Predictions for pulsed-field-gradient NMR experiments of diffusion in fractal spaces

In this paper, theoretical predictions are made for pulsed-field-gradient NMR experiments of diffusion in fractal spaces. We obtain the general q-space behaviour of the NMR signal, which upon Fourier transformation, delivers the probability density for displacements. We also show that there exists a power law behaviour in the limits of large q or small displacements.