Multiple-quantum magic-angle spinning NMR spectra in the static limit: The I = 3/2 case

A simplified theoretical description of multiple-quantum excitation and mixing for nuclear magnetic resonance of half-integer quadrupolar nuclei is presented. The approach recasts the multiple-quantum nutation behavior in terms of reduced excitation and mixing curves through a scaling of the first-o...

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Bibliographic Details
Published in:The Journal of chemical physics 2024-12, Vol.161 (24)
Main Authors: McCarthy-Carney, Lexi, Wilson, Brendan, Srivastava, Deepansh, Baltisberger, Jay H., Grandinetti, Philip J.
Format: Article
Language:English
Subjects:
Affine transformations
Algorithms
Coupling
Euler angles
Excitation spectra
Field strength
Least squares
Line shape
NMR
Nuclear magnetic resonance
Nutation
Parameter sensitivity
Pulse duration
Radio frequency
Spectral sensitivity
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Summary:A simplified theoretical description of multiple-quantum excitation and mixing for nuclear magnetic resonance of half-integer quadrupolar nuclei is presented. The approach recasts the multiple-quantum nutation behavior in terms of reduced excitation and mixing curves through a scaling of the first-order offset frequency by the quadrupolar coupling constant. The two-dimensional correlation of the static first-order anisotropic line shape to the second-order anisotropic magic-angle-spinning (MAS) line shape is utilized to transform the three-dimensional integral over the three Euler angles into a single integral over the dimensionless first-order offset parameter. These transformations lead to a highly efficient algorithm for simulating the multiple-quantum (MQ)-MAS spectrum for arbitrary excitation and mixing radio frequency (RF) field strengths, pulse durations, and MAS rates within the static limit approximation, which is defined in terms of the rotation period, pulse duration, RF field strength, and quadrupolar coupling parameters. This algorithm enables a more accurate determination of the relative site populations and quadrupolar coupling parameters in a least-squares analysis of MQ-MAS spectra. Furthermore, this article examines practical considerations for eliminating experimental artifacts and employing affine transformations to improve least-squares analyses of MQ-MAS spectra. The optimum ratio of RF field strength to the quadrupolar coupling constant and the corresponding pulse durations that maximize sensitivity within experimental constraints are also examined.
ISSN:0021-9606
1089-7690
1089-7690
DOI:10.1063/5.0240970