Abstract:The influence of rotational state on the dissociation probability of H2 on Cu(111) has been investigated with 3- and 4-dimensional close-coupling wave packet calculations. Recent experimental results have shown that the energetic threshold for dissociative adsorption increases and then decreases as the J state is continuously increased. This trend can be faithfully reproduced by modeling the H2 as a planar (cartwheel) rotor scattering from a flat surface. The agreement disappears when the model is extended to … Show more
“…34, see Table I thereof͒ similarly find low excitation probabilities, while calculations 21,24 employing a model potential energy surface for H 2 ϩCu͑111͒ find vibrational excitation probabilities of the same order as the experiments for this system. Recent theoretical work 40 cautions that calculations of higher dimensionality are required for obtaining accurate values for dissociation thresholds and vibrational excitation thresholds simultaneously. Nevertheless, an interesting question that emerges is whether vibrationally inelastic scattering is much more efficient on the ͑111͒ face than on the ͑100͒ face.…”
Section: B Discussionmentioning
confidence: 99%
“…Much work has been done to understand the mechanism of the dissociation and to investigate the effects of molecular vibration 33,36 and rotation. 28,39,40 A recent careful investigation 41 of available experimental results has put the threshold to dissociation for H 2 in its ground vibrational state at approximately 0.5 eV. The barrier height accessible through electronic structure calculations should then be of roughly the same size.…”
A two-dimensional ͑2-D͒ potential energy surface ͑PES͒ has been calculated for H 2 interacting with the ͑100͒ face of copper. The PES is for H 2 approaching with its internuclear axis parallel to the surface and dissociating over a bridge site into neighboring hollow sites. The density functional calculations were performed both within the local density approximation ͑LDA͒ and within a generalized gradient approximation ͑GGA͒. The LDA surface shows no barrier to chemisorption, but the GGA surface has a barrier of height 0.4 eV. A fit of the GGA surface has been used to calculate reaction probabilities for H 2 in its vϭ0 and vϭ1 vibrational states, employing a wave packet method. The 2-D wave packet results for the vϭ0 and vϭ1 thresholds are consistent with experiment, indicating that the barrier height calculated within the GGA used is accurate. The GGA results for the value of the barrier height are also consistent with the GGA value ͑0.
“…34, see Table I thereof͒ similarly find low excitation probabilities, while calculations 21,24 employing a model potential energy surface for H 2 ϩCu͑111͒ find vibrational excitation probabilities of the same order as the experiments for this system. Recent theoretical work 40 cautions that calculations of higher dimensionality are required for obtaining accurate values for dissociation thresholds and vibrational excitation thresholds simultaneously. Nevertheless, an interesting question that emerges is whether vibrationally inelastic scattering is much more efficient on the ͑111͒ face than on the ͑100͒ face.…”
Section: B Discussionmentioning
confidence: 99%
“…Much work has been done to understand the mechanism of the dissociation and to investigate the effects of molecular vibration 33,36 and rotation. 28,39,40 A recent careful investigation 41 of available experimental results has put the threshold to dissociation for H 2 in its ground vibrational state at approximately 0.5 eV. The barrier height accessible through electronic structure calculations should then be of roughly the same size.…”
A two-dimensional ͑2-D͒ potential energy surface ͑PES͒ has been calculated for H 2 interacting with the ͑100͒ face of copper. The PES is for H 2 approaching with its internuclear axis parallel to the surface and dissociating over a bridge site into neighboring hollow sites. The density functional calculations were performed both within the local density approximation ͑LDA͒ and within a generalized gradient approximation ͑GGA͒. The LDA surface shows no barrier to chemisorption, but the GGA surface has a barrier of height 0.4 eV. A fit of the GGA surface has been used to calculate reaction probabilities for H 2 in its vϭ0 and vϭ1 vibrational states, employing a wave packet method. The 2-D wave packet results for the vϭ0 and vϭ1 thresholds are consistent with experiment, indicating that the barrier height calculated within the GGA used is accurate. The GGA results for the value of the barrier height are also consistent with the GGA value ͑0.
“…For many H 2 ϩmetal surface systems, the reaction probability depends on the initial angular momentum of the incident molecule, which will broaden the reaction probability curve in an molecular beam experiment relative to the computational results for jϭ0. 41,43,50,63-65 Presently, we have results for too few FIG. 8.…”
Section: E Comparison With Experiment: Reactionmentioning
We present results of calculations on dissociative and rotationally ͑in͒elastic diffractive scattering of H 2 from Pt͑111͒, treating all six molecular degrees of freedom quantum mechanically. The six-dimensional ͑6D͒ potential energy surface was taken from density functional theory calculations using the generalized gradient approximation and a slab representation of the metal surface. The 6D calculations show that out-of-plane diffraction is very efficient, at the cost of in-plane diffraction, as was the case in previous four-dimensional ͑4D͒ calculations. This could explain why so little in-plane diffraction was found in scattering experiments, suggesting the surface to be flat, whereas experiments on reaction suggested a corrugated surface. Results of calculations for off-normal incidence of (vϭ0,jϭ0) H 2 show that initial parallel momentum inhibits dissociation at low normal translational energies, in agreement with experiment, but has little effect for higher energies. Reaction of initial (vϭ1,jϭ0) H 2 is predicted to be vibrationally enhanced with respect to (v ϭ0,jϭ0) H 2 , as was also found in three-dimensional ͑3D͒ and 4D calculations, even though H 2 ϩPt(111) is an early barrier system.
“…[17][18][19][20][21][22][23][24][25][26][27][28] Much attention has been devoted to HD scattering from Pt͑111͒ because of, inter alia, the high probabilities for rotational excitation to only a limited number of accessible rotational states. Experimental efforts by Cowin and co-workers 1,2 have been followed by several theoretical studies of this system, employing either Wigner R-matrix theory 27,29 or EngdahlMoiseyev-Maniv T-matrix methods 28 to obtain rotationally inelastic scattering probabilities.…”
We present results of (vϭ0, jϭ0) HD reacting on and scattering from Pt͑111͒ at off-normal angles of incidence, treating all six molecular degrees of freedom quantum mechanically. The six-dimensional potential energy surface ͑PES͒ used was obtained from density functional theory, using the generalized gradient approximation and a slab representation of the metal surface. Diffraction and rotational excitation probabilities are compared with experiment for two incidence directions, at normal incidence energies between 0.05-0.16 eV and at a parallel translational energy of 55.5 meV. The computed ratio of specular reflection to nonspecular in-plane diffraction for HDϩPt͑111͒ is lower than found experimentally, and lower for HDϩPt͑111͒ than for H 2 ϩPt(111) for both incidence directions studied. The calculations also show that out-of-plane diffraction is much more efficient than in-plane diffraction, underlining that results from experiments that solely attempt to measure in-plane diffraction are not sufficient to show the absence of surface corrugation. Discrepancies in rotational excitation and diffraction probabilities between theory and experiment are discussed, as well as possible future improvements in the dynamical model and in the calculation of the PES.
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