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A Simple Stochastic Reaction Model for Heterogeneous Polymerizations. Polymers (Basel) 2022; 14:polym14163269. [PMID: 36015526 PMCID: PMC9414839 DOI: 10.3390/polym14163269] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2022] [Revised: 08/03/2022] [Accepted: 08/05/2022] [Indexed: 11/17/2022] Open
Abstract
The stochastic reaction model (SRM) treats polymerization as a pure probability‐based issue, which is widely applied to simulate various polymerization processes. However, in many studies, active centers were assumed to react with the same probability, which cannot reflect the heterogeneous reaction microenvironment in heterogeneous polymerizations. Recently, we have proposed a simple SRM, in which the reaction probability of an active center is directly determined by the local reaction microenvironment. In this paper, we compared this simple SRM with other SRMs by examining living polymerizations with randomly dispersed and spatially localized initiators. The results confirmed that the reaction microenvironment plays an important role in heterogeneous polymerizations. This simple SRM provides a good choice to simulate various polymerizations.
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Dockhorn R, Sommer JU. Theory of chain walking catalysis: From disordered dendrimers to dendritic bottle-brushes. J Chem Phys 2022; 157:044902. [DOI: 10.1063/5.0098263] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The chain walking (CW) polymerization technique has the unique property of a movable catalyst synthesizing its own path by creating branch-on-branch structures. By successive attachment of monomers, the resulting architecture ranges from dendritic to linear growth depending on the walking rate, which is defined by the ratio of walking steps and reaction events of the catalyst. The transition regime is characterized by local dendritic sub-structures (dendritic blobs) and a global linear chain feature forming a dendritic bottle-brush. A scaling model for structures obtained by CW catalysis is presented and validated by computer simulation relating the extensions of CW structures to the catalyst’s walking ability. The limiting case of linear (low walking rate) and dendritic growth (high walking rate) is recovered, and the latter is shown to bear analogies to the Barabási–Albert graph and Bernoulli growth random walk. We could quantify the size of the dendritic blob as a function of the walking rate by using spectral properties of the connectivity matrix of the simulated macromolecules. This allows us to fit the numerical constants in the scaling approach. We predict that independent of the underlying chemical process, all CW polymerization syntheses involving a highly mobile catalyst ultimately result in bottle-brush structures whose properties depend on a unique parameter: the walking rate.
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Affiliation(s)
- R. Dockhorn
- Institute Theory of Polymers, Leibniz Institute of Polymer Research Dresden, Hohe Strasse 6, D-01069 Dresden, Germany
| | - J.-U. Sommer
- Institute Theory of Polymers, Leibniz Institute of Polymer Research Dresden, Hohe Strasse 6, D-01069 Dresden, Germany
- Institute for Theoretical Physics, Technische Universität Dresden, D-01069 Dresden, Germany
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Xu D, Ni CY, Zhu YL, Lu ZY, Xue YH, Liu H. Kinetic step-growth polymerization: A dissipative particle dynamics simulation study. J Chem Phys 2018; 148:024901. [DOI: 10.1063/1.4999050] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022] Open
Affiliation(s)
- Dan Xu
- Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun 130023, China
| | - Chun-Yan Ni
- Department of Anesthesiology, Cancer Hospital of Jilin Province, Huguang Road, No. 1018, Changchun 130012, China
| | - You-Liang Zhu
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, China
| | - Zhong-Yuan Lu
- State Key Laboratory of Supramolecular Structure and Materials, Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun 130021, China
| | - Yao-Hong Xue
- School of Computer Science and Technology, Changchun University of Science and Technology, Changchun 130022, China
| | - Hong Liu
- State Key Laboratory of Supramolecular Structure and Materials, Laboratory of Theoretical and Computational Chemistry, Institute of Theoretical Chemistry, Jilin University, Changchun 130021, China
- Eduard-Zintl-Institut für Anorganische und Physikalische Chemie, Technische Universität, Darmstadt 64287, Germany
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Son SH, Han JJ, Lee JM. Modeling of the polymerization of linear monomers in the presence of multifunctional units. POLYMER 2017. [DOI: 10.1016/j.polymer.2017.08.011] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Al-Moameri H, Ghoreishi R, Suppes G. Impact of inter- and intra-molecular movements on thermoset polymerization reactions. Chem Eng Sci 2017. [DOI: 10.1016/j.ces.2016.12.007] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Guo B, Yu K, Li H, Qi R, Zhang Y, Song H, Tang Z, Zhu Z, Chen M. Coral-Shaped MoS 2 Decorated with Graphene Quantum Dots Performing as a Highly Active Electrocatalyst for Hydrogen Evolution Reaction. ACS APPLIED MATERIALS & INTERFACES 2017; 9:3653-3660. [PMID: 28060479 DOI: 10.1021/acsami.6b14035] [Citation(s) in RCA: 37] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
We report a new CVD method to prepare coral-shaped monolayer MoS2 with a large amount of exposed edge sites for catalyzing hydrogen evolution reaction. The electrocatalytic activities of the coral-shaped MoS2 can be further enhanced by electronic band engineering via decorated with graphene quantum dot (GQD) decoration. Generally, GQDs improve the electrical conductivity of the MoS2 electrocatalyst. First-principles calculations suggest that the coral MoS2@GQD is a zero-gap material. The high electric conductivity and pronounced catalytically active sites give the hybrid catalyst outstanding electrocatalytic performance with a small onset overpotential of 95 mV and a low Tafel slope of 40 mV/dec as well as excellent long-term electrocatalytic stability. The present work provides a potential way to design two-dimensional hydrogen evolution reaction (HER) electrocatalysts through controlling the shape and modulating the electric conductivity.
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Affiliation(s)
- Bangjun Guo
- Key Laboratory of Polar Materials and Devices (Ministry of Education of China), Department of Electronic Engineering, East China Normal University , Shanghai 200241, China
| | - Ke Yu
- Key Laboratory of Polar Materials and Devices (Ministry of Education of China), Department of Electronic Engineering, East China Normal University , Shanghai 200241, China
| | - Honglin Li
- Key Laboratory of Polar Materials and Devices (Ministry of Education of China), Department of Electronic Engineering, East China Normal University , Shanghai 200241, China
| | - Ruijuan Qi
- Key Laboratory of Polar Materials and Devices (Ministry of Education of China), Department of Electronic Engineering, East China Normal University , Shanghai 200241, China
| | - Yuanyuan Zhang
- Key Laboratory of Polar Materials and Devices (Ministry of Education of China), Department of Electronic Engineering, East China Normal University , Shanghai 200241, China
| | - Haili Song
- Key Laboratory of Polar Materials and Devices (Ministry of Education of China), Department of Electronic Engineering, East China Normal University , Shanghai 200241, China
| | - Zheng Tang
- Key Laboratory of Polar Materials and Devices (Ministry of Education of China), Department of Electronic Engineering, East China Normal University , Shanghai 200241, China
| | - Ziqiang Zhu
- Key Laboratory of Polar Materials and Devices (Ministry of Education of China), Department of Electronic Engineering, East China Normal University , Shanghai 200241, China
| | - Mingwei Chen
- State Key Laboratory of Metal Matrix Composites, School of Materials Science and Engineering, Shanghai Jiao Tong University , Shanghai 200030, China
- WPI Advanced Institute for Materials Research, Tohoku University , Sendai 980-8577, Japan
- CREST, Japan Science and Technology Agency (JST) , Saitama 332-0012, Japan
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7
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Liu H, Zhu YL, Lu ZY, Müller-Plathe F. A kinetic chain growth algorithm in coarse-grained simulations. J Comput Chem 2016; 37:2634-2646. [DOI: 10.1002/jcc.24495] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/20/2016] [Revised: 09/04/2016] [Accepted: 09/07/2016] [Indexed: 01/19/2023]
Affiliation(s)
- Hong Liu
- State Key Laboratory of Supramolecular Structure and Materials; Institute of Theoretical Chemistry, Jilin University; Changchun 130021 China
- Eduard-Zintl-Institut für Anorganische und Physikalische Chemie, Technische Universität; Darmstadt 64287 Deutschland
| | - You-Liang Zhu
- State Key Laboratory of Polymer Physics and Chemistry; Changchun Institute of Applied Chemistry, Chinese Academy of Sciences; Changchun 130022 China
| | - Zhong-Yuan Lu
- State Key Laboratory of Supramolecular Structure and Materials; Institute of Theoretical Chemistry, Jilin University; Changchun 130021 China
| | - Florian Müller-Plathe
- Eduard-Zintl-Institut für Anorganische und Physikalische Chemie, Technische Universität; Darmstadt 64287 Deutschland
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Liu J, Ma Y, Wu R, Yu M. Molecular simulation of diffusion-controlled kinetics in stepwise polymerization. POLYMER 2016. [DOI: 10.1016/j.polymer.2016.05.050] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
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Rabbel H, Frey H, Schmid F. Statistical properties of linear-hyperbranched graft copolymers prepared via “hypergrafting” of ABm monomers from linear B-functional core chains: A molecular dynamics simulation. J Chem Phys 2015; 143:243125. [DOI: 10.1063/1.4935371] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023] Open
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Zhang Z, Wang L, Wang Z, He X, Chen Y, Müller-Plathe F, Böhm MC. A coarse-grained molecular dynamics – reactive Monte Carlo approach to simulate hyperbranched polycondensation. RSC Adv 2014. [DOI: 10.1039/c4ra10271a] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
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Wang Z, Wang L, Chen Y, He X. Phase transition behaviours of a single dendritic polymer. SOFT MATTER 2014; 10:4142-4150. [PMID: 24752714 DOI: 10.1039/c3sm53179a] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Dendritic polymers with highly branching structures exhibit many unique properties. In this paper, a computational study using the Wang-Landau sampling technique is carried out to reveal the phase transition behaviours of dendritic homopolymers with various branching structures. Two types of dendritic homopolymers, dendrimers/dendrigrafts (D/D) and hyperbranched (HB) polymers are studied. It is found that with increasing degree of branching in the dendritic polymer, the liquid-solid (LS) transition temperature increases and the coil-globule (CG) transition becomes weak. Additionally, under similar degrees of branching and polymerization, D/D polymers have a higher LS transition temperature than HB polymers. The reason is that the D/D polymers have greater regularity in the radial distribution of the branching units, which facilitates monomer packing during the LS transition. The distinctive internal unit distribution at various temperatures is quantitatively analysed. Our results show the importance of dendritic polymer structure regularity in phase transition behaviours and are valuable in guiding the structural design of dendritic macromolecules for functionalization applications.
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Affiliation(s)
- Zilu Wang
- Department of Polymer Science and Engineering, School of Chemical Engineering and Technology, Tianjin University, 300072 Tianjin, China
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Abstract
This paper details the synthesis of a well-defined hyperbranched polymer using a slow monomer addition method. The polymerization under slow monomer addition conditions results in a very low monomer concentration actually present in the reaction mixture, and the exclusive reaction of the monomer with the growing polyfunctional macromolecules occurs, resulting in a high molecular weight and a high degree of branching value. Thus, the slow monomer addition is a versatile and preferential method for the controlled synthesis of a well-defined hyperbranched polymer with both a high molecular weight and a high degree of branching value.
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