Light Scattering from Non-Gaussian Chains

Benoît, H.; Doty, Paul

doi:10.1021/j150510a025

Cited by 710 publications

(449 citation statements)

References 2 publications

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“…(30). For semiflexible Gaussian chains the contour length L = N ℓ b can also be written as L = n p ℓ p and the mean square end-to-end distance and gyration radius described in terms of n p and ℓ p are [46,48] …”

Section: A Theoretical Predictionsmentioning

confidence: 99%

Monte Carlo simulations of lattice models for single polymer systems

Hsu

2014

The Journal of Chemical Physics

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Single linear polymer chains in dilute solutions under good solvent conditions are studied by Monte Carlo simulations with the pruned-enriched Rosenbluth method up to the chain length N ∼ O(10 4 ). Based on the standard simple cubic lattice model (SCLM) with fixed bond length and the bond fluctuation model (BFM) with bond lengths in a range between 2 and √ 10, we investigate the conformations of polymer chains described by self-avoiding walks (SAWs) on the simple cubic lattice, and by random walks (RWs) and non-reversible random walks (NRRWs) in the absence of excluded volume (EV) interactions. In addition to flexible chains, we also extend our study to semiflexible chains for different stiffness controlled by a bending potential. The persistence lengths of chains extracted from the orientational correlations are estimated for all cases. We show that chains based on the BFM are more flexible than those based on the SCLM for a fixed bending energy. The microscopic differences between these two lattice models are discussed and the theoretical predictions of scaling laws given in the literature are checked and verified. Our simulations clarify that a different mapping ratio between the coarse-grained models and the atomistically realistic description of polymers is required in a coarse-graining approach due to the different crossovers to the asymptotic behavior.

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Section: A Theoretical Predictionsmentioning

confidence: 99%

Monte Carlo simulations of lattice models for single polymer systems

Hsu

2014

The Journal of Chemical Physics

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“…Scattering intensities were measured for 0.05 and 0.5 M aqueous NaCl solutions of Na PAMPS samples f-1 through f-8 at 25 C on a Fica 50-light scattering photogoniometer with vertically polarized incident light of 436 nm in an angular range from 22.5 (or 30) to 150…”

Section: Light Scatteringmentioning

confidence: 99%

“…Excess refractive indices of aqueous NaCl solutions of Na PAMPS were measured at 25 C for the wavelengths 0 of 436 and 546 nm using a modified Schulz-Cantow type differential refractometer. Data for undialyzed 0.05 M NaCl solutions of samples with viscosity-average molecular weights M v of 10 5 and 3 Â 10 3 showed the specific refractive index increments (@n=@c) of Na PAMPS to be essentially independent of molecular weight in the range of our interest.…”

Section: Light Scatteringmentioning

confidence: 99%

“…Weight-average molecular weights and z-to weight-average molecular weight ratios (M z =M w ) for samples f-9-f-14 were determined by sedimentation equilibrium with 0.5 M aqueous NaCl at 25 C as the solvent (see ref 22 for the procedure of data analysis). Use was made of a Beckman Optima XL-I ultracentrifuge with a diode laser of 0 ¼ 675 nm and an aluminum 12-mm double-sector cell.…”

Section: Sedimentation Equilibriummentioning

confidence: 99%

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Chain Stiffness and Excluded-Volume Effects in Polyelectrolyte Solutions: Characterization of Sodium Poly(2-acrylamido-2-methylpropanesulfonate) in Aqueous Sodium Chloride

Yashiro

Hagino

Sato

et al. 2006

Polym J

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ABSTRACT:Fourteen samples of sodium poly(2-acrylamido-2-methylpropanesulfonate) ranging in weight-average molecular weight from 1:7 Â 10 3 to 1:4 Â 10 6 have been studied by static light scattering (or sedimentation equilibrium) and viscometry to characterize the polyelectrolyte in 0.05 and 0.5 M aqueous NaCl at 25 C. The measured intrinsic viscosities (except for the two lowest molecular weights) and radii of gyration in the respective solvents are consistently described by combinations of the theories for unperturbed wormlike chains and excluded-volume effects (in the quasi-two-parameter scheme) with the parameter sets: q (the total persistence length) = 1.5 nm, M L (the linear mass density) = 900 nm À1 , d (the chain diameter) = 1.6 nm, and B (the excluded-volume strength) = 3 nm in 0.5 M aqueous NaCl and q ¼ 3:0 nm, M L ¼ 900 nm À1 , d ¼ 1:7 nm, and B ¼ 6:2 nm in 0.05 M aqueous NaCl. It is shown that the end effect on the electrostatic persistence length hardly affects the estimation of q in the aqueous salts.

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“…11 The approximate contour length (1/2) was calculated using the ratio of the molecular weight of polymer M to the molecular weight per unit contour length M L (M/M L ). 12 In other words, 1/2 is given by the following equation:…”

Section: ¹3mentioning

confidence: 99%

Molecular Weight Dependence of SiO2 Nanoparticle Agglomeration Behavior in Monodisperse PMMA–SiO2 Hybrid Suspension

et al. 2014

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The rapid agglomeration of SiO2 nanoparticles suspended in organic solvents, where the interactions between the PMMA chains and SiO2 are very weak and may be ignored, is, therefore, concluded to be “entanglement agglomeration mechanism” triggered by strong mutual entanglement effects occurring when the polymer chains come into contact, overlap, and mutually intrude each other at higher polymer concentrations, providing the driving force for particle agglomeration.

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Light Scattering from Non-Gaussian Chains

Cited by 710 publications

References 2 publications

Monte Carlo simulations of lattice models for single polymer systems

Monte Carlo simulations of lattice models for single polymer systems

Chain Stiffness and Excluded-Volume Effects in Polyelectrolyte Solutions: Characterization of Sodium Poly(2-acrylamido-2-methylpropanesulfonate) in Aqueous Sodium Chloride

Molecular Weight Dependence of SiO2 Nanoparticle Agglomeration Behavior in Monodisperse PMMA–SiO2 Hybrid Suspension

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