Multipulse NMR Part II. Product operator description of the weakly coupled, two-spin-1/2 system

Concepts in Magnetic Resonance

Volumn 9, Issue 3, 1997, Pages 117-137

  Podkorytov, I S ^a  

^a Lebedev Research Institute of Synthetic Rubber   (Russian Federation)

Author keywords

AX spin system; Decoupling; Product operator formalism; Spin echo

Indexed keywords

EID: 0031286133     PISSN: 10437347     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-0534(1997)9:3<117::aid-cmr1>3.3.co;2-s     Document Type: Article

References (29)

1. I. S. Podkorytov, "Multipulse NMR. Part I. The Simplest Case: Quantum Mechanical Treatment of a Single-Spin System," Concepts Magn. Reson., 1996, 8, 17-32.
2. H. S. Gutowsky, D. W. MacCall, and C. P. Slichter, "Nuclear Magnetic Resonance Multiplets in Liquids," J. Chem. Phys., 1953, 21, 279-292.
3. A. Abragam, The Principles of Nuclear Magnetism, Clarendon, Oxford, 1961.
4. J. W. Emsley, J. Feeney, and L. H. Sutcliffe, High Resolution Nuclear Magnetic Resonance Spectroscopy, Vol. 1, Pergamon, Oxford, 1965.
5. H. Günther, NMR Spectroscopy. An Introduction, Wiley, New York, 1980.
6. R. Freeman and H. D. W. Hill, "High Resolution Study of Spin Echoes: J Spectra," J. Chem. Phys., 1971, 54, 301-313.
7. A. Bax, Two-Dimensional Nuclear Magnetic Resonance in Liquids, Delft University, Delft, The Netherlands, 1984.
8. D. Ziessow, "Understanding Multiple-Pulse Experiments - An Introduction to the Product-Operator Description. I. Starting with the Vector Model," Concepts Magn. Reson., 1990, 2, 81-100.
9. D. F. Lowry, "Correlated Vector Model of Multiple-Spin Systems," Concepts Magn. Reson., 1994, 6, 25-39.
10. A. Messiah, Quantum Mechanics, North-Holland, Amsterdam, The Netherlands, 1961.
11. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions, Oxford University, London, 1987.
12. M. Goldman, Quantum Description of High-Resolution NMR in Liquids, Oxford University, New York, 1988.
13. L. E. Kay and R. E. D. McClung, "A Product Operator Description of AB and ABX Spin Systems," J. Magn. Reson., 1988, 77, 258-273.
14. P. B. Kingsley, "Coherence Pathways with Cartesian Product Operators: The C3PO Method," J. Magn. Reson., 1994, A, 707, 14-23.
15. O. W. Sørensen, G. W. Eich, M. H. Levitt, G. Bodenhausen, and R. R. Ernst, "Product Operator Formalism for the Description of NMR Pulse Experiments," Prog. NMR Spectr., 1983, 16, 163-192.
16. J. Shriver, "Product Operators and Coherence Transfer in Multiple-Pulse NMR Experiments," Concepts Magn. Reson., 1992, 4, 1-33.
17. D. E. Wemmer, "Homonuclear Correlated Spectroscopy (COSY): The Basics of Two-Dimensional NMR," Concepts Magn. Reson., 1989, 1, 59-72.
18. C. P. Slichter, Principles of Magnetic Resonance, 2nd ed., Springer, Berlin, 1980.
19. T. C. Farrar and E. D. Becker, Pulse and Fourier Transform NMR. Introduction to Theory and Methods, Academic, New York, 1971.
20. J. D. Roberts, "The Bloch Equations: How to Have Fun Calculating What Happens in NMR Experiments with a Personal Computer," Concepts Magn. Reson., 1991, 3, 27-45.
21. G. Birkhoff and S. MacLane, A Survey of Modern Algebra, Revised ed., Macmillan, New York, 1953.
22. K. Blum, Density Matrix. Theory and Applications, Plenum, New York, 1981.
23. C. W. Helstrom, Quantum Detection and Estimation Theory, Academic, New York, 1976.
24. T. C. Farrar, "Density Matrices in NMR Spectroscopy: Part II," Concepts Magn. Reson., 1990, 2, 55-61.
25. I. S. Podkorytov, "Seven-Pulse Sequence DEPT-INADEQUATE," J. Magn. Reson., 1990, 89, 129-132.
26. P. B. Kingsley, "Product Operators, Coherence Pathways, and Phase Cycling. Part I: Product Operators, Spin-Spin Coupling, and Coherence Pathways," Concepts Magn. Reson., 1995, 7, 29-47.
27. G. Wei and R. F. Snider, "A Pictorial Representation for Multispin Evolutions," Concepts Magn. Reson., 1995, 7, 153-163.
28. D. Canet, J. Brondeau, J. C. Boubel, and A. Retournard, "A One-Dimensional Selective Version of the INADEQUATE Experiment for Determining Carbon-Carbon Connectivities. Analysis of Multi-Pulse Experiments by a Vectorial Representation," Magn. Reson. Chem., 1987, 25, 298-803.
29. U. Eggenberger and G. Bodenhausen, "Modern NMR Pulse Experiments: A Graphical Description of the Evolution of Spin Systems," Angew. Chem. Int. Ed. (Engl.), 1990, 29, 374-383.