Crossref journal-article
AIP Publishing
The Journal of Chemical Physics (317)
Abstract

The criteria for the adsorption of a polyelectrolyte chain in a salt solution on a uniformly charged planar membrane are derived using mean field arguments. Explicit formulas are obtained to describe the adsorption characteristics for varying surface charge density, charge on the polymer, Debye screening length κ−1, chain length L, and temperature T. The adsorption can be tuned using any one of these parameters. When T is the tuning variable, for example, the chain is adsorbed at T<Tc, where Tc is proportional to κ−3L−1 and κ−11/5L−1/5 in the weak and strong Coulombic screening limits, respectively. The thickness of the adsorbed layer is derived to vary linearly with κ−1 ln(Tc /T) for T<Tc.

Bibliography

Muthukumar, M. (1987). Adsorption of a polyelectrolyte chain to a charged surface. The Journal of Chemical Physics, 86(12), 7230–7235.

Authors 1
  1. M. Muthukumar (first)
References 67 Referenced 289
  1. {'key': '2024021005014094700_r1'}
  2. 10.1016/0001-8686(74)85002-5 / Adv. Colloid Interface Sci. (1974)
  3. 10.1016/0001-8686(82)85024-0 / Adv. Colloid Interface Sci. (1982)
  4. 10.1016/0001-8686(82)85025-2 / Adv. Colloid Interface Sci. (1982)
  5. 10.1103/RevModPhys.50.683 / Rev. Mod. Phys. (1978)
  6. 10.1088/0034-4885/32/1/304 / Rep. Prog. Phys. (1969)
  7. {'key': '2024021005014094700_r7', 'first-page': '365', 'volume': '21', 'year': '1953', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1953)
  8. 10.1021/j150507a011 / J. Phys. Chem. (1953)
  9. 10.1021/j150516a014 / J. Phys. Chem. (1954)
  10. 10.1021/j100816a023 / J. Phys. Chem. (1962)
  11. 10.1063/1.1733942 / J. Chem. Phys. (1963)
  12. 10.1063/1.1696251 / J. Chem. Phys. (1965)
  13. 10.1063/1.1696778 / J. Chem. Phys. (1965)
  14. 10.1063/1.1696332 / J. Chem. Phys. (1965)
  15. 10.1002/polc.5070300139 / J. Polym. Sci. C (1970)
  16. {'key': '2024021005014094700_r14a', 'first-page': '1', 'volume': '34', 'year': '1971'} (1971)
  17. 10.1073/pnas.53.1.50 / Proc. Natl. Acad. Sci. U.S.A. (1965)
  18. 10.1063/1.1696976 / J. Chem. Phys. (1965)
  19. {'key': '2024021005014094700_r15b', 'first-page': '4262', 'volume': '44', 'year': '1966', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1966)
  20. {'key': '2024021005014094700_r16', 'first-page': '301', 'volume': '69', 'year': '1965', 'journal-title': 'J. Res. Natl. Bur. Stand. Sect. B'} / J. Res. Natl. Bur. Stand. Sect. B (1965)
  21. {'key': '2024021005014094700_r16a', 'first-page': '237', 'volume': '70', 'year': '1965', 'journal-title': 'J. Res. Natl. Bur. Stand., Sect. B'} / J. Res. Natl. Bur. Stand., Sect. B (1965)
  22. 10.1063/1.1697138 / J. Chem. Phys. (1965)
  23. 10.1021/j100844a061 / J. Phys. Chem. (1969)
  24. 10.1021/j100671a011 / J. Phys. Chem. (1971)
  25. 10.1098/rspa.1974.0063 / Proc. R. Soc. London Ser. A (1974)
  26. 10.1139/p78-052 / Can. J. Phys. (1978)
  27. 10.1063/1.1840775 / J. Chem. Phys. (1967)
  28. 10.1063/1.1669540 / J. Chem. Phys. (1968)
  29. {'key': '2024021005014094700_r21', 'first-page': '284', 'volume': '22', 'year': '1966', 'journal-title': 'J. Colloid Interface Sci.'} / J. Colloid Interface Sci. (1966)
  30. 10.1063/1.1712225 / J. Chem. Phys. (1967)
  31. 10.1063/1.433381 / J. Chem. Phys. (1976)
  32. 10.1021/ma60041a022 / Macromolecules (1974)
  33. 10.1021/ma60048a050 / Macromolecules (1975)
  34. 10.1021/ma60041a028 / Macromolecules (1974)
  35. 10.1021/ma60048a049 / Macromolecules (1975)
  36. 10.1063/1.431357 / J. Chem. Phys. (1975)
  37. 10.1063/1.432053 / J. Chem. Phys. (1976)
  38. 10.1063/1.433279 / J. Chem. Phys. (1976)
  39. 10.1021/ma60060a050 / Macromolecules (1977)
  40. 10.1088/0305-4470/11/9/017 / J. Phys. A (1978)
  41. 10.1088/0305-4470/13/3/012 / J. Phys. A (1980)
  42. 10.1088/0305-4470/15/2/023 / J. Phys. A (1982)
  43. 10.1063/1.442310 / J. Chem. Phys. (1981)
  44. 10.1051/jphys:0197600370120144500 / J. Phys. (Paris) (1976)
  45. {'key': '2024021005014094700_r36', 'first-page': '85', 'volume': '38', 'year': '1977', 'journal-title': 'J. Phys. (Paris)'} / J. Phys. (Paris) (1977)
  46. 10.1021/ma50007a007 / Macromolecules (1981)
  47. 10.1021/ma00230a055 / Macromolecules (1982)
  48. {'key': '2024021005014094700_r38', 'first-page': 'L241', 'volume': '44', 'year': '1983', 'journal-title': 'J. Phys. (Paris)'} / J. Phys. (Paris) (1983)
  49. 10.1098/rspa.1975.0077 / Proc. R. Soc. London Ser. A (1975)
  50. 10.1063/1.446143 / J. Chem. Phys. (1983)
  51. 10.1063/1.443835 / J. Chem. Phys. (1982)
  52. 10.1063/1.445847 / J. Chem. Phys. (1983)
  53. 10.1063/1.447401 / J. Chem. Phys. (1984)
  54. 10.1063/1.448571 / J. Chem. Phys. (1985)
  55. 10.1088/0305-4470/10/11/021 / J. Phys. A (1977)
  56. 10.1016/0375-9601(80)90783-5 / Phys. Lett. A (1980)
  57. 10.1007/BF01298293 / Z. Phys. B (1981)
  58. 10.1103/PhysRevB.24.2878 / Phys. Rev. B (1981)
  59. 10.1007/BF01292798 / Z. Phys. B (1981)
  60. {'key': '2024021005014094700_r46'}
  61. {'key': '2024021005014094700_r47'}
  62. {'key': '2024021005014094700_r48', 'first-page': '237', 'volume': '446', 'year': '1986', 'journal-title': 'Ann. N. Y. Acad. Sci.'} / Ann. N. Y. Acad. Sci. (1986)
  63. 10.1088/0305-4470/10/2/018 / J. Phys. A (1977)
  64. 10.1088/0370-1328/85/4/301 / Proc. Phys. Soc. London (1965)
  65. 10.1063/1.444732 / J. Chem. Phys. (1983)
  66. {'key': '2024021005014094700_r52'}
  67. 10.1063/1.443257 / J. Chem. Phys. (1982)
Dates
Type When
Created 23 years, 1 month ago (July 26, 2002, 9:10 a.m.)
Deposited 1 year, 6 months ago (Feb. 10, 2024, 1:29 a.m.)
Indexed 2 months, 1 week ago (June 19, 2025, 9:05 a.m.)
Issued 38 years, 2 months ago (June 15, 1987)
Published 38 years, 2 months ago (June 15, 1987)
Published Print 38 years, 2 months ago (June 15, 1987)
Funders 0

None

@article{Muthukumar_1987, title={Adsorption of a polyelectrolyte chain to a charged surface}, volume={86}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.452763}, DOI={10.1063/1.452763}, number={12}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Muthukumar, M.}, year={1987}, month=jun, pages={7230–7235} }