A Theorem Relating Cross-Relaxation and Hartmann-Hahn Transfer in Multiple-Pulse Sequences. Optimal Suppression of TOCSY Transfer in ROESY

By use of average-Hamiltonian theory and invariant-trajectory approaches, a theorem is derived that relates cross relaxation and Hartmann-Hahn transfer during multiple-pulse sequences. The result is used to obtain an expression for the theoretical minimum of coherence transfer that must be accepted in ROESY experiments. Jump-symmetrized CW-ROESY sequences are proposed that approach optimal suppression of TOCSY transfer combined with excellent offset behavior of the effective cross-relaxation rate. The results are demonstrated using numerical simulations and experimental spectra of a disaccharide.