Multipulse NMR. Part I. The simplest case: Quantum mechanical treatment of a single-spin system

Concepts in Magnetic Resonance

Volumn 8, Issue 1, 1996, Pages 17-32

  Podkorytov, Ivan Sergeevich ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030306659     PISSN: 10437347     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0534(1996)8:1<17::AID-CMR2>3.0.CO;2-S     Document Type: Article

References (25)

1. F. Bloch, "Nuclear Induction," Phys. Rev., 1946, 70, 460-474.
2. H. C. Torrey, "Transient Nutations in Nuclear Magnetic Resonance," Phys. Rev., 1949, 76, 1059-1068.
3. E. L. Hahn, "Spin Echoes," Phys. Rev., 1950, 80, 580-594.
4. A. A. Morozov, A. V. Mel'nikov, and F. I. Skripov, "Methods of Free Nuclear Induction in Weak Magnetic Fields Applied to Some Problems of High-Resolution Radiospectroscopy," Izvest. Akad. Nauk S.S.S.R., Ser. Fiz., 1958, 22, 1141-1144; Chem. Abstr., 1959, 53, 865b.
5. A. A. Morozov, A. V. Mel'nikov, and F. I. Skripov, "Methods of Free Nuclear Induction in Weak Magnetic Fields Applied to Some Problems of High-Resolution Radiospectroscopy," Izvest. Akad. Nauk S.S.S.R., Ser. Fiz., 1958, 22, 1141-1144; Chem. Abstr., 1959, 53, 865b.
6. J. W. Cooly and J. W. Tukey, "An Algorithm for the Machine Calculation of Complex Fourier Series," Math. Comput., 1965, 19, 297-301.
7. R. R. Ernst and W. A. Anderson, "Application of Fourier Transform Spectroscopy to Magnetic Resonance," Rev. Sci. Instr., 1966, 37, 93-102.
8. U. Haeberlen and J. S. Waugh, "Coherent Averaging Effects in Magnetic Resonance," Phys. Rev., 1968, 175, 453-467.
9. J. Jeener, Ampere International Summer School II. Basko Polie, Yugoslavia, 1971, unpublished.
10. W. P. Aue, E. Bartholdi, and R. R. Ernst, "Two-Dimensional Spectroscopy. Application to Nuclear Magnetic Resonance," J. Chem. Phys., 1976, 64, 2229-2246.
11. R. R. Ernst, "Nuclear Magnetic Resonance Fourier Transform Spectroscopy (Nobel Lecture)," Angew. Chem. Int. Ed. Engl., 1992, 31, 805-823.
12. G. Birkhoff and S. MacLane, A Survey of Modern Algebra, Revised Ed., Macmillan, New York, 1953.
13. A. Messiah, Quantum Mechanics, North-Holland, Amsterdam, 1961.
14. K. Blum, Density Matrix. Theory and Applications, Plenum, New York, 1981.
15. A. Abragam, The Principles of Nuclear Magnetism, Clarendon, Oxford, 1961.
16. C. P. Slichter, Principles of Magnetic Resonance, Second Ed., Springer, Berlin, 1980.
17. T. C. Farrar and E. D. Becker, Pulse and Fourier Transform NMR. Introduction to Theory and Methods, Academic, New York, 1971.
18. 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.
19. 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.
20. T. C. Farrar, "Density Matrices in NMR Spectroscopy: Part I," Concepts Magn. Reson., 1990, 2, 1-12.
21. T. C. Farrar, "Density Matrices in NMR Spectroscopy: Part II," Concepts Magn. Reson., 1990, 2, 55-61.
22. O. Sorensen, G. Eich, M. Levitt, G. Bodenhausen, and R. Ernst, "Product Operator Formalism for the Description of NMR Pulse Experiments," Progr. NMR Spectr., 1983, 16, 163-192.
23. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions, Oxford University Press, London, 1987.
24. C. N. Banwell and H. Primas, "On the Analysis of High-Resolution Nuclear Magnetic Resonance Spectra. I. Methods of Calculating N.M.R. Spectra," Mol. Phys., 1963, 6, 225-256.
25. D. D. Traficante, "Phase-Sensitive Detection. Part I: Phase, Gates, Phase-Sensitive Detectors, Mixers, and the Rotating Frame," Concepts Magn. Reson., 1990, 2, 151-167.