1
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Levin M, Tang Y, Eisenbach CD, Valentine MT, Cohen N. Understanding the Response of Poly(ethylene glycol) diacrylate (PEGDA) Hydrogel Networks: A Statistical Mechanics-Based Framework. Macromolecules 2024; 57:7074-7086. [PMID: 39156193 PMCID: PMC11325651 DOI: 10.1021/acs.macromol.3c02635] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2023] [Revised: 05/31/2024] [Accepted: 06/28/2024] [Indexed: 08/20/2024]
Abstract
Thanks to many promising properties, including biocompatibility and the ability to experience large deformations, poly(ethylene glycol) diacrylate (PEGDA) hydrogels are excellent candidate materials for a wide range of applications. Interestingly, the polymerization of PEGDA leads to a network microstructure that is fundamentally different from that of the "classic" polymeric gels. Specifically, PEGDA hydrogels comprise PEG chains that are interconnected by multifunctional densely grafted rod-like polyacrylates (PAs), which serve as cross-linkers. In this work, we derive a microstructurally motivated model that captures the essential features which enable deformation in PEGDA hydrogels: (1) entropic elasticity of PEG chains, (2) deformation of PA rods, and (3) PA-PA interactions. Expressions for the energy-density functions and the stress associated with each of the three contributions are derived. The model demonstrates the microstructural evolution of the network during loading and reveals the role of key microscopic quantities. To validate the model, we fabricate and compress PEGDA hydrogel discs. The model is in excellent agreement with our experimental findings for a broad range of PEGDA compositions. Interestingly, we show that the response of PEGDA hydrogels with short PEG chains and long PA rods is governed by PA-PA interactions, whereas networks with longer PEG chains are dominated by entropy. To enable design, we employ the model to investigate the influence of key microstructural quantities, such as the length of the PEG and the PA chains, on the macroscopic properties and response. The findings from this work pave the way to the efficient design of PEGDA hydrogels with tunable properties and behaviors, which will enable the optimization of their performance in various applications.
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Affiliation(s)
- Michal Levin
- Department
of Materials Science and Engineering, Technion
- Israel Institute of Technology, Haifa 3200003, Israel
| | - Yongkui Tang
- Department
of Mechanical Engineering, University of
California, Santa
Barbara, California 93106, United States
- Materials
Research Laboratory, University of California, Santa Barbara, California 93106, United States
| | - Claus D. Eisenbach
- Materials
Research Laboratory, University of California, Santa Barbara, California 93106, United States
- Institut
for Polymerchemie, University of Stuttgart, Stuttgart D-70569, Germany
| | - Megan T. Valentine
- Department
of Mechanical Engineering, University of
California, Santa
Barbara, California 93106, United States
- Materials
Research Laboratory, University of California, Santa Barbara, California 93106, United States
| | - Noy Cohen
- Department
of Materials Science and Engineering, Technion
- Israel Institute of Technology, Haifa 3200003, Israel
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2
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Patel BB, Pan T, Chang Y, Walsh DJ, Kwok JJ, Park KS, Patel K, Guironnet D, Sing CE, Diao Y. Concentration-Driven Self-Assembly of PS- b-PLA Bottlebrush Diblock Copolymers in Solution. ACS POLYMERS AU 2022; 2:232-244. [PMID: 35971423 PMCID: PMC9372993 DOI: 10.1021/acspolymersau.1c00057] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
![]()
Bottlebrush polymers
are a class of semiflexible, hierarchical
macromolecules with unique potential for shape-, architecture-, and
composition-based structure–property design. It is now well-established
that in dilute to semidilute solution, bottlebrush homopolymers adopt
a wormlike conformation, which decreases in extension (persistence
length) as the concentration and molecular overlap increase. By comparison,
the solution phase self-assembly of bottlebrush diblock copolymers
(BBCP) in a good solvent remains poorly understood, despite critical
relevance for solution processing of ordered phases and photonic crystals.
In this work, we combine small-angle X-ray scattering, coarse-grained
simulation, and polymer synthesis to map the equilibrium phase behavior
and conformation of a set of large, nearly symmetric PS-b-PLA bottlebrush diblock copolymers in toluene. Three BBCP are synthesized,
with side chains of number-averaged molecular weights of 4500 (PS)
and 4200 g/mol (PLA) and total backbone degrees of polymerization
of 100, 255, and 400 repeat units. The grafting density is one side
chain per backbone repeat unit. With increasing concentration in solution,
all three polymers progress through a similar structural transition:
from dispersed, wormlike chains with concentration-dependent (decreasing)
extension, through the onset of disordered PS/PLA compositional fluctuations,
to the formation of a long-range ordered lamellar phase. With increasing
concentration in the microphase-separated regimes, the domain spacing
increases as individual chains partially re-extend due to block immiscibility.
Increases in the backbone degree of polymerization lead to changes
in the scattering profiles which are consistent with the increased
segregation strength. Coarse-grained simulations using an implicit
side-chain model are performed, and concentration-dependent self-assembly
behavior is qualitatively matched to experiments. Finally, using the
polymer with the largest backbone length, we demonstrate that lamellar
phases develop a well-defined photonic band gap in solution, which
can be tuned across the visible spectrum by varying polymer concentration.
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Affiliation(s)
- Bijal B. Patel
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, 600 South Mathews Avenue, Urbana, Illinois 61801, United States
| | - Tianyuan Pan
- Department of Materials Science and Engineering, University of Illinois at Urbana−Champaign, 1304 W. Green Street, Urbana, Illinois 61801, United States
| | - Yilong Chang
- Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 W. Green St., MC 244, Urbana, Illinois 61801, United States
| | - Dylan J. Walsh
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, 600 South Mathews Avenue, Urbana, Illinois 61801, United States
| | - Justin J. Kwok
- Department of Materials Science and Engineering, University of Illinois at Urbana−Champaign, 1304 W. Green Street, Urbana, Illinois 61801, United States
| | - Kyung Sun Park
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, 600 South Mathews Avenue, Urbana, Illinois 61801, United States
| | - Kush Patel
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, 600 South Mathews Avenue, Urbana, Illinois 61801, United States
| | - Damien Guironnet
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, 600 South Mathews Avenue, Urbana, Illinois 61801, United States
| | - Charles E. Sing
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, 600 South Mathews Avenue, Urbana, Illinois 61801, United States
| | - Ying Diao
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, 600 South Mathews Avenue, Urbana, Illinois 61801, United States
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3
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Kang JJ, Sachse C, Ko CH, Schroer MA, Vela SD, Molodenskiy D, Kohlbrecher J, Bushuev NV, Gumerov RA, Potemkin II, Jordan R, Papadakis CM. Rigid-to-Flexible Transition in a Molecular Brush in a Good Solvent at a Semidilute Concentration. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2022; 38:5226-5236. [PMID: 35166545 DOI: 10.1021/acs.langmuir.1c02589] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
The structures of a molecular brush in a good solvent are investigated using synchrotron small-angle X-ray scattering in a wide range of concentrations. The brush under study, PiPOx239-g-PnPrOx14, features a relatively long poly(2-isopropenyl-2-oxazoline) (PiPOx) backbone and short poly(2-n-propyl-2-oxazoline) (PnPrOx) side chains. As a solvent, ethanol is used. By model fitting, the overall size and the persistence length as well as the interaction length and interaction strength are determined. At this, the interplay between form and structure factor is taken into account. The conformation of the molecular brush is traced upon increasing the solution concentration, and a rigid-to-flexible transition is found near the overlap concentration. Finally, the results of computer simulations of the molecular brush solutions confirm the experimental results.
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Affiliation(s)
- Jia-Jhen Kang
- Fachgebiet Physik weicher Materie, Physik-Department, Technische Universität München, James-Franck-Straße 1, 85748 Garching, Germany
| | - Clemens Sachse
- Professur für Makromolekulare Chemie, Fakultät Chemie und Lebensmittelchemie, Technische Universität Dresden, Mommsenstraße 4, 01069 Dresden, Germany
| | - Chia-Hsin Ko
- Fachgebiet Physik weicher Materie, Physik-Department, Technische Universität München, James-Franck-Straße 1, 85748 Garching, Germany
| | - Martin A Schroer
- European Molecular Biology Laboratory, Hamburg Outstation, c/o Deutsches Elektronen-Synchrotron, Notkestr. 85, 22607 Hamburg, Germany
| | - Stefano Da Vela
- European Molecular Biology Laboratory, Hamburg Outstation, c/o Deutsches Elektronen-Synchrotron, Notkestr. 85, 22607 Hamburg, Germany
| | - Dmitry Molodenskiy
- European Molecular Biology Laboratory, Hamburg Outstation, c/o Deutsches Elektronen-Synchrotron, Notkestr. 85, 22607 Hamburg, Germany
| | - Joachim Kohlbrecher
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, Forschungsstr. 111, 5232 Villigen PSI, Switzerland
| | - Nikita V Bushuev
- Physics Department, Lomonosov Moscow State University, Moscow 119991, Russian Federation
| | - Rustam A Gumerov
- Physics Department, Lomonosov Moscow State University, Moscow 119991, Russian Federation
| | - Igor I Potemkin
- Physics Department, Lomonosov Moscow State University, Moscow 119991, Russian Federation
- National Research South Ural State University, Chelyabinsk 454080, Russian Federation
| | - Rainer Jordan
- Professur für Makromolekulare Chemie, Fakultät Chemie und Lebensmittelchemie, Technische Universität Dresden, Mommsenstraße 4, 01069 Dresden, Germany
| | - Christine M Papadakis
- Fachgebiet Physik weicher Materie, Physik-Department, Technische Universität München, James-Franck-Straße 1, 85748 Garching, Germany
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4
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Sarapas JM, Martin TB, Chremos A, Douglas JF, Beers KL. Bottlebrush polymers in the melt and polyelectrolytes in solution share common structural features. Proc Natl Acad Sci U S A 2020; 117:5168-5175. [PMID: 32094183 PMCID: PMC7071916 DOI: 10.1073/pnas.1916362117] [Citation(s) in RCA: 23] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
Abstract
Uncharged bottlebrush polymer melts and highly charged polyelectrolytes in solution exhibit correlation peaks in scattering measurements and simulations. Given the striking superficial similarities of these scattering features, there may be a deeper structural interrelationship in these chemically different classes of materials. Correspondingly, we constructed a library of isotopically labeled bottlebrush molecules and measured the bottlebrush correlation peak position [Formula: see text] by neutron scattering and in simulations. We find that the correlation length scales with the backbone concentration, [Formula: see text], in striking accord with the scaling of ξ with polymer concentration cP in semidilute polyelectrolyte solutions [Formula: see text] The bottlebrush correlation peak broadens with decreasing grafting density, similar to increasing salt concentration in polyelectrolyte solutions. ξ also scales with sidechain length to a power in the range of 0.35-0.44, suggesting that the sidechains are relatively collapsed in comparison to the bristlelike configurations often imagined for bottlebrush polymers.
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Affiliation(s)
- Joel M Sarapas
- Materials Measurement Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899
| | - Tyler B Martin
- Materials Measurement Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899
| | - Alexandros Chremos
- Materials Measurement Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899
| | - Jack F Douglas
- Materials Measurement Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899
| | - Kathryn L Beers
- Materials Measurement Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899
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5
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Sunday DF, Chremos A, Martin TB, Chang AB, Burns AB, Grubbs RH. The Concentration Dependence of the Size and Symmetry of a Bottlebrush Polymer in a Good Solvent. Macromolecules 2020; 53:7132-7140. [PMID: 34121772 PMCID: PMC8194097 DOI: 10.1021/acs.macromol.0c01181] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
Abstract
Bottlebrush polymers consist of a linear backbone with densely grafted side chains which impact the rigidity of the molecule. The persistence length of the bottlebrush backbone in solution is influenced by both the intrinsic structure of the polymer and by the local environment, such as the solvent quality and concentration. Increasing the concentration reduces the overall size of the molecule due to the reduction in backbone stiffness. In this study we map out the size of a bottlebrush polymer as a function of concentration for a single backbone length. Small-angle neutron scattering (SANS) measurements are conducted on a polynorbornene-based bottlebrush with polystyrene side chains in a good solvent. The data are fit using a model which provides both the long and short axis radius of gyration (R g,2 and R g,1, respectively), providing a measure for how the conformation changes as a function of concentration. At low concentrations a highly anisotropic structure is observed (R g,2/R g,1 ≈ 4), becoming more isotropic at higher concentrations (R g,2/R g,1 ≈ 1.5). The concentration scaling for both R g,2 and the overall R g are evaluated and compared with predictions in the literature. Coarse-grained molecular dynamics simulations were also conducted to probe the impact of concentration on bottlebrush conformation showing qualitative agreement with the experimental results.
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Affiliation(s)
- Daniel F. Sunday
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, United States
| | - Alexandros Chremos
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, United States
| | - Tyler B. Martin
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, United States
| | - Alice B. Chang
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, United States
| | - Adam B. Burns
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, United States
| | - Robert H. Grubbs
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, United States
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6
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Sunday DF, Martin TB, Chang AB, Burns AB, Grubbs RH. Addressing the challenges of modeling the scattering from bottlebrush polymers in solution. JOURNAL OF POLYMER SCIENCE 2020; 58:10.1002/pol.20190289. [PMID: 33305292 PMCID: PMC7724922 DOI: 10.1002/pol.20190289] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2019] [Accepted: 02/02/2020] [Indexed: 12/17/2022]
Abstract
Small-angle scattering measurements of complex macromolecules in solution are used to establish relationships between chemical structure and conformational properties. Interpretation of the scattering data requires an inverse approach where a model is chosen and the simulated scattering intensity from that model is iterated to match the experimental scattering intensity. This raises challenges in the case where the model is an imperfect approximation of the underlying structure, or where there are significant correlations between model parameters. We examine three bottlebrush polymers (consisting of polynorbornene backbone and polystyrene side chains) in a good solvent using a model commonly applied to this class of polymers: the flexible cylinder model. Applying a series of constrained Monte-Carlo Markov Chain analyses demonstrates the severity of the correlations between key parameters and the presence of multiple close minima in the goodness of fit space. We demonstrate that a shape-agnostic model can fit the scattering with significantly reduced parameter correlations and less potential for complex, multimodal parameter spaces. We provide recommendations to improve the analysis of complex macromolecules in solution, highlighting the value of Bayesian methods. This approach provides richer information for understanding parameter sensitivity compared to methods which produce a single, best fit.
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Affiliation(s)
- Daniel F. Sunday
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, Maryland
| | - Tyler B. Martin
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, Maryland
| | - Alice B. Chang
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California
| | - Adam B. Burns
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, Maryland
| | - Robert H. Grubbs
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California
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7
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Jiang L, Nykypanchuk D, Pastore VJ, Rzayev J. Morphological Behavior of Compositionally Gradient Polystyrene–Polylactide Bottlebrush Copolymers. Macromolecules 2019. [DOI: 10.1021/acs.macromol.9b01756] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Affiliation(s)
- Liuyin Jiang
- Department of Chemistry, University at Buffalo, The State University of New York, Buffalo, New York 14260-3000, United States
| | - Dmytro Nykypanchuk
- Center for Functional Nanomaterials, Brookhaven National Laboratory, Upton, New York 11973, United States
| | - Vincent J. Pastore
- Department of Chemistry, University at Buffalo, The State University of New York, Buffalo, New York 14260-3000, United States
| | - Javid Rzayev
- Department of Chemistry, University at Buffalo, The State University of New York, Buffalo, New York 14260-3000, United States
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8
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Lyubimov I, Wessels MG, Jayaraman A. Molecular Dynamics Simulation and PRISM Theory Study of Assembly in Solutions of Amphiphilic Bottlebrush Block Copolymers. Macromolecules 2018. [DOI: 10.1021/acs.macromol.8b01535] [Citation(s) in RCA: 39] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Ivan Lyubimov
- Department of Chemical and Biomolecular Engineering, 150 Academy Street, Colburn Laboratory, Newark, Delaware 19716, United States
| | - Michiel G. Wessels
- Department of Chemical and Biomolecular Engineering, 150 Academy Street, Colburn Laboratory, Newark, Delaware 19716, United States
| | - Arthi Jayaraman
- Department of Chemical and Biomolecular Engineering, 150 Academy Street, Colburn Laboratory, Newark, Delaware 19716, United States
- Department of Materials Science and Engineering, University of Delaware, Newark, Delaware 19716, United States
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9
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Martin TB, Gartner TE, Jones RL, Snyder CR, Jayaraman A. pyPRISM: A Computational Tool for Liquid-State Theory Calculations of Macromolecular Materials. Macromolecules 2018. [DOI: 10.1021/acs.macromol.8b00011] [Citation(s) in RCA: 31] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
- Tyler B. Martin
- National Institute
of Standards and Technology, Gaithersburg, Maryland 20899, United States
| | | | - Ronald L. Jones
- National Institute
of Standards and Technology, Gaithersburg, Maryland 20899, United States
| | - Chad R. Snyder
- National Institute
of Standards and Technology, Gaithersburg, Maryland 20899, United States
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10
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Rocha MS, Storm IM, Bazoni RF, Ramos ÉB, Hernandez-Garcia A, Cohen Stuart MA, Leermakers F, de Vries R. Force and Scale Dependence of the Elasticity of Self-Assembled DNA Bottle Brushes. Macromolecules 2018; 51:204-212. [PMID: 29339838 PMCID: PMC5763285 DOI: 10.1021/acs.macromol.7b01795] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/19/2017] [Revised: 12/13/2017] [Indexed: 11/30/2022]
Abstract
![]()
As a model system
to study the elasticity of bottle-brush polymers,
we here introduce self-assembled DNA bottle brushes, consisting of
a DNA main chain that can be very long and still of precisely defined
length, and precisely monodisperse polypeptide side chains that are
physically bound to the DNA main chains. Polypeptide side chains have
a diblock architecture, where one block is a small archaeal nucleoid
protein Sso7d that strongly binds to DNA. The other block is a net
neutral, hydrophilic random coil polypeptide with a length of exactly
798 amino acids. Light scattering shows that for saturated brushes
the grafting density is one side chain per 5.6 nm of DNA main chain.
According to small-angle X-ray scattering, the brush diameter is D = 17 nm. By analyzing configurations of adsorbed DNA bottle
brushes using AFM, we find that the effective persistence of the saturated
DNA bottle brushes is Peff = 95 nm, but
from force–extension curves of single DNA bottle brushes measured
using optical tweezers we find Peff =
15 nm. The latter is equal to the value expected for DNA coated by
the Sso7d binding block alone. The apparent discrepancy between the
two measurements is rationalized in terms of the scale dependence
of the bottle-brush elasticity using theory previously developed to
analyze the scale-dependent electrostatic stiffening of DNA at low
ionic strengths.
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Affiliation(s)
- Márcio Santos Rocha
- Laboratório de Física Biológica, Departamento de Física, Universidade Federal de Viçosa Viçosa, Minas Gerais, Brazil
| | - Ingeborg M Storm
- Physical Chemistry and Soft Matter, Wageningen University, Stippeneng 4, 6708 WE Wageningen, The Netherlands
| | - Raniella Falchetto Bazoni
- Laboratório de Física Biológica, Departamento de Física, Universidade Federal de Viçosa Viçosa, Minas Gerais, Brazil
| | - Ésio Bessa Ramos
- Laboratório de Física Biológica, Departamento de Física, Universidade Federal de Viçosa Viçosa, Minas Gerais, Brazil
| | - Armando Hernandez-Garcia
- Departamento de Química de Biomacromoleculas, Instituto de Química, Universidad Nacional Autónoma de México, México City, México
| | - Martien A Cohen Stuart
- Physical Chemistry and Soft Matter, Wageningen University, Stippeneng 4, 6708 WE Wageningen, The Netherlands
| | - Frans Leermakers
- Physical Chemistry and Soft Matter, Wageningen University, Stippeneng 4, 6708 WE Wageningen, The Netherlands
| | - Renko de Vries
- Physical Chemistry and Soft Matter, Wageningen University, Stippeneng 4, 6708 WE Wageningen, The Netherlands
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11
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Paturej J, Kreer T. Hierarchical excluded volume screening in solutions of bottlebrush polymers. SOFT MATTER 2017; 13:8534-8541. [PMID: 29095470 DOI: 10.1039/c7sm01968h] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Polymer bottlebrushes provide intriguing features being relevant both in nature and in synthetic systems. While their presence in the articular cartilage optimizes synovial joint lubrication, bottlebrushes offer pathways for fascinating applications, such as within super-soft elastomers or for drug delivery. However, the current theoretical understanding lacks completeness, primarily due to the complicated interplay of many length scales. Herein, we develop an analytical model that demonstrates how structural properties of bottlebrushes depend on the concentration, ranging from dilute solutions to highly concentrated melts. The validity of our model is supported by data from extensive molecular dynamics simulations. We demonstrate that the hierarchical structure of bottlebrushes dictates a sequence of conformational changes as the solution concentration increases. The effect is mediated by screening of excluded volume interactions at subsequent structural parts of the bottlebrushes. Our findings provide important insights that should enable improved customization of novel materials based on the architectural design of polymer bottlebrushes.
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Affiliation(s)
- Jarosław Paturej
- Leibniz-Institut für Polymerforschung Dresden e.V., 01069 Dresden, Germany
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12
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Chatterjee D, Vilgis TA. Scaling Laws of Bottle-Brush Polymers in Dilute Solutions. MACROMOL THEOR SIMUL 2016. [DOI: 10.1002/mats.201600074] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Debarati Chatterjee
- Max-Planck Institut für Polymerforschung; Ackermannweg 10 55128 Mainz Germany
| | - Thomas A. Vilgis
- Max-Planck Institut für Polymerforschung; Ackermannweg 10 55128 Mainz Germany
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13
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Pesek SL, Xiang Q, Hammouda B, Verduzco R. Small-angle neutron scattering analysis of bottlebrush backbone and side chain flexibility. ACTA ACUST UNITED AC 2016. [DOI: 10.1002/polb.24251] [Citation(s) in RCA: 39] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Affiliation(s)
- Stacy L. Pesek
- Department of Chemical and Biomolecular Engineering; Rice University; 6100 Main Street MS-362 Houston Texas 77005
- Nanosystems Engineering Research Center for Nanotechnology-Enabled Water Treatment; Rice University; 6100 Main Street MS-362 Houston Texas 77005
| | - Qiqi Xiang
- Department of Chemical and Biomolecular Engineering; Rice University; 6100 Main Street MS-362 Houston Texas 77005
| | - Boualem Hammouda
- National Institutes for of Standards and Technology, Center for Neutron Research; 100 Bureau Drive, Stop 6102 Gaithersburg Maryland 20899-6102
| | - Rafael Verduzco
- Department of Chemical and Biomolecular Engineering; Rice University; 6100 Main Street MS-362 Houston Texas 77005
- Nanosystems Engineering Research Center for Nanotechnology-Enabled Water Treatment; Rice University; 6100 Main Street MS-362 Houston Texas 77005
- Department of Materials Science and NanoEngineering; Rice University; 6100 Main Street MS-325 Houston Texas 77005
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14
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Dutertre F, Bang KT, Loppinet B, Choi I, Choi TL, Fytas G. Structure and Dynamics of Dendronized Polymer Solutions: Gaussian Coil or Macromolecular Rod? Macromolecules 2016. [DOI: 10.1021/acs.macromol.6b00420] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Affiliation(s)
- Fabien Dutertre
- Institute of Electronic
Structure and Laser, FORTH, P.O. Box 1527, 71110 Heraklion, Greece
| | - Ki-Taek Bang
- Department
of Chemistry, Seoul National University, Gwanak-ro 1, Gwanak-gu, Seoul 151-747, Republic of Korea
| | - Benoit Loppinet
- Institute of Electronic
Structure and Laser, FORTH, P.O. Box 1527, 71110 Heraklion, Greece
| | - Inho Choi
- Department
of Chemistry, Seoul National University, Gwanak-ro 1, Gwanak-gu, Seoul 151-747, Republic of Korea
| | - Tae-Lim Choi
- Department
of Chemistry, Seoul National University, Gwanak-ro 1, Gwanak-gu, Seoul 151-747, Republic of Korea
| | - George Fytas
- Institute of Electronic
Structure and Laser, FORTH, P.O. Box 1527, 71110 Heraklion, Greece
- Max Planck Institute
for Polymer Research, Ackermannweg
10, 55128, Mainz, Germany
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15
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Zhang Z, Carrillo JMY, Ahn SK, Wu B, Hong K, Smith GS, Do C. Atomistic Structure of Bottlebrush Polymers: Simulations and Neutron Scattering Studies. Macromolecules 2014. [DOI: 10.1021/ma500613c] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
Affiliation(s)
| | | | | | - Bin Wu
- Department
of Physics and Astronomy, Joint Institute for Neutron Science, University of Tennessee, Knoxville, Tennessee 37996, United States
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16
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Deng Y, Hu Q, Yuan Q, Wu Y, Ling Y, Tang H. One-Pot Synthesis of Molecular Bottle-Brush Functionalized Single-Walled Carbon Nanotubes with Superior Dispersibility in Water. Macromol Rapid Commun 2013; 35:97-102. [DOI: 10.1002/marc.201300673] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/30/2013] [Revised: 10/29/2013] [Indexed: 12/14/2022]
Affiliation(s)
- Yong Deng
- Key Laboratory of Polymeric Materials and Application Technology of Hunan Province, Key Laboratory of Advanced Functional Polymer Materials of Colleges and Universities of Hunan Province; College of Chemistry, Xiangtan University; Xiangtan Hunan 411105 China
| | - Qin Hu
- Key Laboratory of Polymeric Materials and Application Technology of Hunan Province, Key Laboratory of Advanced Functional Polymer Materials of Colleges and Universities of Hunan Province; College of Chemistry, Xiangtan University; Xiangtan Hunan 411105 China
| | - Qiulin Yuan
- Key Laboratory of Polymeric Materials and Application Technology of Hunan Province, Key Laboratory of Advanced Functional Polymer Materials of Colleges and Universities of Hunan Province; College of Chemistry, Xiangtan University; Xiangtan Hunan 411105 China
| | - Yan Wu
- Key Laboratory of Polymeric Materials and Application Technology of Hunan Province, Key Laboratory of Advanced Functional Polymer Materials of Colleges and Universities of Hunan Province; College of Chemistry, Xiangtan University; Xiangtan Hunan 411105 China
| | - Ying Ling
- Key Laboratory of Polymeric Materials and Application Technology of Hunan Province, Key Laboratory of Advanced Functional Polymer Materials of Colleges and Universities of Hunan Province; College of Chemistry, Xiangtan University; Xiangtan Hunan 411105 China
| | - Haoyu Tang
- Key Laboratory of Polymeric Materials and Application Technology of Hunan Province, Key Laboratory of Advanced Functional Polymer Materials of Colleges and Universities of Hunan Province; College of Chemistry, Xiangtan University; Xiangtan Hunan 411105 China
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17
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Elder RM, Jayaraman A. Coarse-Grained Simulation Studies of Effects of Polycation Architecture on Structure of the Polycation and Polycation–Polyanion Complexes. Macromolecules 2012. [DOI: 10.1021/ma3011944] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]
Affiliation(s)
- Robert M. Elder
- Department of Chemical and Biological
Engineering, University of Colorado, 3415
Colorado Avenue, UCB 596,
Boulder, Colorado 80303, United States
| | - Arthi Jayaraman
- Department of Chemical and Biological
Engineering, University of Colorado, 3415
Colorado Avenue, UCB 596,
Boulder, Colorado 80303, United States
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18
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Bolisetty S, Harnau L, Jung JM, Mezzenga R. Gelation, Phase Behavior, and Dynamics of β-Lactoglobulin Amyloid Fibrils at Varying Concentrations and Ionic Strengths. Biomacromolecules 2012; 13:3241-52. [DOI: 10.1021/bm301005w] [Citation(s) in RCA: 83] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Sreenath Bolisetty
- ETH Zurich, Food
and Soft Materials Laboratory, Department of Health Science
and Technology, Schmelzbergstrasse 9, LFO-E22, CH-8092 Zurich, Switzerland
| | - Ludger Harnau
- Max-Planck-Institut für Intelligente Systeme, Heisenbergstrasse 3,
70569 Stuttgart, Germany, and Institut für Theoretische und
Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57,
70569 Stuttgart, Germany
| | - Jin-mi Jung
- Department of Physics, University of Fribourg, Ch. Musée 3, CH-1700
Fribourg, Switzerland
| | - Raffaele Mezzenga
- ETH Zurich, Food
and Soft Materials Laboratory, Department of Health Science
and Technology, Schmelzbergstrasse 9, LFO-E22, CH-8092 Zurich, Switzerland
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Abstract
Abstract
The influence of dilute impurities on the structure of a fluid solvent is investigated theoretically. General arguments, which do not rely on particular models, are used to derive an extension of the Ornstein–Zernike form for the solvent structure factor at small scattering vectors. It is shown that dilute impurities can influence the solvent structure only if they are composed of ions with significantly different sizes. Non-ionic impurities or ions of similar size are shown to not alter the solvent structure qualitatively. This picture is compatible with available experimental data. The derived form of the solvent structure factor is expected to be useful to infer information on the impurity-solvent interactions form measured scattering intensities.
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Affiliation(s)
- Markus Bier
- Max-Planck-Institut für Intelligente Systeme, Stuttgart, Deutschland
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20
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Cao Q, Zuo C, Li L, Zhang Y. Electrophoresis of Bottle-Brush Polyelectrolytes in an Attractive Nanochannel. MACROMOL THEOR SIMUL 2012. [DOI: 10.1002/mats.201100121] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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21
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Grigoriadis C, Nese A, Matyjaszewski K, Pakula T, Butt HJ, Floudas G. Dynamic Homogeneity by Architectural Design - Bottlebrush Polymers. MACROMOL CHEM PHYS 2012. [DOI: 10.1002/macp.201200064] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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22
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23
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Theodorakis PE, Hsu HP, Paul W, Binder K. Computer simulation of bottle-brush polymers with flexible backbone: Good solvent versus theta solvent conditions. J Chem Phys 2011; 135:164903. [DOI: 10.1063/1.3656072] [Citation(s) in RCA: 63] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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24
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Hsu HP, Paul W, Binder K. Understanding the Multiple Length Scales Describing the Structure of Bottle-brush Polymers by Monte Carlo Simulation Methods. MACROMOL THEOR SIMUL 2011. [DOI: 10.1002/mats.201000092] [Citation(s) in RCA: 55] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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25
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Tang H, Li Y, Lahasky SH, Sheiko SS, Zhang D. Core−Shell Molecular Bottlebrushes with Helical Polypeptide Backbone: Synthesis, Characterization, and Solution Conformations. Macromolecules 2011. [DOI: 10.1021/ma1025994] [Citation(s) in RCA: 86] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Haoyu Tang
- Department of Chemistry and Macromolecular Studies Group, Louisiana State University, Baton Rouge, Louisiana 70803, United States
| | - Yuanchao Li
- Department of Chemistry, University of North Carolina at Chapel Hill, North Carolina 27599-3290, United States
| | - Samuel H. Lahasky
- Department of Chemistry and Macromolecular Studies Group, Louisiana State University, Baton Rouge, Louisiana 70803, United States
| | - Sergei S. Sheiko
- Department of Chemistry, University of North Carolina at Chapel Hill, North Carolina 27599-3290, United States
| | - Donghui Zhang
- Department of Chemistry and Macromolecular Studies Group, Louisiana State University, Baton Rouge, Louisiana 70803, United States
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26
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Zettl U, Ballauff M, Harnau L. A fluorescence correlation spectroscopy study of macromolecular tracer diffusion in polymer solutions. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2010; 22:494111. [PMID: 21406777 DOI: 10.1088/0953-8984/22/49/494111] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
We discuss the manner in which the dynamics of tracer polystyrene chains varies with the concentration of matrix polystyrene chains dissolved in toluene. Using fluorescence correlation spectroscopy and theory, it is shown that the cooperative diffusion coefficient of the matrix polystyrene chains can be measured by fluorescence correlation spectroscopy in the semidilute entangled concentration regime. In addition the self-diffusion coefficient of the tracer polystyrene chains can be detected for arbitrary concentrations. The measured cooperative diffusion coefficient is independent of the molecular weight of the tracer polystyrene chains because it is a characteristic feature of the transient entanglement network.
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Affiliation(s)
- Ute Zettl
- Physikalische Chemie I, University of Bayreuth, 95440 Bayreuth, Germany
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27
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Cao Q, Zuo C, Li L, Zhang N. Conformational Behavior of Bottle-Brush Polyelectrolytes with Charged and Neutral Side Chains. MACROMOL THEOR SIMUL 2010. [DOI: 10.1002/mats.200900088] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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28
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Gromadzki D, Jigounov A, Štĕpánek P, Makuška R. Synthesis of thermally responsive cylindrical molecular brushes via a combination of nitroxide-mediated radical polymerization and “grafting onto” strategy. Eur Polym J 2010. [DOI: 10.1016/j.eurpolymj.2009.12.015] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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29
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Hsu HP, Paul W, Binder K. Standard Definitions of Persistence Length Do Not Describe the Local “Intrinsic” Stiffness of Real Polymer Chains. Macromolecules 2010. [DOI: 10.1021/ma902715e] [Citation(s) in RCA: 164] [Impact Index Per Article: 11.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Hsiao-Ping Hsu
- Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, D-55099 Mainz, Germany
| | - Wolfgang Paul
- Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, D-55099 Mainz, Germany
- Theoretische Physik, Martin Luther Universität Halle-Wittenberg, von Senckendorffplatz 1, 06120 Halle, Germany
| | - Kurt Binder
- Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, D-55099 Mainz, Germany
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30
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Hsu HP, Paul W, Rathgeber S, Binder K. Characteristic Length Scales and Radial Monomer Density Profiles of Molecular Bottle-Brushes: Simulation and Experiment. Macromolecules 2010. [DOI: 10.1021/ma902101n] [Citation(s) in RCA: 82] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Hsiao-Ping Hsu
- Institut für Physik, Johannes Gutenberg-Universität Mainz D-55099 Mainz, Staudinger Weg 7, Germany
| | - Wolfgang Paul
- Institut für Physik, Johannes Gutenberg-Universität Mainz D-55099 Mainz, Staudinger Weg 7, Germany
| | - Silke Rathgeber
- Institut für Physik, Johannes Gutenberg-Universität Mainz D-55099 Mainz, Staudinger Weg 7, Germany
| | - Kurt Binder
- Institut für Physik, Johannes Gutenberg-Universität Mainz D-55099 Mainz, Staudinger Weg 7, Germany
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31
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Zettl U, Hoffmann ST, Koberling F, Krausch G, Enderlein J, Harnau L, Ballauff M. Self-Diffusion and Cooperative Diffusion in Semidilute Polymer Solutions As Measured by Fluorescence Correlation Spectroscopy. Macromolecules 2009. [DOI: 10.1021/ma901404g] [Citation(s) in RCA: 71] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Ute Zettl
- Physikalische Chemie I, University of Bayreuth, D-95440 Bayreuth, Germany
| | | | | | | | - Jörg Enderlein
- Institute of Physics, Georg August University, D-37077 Göttingen, Germany
| | - Ludger Harnau
- Max-Planck-Institut für Metallforschung, Heisenbergstrasse 3, D-70569 Stuttgart, Germany
- Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
| | - Matthias Ballauff
- Soft Matter and Functional Materials, Helmholtz-Zentrum Berlin, 14109 Berlin, Germany
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32
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Single-molecular hybrid nano-cylinders: Attaching polyhedral oligomeric silsesquioxane covalently to poly(glycidyl methacrylate) cylindrical brushes. POLYMER 2009. [DOI: 10.1016/j.polymer.2009.10.029] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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33
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Košovan P, Kuldová J, Limpouchová Z, Procházka K, Zhulina EB, Borisov OV. Amphiphilic Graft Copolymers in Selective Solvents: Molecular Dynamics Simulations and Scaling Theory. Macromolecules 2009. [DOI: 10.1021/ma900768p] [Citation(s) in RCA: 61] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Peter Košovan
- Department of Physical and Macromolecular Chemistry, Faculty of Science, Charles University in Prague, Hlavova 8, 128 43 Prague, Czech Republic
| | - Jitka Kuldová
- Department of Physical and Macromolecular Chemistry, Faculty of Science, Charles University in Prague, Hlavova 8, 128 43 Prague, Czech Republic
| | - Zuzana Limpouchová
- Department of Physical and Macromolecular Chemistry, Faculty of Science, Charles University in Prague, Hlavova 8, 128 43 Prague, Czech Republic
| | - Karel Procházka
- Department of Physical and Macromolecular Chemistry, Faculty of Science, Charles University in Prague, Hlavova 8, 128 43 Prague, Czech Republic
| | - Ekaterina B. Zhulina
- Institute of Macromolecular Compounds, Russian Academy of Sciences, 199004 St. Petersburg, Russia
| | - Oleg V. Borisov
- Institute of Macromolecular Compounds, Russian Academy of Sciences, 199004 St. Petersburg, Russia
- Institut Pluridisciplinaire de Recherche sur l’Environnement et les Matériaux, UMR 5254, UPPA CNRS, 64053, Pau, France
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34
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Guo Y, van Beek JD, Zhang B, Colussi M, Walde P, Zhang A, Kröger M, Halperin A, Dieter Schlüter A. Tuning Polymer Thickness: Synthesis and Scaling Theory of Homologous Series of Dendronized Polymers. J Am Chem Soc 2009; 131:11841-54. [DOI: 10.1021/ja9032132] [Citation(s) in RCA: 125] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Yifei Guo
- Department of Materials, Institute of Polymers, Swiss Federal Institute of Technology, ETH Zurich, HCI J 541, 8093 Zurich, Switzerland, Department of Chemistry and Applied Biological Sciences, Swiss Federal Institute of Technology, ETH Zurich, 8093 Zurich, Switzerland, and Laboratoire de Spectrométrie Physique (LSP) CNRS Université Joseph Fourier, BP 87, 38402 Saint Martin d’Hères cedex, France
| | - Jacco D. van Beek
- Department of Materials, Institute of Polymers, Swiss Federal Institute of Technology, ETH Zurich, HCI J 541, 8093 Zurich, Switzerland, Department of Chemistry and Applied Biological Sciences, Swiss Federal Institute of Technology, ETH Zurich, 8093 Zurich, Switzerland, and Laboratoire de Spectrométrie Physique (LSP) CNRS Université Joseph Fourier, BP 87, 38402 Saint Martin d’Hères cedex, France
| | - Baozhong Zhang
- Department of Materials, Institute of Polymers, Swiss Federal Institute of Technology, ETH Zurich, HCI J 541, 8093 Zurich, Switzerland, Department of Chemistry and Applied Biological Sciences, Swiss Federal Institute of Technology, ETH Zurich, 8093 Zurich, Switzerland, and Laboratoire de Spectrométrie Physique (LSP) CNRS Université Joseph Fourier, BP 87, 38402 Saint Martin d’Hères cedex, France
| | - Martin Colussi
- Department of Materials, Institute of Polymers, Swiss Federal Institute of Technology, ETH Zurich, HCI J 541, 8093 Zurich, Switzerland, Department of Chemistry and Applied Biological Sciences, Swiss Federal Institute of Technology, ETH Zurich, 8093 Zurich, Switzerland, and Laboratoire de Spectrométrie Physique (LSP) CNRS Université Joseph Fourier, BP 87, 38402 Saint Martin d’Hères cedex, France
| | - Peter Walde
- Department of Materials, Institute of Polymers, Swiss Federal Institute of Technology, ETH Zurich, HCI J 541, 8093 Zurich, Switzerland, Department of Chemistry and Applied Biological Sciences, Swiss Federal Institute of Technology, ETH Zurich, 8093 Zurich, Switzerland, and Laboratoire de Spectrométrie Physique (LSP) CNRS Université Joseph Fourier, BP 87, 38402 Saint Martin d’Hères cedex, France
| | - Afang Zhang
- Department of Materials, Institute of Polymers, Swiss Federal Institute of Technology, ETH Zurich, HCI J 541, 8093 Zurich, Switzerland, Department of Chemistry and Applied Biological Sciences, Swiss Federal Institute of Technology, ETH Zurich, 8093 Zurich, Switzerland, and Laboratoire de Spectrométrie Physique (LSP) CNRS Université Joseph Fourier, BP 87, 38402 Saint Martin d’Hères cedex, France
| | - Martin Kröger
- Department of Materials, Institute of Polymers, Swiss Federal Institute of Technology, ETH Zurich, HCI J 541, 8093 Zurich, Switzerland, Department of Chemistry and Applied Biological Sciences, Swiss Federal Institute of Technology, ETH Zurich, 8093 Zurich, Switzerland, and Laboratoire de Spectrométrie Physique (LSP) CNRS Université Joseph Fourier, BP 87, 38402 Saint Martin d’Hères cedex, France
| | - Avraham Halperin
- Department of Materials, Institute of Polymers, Swiss Federal Institute of Technology, ETH Zurich, HCI J 541, 8093 Zurich, Switzerland, Department of Chemistry and Applied Biological Sciences, Swiss Federal Institute of Technology, ETH Zurich, 8093 Zurich, Switzerland, and Laboratoire de Spectrométrie Physique (LSP) CNRS Université Joseph Fourier, BP 87, 38402 Saint Martin d’Hères cedex, France
| | - A. Dieter Schlüter
- Department of Materials, Institute of Polymers, Swiss Federal Institute of Technology, ETH Zurich, HCI J 541, 8093 Zurich, Switzerland, Department of Chemistry and Applied Biological Sciences, Swiss Federal Institute of Technology, ETH Zurich, 8093 Zurich, Switzerland, and Laboratoire de Spectrométrie Physique (LSP) CNRS Université Joseph Fourier, BP 87, 38402 Saint Martin d’Hères cedex, France
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35
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Rosenfeldt S, Ballauff M, Lindner P, Harnau L. Structure and interaction of flexible dendrimers in concentrated solution. J Chem Phys 2009; 130:244901. [DOI: 10.1063/1.3155208] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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36
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Rzayev J. Synthesis of Polystyrene−Polylactide Bottlebrush Block Copolymers and Their Melt Self-Assembly into Large Domain Nanostructures. Macromolecules 2009. [DOI: 10.1021/ma802304y] [Citation(s) in RCA: 247] [Impact Index Per Article: 16.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Javid Rzayev
- Department of Chemistry, University at Buffalo, The State University of New York, Buffalo, New York 14260-3000
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37
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Bolisetty S, Hoffmann M, Lekkala S, Hellweg T, Ballauff M, Harnau L. Coupling of Rotational Motion with Shape Fluctuations of Core−Shell Microgels Having Tunable Softness. Macromolecules 2009. [DOI: 10.1021/ma8022603] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- S. Bolisetty
- Physikalische Chemie I, University of Bayreuth, D-95440 Bayreuth, Germany, and Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, D-70569 Stuttgart, Germany, and Institut für Theoretische and Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
| | - M. Hoffmann
- Physikalische Chemie I, University of Bayreuth, D-95440 Bayreuth, Germany, and Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, D-70569 Stuttgart, Germany, and Institut für Theoretische and Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
| | - S. Lekkala
- Physikalische Chemie I, University of Bayreuth, D-95440 Bayreuth, Germany, and Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, D-70569 Stuttgart, Germany, and Institut für Theoretische and Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
| | - Th. Hellweg
- Physikalische Chemie I, University of Bayreuth, D-95440 Bayreuth, Germany, and Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, D-70569 Stuttgart, Germany, and Institut für Theoretische and Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
| | - M. Ballauff
- Physikalische Chemie I, University of Bayreuth, D-95440 Bayreuth, Germany, and Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, D-70569 Stuttgart, Germany, and Institut für Theoretische and Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
| | - L. Harnau
- Physikalische Chemie I, University of Bayreuth, D-95440 Bayreuth, Germany, and Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, D-70569 Stuttgart, Germany, and Institut für Theoretische and Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
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38
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Bolisetty S, Rosenfeldt S, Rochette CN, Harnau L, Lindner P, Xu Y, Müller AHE, Ballauff M. Interaction of cylindrical polymer brushes in dilute and semi-dilute solution. Colloid Polym Sci 2008; 287:129-138. [PMID: 19816531 PMCID: PMC2755784 DOI: 10.1007/s00396-008-1962-3] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/03/2008] [Revised: 10/24/2008] [Accepted: 10/29/2008] [Indexed: 10/29/2022]
Abstract
We present a systematic study of flexible cylindrical brush-shaped macromolecules in a good solvent by small-angle neutron scattering (SANS), static light scattering (SLS), and by dynamic light scattering (DLS) in dilute and semi-dilute solution. The SLS and SANS data extrapolated to infinite dilution lead to the shape of the polymer that can be modeled in terms of a worm-like chain with a contour length of 380 nm and a persistence length of 17.5 nm. SANS data taken at higher polymer concentration were evaluated by using the polymer reference interaction site model (PRISM). We find that the persistence length reduce from 17.5 nm at infinite dilution to 5.3 nm at the highest concentration (volume fraction 0.038). This is comparable with the decrease of the persistence length in semi-dilute concentration predicted theoretically for polyelectrolytes. This finding reveals a softening of stiffness of the polymer brushes caused by their mutual interaction.
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39
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Hsu HP, Paul W, Binder K. Structure of bottle-brush polymers in solution: A Monte Carlo test of models for the scattering function. J Chem Phys 2008; 129:204904. [PMID: 19045878 DOI: 10.1063/1.3025893] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Hsiao-Ping Hsu
- Institut fur Physik, Johannes Gutenberg-Universitat Mainz, Mainz, Germany
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40
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Cheng G, Melnichenko YB, Wignall GD, Hua F, Hong K, Mays JW. Small Angle Neutron Scattering Study of Conformation of Oligo(ethylene glycol)-Grafted Polystyrene in Dilute Solutions: Effect of the Backbone Length. Macromolecules 2008. [DOI: 10.1021/ma801370q] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Gang Cheng
- Neutron Scattering Science Division and Center for Nanophase Materials Sciences and Chemical Science Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
| | - Yuri B. Melnichenko
- Neutron Scattering Science Division and Center for Nanophase Materials Sciences and Chemical Science Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
| | - George D. Wignall
- Neutron Scattering Science Division and Center for Nanophase Materials Sciences and Chemical Science Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
| | - Fengjun Hua
- Neutron Scattering Science Division and Center for Nanophase Materials Sciences and Chemical Science Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
| | - Kunlun Hong
- Neutron Scattering Science Division and Center for Nanophase Materials Sciences and Chemical Science Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
| | - Jimmy W. Mays
- Neutron Scattering Science Division and Center for Nanophase Materials Sciences and Chemical Science Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
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41
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42
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Xu Y, Bolisetty S, Drechsler M, Fang B, Yuan J, Ballauff M, Müller AH. pH and salt responsive poly(N,N-dimethylaminoethyl methacrylate) cylindrical brushes and their quaternized derivatives. POLYMER 2008. [DOI: 10.1016/j.polymer.2008.06.051] [Citation(s) in RCA: 108] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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43
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44
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Polotsky A, Charlaganov M, Xu Y, Leermakers FAM, Daoud M, Müller AHE, Dotera T, Borisov O. Pearl-Necklace Structures in Core−Shell Molecular Brushes: Experiments, Monte Carlo Simulations, and Self-Consistent Field Modeling. Macromolecules 2008. [DOI: 10.1021/ma800125q] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Alexey Polotsky
- CEA DSM-DRECAM-SPEC, F-91191 Gif-sur-Yvette Cedex, France, Laboratory of Physical Chemistry and Colloid Science, Wageningen University, NL-67003 HB Wageningen, The Netherlands, Institute of Macromolecular Compounds, Russian Academy of Sciences, 199004 St.Petersburg, Russia, Makromolekulare Chemie II, Universität Bayreuth, D-95440 Bayreuth, Germany, Department of Polymer Chemistry, Kyoto University, Katsura, Nishikyo-ku, Kyoto 615-8510, Japan, and Institut Pluridisciplinaire de Recherche sur
| | - Marat Charlaganov
- CEA DSM-DRECAM-SPEC, F-91191 Gif-sur-Yvette Cedex, France, Laboratory of Physical Chemistry and Colloid Science, Wageningen University, NL-67003 HB Wageningen, The Netherlands, Institute of Macromolecular Compounds, Russian Academy of Sciences, 199004 St.Petersburg, Russia, Makromolekulare Chemie II, Universität Bayreuth, D-95440 Bayreuth, Germany, Department of Polymer Chemistry, Kyoto University, Katsura, Nishikyo-ku, Kyoto 615-8510, Japan, and Institut Pluridisciplinaire de Recherche sur
| | - Youyong Xu
- CEA DSM-DRECAM-SPEC, F-91191 Gif-sur-Yvette Cedex, France, Laboratory of Physical Chemistry and Colloid Science, Wageningen University, NL-67003 HB Wageningen, The Netherlands, Institute of Macromolecular Compounds, Russian Academy of Sciences, 199004 St.Petersburg, Russia, Makromolekulare Chemie II, Universität Bayreuth, D-95440 Bayreuth, Germany, Department of Polymer Chemistry, Kyoto University, Katsura, Nishikyo-ku, Kyoto 615-8510, Japan, and Institut Pluridisciplinaire de Recherche sur
| | - Frans A. M. Leermakers
- CEA DSM-DRECAM-SPEC, F-91191 Gif-sur-Yvette Cedex, France, Laboratory of Physical Chemistry and Colloid Science, Wageningen University, NL-67003 HB Wageningen, The Netherlands, Institute of Macromolecular Compounds, Russian Academy of Sciences, 199004 St.Petersburg, Russia, Makromolekulare Chemie II, Universität Bayreuth, D-95440 Bayreuth, Germany, Department of Polymer Chemistry, Kyoto University, Katsura, Nishikyo-ku, Kyoto 615-8510, Japan, and Institut Pluridisciplinaire de Recherche sur
| | - Mohamed Daoud
- CEA DSM-DRECAM-SPEC, F-91191 Gif-sur-Yvette Cedex, France, Laboratory of Physical Chemistry and Colloid Science, Wageningen University, NL-67003 HB Wageningen, The Netherlands, Institute of Macromolecular Compounds, Russian Academy of Sciences, 199004 St.Petersburg, Russia, Makromolekulare Chemie II, Universität Bayreuth, D-95440 Bayreuth, Germany, Department of Polymer Chemistry, Kyoto University, Katsura, Nishikyo-ku, Kyoto 615-8510, Japan, and Institut Pluridisciplinaire de Recherche sur
| | - Axel H. E. Müller
- CEA DSM-DRECAM-SPEC, F-91191 Gif-sur-Yvette Cedex, France, Laboratory of Physical Chemistry and Colloid Science, Wageningen University, NL-67003 HB Wageningen, The Netherlands, Institute of Macromolecular Compounds, Russian Academy of Sciences, 199004 St.Petersburg, Russia, Makromolekulare Chemie II, Universität Bayreuth, D-95440 Bayreuth, Germany, Department of Polymer Chemistry, Kyoto University, Katsura, Nishikyo-ku, Kyoto 615-8510, Japan, and Institut Pluridisciplinaire de Recherche sur
| | - Tomonori Dotera
- CEA DSM-DRECAM-SPEC, F-91191 Gif-sur-Yvette Cedex, France, Laboratory of Physical Chemistry and Colloid Science, Wageningen University, NL-67003 HB Wageningen, The Netherlands, Institute of Macromolecular Compounds, Russian Academy of Sciences, 199004 St.Petersburg, Russia, Makromolekulare Chemie II, Universität Bayreuth, D-95440 Bayreuth, Germany, Department of Polymer Chemistry, Kyoto University, Katsura, Nishikyo-ku, Kyoto 615-8510, Japan, and Institut Pluridisciplinaire de Recherche sur
| | - Oleg Borisov
- CEA DSM-DRECAM-SPEC, F-91191 Gif-sur-Yvette Cedex, France, Laboratory of Physical Chemistry and Colloid Science, Wageningen University, NL-67003 HB Wageningen, The Netherlands, Institute of Macromolecular Compounds, Russian Academy of Sciences, 199004 St.Petersburg, Russia, Makromolekulare Chemie II, Universität Bayreuth, D-95440 Bayreuth, Germany, Department of Polymer Chemistry, Kyoto University, Katsura, Nishikyo-ku, Kyoto 615-8510, Japan, and Institut Pluridisciplinaire de Recherche sur
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Harnau L, Rosenfeldt S, Ballauff M. Structure factor and thermodynamics of rigid dendrimers in solution. J Chem Phys 2007; 127:014901. [PMID: 17627363 DOI: 10.1063/1.2750339] [Citation(s) in RCA: 12] [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 "polymer reference interaction site model" (PRISM) integral equation theory is used to determine the structure factor of rigid dendrimers in solution. The theory is quite successful in reproducing experimental structure factors for various dendrimer concentrations. In addition, the structure factor at vanishing scattering vector is calculated via the compressibility equation using scaled particle theory and fundamental measure theory. The results as predicted by both theories are systematically smaller than the experimental and PRISM data for platelike dendrimers.
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Affiliation(s)
- L Harnau
- Max-Planck-Institut für Metallforschung, Heisenbergstrasse 3, D-70569 Stuttgart, Germany
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