The asymmetric or symmetric nature of the dimer adatom arrangement on
reconstructed Si and Ge(001) surfaces is still controversial. There ha
s not been a direct quantitative determination of the asymmetry. Using
x-ray standing waves we have directly measured the asymmetry of Ge di
mers on the Si(001) surface as 0.55+/-0.02 angstrom. Our results unequ
ivocally rule out the possibility of symmetric dimers. At elevated tem
peratures the dimer asymmetry decreases, raising the possibility of a
high temperature asymmetric to symmetric phase transition on the (001)
surfaces.