Commissariat A L' Energie Atomique, Neurospin/I2BM, Laboratoire de Resonance Magnetique Nucleaire, CEA-Saclay, Bât 145, Point Courrier 156F-91191 Gif-sur-Yvette cedex, France.
Solid State Nucl Magn Reson. 2012 Feb;41:32-47. doi: 10.1016/j.ssnmr.2011.11.004. Epub 2011 Dec 1.
This article describes the use of an alternative expansion scheme called Floquet-Magnus expansion (FME) to study the dynamics of spin system in solid-state NMR. The main tool used to describe the effect of time-dependent interactions in NMR is the average Hamiltonian theory (AHT). However, some NMR experiments, such as sample rotation and pulse crafting, seem to be more conveniently described using the Floquet theory (FT). Here, we present the first report highlighting the basics of the Floquet-Magnus expansion (FME) scheme and hint at its application on recoupling sequences that excite more efficiently double-quantum coherences, namely BABA and C7 radiofrequency pulse sequences. The use of Λ(n)(t) functions available only in the FME scheme, allows the comparison of the efficiency of BABA and C7 sequences.
本文介绍了一种名为 Floquet-Magnus 展开(FME)的替代扩展方案,用于研究固态 NMR 中自旋系统的动力学。描述 NMR 中时变相互作用影响的主要工具是平均哈密顿理论(AHT)。然而,一些 NMR 实验,如样品旋转和脉冲设计,似乎使用 Floquet 理论(FT)更方便描述。在这里,我们首次报告了强调 Floquet-Magnus 展开(FME)方案基本原理的报告,并暗示了其在激发更有效地双量子相干的偶极再聚焦序列(例如 BABA 和 C7 射频脉冲序列)上的应用。仅在 FME 方案中可用的 Λ(n)(t) 函数的使用,允许比较 BABA 和 C7 序列的效率。