Are the prefactor anomalies in superionic conductors due to 1-D effects?

Abstract We have examined both the ionic conductivity and the NMR line narrowing in two channel-structured superionic conductors in the light of Richards' one-dimensional theory. For Li 2 Ti 3 O 7 the ionic conductivity is not sufficiently anisotropic to explain the observed small NMR prefactor in terms of i-D effects. For β-LiAlSiO 4 the NMR line narrowing in the crossover region does not yield the predicted large change in the activation energy given by the 1-D theory.