Subspectral Editing with a Multiple Quantum Trap of IS$\text{}_{n}$ Spin Systems by Using Product Operator Theory

Product operator theory was often used to describe analytically multipulse NMR experiments for weakly coupled spin systems. In this study first we introduce the descriptions of subspectral editing with a multiple quantum trap NMR spectra for IS$\text{}_{n}$ I=1 /2, S=5/2 with n=1, 2, 3) spin systems by using product operator formalism. These theoretical investigations lead us to form the general expressions for the intensities of the spin -1/2 nuclei coupled to the nuclei with spin ≥5/2. The obtained results can be used for the spectral editing in both liquid-state and solid-state NMR experiments. Furthermore, in order to satisfy the obtained analytical expressions for signal intensities we add the presentation of analytically description of subspectral editing with a multiple quantum trap sequence for weakly coupled IS (I=1/2, S=7/2) spin system.