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The static structure factor of a system of fully aligned rod-like macroions

Conference paper
Part of the Progress in Colloid & Polymer Science book series (PROGCOLLOID, volume 73)

Abstract

“New Trends in Colliod Science” contains the proceedings of the foundation meeting of the European Colloid and Interface Society (ECIS), October 1–3, 1986. Representatives from the major European groups working in this field contributed to the conference. The volume contains an up-to-date account of present developments in Colloid Science. The contributions cover a wide scope of subjects, and provide encouragement that structures and transport processes in dense colloidal systems can be understood on basic principles. The main subjects are include:
  • phase diagrams of new surfactant systems

  • microemulsions and their applications

  • vesicles and bilayers

  • transport properties of colloidal systems.

Abstract

The static structure factor for fully aligned charged rod-like macromolecules is calculated from the Ornstein-Zernike equation in MSA-closure. The hard-core of the macroions is taken ellipsoidal. The reason for choosing ellipsoidal hard-cores is that the ellipsoid-of-nearest approach is conveniently mapped on the spheres by a simple contraction of the axis of alignment. The direct correlation function inside the contracted hard-core is expanded in a power series. The closure relation for the total correlation function is then satisfied if a certain non-linear functional in the expansion coefficients is zero. The numerical values for a finite set of expansion coefficients for which this functional is minimum are obtained by numerical methods.

Key words

Rod-like macromolecules static structure factor light scattering 

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References

  1. 1.
    For an extensive overview of the MSA-approximation and its relation to the Poisson-Boltzmann equation see: Blum L (1980) In: Eyring H, Henderson D (eds) Theoretical Chemistry: Advances and perspectives, Vol 5, Academic Press, pp 1–63Google Scholar
  2. 2.
    Pynn R (1975) J Phys Chem Solids 36:163CrossRefGoogle Scholar
  3. 3.
    Hayter JB, Pynn R (1982) Phys Rev Lett 49 (15):1103CrossRefGoogle Scholar
  4. 4.
    Dhont JKG (1986) J Chem Phys 85 (10):5983CrossRefGoogle Scholar

Copyright information

© Dr. Dietrich Steinkopff Verlag GmbH & Co. KG 1987

Authors and Affiliations

  1. 1.Fakultät für PhysikUniversität KonstanzKonstanzGermany

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