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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B. H. Zimm: J. Chem. Phys. 24, 269 (1956).
W. H. Stockmayer and M. E. Baur: J. Am. Chem. Soc. 86, 3485 (1964).
W. H. Stockmayer: Pure Appl. Chem. 15, 539 (1967).
H. Yamakawa: Modern Theory of Polymer Solutions (Harper & Row, New York, 1971).
T. Yoshizaki and H. Yamakawa: J. Chem. Phys. 81, 982 (1984).
G. Williams: Chem. Rev. 72, 55 (1972).
J. E. Shore and R. Zwanzig: J. Chem. Phys. 63, 5445 (1975).
P. Debye: Polar Molecules (Dover, New York, 1945).
D. E. Woessner: J. Chem. Phys. 36, 1 (1962).
J. D. Hoffman and H. G. Pfeiffer: J. Chem. Phys. 22, 132 (1954).
W. H. Stockmayer: Pure Appl. Chem. Suppl. Macromol. Chem. 8, 379 (1973).
M. Davies, G. Williams, and G. D. Loveluck: Z. Elektrochem. 64, 575 (1960).
S. Mashimo, S. Yagihara, and A. Chiba: Macromolecules 17, 630 (1984).
W. H. Stockmayer and K. Matsuo: Macromolecules 5, 766 (1972).
S. Mashimo: Macromolecules 9, 91 (1976).
S. Mashimo, P. Winsor IV, R. H. Cole, K. Matsuo, and W. H. Stockmayer: Macromolecules 16, 965 (1983).
Y. Iwasa, S. Mashimo, and A. Chiba: Polym. J. 8, 401 (1976).
M. Fujii, K. Nagasaka, J. Shimada, and H. Yamakawa: Macromolecules 16, 1613 (1983).
R. H. Cole, S. Mashimo, and P. Winsor IV: J. Phys. Chem. 84, 786 (1980).
H. Yamakawa, T. Yoshizaki, and M. Fujii: J. Chem. Phys. 84, 4693 (1986).
H. Yamakawa and T. Yoshizaki: J. Chem. Phys. 78, 572 (1983).
H. Yamakawa: Macromolecules 16, 1928 (1983).
T. Matsumoto, N. Nishioka, A. Teramoto, and H. Fujita: Macromolecules 7, 824 (1974).
S. Takada, T. Itou, H. Chikiri, Y. Einaga, and A. Teramoto: Macromolecules 22, 973 (1989).
I. Solomon: Phys. Rev. 99, 559 (1955).
A. Abragam: The Principles of Nuclear Magnetism (Oxford Univ., London, 1961).
D. Doddrell, V. Glushko, and A. Allerhand: J. Chem. Phys. 56, 3683 (1972).
W. T. Huntress, Jr.: J. Chem. Phys. 48, 3524 (1968).
W. E. Hull and B. D. Sykes: J. Mol. Biol. 98, 121 (1975).
S. A. Allison, J. H. Shibata, J. Wilcoxon, and J. M. Shurr: Biopolymers 21, 729 (1982).
H. Yamakawa and M. Fujii: J. Chem. Phys. 81, 997 (1984).
D. Wallach: J. Chem. Phys. 47, 5258 (1967).
A. A. Jones: J. Polym. Sci., Polym. Phys. Ed. 15, 863 (1977).
A. A. Jones and W. H. Stockmayer: J. Polym. Sci., Polym. Phys. Ed. 15, 847 (1977).
B. Valeur, J. P. Jarry, F. Gény, and L. Monnerie: J. Polym. Sci., Polym. Phys. Ed. 13, 667 (1975); 13, 2251 (1975).
B. Valeur, L. Monnerie, and J. P. Jarry: J. Polym. Sci., Polym. Phys. Ed. 13, 675 (1975).
F. Heatley and I. Walton: Polymer 17, 1019 (1976).
Y. Inoue, A. Nishioka, and R. Chûjô: J. Polym. Sci., Polym. Phys. Ed. 11, 2237 (1973).
A. Allerhand and R. K. Hailstone: J. Chem. Phys. 56, 3718 (1972).
Y. Takaeda, T. Yoshizaki, and H. Yamakawa: Macromolecules 27, 4248 (1994).
J. R. Lyerla, Jr., T. T. Horikawa, and D. E. Johnson: J. Am. Chem. Soc. 99, 2463 (1977).
Y. Takaeda, T. Yoshizaki, and H. Yamakawa: Macromolecules 28, 682 (1995).
Y. Naito, N. Sawatari, Y. Takaeda, T. Yoshizaki, and H. Yamakawa: Macromolecules 30, 2751 (1997).
M. E. Hogan and O. Jardetzky: Proc. Natl. Acad. Sci. USA 76, 6341 (1979).
A. Jablonski: Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys. 8, 259 (1960); Acta Phys. Pol. 28, 717 (1965).
T. Yoshizaki, M. Fujii, and H. Yamakawa: J. Chem. Phys. 82, 1003 (1985).
A. Szabo: J. Chem. Phys. 81, 150 (1984).
B. Valeur and L. Monnerie: J. Polym. Sci., Polym. Phys. Ed. 14, 11 (1976).
A. M. North and I. Soutar: J. Chem. Soc. Faraday Trans. 1 68, 1101 (1972).
D. P. Millar, R. J. Robbins, and A. H. Zewail: Proc. Natl. Acad. Sci. USA 77, 5593 (1980).
D. P. Millar, R. J. Robbins, and A. H. Zewail: J. Chem. Phys. 74, 4200 (1981); 76, 2080 (1982).
M. D. Barkley and B. H. Zimm: J. Chem. Phys. 70, 2991 (1979).
Ph. Wahl, J. Paoletti, and J.-B. LePecq: Proc. Natl. Acad. Sci. USA 65, 417 (1970).
T. Yoshizaki and H. Yamakawa: J. Chem. Phys. 99, 9145 (1993).
B. J. Berne and R. Pecora: Dynamic Light Scattering (Wiley, New York, 1976).
W. Kuhn and F. Grün: Kolloid Z. 101, 248 (1942).
K. Ono and K. Okano: Japan J. Appl. Phys. 9, 1356 (1970).
D. R. Bauer, J. I. Brauman, and R. Pecora: Macromolecules 8, 443 (1975).
G. T. Evans: J. Chem. Phys. 71, 2263 (1979).
M. Fixman and J. Kovac: J. Chem. Phys. 61, 4939 (1974).
F. Strehle, Th. Dorfmüller, and D. Samios: Macromolecules 25, 3569 (1992).
P. J. Hagerman and B. H. Zimm: Biopolymers 20, 1481 (1981).
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).
T. Yoshizaki, M. Osa, and H. Yamakawa: J. Chem. Phys. 106, 2828 (1997).
Y. Tsunashima, N. Nemoto, and M. Kurata: Macromolecules 16, 1184 (1983).
C. C. Han and A. Z. Akcasu: Macromolecules 14, 1080 (1981).
K. Soda and A. Wada: Biophys. Chem. 20, 185 (1984).
T. Konishi, T. Yoshizaki, and H. Yamakawa: Macromolecules 24, 5614 (1991).
M. Schmidt and W. Burchard: Macromolecules 14, 210 (1981).
E. Dubois-Viollete and P.-G. de Gennes: Physics 3, 181 (1967).
W. Burchard, M. Schmidt, and W. H. Stockmayer: Macromolecules 13, 580 (1980).
M. Benmouna and A. Z. Akcasu: Macromolecules 13, 409 (1980).
A. Z. Akcasu and H. Gurol: J. Polym. Sci., Polym. Phys. Ed. 14, 1 (1976).
A. Z. Akcasu, M. Benmouna, and C. C. Han: Polymer 21, 866 (1980).
W. H. Stockmayer and B. Hammouda: Pure Appl. Chem. 56, 1372 (1984).
M. Schmidt and W. H. Stockmayer: Macromolecules 17, 509 (1984).
T. Maeda and S. Fujime: Macromolecules 17, 2381 (1984).
L. Harnau, R. G. Winkler, and P. Reineker: J. Chem. Phys. 104, 6355 (1996).
R. A. Harris and J. E. Hearst: J. Chem. Phys. 44, 2595 (1966).
R. G. Winkler, P. Reineker, and L. Harnau: J. Chem. Phys. 101, 8119 (1994).
L. Harnau, R. G. Winkler, and P. Reineker: J. Chem. Phys. 102, 7750 (1995).
L. K. Nicholson, J. S. Higgins, and J. B. Hayter: Macromolecules 14, 836 (1981).
E. Helfand: J. Chem. Phys. 54, 4651 (1971).
E. Helfand, Z. R. Wasserman, and T. A. Weber: Macromolecules 13, 526 (1980).
D. Perchak and J. H. Weiner: Macromolecules 14, 785 (1981).
T.-P. Lias and H. Morawetz: Macromolecules 13, 1228 (1980).
T. Yoshizaki and H. Yamakawa: J. Chem. Phys. 88, 1313 (1988).
J. D. Ferry: Viscoelastic Properties of Polymers, 3rd ed. (Wiley, New York, 1980).
M. Fixman and G. T. Evans: J. Chem. Phys. 68, 195 (1978).
M. Doi, H. Nakajima, and Y. Wada: Colloid Polym. Sci. 254, 559 (1976).
M. Fixman and G. T. Evans: J. Chem. Phys. 64, 3474 (1976).
V. F. Man: Ph. D. Thesis (Univ. of Wisconsin, Madison, 1984); P. A. Merchak: Ph. D. Thesis (Univ. of Wisconsin, Madison, 1987).
G. B. Thurston and J. L. Schräg: Trans. Soc. Rheol. 6, 325 (1962).
T. P. Lodge, J. W. Miller, and J. L. Schräg: J. Polym. Sci., Polym. Phys. Ed. 20, 1409 (1982).
T. P. Lodge and J. L. Schräg: Macromolecules 17, 352 (1984).
K. Nagasaka, T. Yoshizaki, and H. Yamakawa: J. Chem. Phys. 90, 5167 (1989).
Author information
Authors and Affiliations
Rights 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