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Product operator theory is widely used for analytical description of multiple pulse nuclear magnetic resonance experiments for weakly coupled spin systems. Distortionless enhancement by polarization transfer and subspectral editing with a multiple quantum trap NMR experiments are used for spectral assignments of ^{13}C NMR spectra in CH_n groups. First, in this study we proposed and showed theoretically that distortionless enhancement by polarization transfer and subspectral editing with a multiple quantum trap experiments can also be used for subspectral editing of ^{13}C NMR spectra when ^{13}C nuclei coupled to spin-3/2 nuclei. The product operator technique is applied for the analytical description of ^{13}C distortionless enhancement by polarization transfer and subspectral editing with a multiple quantum trap NMR spectroscopy for ^{13}CX_n~({I_X=3/2} ; n=1, 2, 3) groups.
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