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Complete solution for two coupled spin-1/2 nuclei evolving under chemical shift and dipolar interaction

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Abstract

The spin dynamics for two coupled spin-1/2 nuclei evolving under isotropic chemical shifts and a dipole-dipole interaction, in the high-field limit, is presented using Fano's unit spherical tensors\(\hat U_Q^K (I_i ,I_j )\) as a basis set. For simplicity, relaxation effects are ignored. The results are used to discuss the frequently used dipole-dipole approximations for both homonuclear and heteronuclear spin systems. In particular, it is shown that it is possible to analyse NMR spectra of two spin-1/2 systems where the chemical shift differences and the dipolar interactions are of similar magnitude.

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Authors and Affiliations

  1. School of Physics, University of New South Wales, 2052, Sydney, NSW, Australia

    G. J. Bowden & M. J. Prandolini

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  1. G. J. Bowden
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  2. M. J. Prandolini
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Bowden, G.J., Prandolini, M.J. Complete solution for two coupled spin-1/2 nuclei evolving under chemical shift and dipolar interaction. J Math Chem 16, 1–7 (1994). https://doi.org/10.1007/BF01169190

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  • DOI: https://doi.org/10.1007/BF01169190

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