A new method for determining the structure of open surfaces is describ
ed and applied to the (1 x 2)-Rh(110) surface. Measurements of helium
diffraction and specular reflectivity are analysed by close-coupling c
alculations, using a model potential given by the superposition of pse
udo-pairwise terms. The measurements show that the (1 x 2)-Rh(110) sur
face has a missing row structure with a relaxation of the first interl
ayer spacing of 21%. The electronic charge of the topmost atoms as see
n by He is about 7% lower for the (1 x 2) structure than for the unrec
onstructed one.