1
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Deaton TA, Aydin F, Li NK, Chu X, Dutt M, Yingling YG. Dissipative Particle Dynamics Approaches to Modeling the Self-Assembly and Morphology of Neutral and Ionic Block Copolymers in Solution. FOUNDATIONS OF MOLECULAR MODELING AND SIMULATION 2021. [DOI: 10.1007/978-981-33-6639-8_4] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/09/2022]
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2
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Structure and solvation thermodynamics of asymmetric poly (acrylic acid)-b-polystyrene polyelectrolyte block copolymer micelle in water: Effect of charge density and chemical composition. POLYMER 2018. [DOI: 10.1016/j.polymer.2018.10.042] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
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3
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Shavykin OV, Leermakers FAM, Neelov IM, Darinskii AA. Self-Assembly of Lysine-Based Dendritic Surfactants Modeled by the Self-Consistent Field Approach. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2018; 34:1613-1626. [PMID: 29286663 DOI: 10.1021/acs.langmuir.7b03825] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Implementing a united atom model, we apply self-consistent field theory to study structure and thermodynamic properties of spherical micelles composed of surfactants that combine an alkyl tail with a charged lysine-based dendritic headgroup. Following experiments, the focus was on dendron surfactants with varying tail length and dendron generations G0, G1, G2. The heads are subject to acetylation modification which reduces the charge and hydrophilicity. We establish a reasonable parameter set which results in semiquantitative agreement with the available experiments. The critical micellization concentration, aggregation number, and micelle size are discussed. The strongly charged dendronic surfactants micelles are stable for generation numbers G0 and G1, for progressively higher ionic strengths. Associates of G2 surfactants are very small and can only be found at extreme surfactant concentration and salt strengths. Micelles of corresponding weaker charged acetylated variants exist up to G2, tolerate significantly lower salt concentrations, but lose the spherical micelle topology for G0 at high ionic strengths.
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Affiliation(s)
- O V Shavykin
- St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Kronverkskiy pr. 49, St. Petersburg 197101, Russia
| | - F A M Leermakers
- Physical Chemistry and Soft Matter, Wageningen University , 6703 HB Wageningen, The Netherlands
| | - I M Neelov
- St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Kronverkskiy pr. 49, St. Petersburg 197101, Russia
- Institute of Macromolecular Compounds, Russian Academy of Sciences , Bolshoi Prospect 31, V.O., St. Petersburg 199004, Russia
| | - A A Darinskii
- St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Kronverkskiy pr. 49, St. Petersburg 197101, Russia
- Institute of Macromolecular Compounds, Russian Academy of Sciences , Bolshoi Prospect 31, V.O., St. Petersburg 199004, Russia
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4
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Litmanovich EA, Chernikova EV, Zhirnov AE. Influence of chain microstructure of acrylic acid and 4-vinylpyridine copolymers on their aggregative stability and adsorption from aqueous solutions. POLYMER SCIENCE SERIES C 2017. [DOI: 10.1134/s1811238217010064] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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5
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Rumyantsev AM, Potemkin II. Explicit description of complexation between oppositely charged polyelectrolytes as an advantage of the random phase approximation over the scaling approach. Phys Chem Chem Phys 2017; 19:27580-27592. [DOI: 10.1039/c7cp05300b] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
Abstract
Formation of single globules via 1 : 1 complexation of oppositely charged linear chains occurs prior to coacervation. Fcorr is proved to be negative which is the difference between the random phase approximation (RPA) correction term and the self-energy of the chains.
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Affiliation(s)
- Artem M. Rumyantsev
- Physics Department
- Lomonosov Moscow State University
- 119991 Moscow
- Russian Federation
- DWI – Leibniz Institute for Interactive Materials
| | - Igor I. Potemkin
- Physics Department
- Lomonosov Moscow State University
- 119991 Moscow
- Russian Federation
- DWI – Leibniz Institute for Interactive Materials
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6
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Li NK, Fuss WH, Tang L, Gu R, Chilkoti A, Zauscher S, Yingling YG. Prediction of solvent-induced morphological changes of polyelectrolyte diblock copolymer micelles. SOFT MATTER 2015; 11:8236-8245. [PMID: 26315065 DOI: 10.1039/c5sm01742d] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Self-assembly processes of polyelectrolyte block copolymers are ubiquitous in industrial and biological processes; understanding their physical properties can also provide insights into the design of polyelectrolyte materials with novel and tailored properties. Here, we report systematic analysis on how the ionic strength of the solvent and the length of the polyelectrolyte block affect the self-assembly and morphology of the polyelectrolyte block copolymer materials by constructing a salt-dependent morphological phase diagram using an implicit solvent ionic strength (ISIS) method for dissipative particle dynamics (DPD) simulations. This diagram permits the determination of the conditions for the morphological transition into a specific shape, namely vesicles or lamellar aggregates, wormlike/cylindrical micelles, and spherical micelles. The scaling behavior for the size of spherical micelles is predicted, in terms of radius of gyration (R(g,m)) and thickness of corona (Hcorona), as a function of solvent ionic strength (c(s)) and polyelectrolyte length (NA), which are R(g,m) ∼ c(s)(-0.06)N(A)(0.54) and Hcorona ∼ c(s)(-0.11)N(A)(0.75). The simulation results were corroborated through AFM and static light scattering measurements on the example of the self-assembly of monodisperse, single-stranded DNA block-copolynucleotides (polyT50-b-F-dUTP). Overall, we were able to predict the salt-responsive morphology of polyelectrolyte materials in aqueous solution and show that a spherical-cylindrical-lamellar change in morphology can be obtained through an increase in solvent ionic strength or a decrease of polyelectrolyte length.
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Affiliation(s)
- Nan K Li
- Department of Materials Science and Engineering, North Carolina State University, 911 Partners Way, Raleigh, NC 27695, USA.
| | - William H Fuss
- Department of Materials Science and Engineering, North Carolina State University, 911 Partners Way, Raleigh, NC 27695, USA.
| | - Lei Tang
- Department of Mechanical Engineering and Materials Science, Duke University, 144 Hudson Hall, Durham, NC 27708, USA
| | - Renpeng Gu
- Department of Mechanical Engineering and Materials Science, Duke University, 144 Hudson Hall, Durham, NC 27708, USA
| | - Ashutosh Chilkoti
- Department of Biomedical Engineering, Duke University, 136 Hudson Hall, Durham, NC 27708, USA
| | - Stefan Zauscher
- Department of Mechanical Engineering and Materials Science, Duke University, 144 Hudson Hall, Durham, NC 27708, USA
| | - Yaroslava G Yingling
- Department of Materials Science and Engineering, North Carolina State University, 911 Partners Way, Raleigh, NC 27695, USA.
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7
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Molecular Dynamics Simulations Investigation of Structure and Thermodynamic Properties of Symmetric Poly(styrene-block-acrylic acid) (PS-b-PAA) Micelle in Salt-Free Aqueous Solution. MACROMOL THEOR SIMUL 2015. [DOI: 10.1002/mats.201500033] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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8
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Tang L, Tjong V, Li N, Yingling YG, Chilkoti A, Zauscher S. Enzymatic polymerization of high molecular weight DNA amphiphiles that self-assemble into star-like micelles. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2014; 26:3050-3054. [PMID: 24497034 DOI: 10.1002/adma.201306049] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/10/2013] [Revised: 12/29/2013] [Indexed: 06/03/2023]
Abstract
High molecular weight ssDNA amphiphiles are synthesized by enzymatic polymerization. These highly asymmetric diblock DNA copolymers self-assemble into "hairy", star-like micelles, shown in the AFM image and the DPD snapshot.
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Affiliation(s)
- Lei Tang
- Dept. of Mechanical Engineering and Materials Science, Duke University, 144 Hudson Hall Box 90300, Durham, North Carolina, 27708, USA
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9
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Knychała P, Dzięcielski M, Banaszak M, Balsara NP. Phase Behavior of Ionic Block Copolymers Studied by a Minimal Lattice Model with Short-Range Interactions. Macromolecules 2013. [DOI: 10.1021/ma400078y] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- P. Knychała
- Faculty of Physics, A. Mickiewicz University, ul. Umultowska 85, 61-614
Poznan, Poland
| | - M. Dzięcielski
- Faculty of Physics, A. Mickiewicz University, ul. Umultowska 85, 61-614
Poznan, Poland
| | - M. Banaszak
- Faculty of Physics, A. Mickiewicz University, ul. Umultowska 85, 61-614
Poznan, Poland
| | - N. P. Balsara
- Environmental
Energy Technologies
Division, Lawrence Berkeley National Laboratory, Berkeley, California, 94720, United States
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California,
94720, United States
- Department
of Chemical and Biomolecular
Engineering, University of California,
Berkeley, California, 94720, United States
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10
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Texter J. Anion Responsive Imidazolium-Based Polymers. Macromol Rapid Commun 2012; 33:1996-2014. [DOI: 10.1002/marc.201200525] [Citation(s) in RCA: 85] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/03/2012] [Indexed: 01/25/2023]
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11
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Olea AF, Silva P, Fuentes I, Martínez F, Worrall DR. Probing solubilization sites in block copolymer micelles using fluorescence quenching. J Photochem Photobiol A Chem 2011. [DOI: 10.1016/j.jphotochem.2010.09.015] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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12
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Venev SV, Reineker P, Potemkin II. Direct and Inverse Micelles of Diblock Copolymers with a Polyelectrolyte Block: Effect of Equilibrium Distribution of Counterions. Macromolecules 2010. [DOI: 10.1021/ma102264g] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Sergey V. Venev
- Department of Physics, Moscow State University, Moscow 119991, Russian Federation
- Department of Polymer Science, University of Ulm, 89069 Ulm, Germany
| | - Peter Reineker
- Department of Theoretical Physics, University of Ulm, 89069 Ulm, Germany
| | - Igor I. Potemkin
- Department of Physics, Moscow State University, Moscow 119991, Russian Federation
- Department of Polymer Science, University of Ulm, 89069 Ulm, Germany
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13
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Kulebyakina AI, Lysenko EA, Chelushkin PS, Kabanov AV, Zezin AB. Self-assembly of an amphiphilic diblock copolymer in aqueous solutions: Effect of linear charge density of an ionogenic block. POLYMER SCIENCE SERIES A 2010. [DOI: 10.1134/s0965545x10060027] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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14
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Deng M, Jiang Y, Li X, Wang L, Liang H. Conformational behaviors of a charged-neutral star micelle in salt-free solution. Phys Chem Chem Phys 2010; 12:6135-9. [DOI: 10.1039/b924281c] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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15
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Hofs B, de Keizer A, van der Burgh S, Leermakers FAM, Cohen Stuart MA, Millard PE, Müller AHE. Complex coacervate core micro-emulsions. SOFT MATTER 2008; 4:1473-1482. [PMID: 32907114 DOI: 10.1039/b802148a] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Complex coacervate core micelles form in aqueous solutions from poly(acrylic acid)-block-poly(acrylamide) (PAAxPAAmy, x and y denote degree of polymerization) and poly(N,N-dimethyl aminoethyl methacrylate) (PDMAEMA150) around the stoichiometric charge ratio of the two components. The hydrodynamic radius, Rh, can be increased by adding oppositely charged homopolyelectrolytes, PAA140 and PDMAEMA150, at the stoichiometric charge ratio. Mixing the components in NaNO3 gives particles in highly aggregated metastable states, whose Rh remain unchanged (less than 5% deviation) for at least 1 month. The Rh increases more strongly with increasing addition of oppositely charged homopolyelectrolytes than is predicted by a geometrical packing model, which relates surface and volume of the particles. Preparation in a phosphate buffer - known to weaken the electrostatic interactions between PAA and PDMAEMA - yields swollen particles called complex coacervate core micro-emulsions (C3-μEs) whose Rh increase is close to that predicted by the model. These are believed to be in the stable state (lowest free energy). A two-regime increase in Rh is observed, which is attributed to a transition from more star-like to crew-cut-like, as shown by self-consistent field calculations. Varying the length of the neutral and polyelectrolyte block in electrophoretic mobility measurements shows that for long neutral blocks (PAA26PAAm405 and PAA39PAAm381) the ζ-potential is nearly zero. For shorter neutral blocks the ζ-potential is around -10 mV. This shows that the C3-μEs have excess charge, which can be almost completely screened by long enough neutral blocks.
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Affiliation(s)
- B Hofs
- Laboratory of Physical Chemistry and Colloid Science, Wageningen University, Dreijenplein 6, Wageningen, 6703 HB, The Netherlands
| | - A de Keizer
- Laboratory of Physical Chemistry and Colloid Science, Wageningen University, Dreijenplein 6, Wageningen, 6703 HB, The Netherlands
| | - S van der Burgh
- Laboratory of Physical Chemistry and Colloid Science, Wageningen University, Dreijenplein 6, Wageningen, 6703 HB, The Netherlands
| | - F A M Leermakers
- Laboratory of Physical Chemistry and Colloid Science, Wageningen University, Dreijenplein 6, Wageningen, 6703 HB, The Netherlands
| | - M A Cohen Stuart
- Laboratory of Physical Chemistry and Colloid Science, Wageningen University, Dreijenplein 6, Wageningen, 6703 HB, The Netherlands
| | - P-E Millard
- Macromolecular Chemistry II, University of Bayreuth, Bayreuth, 95440, Germany
| | - A H E Müller
- Macromolecular Chemistry II, University of Bayreuth, Bayreuth, 95440, Germany
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16
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Uhlík F, Jelínek K, Limpouchová Z, Procházka K. Stimuli-Responsive Amphiphilic Shells of Kinetically Frozen Polymeric Micelles in Aqueous Media: Monte Carlo Simulations and Comparison to Self-Consistent Field Calculations. Macromolecules 2008. [DOI: 10.1021/ma071675q] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Filip Uhlík
- Department of Physical and Macromolecular Chemistry and Laboratory of Specialty Polymers, Charles University in Prague, Faculty of Science, Albertov 6, 128 43 Praha 2, Czech Republic
| | - Karel Jelínek
- Department of Physical and Macromolecular Chemistry and Laboratory of Specialty Polymers, Charles University in Prague, Faculty of Science, Albertov 6, 128 43 Praha 2, Czech Republic
| | - Zuzana Limpouchová
- Department of Physical and Macromolecular Chemistry and Laboratory of Specialty Polymers, Charles University in Prague, Faculty of Science, Albertov 6, 128 43 Praha 2, Czech Republic
| | - Karel Procházka
- Department of Physical and Macromolecular Chemistry and Laboratory of Specialty Polymers, Charles University in Prague, Faculty of Science, Albertov 6, 128 43 Praha 2, Czech Republic
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17
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Oh H, Green PF. Role of Diblock Copolymers toward Controlling the Glass Transition of Thin Polymer Films. Macromolecules 2008. [DOI: 10.1021/ma071805v] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Hyunjoon Oh
- Department of Materials Science and Engineering and Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109
| | - Peter F. Green
- Department of Materials Science and Engineering and Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109
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18
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Shusharina NP, Rubinstein M. Scaling Theory of Polyelectrolyte and Polyampholyte Micelles. ACTA ACUST UNITED AC 2007. [DOI: 10.1007/978-1-4020-6330-5_10] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/13/2023]
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19
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Abstract
We employ monomer-resolved molecular dynamics simulations and theoretical considerations to analyze the conformations of multiarm polyelectrolyte stars close to planar, uncharged walls. We identify three mechanisms that contribute to the emergence of a repulsive star-wall force, namely, the confinement of the counterions that are trapped in the star interior, the increase in electrostatic energy due to confinement as well as a novel mechanism arising from the compression of the stiff polyelectrolyte rods approaching the wall. The latter is not present in the case of interaction between two polyelectrolyte stars and is a direct consequence of the impenetrable character of the planar wall.
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Affiliation(s)
- Martin Konieczny
- Institut für Theoretische Physik II, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-40225 Düsseldorf, Germany.
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20
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Kimerling AS, Rochefort WE(S, Bhatia SR. Rheology of Block Polyelectrolyte Solutions and Gels: A Review. Ind Eng Chem Res 2006. [DOI: 10.1021/ie051034o] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Abigail S. Kimerling
- Department of Chemical Engineering, University of Massachusetts, 159 Goessmann Lab, 686 North Pleasant Street, Amherst, Massachusetts 01003-9303, and Department of Chemical Engineering, 102 Gleeson Hall, Oregon State University, Corvallis, Oregon 97331-2702
| | - Willie E. (Skip) Rochefort
- Department of Chemical Engineering, University of Massachusetts, 159 Goessmann Lab, 686 North Pleasant Street, Amherst, Massachusetts 01003-9303, and Department of Chemical Engineering, 102 Gleeson Hall, Oregon State University, Corvallis, Oregon 97331-2702
| | - Surita R. Bhatia
- Department of Chemical Engineering, University of Massachusetts, 159 Goessmann Lab, 686 North Pleasant Street, Amherst, Massachusetts 01003-9303, and Department of Chemical Engineering, 102 Gleeson Hall, Oregon State University, Corvallis, Oregon 97331-2702
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21
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Cheng H, Olvera de la Cruz M. Hydrophobic-Charged Block Copolymer Micelles Induced by Oppositely Charged Surfaces: Salt and pH Dependence. Macromolecules 2006. [DOI: 10.1021/ma051965b] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Hao Cheng
- Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208
| | - Monica Olvera de la Cruz
- Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208
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22
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Štěpánek M, Matějíček P, Humpolíčková J, Havránková J, Podhájecká K, Špírková M, Tuzar Z, Tsitsilianis C, Procházka K. New insights on the solution behavior and self-assembly of polystyrene/poly(2-vinylpyridine) ‘hairy’ heteroarm star copolymers with highly asymmetric arms in polar organic and aqueous media. POLYMER 2005. [DOI: 10.1016/j.polymer.2005.08.031] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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23
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Hoffmann N, Likos CN, Löwen H. Structure and phase behavior of polyelectrolyte star solutions. J Chem Phys 2004; 121:7009-21. [PMID: 15473762 DOI: 10.1063/1.1790451] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Using the recently developed effective interaction potentials between polyelectrolyte stars, we examine the structure and phase behavior of solutions of the same. The effective interaction is ultrasoft and density dependent, owing to the integration of the counterionic degrees of freedom. The latter contribute extensive volume terms that must be taken into account in drawing the phase diagram of the system. The structural behavior of the uniform fluid is characterized by anomalous structure factors, akin to those found previously for solutions of uncharged star polymers. The phase diagram of the system is very rich, featuring a fluid phase at low arm numbers of the stars, two reentrant melting regions, as well as a variety of crystal structures with unusual symmetry. The physical origin of these features can be traced back to the ultrasoft nature of the effective interaction potential.
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Affiliation(s)
- Norman Hoffmann
- Institut für Theoretische Physik II, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, Düsseldorf D-40225, Germany
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24
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Kramarenko EY, Khokhlov AR, Reineker P. Micelle formation in a dilute solution of block copolymers with a polyelectrolyte block complexed with oppositely charged linear chains. J Chem Phys 2003. [DOI: 10.1063/1.1594720] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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25
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de Robillard Q, Guo X, Ballauff M, Narayanan T. Spatial Correlation of Spherical Polyelectrolyte Brushes in Salt-Free Solution As Observed by Small-Angle X-ray Scattering. Macromolecules 2000. [DOI: 10.1021/ma001373n] [Citation(s) in RCA: 47] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Q. de Robillard
- Polymer-Institut, Universität Karlsruhe, Kaiserstrasse 12, 76128 Karlsruhe, Germany
| | - X. Guo
- Polymer-Institut, Universität Karlsruhe, Kaiserstrasse 12, 76128 Karlsruhe, Germany
| | - M. Ballauff
- Polymer-Institut, Universität Karlsruhe, Kaiserstrasse 12, 76128 Karlsruhe, Germany
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26
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Shusharina NP, Linse P, Khokhlov AR. Lattice Mean-Field Modeling of Charged Polymeric Micelles. Macromolecules 2000. [DOI: 10.1021/ma0005567] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Nadezhda P. Shusharina
- Physical Chemistry 1, Center for Chemistry and Chemical Engineering, Lund University, P.O.Box 124, S-221 00 Lund, Sweden, and Physics Department, Moscow State University, 117234 Moscow, Russia
| | - Per Linse
- Physical Chemistry 1, Center for Chemistry and Chemical Engineering, Lund University, P.O.Box 124, S-221 00 Lund, Sweden, and Physics Department, Moscow State University, 117234 Moscow, Russia
| | - Alexei R. Khokhlov
- Physical Chemistry 1, Center for Chemistry and Chemical Engineering, Lund University, P.O.Box 124, S-221 00 Lund, Sweden, and Physics Department, Moscow State University, 117234 Moscow, Russia
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