Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-25T08:52:01.838Z Has data issue: false hasContentIssue false

6 - Segmental diffusion

Published online by Cambridge University Press:  05 August 2012

George D. J. Phillies
Affiliation:
Worcester Polytechnic Institute, Massachusetts
Get access

Summary

Introduction

This chapter considers polymer segmental diffusion, the motions of small portions of a polymer relative to the chain as a whole. Studies of motions of short sections of polymer molecules should be seen as being complementary to studies of the motions of small molecules through polymer solutions, as described in Chapter 5. Localmotions of polymer chains on distance scales comparable to q−1 contribute to the polymer dynamic structure factor S(q, t), as discussed in Chapter 11. Important experimental techniques sensitive to segmental motion include depolarized light scattering, time-resolved optical scattering, and nuclear magnetic resonance, as treated in the next three sections.

Depolarized light scattering

The molecular basis for depolarized light scattering by model molecules that resemble polymers was described by Patterson and Carroll(1,2), who discuss intensities and linewidths for depolarized light scattering modes and their relationship to orientation fluctuations. Depolarized light scattering is in part sensitive to local chain motions and in part sensitive to whole-chain motions, as shown by the behavior of the VH spectrum.

The molecular weight dependence of the VH spectrum for low-molecular-weight polymers was found by Lai, et al.(3), who examined concentrated (550 g/l) polystyrenes (9.1 and 18.1 kDa) in cyclohexane. The VH spectrum was dominated by a singlemodewhose relaxation time is independent of polymermolecularweight and scattering angle. Lai, et al. also saw the tail of a very fast mode whose relaxation time distribution was not fully resolved. A dominant mode with these properties is reasonably interpreted as being created by segmental motions that reorient modest portions of a much longer chain.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] G. D., Patterson and P. J., Carroll. Depolarized Rayleigh spectroscopy of small alkanes with picosecond relaxation times. J. Chem. Phys., 76 (1982), 4356–4360.Google Scholar
[2] G. D., Patterson and P. J., Carroll. Light scattering spectroscopy of pure fluids. J. Phys. Chem., 89 (1985), 1344–1354.Google Scholar
[3] C. S., Lai, J.-H., Juang, and Y.-H., Lin. Chain dynamics of concentrated polystyrene solutions studied by depolarized photon-correlation and viscosity experiments. J. Chem. Phys., 110 (1999), 9310–9318.Google Scholar
[4] T., Koch, G., Strobl, and B., Stuehn. Light-scattering study of fluctuations in concentration, density, and local anisotropy in polystyrene-dioxane mixtures. Macromolecules, 25 (1992), 6255–6261.Google Scholar
[5] J. L., Viovy, L., Monnerie, and J. C., Brochon. Fluorescence polarization decay study of polymer dynamics: A critical discussion of models using synchrotron data. Macromolecules, 16 (1983), 1845–1852.Google Scholar
[6] J. L., Viovy and L., Monnerie. A study of local chain dynamics in concentrated polystyrene solutions using fluorescence anisotropy decay. Polymer, 27 (1986), 181–184.Google Scholar
[7] Cited by Viovy, , et al. (5) as N., Tardiveau. Unpublished thesis, Université de Paris 6 (1980).
[8] P. D., Hyde, D. A., Waldow, M. D., Ediger, T., Kitano, and K., Ito. Local segmental diffusion of polyisoprene in dilute solution: Picosecond holographic grating experiments. Macromolecules, 19 (1986), 2533–2538.Google Scholar
[9] C. K., Hall and E., Helfand. Conformational state relaxation in polymers: Timecorrelation functions. J. Chem. Phys., 77 (1982), 3275–3282.Google Scholar
[10] J. T., Bendler and R., Yaris. A solvable model of polymer main-chain dynamics with applications to spin relaxation. Macromolecules, 11 (1978), 650–655.Google Scholar
[11] K., Hatada, T., Kitayama, Y., Terawaki, Y., Tanaka, and H., Sato. Structural dependence of C-13 NMR spin-lattice relaxation-times of 1,4-polyisoprenes. Polymer Bull.(Berlin), 2 (1980), 791–797.Google Scholar
[12] D. A., Waldow, B. S., Johnson, P. D., Hyde, et al. Local segmental diffusion of polyisoprene in dilute solution: Solvent and molecular weight effects. Macromolecules, 22 (1989), 1345–1351.Google Scholar
[13] S., Adams and D. B., Adolph. Viscosity dependence of the local segmental diffusion of anthracene-labeled 1,2-polybutadiene in dilute solution. Macromolecules, 31 (1998), 5794–5799.Google Scholar
[14] H. A., Kramers. Brownian motion in a field of force and the diffusion model of chemical reactions. Physica, 7 (1940), 284–304.Google Scholar
[15] D. B., Adolph, M. D., Ediger, T., Kitano, and K., Ito. Viscosity dependence of the local segmental diffusion of anthracene-labelled polyisoprene in dilute solution. Macromolecules, 25 (1992), 867–872.Google Scholar
[16] T., Sasaki, M., Yamamoto, and Y., Nishijima. Chain dynamics of poly(methyl methacrylate) in dilute solutions studied by the fluorescence depolarization method. Macromolecules, 21 (1988), 610–616.Google Scholar
[17] D. A., Waldow, M. D., Ediger, Y., Yamaguchi, Y., Matsushita, and I., Noda. Viscosity dependence of the local segmental diffusion of anthracene-labeled polystyrene in dilute solution. Macromolecules, 24 (1991), 3147–3153.Google Scholar
[18] B. J., Punchard and D. B., Adolph. Pressure and temperature dependence of the dilute solution segmental diffusion of anthracene-labeled polyisoprene. Macromolecules, 35 (2002), 3281–3287.Google Scholar
[19] B. J., Punchard, A., Kirpatch, and D. B., Adolph. Time-resolved optical spectroscopy study of the local dynamics of cis-1,4 and vinyl-1,2-polybutadiene in dilute solution at high pressure. Polymer, 43 (2002), 6287–6293.Google Scholar
[20] K., Ono, Y., Okada, S., Yokotsuka, T., Sasaki, and M., Yamamoto. Chain dynamics of styrene polymers studied by the fluorescence depolarization method. Macromolecules, 27 (1994), 6482–6486.Google Scholar
[21] K., Ono, T., Sasaki, M., Yamamoto, et al. Local chain motion of isotactic and syndiotactic poly(methyl methacrylate)s studied by the fluorescence depolarization method. Macromolecules, 28 (1995), 5012–5016.Google Scholar
[22] K., Ono, K., Ueda, T., Sasaki, S., Murase, and M., Yamamoto. Fluorescence depolarization study of local motions in polymers at the Θ temperature. Macromolecules, 29 (1996), 1584–1588.Google Scholar
[23] J-i., Horinaka, S., Amano, H., Funada, S., Ito, and M., Yamamoto. Local chain dynamics of poly(oxyethylene) studied by the fluorescence depolarization method. Macromolecules, 31 (1998), 1197–1201.Google Scholar
[24] J-i., Horinaka, M., Maruta, S., Ito, and M., Yamamoto. Local motion of oligo- and polystyrene chain end studied by the fluorescence depolarization method. Macromolecules, 32 (1999), 1134–1139.Google Scholar
[25] M., Fujii, K., Nagasaka, J., Shimada, and H., Yamakawa. More on the model parameters of helical wormlike chains. Macromolecules, 16 (1983), 1613–1623.Google Scholar
[26] J.-i., Horinaka. Studies on local motion of synthetic polymers and dynamics of polysaccharides. Nihon Reoroji Gakkaishi, 37 (2009), 223–230.Google Scholar
[27] B. S., Johnson, M. D., Ediger, T., Kitano, and K., Ito. Concentration and temperature dependence of local motions in polyisoprene/tetrahydrofuran. Macromolecules, 25 (1992), 873–879.Google Scholar
[28] P., Dais and A., Spyros. 13C nuclear magnetic relaxation and local dynamics of synthetic polymers in dilute solution and in the bulk state. Progr. NMR Spectroscopy, 27 (1995), 555–633.Google Scholar
[29] F., Heatley. Nuclear magnetic relaxation of synthetic polymers in dilute solution. Progr. in NMR Spectroscopy, 13 (1979), 47–85.Google Scholar
[30] W., Zhu and M. D., Ediger. Deuterium NMR characterization of 1,2-polybutadiene local dynamics in dilute solution. Macromolecules, 28 (1995), 7549–7557.Google Scholar
[31] W., Zhu and M. D., Ediger. Viscosity dependence of polystyrene local dynamics in dilute solution. Macromolecules, 30 (1997), 1205–1210.Google Scholar
[32] S., Glowinkowski, D. J., Gisser, and M. D., Ediger. Carbon-13 nuclear magnetic resonance measurements of local segmental diffusion of polyisoprene in dilute solution: nonlinear viscosity dependence. Macromolecules, 23 (1990), 3520–3530.Google Scholar
[33] A., Karali, P., Dais, and F., Heatley. Carbon-13 nuclear magnetic relaxation study of solvent effects on chain local dynamics of poly(N-vinylcarbazole) in dilute solution. Macromolecules, 33 (2000), 5524–5531.Google Scholar
[34] D. R., Bauer, G. R., Alms, J. I., Brauman, and R., Pecora. Depolarized Rayleigh scattering and 13C NMR studies of anisotropic molecular reorientation of aromatic compounds in solution. J. Chem. Phys., 61 (1974), 2255–2261.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Segmental diffusion
  • George D. J. Phillies, Worcester Polytechnic Institute, Massachusetts
  • Book: Phenomenology of Polymer Solution Dynamics
  • Online publication: 05 August 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511843181.007
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Segmental diffusion
  • George D. J. Phillies, Worcester Polytechnic Institute, Massachusetts
  • Book: Phenomenology of Polymer Solution Dynamics
  • Online publication: 05 August 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511843181.007
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Segmental diffusion
  • George D. J. Phillies, Worcester Polytechnic Institute, Massachusetts
  • Book: Phenomenology of Polymer Solution Dynamics
  • Online publication: 05 August 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511843181.007
Available formats
×