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March 1, 1951The Journal of Chemical PhysicsOpen Access

The Visco-Elastic Properties of Solutions of Rod-Like Macromolecules

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Authors

JKJohn G. KirkwoodYale UniversityPAPeter AuerGraz University of Technology

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Implication

Theoretical analysis reveals how rotatory diffusion alters intrinsic viscosity and imparts rigidity to rod-like macromolecule solutions under periodic shear, indicating frequency-dependent stiffness.

Key Points

  • To evaluate the visco-elastic behavior and dynamic mechanical properties of rod-like macromolecule solutions subjected to periodic shear.
  • Applied the general statistical mechanical theory of irreversible processes to solutions containing rod-like macromolecules.
  • Calculated stress responses, rotatory diffusional torques, relaxation phase lag, intrinsic viscosity, and rigidity under oscillating shear waves across varying frequencies.
  • Rotatory diffusional torques contribute three-fourths (75%) of the total stationary intrinsic viscosity.
  • Application of periodic shear induces a relaxation phase lag in rotatory diffusion that imparts dynamic rigidity to the macromolecular solution.
  • As frequency increases, intrinsic viscosity drops to one-fourth (25%) of its stationary value, while the rigidity modulus rises to an asymptotic value of 3RT/5 per mole/cm³ of solute.

Cite This Study

Kirkwood et al. (1951) studied this question.

synapsesocial.com/papers/6a7be2144fcef545fadf8d5fhttps://doi.org/10.1063/1.1748194
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Also Consider

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  1. 1The Intrinsic Viscosity, Translational and Rotatory Diffusion Constants of Rod-Like Macromolecules in Solution1950 · 230 citations
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  3. 3The Influence of Brownian Movement on the Viscosity of Solutions.1940 · 711 citations
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  5. 5The Intrinsic Viscosities and Diffusion Constants of Flexible Macromolecules in Solution1948 · 1,406 citations