Osmotic pressure of linear, star, and ring polymers in semidilute solution. A comparison between experiment and theory

Merkle, G.; Burchard, Walther; Lutz, P.; Freed, Karl F.; Gao, Jun

doi:10.1021/ma00063a016

Cited by 42 publications

(45 citation statements)

References 10 publications

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“…In the past two decades, the great progress in the synthesis of highly qualified monodisperse polymer networks [31][32][33][34][35][36][37][38] has stimulated many experimental and theoretical studies of star polymers. More recently, star polymers with a huge number of arms has also been synthesized in a controlled fashion [39].…”

Section: Introductionmentioning

confidence: 99%

Scaling Theory and Computer Simulation of Star Polymers in Good Solvents

Ohno¹

2002

Condens. Matter Phys.

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The scaling theories and the results of the renormalization-group ε = 4 − d expansion ( d is the spatial dimensionality) as well as the computer simulations such as Monte Carlo simulations are extensively reviewed for star polymers with very long flexible arms of equal length in a dilute solution of the good solvent limit, with a close connection to general polymer networks. In particular, the asymptotic behaviour of the conformational and entropic quantities in the long chain limit is discussed in detail in terms of the polymer-magnetism analogy. Discussions are given not only for static properties such as the distribution functions and the osmotic pressure or entropy but also for dynamic properties such as the relaxation time and the intrinsic viscosity of star polymers.

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Section: Introductionmentioning

confidence: 99%

Scaling Theory and Computer Simulation of Star Polymers in Good Solvents

Ohno¹

2002

Condens. Matter Phys.

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“…1 The polymers of narrow molecular weight distribution were prepared by living anionic polymerization. Tertiary amino groups were introduced either by initiating polymerization 22 of styrene with (3-(dimethylamino)propyl)-lithium (DMAPLi), or by terminating living carbanions with 3-(dimethylamino)propyl chloride (DMAPCL). 5 SLS and DLS were performed simultaneously by using the ALV 3000 correlation spectrometer system.…”

Section: Methodsmentioning

confidence: 99%

“…Similarly, the semidilute solution behavior of the end-tagged PS corresponded to that of the unfunctionalized PS. 22 According to irreversible thermodynamics, the mutual diffusion coefficient D c contains both thermodynamical and frictional contributions 26 where k B is Boltzmann's constant, T the temperature in kelvin, f c the concentration-dependent friction coefficient, and π the osmotic pressure. Thus, if in addition to thermodynamic properties also the frictional properties of the amino-terminated PS are the same as for the untagged PS, then the concentration dependence of the mutual diffusion coefficient must be the same as for the untagged PS.…”

Section: Dilute Solution Behavior Of Amino-terminated Psmentioning

confidence: 99%

Association of Amino-Terminated Polystyrenes. 2. Dynamic Light Scattering of Associating Linear Chains

Merkle¹,

Burchard²

1996

Macromolecules

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Dynamic light scattering was used to study the associating coupling process of aminoterminated polystyrene chains with monofunctional and bifunctional dinitrophenol reagents. The tertiary amino end group and the end group which results from association with monofunctional dinitrophenol were found to have no effect on the solution behavior in good solvents. The interaction with the coupling reagent caused a decrease in the mutual diffusion coefficients Dc with increasing polymer concentration. Translational diffusion coefficients Dz°(c) of the associating polymers at each concentration c with a corresponding molecular weight Mw(c) were determined from Dc and its concentration dependence which is expressed by the kD parameter. The molecular weight dependence of the kD parameter was obtained from experimental values of linear polystyrenes in toluene. On the time scale of these experiments, the associates were found to show a diffusion behavior that corresponds to covalently linked chains. Apparently the lifetime of a complex is longer than the measurement time in typical experiments.

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“…The rate at whichΨ approaches one with increasing molecular weight depends on the details of the system (e.g., the polymer chemistry, solvent, temperature, etc.) [13,25,62,166].…”

Section: Dilute and Semidilute Regimesmentioning

confidence: 99%

“…The range of the topics of these researches is extremely wide. It includes the conformation properties of isolated star polymers [18,27,37,42,49,50,[52][53][54] and dilute star polymers solutions in good solvents [19,24,30,41,[43][44][45][46]48,55,56,[64][65][66], the second virial coefficient [45,46,48,55,56,67,68], equation of state and thermodynamic properties of star polymers in semidilute and concentrated regimes [14,22,25,28,62,63], freezing of star polymers [33,[58][59][60], adsorption [20,21,23], and star polymers grafted to a wall [29,31,46]. A special place in these studies occupy star polymers at theta conditions …”

Section: Introductionmentioning

confidence: 99%

Star Polymers in Good Solvents From Dilute to Concentrated Regimes: Crossover Approach

Lue

Kiselev²

2002

Condens. Matter Phys.

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An introduction is given to the crossover theory of the conformational and thermodynamic properties of star polymers in good solvents. The crossover theory is tested against Monte Carlo simulation data for the structure and thermodynamics of model star polymers. In good solvent conditions, star polymers approach a "universal" limit as N → ∞ ; however, there are two types of approach towards this limit. In the dilute regime, a critical degree of polymerization N * is found to play a similar role as the Ginzburg number in the crossover theory for critical phenomena in simple fluids. A rescaled penetration function is found to control the free energy of star polymer solutions in the dilute and semidilute regions. This equation of state captures the scaling behaviour of polymer solutions in the dilute/semidilute regimes and also performs well in the concentrated regimes, where the details of the monomer-monomer interactions become important.

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Osmotic pressure of linear, star, and ring polymers in semidilute solution. A comparison between experiment and theory

Cited by 42 publications

References 10 publications

Scaling Theory and Computer Simulation of Star Polymers in Good Solvents

Scaling Theory and Computer Simulation of Star Polymers in Good Solvents

Association of Amino-Terminated Polystyrenes. 2. Dynamic Light Scattering of Associating Linear Chains

Star Polymers in Good Solvents From Dilute to Concentrated Regimes: Crossover Approach

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