1
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Zavala-Martínez AB, Grelet E. M13-Phage-Based Star-Shaped Particles with Internal Flexibility. ACS NANO 2024; 18:281-287. [PMID: 38113352 DOI: 10.1021/acsnano.3c06134] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/21/2023]
Abstract
We report on the construction and the dynamics of monodisperse star-shaped particles, mimicking, at the mesoscale, star polymers. Such multiarm star-like particles result from the self-assembly of gold nanoparticles, forming the core, with tip-linked filamentous viruses (M13 bacteriophages) acting as spines in a sea urchin-like structure. By combining fluorescence and dark-field microscopy with dynamic light scattering, we investigate the diffusion of these hybrid spiny particles. We reveal the internal dynamics of the star particles by probing their central metallic core, which exhibits a hindered motion that can be described as a Brownian particle trapped in a harmonic potential. We therefore show that the filamentous viruses and specifically their tip proteins behave as entropic springs, extending the relevance of the study of such hybrid mesoscopic analogues of star polymers to phage biotechnology.
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Affiliation(s)
- Arantza B Zavala-Martínez
- Univ. Bordeaux, CNRS, Centre de Recherche Paul-Pascal, UMR 5031,115Avenue du Dr. Schweitzer, F-33600 Pessac, France
| | - Eric Grelet
- Univ. Bordeaux, CNRS, Centre de Recherche Paul-Pascal, UMR 5031,115Avenue du Dr. Schweitzer, F-33600 Pessac, France
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2
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Parisi D, Camargo M, Makri K, Gauthier M, Likos CN, Vlassopoulos D. Effect of softness on glass melting and re-entrant solidification in mixtures of soft and hard colloids. J Chem Phys 2021; 155:034901. [PMID: 34293891 DOI: 10.1063/5.0055381] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a systematic investigation of the structure and dynamic properties of model soft-hard colloidal mixtures. Results of a coarse-grained theoretical model are contrasted with rheological data, where the soft and hard colloids are mimicked by large star polymers with high functionality as the soft component and smaller stars with ultrahigh functionality as the hard one. Previous work by us revealed the recovery of the ergodicity of glassy soft star solutions and subsequent arrested phase separation and re-entrant solid transition upon progressive addition of small hard depletants. Here, we use different components to show that a small variation in softness has a significant impact on the state diagram of such mixtures. In particular, we establish that rendering the soft component more penetrable and modifying the size ratio bring about a remarkable shift in both the phase separation region and the glass-melting line so that the region of restored ergodicity can be notably enhanced and extended to much higher star polymer concentrations than for pure systems. We further rationalize our findings by analyzing the features of the depletion interaction induced by the smaller component that result from the interplay between the size ratio and the softness of the large component. These results demonstrate the great sensitivity of the phase behavior of entropic mixtures to small changes in the molecular architecture of the soft stars and point to the importance of accounting for details of the internal microstructure of soft colloidal particles for tailoring the flow properties of soft composites.
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Affiliation(s)
- Daniele Parisi
- FORTH, Institute of Electronic Structure and Laser, 70013 Heraklion, Crete, Greece
| | - Manuel Camargo
- CICBA & FIMEB, Universidad Antonio Nariño-Campus Farallones, Km 18 via Cali-Jamundi, 760030 Cali, Colombia
| | - Kalliopi Makri
- FORTH, Institute of Electronic Structure and Laser, 70013 Heraklion, Crete, Greece
| | - Mario Gauthier
- Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - Christos N Likos
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
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3
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González García Á, Ianiro A, Beljon R, Leermakers FAM, Tuinier R. (Homo)polymer-mediated colloidal stability of micellar solutions. SOFT MATTER 2020; 16:1560-1571. [PMID: 31950966 DOI: 10.1039/c9sm01665a] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Despite their wide range of applications, there is a remarkable lack of fundamental understanding about how micelles respond to other components in solution. The colloidal stability of micellar solutions in presence of (homo)polymers is investigated here following a theoretical bottom-up approach. A polymer-mediated micelle-micelle interaction is extracted from changes in the micelle-unimer equilibrium as a function of the inter-micelle distance. The homopolymer-mediated diblock copolymer micelle-micelle interaction is studied both for depletion and adsorption of the homopolymer. The fluffy nature of the solvophilic domain (corona) of the micelle weakens the depletion-induced destabilization. Accumulation of polymers into the corona induces bridging attraction between micelles. In fact, both depletion and adsorption phenomena are regulated by the coronal thickness relative to the size of the added polymer. Penetration of guest compounds into the coronal domain of crew-cut micelles, with a narrower yet denser corona, is less pronounced as for starlike micelles (with a more diffuse corona). Therefore, crew-cut micelles are less sensitive to the effect of added compounds, and hence more suitable for applications in multicomponent systems, such as industrial formulations or biological fluids. The trends observed for the colloidal stability of crew-cut micelles qualitatively match with our experimental observations on aqueous dispersions of polycaprolactone-polyethylene glycol (PCL-PEO) micellar suspensions with added PEO chains.
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Affiliation(s)
- Álvaro González García
- Van't Hoff Laboratory for Physical and Colloid Chemistry, Department of Chemistry & Debye Institute, Utrecht University, Padualaan 8, 3584 CH, The Netherlands.
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4
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Menichetti R, Pelissetto A, Randisi F. Thermodynamics of star polymer solutions: A coarse-grained study. J Chem Phys 2018; 146:244908. [PMID: 28668065 DOI: 10.1063/1.4989476] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We consider a coarse-grained (CG) model with pairwise interactions, suitable to describe low-density solutions of star-branched polymers of functionality f. Each macromolecule is represented by a CG molecule with (f + 1) interaction sites, which captures the star topology. Potentials are obtained by requiring the CG model to reproduce a set of distribution functions computed in the microscopic model in the zero-density limit. Explicit results are given for f = 6, 12, and 40. We use the CG model to compute the osmotic equation of state of the solution for concentrations c such that Φp=c∕c*≲1, where c* is the overlap concentration. We also investigate in detail the phase diagram for f = 40, identifying the boundaries of the solid intermediate phase. Finally, we investigate how the polymer size changes with c. For Φp≲0.3, polymers become harder as f increases at fixed reduced concentration c∕c*. On the other hand, for Φp≳0.3, polymers show the opposite behavior: At fixed Φp, the larger the value of f, the larger their size reduction is.
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Affiliation(s)
- Roberto Menichetti
- Max-Planck-Institut für Polymerforschung, Ackermannweg 10, D-55128 Mainz, Germany
| | - Andrea Pelissetto
- Dipartimento di Fisica, Sapienza Università di Roma and INFN, Sezione di Roma I, Piazzale Aldo Moro 2, I-00185 Roma, Italy
| | - Ferdinando Randisi
- Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, United Kingdom
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5
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Gupta S, Bleuel M, Schneider GJ. A new ultrasonic transducer sample cell for in situ small-angle scattering experiments. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2018; 89:015111. [PMID: 29390660 DOI: 10.1063/1.5021370] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
Ultrasound irradiation is a commonly used technique for nondestructive diagnostics or targeted destruction. We report on a new versatile sonication device that fits in a variety of standard sample environments for neutron and X-ray scattering instruments. A piezoelectric transducer permits measuring of the time-dependent response of the sample in situ during or after sonication. We use small-angle neutron scattering (SANS) to demonstrate the effect of a time-dependent perturbation on the structure factor of micelles formed from sodium dodecyl sulfate surfactant molecules. We observe a substantial change in the micellar structure during and after exposure to ultrasonic irradiation. We also observe a time-dependent relaxation to the equilibrium values of the unperturbed system. The strength of the perturbation of the structure factor depends systematically on the duration of sonication. The relaxation behavior can be well reproduced after multiple times of sonication. Accumulation of the recorded intensities of the different sonication cycles improves the signal-to-noise ratio and permits reaching very short relaxation times. In addition, we present SANS data for the micellar form factor on alkyl-poly (ethylene oxide) surfactant molecules irradiated by ultrasound. Due to the flexibility of our new in situ sonication device, different experiments can be performed, e.g., to explore molecular potentials in more detail by introducing a systematic time-dependent perturbation.
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Affiliation(s)
- Sudipta Gupta
- Department of Chemistry and Department of Physics, Louisiana State University, Baton Rouge, Louisiana 70803, USA
| | - Markus Bleuel
- NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
| | - Gerald J Schneider
- Department of Chemistry and Department of Physics, Louisiana State University, Baton Rouge, Louisiana 70803, USA
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6
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D'Adamo G, Pelissetto A. Polymer models with optimal good-solvent behavior. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:435104. [PMID: 28737167 DOI: 10.1088/1361-648x/aa8191] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
We consider three different continuum polymer models, which all depend on a tunable parameter r that determines the strength of the excluded-volume interactions. In the first model, chains are obtained by concatenating hard spherocylinders of height b and diameter rb (we call them thick self-avoiding chains). The other two models are generalizations of the tangent hard-sphere and of the Kremer-Grest models. We show that for a specific value [Formula: see text], all models show optimal behavior: asymptotic long-chain behavior is observed for relatively short chains. For [Formula: see text], instead, the behavior can be parametrized by using the two-parameter model, which also describes the thermal crossover close to the θ point. The bonds of the thick self-avoiding chains cannot cross each other, and therefore the model is suited for the investigation of topological properties and for dynamical studies. Such a model also provides a coarse-grained description of double-stranded DNA, so that we can use our results to discuss under which conditions DNA can be considered as a model good-solvent polymer.
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7
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Nzé RP, Nicolai T, Chassenieux C, Nicol E, Boye S, Lederer A. Effect of Connectivity on the Structure and the Liquid–Solid Transition of Dense Suspensions of Soft Colloids. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b01317] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- René-Ponce Nzé
- LUNAM Université, Université du Maine, Institut des Molécules et Matériaux du Mans UMR-CNRS
6283, Avenue Olivier Messiaen, 72085 Le Mans, Cedex, France
| | - Taco Nicolai
- LUNAM Université, Université du Maine, Institut des Molécules et Matériaux du Mans UMR-CNRS
6283, Avenue Olivier Messiaen, 72085 Le Mans, Cedex, France
| | - Christophe Chassenieux
- LUNAM Université, Université du Maine, Institut des Molécules et Matériaux du Mans UMR-CNRS
6283, Avenue Olivier Messiaen, 72085 Le Mans, Cedex, France
| | - Erwan Nicol
- LUNAM Université, Université du Maine, Institut des Molécules et Matériaux du Mans UMR-CNRS
6283, Avenue Olivier Messiaen, 72085 Le Mans, Cedex, France
| | - Susanne Boye
- Polymer
Separation Group, Leibniz-Institut für Polymerforschung Dresden e.V., Hohe Str. 6, D-01069 Dresden, Germany
- Technische Universität
Dresden, D-01062 Dresden, Germany
| | - Albena Lederer
- Polymer
Separation Group, Leibniz-Institut für Polymerforschung Dresden e.V., Hohe Str. 6, D-01069 Dresden, Germany
- Technische Universität
Dresden, D-01062 Dresden, Germany
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8
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Gupta S, Stellbrink J, Zaccarelli E, Likos CN, Camargo M, Holmqvist P, Allgaier J, Willner L, Richter D. Validity of the Stokes-Einstein Relation in Soft Colloids up to the Glass Transition. PHYSICAL REVIEW LETTERS 2015; 115:128302. [PMID: 26431020 DOI: 10.1103/physrevlett.115.128302] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/21/2015] [Indexed: 05/23/2023]
Abstract
We investigate the dynamics of kinetically frozen block copolymer micelles of different softness across a wide range of particle concentrations, from the fluid to the onset of glassy behavior, through a combination of rheology, dynamic light scattering, and pulsed field gradient NMR spectroscopy. We additionally perform Brownian dynamics simulations based on an ultrasoft coarse-grained potential, which are found to be in quantitative agreement with experiments, capturing even the very details of dynamic structure factors S(Q,t) on approaching the glass transition. We provide evidence that for these systems the Stokes-Einstein relation holds up to the glass transition; given that it is violated for dense suspensions of hard colloids, our findings suggest that its validity is an intriguing signature of ultrasoft interactions.
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Affiliation(s)
- Sudipta Gupta
- JCNS-1 and ICS-1, Forschungszentrum Jülich, Leo-Brandt-Straße, 52425 Jülich, Germany
- JCNS-SNS, Oak Ridge National Laboratory, Bethel Valley Road, Oak Ridge, Tennessee 37831, USA
| | - Jörg Stellbrink
- JCNS-1 and ICS-1, Forschungszentrum Jülich, Leo-Brandt-Straße, 52425 Jülich, Germany
| | - Emanuela Zaccarelli
- CNR-ISC and Dipartimento di Fisica, Sapienza Università di Roma, Piazzale A. Moro 2, 00185 Rome, Italy
| | - Christos N Likos
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
| | - Manuel Camargo
- Centro de Investigaciones en Ciencias Básicas y Aplicadas, Universidad Antonio Nariño, Km 18 via Cali-Jamundí, 760030 Santiago de Cali, Colombia
| | - Peter Holmqvist
- Division of Physical Chemistry, Lund University, 22100 Lund, Sweden
| | - Jürgen Allgaier
- JCNS-1 and ICS-1, Forschungszentrum Jülich, Leo-Brandt-Straße, 52425 Jülich, Germany
| | - Lutz Willner
- JCNS-1 and ICS-1, Forschungszentrum Jülich, Leo-Brandt-Straße, 52425 Jülich, Germany
| | - Dieter Richter
- JCNS-1 and ICS-1, Forschungszentrum Jülich, Leo-Brandt-Straße, 52425 Jülich, Germany
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9
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Gupta S, Camargo M, Stellbrink J, Allgaier J, Radulescu A, Lindner P, Zaccarelli E, Likos CN, Richter D. Dynamic phase diagram of soft nanocolloids. NANOSCALE 2015; 7:13924-13934. [PMID: 26219628 DOI: 10.1039/c5nr03702f] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
We present a comprehensive experimental and theoretical study covering micro-, meso- and macroscopic length and time scales, which enables us to establish a generalized view in terms of structure-property relationship and equilibrium dynamics of soft colloids. We introduce a new, tunable block copolymer model system, which allows us to vary the aggregation number, and consequently its softness, by changing the solvophobic-to-solvophilic block ratio (m : n) over two orders of magnitude. Based on a simple and general coarse-grained model of the colloidal interaction potential, we verify the significance of interaction length σint governing both structural and dynamic properties. We put forward a quantitative comparison between theory and experiment without adjustable parameters, covering a broad range of experimental polymer volume fractions (0.001 ≤ϕ≤ 0.5) and regimes from ultra-soft star-like to hard sphere-like particles, that finally results in the dynamic phase diagram of soft colloids. In particular, we find throughout the concentration domain a strong correlation between mesoscopic diffusion and macroscopic viscosity, irrespective of softness, manifested in data collapse on master curves using the interaction length σint as the only relevant parameter. A clear reentrance in the glass transition at high aggregation numbers is found, recovering the predicted hard-sphere (HS) value in the hard-sphere like limit. Finally, the excellent agreement between our new experimental systems with different but already established model systems shows the relevance of block copolymer micelles as a versatile realization of soft colloids and the general validity of a coarse-grained approach for the description of the structure and dynamics of soft colloids.
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Affiliation(s)
- Sudipta Gupta
- JCNS-1 and ICS-1, Forschungszentrum Jülich, Leo-Brandt-Straße, 52425 Jülich, Germany.
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10
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Amann M, Willner L, Stellbrink J, Radulescu A, Richter D. Studying the concentration dependence of the aggregation number of a micellar model system by SANS. SOFT MATTER 2015; 11:4208-4217. [PMID: 25892401 DOI: 10.1039/c5sm00469a] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We present a small-angle neutron scattering (SANS) structural characterization of n-alkyl-PEO polymer micelles in aqueous solution with special focus on the dependence of the micellar aggregation number on increasing concentration. The single micellar properties in the dilute region up to the overlap concentration ϕ* are determined by exploiting the well characterized unimer exchange kinetics of the model system in a freezing and diluting experiment. The micellar solutions are brought to thermodynamic equilibrium at high temperatures, where unimer exchange is fast, and are then cooled to low temperatures and diluted to concentrations in the limit of infinite dilution. At low temperatures the kinetics, and therefore the key mechanism for micellar rearrangement, is frozen on the experimental time scale, thus preserving the micellar structure in the dilution process. Information about the single micellar structure in the semidilute and concentrated region are extracted from structure factor analysis at high concentrations where the micelles order into fcc and bcc close packed lattices and the aggregation number can be calculated by geometrical arguments. This approach enables us to investigate the aggregation behavior in a wide concentration regime from dilute to 6·ϕ*, showing a constant aggregation number with concentration over a large concentration regime up to a critical concentration about three times ϕ*. When exceeding this critical concentration, the aggregation number was found to increase with increasing concentration. This behavior is compared to scaling theories for star-like polymer micelles.
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Affiliation(s)
- Matthias Amann
- Jülich Centre for Neutron Science JCNS-1 & Institute of Complex Systems ICS-1, Forschungszentrum Jülich GmbH, 52425 Jülich, Germany.
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11
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Bekhradnia S, Diget JS, Zinn T, Zhu K, Sande SA, Nyström B, Lund R. Charged Star Diblock Copolymers in Dilute Solutions: Synthesis, Structure, and Chain Conformations. Macromolecules 2015. [DOI: 10.1021/ma502488u] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Affiliation(s)
- Sara Bekhradnia
- Department
of Chemistry, University of Oslo, P.O. Box 1033, Blindern, N-0315 Oslo, Norway
- Department
of Pharmacy, University of Oslo, P.O. Box 1068, Blindern, N-0316 Oslo, Norway
| | - Jakob Stensgaard Diget
- Department
of Chemistry, University of Oslo, P.O. Box 1033, Blindern, N-0315 Oslo, Norway
| | - Thomas Zinn
- Department
of Chemistry, University of Oslo, P.O. Box 1033, Blindern, N-0315 Oslo, Norway
| | - Kaizheng Zhu
- Department
of Chemistry, University of Oslo, P.O. Box 1033, Blindern, N-0315 Oslo, Norway
| | - Sverre Arne Sande
- Department
of Pharmacy, University of Oslo, P.O. Box 1068, Blindern, N-0316 Oslo, Norway
| | - Bo Nyström
- Department
of Chemistry, University of Oslo, P.O. Box 1033, Blindern, N-0315 Oslo, Norway
| | - Reidar Lund
- Department
of Chemistry, University of Oslo, P.O. Box 1033, Blindern, N-0315 Oslo, Norway
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12
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Liu N, He Q, Bu W. Self-assembly of star micelle into vesicle in solvents of variable quality: the star micelle retains its core-shell nanostructure in the vesicle. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2015; 31:2262-2268. [PMID: 25634320 DOI: 10.1021/la504817q] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Intra- and intermolecular interactions of star polymers in dilute solutions are of fundamental importance for both theoretical interest and hierarchical self-assembly into functional nanostructures. Here, star micelles with a polystyrene corona and a small ionic core bearing platinum(II) complexes have been regarded as a model of star polymers to mimic their intra- and interstar interactions and self-assembled behaviors in solvents of weakening quality. In the chloroform/methanol mixture solvents, the star micelles can self-assemble to form vesicles, in which the star micelles shrink significantly and are homogeneously distributed on the vesicle surface. Unlike the morphological evolution of conventional amphiphiles from micellar to vesicular, during which the amphiphilic molecules are commonly reorganized, the star micelles still retain their core-shell nanostructures in the vesicles and the coronal chains of the star micelle between the ionic cores are fully interpenetrated.
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Affiliation(s)
- Nijuan Liu
- Key Laboratory of Nonferrous Metals Chemistry and Resources Utilization of Gansu Province, State Key Laboratory of Applied Organic Chemistry, and College of Chemistry and Chemical Engineering, Lanzhou University , Lanzhou City, Gansu Province, China
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13
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Padding JT, Briels WJ. Momentum conserving Brownian dynamics propagator for complex soft matter fluids. J Chem Phys 2014; 141:244108. [DOI: 10.1063/1.4904315] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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14
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15
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Snijkers F, Cho HY, Nese A, Matyjaszewski K, Pyckhout-Hintzen W, Vlassopoulos D. Effects of Core Microstructure on Structure and Dynamics of Star Polymer Melts: From Polymeric to Colloidal Response. Macromolecules 2014. [DOI: 10.1021/ma5008336] [Citation(s) in RCA: 45] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Frank Snijkers
- Institute of Electronic Structure & Laser, FORTH, Heraklion 70013, Crete, Greece
- Department
of Engineering for Innovation, University of Salento, Lecce 73100, Italy
| | - Hong Y. Cho
- Department
of Chemistry, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, United States
| | - Alper Nese
- Department
of Chemistry, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, United States
| | - Krzysztof Matyjaszewski
- Department
of Chemistry, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, United States
| | - Wim Pyckhout-Hintzen
- Jülich
Centre for Neutron Science and Institute for Complex Systems, Forschungszentrum Jülich GmbH, Jülich 52428, Germany
| | - Dimitris Vlassopoulos
- Institute of Electronic Structure & Laser, FORTH, Heraklion 70013, Crete, Greece
- Department
of Materials Science and Technology, University of Crete, Heraklion 71302, Crete, Greece
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16
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Singh SP, Chatterji A, Gompper G, Winkler RG. Dynamical and Rheological Properties of Ultrasoft Colloids under Shear Flow. Macromolecules 2013. [DOI: 10.1021/ma401571k] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Sunil P. Singh
- Theoretical
Soft Matter and Biophysics, Institute for Advanced Simulation and
Institute of Complex Systems, Forschungszentrum Jülich, 52425 Jülich, Germany
| | - Apratim Chatterji
- Physics
Department, Indian Institute of Science Education and Research (IISER) , Pune 411021, India
| | - Gerhard Gompper
- Theoretical
Soft Matter and Biophysics, Institute for Advanced Simulation and
Institute of Complex Systems, Forschungszentrum Jülich, 52425 Jülich, Germany
| | - Roland G. Winkler
- Theoretical
Soft Matter and Biophysics, Institute for Advanced Simulation and
Institute of Complex Systems, Forschungszentrum Jülich, 52425 Jülich, Germany
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17
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Menichetti R, Pelissetto A. Comparing different coarse-grained potentials for star polymers. J Chem Phys 2013; 138:124902. [DOI: 10.1063/1.4796143] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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18
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Puaud F, Nicolai T, Nicol E, Benyahia L, Brotons G. Dynamic arm exchange facilitates crystallization and jamming of starlike polymers by spontaneous fine-tuning of the number of arms. PHYSICAL REVIEW LETTERS 2013; 110:028302. [PMID: 23383945 DOI: 10.1103/physrevlett.110.028302] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/26/2012] [Indexed: 06/01/2023]
Abstract
The effect of dynamic arm exchange on the crystallization and the jamming of multiarm starlike polymers was studied using small angle x-ray scattering and rheology. Poly(ethylene oxide) end capped with a small hydrophobic chain formed spherical micelles in water. Dynamic arm exchange allowed rapid crystallization and caused a discontinuous liquid-solid transition in dense suspensions after cooling. It is shown here that this is caused by spontaneous fine-tuning of the number of arms per micelle (f). Elimination of arm exchange by in situ photo-cross-linking of the core did not influence the behavior when f was at the optimum value. However, suboptimal values of f inhibited crystallization and the liquid-solid transition.
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Affiliation(s)
- Fanny Puaud
- LUNAM University, Université du Maine, IMMM UMR-CNRS 6283, 72085 Le Mans cedex 9, France
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19
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Gupta S, Kundu SK, Stellbrink J, Willner L, Allgaier J, Richter D. Advanced rheological characterization of soft colloidal model systems. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:464102. [PMID: 23114080 DOI: 10.1088/0953-8984/24/46/464102] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The complex flow behavior of polymer-based soft colloidal model systems was investigated using steady and oscillatory shear to prove new concepts for advanced rheological characterization. In the very dilute regime we investigated high molecular weight polybutadiene star polymers to quantify the internal relaxation time arising from the polymeric nature of these ultra-soft colloids. The observed shear-induced brush deformation is interpreted in terms of the internal Zimm time τ(z). The observed dependence of τ(z) on matrix viscosity can be explained by shrinkage of the star polymer due to an increasing incompatibility with increasing matrix molecular weight. The influence of the polymeric nature on the characteristic structural relaxation time in the concentrated regime was investigated using non-linear rheology following Wyss et al (SRFS) (2007 Phys. Rev. Lett. 98 238303). Here we used star-like block copolymer micelles to systematically tune the 'softness' of the colloids by variation of the block ratio. A master curve with proper scaling parameters could be generated independent of the degree of colloidal 'softness'. However, the obtained strain-rate independent structural relaxation time τ(0) was not observed in the linear regime. In addition, a high frequency discrepancy was clearly found in all our experimental data. Both reflect the shortcomings of the SRFS approach.
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Affiliation(s)
- S Gupta
- Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), Forschungszentrum Jülich, D-52425 Jülich, Germany
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20
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Wiemann M, Schneider R, Bartsch E. Synthesis of PEG-Stabilized Fluoro-Acrylate Particles and Study of their Glass Transition in Aqueous Dispersion. ACTA ACUST UNITED AC 2012. [DOI: 10.1524/zpch.2012.0263] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
Abstract
Synthesis of colloidal particles which are sterically stabilized in water and at the same time isorefractive in aqueous dispersion has been achieved by copolymerizing a fluoracrylate monomer with a PEG-macromonomer. Colloidal stability against salt addition and freeze-thawing cycles is demonstrated, indicating that the particles consist of a core of fluoroacrylate and a stabilizing surface layer of grafted PEG. To test the performance as a model system for studies of colloidal vitrification in aqueous media, the dynamics of a binary mixture of these particles with a size ratio of 0.8 and a number ratio of 1.3 (small : large particles) were studied in an isorefractive mixture of water and DMSO (≈ 11 mol % DMSO). The characteristic features of a system close to the glass transition were observed in the density density autocorrelation function f(q, τ) as measured by DLS. However, the glass transition occurred at an unexpectedly low volume fraction of 0.262. This discrepancy correlates with an unusually large difference between TEM and DLS radii and is explained by the presence of a rather extended hairy PEG surface layer.
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Affiliation(s)
- Malte Wiemann
- Department of Physical Chemistry, Freiburg, Deutschland
| | - René Schneider
- Department of Macromolecular Chemistry, Freiburg, Deutschland
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21
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Lonetti B, Camargo M, Stellbrink J, Likos CN, Zaccarelli E, Willner L, Lindner P, Richter D. Ultrasoft colloid-polymer mixtures: structure and phase diagram. PHYSICAL REVIEW LETTERS 2011; 106:228301. [PMID: 21702636 DOI: 10.1103/physrevlett.106.228301] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/28/2011] [Indexed: 05/31/2023]
Abstract
Binary mixtures of ultrasoft colloids and linear polymer chains were investigated by small-angle neutron scattering and liquid state theory. We show that experimental data can be described by employing recently developed effective interactions between the colloid and the polymer chains, in which both components are modeled as point particles in a coarse-grained approach, in which the monomers have been traced out. Quantitative, parameter-free agreement between experiment and theory for the pair correlations, the phase behavior and the concentration dependence of the interaction length is achieved.
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Affiliation(s)
- B Lonetti
- JCNS-1 and ICS-1, Forschungszentrum Jülich, Jülich, Germany
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22
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Tückmantel T, Lo Verso F, N. Likos C. Ground states of ultrasoft particles with attractions: a genetic algorithm approach. Mol Phys 2010. [DOI: 10.1080/00268970902873562] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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23
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Stiakakis E, Wilk A, Kohlbrecher J, Vlassopoulos D, Petekidis G. Slow dynamics, aging, and crystallization of multiarm star glasses. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:020402. [PMID: 20365516 DOI: 10.1103/physreve.81.020402] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/11/2009] [Revised: 10/16/2009] [Indexed: 05/29/2023]
Abstract
Multiarm star polymers are model systems with tunable intermediate colloid to polymerlike character, exhibiting rich phase behavior, internal relaxations, and flow properties. An important puzzle for several years has been the lack of clear experimental proof of crystalline states despite strong theoretical predictions. We present unambiguous evidence via multispeckle dynamic light scattering (MSDLS) and small-angle neutron scattering (SANS) for such crystallization in a solvent of intermediate quality. An unexpected speed up of the short-time star diffusion observed in MSDLS was attributed by SANS to crystallization, via aging, of the multiam star glass. This delayed glass to crystal transition establishes a pathway for star crystallization that might be generic in colloidal glasses.
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Affiliation(s)
- E Stiakakis
- Foundation for Research & Technology-Hellas, IESL, Heraklion, Greece
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24
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Bonnecaze RT, Cloitre M. Micromechanics of Soft Particle Glasses. HIGH SOLID DISPERSIONS 2010. [DOI: 10.1007/12_2010_90] [Citation(s) in RCA: 59] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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25
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Lund R. Small Angle Neutron Scattering as a Tool to Study Kinetics of Block Copolymer Micelles. ACTA ACUST UNITED AC 2009. [DOI: 10.1007/978-3-642-03309-4_8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/18/2023]
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26
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Lund R, Willner L, Monkenbusch M, Panine P, Narayanan T, Colmenero J, Richter D. Structural observation and kinetic pathway in the formation of polymeric micelles. PHYSICAL REVIEW LETTERS 2009; 102:188301. [PMID: 19518915 DOI: 10.1103/physrevlett.102.188301] [Citation(s) in RCA: 65] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/03/2008] [Indexed: 05/27/2023]
Abstract
The route by which amphiphilic molecules self-assemble into micelles is still not fully understood. In this Letter, we present direct structural information on the birth and growth of block copolymer micelles by means of synchrotron x-ray scattering with millisecond time resolution. Using a quantitative model, we show that the self-assembly process can be viewed as a nucleation and growth type process where the elemental growth mechanism is an exchange of single molecules.
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Affiliation(s)
- Reidar Lund
- Donostia International Physics Center (DIPC), Paseo Manuel de Lardizabal, 3, 20018 Donostia-San Sebastián, Spain.
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27
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Kandar AK, Srivastava S, Basu JK, Mukhopadhyay MK, Seifert S, Narayanan S. Unusual dynamical arrest in polymer grafted nanoparticles. J Chem Phys 2009; 130:121102. [DOI: 10.1063/1.3090484] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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28
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Vlassopoulos D, Fytas G. From Polymers to Colloids: Engineering the Dynamic Properties of Hairy Particles. HIGH SOLID DISPERSIONS 2009. [DOI: 10.1007/12_2009_31] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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29
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Mayer C, Sciortino F, Likos CN, Tartaglia P, Löwen H, Zaccarelli E. Multiple Glass Transitions in Star Polymer Mixtures: Insights from Theory and Simulations. Macromolecules 2008. [DOI: 10.1021/ma801894x] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Christian Mayer
- Dipartimento di Fisica and CNR-INFM-SOFT, Università di Roma La Sapienza, Piazzale Aldo Moro 2, I-00185 Rome, Italy; Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-40225 Düsseldorf, Germany; The Erwin Schrödinger International Institute for Mathematical Physics (ESI), Boltzmanngasse 9, A-1090 Vienna, Austria; Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria; and Dipartimento
| | - Francesco Sciortino
- Dipartimento di Fisica and CNR-INFM-SOFT, Università di Roma La Sapienza, Piazzale Aldo Moro 2, I-00185 Rome, Italy; Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-40225 Düsseldorf, Germany; The Erwin Schrödinger International Institute for Mathematical Physics (ESI), Boltzmanngasse 9, A-1090 Vienna, Austria; Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria; and Dipartimento
| | - Christos N. Likos
- Dipartimento di Fisica and CNR-INFM-SOFT, Università di Roma La Sapienza, Piazzale Aldo Moro 2, I-00185 Rome, Italy; Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-40225 Düsseldorf, Germany; The Erwin Schrödinger International Institute for Mathematical Physics (ESI), Boltzmanngasse 9, A-1090 Vienna, Austria; Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria; and Dipartimento
| | - Piero Tartaglia
- Dipartimento di Fisica and CNR-INFM-SOFT, Università di Roma La Sapienza, Piazzale Aldo Moro 2, I-00185 Rome, Italy; Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-40225 Düsseldorf, Germany; The Erwin Schrödinger International Institute for Mathematical Physics (ESI), Boltzmanngasse 9, A-1090 Vienna, Austria; Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria; and Dipartimento
| | - Hartmut Löwen
- Dipartimento di Fisica and CNR-INFM-SOFT, Università di Roma La Sapienza, Piazzale Aldo Moro 2, I-00185 Rome, Italy; Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-40225 Düsseldorf, Germany; The Erwin Schrödinger International Institute for Mathematical Physics (ESI), Boltzmanngasse 9, A-1090 Vienna, Austria; Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria; and Dipartimento
| | - Emanuela Zaccarelli
- Dipartimento di Fisica and CNR-INFM-SOFT, Università di Roma La Sapienza, Piazzale Aldo Moro 2, I-00185 Rome, Italy; Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-40225 Düsseldorf, Germany; The Erwin Schrödinger International Institute for Mathematical Physics (ESI), Boltzmanngasse 9, A-1090 Vienna, Austria; Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria; and Dipartimento
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30
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Laurati M, Stellbrink J, Lund R, Willner L, Zaccarelli E, Richter D. Asymmetric poly(ethylene-alt-propylene)-poly(ethylene oxide) micelles: a system with starlike morphology and interactions. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2007; 76:041503. [PMID: 17994990 DOI: 10.1103/physreve.76.041503] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/04/2007] [Indexed: 05/25/2023]
Abstract
We report on an experimental study of single particle properties and interactions of poly(ethylene-alt-propylene)-poly(ethylene oxide) (PEP-PEO) starlike micelles. The starlike regime is achieved by an extremely asymmetric block ratio (1:20) and the number of arms (functionality) is changed by varying the composition of the solvent (the interfacial tension). Small angle neutron scattering (SANS) data in the dilute regime can be modeled by assuming a constant density profile in the micellar core (compact core) and a starlike density profile in the corona (starlike shell). The starlike morphology of the corona is confirmed by a direct comparison with SANS measurements of dilute poly butadiene star solutions. Comparison of structure factors obtained by SANS measurements in the concentrated regime shows in addition that the interactions in the two systems are equivalent. Micellar structure factors at several packing fractions can be modeled by using the ultrasoft potential recently proposed for star polymers [Likos, Phys. Rev. Lett. 80, 4450 (1998)]. The experimental phase diagram of PEP-PEO micelles is quantitatively compared to theoretical expectations, finding good agreement for the location of the liquid-solid boundary and excellent agreement for the critical packing fraction where the liquid-to-bcc crystal transition takes place for f<70. The functionality, i.e., the coronal density, strongly influences the nature of the solid phase: for f<70 the system crystallizes into a bcc phase, high f>70 formation of amorphous arrested states prevents crystallization.
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Affiliation(s)
- M Laurati
- Institut für Festkörperforschung, Forschungszentrum Jülich, 52425 Jülich, Germany.
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31
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Largo J, Tartaglia P, Sciortino F. Effective nonadditive pair potential for lock-and-key interacting particles: The role of the limited valence. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2007; 76:011402. [PMID: 17677436 DOI: 10.1103/physreve.76.011402] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/15/2007] [Indexed: 05/16/2023]
Abstract
Theoretical studies of self-assembly processes and condensed phases in colloidal systems are often based on effective interparticle potentials. Here we show that developing an effective potential for particles interacting with a limited number of "lock-and-key" selective bonds (due to the specificity of biomolecular interactions) requires-in addition to the nonsphericity of the potential-a (many body) constraint that prevents multiple bonding on the same site. We show the importance of retaining both valence and bond selectivity by developing, as a case study, a simple effective potential describing the interaction between colloidal particles coated by four single-strand DNA chains.
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Affiliation(s)
- Julio Largo
- Dipartimento di Fisica and INFM-CNR-SOFT, Università di Roma La Sapienza, Piazzale A. Moro 2, 00185 Roma, Italy
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32
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Abstract
The authors propose a mean-field model to explore the equilibrium coupling between micelle aggregation and lattice choice in neutral copolymer and selective solvent mixtures. They find both thermotropic and lyotropic transitions from face-centered cubic to body-centered cubic ordered phases of spherical micelles, in agreement with experimental observations of these systems over a broad range of conditions. The stability of the nonclosed packed phase can be attributed to two physical mechanisms: the large entropy of lattice phonons near crystal melting and the preference of the intermicelle repulsions for the body-centered cubic structure when the lattice becomes sufficiently dense at higher solution concentrations. Both mechanisms are controlled by the decrease of micelle aggregation and subsequent increase of lattice density as solvent selectivity is reduced. These results shed new light on the relationship between micelle structure--"crewcut" or "hairy"--and long-range order in micelle solutions.
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Affiliation(s)
- Gregory M Grason
- Department of Physics and Astronomy, University of California at Los Angeles, Los Angeles, California 90024, USA
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33
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Affiliation(s)
- Christian Mayer
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-40225 Düsseldorf, Germany
| | - Christos N. Likos
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-40225 Düsseldorf, Germany
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34
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Lo Verso F, Likos CN, Mayer C, Reatto L. Effect of attraction on the dynamical arrest of soft colloids. Mol Phys 2006. [DOI: 10.1080/00268970600976733] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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35
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Lund R, Willner L, Richter D, Dormidontova EE. Equilibrium Chain Exchange Kinetics of Diblock Copolymer Micelles: Tuning and Logarithmic Relaxation. Macromolecules 2006. [DOI: 10.1021/ma060328y] [Citation(s) in RCA: 142] [Impact Index Per Article: 7.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Reidar Lund
- Institute of Solid State Research, Forschungszentrum Jülich, D-52425 Jülich, Germany
| | - Lutz Willner
- Institute of Solid State Research, Forschungszentrum Jülich, D-52425 Jülich, Germany
| | - Dieter Richter
- Institute of Solid State Research, Forschungszentrum Jülich, D-52425 Jülich, Germany
| | - Elena E. Dormidontova
- Department of Macromolecular Science and Engineering, Case Western Reserve University, Cleveland, Ohio 44106-7202
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36
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Abstract
In this review we present a summary of recent progress achieved in examining the equilibrium and dynamical properties of concentrated solutions of two novel kinds of soft matter systems: and starburst molecules known as . The two systems share a host of interesting properties. The both consist of highly branched polymers, they allow for tuning of their properties through modification of the macromolecular architecture and they are both representatives of a quite novel class of colloidal particles, termed . On the other hand there are also important differences, reflecting the fundamental difference in their architecture. It will be shown that a combination of scattering techniques and rheology with computer simulations and analytical methods from the realm of theoretical physics can shed light on the unusual properties of such systems. In this fashion, new ways appear for the manipulation of soft matter systems under external influences and promising perspectives for the fabrication of new materials are opened up and the versatility in manipulating soft matter is underlined.
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Affiliation(s)
- Christos N Likos
- Institut für Theoretische Physik II, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, D-40225, Düsseldorf, Germany
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37
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Lauw Y, Leermakers FAM, Cohen Stuart MA, Borisov OV, Zhulina EB. Coexistence of Crew-Cut and Starlike Spherical Micelles Composed of Copolymers with an Annealed Polyelectrolyte Block. Macromolecules 2006. [DOI: 10.1021/ma060163t] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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38
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Pierleoni C, Addison C, Hansen JP, Krakoviack V. Multiscale coarse graining of diblock copolymer self-assembly: from monomers to ordered micelles. PHYSICAL REVIEW LETTERS 2006; 96:128302. [PMID: 16605964 DOI: 10.1103/physrevlett.96.128302] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/18/2006] [Indexed: 05/08/2023]
Abstract
Starting from a microscopic lattice model, we investigate clustering, micellization, and micelle ordering in semidilute solutions of AB diblock copolymers in a selective solvent. To bridge the gap in length scales, from monomers to ordered micellar structures, we implement a two-step coarse-graining strategy, whereby the AB copolymers are mapped onto ultrasoft dumbells with monomer-averaged effective interactions between the centers of mass of the blocks. Monte Carlo simulations of this coarse-grained model yield clear-cut evidence for self-assembly into micelles with a mean aggregation number n approximately 100 beyond a critical concentration. At a slightly higher concentration the micelles spontaneously undergo a disorder-order transition to a cubic phase. We determine the effective potential between these micelles from first principles.
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Affiliation(s)
- Carlo Pierleoni
- INFM CRS-SOFT, and Department of Physics, University of L'Aquila, I-67010 L'Aquila, Italy
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39
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Kumar P, Buldyrev SV, Sciortino F, Zaccarelli E, Stanley HE. Static and dynamic anomalies in a repulsive spherical ramp liquid: theory and simulation. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 72:021501. [PMID: 16196567 DOI: 10.1103/physreve.72.021501] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/04/2004] [Indexed: 05/04/2023]
Abstract
We compare theoretical and simulation results for static and dynamic properties for a model of particles interacting via a spherically symmetric repulsive ramp potential. The model displays anomalies similar to those found in liquid water, namely, expansion upon cooling and an increase of diffusivity upon compression. In particular, we calculate the state points P (rho,T) from the simulation and successfully compare it with the state points P (rho,T) obtained using the Rogers-Young (RY) closure for the Ornstein-Zernike (OZ) equation. Both the theoretical and the numerical calculations confirm the presence of a line of isobaric density maxima, and lines of compressibility minima and maxima. Indirect evidence of a liquid-liquid critical point is found. Dynamic properties also show anomalies. Along constant temperature paths, as the density increases, the dynamics alternate between slowing down and speeding up, and we associate this behavior with the progressive structuring and destructuring of the liquid. Finally we confirm that mode coupling theory successfully predicts the nonmonotonic behavior of dynamics and the presence of multiple glass phases, providing strong evidence that structure (the only input of mode coupling theory) controls dynamics.
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Affiliation(s)
- Pradeep Kumar
- Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA
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