We have studied a GaAs/AlAs periodic quantum dot array using reciproca
l space mapping around the (004) and <((11)over bar 3)> reciprocal lat
tice points. Both the coherently and the diffusely scattered X-ray int
ensities were analyzed by performing two-dimensional model calculation
s. From the distribution of the diffracted intensities we deduced the
average strain status in the dots. From the numerical simulations it i
s evident that random elastic strain fields are present, which extend
through almost the entire volume of the quantum dot. The simulations o
f the X-ray measurements revealed that the crystalline part of the dot
s is considerably smaller as scanning electron micrographs would indic
ate.