R. Paniago et al., FE AU MULTILAYER GROWTH FRONTS - COMPARISON OF X-RAY DIFFUSE-SCATTERING RESULTS WITH ATOMIC-FORCE MICROSCOPY PROFILES/, Physica. B, Condensed matter, 248, 1998, pp. 39-47
The interfacial roughness morphology of sputtered Fe/Au multilayers wa
s derived by combining the results from X-ray specular and non-specula
r (diffuse) scattering. From the non-specular intensity collected by a
two-dimensional image plate we determined the in-plane height-height
correlation function [H-i(R)H-i(O)] and the growth correlation length
as a function of feature size. From these parameters we determined bot
h the static and dynamic roughness exponents alpha: and z, which agree
with the Kardar-Parisi-Zhang (KPZ) model of surface growth. The heigh
t difference function derived from the diffuse scattering is compared
with several model functions that incorporate the asymptotic behavior
of [H(R)(2)] for the cases of R --> O and R --> co. We show that only
one particular function is appropriate. The evolution of the interfaci
al slope is determined from the roughness exponents, and it is shown t
hat it decreases as a function of time. This asymptotic smoothing is a
nalyzed using the noiseless and stochastic KPZ equations. The noiseles
s KPZ equation predicts that the growth front is composed of paraboloi
ds, which increase in lateral size and coalesce. This result is suppor
ted by an Atomic-force Microscopy measurement of the surface of one of
the Fe/Au Multilayers. (C) 1998 Elsevier Science B.V. All rights rese
rved.