Abstract
The influence of thermal molecular motions on spin echo decay in pure nuclear quadrupole resonance (NQR) is considered. Our calculations show that the Hahn echo decay is caused by dipole-dipole interaction of the nuclear spins and is strongly affected by molecular mobility that can lead to the shortening of the echo decay with increased temperature. Slow molecular motion yields an exponential τ3 time dependence, while fast motion yields an exponential decay. The outlined theory allows us to explain an unusual shortening of the35Cl NQR echo decay on heating in thiourea-C2Cl6 inclusion compound.
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Dehmelt H.G., Krüger H.: Naturwissenschaften37, 111 (1950); ibid. Naturwissenschaften38, 921 (1951)
Ayant Y.: C. R.233, 949 (1951)
Hahn E.L., Herzog B.: Phys. Rev.93, 639 (1954)
Bloom M., Norberg R.: Phys. Rev.93, 638 (1954)
Bloom M.: Phys. Rev.94, 1396 (1954)
Das T.P., Saha A.K.: Phys. Rev.98, 516 (1955)
Ayant Y.: Ann. Phys. (Paris)10, 487 (1955)
Das T.P., Hahn E.L.: Nuclear Quadrupole Resonance Spectroscopy. New York: Academic Press 1958.
Woessner D.E., Gutowsky H.S.: J. Chem. Phys.39 440 (1963)
Isbister D.J., Krishnan M.S., Sanctuary B.C.: Mol. Phys.86, 1517 (1955)
Pratt J.C.: Mol. Phys.34, 539 (1977)
Powles J.G., Mansfield P.: Phys. Rev. Lett.2, 58–59 (1962)
Powles J.G., Strange J.H.: Proc. Phys. Soc. Lohd.82, 6–15 (1963)
Spiess H.W., Sillescu H.: J. Magn. Res.42, 381–389 (1981)
Sergeev N.A., Ryabushkin D.S., Moskvich Yu.N.: Phys. Lett.104A, 97–99 (1984)
Ryabushkin D.S., Moskvich Yu.N., Sergeev N.A.: Phys. Lett.121A, 357–361 (1987)
Sergeev N.A., Ryabushkin D.S., Kolpaschikova N.P.: Phys. Lett.152, 87–88 (1991)
Abragam A.: The Principles of Nuclear Magnetism. Oxford: Clarendon Press 1961.
Abragam A., Kambe K.: Phys. Rev.97, 1699 (1955)
Slichter C.P.: Principles of Magnetic Resonance. Berlin: Springer 1980.
Gardner W.A.: Introduction to Random Processes. New York: MacMillan 1986.
Sobczyk K.: Differential Equations with Application to Physics and Engineering. Amsterdam: Kluwer Academic 1991.
Salikhov K.M., Semenov A.G., Tsvetkov Yu.D.: Electron Spin Echo and Its Application Novosibirsk: Nauka 1972.
Ailion D.C., Norcross J.A.: Phys. Rev. Lett.74, 2383 (1995)
Papavassiliou G., Leventis A., Milia F., Dolinsek J.: Phys. Rev. Lett.74, 2387 (1995); Papavassiliou G., Fardis M., Leventis A., Milia F., Dolinsek J., Apih T., Mikac M.U.: Phys. Rev. B55, 12161 (1997)
Takemoto K., Sonoda N. in: Inclusion Compounds (Atwood J.L., Davies J.E.D., MacNicol D.D., eds.), vol. 2, p. 47. New York: Academic Press 1984.
Hollingsworth M.D., Harris K.D.M. in: Comprehensive Supramolecular Chemistry (MacNicol D.D., Toda F., Bishop R., eds.), vol. 6. New York: Pergamon Press 1996.
Panich A.M., Semenov A.R., Chekhova G.N., Krieger Yu. H., Goren S.D.: Solid State Commun.110, 363 (1999)
Chekhova G.N., Goren S.D., Krieger Ju.H., Linsky D., Lusternik V., Panich A.M., Semenov A.R., Voronel A.: Z. Naturforsch.55a, 335–338 (2000)
Mori H.: Prog. Theor. Phys.33, 423 (1965); ibid. Mori, H.: Prog. Theor. Phys.34, 399 (1965)
Lado F., Memory J.D., Parker G.W.: Phys. Rev. B4, 1406 (1971)
Sergeev N.A.: Solid State Nucl. Magn. Reson.10, 45–51 (1997)
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Sergeev, N.A., Panich, A.M. & Olszewski, M. Influence of molecular motions on NQR echoes. Appl. Magn. Reson. 27, 41–57 (2004). https://doi.org/10.1007/BF03166300
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DOI: https://doi.org/10.1007/BF03166300