On the use of NMR pulsed field-gradient spectroscopy for the study of anomalous diffusion in fractal networks

Abstract Theoretical questions of NMR spin echo attenuation due to diffusion in fractal systems are examined. The mean-square displacement of anomalous diffusion depends sublinearly on time. Therefore, this stochastic process is not invariant against time translation. The correct adjustment of the time scale is a crucial prerequisite for the proper reflection of molecular migration by means of spin-echo experiments.