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\t\. There has been considerable recent interest in fractal Brownia
n motion in which case [Delta x(t)(2)] = 2D(nu)\t\((1-nu)), where -1 <
nu < 1 is the fractal exponent. The spin echo damping implications of
fractal diffusion are derived.