[Spectroscopie RMN dans les milieux poreux par inversion Laplace multi-dimensionnelle]
Les méthodes de RMN multi-dimensionnelles basées sur les transformations de Laplace inverses (TLI) peuvent être utilisées pour examiner le comportement de molécules des liquides dans les matrices poreuses. La TLI est particulièrement utile quand le signal est caractérisé par une décroissance multi-exponentielle, par exemple dans la relaxation de spin ou dans le déphasage d'un signal d'écho de spin RMN associé à la diffusion moléculaire sous l'influence de gradients de champ produits par impulsions ou internes. Des expériences de corrélation ou d'échange sont toutes deux possibles, la seconde fournissant des aperçus sur la migration de molécules entre des régions caractérisées par des dynamiques locales différentes.
Multi-dimensional NMR methods based on Inverse Laplace Transformations (ILT) may be used to examine the behavior of liquid state molecules in a porous matrix. The ILT is particularly useful when the signal is characterized by multi-exponential decay, for example in spin relaxation or in the dephasing of the NMR spin echo signal associated with molecular diffusion under the influence of pulsed magnetic or internal field gradients. Both correlation and exchange experiments are possible, the latter providing insight regarding the migration of molecules between regions characterized by different local dynamics.
Mot clés : RMN multi-dimensionnelle, Diffusion, Échange, Anisotropie, Relaxation, Transformée de Laplace inverse, Milieux poreux
@article{CRPHYS_2010__11_2_172_0,
author = {Petrik Galvosas and Paul T. Callaghan},
title = {Multi-dimensional inverse {Laplace} spectroscopy in the {NMR} of porous media},
journal = {Comptes Rendus. Physique},
pages = {172--180},
publisher = {Elsevier},
volume = {11},
number = {2},
year = {2010},
doi = {10.1016/j.crhy.2010.06.014},
language = {en},
}
Petrik Galvosas; Paul T. Callaghan. Multi-dimensional inverse Laplace spectroscopy in the NMR of porous media. Comptes Rendus. Physique, Volume 11 (2010) no. 2, pp. 172-180. doi : 10.1016/j.crhy.2010.06.014. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2010.06.014/
[1] Principles of Nuclear Magnetic Resonance in One and Two Dimensions, Clarendon Press, Oxford, 1987
[2] Solving Least Squares Problems, Prentice Hall, Englewood Cliffs, NJ, 1974
[3] CONTIN: A general purpose constrained regularization program for inverting noisy linear algebraic and integral equations, Comput. Phys. Commun., Volume 27 (1982) no. 3, pp. 229-242
[4] Quantitative interpretation of NMR relaxation data, J. Magn. Reson., Volume 84 ( August 1989 ) no. 1, pp. 134-152
[5] Diffusion-ordered 2-dimensional nuclear-magnetic-resonance spectroscopy, J. Am. Chem. Soc., Volume 114 ( April 1992 ) no. 8, pp. 3139-3141
[6] Global least-squares analysis of large, correlated spectral data sets: Application to component-resolved FT-PGSE NMR spectroscopy, J. Phys. Chem., Volume 100 ( May 1996 ) no. 20, pp. 8180-8189
[7] Solving Fredholm integrals of the first kind with tensor product structure in 2 and 2.5 dimensions, IEEE Trans. Signal Process., Volume 50 (2002) no. 5, pp. 1017-1026
[8] The truncated SVD as a method for regularization, Bit, Volume 27 (1987) no. 4, pp. 534-553
[9] Diffusion–diffusion correlation and exchange as a signature for local order and dynamics, J. Chem. Phys., Volume 120 (2004) no. 8, pp. 4032-4038
[10] Diffusion exchange NMR spectroscopic study of dextran exchange through polyelectrolyte multilayer capsules, J. Chem. Phys., Volume 122 (2005), p. 214912
[11] Surface relaxation and chemical exchange in hydrating cement pastes: A two-dimensional NMR relaxation study, Phys. Rev. E, Volume 72 (2005) no. 1, p. 011409
[12] Tracking pore to pore exchange using relaxation exchange spectroscopy, Phys. Rev. Lett., Volume 97 ( October 2006 ) no. 17, p. 175502
[13] Validation of NMR relaxation exchange time measurements in porous media, J. Chem. Phys., Volume 127 (2007) no. 23, p. 234701
[14] – correlation spectra obtained using a fast two-dimensional Laplace inversion, J. Magn. Reson., Volume 154 ( February 2002 ), pp. 261-268
[15] Quantitative measurement of two-dimensional distribution functions of diffusion and relaxation in grossly inhomogeneous fields, J. Magn. Reson., Volume 157 (2002) no. 1, pp. 31-42
[16] Diffusion–relaxation correlation in simple pore structures, J. Magn. Reson., Volume 162 (2003) no. 2, pp. 320-327
[17] A study of anisotropic water self-diffusion and defects in the lamellar mesophase, Langumir, Volume 21 (2005) no. 10, pp. 4340-4346
[18] Diffusion correlation NMR spectroscopic study of anisotropic diffusion of water in plant tissues, Biophys. J., Volume 89 (2005) no. 4, pp. 2899-2905
[19] Multidimensional NMR inverse Laplace spectroscopy in petrophysics, Petrophys., Volume 48 ( October 2007 ) no. 5, pp. 380-392
[20] Propagator resolved transverse relaxation exchange spectroscopy, J. Magn. Reson., Volume 186 ( June 2007 ) no. 2, pp. 337-340
[21] 2-dimensional inverse laplace transform NMR – altered relaxation-times allow detection of exchange-correlation, J. Am. Chem. Soc., Volume 115 ( August 1993 ) no. 17, pp. 7761-7764
[22] Pulsed field gradient stimulated echo methods for improved NMR diffusion measurements in heterogeneous systems, J. Magn. Reson., Volume 83 (1989) no. 2, pp. 252-266
[23] Use of the second dimension in PGSE NMR studies of porous media, Magn. Reson. Imaging, Volume 21 (2003) no. 3–4, pp. 243-248
[24] Multidimensional NMR diffusion studies in microporous materials, Microporous Mesoporous Mater., Volume 125 (2009), pp. 30-34
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