Adsorption of polymer chains onto charged spheres: Experiment and theory

Haronska, P.; Vilgis, Thomas A.; Grottenmüller, Ralf; Schmidt, Manfred

doi:10.1002/mats.1998.040070207

Cited by 14 publications

(21 citation statements)

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“…This dependence on is identical to that found by variational calculations [6,7]. Taking the dependence of the Kuhn length on into account -for flexible polymers, l ÿb l with b l 4=5 ÿ 5=4 is predicted [17,24]-we find j c j ÿ 11=5ÿ7=4 [6].…”

Section: -2supporting

confidence: 82%

“…However, the variational calculation of Ref. [7] predicts the same dependence on , but the numerical factors are rather different. The Kuhn segment length l of the polymer is independent of in this limit, as shown in Ref.…”

Section: -2mentioning

confidence: 87%

“…Despite significant efforts and progresses [5][6][7][8][9][10][11], the understanding of charged complexes is still unsatisfactory and lacks behind that of neutral complexes. Certain insight into the complexation process is typically obtained by approximation schemes, e.g., variational calculations [6 -9], which, however, may lead to controversial results [12] and often apply only in limiting situations such as pointlike particles [9] or large colloidal radii [6].The theoretical studies of the adsorption behavior of polyelectrolytes onto spherical surfaces [7,10,11,13,14] lead to the observation of a phase-transition-like behavior; i.e., a bound polymer state appears at certain critical conditions which depend on, e.g., the sphere radius and screening of the Coulomb interaction. The variational calculations of Muthukumar and his co-workers [6,8] have provided useful insight into this transition in the limit of large sphere radii.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

“…The theoretical studies of the adsorption behavior of polyelectrolytes onto spherical surfaces [7,10,11,13,14] lead to the observation of a phase-transition-like behavior; i.e., a bound polymer state appears at certain critical conditions which depend on, e.g., the sphere radius and screening of the Coulomb interaction. The variational calculations of Muthukumar and his co-workers [6,8] have provided useful insight into this transition in the limit of large sphere radii.…”

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confidence: 99%

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Critical Adsorption of Polyelectrolytes onto Charged Spherical Colloids

Winkler

Cherstvy

2006

Phys. Rev. Lett.

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The adsorption of a flexible polyelectrolyte in a salt solution onto an oppositely charged spherical surface is investigated. An analytical solution is derived, which is valid for any sphere radius and consistently recovers the result of a planar surface in the limit of large sphere radii, by substituting the Debye-Hückel potential via the Hulthén potential. Expressions for critical quantities such as the critical radius and the critical surface charge density are provide. A comparison of our theoretical results with experiments and computer simulations yields remarkable good agreement. DOI: 10.1103/PhysRevLett.96.066103 PACS numbers: 68.43.De, 82.35.Rs The complexation of charged macroions by oppositely charged polyelectrolytes is a fundamental process in biological systems and many technical applications. Particular examples are the complexation of histone proteins by DNA in nucleosomal core particles [1,2] as well as complexes of polyelectrolytes with charged colloids and micelles [3]. Industrial applications are as diverse as stabilization of colloidal suspensions, water treatment, and paper making [4].The understanding of the complexation between a polyion and a macroion surface accompanied by screening effects due to counterions and salt posses a major theoretical challenge [5]. Despite significant efforts and progresses [5][6][7][8][9][10][11], the understanding of charged complexes is still unsatisfactory and lacks behind that of neutral complexes. Certain insight into the complexation process is typically obtained by approximation schemes, e.g., variational calculations [6 -9], which, however, may lead to controversial results [12] and often apply only in limiting situations such as pointlike particles [9] or large colloidal radii [6].The theoretical studies of the adsorption behavior of polyelectrolytes onto spherical surfaces [7,10,11,13,14] lead to the observation of a phase-transition-like behavior; i.e., a bound polymer state appears at certain critical conditions which depend on, e.g., the sphere radius and screening of the Coulomb interaction. The variational calculations of Muthukumar and his co-workers [6,8] have provided useful insight into this transition in the limit of large sphere radii. Experiments on polyelectrolyte-protein and -micelle complexes [15] and computer simulations [14], however, typically yield dependencies of the critical quantities on the Debye screening length which deviate from the theoretical predictions. To understand and interpret the experimental results correctly, an analytical solution of the adsorption problem valid for any sphere radius is mandatory.In this Letter, we will present an exact solution for the critical adsorption of a flexible polyelectrolyte onto an oppositely charged spherical macroion. Expressions for critical quantities are provided, which are valid for any sphere radius. In particular, in the limit of zero macroion curvature, the results for a planar surface are obtained. In general, we find a significantly different dependence of the critica...

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Section: -2supporting

confidence: 82%

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confidence: 87%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Critical Adsorption of Polyelectrolytes onto Charged Spherical Colloids

Winkler

Cherstvy

2006

Phys. Rev. Lett.

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Preparation and Organization of Nanoscale Polyelectrolyte‐Coated Gold Nanoparticles

Mayya

Schoeler

Caruso

2003

Adv Funct Materials

180

130

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The layer‐by‐layer (LbL) desposition of oppositely charged polyelectrolytes from adsorption solutions of different ionic strength onto ∼7 nm diameter carboxylic acid‐derivatized gold nanoparticles has been studied. The polyelectrolyte‐modified nanoparticles were characterized by UV‐vis spectrophotometry, microelectrophoresis, analytical ultracentrifugation, and transmission electron microscopy. UV‐vis data showed that the peak plasmon absorption wavelength of the gold nanoparticles red‐shifted after each adsorption step, and microelectrophoresis experiments revealed a reversal in the surface charge of the nanoparticles following deposition of each layer. These data are consistent with the formation of polyelectrolyte layers on the nanoparticles. Analytical ultracentrifugation showed an increase in mean nanoparticle diameter on adsorption of the polyelectrolytes, confirming the formation of gold‐core/polyelectrolyte‐shell nanoparticles. Transmission electron microscopy studies showed no signs of aggregation of the polyelectrolyte‐coated nanoparticles. The adsorption of the polyelectrolyte‐coated gold nanoparticles onto oppositely charged planar supports has also been examined. UV‐vis spectrophotometry and atomic force microscopy showed increased amounts of nanoparticles were adsorbed with increasing ionic strength of the nanoparticle dispersions. This allows control of the nanoparticle surface loading by varying the salt content in the nanoparticle dispersions used for adsorption. The LbL strategy used in this work is expected to be applicable to other nanoparticles (e.g., semiconductors, phosphors), thus providing a facile means for their controlled surface modification through polyelectrolyte nanolayering. Such nanoparticles are envisaged to have applications in the biomedical and bioanalytical fields, and to be useful building blocks for the creation of advanced nanoparticle‐based films.

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Versatile strategies for fabricating polymer nanomaterials with controlled size and morphology

et al. 2008

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The development of reliable synthetic routes to polymer nanomaterials with well-defined size and morphology is a critical research topic in contemporary materials science. The ability to generate nanometer-sized polymer materials can offer unprecedented, interesting insights into the physical and chemical properties of the corresponding materials. In addition, control over shape and geometry of polymer nanoparticles affords versatile polymer nanostructures, encompassing nanospheres, core-shell nanoparticles, hollow nanoparticles, nanorods/ fibers, nanotubes, and nanoporous materials. This review summarizes a diverse range of synthetic methods (broadly, hard template synthesis, soft template synthesis, and template-free synthesis) for fabricating polymer nanomaterials. The basic concepts and significant issues with respect to the synthetic strategies and tools are briefly introduced, and the examples of some of the outstanding research are highlighted. Our aim is to present a comprehensive review of research activities that concentrate on fabrication of various kinds of polymer nanoparticles.

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Adsorption of polymer chains onto charged spheres: Experiment and theory

Cited by 14 publications

References 0 publications

Critical Adsorption of Polyelectrolytes onto Charged Spherical Colloids

Critical Adsorption of Polyelectrolytes onto Charged Spherical Colloids

Preparation and Organization of Nanoscale Polyelectrolyte‐Coated Gold Nanoparticles

Versatile strategies for fabricating polymer nanomaterials with controlled size and morphology

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