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A system theoretic formulation of NMR experiments

A system theoretic formulation of NMR experiments
A system theoretic formulation of NMR experiments

A detailed system theoretic description is given of NMR experiments including relaxation effects. The approach is based on an exact and analytical solution to the master equation. It is shown that NMR experiments can be described in the framework of bilinear time-invariant systems. This description is used to derive closed-form expressions for the spectrum of one- and two-dimensional experiments. The simulations show that the approach accounts for the frequency dependence of a pulse, distinguishes between soft and hard pulses and also explains artifacts such as axial peaks.

0259-9791
47-65
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Ward, E. Sally
b31c0877-8abe-485f-b800-244a9d3cd6cc
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Ward, E. Sally
b31c0877-8abe-485f-b800-244a9d3cd6cc

Ober, Raimund J. and Ward, E. Sally (1996) A system theoretic formulation of NMR experiments. Journal of Mathematical Chemistry, 20 (1), 47-65. (doi:10.1007/BF01165155).

Record type: Article

Abstract

A detailed system theoretic description is given of NMR experiments including relaxation effects. The approach is based on an exact and analytical solution to the master equation. It is shown that NMR experiments can be described in the framework of bilinear time-invariant systems. This description is used to derive closed-form expressions for the spectrum of one- and two-dimensional experiments. The simulations show that the approach accounts for the frequency dependence of a pulse, distinguishes between soft and hard pulses and also explains artifacts such as axial peaks.

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Published date: March 1996

Identifiers

Local EPrints ID: 425008
URI: http://eprints.soton.ac.uk/id/eprint/425008
DOI: doi:10.1007/BF01165155
ISSN: 0259-9791
PURE UUID: fa39883c-ceaf-4cb5-b6af-25e71fb77042
ORCID for Raimund J. Ober: ORCID iD orcid.org/0000-0002-1290-7430
ORCID for E. Sally Ward: ORCID iD orcid.org/0000-0003-3232-7238

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Date deposited: 09 Oct 2018 16:30
Last modified: 06 Jun 2024 02:04

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Contributors

Author: Raimund J. Ober ORCID iD
Author: E. Sally Ward ORCID iD

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