Spatial coherence phenomena arising from translational spin motion in gradient spin echo experiments

Concepts in Magnetic Resonance

Volumn 11, Issue 4, 1999, Pages 181-202

  Callaghan, P T ^a,c,d   Codd, S L ^a,e   Seymour, J D ^a,b,f  

^a MASSEY UNIVERSITY   (New Zealand)

^b New Mexico Resonance   (United States)

^c UNIVERSITY OF OXFORD   (United Kingdom)

^d Pulsed Gradient Spin Echo NMR   (New Zealand)

^e UNIVERSITY OF KENT   (United Kingdom)

^f UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Dispersion; Flow diffraction; NMR microscopy; Porous media; Pulsed gradient spin echo NMR

Indexed keywords

EID: 0033469788     PISSN: 10437347     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0534(1999)11:4<181::AID-CMR1>3.0.CO;2-T     Document Type: Article

References (39)

1. Mansfield P, Grannell PK. NMR "diffraction" in solids? J Phys C Solid State Phys 1973; 6: 422-426.
2. Barrall GA, Frydman L, Chingas GC. NMR diffraction and spatial statistics of stationary systems. Science 1992; 255: 714-717.
3. Hayward RJ, Packer KJ, Tomlinson DJ. Pulsed field-gradient spin echo NMR studies of flow in fluids. Mol Phys 1972; 23: 1083-1102.
4. Cory DG, Garroway AN. Measurement of translational displacement probabilities by NMR: An indicator of compartmentation. Magn Reson Med 1990; 14: 435-444.
5. Callaghan PT, MacGowan D, Packer KJ, Zelaya FO. High resolution q-space imaging in porous structures. J Magn Reson 1990; 90: 177.
6. Callaghan PT. Principles of nuclear magnetic resonance microscopy. Oxford: Oxford University Press; 1991.
7. Callaghan PT, Coy A, Halpin JP, MacGowan D, Packer KJ, Zelaya FO. Diffusion in porous systems and the influence of pore morphology in pulsed gradient spin-echo NMR studies. J Chem Phys 1992; 97: 651-652.
8. Snaar JEM, Van As H. NMR self-diffusion measurements in a bounded system with loss of magnetization at the walls. J Magn Reson A 1993; 102: 318.
9. Balinov B, Soderman O, Ravey JC. Diffraction-like effects observed in the PGSE experiment when applied to a highly concentrated water/oil emulsion. J Phys Chem 1994; 98: 393-395.
10. Coy A, Callaghan PT. Pulsed gradient spin echo nuclear magnetic resonance for molecules diffusing between partially reflecting rectangular barriers. J Chem Phys 1994; 101: 4599.
11. Coy A, Callaghan PT. Pulsed gradient spin-echo NMR "diffusive diffraction" experiments on water surrounding close-packed polymer spheres. J Colloid Interface Sci 1994; 168: 373-379.
12. Seymour JD, Callaghan PT. "Flow diffraction" structural characterisation and measurement of hydrodynamic dispersion in porous media by PGSE NMR. J Magn Reson A 1996; 122: 90-93.
13. Ding A, Candela D. Probing non-local tracer dispersion in flow through random porous media. Phys Rev E 1996; 54: 656-660.
14. Hahn EL. Spin echoes. Phys Rev 1950; 80: 580-594.
15. Stejskal EO, Tanner JE. Spin diffusion measurements: Spin echoes in the presence of a time-dependent field gradient. J Chem Phys 1965; 42: 288-292.
16. Stepisnik J, Kos M, Planinsic G, Erzen V. Strong non-uniform magnetic field for self-diffusion measurement by NMR. J Magn Reson A 1994; 107: 167.
17. Stepisnik J. Violation of the gradient approximation in NMR self-diffusion measurements, Zeitschrift fur Physickalische Chemie 1995; 190: 51-62.
18. Callaghan PT, Stepisnik J. Generalised analysis of motion using magnetic field gradients. Adv Magn Opt Reson 1996; 19: 325-388.
19. Egelstaff PA. An introduction to the liquid state. London: Academic Press; 1967.
20. Callaghan PT. Pulsed field gradient NMR as a probe of liquid state molecular organization. Aust J Phys 1984; 37: 359-387.
21. Karger J, Heink W. The propagator representation of molecular transport in microporous crystallites. J Magn Reson 1983; 51: 1-7.
22. Callaghan PT, Coy A, MacGowan D, Packer KJ, Zelaya FO. Diffraction-like effects in NMR diffusion studies of fluids in porous solids. Nature 1991; 351: 467-469.
23. Taylor GI. Dispersion of soluble matter in solvent flowing slowly through a tube. Proceedings of Royal Society (London) 1953; A219: 186.
24. Van Den Broeck C. Taylor dispersion revisited. Physica A 1990; 168: 677-696.
25. Bouchaud JP, Georges A. Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications. Phys Rep 1990; 195: 127-293.
26. Callaghan PT. Pulsed-gradient-spin-echo NMR for planar, cylindrical, and spherical pores under conditions of wall relaxation. J Magn Reson A 1995; 113: 53-59.
27. Codd SL, Callaghan PT. Spin echo analysis of restricted diffusion under generalised gradient waveforms: Planar, cylindrical and spherical pores, with wall relaxivity. J Magn Reson in press.
28. Bergman DJ, Dunn KJ. Self-diffusion in a periodic porous medium with interface absorption. Phys Rev E 1995; 51: 3401-3416.
29. Kuchel PW, Coy A, Stilbs P. NMR "diffusive-diffraction" of water revealing alignment of erythrocytes in a magnetic field and their dimensions and membrane transport characteristics. Magn Reson Med 1997; 37: 637-643.
30. 6. Phys Rev B 1995; 52: 16385-16394.
31. Mitra PP, Sen PN, Schwartz LM, Le Doussal P. Diffusion propagator as a probe of the structure of porous media. Phys Rev Lett 1992; 68: 3555-3558.
32. Mitra PP, Sen PN. Effects of microgeometry and surface relaxation on NMR pulsed-field-gradient experiments: Simple pore geometries. Phys Rev B 1992; 45: 143-156.
33. Kuchel PW, Lennon AJ, Durrant C. Analytical solutions and simulations for spin-echo measurements of diffusion of spins in a sphere with surface and bulk relaxation. J Magn Reson B 1996; 112: 1-17.
34. Seymour JD, Callaghan PT. A generalised approach to the measurement of flow and dispersion in a porous medium using nuclear magnetic resonance. AICHE J 1997; 43: 2096-2111.
35. Koch DL, Brady JF. A non-local description of advective-diffusion with application to dispersion in porous media. AICHE J 1987; 180: 387.
36. Gardiner CW. Handbook of stochastic methods for physics, chemistry and the natural sciences. 2nd ed. New York: Springer; 1990.
37. Callaghan PT, Manz B. Velocity exchange spectroscopy. J Magn Reson A 1994; 106: 260-265.
38. Van Den Broeck C. A stochastic description of longitudinal dispersion in uniaxial flows. Physica 1982; 112A: 343-352.
39. Aris R. On the dispersion of a solute in a fluid flowing through a tube. Proc R Soc Lond 1956; A235: 67-77.