Comments on the application of group theory to the analysis of high-resolution N.M.R. spectra

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Abstract
The symmetry group applicable to N.M.R. problems consists of all the nuclear permutations which do not permute the N.M.R. parameters; in general, this group may be larger or smaller than the molecular symmetry group defined by Longuet-Higgins. The application of these N.M.R. symmetry groups to spin systems involving magnetic equivalence is described (i) for a single magnetically equivalent set, and (ii) for the X3AA′X3′ system. Although the group-theoretical method achieves the same degree of factorization of the spin Hamiltonian as the composite particle technique described by earlier workers, it offers no advantages in the detailed calculation of the N.M.R. spectrum, and is much more time-consuming.

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