Skip to main content
SpringerLink
Log in

The Structure and Dynamics of Strongly Interacting Charged Colloidal Liquids

  • Chapter
Book cover Structure and Dynamics of Strongly Interacting Colloids and Supramolecular Aggregates in Solution

Part of the book series: NATO ASI Series ((ASIC,volume 369))

Abstract

The equilibrium structure and diffusional properties of charge-stabilized colloidal suspensions are reviewed. The integral equation theories of liquid state theory are used to calculate pair distribution functions and static structure factors. The elimination of the effects of counterions and salt ions in obtaining an effective potential between macroions is discussed. Using the resulting pair interaction structural properties are determined by using various closure relations for the Ornstein-Zernike equation. Comparisons with computer simulations and experiments show that the Rogers-Young closure scheme is the most appropriate for strongly coupled systems. Results are presented and discussed for binary mixtures and polydisperse suspensions of spherical particles and for systems consisting of charged rodlike particles. The discussion of the dynamics begins with treating the suspension in the framework of generalized hydrodynamics. This phenomenological approach provides the essential physics; it is formally equivalent to the memory equation formulation. The latter is used to calculate the memory functions in terms of the macroion interactions. Specific results are presented for self and tracer diffusion for highly charged colloidal particles and for collective diffusion in systems, where the combined effects of hydrodynamic and electrostatic interactions are important.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. P. Hansen, I. R. McDonald, Theory of Simple Liquids, Academic Press, London, 1976.

    Google Scholar 

  2. C. A. Croxton, Introduction to Liquid State Physics, Wiley, London, 1975.

    Google Scholar 

  3. E. Thiele, J. Chem. Phys. 39, 474 (1963).

    Article  ADS  Google Scholar 

  4. M. S. Wertheim, Phys. Rev. Letters 10, 321 (1963)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. J. Math. Phys. 5, 643 (1964).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. E.Waisman, J. L. Lebowitz, J. Chem. Phys. 56, 3086 (1972).

    Article  ADS  Google Scholar 

  7. L. Blum, Mol. Phys. 30, 1529 (1975).

    Article  ADS  Google Scholar 

  8. L. Blum, J. S. Hoye, J. Phys. Chem. 81, 1311 (1977).

    Article  Google Scholar 

  9. E. Waisman, Mol. Phys., 25, 45 (1973).

    Article  ADS  Google Scholar 

  10. J. S. Hoye, L. Blum, J. Stat. Phys. 16, 399 (1977).

    Article  ADS  Google Scholar 

  11. L. Blum, J. S. Hoye, J. Stat. Phys. 19, 317 (1978).

    Article  ADS  Google Scholar 

  12. L. Blum, J. Stat. Phys. 22, 661 (1980).

    Article  ADS  Google Scholar 

  13. J. B. Hayter, J. Penfold, Mol. Phys. 42, 109 (1981).

    Article  ADS  Google Scholar 

  14. J. K. Percus, Phys. Rev. Letters 8, 462 (1962).

    Article  ADS  Google Scholar 

  15. R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics, Wiley, New York, 1975.

    MATH  Google Scholar 

  16. F. J. Rogers, D. A. Young, Phys. Rev. 30A, 999 (1984).

    ADS  Google Scholar 

  17. J. P. Hansen, J. B. Hayter, Mol. Phys. 46, 651 (1982).

    Article  ADS  Google Scholar 

  18. E. J. W. Verwey, J. T. G. Overbeek, Theory of the Stability of Lyophobic Colloids, Elsevier, Amsterdam, 1948.

    Google Scholar 

  19. M. Medina-Noyola, D. A. McQuarrie, J. Chem. Phys. 73, 6279 (1980).

    Article  ADS  Google Scholar 

  20. B. Beresford-Smith, D. Y. C. Chan, D. J. Mitchell, J. Colloid Interf. Sci. 105, 216 (1985).

    Article  Google Scholar 

  21. L. Belloni, J. Chem. Phys. 85, 519 (1986).

    Article  ADS  Google Scholar 

  22. H. Ruiz-Estrada, M. Medina-Noyola, G. Nägele, Physica A 168, 919 (1990).

    Article  ADS  Google Scholar 

  23. K. Hiroike, Mol. Phys. 33, 1519 (1977)

    Article  MathSciNet  Google Scholar 

  24. J. Phys. Soc. Jap. 27, 1415 (1969).

    Article  ADS  Google Scholar 

  25. E. Arriela, C. Jedrzejec, K. N. Marck, J. Chem. Phys. 86, 3607 (1987).

    Article  ADS  Google Scholar 

  26. G. Pastore, Mol. Phys. 63, 731 (1988).

    Article  ADS  Google Scholar 

  27. M. Ginoza, J. Phys. Soc. Jap. 55, 95 (1986).

    Article  ADS  Google Scholar 

  28. K. Kremer, G. S. Gerst, M. O. Robbins, J. Phys. A 20, L181 (1987).

    Article  ADS  Google Scholar 

  29. N. Pistoor, K. Kremer, Progr. Colloid Polym. Sci. 81, 184 (1990).

    Article  Google Scholar 

  30. G. Nägele, M. Medina-Noyola, R. Klein, J. L. Arauz-Lara, Physica 149A, 123 (1988).

    ADS  Google Scholar 

  31. W. Van Megen, I. Snook, J. Chem. Phys. 66, 313 (1977).

    Google Scholar 

  32. M. O. Robbins, K. Kremer, G. S. Grest, J. Chem. Phys. 88, 3286 (1988).

    Article  ADS  Google Scholar 

  33. V. Vlachy, C. Pohar, A. D. J. Haymet, J. Chem. Phys. 88, 2066 (1988).

    Article  ADS  Google Scholar 

  34. P. van Beurten, A. Vrij, J. Chem. Phys. 74, 2744 (1981).

    Article  ADS  Google Scholar 

  35. J. J. Salacuse, G. Stell, J. Chem. Phys. 77, 3714 (1982).

    Article  ADS  Google Scholar 

  36. D. Frenkel, R. J. Vos, C. G. de Kruif, A. Vrij, J. Chem. Phys. 84, 4625 (1986).

    Article  ADS  Google Scholar 

  37. C. G. de Kruif, W. J. Briels, R. P. May, A. Vrij, Langmuir 4, 668 (1988).

    Article  Google Scholar 

  38. A. B. Bhatia, D. E. Thorton, Phys. Rev. B 2, 3004 (1970).

    Article  ADS  Google Scholar 

  39. B. D’Aguanno, R. Klein, J. Chem. Soc. Faraday Trans. 87, 379 (1991).

    Article  Google Scholar 

  40. R. Krause, G. Nägele, D. Karrer, J. Schneider, R. Klein, R. Weber, Physica 153A, 400 (1988).

    ADS  Google Scholar 

  41. N. Wagner, R. Krause, A. Rennie, B. D’Aguanno, J. Goodwin, J. Chem. Phys. 95, 494 (1991).

    Article  ADS  Google Scholar 

  42. D. Blankschtein, G. M. Thurston, G. B. Benedek, Phys. Rev. Letters 54, 955 (1985).

    Article  ADS  Google Scholar 

  43. D. Blankschtein, G. M. Thurston, M. R. Frisch, G. B. Benedek, J. Chem. Phys.84,4558 (1986).

    Article  ADS  Google Scholar 

  44. D. Blankschtein, G. M. Thurston, G. B. Benedek, J. Chem. Phys. 85, 7268 (1986).

    Article  ADS  Google Scholar 

  45. M. R. Stapleton, D. J. Tildesley, N. Quirke, J. Chem. Phys. 92, 4456 (1990).

    Article  ADS  Google Scholar 

  46. W. Haertl, C. Segschneider, H. Vermsmold, P. Linse, preprint (1990).

    Google Scholar 

  47. R. Krause, B. D’Aguanno, J. M. Mendez-Alcaraz, G. Nägele, R. Klein, R. Weber, J. Phys.: Condens. Matter 3, 4459 (1991).

    Article  ADS  Google Scholar 

  48. J. Menedz-Alcaraz, B. D’Aguanno, R. Klein, Physica A, to appear.

    Google Scholar 

  49. M. B. Weissman, J. Chem. Phys. 72, 231 (1980).

    Article  ADS  Google Scholar 

  50. D. L. Cebula, R. H. Ottewill, J. Ralston, P. N. Pusey, J. Chem. Soc. Trans. 1 77, 2585 (1981).

    Google Scholar 

  51. M. M. Kops-Werkhoven, C. Pathmamanoharan, A. Vrij, H. M. Fijnant, J. Chem. Phys. 77, 5913 (1982).

    Article  ADS  Google Scholar 

  52. P. N. Pusey, H. M. Fijnant, A. Vrij, J. Chem. Phys. 77, 4270 (1982).

    Article  ADS  Google Scholar 

  53. R. Klein, W. Hess, G. Nägele, in Physics of Complex and Supermolecular Fluids’, S. A. Safran, N. A. Clark (Editors); Wiley, New York, 1987, p. 643.

    Google Scholar 

  54. J. E. Faber, J. M. Ziman, Phil. Mag. 11, 153 (1965).

    Article  ADS  Google Scholar 

  55. B. V. R. Tata, R. Kesavamoorthy, A. K. Sood, Mol. Phys. 61, 943 (1987).

    Article  ADS  Google Scholar 

  56. R. Krause, B. D’Aguanno, J. M. Mendez-Alcaraz, G. Nägele, R. Klein, R. Weber, J. Phys.: Condens. Matter 3, 4459 (1991).

    Article  ADS  Google Scholar 

  57. E. E. Maier, S. F. Schulz, R. Weber, Macromolecules 21, 1544 (1988).

    Article  ADS  Google Scholar 

  58. S. F. Schulz, E. E. Maier, R. Weber, J. Chem. Phys. 90, 7 (1989).

    Article  ADS  Google Scholar 

  59. S. F. Schulz, E. E. Maier, R. Krause, M. Hagenbüchle, M. Deggelmann, R. Weber, J. Chem. Phys. 92, 7087 (1990).

    Article  ADS  Google Scholar 

  60. M. Hagenbüchle, B. Weyerich, M. Deggelmann, C. Graf, R. Krause, E. E. Maier, S. F. Schulz, R. Klein, R. Weber, Physica A 169, 29 (1990).

    Article  ADS  Google Scholar 

  61. S. L. Brenner, V. A. Parsegian, Biophys. 14, 327 (1974).

    Article  Google Scholar 

  62. A. Stroobants, H. N. W. Lekkerherker, T. Odijk, Macromolecules 19, 2232 (1986).

    Article  ADS  Google Scholar 

  63. J. Schneider, W. Hess, R. Klein, J. Phys. A 18, 1221 (1985).

    Article  ADS  Google Scholar 

  64. P. Straley, Phys. Rev. A 8, 2181 (1973).

    ADS  Google Scholar 

  65. M. Doi, J. Shimada, K. Okano, J. Chem. Phys. 88, 4070 (1988).

    Article  ADS  Google Scholar 

  66. C. G. Gray, K. E. Grubbins, Theory of Molecular Fluids, Clarendon Press, Oxford, 1984.

    MATH  Google Scholar 

  67. A. Perera, P. G. Kusalik, G. N. Patey, J. Chem. Phys. 87, 1295 (1987).

    Article  ADS  Google Scholar 

  68. J. Schneider, D. Karrer, J. K. D. Dhont, R. Klein, J. Chem. Phys. 87, 3008 (1987).

    Article  ADS  Google Scholar 

  69. J. Schneider, W. Hess, R. Klein, Macromolecules 19, 1729 (1986).

    Article  ADS  Google Scholar 

  70. B. Weyerich, B. D’Aguanno, E. Canessa, R. Klein, Faraday Disc. Chem. Soc. 90, 245 (1991).

    Article  Google Scholar 

  71. E. Canessa, B. D’Aguanno, B. Weyerich, R. Klein, Mol. Phys. 73, 175 (1991).

    Article  ADS  Google Scholar 

  72. S. Fraden, G. Maret, D.L.D. Caspar, R. B. Meyer, Phys. Rev. Letters 63, 2068 (1989).

    Article  ADS  Google Scholar 

  73. W. Hess, R. Klein, Adv. Phys. 32, 173 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  74. L. D. Landau, E. M. Lifshitz, Fluid Mechanics, Pergamon Press, London, 1963.

    MATH  Google Scholar 

  75. E. J. Hinch, J. Fluid Mech. 72, 499 (1975).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  76. A. Boullier, J. P. Boon, P. Deguent, J. Phys. (Paris) 39, 159 (1978).

    Article  Google Scholar 

  77. G. L. Paul, P. N. Pusey, J. Phys. A 14, 3301 (1981).

    Article  ADS  Google Scholar 

  78. K. Ohbayashi, T. Kohno, H. Utiyama, Phys. Rev. A 27, 2636 (1983).

    Article  ADS  Google Scholar 

  79. D. A. Weitz, D. J. Pine, P. N. Pusey, R. J. A. Tough, Phys. Rev. Letters 63, 1747 (1989).

    Article  ADS  Google Scholar 

  80. J. M. Deutch, I. Oppenheim, J. Chem. Phys. 54, 3547 (1971).

    Article  ADS  Google Scholar 

  81. T. J. Murphy, J. L. Aguirre, J. Chem. Phys. 57, 2098 (1972).

    Article  ADS  Google Scholar 

  82. J. M. Deutch, I. Oppenheim, Faraday Disc. Chem. Soc. 83, 1 (1987).

    Article  Google Scholar 

  83. G. K. Batchelor, Fluid Mech. 74, 1 (1976).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  84. B. U. Felderhof, J. Phys. A 11, 929 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  85. B. Cichocki, B. U. Felderhof, J. Chem. Phys. 89, 1049 (1988).

    Article  ADS  Google Scholar 

  86. B. U. Felderhof, Physica A 151,1 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  87. W. Van Saarloos, P. Mazur, Physica 120A, 77 (1983).

    ADS  Google Scholar 

  88. C. W. J. Beenakker, P. Mazur, Physica 120A, 398 (1983); 131A, 311 (1985).

    ADS  Google Scholar 

  89. P. Mazur, Faraday Disc. Chem. Soc. 83, 33 (1987).

    Article  Google Scholar 

  90. J. P. Boon, S. Yip, Molecular Hydrodynamics, McGraw-Hill, New York, 1980.

    Google Scholar 

  91. R. Klein, W. Hess, Faraday Disc. Chem. Soc. 76, 137 (1983).

    Article  Google Scholar 

  92. R. Klein, W. Hess, in Ionic Liquids, Molten Salts and Poly electrolytes, ed. K. H. Bennemann, F. Bouers and D. Quitmann; Lectures Notes in Physics 172, 199 (1982).

    Chapter  Google Scholar 

  93. G. Nägele, M. Medina-Noyola, R. Klein, J. L. Arauz-Lara, Physica 149A, 123 (1988).

    ADS  Google Scholar 

  94. R. Krause, G. Nägele, D. Karrer, J. Schneider, R. Klein, R. Weber, Physica A 153, 400 (1988).

    ADS  Google Scholar 

  95. J. L. Arauz-Lara, M. Medina-Noyola, J. Phys. A 19, L 117 (1986).

    Article  ADS  Google Scholar 

  96. R. Klein, G. Nägele, M. Medina-Noyola, in Ordering and Organisation in Ionic Solutions; N. Ise, I. Sogami (Editors); World Scientific, Singapore, 1988, p. 543.

    Google Scholar 

  97. W. D. Dozier, H. M. Lindsay, P. M. Chaikin, J. de Physique 46, Colloque C3, C3–165 (1985).

    Google Scholar 

  98. R. Krause, J. L. Arauz-Lara, G. Nägele, H. Ruiz-Estrada, M. Medina-Noyola, R. Weber, R. Klein, Physica A, to appear.

    Google Scholar 

  99. R. Krause, G. Nägele, M. Deggelmann, C. Graf, M. Hagenbüchle, H. Kramer, J. L. Arauz-Lara, R. Weber, J. Coll. Interf. Sci., to appear.

    Google Scholar 

  100. U. Genz, R. Klein, Physica A 171, 26 (1991).

    Article  ADS  Google Scholar 

  101. A. P. Philipse, A. Vrij, J. Chem. Phys. 88, 6459 (1988).

    Article  ADS  Google Scholar 

  102. S. Walrand, L. Belloni, M. Drifford, J. Phys. (France) 47, 1565 (1986).

    Article  Google Scholar 

  103. D. Chatenay, W. Urbach, R. Messager, D. Langevin, J. Chem. Phys. 86, 2343 (1987).

    Article  ADS  Google Scholar 

  104. G. Jannink, Macromol. Chem.,Macromol. Symp. 1, 67 (1986).

    Article  Google Scholar 

  105. U. Genz, M. Benmouna, R. Klein, Macromolecules, to appear.

    Google Scholar 

  106. U. Genz, R. Klein, M. Benmouna, J. Phys. France 50, 449 (1989).

    Article  Google Scholar 

  107. R. Koyama, Macromolecules 17, 1594 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  108. R. Koyama, Macromolecules 19, 178 (1986).

    Article  ADS  Google Scholar 

  109. T. Odijk, Macromolecules 12, 688 (1979).

    Article  ADS  Google Scholar 

  110. T. Odijk, A. C. Houwaart, J. Polym. Sci., Polym. Phys. Ed. 16, 627 (1978).

    Article  ADS  Google Scholar 

  111. U. Genz, R. Klein, J. Phys. France 50, 439 (1989).

    Article  Google Scholar 

  112. M. Nierlich, C. E. Williams, F. Boué, J. P. Cotton, M. Daoud, B. Farnoux, G. Jannink, C. Picot, M. Moan, C. Wolff, M. Rinaudo, P. G. de Gennes, J. Phys. France 40, 701 (1979).

    Article  Google Scholar 

  113. F. Nallet, G. Jannink, J. B. Hayter, R. Oberthür, C. Picot, J. Phys. France 44, 87 (1983).

    Article  Google Scholar 

  114. A. Z. Akcasu, B. Hammouda, T. P. Lodge, C. C. Han, Macromolecules 17, 759 (1984).

    Article  ADS  Google Scholar 

  115. T. Kanaya, K. Kaji, R. Kitamura, J. S. Higgins, B. Farago, Macromolecules 22, 1356 (1989).

    Article  ADS  Google Scholar 

  116. J. Hayter, G. Jannink, F. Brochard-Wyart, P. G. de Gennes, J. Phys. (Orsay, France) 41, L–451 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fakultät für Physik, Universität Konstanz, D-7750, Konstanz, Germany

    Rudolf Klein

Authors
  1. Rudolf Klein
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA

    Sow-Hsin Chen

  2. Corporate Research, Exxon Research and Engineering Company, Annandale, NJ, USA

    John S. Huang

  3. Dipartimento di Fisica, Università di Roma la Sapienza, Rome, Italy

    Piero Tartaglia

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Klein, R. (1992). The Structure and Dynamics of Strongly Interacting Charged Colloidal Liquids. In: Chen, SH., Huang, J.S., Tartaglia, P. (eds) Structure and Dynamics of Strongly Interacting Colloids and Supramolecular Aggregates in Solution. NATO ASI Series, vol 369. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2540-6_3

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-2540-6_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5122-4

  • Online ISBN: 978-94-011-2540-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation