Journal ArticleDOI
Light Scattering and Hydrodynamic Properties of Polymer Chains with Excluded Volume Effects
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In this paper, the implications of the Domb-Gillis-Wilmers distribution function PN(R) = CNRδexp−(R /σ)δ for end-to-end distances R in polymer chains of N segments with excluded volume effects were considered.Abstract:
This paper considers the implications of the Domb–Gillis–Wilmers distribution function PN(R) = CNRδexp−(R / σ)δ for end‐to‐end distances R in polymer chains of N segments with excluded volume effects. CN is a normalizing constant; e is related to the standard deviation of R; and, according to Fisher, δ = 2 / (1 − e), where e is defined by 〈R2〉 = b2N1+e for polymers with step length b. We have calculated the angular dependence of light scattering, the translational frictional coefficient and intrinsic viscosity, and the dimensional statistics of cyclic chains. Comparison has been made with a previously used distribution function which took excluded volume effects into account in a less well‐founded way. The present distribution function gives properties which differ measurably from those obtained with the previous one, reflecting the greater average expansion of the chain implied by the distribution proposed by Domb et al.read more
Citations
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Investigation of the flexibility of DNA using transient electric birefringence.
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Journal ArticleDOI
Rayleigh Scattering by Linear Flexible Macromolecules
TL;DR: In this article, the specific reduced scattered intensity at infinite dilution was determined for 18 scattering angles in the range of 9°−150°, in trans−decalin at 9.6° (theta temperature), 15.2, 29.4, 91.3°C, and in benzene at 30.0°C.
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Hydrodynamic properties of ring macromolecules with increasing chain stiffness and excluded volume
TL;DR: In this article, the Bloomfield-Zimm and Simon version of the Zimm springbead model has been used to investigate the effect of local chain stiffness and excluded volume in circular macromolecules.
Journal ArticleDOI
On the ring‐to‐chain ratios of radii of gyration and sedimentation coefficients of polymers of the freely jointed model: Monte Carlo calculations and the ε method
TL;DR: In this article, the configurations of ring polymers of the freely jointed model (with excluded volume effect) are generated on a computer using an efficient ring-generation method recently developed by us.
References
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Journal ArticleDOI
Dynamics of Polymer Molecules in Dilute Solution: Viscoelasticity, Flow Birefringence and Dielectric Loss
TL;DR: In this paper, the authors considered the problem of diffusing a chain molecule diffusing in a viscous fluid under the influence of external forces or currents, and calculated the viscosity, birefringence of flow, and dielectric and tensile relaxation behavior explicitly.
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The Dimensions of Chain Molecules Containing Branches and Rings
TL;DR: In this paper, the mean square radii of various branched and ringed polymer molecules were derived under the usual assumptions regarding the statistics of chain configuration, and it was shown that the number of branches or rings can be determined from light scattering measurements.
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The general theory of irreversible processes in solutions of macromolecules
TL;DR: In this article, a general theory of irreversible processes in solutions of macromolecules, previously formulated by the author, is reviewed and applied to viscoelastic behavior, flow birefringence, and the Kerr effect, and to dielectric dispersion.
Journal ArticleDOI
Shape of a Self‐Avoiding Walk or Polymer Chain
TL;DR: In this article, it was shown that the probability density of self-avoiding walks of m steps which reach the point r is a function of the number of steps, and that the generating function P(θ,r)= ∑ n=1∞pn(r)exp(−nθ) decays exponentially with r. This result was used to derive restrictions on the form of the distribution pn(r).
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Viscosity, Sedimentation, et Cetera, of Ring- and Straight-Chain Polymers in Dilute Solution
Victor Bloomfield,Bruno H. Zimm +1 more
TL;DR: The hydrodynamic properties of straight-chain and ring-chain polymers whose dimensions are expanded over those of similar Gaussian coils have been calculated by a perturbation method based on the normal-coordinate treatment with hydrodynamic interaction as discussed by the authors.