We present the first complete LEED-IV analysis of an ordered water lay
er adsorbed on a metal surface, the structure of p(square-root 3 x squ
are-root 3)R30-degrees-2D2O/Ru(001), commonly assumed to be a bilayer.
The best fit geometry is a buckled hexagonal arrangement of water mol
ecules adsorbed on top of first-layer ruthenium atoms. The main, at fi
rst sight surprising feature of the surface geometry is that the water
''bilayer'' is almost flat: the vertical distance between the O atoms
of the two types of molecules in the p(square-root 3 x square-root 3)
R30-degrees unit mesh (DELTAz(O-O) is 0.10 +/- 0.02 angstrom. Buckling
of the first Ru layer is found in anticorrelation to the water molecu
les (0.01 +/- 0.04 angstrom and 0.07 +/- 0.02 angstrom with respect to
the uncovered Ru atoms), so that the Ru-O distances for the two types
of molecules are still significantly different from each other (2.08
+/- 0.02 angstrom and 2.23 +/- 0.02 angstrom). We conclude from this t
hat the construction principle of the bilayer (chemical bond between t
he Ru atoms and the O atoms of the closer molecules, and hydrogen bond
ing from the latter to the other molecules) is still correct. Dipole-m
irror dipole attraction and charge-transfer-induced changes of the D2O
bond angle are discussed as possible explanations for the compression
of the ideal bilayer structure, which cannot be explained by the infl
uence of the lattice mismatch between Ru(001) and ice. The vertical di
stance between the first- and second-layer Ru atoms ranges from 2.04 /- 0.04 angstrom to 2.11 +/- 0.03 angstrom due to the first-layer buck
ling, i.e. is always - and in part considerably - smaller than in the
bulk.