We discuss the application of grazing incidence x-ray techniques to charact
erize nanometer sized islands, which arise in strained layer heteroepitaxy
of semiconductor systems ('quantum dots'). Using x-rays from synchrotron so
urces, grazing incidence small angle scattering (GISAXS) is demonstrated to
yield structural information on shape, size and lateral correlation. Resul
ts on self-assembled Ge islands on Si(lll) substrate are shown as an exampl
e. The crystalline properties of coherent quantum dots are obtained from gr
azing incidence diffraction (GID). From the analysis of reciprocal space ma
ps the interdependence of shape and elastic strain within the quantum dots
is determined. We discuss results on coherent InAs quantum structures on Ga
As(100).