Skip to main content
  • 204 Accesses

Abstract

In this chapter various dynamical properties of unperturbed polymer chains in dilute solution in the regime of linear response are evaluated by the use of the time-correlation functions formulated in Chap. 9 on the basis of the dynamic HW chain. They include dielectric relaxation, nuclear magnetic relaxation, fluorescence depolarization, dynamic light scattering, and so on for both flexible and semiflexible polymers. Evaluation is carried out for the d-HW chain except for the first cumulant of the dynamic structure factor, which is evaluated for the c-HW chain. The eigenvalues are evaluated in the crude and also higher-order subspace approximations for the flexible d-HW chain but only in the crude approximation for the stiff d-HW chain and the c-HW chain. All dynamical properties considered in this chapter concern local chain motions except in the cases of the dielectric constant of semiflexible polymers and the first cumulant. A comparison of theory with experiment is made rather in detail along with a discussion of the approximations introduced in Chap. 9.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. B. H. Zimm: J. Chem. Phys. 24, 269 (1956).

    Article  CAS  Google Scholar 

  2. W. H. Stockmayer and M. E. Baur: J. Am. Chem. Soc. 86, 3485 (1964).

    Article  CAS  Google Scholar 

  3. W. H. Stockmayer: Pure Appl. Chem. 15, 539 (1967).

    Article  Google Scholar 

  4. H. Yamakawa: Modern Theory of Polymer Solutions (Harper & Row, New York, 1971).

    Google Scholar 

  5. T. Yoshizaki and H. Yamakawa: J. Chem. Phys. 81, 982 (1984).

    Article  CAS  Google Scholar 

  6. G. Williams: Chem. Rev. 72, 55 (1972).

    Article  CAS  Google Scholar 

  7. J. E. Shore and R. Zwanzig: J. Chem. Phys. 63, 5445 (1975).

    Article  CAS  Google Scholar 

  8. P. Debye: Polar Molecules (Dover, New York, 1945).

    Google Scholar 

  9. D. E. Woessner: J. Chem. Phys. 36, 1 (1962).

    Article  CAS  Google Scholar 

  10. J. D. Hoffman and H. G. Pfeiffer: J. Chem. Phys. 22, 132 (1954).

    Article  CAS  Google Scholar 

  11. W. H. Stockmayer: Pure Appl. Chem. Suppl. Macromol. Chem. 8, 379 (1973).

    CAS  Google Scholar 

  12. M. Davies, G. Williams, and G. D. Loveluck: Z. Elektrochem. 64, 575 (1960).

    CAS  Google Scholar 

  13. S. Mashimo, S. Yagihara, and A. Chiba: Macromolecules 17, 630 (1984).

    Article  CAS  Google Scholar 

  14. W. H. Stockmayer and K. Matsuo: Macromolecules 5, 766 (1972).

    Article  CAS  Google Scholar 

  15. S. Mashimo: Macromolecules 9, 91 (1976).

    Article  CAS  Google Scholar 

  16. S. Mashimo, P. Winsor IV, R. H. Cole, K. Matsuo, and W. H. Stockmayer: Macromolecules 16, 965 (1983).

    Article  CAS  Google Scholar 

  17. Y. Iwasa, S. Mashimo, and A. Chiba: Polym. J. 8, 401 (1976).

    Article  CAS  Google Scholar 

  18. M. Fujii, K. Nagasaka, J. Shimada, and H. Yamakawa: Macromolecules 16, 1613 (1983).

    Article  CAS  Google Scholar 

  19. R. H. Cole, S. Mashimo, and P. Winsor IV: J. Phys. Chem. 84, 786 (1980).

    Article  CAS  Google Scholar 

  20. H. Yamakawa, T. Yoshizaki, and M. Fujii: J. Chem. Phys. 84, 4693 (1986).

    Article  CAS  Google Scholar 

  21. H. Yamakawa and T. Yoshizaki: J. Chem. Phys. 78, 572 (1983).

    Article  CAS  Google Scholar 

  22. H. Yamakawa: Macromolecules 16, 1928 (1983).

    Article  CAS  Google Scholar 

  23. T. Matsumoto, N. Nishioka, A. Teramoto, and H. Fujita: Macromolecules 7, 824 (1974).

    Article  CAS  Google Scholar 

  24. S. Takada, T. Itou, H. Chikiri, Y. Einaga, and A. Teramoto: Macromolecules 22, 973 (1989).

    Article  CAS  Google Scholar 

  25. I. Solomon: Phys. Rev. 99, 559 (1955).

    Article  CAS  Google Scholar 

  26. A. Abragam: The Principles of Nuclear Magnetism (Oxford Univ., London, 1961).

    Google Scholar 

  27. D. Doddrell, V. Glushko, and A. Allerhand: J. Chem. Phys. 56, 3683 (1972).

    Article  CAS  Google Scholar 

  28. W. T. Huntress, Jr.: J. Chem. Phys. 48, 3524 (1968).

    Article  CAS  Google Scholar 

  29. W. E. Hull and B. D. Sykes: J. Mol. Biol. 98, 121 (1975).

    Article  CAS  Google Scholar 

  30. S. A. Allison, J. H. Shibata, J. Wilcoxon, and J. M. Shurr: Biopolymers 21, 729 (1982).

    Article  CAS  Google Scholar 

  31. H. Yamakawa and M. Fujii: J. Chem. Phys. 81, 997 (1984).

    Article  CAS  Google Scholar 

  32. D. Wallach: J. Chem. Phys. 47, 5258 (1967).

    Article  CAS  Google Scholar 

  33. A. A. Jones: J. Polym. Sci., Polym. Phys. Ed. 15, 863 (1977).

    Article  CAS  Google Scholar 

  34. A. A. Jones and W. H. Stockmayer: J. Polym. Sci., Polym. Phys. Ed. 15, 847 (1977).

    Article  CAS  Google Scholar 

  35. B. Valeur, J. P. Jarry, F. Gény, and L. Monnerie: J. Polym. Sci., Polym. Phys. Ed. 13, 667 (1975); 13, 2251 (1975).

    Article  Google Scholar 

  36. B. Valeur, L. Monnerie, and J. P. Jarry: J. Polym. Sci., Polym. Phys. Ed. 13, 675 (1975).

    Article  Google Scholar 

  37. F. Heatley and I. Walton: Polymer 17, 1019 (1976).

    Article  CAS  Google Scholar 

  38. Y. Inoue, A. Nishioka, and R. Chûjô: J. Polym. Sci., Polym. Phys. Ed. 11, 2237 (1973).

    CAS  Google Scholar 

  39. A. Allerhand and R. K. Hailstone: J. Chem. Phys. 56, 3718 (1972).

    Article  CAS  Google Scholar 

  40. Y. Takaeda, T. Yoshizaki, and H. Yamakawa: Macromolecules 27, 4248 (1994).

    Article  CAS  Google Scholar 

  41. J. R. Lyerla, Jr., T. T. Horikawa, and D. E. Johnson: J. Am. Chem. Soc. 99, 2463 (1977).

    Article  CAS  Google Scholar 

  42. Y. Takaeda, T. Yoshizaki, and H. Yamakawa: Macromolecules 28, 682 (1995).

    Article  CAS  Google Scholar 

  43. Y. Naito, N. Sawatari, Y. Takaeda, T. Yoshizaki, and H. Yamakawa: Macromolecules 30, 2751 (1997).

    Article  CAS  Google Scholar 

  44. M. E. Hogan and O. Jardetzky: Proc. Natl. Acad. Sci. USA 76, 6341 (1979).

    Article  CAS  Google Scholar 

  45. A. Jablonski: Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys. 8, 259 (1960); Acta Phys. Pol. 28, 717 (1965).

    CAS  Google Scholar 

  46. T. Yoshizaki, M. Fujii, and H. Yamakawa: J. Chem. Phys. 82, 1003 (1985).

    Article  CAS  Google Scholar 

  47. A. Szabo: J. Chem. Phys. 81, 150 (1984).

    Article  CAS  Google Scholar 

  48. B. Valeur and L. Monnerie: J. Polym. Sci., Polym. Phys. Ed. 14, 11 (1976).

    Article  CAS  Google Scholar 

  49. A. M. North and I. Soutar: J. Chem. Soc. Faraday Trans. 1 68, 1101 (1972).

    CAS  Google Scholar 

  50. D. P. Millar, R. J. Robbins, and A. H. Zewail: Proc. Natl. Acad. Sci. USA 77, 5593 (1980).

    Article  CAS  Google Scholar 

  51. D. P. Millar, R. J. Robbins, and A. H. Zewail: J. Chem. Phys. 74, 4200 (1981); 76, 2080 (1982).

    Article  CAS  Google Scholar 

  52. M. D. Barkley and B. H. Zimm: J. Chem. Phys. 70, 2991 (1979).

    Article  CAS  Google Scholar 

  53. Ph. Wahl, J. Paoletti, and J.-B. LePecq: Proc. Natl. Acad. Sci. USA 65, 417 (1970).

    Article  CAS  Google Scholar 

  54. T. Yoshizaki and H. Yamakawa: J. Chem. Phys. 99, 9145 (1993).

    Article  CAS  Google Scholar 

  55. B. J. Berne and R. Pecora: Dynamic Light Scattering (Wiley, New York, 1976).

    Google Scholar 

  56. W. Kuhn and F. Grün: Kolloid Z. 101, 248 (1942).

    Article  CAS  Google Scholar 

  57. K. Ono and K. Okano: Japan J. Appl. Phys. 9, 1356 (1970).

    Article  CAS  Google Scholar 

  58. D. R. Bauer, J. I. Brauman, and R. Pecora: Macromolecules 8, 443 (1975).

    Article  CAS  Google Scholar 

  59. G. T. Evans: J. Chem. Phys. 71, 2263 (1979).

    Article  CAS  Google Scholar 

  60. M. Fixman and J. Kovac: J. Chem. Phys. 61, 4939 (1974).

    Article  CAS  Google Scholar 

  61. F. Strehle, Th. Dorfmüller, and D. Samios: Macromolecules 25, 3569 (1992).

    Article  CAS  Google Scholar 

  62. P. J. Hagerman and B. H. Zimm: Biopolymers 20, 1481 (1981).

    Article  CAS  Google Scholar 

  63. K. Matsuo, K. F. Kuhlmann, H. W.-H. Yang, F. Gény, W. H. Stockmayer, and A. A. Jones: J. Polym. Sci., Polym. Phys. Ed. 15, 1347 (1977).

    Article  CAS  Google Scholar 

  64. T. Yoshizaki, M. Osa, and H. Yamakawa: J. Chem. Phys. 106, 2828 (1997).

    Article  CAS  Google Scholar 

  65. Y. Tsunashima, N. Nemoto, and M. Kurata: Macromolecules 16, 1184 (1983).

    Article  CAS  Google Scholar 

  66. C. C. Han and A. Z. Akcasu: Macromolecules 14, 1080 (1981).

    Article  CAS  Google Scholar 

  67. K. Soda and A. Wada: Biophys. Chem. 20, 185 (1984).

    Article  CAS  Google Scholar 

  68. T. Konishi, T. Yoshizaki, and H. Yamakawa: Macromolecules 24, 5614 (1991).

    Article  CAS  Google Scholar 

  69. M. Schmidt and W. Burchard: Macromolecules 14, 210 (1981).

    Article  CAS  Google Scholar 

  70. E. Dubois-Viollete and P.-G. de Gennes: Physics 3, 181 (1967).

    Google Scholar 

  71. W. Burchard, M. Schmidt, and W. H. Stockmayer: Macromolecules 13, 580 (1980).

    Article  CAS  Google Scholar 

  72. M. Benmouna and A. Z. Akcasu: Macromolecules 13, 409 (1980).

    Article  CAS  Google Scholar 

  73. A. Z. Akcasu and H. Gurol: J. Polym. Sci., Polym. Phys. Ed. 14, 1 (1976).

    Article  CAS  Google Scholar 

  74. A. Z. Akcasu, M. Benmouna, and C. C. Han: Polymer 21, 866 (1980).

    Article  CAS  Google Scholar 

  75. W. H. Stockmayer and B. Hammouda: Pure Appl. Chem. 56, 1372 (1984).

    Article  Google Scholar 

  76. M. Schmidt and W. H. Stockmayer: Macromolecules 17, 509 (1984).

    Article  CAS  Google Scholar 

  77. T. Maeda and S. Fujime: Macromolecules 17, 2381 (1984).

    Article  CAS  Google Scholar 

  78. L. Harnau, R. G. Winkler, and P. Reineker: J. Chem. Phys. 104, 6355 (1996).

    Article  CAS  Google Scholar 

  79. R. A. Harris and J. E. Hearst: J. Chem. Phys. 44, 2595 (1966).

    Article  CAS  Google Scholar 

  80. R. G. Winkler, P. Reineker, and L. Harnau: J. Chem. Phys. 101, 8119 (1994).

    Article  CAS  Google Scholar 

  81. L. Harnau, R. G. Winkler, and P. Reineker: J. Chem. Phys. 102, 7750 (1995).

    Article  CAS  Google Scholar 

  82. L. K. Nicholson, J. S. Higgins, and J. B. Hayter: Macromolecules 14, 836 (1981).

    Article  CAS  Google Scholar 

  83. E. Helfand: J. Chem. Phys. 54, 4651 (1971).

    Article  Google Scholar 

  84. E. Helfand, Z. R. Wasserman, and T. A. Weber: Macromolecules 13, 526 (1980).

    Article  CAS  Google Scholar 

  85. D. Perchak and J. H. Weiner: Macromolecules 14, 785 (1981).

    Article  CAS  Google Scholar 

  86. T.-P. Lias and H. Morawetz: Macromolecules 13, 1228 (1980).

    Article  Google Scholar 

  87. T. Yoshizaki and H. Yamakawa: J. Chem. Phys. 88, 1313 (1988).

    Article  CAS  Google Scholar 

  88. J. D. Ferry: Viscoelastic Properties of Polymers, 3rd ed. (Wiley, New York, 1980).

    Google Scholar 

  89. M. Fixman and G. T. Evans: J. Chem. Phys. 68, 195 (1978).

    Article  CAS  Google Scholar 

  90. M. Doi, H. Nakajima, and Y. Wada: Colloid Polym. Sci. 254, 559 (1976).

    Article  CAS  Google Scholar 

  91. M. Fixman and G. T. Evans: J. Chem. Phys. 64, 3474 (1976).

    Article  CAS  Google Scholar 

  92. V. F. Man: Ph. D. Thesis (Univ. of Wisconsin, Madison, 1984); P. A. Merchak: Ph. D. Thesis (Univ. of Wisconsin, Madison, 1987).

    Google Scholar 

  93. G. B. Thurston and J. L. Schräg: Trans. Soc. Rheol. 6, 325 (1962).

    Article  Google Scholar 

  94. T. P. Lodge, J. W. Miller, and J. L. Schräg: J. Polym. Sci., Polym. Phys. Ed. 20, 1409 (1982).

    Article  CAS  Google Scholar 

  95. T. P. Lodge and J. L. Schräg: Macromolecules 17, 352 (1984).

    Article  CAS  Google Scholar 

  96. K. Nagasaka, T. Yoshizaki, and H. Yamakawa: J. Chem. Phys. 90, 5167 (1989).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Yamakawa, E.H. (1997). Dynamical Properties. In: Helical Wormlike Chains in Polymer Solutions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60817-9_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-60817-9_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64569-3

  • Online ISBN: 978-3-642-60817-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics