CURIOUS CONSEQUENCES OF STRONG-COUPLING IN NMR EXPERIMENTS INVOLVING SELECTIVE PULSES

This study is concerned with the effects of applying selective pulses to systems with strong second-order scalar couplings in isotropic phas e, where different transitions (rs) are associated with different tran sition matrix elements F-(rs)(+). Two unusual features can be distingu ished:the nutation angle (''flip angle'') depends on the matrix elemen t of the irradiated transition (rs), and, in contrast to the behavior of an isolated spin-1/2, system, the norm of the three single-transiti on operators [I-x((rs)), I-y((rs)), I-z((rs))] associated with the fic titious spin-1/2 space of the irradiated transition (rs) is generally not conserved. It is necessary to consider the single-transition opera tors [I-x((rp)), I-y(rp), I-z(rp)] and [I-x((sq)), I-y((sq)), I-z((sq) )] associated with all connected transitions (rp) and (sq) that share a common energy level r or s with the irradiated transition (rs), If t he pulse applied to the (rs) transition is sufficiently selective, the transverse components I-x((rp)), I-y((rp)), I-x((sq)), and I-y((sq)) can be neglected, since their expectation values remain equal to zero after application of a selective pulse to the (rs) transition, but the longitudinal components I-z((rp)) and I-z((sq)) acquire nonvanishing expectation values. When the selective pulse affects several transitio ns simultaneously, the response varies from one transition to another, depending on the matrix elements and the connectivities, These effect s manifest themselves in unusual amplitudes and phases of signals exci ted by selective pulses, in particular in selective two-dimensional co rrelation spectra. (C) 1996 Academic Press, Inc.