We believe that, in addition to nontrivial theoretical interest, the proposed work offers experimenters a reliable time interval in which the experimentally measured signal allows for a relatively simple interpretation uncomplicated by contributions from three-particle dynamical correlations of having spin nuclei in condensed matter.

We present a tutorial on the cross-polarization experiment, which has been the main method of magnetization transfer in solid-state NMR for decades. We explain the principles of its volume-selective performance in the presence of magic angle spinning and radiofrequency field inhomogeneity and the decrease in efficiency with increasing sample rotation frequency.

The radio-frequency (rf) field amplitude in solid-state NMR probes changes over the sample volume, i.e. different parts of the sample will experience different nutation frequencies. If the sample is rotated inside the coil as it is typical for magic angle spinning in solid-state NMR, such a position-dependent inhomogeneity leads to an additional time dependence of the rf field amplitude. We show that such time-dependent modulations do not play an important role in many experiments.

Sample rotation around the magic angle averages out the dipolar couplings in homonuclear spin systems in a first-order approximation. However, in higher orders, residual coupling terms remain and lead to a broadening of the spectral lines. We investigate the source of this broadening and the effects on the powder line shape in small spin systems with and without chemical shifts. We show that one can expect different scaling behavior as a function of the spinning frequency for the two cases.

The RFDR sequence has been widely used for homonuclear recoupling. The paper describes a heteronuclear version of RFDR. HET-RFDR sequence transfers longitudinal polarization between heteronuclear pairs by applying RFDR on two channels simultaneously. We perform an operator analysis of HET-RFDR and RFDR. Such an analysis allows for better understanding of the influence of offsets and paths of magnetization transfers for both these experiments, as well as the crucial role of XY phase cycling.