Hyperfine Interactions

, Volume 62, Issue 4, pp 255–272 | Cite as

Irreducible tensor operators and selective/hard single and double resonance experiments in insulators: Applications to NMRON and MQ-NMR

  • G. J. Bowden
  • P. J. Back
Article

Abstract

Recently, pulsed NMRON experiments have been carried out on trace amounts of radioactive54Mn in the antiferromagnet MnCl24H2O at 500 MHz (Le Gros et al. [1]). In this compound, the quadrupole splitting between the two lowest NMR transitions is ≈3 MHz, which precludes the use of non-selective (hard) rf pulses. Yet within the restricted 2*2 manifold, associated with a given transition, the nuclear rotation is “hard”. In this paper, the theory of “selective-hard” NMRON and MQ-NMR experiments is developed within the framework of irreducible tensor operators. In essence, the theory extends the early work of Jaynes [4] to deal with the higher-order multipolar states created during the course of a given NMR experiment. Several new pulsed NMRON and MQ-NMR experiments are proposed. For example, it is demonstrated how “ouble resonance”, “selective-hard” experiments on the pseudo spin-1 manifold spanned by |±1> and |0> Zeeman states of any integer spinI could be used to extract small chemical shifts in the face of very large quadrupole splittings.

Keywords

Manifold Quadrupole Splitting Double Resonance Resonance Experiment Small Chemical 

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References

  1. [1]
    M. Le Gros, A. Kotlicki and B.G. Turrell, Hyp. Int. 36(1987)161–170.Google Scholar
  2. [2]
    D.H. Chaplin and G.V.H. Wilson, inLow Temperature Nuclear Orientation, ed. N.J. Stone and H. Postma (North-Holland, Amsterdam, 1987).Google Scholar
  3. [3]
    A.L. Allsop, M. de-Araujo, G.J. Bowden, R.G. Clark and N.J. Stone, J. Phys. C17(1984)915.CrossRefADSGoogle Scholar
  4. [4]
    E.T. Jaynes, Phys. Rev. 98(1955)1099.CrossRefADSGoogle Scholar
  5. [5]
    P.T. Callaghan, P.J. Back and D.H. Chaplin, Phys. Rev. B37(1988)4900–4910.CrossRefADSGoogle Scholar
  6. [6]
    P.J. Back, D.H. Chaplin and P.T. Callaghan, Phys. Rev. B37(1988)4911–4919.CrossRefADSGoogle Scholar
  7. [7]
    R.M. Steffen and K. Alder, in:The Electomagnetic, Interaction in Nuclear Spectroscopy, ed. W.D. Hamilton (North-Holland, Amsterdam, 1975).Google Scholar
  8. [8]
    B.C. Sanctuary T.K. Halstead and P.R. Osment, Mol. Phys. 49(1983)753.Google Scholar
  9. [9]
    G.J. Bowden and W.D. Hutchison, J. Mag. Res. 67(1986)403.Google Scholar
  10. [10]
    G.J. Bowden, J. Khachan and J.P.D. Martin, J. Mag. Res. 83(1989)79–96.Google Scholar
  11. [11]
    P.T. Callaghan and P.J. Saunders, Mag. Res. 78(1987)213–222.Google Scholar
  12. [12]
    G.J. Bowden and W.D. Hutchison, J. Mag. Res. 72(1987)1–13.Google Scholar
  13. [13]
    N.J. Stone and H. Postma, in:Low Temperature Nuclear Orientation (North-Holland, Amsterdam, 1987).Google Scholar
  14. [14]
    A. Abragam,Principles of Nuclear Magnetism (Clarendon Press, Oxford, 1961).Google Scholar
  15. [15]
    R.A. Freeman,Handbook of Nuclear Magnetic Resonance (Longman Scientific and Technical, 1987).Google Scholar
  16. [16]
    A.J. Shaka, Chem. Phys. Lett. 120(1985)201.CrossRefADSGoogle Scholar
  17. [17]
    M. Bloom, E.L. Hahn and B. Herzog, Phys. Rev. 97(1955)1699.CrossRefADSGoogle Scholar
  18. [18]
    T.P. Das and E.L. Hahn,Nuclear Quadrupole Resonance Spectroscopy, Solid State Physics Suppl. 1 (Academic Press, 1958).Google Scholar
  19. [19]
    R. Reddy, Ph.D. Thesis, Kanpur, India (1988).Google Scholar
  20. [20]
    R.G. Ernst, G. Bodenhausen and A. Wokaun,Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Clarendon Press, Oxford, 1987).Google Scholar
  21. [21]
    H.A. Buckmaster, R. Chatterjee and Y.H. Singh, Phys. Stat. Sol. 13(1972)9.Google Scholar

Copyright information

© J.C. Baltzer AG, Scientific Publishing Company 1990

Authors and Affiliations

  • G. J. Bowden
    • 1
  • P. J. Back
    • 1
  1. 1.Mullard Cryogenic Laboratory, Clarendon LaboratoryUniversity of OxfordOxfordUK

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