Product operator theory for spin-3/2 nuclei and application to 2D J-resolved NMR spectroscopy

The detailed description of the product operator formalism for a weakly coupled IS (I=1/2, S=3/2) spin system has been presented and the shorthand notations for the evolutions of Ix, Iy, IxSz and IySz product operators under the spin–spin coupling Hamiltonian have been obtained in a different form. Furthermore, as an application and a verification, the product operator formalism has been used for the analytical description of a 2D J-resolved nuclear magnetic resonance (NMR) experiment for IS (I=1/2, S=3/2) spin systems.