We report the first experimental observation of nonclassical morphological
equilibration of a corrugated crystalline surface. Periodic rippled structu
res with wavelengths of 290-550 nm were made on Si(001) by sputter rippling
and then annealed at 650-750 degrees C. Tn contrast to the classical expon
ential decay with time, the ripple amplitude A(lambda)(t) followed an inver
se linear decay, Al(t) = A(lambda)(0)/(1 + k(lambda)t), agreeing with a pre
diction of Ozdemir and Zangwill. We measure the activation energy for surfa
ce relaxation to be 1.6 +/- 0.2 eV, consistent with the fundamental energie
s of creation and migration on Si(001).