Dynamic processes in solids exhibiting structurally incommensurate phases a
re briefly reviewed, and the application of NMR and NQR is discussed. The u
nique utility of these methods, - arising due to, on one hand, the microsco
pic resonant nature of the probe used and, on the other, the presence of pe
riodic, though incommensurable, structure -, is brought out by presenting r
ecent results in a prototype system (Rb2ZnCl4) in the presence of randomly
quenched disorder. In particular, the interesting new methodology of measur
ing, by analysing NQR spin echo modulation, ultra-slow diffusion like colle
ctive motions of ensembles of atoms in the presence of pinning effects due
to disorder is illustrated with new results.