Analytical solutions and simulations for spin-echo measurements of diffusion of spins in a sphere with surface and bulk relaxation

Journal of Magnetic Resonance - Series B

Volumn 112, Issue 1, 1996, Pages 1-17

  Kuchel, Philip W ^a   Lennon, Alison J ^a   Durrant, Christopher ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001960559     PISSN: 10641866     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmrb.1996.0103     Document Type: Article

References (32)

1. H. A. Berthon and P. W. Kuchel, Adv. Mol. Cell Biol. 11, 147 (1995).
2. P. T. Callaghan, Aust. J. Phys. 37, 359 (1984).
3. P. T. Callaghan, "Principles of Nuclear Magnetic Resonance Microscopy," Oxford Univ. Press, Oxford, 1991.
4. P. Stilbs, Prog. NMR Spectrosc. 19, 1 (1987).
5. S. J. Gibbs and C. S. Johnson, J. Magn. Reson. 93, 395 (1991).
6. A. R. Waldeck, A. J. Lennon, B. E. Chapman, and P. W. Kuchel, J. Chem. Soc. Faraday Trans. 89, 2807 (1993).
7. A. J. Lennon and P. W. Kuchel, J. Magn. Reson. A 107, 229 (1994).
8. K. R. Brownstein and C. E. Tarr, Phys. Rev. A 19, 2446 (1979).
9. P. T. Callaghan, A. Coy, T. P. J. Halpin, D. McGowan, K. J. Packer, and F. O. Zelaya, J. Chem. Phys. 97, 651 (1992).
10. P. P. Mitra and P. N. Sen, Phys. Rev. B 45, 143 (1992).
11. E. L. Hahn, Phys. Rev. 80, 580 (1950).
12. D. W. McCall, D. C. Douglass, and E. W. Anderson, Ber. Bunsenges. Phys. Chem. 67, 336 (1963).
13. J. E. Tanner and E. O. Stejskal, J. Chem. Phys. 49, 1768 (1968).
14. J. S. Murday and R. M. Cotts, J. Chem. Phys. 48, 4938 (1968).
15. C. H. Neuman, J. Chem. Phys. 60, 4508 (1974).
16. B. Balinov, B. Jönsson, P. Linse, and O. Söderman, J. Magn. Reson. A 104, 17 (1993).
17. J. E. M. Snaar and H. Van As, J. Magn. Reson. A 102, 318 (1993).
18. P. T. Callaghan, J. Magn. Reson. A 113, 53 (1995).
19. M. C. Piton, R. G. Gilbert, B. E. Chapman, and P. W. Kuchel, Macromolecules 26, 4472 (1993).
20. M. C. Piton, A. J. Lennon, B. E. Chapman, and P. W. Kuchel, J. Colloid Interface Sci. 166, 437 (1994).
21. E. O. Stejskal, J. Chem. Phys. 43, 3597 (1965).
22. J. Kärger and W. Heink, J. Magn. Reson. 51, 1 (1983).
23. S. Wolfram, "Mathematica. A System for Doing Mathematics by Computer," Addison-Wesley, Redwood City, California, 1991.
24. P. Moon and D. E. Spencer, "Field Theory for Engineers," Van Nostrand, Princeton, New Jersey, 1961.
25. P. Moon and D. E. Spencer, "Field Theory Handbook," Springer-Verlag, Berlin, 1988.
26. I. N. Sneddon, "Special Functions of Mathematical Physics and Chemistry," Oliver and Boyd, Edinburgh, 1956.
27. G. Arfken, "Mathematical Methods for Physicists," Academic Press, New York, 1970.
28. J. Kärger, H. Pfeifer, and W. Heink, Adv. Magn. Reson. 12, 1 (1988).
29. S. Frey, J. Kärger, H. Pfeifer, and P. Walther, J. Magn. Reson. 79, 336 (1988).
30. M. C. Wang and G. E. Uhlenbeck, Rev. Mod. Phys. 17, 323 (1945).
31. D. Redfern, "Maple Handbook," Maple V Release 3, Springer-Verlag, New York, 1993.
32. H. S. Carslaw and J. C. Jaeger, "Conduction of Heat in Solids," 2nd ed. Clarendon Press, Oxford, 1986.