We report on the first direct measurement of the change of the surface
stress in the reconstruction of the Au(111) and the Au(100) surfaces.
For both surfaces the reconstruction relaxes the intrinsic tensile st
ress, by 22% and 5%, respectively. A discussion of the data on the Au(
111) surface in the Frenkel-Kontorova model shows that the energy gain
due to the surface stress is not quite large enough to make the recon
structed phase energetically favored without the formation of the seco
ndary herringbone structure of the solitons. On the Au(100) surface, t
he gain in elastic strain energy is clearly insufficient to cause the
surface to reconstruct.