Abstract
A theoretical analysis of the quadrupole echo and Carr-Purcell echo experiments for pairs of I = 1 quadrupole nuclei undergoing mutual exchange is given. Exact numerical calculations of the echo intensities as a function of the time interval between the pulses and the kinetic and magnetic parameters are presented. The results are compared with deuterium NMR measurements performed on two systems involving cyclohexane-d 12 under conditions at which the molecules undergo ring inversion. These include a liquid crystalline solution of C 6D 12 aligned in a magnetic field and a powder sample of the thiourea-C 6 D 12 inclusion compound. Three experimental methods were applied to study these systems: (i) complete analysis of the ID spectrum lineshape, (ii) quadrupole echo intensity measurements as a function of the time interval between pulses, and (iii) Carr-Purcell echo relaxation measurements as a function of the pulse repetition rates. Within the experimental accuracy all three methods gave identical results. It is argued that under certain conditions pulse experiments may be advantageous or even necessary for a complete quantitative analysis of dynamic effects in deuterium NMR of solids.
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