J. Wollschlager et M. Larsson, DIFFRACTION FROM 2-DIMENSIONAL VICINAL SURFACES WITH NONCOLLIDING MEANDERING STEPS, Physical review. B, Condensed matter, 57(23), 1998, pp. 14937-14949
We present a diffraction pattern analysis for vicinal surfaces with me
andering noncolliding steps, so that the fluctuations of adjacent step
s are not correlated. For these conditions, we evaluate the shape of t
he diffuse scattering (additional to sharp peaks due to the long-range
order of the steps), and show that the root-mean-square width, the ki
nk density, and the correlation of the individual meandering steps can
be obtained from the diffuse scattering for different scattering cond
itions due to the intrastep correlation. The surface morphology is gen
erated by Monte Carlo simulations performed at various temperatures un
til the kink density is equilibrated but the steps do not collide. Thi
s enables us to compare the direct statistical analysis of the surface
s with the diffraction analysis. We demonstrate that the agreement is
excellent. Furthermore, we discuss how these results can be applied to
the analysis of diffuse x-ray diffraction from multilayers with nonco
rrelated interfaces.