Bloch equations revisited: New analytical solutions for the generalized bloch equations

Concepts in Magnetic Resonance

Volumn 9, Issue 1, 1997, Pages 1-12

  Madhu, P K ^a   Kumar, Anil ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031287981     PISSN: 10437347     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0534(1997)9:1<1::AID-CMR1>3.0.CO;2-2     Document Type: Article

References (14)

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. A. Abragram, Principles of Nuclear Magnetic Resonance, Oxford University Press, London, 1961, pp. 45-46.
4. J. McConnell, The Theory of Nuclear Magnetic Relaxation in Liquids, Cambridge University, London, 1987, p. 9.
5. P. W. Atkins, K. A. McLauchlan, and P. W. Percival, "Electron Spin-Lattice Relaxation Times from the Decay of E.S.R. Emission Spectra," Mol. Phys., 1973, 25, 281-296.
6. J. B. Pedersen, "Theory of Transient Effects in Time Resolved ESR Spectroscopy," J. Chem. Phys., 1973 59, 2656-2667.
7. 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.
8. C. P. Slichter, Principles of Magnetic Resonance, 3rd ed., Springer Verlag, New York, 1989, pp. 35-36.
9. R. V. Mulkern and M. L. Williams, "The General Solution to the Bloch Equation with Constant rf and Relaxation Terms: Application to Saturation and Slice Selection," Med. Phys., 1993, 20, 5-13.
10. G. A. Morris and P. B. Chilvers, "General Analytical Solutions of the Bloch Equations," J. Magn. Reson., 1994, A 107, 236-238.
11. P. J. Hore and K. A. McLauchlan, "Chemically Induced Dynamic Electron Polarization (CIDEP) and Spin-Relaxation Measurements by Flash-Photolysis Electron Paramagnetic Resonance Methods," J. Magn. Reson., 1979, 36, 129-134.
12. P. K. Madhu and Anil Kumar, "Direct Cartesian Space Solutions of the Generalized Bloch Equations in the Rotating Frame," J. Magn. Reson., 1995, A 114, 201-212.
13. S. Barnard and J. M. Child, Higher Algebra, Macmillan, London, 1960.
14. W. H. Beyer, Ed., Standard Mathematical Tables, 25th ed., CRC, Boca Raton, FL, 1978.