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Applied Magnetic Resonance

, Volume 48, Issue 7, pp 657–671 | Cite as

Local NMR Relaxation of Dendrimers in the Presence of Hydrodynamic Interactions

  • Maxim Dolgushev
  • Sebastian Schnell
  • Denis A. Markelov
Original Paper

Abstract

We study the role of hydrodynamic interactions for the relaxation of segments’ orientations in dendrimers. The dynamics is considered in the Zimm framework. It is shown that inclusion of correlations between segments’ orientations plays a major role for the segments’ mobility, which reveals itself in the nuclear magnetic resonance relaxation functions. The enhancement of the reorientation dynamics of segments due to the hydrodynamic interactions is more significant for the inner segments. This effect is clearly pronounced in the reduced spectral density \(\omega J(\omega )\), maximum of which shifts to higher frequencies when the hydrodynamic interactions are taken into account.

Notes

Acknowledgements

M.D. acknowledges the support through Grant No. GRK 1642/1 of the Deutsche Forschungsgemeinschaft. D.A.M. acknowledges the Russian Foundation for Basic Research (project no. 14-03-00926) and the Government of the Russian Federation (project no. 074-U01).

References

  1. 1.
    A.W. Bosman, H.M. Janssen, E.W. Meijer, Chem. Rev. 99(7), 1665 (1999)CrossRefGoogle Scholar
  2. 2.
    S.M. Grayson, J.M.J. Frechet, Chem. Rev. 101(12), 3819 (2001)CrossRefGoogle Scholar
  3. 3.
    C.C. Lee, J.A. MacKay, J.M.J. Fréchet, F.C. Szoka, Nat. Biotechnol. 23(12), 1517 (2005)CrossRefGoogle Scholar
  4. 4.
    E.R. Gillies, J.M.J. Frechet, Drug Discov. Today 10(1), 35 (2005)CrossRefGoogle Scholar
  5. 5.
    H.J. Hsu, J. Bugno, S.R. Lee, S. Hong, WIREs Nanomed. Nanobiotechnol. 9, e1409 (2017). doi: 10.1002/wnan.1409 CrossRefGoogle Scholar
  6. 6.
    D. Astruc, F. Chardac, Chem. Rev. 101(9), 2991 (2001)CrossRefGoogle Scholar
  7. 7.
    A.M. Caminade, Chem. Soc. Rev. 45, 5174 (2016)CrossRefGoogle Scholar
  8. 8.
    H. Wang, G.P. Simon, C. Hawker, C. Tiu, Mater. Res. Innov. 6(4), 160 (2002)CrossRefGoogle Scholar
  9. 9.
    E. Hajizadeh, B.D. Todd, P.J. Daivis, J. Chem. Phys. 141(19), 194905 (2014)CrossRefGoogle Scholar
  10. 10.
    E. Wiener, M. Brechbiel, H. Brothers, R.L. Magin, O. Gansow, D. Tomalia, P. Lauterbur, Magn. Reson. Med. 31(1), 1 (1994)CrossRefGoogle Scholar
  11. 11.
    W. Sun, J. Li, M. Shen, X. Shi, in Dendrimer-Based Nanodevices as Contrast Agents for MR Imaging Applications, ed. by D. Zhifei. Advances in Nanotheranostics I, Springer Series in Biomaterials Science and Engineering, vol 6 (Springer, Heidelberg, 2016), pp. 249–270. doi: 10.1007/978-3-662-48544-6_8
  12. 12.
    A. Kumar, P. Biswas, Phys. Chem. Chem. Phys. 15(46), 20294 (2013)CrossRefGoogle Scholar
  13. 13.
    D.A. Markelov, M. Dolgushev, Y.Y. Gotlib, A. Blumen, J. Chem. Phys. 140, 244904 (2014)ADSCrossRefGoogle Scholar
  14. 14.
    J. Grimm, M. Dolgushev, Phys. Chem. Chem. Phys. 18(28), 19050 (2016)CrossRefGoogle Scholar
  15. 15.
    D.A. Markelov, S.G. Falkovich, I.M. Neelov, M.Y. Ilyash, V.V. Matveev, E. Lähderanta, P. Ingman, A.A. Darinskii, Phys. Chem. Chem. Phys. 17(5), 3214 (2015)CrossRefGoogle Scholar
  16. 16.
    O.V. Shavykin, I.M. Neelov, A.A. Darinskii, Phys. Chem. Chem. Phys. 18(35), 24307 (2016)CrossRefGoogle Scholar
  17. 17.
    D.A. Markelov, A.N. Shishkin, V.V. Matveev, A.V. Penkova, E. Lähderanta, V.I. Chizhik, Macromolecules 49(23), 9247 (2016)ADSCrossRefGoogle Scholar
  18. 18.
    L.F. Pinto, J. Correa, M. Martin-Pastor, R. Riguera, E. Fernandez-Megia, J. Am. Chem. Soc. 135(5), 1972 (2013)CrossRefGoogle Scholar
  19. 19.
    L.F. Pinto, R. Riguera, E. Fernandez-Megia, J. Am. Chem. Soc. 135(31), 11513 (2013)CrossRefGoogle Scholar
  20. 20.
    M. Hofmann, C. Gainaru, B. Cetinkaya, R. Valiullin, N. Fatkullin, E.A. Rössler, Macromolecules 48(20), 7521 (2015)ADSCrossRefGoogle Scholar
  21. 21.
    F. Mohamed, M. Hofmann, B. Pötzschner, N. Fatkullin, E.A. Rössler, Macromolecules 48(10), 3294 (2015)CrossRefGoogle Scholar
  22. 22.
    D.A. Markelov, M. Dolgushev, E. Lähderanta, Annu. Rep. NMR Spectrosc. 91, 1 (2017)CrossRefGoogle Scholar
  23. 23.
    M. Chai, Y. Niu, W.J. Youngs, P.L. Rinaldi, J. Am. Chem. Soc. 123(20), 4670 (2001)CrossRefGoogle Scholar
  24. 24.
    A. Sagidullin, V.D. Skirda, E.A. Tatarinova, A.M. Muzafarov, M.A. Krykin, A.N. Ozerin, B. Fritzinger, U. Scheler, Appl. Magn. Reson. 25, 129 (2003)CrossRefGoogle Scholar
  25. 25.
    C. Malveau, W.E. Baille, X.X. Zhu, W.T. Ford, J. Polym. Sci. Part B Polym. Phys. 41, 2969 (2003)ADSCrossRefGoogle Scholar
  26. 26.
    D.A. Markelov, V.V. Matveev, P. Ingman, M.N. Nikolaeva, E. Lähderanta, V.A. Shevelev, N.I. Boiko, J. Phys. Chem. B 114(12), 4159 (2010)CrossRefGoogle Scholar
  27. 27.
    D.A. Markelov, V.V. Matveev, P. Ingman, M.N. Nikolaeva, A.V. Penkova, E. Lähderanta, N.I. Boiko, V.I. Chizhik, Sci. Rep. 6, 24270 (2016)ADSCrossRefGoogle Scholar
  28. 28.
    M. Dolgushev, A. Blumen, J. Chem. Phys. 131, 044905 (2009)ADSCrossRefGoogle Scholar
  29. 29.
    M. Bixon, R. Zwanzig, J. Chem. Phys. 68(4), 1896 (1978)ADSCrossRefGoogle Scholar
  30. 30.
    Y.Y. Gotlib, Y.Y. Svetlov, Polym. Sci. USSR 21, 1682 (1980)CrossRefGoogle Scholar
  31. 31.
    M. Guenza, A. Perico, Macromolecules 25(22), 5942 (1992)ADSCrossRefGoogle Scholar
  32. 32.
    R.G. Winkler, P. Reineker, L. Harnau, J. Chem. Phys. 101(9), 8119 (1994)ADSCrossRefGoogle Scholar
  33. 33.
    R. La Ferla, J. Chem. Phys. 106(2), 688 (1997)ADSCrossRefGoogle Scholar
  34. 34.
    C. von Ferber, A. Blumen, J. Chem. Phys. 116(19), 8616 (2002)ADSCrossRefGoogle Scholar
  35. 35.
    M. Doi, S.F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1988)Google Scholar
  36. 36.
    M.L. Mansfield, W.H. Stockmayer, Macromolecules 13(6), 1713 (1980)ADSCrossRefGoogle Scholar
  37. 37.
    M. Dolgushev, A. Blumen, Macromolecules 42, 5378 (2009)ADSCrossRefGoogle Scholar
  38. 38.
    N. Biggs, Algebraic Graph Theory (Cambridge University Press, Cambridge, 1993)Google Scholar
  39. 39.
    F. Fürstenberg, M. Dolgushev, A. Blumen, J. Chem. Phys. 136, 154904 (2012)ADSCrossRefGoogle Scholar
  40. 40.
    B.H. Zimm, J. Chem. Phys. 24(2), 269 (1956)ADSMathSciNetCrossRefGoogle Scholar
  41. 41.
    I. Teraoka, Polymer Solutions (Wiley Online Library, New York, 2002)Google Scholar
  42. 42.
    K. Osaki, Macromolecules 5(2), 141 (1972)ADSMathSciNetCrossRefGoogle Scholar
  43. 43.
    K. Osaki, J.L. Schrag, J.D. Ferry, Macromolecules 5(2), 144 (1972)ADSCrossRefGoogle Scholar
  44. 44.
    P. Biswas, R. Kant, A. Blumen, J. Chem. Phys. 114(5), 2430 (2001)ADSCrossRefGoogle Scholar
  45. 45.
    A. Kumar, P. Biswas, Macromolecules 43(17), 7378 (2010)ADSCrossRefGoogle Scholar
  46. 46.
    M. Galiceanu, J. Chem. Phys. 140(3), 034901 (2014)ADSCrossRefGoogle Scholar
  47. 47.
    M. Galiceanu, A. Jurjiu, J. Chem. Phys. 145(10), 104901 (2016)ADSCrossRefGoogle Scholar
  48. 48.
    Z.Y. Chen, C. Cai, Macromolecules 32, 5423 (1999)ADSCrossRefGoogle Scholar
  49. 49.
    T. Khazanovich, Polym. Sci. USSR 4(4), 727 (1963)CrossRefGoogle Scholar
  50. 50.
    A. Perico, M. Guenza, J. Chem. Phys. 83, 3103 (1985)ADSCrossRefGoogle Scholar
  51. 51.
    A. Abragam, The Principles of Nuclear Magnetism (Oxford University Press, Oxford, 1961)Google Scholar
  52. 52.
    R. Kimmich, N. Fatkullin, vol. 170. Advances in Polymer Science (Springer, Berlin, Heidelberg, 2004), p. 1Google Scholar
  53. 53.
    R. Kimmich, NMR: Tomography, Diffusometry, Relaxometry (Springer Science & Business Media, Berlin, 2012)Google Scholar
  54. 54.
    V.I. Chizhik, Y.S. Chernyshev, A.V. Donets, V.V. Frolov, A.V. Komolkin, M.G. Shelyapina, Magnetic Resonance and its Applications (Springer, Cham, 2014)Google Scholar
  55. 55.
    Yu.Ya. Gotlib, D.A. Markelov, Polym. Sci. Ser. A 49(10), 1137 (2007)CrossRefGoogle Scholar
  56. 56.
    D.A. Markelov, S.V. Lyulin, Y.Y. Gotlib, A.V. Lyulin, V.V. Matveev, E. Lahderanta, A.A. Darinskii, J. Chem. Phys. 130(4), 044907 (2009)ADSCrossRefGoogle Scholar
  57. 57.
    D.A. Markelov, Y.Y. Gotlib, A.A. Darinskii, A.V. Lyulin, S.V. Lyulin, Polym. Sci. Ser. A 51(3), 331 (2009)CrossRefGoogle Scholar
  58. 58.
    S.V. Lyulin, A.A. Darinskii, A.V. Lyulin, M. Michels, Macromolecules 37(12), 4676 (2004)ADSCrossRefGoogle Scholar
  59. 59.
    C. Cai, Z.Y. Chen, Macromolecules 30, 5104 (1997)ADSCrossRefGoogle Scholar
  60. 60.
    Yu.Ya. Gotlib, D.A. Markelov, Polym. Sci. Ser. A 44(12), 1341 (2002)Google Scholar

Copyright information

© Springer-Verlag Wien 2017

Authors and Affiliations

  1. 1.Institute of PhysicsUniversity of FreiburgFreiburgGermany
  2. 2.Institut Charles SadronUniversité de Strasbourg and CNRSStrasbourg CedexFrance
  3. 3.St. Petersburg State UniversitySt. PetersburgRussia
  4. 4.St. Petersburg National Research University of Information Technologies Mechanics and Optics (ITMO University)St. PetersburgRussia

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