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On the class of attainable multidimensional NMR spectra

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Abstract

It is shown that a large class of two‐dimensional NMR spectra is characterized by a matrix algebra and an invariant subspace. Both the matrix algebra and the invariant subspace are determined by the system matrices of the bilinear system which describes the NMR experiments.

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References

  1. J. Cavanagh, W. Fairbrother, A. Palmer and N. Skelton, Protein NMR Spectroscopy: Principles and Practice(Academic Press, 1996).

  2. R. Ernst, G. Bodenhausen and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions(Oxford University Press, 1987).

  3. I. Herstein, Topics in Algebra(Wiley, 1975).

  4. R.J. Ober and E.S. Ward, A system theoretic formulation of NMR experiments, J. Math. Chem. 20 (1996) 47–65.

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Authors and Affiliations

  1. Center for Engineering Mathematics EC35, University of Texas at Dallas, Richardson, TX, 75083, USA

    Raimund J. Ober

  2. Cancer Immunobiology Center and Department of Microbiology, University of Texas Southwestern Medical Center, 5323 Harry Hines Boulevard, Dallas, TX, 75235‐8576, USA

    E. Sally Ward

Authors
  1. Raimund J. Ober
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  2. E. Sally Ward
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Ober, R.J., Ward, E.S. On the class of attainable multidimensional NMR spectra. Journal of Mathematical Chemistry 22, 1–10 (1997). https://doi.org/10.1023/A:1019167729379

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  • DOI: https://doi.org/10.1023/A:1019167729379

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