The surface roughening during ion sputtering and related broadening of
the distribution profiles of composition of originally sharp interfac
es of multilayer structures obtained by measurements of surface compos
ition during depth profiling by ion sputtering methods are considered,
The process of surface roughening is induced by the stochastic nature
of the atom ejection from the ion bombarding surface. It is shown tha
t the increase of surface roughness with sputtering time as t(1/2) lea
ds to the decrease of the height of amplitudes of the constituent comp
onents of surface concentrations in time approaching the steady state
Values, The steady state values of surface concentrations of constitue
nt components are obtained from the mass conservation law.