1
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Mizuguchi M, Umeda K, Mizumoto H, Terao K. Solution characterization of a hyperbranched polysaccharide carbamate derivative and specific phase separation behavior due to chain branching. SOFT MATTER 2023; 19:7781-7786. [PMID: 37791582 DOI: 10.1039/d3sm01074k] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/05/2023]
Abstract
A hyperbranched polymer consisting of rigid helical part chains was prepared as highly branched cyclic dextrin tris(phenylcarbamate) (HTPC) with the weight-average molar masses of 880 and 590 kg mol-1. Small-angle X-ray scattering (SAXS) measurement and viscometry were performed on the samples in good and poor solvents to determine the dimensional and hydrodynamic properties in solution. The HTPC molecule has a much more compact conformation than the linear chain with the same molar mass as expected for the hyperbranched architecture. While the corresponding linear polymer is soluble in methyl acetate (MEA) over a wide temperature range, HTPC is only soluble in the solvent at low temperatures. A typical LCST-type phase diagram was observed for the HTPC-MEA system, indicating that the interactions between the polymer segment of HTPC and the MEA molecules are substantially different from those of the linear chains. This is most likely due to the bending helical chains near the branching point of HTPC having different interactions with solvent molecules.
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Affiliation(s)
- Madoka Mizuguchi
- Department of Macromolecular Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan.
| | - Keisuke Umeda
- Department of Macromolecular Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan.
| | - Hisato Mizumoto
- Department of Macromolecular Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan.
| | - Ken Terao
- Department of Macromolecular Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan.
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2
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Kuriata A, Sikorski A. Structure of adsorbed linear and cyclic block copolymers: A computer simulation study. J Mol Liq 2023. [DOI: 10.1016/j.molliq.2023.121664] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/30/2023]
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3
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Chen D, Molnar K, Kim H, Helfer CA, Kaszas G, Puskas JE, Kornfield JA, McKenna GB. Linear Viscoelastic Properties of Putative Cyclic Polymers Synthesized by Reversible Radical Recombination Polymerization (R3P). Macromolecules 2023. [DOI: 10.1021/acs.macromol.2c00892] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Affiliation(s)
- Dongjie Chen
- Department of Chemical Engineering, Texas Tech University, Lubbock, Texas79409, United States
| | - Kristof Molnar
- Department of Food, Agricultural and Biological Engineering, The Ohio State University, Wooster, Ohio44691, United States
- Laboratory of Nanochemistry, Department of Biophysics and Radiation Biology, Semmelweis University, Budapest1089, Hungary
| | - Hojin Kim
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California91125, United States
| | - Carin A. Helfer
- Department of Food, Agricultural and Biological Engineering, The Ohio State University, Wooster, Ohio44691, United States
| | - Gabor Kaszas
- Department of Food, Agricultural and Biological Engineering, The Ohio State University, Wooster, Ohio44691, United States
| | - Judit E. Puskas
- Department of Food, Agricultural and Biological Engineering, The Ohio State University, Wooster, Ohio44691, United States
| | - Julia A. Kornfield
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California91125, United States
| | - Gregory B. McKenna
- Department of Chemical Engineering, Texas Tech University, Lubbock, Texas79409, United States
- Department of Chemical and Biomolecular Engineering, North Carolina State University, Raleigh, North Carolina27695, United States
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4
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Yang PB, Davidson MG, Edler KJ, Leaman N, Bathke EK, McCormick SN, Matsarskaia O, Brown S. Comparison of Cyclic and Linear Poly(lactide)s Using Small-Angle Neutron Scattering. Macromolecules 2022; 55:11051-11058. [PMID: 36590371 PMCID: PMC9798859 DOI: 10.1021/acs.macromol.2c02020] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/30/2022] [Revised: 11/29/2022] [Indexed: 12/14/2022]
Abstract
Small-angle neutron scattering (SANS) experiments were conducted on cyclic and linear polymers of racemic and l-lactides (PLA) with the goal of comparing chain configurations, scaling, and effective polymer-solvent interactions of the two topologies in acetone-d 6 and THF-d 8. There are limited reports of SANS results on cyclic polymers due to the lack of substantial development in the field until recently. Now that pure, well-defined cyclic polymers are accessible, unanswered questions about their rheology and physical conformations can be better investigated. Previously reported SANS experiments have used cyclic and linear polystyrene samples; therefore, our work allowed for direct comparison using a contrasting (structurally and sterically) polymer. We compared SANS results of cyclic and linear PLA samples with various microstructures and molecular weights at two different temperatures, allowing for comparison with a wide range of variables. The results followed the trends of previous experiments, but much greater differences in the effective polymer-solvent interaction parameters between cyclic and linear forms of PLA were observed, implying that the small form factor and hydrogen bonding in PLA allowed for much more compact conformations in the cyclic form only. Also, the polymer microstructure was found to influence polymer-solvent interaction parameters substantially. These results illustrate how the difference in polymer-solvent interactions between cyclic and linear polymers can vary greatly depending on the polymer in question and the potential of neutron scattering as a tool for identification and characterization of the cyclic topology.
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Affiliation(s)
- Philip B. Yang
- ¶Institute
for Sustainability and †Department of Chemistry, University of
Bath, Claverton Down, BathBA2
7AY, United Kingdom,
| | - Matthew G. Davidson
- ¶Institute
for Sustainability and †Department of Chemistry, University of
Bath, Claverton Down, BathBA2
7AY, United Kingdom
| | - Karen J. Edler
- ¶Institute
for Sustainability and †Department of Chemistry, University of
Bath, Claverton Down, BathBA2
7AY, United Kingdom,Centre
for Analysis and Synthesis, Department of Chemistry, Lund University, SE-221
00Lund, Sweden,
| | - Niamh Leaman
- ¶Institute
for Sustainability and †Department of Chemistry, University of
Bath, Claverton Down, BathBA2
7AY, United Kingdom
| | - Elly K. Bathke
- ¶Institute
for Sustainability and †Department of Chemistry, University of
Bath, Claverton Down, BathBA2
7AY, United Kingdom
| | - Strachan N. McCormick
- ¶Institute
for Sustainability and †Department of Chemistry, University of
Bath, Claverton Down, BathBA2
7AY, United Kingdom
| | - Olga Matsarskaia
- Institut
Laue Langevin, 71 Av. Des Martyrs, 38000Grenoble, France
| | - Steven Brown
- Scott
Bader, Wollaston, WellingboroughNN29 7RJ, United Kingdom
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5
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Chremos A, Douglas JF, Basser PJ, Horkay F. Molecular dynamics study of the swelling and osmotic properties of compact nanogel particles. SOFT MATTER 2022; 18:6278-6290. [PMID: 35968626 PMCID: PMC9425154 DOI: 10.1039/d2sm00681b] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
Owing to their great importance in materials science and other fields, we investigate the solution and osmotic properties of uncharged compact nanogel particles over a wide range of solvent quality and particle concentration by molecular dynamics (MD) simulations. We characterize the osmotic pressure by estimating the second and third virial coefficients, and by extension, we identify the θ-point where the second virial coefficient vanishes. Calculations of the structure factor indicate that these particles are similar to macrogels in that the particle-like scattering profile disappears at moderate concentrations. We also find that improving the solvent quality enhances the spatial segmental uniformity, while significant heterogeneous structure arises near the θ-point. Well below the θ-point where the second osmotic virial coefficient vanishes, these heterogeneous structures become less prevalent as the particles tend to collapse. We also investigate the degree of swelling and structure of compact nanogel particles with a variable excluded volume interaction and gel particle concentration. The osmotic modulus and the scaling exponents in good and θ-point conditions of these gels are characteristic of interacting randomly branched polymers, i.e., "lattice animals".
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Affiliation(s)
- Alexandros Chremos
- Section on Quantitative Imaging and Tissue Sciences, Eunice Kennedy Shriver National Institute of Child Health and Human Development, National Institutes of Health, Bethesda, MD 20892, USA.
| | - Jack F Douglas
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA.
| | - Peter J Basser
- Section on Quantitative Imaging and Tissue Sciences, Eunice Kennedy Shriver National Institute of Child Health and Human Development, National Institutes of Health, Bethesda, MD 20892, USA.
| | - Ferenc Horkay
- Section on Quantitative Imaging and Tissue Sciences, Eunice Kennedy Shriver National Institute of Child Health and Human Development, National Institutes of Health, Bethesda, MD 20892, USA.
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6
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Rong LH, Cheng X, Ge J, Wang H, Cao PF, Caldona EB, Advincula RC. On the Interfacial Behavior of Catenated Poly(l-lactide) at the Air-Water Interface. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2022; 38:9751-9759. [PMID: 35921602 DOI: 10.1021/acs.langmuir.2c00454] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
Interfacial properties of polymeric materials are significantly influenced by their architectural structures and spatial features, while such a study of topologically interesting macromolecules is rarely reported. In this work, we reported, for the first time, the interfacial behavior of catenated poly(l-lactide) (C-PLA) at the air-water interface and compared it with its linear analogue (L-PLA). The isotherms of surface pressure-area per repeating unit showed significant interfacial behavioral differences between the two polymers with different topologies. Isobaric creep experiments and compression-expansion cycles also showed that C-PLA demonstrated higher stability at the air-water interface. Interestingly, when the films at different surface pressures were transferred via the Langmuir-Blodgett method, successive atomic force microscopy imaging displayed distinct nanomorphologies, in which the surface of C-PLA exhibited nanofibrous structures, while that of the L-PLA revealed a smoother topology with less fiber-like structures.
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Affiliation(s)
- Li-Han Rong
- Department of Macromolecular Science and Engineering, Case Western Reserve University, Cleveland, Ohio 44106, United States
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830, United States
| | - Xiang Cheng
- Department of Macromolecular Science and Engineering, Case Western Reserve University, Cleveland, Ohio 44106, United States
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830, United States
| | - Jin Ge
- Department of Macromolecular Science and Engineering, Case Western Reserve University, Cleveland, Ohio 44106, United States
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830, United States
| | - Hanyu Wang
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830, United States
| | - Peng-Fei Cao
- State Key Laboratory of Organic-Inorganic Composites, Beijing University of Chemical Technology, Beijing 100029, China
| | - Eugene B Caldona
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830, United States
- Department of Chemical and Biomolecular Engineering and Institute for Advanced Materials and Manufacturing, University of Tennessee, Knoxville, Tennessee 37996, United States
| | - Rigoberto C Advincula
- Department of Macromolecular Science and Engineering, Case Western Reserve University, Cleveland, Ohio 44106, United States
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830, United States
- Department of Chemical and Biomolecular Engineering and Institute for Advanced Materials and Manufacturing, University of Tennessee, Knoxville, Tennessee 37996, United States
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7
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Conformation and structure of ring polymers in semidilute solutions: A molecular dynamics simulation study. POLYMER 2022. [DOI: 10.1016/j.polymer.2022.124953] [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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8
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Ding M, Li L. Flow-Induced Translocation and Conformational Transition of Polymer Chains through Nanochannels: Recent Advances and Future Perspectives. Macromolecules 2021. [DOI: 10.1021/acs.macromol.1c00909] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Mingming Ding
- School of Chemical Engineering and Light Industry, Guangdong University of Technology, Guangzhou 510006, China
| | - Lianwei Li
- Food Science and Processing Research Center, College of Chemistry and Environmental Engineering, Shenzhen University, Shenzhen 518060, China
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9
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Molnar K, Helfer CA, Kaszas G, Krisch E, Chen D, McKenna GB, Kornfield JA, Puskas JE. Liquid chromatography at critical conditions (LCCC): Capabilities and limitations for polymer analysis. J Mol Liq 2021. [DOI: 10.1016/j.molliq.2020.114956] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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10
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Rolińska K, Sikorski A. Adsorption of Linear and Cyclic Multiblock Copolymers from Selective Solvent. A Monte Carlo Study. MACROMOL THEOR SIMUL 2020. [DOI: 10.1002/mats.202000053] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Karolina Rolińska
- Faculty of Chemistry Warsaw University of Technology Noakowskiego 3 Warsaw 00‐664 Poland
- Department of Chemistry University of Warsaw Pasteura 1 Warsaw 02‐093 Poland
| | - Andrzej Sikorski
- Department of Chemistry University of Warsaw Pasteura 1 Warsaw 02‐093 Poland
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11
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Local Effects of Ring Topology Observed in Polymer Conformation and Dynamics by Neutron Scattering-A Review. Polymers (Basel) 2020; 12:polym12091884. [PMID: 32825628 PMCID: PMC7563567 DOI: 10.3390/polym12091884] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/31/2020] [Revised: 08/14/2020] [Accepted: 08/17/2020] [Indexed: 11/24/2022] Open
Abstract
The physical properties of polymers depend on a range of both structural and chemical parameters, and in particular, on molecular topology. Apparently simple changes such as joining chains at a point to form stars or simply joining the two ends to form a ring can profoundly alter molecular conformation and dynamics, and hence properties. Cyclic polymers, as they do not have free ends, represent the simplest model system where reptation is completely suppressed. As a consequence, there exists a considerable literature and several reviews focused on high molecular weight cyclics where long range dynamics described by the reptation model comes into play. However, this is only one area of interest. Consideration of the conformation and dynamics of rings and chains, and of their mixtures, over molecular weights ranging from tens of repeat units up to and beyond the onset of entanglements and in both solution and melts has provided a rich literature for theory and simulation. Experimental work, particularly neutron scattering, has been limited by the difficulty of synthesizing well-characterized ring samples, and deuterated analogues. Here in the context of the broader literature we review investigations of local conformation and dynamics of linear and cyclic polymers, concentrating on poly(dimethyl siloxane) (PDMS) and covering a wide range of generally less high molar masses. Experimental data from small angle neutron scattering (SANS) and quasi-elastic neutron scattering (QENS), including Neutron Spin Echo (NSE), are compared to theory and computational predictions.
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12
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Morphology and growth rate of spherulite of cyclic poly(ε-caprolactone) having a triazole group at the closing point. POLYMER 2020. [DOI: 10.1016/j.polymer.2020.122660] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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13
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Handa M, Biswas P. Orientational relaxation of ring polymers in dilute solutions. SOFT MATTER 2019; 15:5896-5907. [PMID: 31271404 DOI: 10.1039/c9sm00640k] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The segmental relaxation dynamics of ring polymers in dilute solutions is investigated via optimized Rouse-Zimm theory. To the best of our knowledge, this is the first study that characterizes the orientational relaxation dynamics of ring polymers in dilute solutions. The orientational time autocorrelation functions are governed by two major processes that span a broad range of timescales: (i) local segmental motion at short times, independent of the ring size, and (ii) overall motion of the ring at long times that depends on the limiting ring size. Smaller rings relax faster than larger rings and their respective linear analogues. The hydrodynamic interactions decrease the higher relaxation rates corresponding to the local relaxation modes and increase the smaller relaxation rates which correspond to the collective relaxation modes. The spectral density is independent of frequency in the low frequency regime while it decreases with increasing frequency. Regardless of the ring size, the spin-lattice relaxation rate exhibits a single characteristic maximum as a function of frequency that shifts to a lower value with increasing strength of hydrodynamic interactions.
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Affiliation(s)
- Manisha Handa
- Department of Chemistry, University of Delhi, Delhi-110007, India.
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14
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Gartner TE, Haque FM, Gomi AM, Grayson SM, Hore MJA, Jayaraman A. Scaling Exponent and Effective Interactions in Linear and Cyclic Polymer Solutions: Theory, Simulations, and Experiments. Macromolecules 2019. [DOI: 10.1021/acs.macromol.9b00600] [Citation(s) in RCA: 23] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Affiliation(s)
| | - Farihah M. Haque
- Department of Chemistry, Tulane University, New Orleans, Louisiana 70118, United States
| | - Aila M. Gomi
- Department of Macromolecular Science and Engineering, Case Western Reserve University, Cleveland, Ohio 44106, United States
| | - Scott M. Grayson
- Department of Chemistry, Tulane University, New Orleans, Louisiana 70118, United States
| | - Michael J. A. Hore
- Department of Macromolecular Science and Engineering, Case Western Reserve University, Cleveland, Ohio 44106, United States
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15
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16
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Suzuki J, Takano A, Matsushita Y. Dimensions of catenated ring polymers in dilute solution studied by Monte-Carlo simulation. J Chem Phys 2018; 149:204901. [PMID: 30501266 DOI: 10.1063/1.5050840] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Interaction between two simple ring chains catenated in a molecule was estimated by a Metropolis Monte Carlo simulation, and the result was compared with a model. We employed catenated ring chains in this study; they were composed of two simple ring chains, and the topology was kept as 2 1 2 . The temperature dependence of the distance between two ring chains in a molecule was discussed using Flory's scaling exponent, ν, in R g ∝ N ν , where R g is the radius of gyration of a simple ring chain catenated in a molecule. In the simulation, the topology of the component rings and their links were kept because chain crossing was prohibited. The excluded volume of chains was screened by the attractive force between polymer segments, and the strength of the attractive force depends on temperature, T. At the θ temperature for trivial ring polymers, where the condition ν = 1/2 holds, their trajectories can be described statistically as a closed-random walk, i.e., a closed-phantom chain model. The temperature at which interaction between trivial ring polymers, i.e., inter-molecular interaction, is repulsive; trivial ring polymer molecules show the excluded volume generated with keeping their own topology, 01. A catenated molecule is composed of two simple rings, and so forth a component ring can be affected by the existence of the counterpart rings. Under that temperature, the mean-square distance between two rings in a catenated molecule, ⟨L 2⟩, was obtained and compared with that of the simple model composed of two circles in three-dimensions, where interaction between circles is set as zero. It has been found that the simulated ⟨L 2⟩ values were constantly larger than those of the model owing to the excluded volume of rings in a molecule.
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Affiliation(s)
- Jiro Suzuki
- Computing Research Center, High Energy Accelerator Research Organization (KEK), Oho 1, Tsukuba, Ibaraki 305-0801, Japan
| | - Atsushi Takano
- Chemical and Biological Engineering, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yushu Matsushita
- Chemical and Biological Engineering, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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17
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Arrighi V, Gagliardi S, Ganazzoli F, Higgins JS, Raffaini G, Tanchawanich J, Taylor J, Telling MTF. Effect of Chain Length and Topological Constraints on Segmental Relaxation in Cyclic PDMS. Macromolecules 2018. [DOI: 10.1021/acs.macromol.8b00397] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Valeria Arrighi
- Institute of Chemical Sciences, School of Engineering and Physical Science, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Simona Gagliardi
- Institute of Chemical Sciences, School of Engineering and Physical Science, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Fabio Ganazzoli
- Dipartimento di Chimica, Materiali e Ingegneria Chimica “Giulio Natta”, Politecnico di Milano, via L. Mancinelli 7, 20131 Milano, Italy
| | - Julia S. Higgins
- Chemical Engineering Department, Imperial College London, South Kensington
Campus, London SW7 2AZ, United Kingdom
| | - Giuseppina Raffaini
- Dipartimento di Chimica, Materiali e Ingegneria Chimica “Giulio Natta”, Politecnico di Milano, via L. Mancinelli 7, 20131 Milano, Italy
| | - Jeerachada Tanchawanich
- Institute of Chemical Sciences, School of Engineering and Physical Science, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Jenny Taylor
- Institute of Chemical Sciences, School of Engineering and Physical Science, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
| | - Mark T. F. Telling
- ISIS, Rutherford
Appleton Laboratory, Chilton, Didcot OX11 OQX, United Kingdom
- Department of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, United Kingdom
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18
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19
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Kobayashi Y, Doi Y, Abdul Rahman SS, Kim E, Kim TH, Takano A, Matsushita Y. SANS Study of Ring Topology Effects on the Miscibility of Polymer Blends. Macromolecules 2018. [DOI: 10.1021/acs.macromol.7b02359] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Affiliation(s)
- Yuki Kobayashi
- Department of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
| | - Yuya Doi
- Department of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
| | - Siti Sarah Abdul Rahman
- Department of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
| | - Eunhye Kim
- HANARO Research Reactor Utilization Development, Korea Atomic Energy Research Institute (KAERI), Daejeon 305-353, Korea
| | - Tae-Hwan Kim
- HANARO Research Reactor Utilization Development, Korea Atomic Energy Research Institute (KAERI), Daejeon 305-353, Korea
| | - Atsushi Takano
- Department of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
| | - Yushu Matsushita
- Department of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
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20
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Iwamoto T, Doi Y, Kinoshita K, Ohta Y, Takano A, Takahashi Y, Nagao M, Matsushita Y. Conformations of Ring Polystyrenes in Bulk Studied by SANS. Macromolecules 2018. [DOI: 10.1021/acs.macromol.7b02358] [Citation(s) in RCA: 27] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Takuro Iwamoto
- Department
of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
| | - Yuya Doi
- Department
of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
- Institute
for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan
| | - Keita Kinoshita
- Department
of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
| | - Yutaka Ohta
- Department
of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
| | - Atsushi Takano
- Department
of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
| | - Yoshiaki Takahashi
- Institute
for Materials Chemistry and Engineering, Kyushu University, Kasuga, Fukuoka 816-8580, Japan
| | - Michihiro Nagao
- NIST
Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-6102, United States
- Center
for Exploration of Energy and Matter, Indiana University, Bloomington, Indiana 47408, United States
| | - Yushu Matsushita
- Department
of Molecular and Macromolecular Chemistry, Nagoya University, Nagoya, Aichi 464-8603, Japan
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21
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Kuriata A, Sikorski A. Collapse Transition of Cyclic Homopolymers and Block Copolymers. MACROMOL THEOR SIMUL 2018. [DOI: 10.1002/mats.201700089] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/02/2023]
Affiliation(s)
- Aleksander Kuriata
- Department of Chemistry; University of Warsaw; Pasteura 1 02-093 Warsaw Poland
| | - Andrzej Sikorski
- Department of Chemistry; University of Warsaw; Pasteura 1 02-093 Warsaw Poland
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22
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Affiliation(s)
- Youncheol Jeong
- Division of Advanced Materials
Science and Department of Chemistry, Pohang University of Science and Technology (POSTECH), Pohang 37673, Korea
| | - Ye Jin
- Division of Advanced Materials
Science and Department of Chemistry, Pohang University of Science and Technology (POSTECH), Pohang 37673, Korea
| | - Taihyun Chang
- Division of Advanced Materials
Science and Department of Chemistry, Pohang University of Science and Technology (POSTECH), Pohang 37673, Korea
| | - Filip Uhlik
- Department of Physical and
Macromolecular Chemistry, Charles University, Prague 12843,Czech Republic
| | - Jacques Roovers
- Institute for Environmental
Chemistry, National Research Council of Canada, Ottawa, ON K1A 0R6, Canada
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23
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Deguchi T, Uehara E. Statistical and Dynamical Properties of Topological Polymers with Graphs and Ring Polymers with Knots. Polymers (Basel) 2017; 9:E252. [PMID: 30970929 PMCID: PMC6432503 DOI: 10.3390/polym9070252] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/26/2017] [Revised: 06/22/2017] [Accepted: 06/23/2017] [Indexed: 11/16/2022] Open
Abstract
We review recent theoretical studies on the statistical and dynamical properties of polymers with nontrivial structures in chemical connectivity and those of polymers with a nontrivial topology, such as knotted ring polymers in solution. We call polymers with nontrivial structures in chemical connectivity expressed by graphs "topological polymers". Graphs with no loop have only trivial topology, while graphs with loops such as multiple-rings may have nontrivial topology of spatial graphs as embeddings in three dimensions, e.g., knots or links in some loops. We thus call also such polymers with nontrivial topology "topological polymers", for simplicity. For various polymers with different structures in chemical connectivity, we numerically evaluate the mean-square radius of gyration and the hydrodynamic radius systematically through simulation. We evaluate the ratio of the gyration radius to the hydrodynamic radius, which we expect to be universal from the viewpoint of the renormalization group. Furthermore, we show that the short-distance intrachain correlation is much enhanced for real topological polymers (the Kremer⁻Grest model) expressed with complex graphs. We then address topological properties of ring polymers in solution. We define the knotting probability of a knot K by the probability that a given random polygon or self-avoiding polygon of N vertices has the knot K. We show a formula for expressing it as a function of the number of segments N, which gives good fitted curves to the data of the knotting probability versus N. We show numerically that the average size of self-avoiding polygons with a fixed knot can be much larger than that of no topological constraint if the excluded volume is small. We call it "topological swelling".
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Affiliation(s)
- Tetsuo Deguchi
- Department of Physics, Faculty of Core Research, Ochanomizu University, Ohtsuka 2-1-1, Bunkyo-ku, Tokyo 112-8610, Japan.
| | - Erica Uehara
- Department of Physics, Faculty of Core Research, Ochanomizu University, Ohtsuka 2-1-1, Bunkyo-ku, Tokyo 112-8610, Japan.
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24
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Ida D, Yoshizaki T. Effects of three-segment interactions on the second virial coefficient of ring polymers in the Θ state. Polym J 2016. [DOI: 10.1038/pj.2016.48] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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25
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Doi Y, Iwasa Y, Watanabe K, Nakamura M, Takano A, Takahashi Y, Matsushita Y. Synthesis and Characterization of Comb-Shaped Ring Polystyrenes. Macromolecules 2016. [DOI: 10.1021/acs.macromol.6b00208] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Affiliation(s)
- Yuya Doi
- Department of Applied
Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yutaro Iwasa
- Department of Applied
Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Kazuki Watanabe
- Scientific Instruments
Division, Shoko Scientific Co., Ltd., 1-3-3 Azaminominami, Aoba-ku, Yokohama, Kanagawa 225-0012, Japan
| | - Masahide Nakamura
- Scientific Instruments
Division, Shoko Scientific Co., Ltd., 1-3-3 Azaminominami, Aoba-ku, Yokohama, Kanagawa 225-0012, Japan
| | - Atsushi Takano
- Department of Applied
Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yoshiaki Takahashi
- Institute for Materials Chemistry and Engineering, Kyushu University, 6-1,
Kasuga-koen, Kasuga, Fukuoka 816-8580, Japan
| | - Yushu Matsushita
- Department of Applied
Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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26
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27
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TERAO K, RYOKI A. Novel Synthesis of Rigid Cyclic Polymers and Their Molecular Conformation and Intermolecular Interactions in Solution. KOBUNSHI RONBUNSHU 2016. [DOI: 10.1295/koron.2016-0037] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Ken TERAO
- Department of Macromolecular Science, Osaka University
| | - Akiyuki RYOKI
- Department of Macromolecular Science, Osaka University
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28
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Coil to globule transition of homo- and block-copolymer with different topological constraint and chain stiffness. Sci China Chem 2015. [DOI: 10.1007/s11426-015-5430-x] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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29
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Doi Y, Matsubara K, Ohta Y, Nakano T, Kawaguchi D, Takahashi Y, Takano A, Matsushita Y. Melt Rheology of Ring Polystyrenes with Ultrahigh Purity. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b00076] [Citation(s) in RCA: 98] [Impact Index Per Article: 10.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Yuya Doi
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Kazuki Matsubara
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yutaka Ohta
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Tomohiro Nakano
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Daisuke Kawaguchi
- Education
Center for Global Leaders in Molecular System for Devices, Kyushu University, Fukuoka 819-0395, Japan
| | - Yoshiaki Takahashi
- Institute
for Materials Chemistry and Engineering, Kyushu University, 6-1, Kasuga-koen,
Kasuga, Fukuoka 816-8580, Japan
| | - Atsushi Takano
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yushu Matsushita
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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30
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31
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Gooßen S, Brás AR, Pyckhout-Hintzen W, Wischnewski A, Richter D, Rubinstein M, Roovers J, Lutz PJ, Jeong Y, Chang T, Vlassopoulos D. Influence of the Solvent Quality on Ring Polymer Dimensions. Macromolecules 2015; 48:1598-1605. [PMID: 27065493 DOI: 10.1021/ma502518p] [Citation(s) in RCA: 40] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We present a systematic investigation of well-characterized, experimentally pure polystyrene (PS) rings with molar mass of 161 000 g/mol in dilute solutions. We measure the ring form factor at θ- and good-solvent conditions as well as in a polymeric solvent (linear PS of roughly comparable molar mass) by means of small-angle neutron scattering (SANS). Additional dynamic light scattering (DLS) measurements support the SANS data and help elucidate the role of solvent quality and solution preparation. The results indicate the increase of ring dimensions as the solvent quality improves. Furthermore, the experimental form factors in both θ-solvent and linear matrix behave as ideal rings and are fully superimposable. The nearly Gaussian conformations of rings in a melt of linear chains provide evidence of threading of linear chains through rings. The latter result has implications for the dynamics of ring-linear polymer mixtures.
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Affiliation(s)
| | - Ana R Brás
- Forschungszentrum Jülich, JCNS-1/ICS-1, Jülich 52425, Germany
| | | | | | - Dieter Richter
- Forschungszentrum Jülich, JCNS-1/ICS-1, Jülich 52425, Germany
| | - Michael Rubinstein
- Department of Chemistry, University of North Carolina, Chapel Hill, North Carolina 27599-3290, United States
| | - Jacques Roovers
- Institute for Environmental Chemistry, National Research Council of Canada, Ottawa, Canada
| | - Pierre J Lutz
- Institut Charles Sadron, CNRS UPR 22, University of Strasbourg, 23, rue du Loess, 67034, Strasbourg, France
| | - Youncheol Jeong
- Division of Advanced Materials Science and Department of Chemistry, Pohang University of Science & Technology, Pohang 790784, Korea
| | - Taihyun Chang
- Division of Advanced Materials Science and Department of Chemistry, Pohang University of Science & Technology, Pohang 790784, Korea
| | - Dimitris Vlassopoulos
- Institute of Electronic Structure and Laser, Foundation for Research and Technology-Hellas (FORTH), P.O. Box 1527, Heraklion, Crete 71110, Greece. Department of Materials Science and Technology, University of Crete, P.O. Box 2208, Heraklion, Crete 71003, Greece
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32
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Suzuki J, Takano A, Matsushita Y. Interactions between ring polymers in dilute solution studied by Monte Carlo simulation. J Chem Phys 2015; 142:044904. [PMID: 25638006 DOI: 10.1063/1.4906556] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The second virial coefficient, A2, for trivial-ring polymers in dilute condition was estimated from a Metropolis Monte Carlo (MC) simulation, and the temperature dependence of A2 has been discussed with their Flory's scaling exponent, ν, in Rg ∝ N(ν), where Rg is radius of gyration of a polymer molecule. A limited but not too small number of polymer molecules were employed in the simulation, and the A2 values at various temperatures were calculated from the molecular density fluctuation in the solution. In the simulation, the topology of ring polymers was kept, since chain crossing was prohibited. The excluded volume effects can be screened by the attractive force between segments, which depends on the temperature, Tα, defined in the Metropolis MC method. Linear and trivial-ring polymers have the ν value of 1/2 at Tα = 10.605 and 10.504. At Tα = 10.504, the excluded volume effects are screened by the attractive force generated between segments in a ring polymer, but the A2 value for ring polymers is positive. Thus, the temperature at A2 = 0 for a ring polymer is lower than that at ν = 1/2, and this fact can be explained with the following two reasons. (a) Rg value for a ring polymer is much smaller than that for a linear polymer at the same temperature and molecular weight, where interpenetration of a ring polymer chain into neighboring chains is apparently less than a linear chain. (b) The conformation of trivial rings can be statistically described as a closed random walk at ν = 1/2, but their topologies are kept, being produced topological constraints, which strongly relate not only to the long-distance interaction between segments in a molecule but also the inter-molecular interaction.
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Affiliation(s)
- Jiro Suzuki
- Computing Research Center, High Energy Accelerator Research Organization (KEK), Oho 1, Tsukuba, Ibaraki 305-0801, Japan
| | - Atsushi Takano
- Chemical and Biological Engineering, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yushu Matsushita
- Chemical and Biological Engineering, Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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33
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IDA D. Dilute Solution Properties of Nonlinear Semiflexible Polymers: Crossover from the Rigid Chain to the Random Coil. KOBUNSHI RONBUNSHU 2015. [DOI: 10.1295/koron.2015-0013] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Daichi IDA
- Department of Polymer Chemistry, Kyoto University
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34
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Narros A, Likos CN, Moreno AJ, Capone B. Multi-blob coarse graining for ring polymer solutions. SOFT MATTER 2014; 10:9601-9614. [PMID: 25356818 DOI: 10.1039/c4sm01904k] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We present a multi-scale molecular modeling of concentrated solutions of unknotted and non-concatenated ring polymers under good solvent conditions. The approach is based on a multi-blob representation of each ring polymer, which is capable of overcoming the shortcomings of single-blob approaches that lose their validity at concentrations exceeding the overlap density of the solution [A. Narros, A. J. Moreno, and C. N. Likos, Soft Matter, 2010, 6, 2435]. By means of a first principles coarse-graining strategy based on analytically determined effective pair potentials between the blobs, computed at zero density, we quantitatively reproduce the single molecule and solution properties of a system with well-defined topological constraints. Detailed comparisons with the underlying, monomer-resolved model demonstrate the validity of our approach, which employs fully transferable pair potentials between connected and unconnected blobs. We demonstrate that the pair structure between the centers of mass of the rings is accurately reproduced by the multi-blob approach, thus opening the way for simulation of arbitrarily long polymers. Finally, we show the importance of the topological constraint of non-concatenation on the structure of the concentrated solution and in particular on the size of the correlation hole and the shrinkage of the rings as melt concentrations are approached.
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Affiliation(s)
- Arturo Narros
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090, Vienna, Austria.
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35
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Polanowski P, Jeszka JK, Sikorski A. Dynamic Properties of Linear and Cyclic Chains in Two Dimensions. Computer Simulation Studies. Macromolecules 2014. [DOI: 10.1021/ma500460b] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | | | - Andrzej Sikorski
- Department
of Chemistry, University of Warsaw, Pasteura 1, 02-093, Warsaw, Poland
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36
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37
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Tsubouchi R, Ida D, Yoshizaki T, Yamakawa H. Scattering Function of Wormlike Rings. Macromolecules 2014. [DOI: 10.1021/ma402572k] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
Affiliation(s)
- Ryutaro Tsubouchi
- Department of Polymer Chemistry, Kyoto University, Katsura, Kyoto 615-8510, Japan
| | - Daichi Ida
- Department of Polymer Chemistry, Kyoto University, Katsura, Kyoto 615-8510, Japan
| | - Takenao Yoshizaki
- Department of Polymer Chemistry, Kyoto University, Katsura, Kyoto 615-8510, Japan
| | - Hiromi Yamakawa
- Department of Polymer Chemistry, Kyoto University, Katsura, Kyoto 615-8510, Japan
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38
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Suzuki J, Takano A, Matsushita Y. Chain conformations of ring polymers under theta conditions studied by Monte Carlo simulation. J Chem Phys 2013; 139:184904. [DOI: 10.1063/1.4829046] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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39
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Asano N, Kitamura S, Terao K. Local Conformation and Intermolecular Interaction of Rigid Ring Polymers Are Not Always the Same as the Linear Analogue: Cyclic Amylose Tris(phenylcarbamate) in Θ Solvents. J Phys Chem B 2013; 117:9576-83. [DOI: 10.1021/jp406607w] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- Natsuki Asano
- Department
of Macromolecular
Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan
| | - Shinichi Kitamura
- Graduate School of Life and
Environmental Sciences, Osaka Prefecture University, Gakuen-cho, Nakaku, Sakai, 599-8531, Japan
| | - Ken Terao
- Department
of Macromolecular
Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan
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40
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Terao K, Shigeuchi K, Oyamada K, Kitamura S, Sato T. Solution Properties of a Cyclic Chain Having Tunable Chain Stiffness: Cyclic Amylose Tris(n-butylcarbamate) in Θ and Good Solvents. Macromolecules 2013. [DOI: 10.1021/ma400774r] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Affiliation(s)
- Ken Terao
- Department of Macromolecular Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka,
Osaka 560-0043, Japan
| | - Kazuya Shigeuchi
- Department of Macromolecular Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka,
Osaka 560-0043, Japan
| | - Keiko Oyamada
- Department of Macromolecular Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka,
Osaka 560-0043, Japan
| | - Shinichi Kitamura
- Graduate
School of Life and Environmental Sciences, Osaka Prefecture University, Gakuen-cho, Nakaku, Sakai, 599-8531, Japan
| | - Takahiro Sato
- Department of Macromolecular Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka,
Osaka 560-0043, Japan
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41
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Narros A, Moreno AJ, Likos CN. Effects of Knots on Ring Polymers in Solvents of Varying Quality. Macromolecules 2013; 46:3654-3668. [PMID: 23729865 PMCID: PMC3667624 DOI: 10.1021/ma400308x] [Citation(s) in RCA: 44] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/12/2013] [Revised: 04/03/2013] [Indexed: 11/30/2022]
Abstract
![]()
We employ extensive computer simulations to investigate the conformations
and the interactions of ring polymers under conditions of worsening
solvent quality, in comparison with those for linear polymers. We
determine the dependence of the Θ-temperature on knotedness
by considering ring polymers of different topologies. We establish
a clear decrease of the former upon changing the topology of the polymer
from linear to an unknotted ring and a further decrease of the same
upon introducing trefoil- or 5-fold knots but we find no difference
in the Θ-point between the two knotted molecules. Our results
are based on two independent methods: one considering the scaling
of the gyration radius with molecular weight and one based on the
dependence of the effective interaction on solvent quality. In addition,
we calculate several shape-parameters of the polymers to characterize
linear, unknotted, and knotted topologies in good solvents and in
the proximity of the Θ-point. The shape parameters of the knotted
molecules show an interesting crossover at a degree of polymerization
that depends on the degree of knottedness of the molecule.
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Affiliation(s)
- Arturo Narros
- Faculty of Physics, University of Vienna , Boltzmanngasse 5, A- 1090 Vienna, Austria
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42
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Doi Y, Ohta Y, Nakamura M, Takano A, Takahashi Y, Matsushita Y. Precise Synthesis and Characterization of Tadpole-Shaped Polystyrenes with High Purity. Macromolecules 2013. [DOI: 10.1021/ma302511j] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
Affiliation(s)
- Yuya Doi
- Department of Applied Chemistry,
Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yutaka Ohta
- Department of Applied Chemistry,
Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Masahide Nakamura
- Scientific Instruments Division, Shoko Scientific Co., Ltd., 1-3-3, Azaminominami, Aoba-ku,
Yokohama, Kanagawa. 225-0012, Japan
| | - Atsushi Takano
- Department of Applied Chemistry,
Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yoshiaki Takahashi
- Institute for Materials Chemistry
and Engineering, Kyushu University, 6-1,
Kasuga-koen, Kasuga, Fukuoka 816-8580, Japan
| | - Yushu Matsushita
- Department of Applied Chemistry,
Graduate School of Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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43
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Suzuki J, Takano A, Matsushita Y. Topological constraint in ring polymers under theta conditions studied by Monte Carlo simulation. J Chem Phys 2013; 138:024902. [DOI: 10.1063/1.4773822] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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44
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Baiesi M, Orlandini E. Universal properties of knotted polymer rings. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:031805. [PMID: 23030936 DOI: 10.1103/physreve.86.031805] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/19/2012] [Indexed: 06/01/2023]
Abstract
By performing Monte Carlo sampling of N-steps self-avoiding polygons embedded on different Bravais lattices we explore the robustness of universality in the entropic, metric, and geometrical properties of knotted polymer rings. In particular, by simulating polygons with N up to 10(5) we furnish a sharp estimate of the asymptotic values of the knot probability ratios and show their independence on the lattice type. This universal feature was previously suggested, although with different estimates of the asymptotic values. In addition, we show that the scaling behavior of the mean-squared radius of gyration of polygons depends on their knot type only through its correction to scaling. Finally, as a measure of the geometrical self-entanglement of the self-avoiding polygons we consider the standard deviation of the writhe distribution and estimate its power-law behavior in the large N limit. The estimates of the power exponent do depend neither on the lattice nor on the knot type, strongly supporting an extension of the universality property to some features of the geometrical entanglement.
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Affiliation(s)
- M Baiesi
- Dipartimento di Fisica e Astronomia, Università di Padova, Via Marzolo 8, I-35131 Padova, Italy
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45
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Kawaguchi D, Ohta Y, Takano A, Matsushita Y. Temperature and Molecular Weight Dependence of Mutual Diffusion Coefficient of Cyclic Polystyrene/Cyclic Deuterated Polystyrene Bilayer Films. Macromolecules 2012. [DOI: 10.1021/ma3006872] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Daisuke Kawaguchi
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yutaka Ohta
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Atsushi Takano
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
| | - Yushu Matsushita
- Department
of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan
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46
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47
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Takano A, Ohta Y, Masuoka K, Matsubara K, Nakano T, Hieno A, Itakura M, Takahashi K, Kinugasa S, Kawaguchi D, Takahashi Y, Matsushita Y. Radii of Gyration of Ring-Shaped Polystyrenes with High Purity in Dilute Solutions. Macromolecules 2011. [DOI: 10.1021/ma202031w] [Citation(s) in RCA: 74] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Atsushi Takano
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Yutaka Ohta
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Keisuke Masuoka
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Kazuki Matsubara
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Tomohiro Nakano
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Atsushi Hieno
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Masanao Itakura
- National Metrology
Institute
of Japan, National Institute of Advanced Industrial Science and Technology, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8565,
Japan
| | - Kayori Takahashi
- National Metrology
Institute
of Japan, National Institute of Advanced Industrial Science and Technology, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8565,
Japan
| | - Shinichi Kinugasa
- National Metrology
Institute
of Japan, National Institute of Advanced Industrial Science and Technology, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8565,
Japan
| | - Daisuke Kawaguchi
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
| | - Yoshiaki Takahashi
- Institute for Materials
Chemistry
and Engineering, Kyushu University, 6-1,
Kasuga-koen, Kasuga-city, Fukuoka 816-8580, Japan
| | - Yushu Matsushita
- Department of Applied Chemistry, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603,
Japan
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48
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Suzuki J, Takano A, Matsushita Y. The theta-temperature depression caused by topological effect in ring polymers studied by Monte Carlo simulation. J Chem Phys 2011; 135:204903. [DOI: 10.1063/1.3663383] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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49
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Fuereder I, Zifferer G. Monte Carlo simulation studies of ring polymers at athermal and theta conditions. J Chem Phys 2011; 135:184906. [DOI: 10.1063/1.3659501] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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