Fractal Brownian motion and nuclear spin echoes

It is well known that spin echo experiments can measure the diffusion coefficient D of classical Brownian motion for which ( Delta x(t) 2 )=2D mod t mod . There has been considerable recent interest in fractal Brownian motion in which case ( Delta x(t) 2 )=2D nu mod t mod (1- nu ), where -1< nu <1 is the fractal exponent. The spin echo damping implications of fractal diffusion are derived.