This paper emphasizes the fact that valuable information on the dynamics of
high-T-c superconductors is concealed in that part of the spin-lattice rel
axation which arises from quadrupolar interactions. We briefly discuss the
problem how to disentangle magnetic and quadrupolar time dependent interact
ions if both are present, thus leading to multiexponential magnetization re
covery laws. We then discuss two examples from our studies of the high-T-c
superconductor YBa2Cu4O8 where the identification of a quadrupolar contribu
tion to the spin-lattice relaxation has been essential to draw the relevant
conclusions. One example is concerned with the charge fluctuations associa
ted with an electronic crossover showing up in the oxygen relaxation. The s
econd example is dealing with the separation of charge and spin excitations
and the validity of the single-spin fluid model.