DESCRIPTION OF PULSE SEQUENCES CONTAINING SINGLE PULSES AND BINOMIAL SEQUENCES BY MEANS OF ROTATION OPERATORS

A general formalism is developed to describe the excitation behavior of pulse sequences in NMR experiments. In order to describe pulse sequences with constant or alternating pulse phases, spin echo, and phase-cycled sequences, pulse-sequence matrices are constructed by application of rotation matrices about the three coordinate axes in space. After generality is reduced to symmetric and antisymmetric sequences, conclusions are drawn about the general form of sequence matrices for sequences phase cycled by Exorcycle. The formalism is then employed for binomial sequences and spectral-editing sequences containing binomial sequences, and the analytical expressions obtained are used to simulate the excitation behavior of these sequences. © 1993 Academic Press. All rights reserved.