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Agreement between theory and practice: Solid-state NMR studies on organic compounds with CH2Cl, CHCl2, and CCl3 groups show that residual dipolar coupling between 35Cl/37Cl and 13C nuclei influences the splitting of the signals depending on the magnetic field strength B. When molecular motions are slow enough to prevent self-decoupling, signals for C nuclei affected by a single Cl nucleus appear as symmetric doublets at B0 >5 T and as asymmetric triplets at lower fields.