Often the paramagnetic
defects have important impact on the nuclear
relaxation even in the “nominally” pure samples. These
effects show themselves either by the nearest-neighbors only or by
the dipolar long-range interaction. The former are addressed in this
paper in which we built a model for calculation of T
1, T
1Q, T
2, T
1ρ when there isor
nota residual quadrupolar interaction. This model shows that
the maxima of R
2 = 1/T
2 and R
1ρ = 1/T
1ρ are shifted toward the low frequencies
(low temperatures with regards to the one of R
1 = 1/T
1), the maximum of R
1ρ is shifted toward the low frequencies
with regards to the one of R
2, and this
model is general and can be applied to any system which relaxes by
transferred hyperfine interaction. This model was applied to Li1.3Al0.3Ti1.7(PO4)3. It accounts for all the experimental results of T
1 (6Li), T
1 (7Li), T
1Q (7Li), T
2 (7Li), and T
1ρ (7Li) which were used to highlight local
dynamic properties of the lithium versus temperature. The analysis
of these results allows us to conclude that inside the natrium superionic
conductor (NASICON) framework the lithium undergoes an anisotropic
motion, evidenced both with the residual quadrupolar interaction and
the measures of the relaxation times, and the relaxation of the lithium
is mainly due to the hyperfine transferred fluctuations. Thus, the
motion drives the lithium ions in the neighborhood of the oxygens,
and these dynamical results allow confirming structural aspects concerning
the conducting pathways.