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首页> 外文期刊>Journal of magnetic resonance >Restricted diffusion in grossly inhomogeneous fields
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Restricted diffusion in grossly inhomogeneous fields

机译:在非均匀场中的扩散受到限制

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摘要

We analyze the effects of geometrical restriction on the nuclear magnetization of spins diffusing in grossly inhomogeneous fields where radio-frequency (RF) pulses are weak relative to the total field inhomogeneity, making the rotation angle space-dependent and thus exciting multiple coherence pathways. We show how to separate the effects of restricted diffusion from the effects of the pulses in the case when the change in the field experienced by a diffusing spin in the course of the experiment is small compared to the RF magnitude. We then derive explicit formulas for the contribution of individual coherence pathways to the total magnetization in arbitrary pulse sequences. We find that, for long diffusion times, restriction can dramatically alter the spectrum and the shape of a particular echo, while for short times, the correction will be proportional to the pore space surface-to-volume ratio. We demonstrate these results on the example of the early echoes of the Carr-Purcell-Meiboom-Gill (CPMG) pulse sequence.
机译:我们分析了几何约束对自旋核磁化的影响,这些自旋在射频(RF)脉冲相对于总磁场不均匀性较弱的完全不均匀磁场中扩散,从而使旋转角度与空间有关,从而激发了多个相干路径。我们展示了在实验过程中扩散自旋所经历的场变化与RF幅度相比较小的情况下,如何将受限扩散的影响与脉冲的影响分开。然后,我们得出明确的公式,以计算任意脉冲序列中单个相干路径对总磁化强度的贡献。我们发现,对于长的扩散时间,限制会极大地改变特定回波的光谱和形状,而对于短时间,校正将与孔隙空间的表面体积比成正比。我们在Carr-Purcell-Meiboom-Gill(CPMG)脉冲序列的早期回波示例中证明了这些结果。

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