Many-bodied effects and the structure of colloidal crystals

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Kenneth S. Schmitz


Abstract

Experimental evidence indicates that under low ionic strength conditions suspensions of highly charged colloidal particles exhibit a two-state structure: a crystalline phase coexisting with a gas-like phase. We applied herein the juxtaposition of potential fields (JPF) method to two crystalline structures: simple-cubic (sc) and body-centered-cubic (bcc). It is concluded from the JPF approach that an inhomogeneous distribution of counterions exists within each lattice structure, with the higher ion concentration in its interior. It is also suggested that this inhomogeneity results in a long range attraction between the constituents of the crystalline structure due to the multi-bodied sharing of counterions in a manner similar to that of chemical bonding in molecules. Thus the "‘vibration’' motions of the colloidal particles must therefore vary within the JPF crystalline structure giving rise to paracrystalline behavior. The JPF crystal appears to share the properties of a phase transition with added salt as reported for polystyrene latex spheres by Matsuoka and co-workers. We also conclude that the sc structure is less resistant to shear than the bcc structure because of the interplane sharing of counterions for the latter configuration.


References

  1. E. J. Verwey and J. Th. G. Overbeek, Theory of the Stability of Lyophobic Colloids, 1948, Elsevier Publishing Co., Inc. New York Search PubMed.
  2. N. Singh, Doctoral Dissertation, University of Missouri–Kansas City, 1986.
  3. B. E. Conway and A. Dobry-Duclaux, in Rheology: Theory and Applications, ed. F. R. French, Interscience, New York, 1966, vol. 3, p. 97 Search PubMed.
  4. T. Okubo, Acc. Chem. Res., 1988, 21, 281 CrossRef CAS.
  5. T. Okubo, J. Am. Chem. Soc., 1990, 112, 5420 CrossRef CAS.
  6. B. Beresford-Smith, D. Y. C. Chan and D. J. Mitchell, J. Colloid Interface. Sci., 1985, 105, 216 CAS.
  7. J. W. Vanderhoff and H. J. van den Hul, J. Macromol. Sci. Chem., 1973, 7, 677 Search PubMed.
  8. T. Okubo, Naturwissenschaften, 1992, 79, 317 CAS.
  9. T. Okubo, Prog. Polym. Sci., 1993, 18, 481 CrossRef CAS.
  10. R. Williams and R. S. Crandall, Phys. Lett., 1974, 48A, 224 Search PubMed.
  11. N. A. Clark, A. J. Hurd and B. J. Ackerson, Nature, 1979, 281, 57 CAS.
  12. N. A. Clark and B. J. Ackerson, Phys. Rev. Lett., 1980, 44, 1005 CrossRef CAS.
  13. B. J. Ackerson and N. A. Clark, Phys. Rev. Lett., 1981, 46, 123 CrossRef CAS.
  14. N. A. Clark, B. J. Ackerson and A. J. Hurd, Phys. Rev. Lett., 1983, 50, 1459 CrossRef CAS.
  15. B. J. Ackerson and N. A. Clark, Phys. Rev. A, 1984, 30, 906 CrossRef CAS.
  16. N. A. Clark, B. J. Ackerson and T. W. Taylor, J. Phys. Coll. C3 Suppl., 1985, 46, C3-137 Search PubMed.
  17. B. J. Ackerson, J. B. Hayter, N. A. Clark and L. Cotter, J. Chem. Phys., 1986, 84, 2344 CrossRef CAS.
  18. T. Okubo, J. Chem. Soc., Faraday Trans., 1, 1984, 84, 1171 Search PubMed.
  19. P. A. Z. Rundquist, S. Jagannathan, R. Kesavamoorthy, C. Brnardic, S. Xu and S. W. A. Asher, J. Chem. Phys., 1991, 94, 711 CrossRef CAS.
  20. R. L. Hoffman, Trans. Soc. Rheol., 1972, 16, 155 Search PubMed.
  21. R. L. Hoffman, J. Colloid Interface Sci., 1974, 46, 491 CAS.
  22. R. Buscall, J. W. Goodwin, M. T. Hawkins and R. H. Ottewill, J. Chem. Soc., Faraday Trans., 1, 1982, 78, 2873 RSC.
  23. H. M. Lindsay and P. M. Chaikin, J. Chem. Phys., 1982, 76, 3774 CrossRef CAS.
  24. B. J. Ackerson and N. A. Clark, Physica, 1983, A118, 221 Search PubMed.
  25. M. Tomita and T. G. M. van de Ven, J. Colloid Interface. Sci., 1984, 99, 374 CrossRef CAS.
  26. B. J. Ackerson, T. W. Taylor and N. A. Clark, Phys. Rev. A, 1985, 31, 3183 CrossRef CAS.
  27. T. Yoshiyama, I. Sogami and N. Ise, Phys. Rev. Lett., 1984, 53, 2153 CrossRef CAS.
  28. N. Ise, T. Okubo, K. Ito, S. Dosho and I. Sogami, J. Colloid Interface Sci., 1985, 103, 292 CAS.
  29. K. Ito, H. Nakamura, H. Yoshida and N. Ise, J. Am. Chem. Soc., 1988, 110, 6955 CrossRef CAS.
  30. S. Dosho, N. Ise, K. Ito, S. Iwai, H. Kitano, H. Matsuoka, H. Nakamura, H. Okumura, T. Ono, I. Sogami, Y. Ueno, H. Yoshida and T. Yoshiyama, Langmuir, 1993, 9, 394 CrossRef CAS.
  31. H. Yoshida, N. Ise and T. Hashimoto, J. Chem. Phys., 1995, 103, 10 146 CrossRef CAS.
  32. A. E. Larsen and D. G. Grier, Phys. Rev. Lett., 1996, 76, 3862 CrossRef CAS.
  33. A. E. Larsen and D. G. Grier, Nature, 1997, 385, 230 CrossRef CAS.
  34. P. Debye and E. Hückel, Phys. Z., 1923, 24, 185 Search PubMed.
  35. I. Sogami and N. Ise, J. Chem. Phys., 1984, 81, 6320 CrossRef.
  36. R. van Roij and J.-P. Hansen, Phys. Rev. Lett., 1997, 79, 3082 CrossRef CAS.
  37. R. Penford, S. Nordholm, B. Jönsson and C. E. Woodward, J. Chem. Phys., 1990, 92, 1915 CrossRef.
  38. D. Alexander, P. M. Chaikin, P. Grant, G. J. Morales and P. Pincus, J. Chem. Phys., 1984, 80, 5776 CrossRef CAS.
  39. J. M. Roberts, P. Linse and J. G. Osteryoung, Langmuir, 1998, 14, 204 CrossRef CAS.
  40. K. S. Schmitz, Langmuir, 1997, 13, 5849 CrossRef CAS.
  41. R. F. W. Bader, T. S. Slee, D. Cremer and E. Krata, J. Am. Chem. Soc., 1983, 105, 5061 CrossRef CAS.
  42. R. F. W. Bader, Acc. Chem. Res., 1985, 18, 9 CrossRef CAS.
  43. J. Th. G. Overbeek, J. Chem. Phys., 1987, 87, 440 CrossRef CAS.
  44. C. E. Woodward, J. Chem. Phys., 1988, 89, 5140 CrossRef CAS.
  45. M. V. Smalley, Mol. Phys., 1990, 71, 1251 CAS.
  46. M. V. Smalley, W. Schärtl and T. Hashimoto, Langmuir, 1996, 12, 2340 CrossRef CAS.
  47. H. Matsuoka, T. Harada and H. Yamaoka, Langmuir, 1994, 10, 4423 CrossRef CAS.
  48. H. Matsuoka, T. Harada, K. Kago and H. Yamaoka, Langmuir, 1996, 12, 5588 CrossRef CAS.
  49. T. Harada, H. Matsuoka, T. Ikeda and H. Yamaoka, Langmuir, 1999, 15, 573 CrossRef CAS.
  50. R. Hosemann and S. N. Bagchi, Direct Analysis of Diffraction by Matter, North-Holland, Amsterdam, 1962 Search PubMed.
  51. H. Matsuoka, H. Tanaka, T. Hashimoto and N. Ise, Phys. Rev. B, 1987, 36, 1754 CrossRef.
  52. H. Matsuoka, H. Tanaka, N. Iizuka, T. Hashimoto and N. Ise, Phys. Rev. B, 1990, 41, 3854 CrossRef.
  53. B.-Y. Ha and A. Liu, Phys. Rev. Lett., 1997, 79, 1289 CrossRef CAS.
  54. B.-Y. Ha and A. Liu, Phys. Rev. Lett., 1998, 3, 1011 CrossRef.
  55. R. Podgornik and V. A. Parsegian, Phys. Rev. Lett, 1998, 80, 1560 CrossRef CAS.
  56. K. S. Schmitz, M. Lu, N. Singh and D. J. Ramsay, Biopolymers, 1984, 23, 1637 CAS.
  57. I. Langmuir, J. Chem. Phys., 1938, 6, 873 CAS.
  58. I. Michaeli, J. Th. G. Overbeek and M. J. Voorn, J. Polym. Sci., 1957, 23, 443 Search PubMed.
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