Derivation and Evaluation of the Fourth Moment of NMR Lineshape in Zero-Field

Abstract

An expression for the fourth moment in zero-field NMR has been analytically derived and numerically evaluated for a rigid cubic lattice. Model simulations have been performed to calculate the second moment, the fourth moment, the ratio of the fourth moment to the square of the second moment, and the width of the resonance line for a crystal and a polycrystalline material in high-field as well as in zero-field NMR. The simulation results allow us to draw two conclusions: (1) zero-field NMR gives sharper and better defined spectra than the high-field NMR and (2) the ratio of the high- to zero-field resonance line-widths is 4 for a crystal, whereas it is 11 for a polycrystalline material.

Department(s)

Physics, Astronomy, and Materials Science

Document Type

Article

DOI

https://doi.org/10.1016/j.ssnmr.2008.08.004

Keywords

nuclear magnetic resonance (NMR), zero-field NMR, theory of moments, fourth moment, second moment

Publication Date

2008

Journal Title

Solid state nuclear magnetic resonance

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