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H<sub>2</sub> Dissociation on H Precovered Ni(111) Surfaces: Coverage Dependence, Lattice Motion, and Arrangement Effects
Hydrogen molecule
dissociation on metal surfaces is a prototype
reaction to study the gas–surface interaction. The dissociation
rate constants of H<sub>2</sub> on H atom precovered Ni(111) surfaces
are calculated using the quantum instanton method in full dimensionality.
Four different arrangements of the preadsorbed H and the dissociated
H<sub>2</sub>, in which the preadsorbed H is located at the nearest
(H<sub>2</sub>/H<sup>1</sup>–NiÂ(111)), second-nearest (H<sub>2</sub>/H<sup>2</sup>–NiÂ(111)), third-nearest (H<sub>2</sub>/H<sup>3</sup>–NiÂ(111)), and fourth-nearest (H<sub>2</sub>/H<sup>4</sup>–NiÂ(111)) neighbor sites of the bridge site
where the H<sub>2</sub> is dissociated, are considered. Compared to
the dissociation rates of H<sub>2</sub> on a clean Ni(111) surface
(H<sub>2</sub>/NiÂ(111)), the dissociation rates of H<sub>2</sub>/H<sup>1</sup>–NiÂ(111) are much smaller. For instance, the former
is 5.22 times larger than the latter at 300 K. This is because there
is a strong repulsive interaction between the preadsorbed H and H<sub>2</sub>, which hinders the dissociation of H<sub>2</sub>. The dissociation
rates of the four arrangements increase in the order of H<sub>2</sub>/H<sup>1</sup>–NiÂ(111), H<sub>2</sub>/H<sup>2</sup>–NiÂ(111),
H<sub>2</sub>/H<sup>3</sup>–NiÂ(111), and H<sub>2</sub>/H<sup>4</sup>–NiÂ(111). For example, the rate constants ratio of
H<sub>2</sub>/H<sup>2</sup>–NiÂ(111) to H<sub>2</sub>/H<sup>1</sup>–NiÂ(111) is 4.40 at 300 K. This situation further reveals
that the repulsive interaction decreases quickly with the increase
of the distance between the preadsorbed H and H<sub>2</sub>. For the
process of H<sub>2</sub>/H<sup>1</sup>–NiÂ(111), the dissociation
rates on the mobile lattice are larger than those on the rigid lattice.
For instance, the lattice motion enhances the dissociation rate by
29% at 300 K. The calculated kinetic isotope effects are larger than
1, and increase rapidly with decreasing temperature, which demonstrates
that the quantum tunneling effect is remarkable. All of the kinetic
isotope effects for H<sub>2</sub>/NiÂ(111), H<sub>2</sub>/H<sup>1</sup>–NiÂ(111), H<sub>2</sub>/H<sup>2</sup>–NiÂ(111), H<sub>2</sub>/H<sup>3</sup>–NiÂ(111), and H<sub>2</sub>/H<sup>4</sup>–NiÂ(111) are close to each other, which indicates that surface
coverage, lattice motion, and arrangement effects affect the kinetic
isotope effect a little