Gaussian-approximation formalism for evaluating decay of NMR spin echoes.

作者: C. H. Recchia , K. Gorny , C. H. Pennington

DOI: 10.1103/PHYSREVB.54.4207

关键词:

摘要: We present a formalism for evaluating the amplitude of NMR spin echo and stimulated as function pulse spacings, situations in which nuclear spins experience an effective longitudinal magnetic field {ital h}{sub z}}({ital t}) resulting from arbitrary number independent sources, each characterized by its own time correlation function. The distribution accumulated phase angles ensemble at is approximated Gaussian. development motivated need to understand transverse relaxation {sup 89}Y YBa{sub 2}Cu{sub 3}O{sub 7}, experiences 63,65}Cu dipolar fields fluctuate due T}{sub 1} processes. applied successfully this example, case nuclei diffusing spatially varying field. Then we examine situation approximation fails{emdash}the classic problem chemical exchange dimethylformamide, where methyl protons shift fluctuates between two discrete values. In Gaussian yields monotonic decay with increasing spacing, while exact solution distinct {open_quote}{open_quote}beats{close_quote}{close_quote}more » height, confirm experimentally. light final example limits validity are discussed. {copyright} 1996 American Physical Society.}« less

参考文章(17)
B. Herzog, E. L. Hahn, Transient Nuclear Induction and Double Nuclear Resonance in Solids Physical Review. ,vol. 103, pp. 148- 166 ,(1956) , 10.1103/PHYSREV.103.148
R. E. Walstedt, S-W. Cheong, 63,65Cu and 17O spin-echo decay and the static susceptibility chi '(q) in La1.85Sr0.15CuO4. Physical Review B. ,vol. 51, pp. 3163- 3175 ,(1995) , 10.1103/PHYSREVB.51.3163
H. Y. Carr, E. M. Purcell, Effects of Diffusion on Free Precession in Nuclear Magnetic Resonance Experiments Physical Review. ,vol. 94, pp. 630- 638 ,(1954) , 10.1103/PHYSREV.94.630
H. C. Torrey, Bloch Equations with Diffusion Terms Physical Review. ,vol. 104, pp. 563- 565 ,(1956) , 10.1103/PHYSREV.104.563
John C. Tarczon, W. P. Halperin, Interpretation of NMR diffusion measurements in uniform- and nonuniform-field profiles Physical Review B. ,vol. 32, pp. 2798- 2807 ,(1985) , 10.1103/PHYSREVB.32.2798
Baldwin Robertson, Spin-Echo Decay of Spins Diffusing in a Bounded Region Physical Review. ,vol. 151, pp. 273- 277 ,(1966) , 10.1103/PHYSREV.151.273
P. W. Anderson, P. R. Weiss, Exchange Narrowing in Paramagnetic Resonance Reviews of Modern Physics. ,vol. 25, pp. 269- 276 ,(1953) , 10.1103/REVMODPHYS.25.269
C. H. Neuman, Spin echo of spins diffusing in a bounded medium Journal of Chemical Physics. ,vol. 60, pp. 4508- 4511 ,(1974) , 10.1063/1.1680931
B. J. Suh, D. R. Torgeson, F. Borsa, Fluxon thermal motion detected by nuclear spin echo decay measurements:Y89NMR inYBa2Cu3O7 Physical Review Letters. ,vol. 71, pp. 3011- 3014 ,(1993) , 10.1103/PHYSREVLETT.71.3011
P. C. Hammel, M. Takigawa, R. H. Heffner, Z. Fisk, K. C. Ott, Spin dynamics at oxygen sites in YBa2Cu3O7. Physical Review Letters. ,vol. 63, pp. 1992- 1995 ,(1989) , 10.1103/PHYSREVLETT.63.1992