The theory required to interpret proton NMR with deuteron decoupling in liquid crystalline solvents is developed. The Bloom and Shoolery analysis of double resonance experiments, in which the spectra of a pair of nonidentical nuclei with isotropic coupling are interpreted in terms of quantization in an effective field in a rotating coordinate system, is extended to systems having anisotropic interactions such as direct dipolar and quadrupole couplings. Applications are made to model systems of onehyphen;protonhyphen;onehyphen;deuteron and twohyphen;protonshyphen;twohyphen;deuterons to facilitate interpretation of recent decoupling experiments, which are described in a companion paper, on partially deuterated cyclohexane in a nematic solvent.
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