Abstract
Nuclear magnetic resonance and electrical conductivity measurements are conducted to study the dynamics of the ionic diffusion process in the crystalline ionic conductor ${\mathrm{Li}}_{0.5}{\mathrm{La}}_{0.5}{\mathrm{TiO}}_{3}.$ dc conductivity shows a non-Arrhenius temperature dependence, similar to the one recently reported for some ionic conducting glasses. Spin-lattice and conductivity relaxations are analyzed in the same frequency and temperature range in terms of the non-Arrhenius dependence of the correlation time. Both relaxations are then described using a single correlation function of the form $f(t)=\mathrm{exp}(\ensuremath{-}(t/\ensuremath{\tau}{)}^{\ensuremath{\beta}}),$ with \ensuremath{\beta}=0.4 over the whole temperature range.
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