Probing the validity of average Hamiltonian theory for spin I=1, 3/2 and 5/2 nuclei by analyzing a simple two-pulse sequence

Journal of Magnetic Resonance
E S ManangaGregory S Boutis

Abstract

In this work, we investigate the accuracy of controlling spin I=1, 3/2 and 5/2 spin systems by average Hamiltonian theory. By way of example, we consider a simple two-pulse echo sequence and compare this perturbation scheme to a numerical solution of the Von Neumann equation. For the different values of I, we examine this precision as a function of the quadrupolar coupling as well as various experimental parameters such as the pulse spacing and pulse width. Experiments and simulations on I=3/2 and I=5/2 spin systems are presented that highlight a spectral artifact introduced due to finite pulse widths as predicted by average Hamiltonian theory. The control of these spin systems by this perturbation scheme is considered by investigating a phase cycling scheme that suppresses these artifacts to zeroth-order of the Magnus expansion.

References

Jul 1, 1992·Solid State Nuclear Magnetic Resonance·P P Man
Aug 6, 2000·Solid State Nuclear Magnetic Resonance·L PandeyD G Hughes
Jun 20, 2006·Journal of Magnetic Resonance·E S ManangaG S Boutis

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