  The effect of surface atom vibrations for H$_2$ scattering from a Cu(111)
surface at different temperatures is being investigated for hydrogen molecules
in their rovibrational ground state ($v$=0, $j$=0). We assume weakly correlated
interactions between molecular degrees of freedom and surface modes through a
Hartree product type wavefunction. While constructing the six dimensional
effective Hamiltonian, we employ: (a) a chemically accurate potential energy
surface according to the Static Corrugation Model [Wijzenbroek and Somers, J.
Chem. Phys. 137, 054703 (2012)]; (b) normal mode frequencies and displacement
vectors calculated with different surface atom interaction potentials within a
cluster approximation; (c) initial state distributions for the vibrational
modes according to Bose-Einstein probability factors. We carry out 6D quantum
dynamics with the so-constructed effective Hamiltonian, and analyze sticking
and state-to-state scattering probabilities. The surface atom vibrations affect
the chemisorption dynamics. The results show physically meaningful trends both
for reaction as well as scattering probabilities compared to experimental and
other theoretical results.
