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2H NMR studies for the examination of methyl group rotations between their classical and quantum mechanical limits

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Zeitschrift für Physik B Condensed Matter

Abstract

2H NMR spectra of copper acetate monohydrate [Cu(CD3CO2)2]·H2O, hexamethylbenzene-d18 and acetone-d6 were analyzed to characterize methyl group rotations between their classical and quantum mechanical limits. The temperature dependent spectra show the three different possible developments of the lineshapes. Hexamethylbenzene is typical of compounds with small but resolvable tunnelling frequencies. Characteristic splittings in the spectra of copper acetate monohydrate reveal the temperature dependence of tunnelling frequencies that are slightly larger than the quadrupole coupling constant. While the tunnelling frequency of acetone is already too large to be specified from2H NMR lineshape analysis at temperatures low enough that quantum effects influence the spectra, the temperature dependent spectra deviate characteristically from those found for classical rotation. Additionally to these experimental results, we outline how from an NMR point of view mixed classical and quantum rotations can be described by a single complex frequency.

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References

  1. Spiess, H.W., Sillescu, H.: J. Magn. Res.42, 381 (1981)

    Google Scholar 

  2. Schmidt, C., Kuhn, K.J., Spiess, H.W.: Prog. Colloid Polymer Sci.71, 71 (1985)

    Google Scholar 

  3. Greenfield, M.S., Ronemus, A.D., Vold, R.L., Vold, R.R., Ellis, P.D., Raidy, T.E.: J. Magn. Res.72, 89 (1987)

    Google Scholar 

  4. Ebelhäuser, R., Spiess, H.W.: Ber. Bunsenges. Phys. Chem.89, 1208 (1985)

    Google Scholar 

  5. Schmidt, C., Blümich, B., Wefing, S., Kaufmann, S., Spiess, H.W.: Ber. Bunsenges. Phys. Chem.91, 1141 (1987)

    Google Scholar 

  6. Schmidt, C., Wefing, S., Blümich, B., Spiess, H.W.: Chem. Phys. Lett.130, 84 (1986)

    Google Scholar 

  7. Spiess, H.W.: J. Chem. Phys.72, 6755 (1980)

    Google Scholar 

  8. Bloembergen, N., Purcell, E.M., Pound, R.V.: Phys. Rev.73, 679 (1948)

    Google Scholar 

  9. Prager, M.: Physica B174, 218 (1991)

    Google Scholar 

  10. Haupt, J.: Z. Naturforsch.26a, 1578 (1971)

    Google Scholar 

  11. Langen, H., Montjoie, A.S., Müller-Warmuth, W., Stiller, H.: Z. Naturforsch.42a, 1266 (1987)

    Google Scholar 

  12. Montjoie, A.S., Müller-Warmuth, W., Stiller, H., Stanislawski, J.: Z. Naturforsch.43a, 35 (1988)

    Google Scholar 

  13. Prager, M., Hempelmann, R., Langen, H., Müller-Warmuth, W.: J. Phys. Condens. Matter2, 8625 (1990)

    Google Scholar 

  14. Coppens, P. Van Gerven, L., Clough, S., Horsewill, A.J.: J. Phys. C: Solid State Phys.16, 567 (1983)

    Google Scholar 

  15. Buekenhoudt, A., Vandemaele, G., Van Gerven, L.: Phys. Rev. B41, 9038 (1990)

    Google Scholar 

  16. Clough, S., Horsewill, A.J., McDonald P.J., Zelaya, F.O.: Phys. Rev. Lett.55, 1794 (1985)

    Google Scholar 

  17. Majer, G., Black, B., Pines, A.: Presented Symposium on Quantum Aspects of Molecular Motions in Solids, Rottach-Egern 1991

  18. Andrew, E.R., Behrsohn, R.: J. Chem. Phys.18, 159 (1950)

    Google Scholar 

  19. Apaydin, F., Clough S.: J. Phys. C1, 932 (1968)

    Google Scholar 

  20. Mottley, C., Johnson, C.: J. Chem. Phys.61, 1078 (1974)

    Google Scholar 

  21. Lałowicz, Z.T.: Z. Naturforsch.43a, 895 (1988)

    Google Scholar 

  22. Lałowicz, Z.T., Werner, U., Müller-Warmuth, W.: Z. Naturforsch.43a, 219 (1988)

    Google Scholar 

  23. Idziak, S., Haeberlen, U., Zimmermann, H.: Mol. Phys.73, 571 (1991)

    Google Scholar 

  24. Bernhard, T., Haeberlen, U.: Chem. Phys. Lett.186, 307 (1991)

    Google Scholar 

  25. Börner, K., Diezemann, G., Rössler, E., Vieth, H.M.: Chem. Phys. Lett.181, 563 (1991)

    Google Scholar 

  26. Werner, U., Müller-Warmuth, W., Pines, A.: Bull. Magn. Reson.12, 9 (1990)

    Google Scholar 

  27. Zhang, D., Prager, M., Weiss, A.: J. Chem. Phys.94, 1765 (1991)

    Google Scholar 

  28. Tang, J., Pines, A., Emid, S.: J. Chem. Phys.73, 172 (1980)

    Google Scholar 

  29. Diezemann, G., Sillescu, M., van der Putten, D.: Z. Phys. B83, 245 (1991)

    Google Scholar 

  30. Heuer, A.: Z. Phys. B88, 39 (1992)

    Google Scholar 

  31. Würger, A.: Z. Phys. B80, 113 (1990)

    Google Scholar 

  32. Freed, J.H.: J. Chem. Phys.43, 1710 (1965)

    Google Scholar 

  33. Ronemus, A.D., Vold, R.L., Vold, R.R.: J. Magn. Res.70, 416 (1986)

    Google Scholar 

  34. Werner, U.: Dissertation, Münster, unpublished (1991)

  35. Jannek, H.D., Müller-Warmuth, W.: Z. Naturforsch.35a, 92 (1980)

    Google Scholar 

  36. Brown, G.M., Chidambaram, R.: Acta Crystallogr. B29, 2393 (1973)

    Google Scholar 

  37. Bruggeman, M.: Dissertation, Universität Leuven (1990)

  38. Allen, P.S., Cowking, A.: J. Chem. Phys.47, 4286 (1967); Allen, P.S., Branson, P., Punkkinen, M., Taylor, D.G.: J. Phys. C9, 4453, (1976)

    Google Scholar 

  39. Lighthelm, D.: Dissertation, Technische Hogeschool Delft 1981

  40. Vold, R.R., Brandes, R., Tsang, P., Kearns, D.R., Vold, R.L.: J. Am. Chem. Soc.108, 302 (1986)

    Google Scholar 

  41. Clough, S., Horsewill, A.J., McDonald, P.J.: J. Phys. C: Solid State Phys.17, 1115 (1984)

    Google Scholar 

  42. Schwartz, L.J., Meirovitsch, E., Ripmeester, J.A., Freed, J.H.: J. Phys. Chem.87, 4453 (1983)

    Google Scholar 

  43. Jones, E.P., Bloom, M.: Phys. Rev. Lett.28, 1239 (1972)

    Google Scholar 

  44. Takeda, S., Soda, G., Chihara, H.: Solid State Commun.36, 445 (1980)

    Google Scholar 

  45. Rush, J.J., Taylor, T.I. J. Chem. Phys.44, 2749 (1966)

    Google Scholar 

  46. Schnepp, O.: J. Chem. Phys.30, 48 (1959)

    Google Scholar 

  47. Häusler, W., Hüller, A.: Z. Phys. B59, 177, (1985)

    Google Scholar 

  48. van Wüllen, L., Müller-Warmuth, W.: Ber. Bunsenges. Phys. Chem.93, 1298 (1989)

    Google Scholar 

  49. Bloom, M., Davis, J.H., Valic, M.: Can. J. Phys.58, 1510 (1980)

    Google Scholar 

  50. Barbara, T.M., Greenfield, M.S., Vold, R.L., Vold, R.R.: J. Magn. Res.69, 311 (1986)

    Google Scholar 

  51. Symposium on Quantum Aspects of Molecular Motions in Solids, Rottach-Egern, Germany 1991

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Werner, U., Müller-Warmuth, W. 2H NMR studies for the examination of methyl group rotations between their classical and quantum mechanical limits. Z. Physik B - Condensed Matter 91, 65–76 (1993). https://doi.org/10.1007/BF01316710

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  • DOI: https://doi.org/10.1007/BF01316710

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