Abstract
The product operator formalism is widely used for an analytical description of multi-dimensional and multiple-pulse NMR experiments for the weakly coupled spin systems having spin and spin-1. Note that 3D J-resolved NMR spectroscopy is also widely used in order to resolve the chemical shift along the one axis and spin-spin coupling parameters along the two different axes. Therefore, the purpose of this study is to present first the analytical description of heteronuclear 3D J-resolved NMR spectroscopy for both ISnKm (I = 1/2, S = 1/2, K = 1; n = 1, 2, m = 1, 2) and IS n K m (I = 1/2, S = 1, K = 1; n = 1, 2, m = 1, 2) spin systems by using the product operator theory.
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