprint on the scattering curve. This allows the extraction of specific structural parameters, and thus the design and fabrication of artificial structures with pre-defined properties and functions. Moreover, the influence on the SAS intensity of various configurations induced in ST, can readily be extended to other 2D or 3D structures, allowing for exploration of structure-property relationships in various well-defined fractal geometries.
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Affiliation(s)
- Eugen Mircea Anitas
- Joint Institute for Nuclear Research, Dubna 141980, Russia;
- Horia Hulubei, National Institute of Physics and Nuclear Engineering, 077125 Bucharest-Magurele, Romania
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