Equivalence between the "classical" and the "Warren" approaches for the effects of long range dipolar couplings in liquid nuclear magnetic resonance

Journal of Chemical Physics

Volumn 112, Issue 11, 2000, Pages 5091-5094

  Jeener, J ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000393488     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.481063     Document Type: Article

References (18)

1. See, e.g., G. Deville, M. Bernier, and J. M. Delrieux, Phys. Rev. B 19, 5666 (1979); R. Bowtell, R. M. Bowley, and P. Glover, J. Magn. Reson. 88, 643 (1990); A. S. Bedford, R. Bowtell, and M. Bowley, ibid. 93, 516 (1991).
2. See, e.g., G. Deville, M. Bernier, and J. M. Delrieux, Phys. Rev. B 19, 5666 (1979); R. Bowtell, R. M. Bowley, and P. Glover, J. Magn. Reson. 88, 643 (1990); A. S. Bedford, R. Bowtell, and M. Bowley, ibid. 93, 516 (1991).
3. See, e.g., G. Deville, M. Bernier, and J. M. Delrieux, Phys. Rev. B 19, 5666 (1979); R. Bowtell, R. M. Bowley, and P. Glover, J. Magn. Reson. 88, 643 (1990); A. S. Bedford, R. Bowtell, and M. Bowley, ibid. 93, 516 (1991).
4. J. Jeener, A. Vlassenbroek, and P. Broeckaert, J. Chem. Phys. 103, 1309 (1995).
5. M. H. Levitt, Concepts Magn. Reson. 8, 77 (1996).
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7. W. S. Warren, M. Richter, A. H. Andreotti, and B. T. Farmer II, Science 262, 2005 (1993).
8. Q. He, W. Richter, S. Vathyam, and W. S. Warren, J. Chem. Phys. 98, 6779 (1993).
9. W. S. Warren, S. Lee, W. Richter, and S. Vathyam, Chem. Phys. Lett. 247, 207 (1995).
10. S. Lee, W. Richter, S. Vathyam, and W. S. Warren, J. Chem. Phys. 105, 874 (1996).
11. S. Ahn, W. S. Warren, and S. Lee, J. Magn. Reson. 128, 114 (1997).
12. W. S. Warren and S. Ahn, J. Chem. Phys. 108, 1313 (1998).
13. S. Ahn, N. Lisitza, and W. S. Warren, J. Magn. Reson. 133, 266 (1998).
14. For a discussion of the relations between coherences and correlations see, e.g., Appendix B of Ref. 2.
15. R. Kimmich and I. Ardelean, J. Chem. Phys. 110, 3708 (1999).
16. In this equation, it is tacitly understood that all operators have to be extended to the quantum space S for all spins, by multiplication with unit operators as required.
17. Whenever useful for clarity, subscripts c or w will indicate "classical" or "Warren" formalism.
18. For an example of errors caused by the hard version of the high temperature approximation in solid NMR, see the discussion of spin entropy in J. Jeener, Adv. Magn. Reson. 3, 205 (1968).