Multi-dimensional inverse Laplace spectroscopy in the NMR of porous media;Spectroscopie RMN dans les milieux poreux par inversion Laplace multi-dimensionnelle

Comptes Rendus Physique

Volumn 11, Issue 2, 2010, Pages 172-180

  Galvosas, P ^a   Callaghan, P T ^a  

^a VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

Anisotropy; Diffusion; Exchange; Inverse Laplace transformation; Multi dimensional NMR; Porous media; Relaxation

Indexed keywords

EID: 77956226276     PISSN: 16310705     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crhy.2010.06.014     Document Type: Short Survey

References (24)

1. Ernst R.R., Bodenhausen G., Wokaun A. Principles of Nuclear Magnetic Resonance in One and Two Dimensions 1987, Clarendon Press, Oxford.
2. Lawson C.L., Hanson R.J. Solving Least Squares Problems 1974, Prentice Hall, Englewood Cliffs, NJ.
3. Provencher Stephen W. CONTIN: A general purpose constrained regularization program for inverting noisy linear algebraic and integral equations. Comput. Phys. Commun. 1982, 27(3):229-242.
4. Whittall Kenneth P., MacKay Alexander L. Quantitative interpretation of NMR relaxation data. J. Magn. Reson. August 1989, 84(1):134-152.
5. Morris K.F., Johnson C.S. Diffusion-ordered 2-dimensional nuclear-magnetic-resonance spectroscopy. J. Am. Chem. Soc. April 1992, 114(8):3139-3141.
6. Stilbs P., Paulsen K., Griffiths P.C. Global least-squares analysis of large, correlated spectral data sets: Application to component-resolved FT-PGSE NMR spectroscopy. J. Phys. Chem. May 1996, 100(20):8180-8189.
7. Venkataramanan L., Song Y.Q., Hürlimann M.D. Solving Fredholm integrals of the first kind with tensor product structure in 2 and 2.5 dimensions. IEEE Trans. Signal Process. 2002, 50(5):1017-1026.
8. Hansen P.C. The truncated SVD as a method for regularization. Bit 1987, 27(4):534-553.
9. Callaghan P.T., Furo I. Diffusion-diffusion correlation and exchange as a signature for local order and dynamics. J. Chem. Phys. 2004, 120(8):4032-4038.
10. Qiao Ying, Galvosas Petrik, Adalsteinsson Thorsteinn, Schönhoff Monika, Callaghan Paul T. Diffusion exchange NMR spectroscopic study of dextran exchange through polyelectrolyte multilayer capsules. J. Chem. Phys. 2005, 122:214912.
11. McDonald P.J., Korb J.P., Mitchell J., Monteilhet L. Surface relaxation and chemical exchange in hydrating cement pastes: A two-dimensional NMR relaxation study. Phys. Rev. E 2005, 72(1):011409.
12. Washburn K.E., Callaghan P.T. Tracking pore to pore exchange using relaxation exchange spectroscopy. Phys. Rev. Lett. October 2006, 97(17):175502.
13. Mitchell J., Griffith J.D., Collins J.H.P., Sederman A.J., Gladden L.F., Johns M.L. Validation of NMR relaxation exchange time measurements in porous media. J. Chem. Phys. 2007, 127(23):234701.
14. Song Y.Q., Venkataramanan L., Hürlimann M.D., Flaum M., Frulla P., Straley C. T1-T2 correlation spectra obtained using a fast two-dimensional Laplace inversion. J. Magn. Reson. February 2002, 154:261-268.
15. Hürlimann M.D., Venkataramanan L. Quantitative measurement of two-dimensional distribution functions of diffusion and relaxation in grossly inhomogeneous fields. J. Magn. Reson. 2002, 157(1):31-42.
16. Callaghan P.T., Godefroy S., Ryland B.N. Diffusion-relaxation correlation in simple pore structures. J. Magn. Reson. 2003, 162(2):320-327.
17. Hubbard P.L., McGrath K.M., Callaghan P.T. A study of anisotropic water self-diffusion and defects in the lamellar mesophase. Langumir 2005, 21(10):4340-4346.
18. Qiao Ying, Galvosas Petrik, Callaghan Paul T. Diffusion correlation NMR spectroscopic study of anisotropic diffusion of water in plant tissues. Biophys. J. 2005, 89(4):2899-2905.
19. Arns C.H., Washburn K.E., Callaghan P.T. Multidimensional NMR inverse Laplace spectroscopy in petrophysics. Petrophys. October 2007, 48(5):380-392.
20. Washburn K.E., Callaghan P.T. Propagator resolved transverse relaxation exchange spectroscopy. J. Magn. Reson. June 2007, 186(2):337-340.
21. Lee J.H., Labadie C., Springer C.S., Harbison G.S. 2-dimensional inverse laplace transform NMR - altered relaxation-times allow detection of exchange-correlation. J. Am. Chem. Soc. August 1993, 115(17):7761-7764.
22. Cotts R.M., Hoch M.J.R., Sun T., Markert J.T. Pulsed field gradient stimulated echo methods for improved NMR diffusion measurements in heterogeneous systems. J. Magn. Reson. 1989, 83(2):252-266.
23. Callaghan P.T., Godefroy S., Ryland B.N. Use of the second dimension in PGSE NMR studies of porous media. Magn. Reson. Imaging 2003, 21(3-4):243-248.
24. Gratz Marcel, Wehring Markus, Galvosas Petrik, Stallmach Frank Multidimensional NMR diffusion studies in microporous materials. Microporous Mesoporous Mater. 2009, 125:30-34.