A. Gross et M. Scheffler, AB-INITIO QUANTUM AND MOLECULAR-DYNAMICS OF THE DISSOCIATIVE ADSORPTION OF HYDROGEN ON PD(100), Physical review. B, Condensed matter, 57(4), 1998, pp. 2493-2506
The dissociative adsorption of hydrogen on Pd(100) has been studied by
ab initio quantum dynamics and ab initio molecular-dynamics calculati
ons. Treating all hydrogen degrees of freedom as dynamical coordinates
implies a high dimensionality and requires statistical averages over
thousands of trajectories. An efficient and accurate treatment of such
extensive statistics is achieved in a three-step approach: In a first
step we evaluate the ab initio potential-energy surface (PES) fore nu
mber of appropriate points in configuration space. Then (as step 2) we
determine an analytical representation that serves as an interpolatio
n between the actually calculated points. In an independent third step
dynamical calculations are performed on the analytical representation
of the PES. Thus the dissociation dynamics is investigated without an
y crucial assumption except for the Born-Oppenheimer approximation whi
ch is anyhow employed when density-functional-theory calculations are
performed. The ab initio molecular dynamics is compared to detailed qu
antum-dynamical calculations on exactly the same ab initio PES. The oc
curence of quantum oscillations in the sticking probability as a funct
ion of kinetic energy is addressed. They turn out to be very sensitive
to the symmetry of the initial conditions. At low kinetic energies st
icking is dominated by the steering effect, which is illustrated using
classical trajectories. The steering effect depends on the kinetic en
ergy, but not on the mass of the molecules, as long as no energy trans
fer to the substrate atoms is considered. The comparison between quant
um and classical calculations of the sticking probability shows the im
portance of zero-point effects in the hydrogen dynamics. The dependenc
e of the sticking probability on the angle of incidence is analyzed; i
t is found to be in good agreement with experimental data. The results
show that the determination of the potential-energy surface combined
with high-dimensional dynamical calculations, in which all relevant de
grees of freedom are taken into account, leads to a detailed understan
ding of the dissociation dynamics of hydro en at a transition metal su
rface.