Derivation and evaluation of the fourth moment of NMR lineshape in zero-field

Cutsuridis, Vassilis and Kahol, Pawan K. (2008) Derivation and evaluation of the fourth moment of NMR lineshape in zero-field. Solid State Nuclear Magnetic Resonance, 34 (3). pp. 191-195. ISSN 0926-2040

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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.

Keywords:Nuclear magnetic resonance (NMR), Zero-field NMR, Theory of moments, Fourth moment, Second moment
Subjects:F Physical Sciences > F340 Mathematical & Theoretical Physics
F Physical Sciences > F343 Computational Physics
F Physical Sciences > F321 Solid state Physics
Divisions:College of Science > School of Computer Science
ID Code:27636
Deposited On:21 Jun 2017 14:33

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