Colloids and the Depletion Interaction pp 131-175

Part of the Lecture Notes in Physics book series (LNP, volume 833)

Stability of Colloid–Polymer Mixtures

Chapter

Abstract

When a dispersion containing spherical colloids is mixed with a polymer solution two kinds of instabilities can occur: bridging flocculation (1) caused by adsorbing polymer or unmixing driven by the depletion force (2). The type of instability encountered depends on whether the polymers adsorb onto the colloidal surfaces. Polymer adsorption occurs when the contact between the colloid surface and the polymer segments is energetically favorable to such a degree that the loss of configurational entropy is compensated. When the amount of adsorbing polymer in the system does not suffice to fully cover all available surface area on the colloids, so-called bridging flocculation occurs. Some polymers then attach to more than a single particle leading to aggregates or complexes, which tend to sediment when they are large (situation ‘1’). Such a flocculation with both colloids and polymers concentrated in one part of a container indicates polymer adsorption. When all particle surfaces are saturated with adsorbed polymers in a good solvent, the particle interactions are effectively repulsive because dense polymer layers overlap upon close approach giving rise to steric repulsion, which kinetically stabilizes the dispersion.

References

  1. 1.
    G.J. Fleer, M.A. Cohen Stuart, J.M.H.M. Scheutjens, T. Cosgrove, B. Vincent, Polymers at Interfaces. (Chapman and Hall, New York, 1993)Google Scholar
  2. 2.
    E.G.M. Pelssers, M.A. Cohen Stuart, G.J. Fleer, J. Chem. Soc. Faraday Trans. 86, 1355 (1990)CrossRefGoogle Scholar
  3. 3.
    P.M. Golz, Dynamics of colloids in polymer solutions, Ph.D. thesis, University of Edinburgh, Edinburgh, 1999Google Scholar
  4. 4.
    C. Gögelein, G. Nägele, J. Buitenhuis, R. Tuinier, J.K.G. Dhont, J. Chem. Phys. 130, 204905 (2009)ADSCrossRefGoogle Scholar
  5. 5.
    C.M. Wijmans, E.B. Zhulina, G.J. Fleer, Macromolecules 27, 3238 (1994)ADSCrossRefGoogle Scholar
  6. 6.
    A.K. Van Helden, J.W. Jansen, A. Vrij, J. Colloid Interface Sci. 81, 354 (1981)CrossRefGoogle Scholar
  7. 7.
    C.G. de Kruif, P.W. Rouw, J.W. Jansen, A. Vrij, J. de Physique 46, C3–295 (1985)Google Scholar
  8. 8.
    C.G. de Kruif, R.P. Briels, A. May, Langmuir 4, 668 (1988)CrossRefGoogle Scholar
  9. 9.
    L. Antl, J.W. Goodwin, R.D. Hill, R.H. Ottewill, S.M. Owens, S. Papworth, J.A. Water, Colloids Surf. 17, 67 (1986)CrossRefGoogle Scholar
  10. 10.
    P. Bartlett, R.H. Ottewill, P.N. Pusey, J. Chem. Phys. 93, 1299 (1990)ADSCrossRefGoogle Scholar
  11. 11.
    P.N. Pusey, W. Van Megen, Nature 320, 340 (1986)ADSCrossRefGoogle Scholar
  12. 12.
    B.A.L. Castello, P.F. Luckham, T.F. Tadros, Langmuir 8, 464 (1986)CrossRefGoogle Scholar
  13. 13.
    C.G. Berry, J. Phys. Chem. 44, 1550 (1966)Google Scholar
  14. 14.
    L. Starrs, P. Bartlett, Faraday Disc. 51, 123 (2003)Google Scholar
  15. 15.
    W.C.K. Poon, J. Phys. Condens. Matter 14, R859 (2002)ADSCrossRefGoogle Scholar
  16. 16.
    S.M. Ilett, A. Orrock, W.C.K. Poon, P.N. Pusey, Phys. Rev. E 51, 1344 (1995)ADSCrossRefGoogle Scholar
  17. 17.
    R. Tuinier, P.A. Smith, W.C.K. Poon, S.U. Egelhaaf, D.G.A.L. Aarts, H.N.W. Lekkerkerker, G.J. Fleer, Europhys. Lett. 82, 68002 (2008)ADSCrossRefGoogle Scholar
  18. 18.
    H.N.W. Lekkerkerker, W.C.K. Poon, P.N. Pusey, A. Stroobants, P.B. Warren, Europhys. Lett. 20, 559 (1992)ADSCrossRefGoogle Scholar
  19. 19.
    R. Tuinier, J.K.G. Dhont, C.G. de Kruif, Langmuir 16, 1497 (2000)CrossRefGoogle Scholar
  20. 20.
    S. Ramakrishnan, M. Fuchs, K.S. Schweizer, C.F. Zukoski, J. Chem. Phys. 116, 2201 (2002)ADSCrossRefGoogle Scholar
  21. 21.
    I. Lynch, S. Cornen, L. Piculell, J. Phys. Chem. B 108, 5443 (2004)CrossRefGoogle Scholar
  22. 22.
    Y. Hennequin, M. Evens, C.M. Quezada Angulo, J.S. Van Duijneveldt, J. Chem. Phys. 123, 054906 (2005)ADSCrossRefGoogle Scholar
  23. 23.
    Z.X. Zhang, J.S. van Duijneveldt, Langmuir 22, 63 (2006)CrossRefGoogle Scholar
  24. 24.
    C.F. Tejero, A. Daanoun, H.N.W. Lekkerkerker, M. Baus, Phys. Rev. Lett. 73, 752 (1994)ADSCrossRefGoogle Scholar
  25. 25.
    G.J. Fleer, R. Tuinier, Physica A 379, 52 (2007)ADSCrossRefGoogle Scholar
  26. 26.
    A. Moussaïd, W.C.K. Poon, P.N. Pusey, M.F. Soliva, Phys. Rev. Lett. 82, 225 (1999)ADSCrossRefGoogle Scholar
  27. 27.
    J.A. Thomson, P. Schurtenberger, G.M. Thurston, G.B. Benedek, PNAS 84, 7079 (1987)ADSCrossRefGoogle Scholar
  28. 28.
    P.R. Ten Wolde, D. Frenkel, Science 277, 1975 (1997)CrossRefGoogle Scholar
  29. 29.
    C. Haas, J. Drenth, J. Cryst. Growth 196, 388 (1999)ADSCrossRefGoogle Scholar
  30. 30.
    S. Auer, D. Frenkel, Nature 409, 1020 (2001)ADSCrossRefGoogle Scholar
  31. 31.
    R. Sear, J. Chem. Phys. 114, 3170 (2001)ADSCrossRefGoogle Scholar
  32. 32.
    A. Fortini, E. Sanz, M. Dijkstra, Phys. Rev. E 78, 041402 (2008)ADSCrossRefGoogle Scholar
  33. 33.
    E. Zaccarelli, J. Phys. Condens. Matter 19, 323101 (2007)CrossRefGoogle Scholar
  34. 34.
    F. Leal-Calderon, J. Bibette, J. Biais, Europhys. Lett. 23, 653 (1993)ADSCrossRefGoogle Scholar
  35. 35.
    M.A. Faers, P.F. Luckham, Langmuir 13, 2922 (1997)CrossRefGoogle Scholar
  36. 36.
    D.G.A.L. Aarts, R. Tuinier, H.N.W. Lekkerkerker, J. Phys. Condens. Matter 14, 7551 (2002)ADSCrossRefGoogle Scholar
  37. 37.
    P.J. Flory, Principles of Polymer Chemistry. (Cornell University Press, New York, 1953)Google Scholar
  38. 38.
    L. Schäfer, Excluded Volume Effects in Polymer Solutions. (Springer, Heidelberg, 1999)Google Scholar
  39. 39.
    G.J. Fleer, R. Tuinier, Adv. Colloid Interface Sci. 143, 1–47 (2008)CrossRefGoogle Scholar
  40. 40.
    P.G. De Gennes, Scaling Concepts in Polymer Physics. (Cornell University Press, Ithaca, 1979)Google Scholar
  41. 41.
    G.J. Fleer, A.M. Skvortsov, R. Tuinier, Macromol Theory Sim. 16, 531 (2007)CrossRefGoogle Scholar
  42. 42.
    S.F. Edwards, Proc. Phys. Soc. 85, 613 (1965)ADSMATHMathSciNetCrossRefGoogle Scholar
  43. 43.
    S.F. Edwards, K.F. Freed, J. Phys. A 2, 145 (1969)ADSCrossRefGoogle Scholar
  44. 44.
    M. Doi, S.F. Edwards, The Theory of Polymer Dynamics. (Clarendon Press, Oxford, 1986)Google Scholar
  45. 45.
    G.J. Fleer, A.M. Skvortsov, R. Tuinier, Macromolecules 36, 7857 (2003)ADSCrossRefGoogle Scholar
  46. 46.
    J.F. Joanny, L. Leibler, P.G. De Gennes, J. Polym. Sci. Polym. Phys. 17, 1073 (1979)ADSGoogle Scholar
  47. 47.
    E. Eisenriegler, J. Chem. Phys. 79, 1052 (1983)ADSCrossRefGoogle Scholar
  48. 48.
    R. Tuinier, G.A. Vliegenthart, H.N.W. Lekkerkerker, J. Chem. Phys. 113, 10768 (2000)ADSCrossRefGoogle Scholar
  49. 49.
    A. Hanke, E. Eisenriegler, S. Dietrich, Phys. Rev. E 59, 6853 (1999)ADSCrossRefGoogle Scholar
  50. 50.
    H. Yamakawa, Modern Theory of Polymer Solutions. (Harper and Row, New York, 1971)Google Scholar
  51. 51.
    A. Fortini, P.G. Bolhuis, M. Dijkstra, J. Chem. Phys. 128, 024904 (2008)ADSCrossRefGoogle Scholar
  52. 52.
    P.G. Bolhuis, A.A. Louis, J.P. Hansen, Phys. Rev. Lett. 89, 128302 (2002)ADSCrossRefGoogle Scholar
  53. 53.
    C. Gögelein, R. Tuinier, Eur. Phys. J. E 27, 171 (2008)CrossRefGoogle Scholar
  54. 54.
    R. Tuinier, C.G. de Kruif, J. Chem. Phys. 110, 9296 (1999)ADSCrossRefGoogle Scholar
  55. 55.
    G.J. Fleer, R. Tuinier, Phys. Rev. E 76, 041802 (2007)ADSCrossRefGoogle Scholar
  56. 56.
    P.G. Bolhuis, E.J. Meijer, A.A. Louis, Phys. Rev. Lett. 90, 068304 (2003)ADSCrossRefGoogle Scholar
  57. 57.
    K.J. Mutch, J.S. van Duijneveldt, J. Eastoe, I. Grillo, R.K. Heenan, Langmuir 25, 3944 (2009)CrossRefGoogle Scholar
  58. 58.
    K.J. Mutch, J.S. van Duijneveldt, J. Eastoe, I. Grillo, R.K. Heenan, Langmuir 26, 1630 (2010)CrossRefGoogle Scholar
  59. 59.
    S. Asakura, F. Oosawa, J. Chem. Phys. 22, 1255 (1954)ADSGoogle Scholar
  60. 60.
    R. Tuinier, A.V. Pethukhov, Macromol Theory Simul. 11, 975 (2002)CrossRefGoogle Scholar
  61. 61.
    D. Goulding, J.P. Hansen, Mol. Phys. 99, 865 (2001)ADSCrossRefGoogle Scholar
  62. 62.
    Y. Mao, J. Phys. 5, 1761 (1995)Google Scholar
  63. 63.
    J. van der Gucht, N.A.M. Besseling, van J. Male, M.A. Cohen Stuart, J. Chem. Phys. 112, 2886 (2000)ADSCrossRefGoogle Scholar
  64. 64.
    A.A. Louis, P.G. Bolhuis, J.P. Hansen, E.J. Meijer, Phys. Rev. Lett. 85, 2522 (2000)ADSCrossRefGoogle Scholar
  65. 65.
    R. Sear, D. Frenkel, Phys. Rev. E 55, 1677 (1997)ADSCrossRefGoogle Scholar
  66. 66.
    P.B. Warren, Langmuir 13, 4388 (1997)CrossRefGoogle Scholar
  67. 67.
    M. Fasolo, P. Sollich, J. Phys. Condens. Matter 17, 797 (2005)ADSCrossRefGoogle Scholar
  68. 68.
    P. Paricaud, S. Varga, P.T. Cummings, G.J. Jackson, Chem. Phys. Lett. 398, 489 (2004)ADSCrossRefGoogle Scholar
  69. 69.
    P.G. Bolhuis, D.A. Kofke, Phys. Rev. E 54, 634 (1996)ADSCrossRefGoogle Scholar
  70. 70.
    P.N. Pusey, J. Phys. 48, 709 (1987)CrossRefGoogle Scholar
  71. 71.
    M. Fasolo, P. Sollich, J. Chem. Phys. 122, 074904 (2005)ADSCrossRefGoogle Scholar
  72. 72.
    V.Ya. Grinberg, V.B. Tolstoguzov, Food Hydrocolloids 11, 145 (1997)CrossRefGoogle Scholar
  73. 73.
    S. Finet, A. Tardieu, J. Cryst. Growth 232, 40 (2001)ADSCrossRefGoogle Scholar
  74. 74.
    M. Casselyn, J. Perez, A. Tardieu, P. Vachette, J. Witz, H. Delacroix, Acta Cryst. D 57, 1799 (2001)CrossRefGoogle Scholar
  75. 75.
    P.D. Patel, W.B. Russel, J. Colloid Interface Sci. 131, 192 (1989)CrossRefGoogle Scholar
  76. 76.
    O. Annunziata, N. Asherie, A. Lomakin, J. Pande, O. Ogun, G.B. Benedek, PNAS 99, 14165 (2002)ADSCrossRefGoogle Scholar
  77. 77.
    C.P. Royall, D.G.A.L. Aarts, H. Tanaka, J. Phys. Condens. Matter 17, S3401 (2005)ADSCrossRefGoogle Scholar
  78. 78.
    M.R. Böhmer, O.A. Evers, J.M.H.M. Scheutjens, Macromolecules 23, 2288 (1990)ADSCrossRefGoogle Scholar
  79. 79.
    J.Y. Walz, A. Sharma, J. Colloid Interface Sci. 168, 485 (1994)CrossRefGoogle Scholar
  80. 80.
    P.G. Ferreira, M. Dymitrowska, L. Belloni, J. Chem. Phys. 113, 9849 (2000)ADSCrossRefGoogle Scholar
  81. 81.
    A.R. Denton, M. Schmidt, J. Chem. Phys. 122, 244911 (2005)ADSCrossRefGoogle Scholar
  82. 82.
    A. Fortini, M. Dijkstra, R. Tuinier, J. Phys. Condens. Matter 17, 7783–7803 (2005)ADSCrossRefGoogle Scholar
  83. 83.
    J. Zhou, J.S. van Duijneveldt, B. Vincent, Langmuir 26, 9397 (2010)CrossRefGoogle Scholar
  84. 84.
    A. Stradner, H. Sedgwick, F. Cardinaux, W.C.K. Poon, S.U. Egelhaaf, Nature 432, 492 (2004)ADSCrossRefGoogle Scholar
  85. 85.
    H. Sedgwick, S.U. Egelhaaf, W.C.K. Poon, J. Phys. Condens. Matter 16, 4913 (2004)ADSCrossRefGoogle Scholar
  86. 86.
    J. Groenewold, W.K. Kegel, J. Phys. Chem. B 66, 066108 (2002)Google Scholar
  87. 87.
    F. Sciortino, S. Mossa, E. Zaccarelli, P. Tartaglia, Phys. Rev. Lett. 93, 055701 (2004)ADSCrossRefGoogle Scholar
  88. 88.
    O.A. Croze, M.E. Cates, Langmuir 21, 5627 (2005)CrossRefGoogle Scholar
  89. 89.
    R. Tadmor, E. Hernandez-Zapata, N. Chen, P. Pincus, J.N. Israelachvili, Macromolecules 35, 2380 (2002)ADSCrossRefGoogle Scholar
  90. 90.
    T. Odijk, Langmuir 13, 3579 (1997)CrossRefGoogle Scholar
  91. 91.
    T. Odijk, Macromolecules 29, 1842 (1996)ADSCrossRefGoogle Scholar
  92. 92.
    V.J. Anderson, H.N.W. Lekkerkerker, Nature 416, 811 (2002)ADSCrossRefGoogle Scholar
  93. 93.
    J.W. Cahn, J.E. Hillard, J. Phys. Chem. 28, 258 (1958)CrossRefGoogle Scholar
  94. 94.
    J.W. Cahn, J.E. Hillard, J. Phys. Chem. 31, 688 (1959)CrossRefGoogle Scholar
  95. 95.
    J.K.G. Dhont, An Introduction to Dynamics of Colloids. (Elsevier, Amsterdam, 1996)Google Scholar
  96. 96.
    N.A.M. Verhaegh, J.S. van Duijneveldt, J.K.G. Dhont, H.N.W. Lekkerkerker, Physica A 230, 409 (1996)ADSCrossRefGoogle Scholar
  97. 97.
    E.D. Siggia, Phys. Rev. A 20, 595 (1979)ADSCrossRefGoogle Scholar
  98. 98.
    D.G.A.L. Aarts, R.P.A. Dullens, H.N.W. Lekkerkerker, New J. Phys. 7, 40 (2005)ADSCrossRefGoogle Scholar
  99. 99.
    W.C.K. Poon, F. Renth, R.M.L. Evans, D.J. Fairhurst, M.E. Cates, P.N. Pusey, Phys. Rev. Lett. 83, 1239 (1999)ADSCrossRefGoogle Scholar
  100. 100.
    J.P. Hansen, L. Verlet, Phys. Rev. 184, 151 (1969)ADSCrossRefGoogle Scholar
  101. 101.
    G.A. Vliegenthart, H.N.W. Lekkerkerker, J. Chem. Phys. 111, 4153 (1999)ADSCrossRefGoogle Scholar
  102. 102.
    E.H.A. de Hoog, W.K. Kegel, A. van Blaaderen, H.N.W. Lekkerkerker, Phys. Rev. E 64, 021497 (2001)CrossRefADSGoogle Scholar
  103. 103.
    W.C.K. Poon, A.D. Pirie, P.N. Pusey, Faraday Disc. 101, 65 (1995)ADSCrossRefGoogle Scholar
  104. 104.
    P.W. Rouw, A.T.J.M. Woutersen, B.J. Ackerson, de C.G. Kruif, Physica A 56, 876 (1989)ADSCrossRefGoogle Scholar
  105. 105.
    R.M. Ziff, in Kinetics of Aggregation and Gelation ed. by F. Family, D.P. Landau (Elsevier, Amsterdam, 1984), p. 191Google Scholar
  106. 106.
    M. Carpineti, M. Giglio, Phys. Rev. Lett. 68, 3327 (1992)ADSCrossRefGoogle Scholar
  107. 107.
    N.A.M. Verhaegh, D. Asnaghi, H.N.W. Lekkerkerker, M. Giglio, L. Cipelletti, Physica A 242, 104 (1997)ADSCrossRefGoogle Scholar
  108. 108.
    N.A.M. Verhaegh, D. Asnaghi, H.N.W. Lekkerkerker, Physica A 264, 64 (1999)CrossRefGoogle Scholar
  109. 109.
    C.A. Miller, D.D. Miller, Colloid Surf. 16, 219 (1985)CrossRefGoogle Scholar
  110. 110.
    P.J. Lu, E. Zaccarelli, F. Ciulla, A. Schofield, F. Sciortino, D.A. Weitz, Nature 453, 499 (2008)ADSCrossRefGoogle Scholar
  111. 111.
    L. Starrs, W.C.K. Poon, D.J. Hibberd, M.M. Robins, J. Phys. Condens. Matter 14, 2485 (2002)ADSCrossRefGoogle Scholar
  112. 112.
    A. Parker, P.A. Gunning, K. Ng, M.M. Robbins, Food Hydrocolloids 9, 333 (1995)CrossRefGoogle Scholar
  113. 113.
    R. Tuinier, C.G. de Kruif, J. Colloid Interface Sci. 218, 201 (1999)CrossRefGoogle Scholar
  114. 114.
    R. Buscall, T.H. Choudhury, M.A. Faers, J.W. Goodwin, P.A. Luckham, S.J. Partridge, Soft Matter 5, 1345 (2009)CrossRefGoogle Scholar
  115. 115.
    U. Bengtzelius, W. Götze, A. Sjölander, J. Phys. C 17, 5915 (1984)ADSCrossRefGoogle Scholar
  116. 116.
    P.N. Pusey, W. Van Megen, Phys. Rev. Lett. 59, 2083 (1987)ADSCrossRefGoogle Scholar
  117. 117.
    W. Götze, J. Phys. Condens. Matter 11, A1 (1999)CrossRefGoogle Scholar
  118. 118.
    J. Bergenholtz, M. Fuchs, Phys. Rev. E 59, 5706 (1999)ADSCrossRefGoogle Scholar
  119. 119.
    L. Fabbian, W. Götze, F. Sciortino, P. Tartaglia, F. Thiery, Phys. Rev. E 59, R1347 (1999)ADSCrossRefGoogle Scholar
  120. 120.
    L. Fabbian, R. Latz, F. Sciortino, P. Tartaglia, C. Thies, Phys. Rev. E 60, 5768 (1999)ADSCrossRefGoogle Scholar
  121. 121.
    K.N. Pham, A.M. Puertas, J. Bergenholtz, S.U. Egelhaaf, A. Moussaïd, P.N. Pusey, A.B. Schofield, M.E. Cates, M. Fuchs, W.C.K. Poon, Science 296, 104 (2002)ADSCrossRefGoogle Scholar
  122. 122.
    T. Eckert, E. Bartsch, Phys. Rev. Lett. 89, 125701 (2002)ADSCrossRefGoogle Scholar
  123. 123.
    Pusey PN (2008) Lecture at the 7th Liquid Matter Conference, Lund, Sweden, 27 June–1 JulyGoogle Scholar
  124. 124.
    E. Zaccarelli, W.C.K. Poon, PNAS 106, 15203 (2009)ADSCrossRefGoogle Scholar

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Authors and Affiliations

  1. 1.Van ’t Hoff LaboratoryUtrecht UniversityUtrechtThe Netherlands
  2. 2.Colloids & Interfaces Group, Advanced Chemical Engineering SolutionsDSM ResearchGeleenThe Netherlands

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