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Jackson B. An examination of phonon-inelastic molecule-metal scattering using reduced density matrix and stochastic wave packet methods. J Chem Phys 2023; 158:024701. [PMID: 36641393 DOI: 10.1063/5.0133638] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
We explore the application of reduced density matrix-based approaches to molecules interacting with the lattice vibrations of metals, an interaction responsible for the temperature dependence of many of the fundamental steps of catalysis. We avoid the use of simple models for the bath and instead use density functional theory to compute all molecule-phonon interactions and the properties of the lattice phonons, for methane scattering from Ir(111). We find that while the large metal mass leads to long bath correlation times, these are not significantly longer than the time over which the reduced density matrix changes due to interactions with the bath. We show that the neglect of memory is reasonable and the use of the Redfield equation is justified. We also show how the commonly used rotating wave approximation is far too severe for this scattering problem. A less restrictive approximation that is nearly exact for our system gives an equation of motion in the Lindblad form. As a result, the Monte Carlo wave packet methods can be used to describe gas-phonon scattering, guaranteeing positivity, and with all couplings derived from first-principles.
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Affiliation(s)
- Bret Jackson
- Department of Chemistry, University of Massachusetts Amherst, Amherst, Massachusetts 01003, USA
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Jackson B. Quantum studies of methane-metal inelastic diffraction and trapping: the variation with molecular orientation and phonon coupling. Chem Phys 2022. [DOI: 10.1016/j.chemphys.2022.111516] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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Jackson B. The trapping of methane on Ir(111): A first-principles quantum study. J Chem Phys 2021; 155:044705. [PMID: 34340380 DOI: 10.1063/5.0058672] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We implement a fully quantum mechanical study of methane trapping on Ir(111), where the phonons, the molecule-surface interaction, and the molecule-phonon coupling are all computed from first-principles. We find that both the surface corrugation and the phonon coupling vary strongly with molecular orientation and that there is a "chemical" aspect to this due to the catalytic nature of the metal. For example, molecules with reactive orientations can approach close to surface sites with low barriers to dissociation. Moreover, lattice motion can lower the barrier to dissociation, leading to unusual behavior for the phonon coupling. We find good agreement with experiment and two recent classical studies if we average our potential energy surface over several orientations of the molecule. We also find reasonable agreement with a recent study of methane diffraction, although we show that diffraction does not play a major role in trapping on the smooth Ir(111) surface and that trapping obeys normal energy scaling, consistent with experiment. We show that the trapping probability can be sensitive to the temperature at both high and low incidence energies. Relaxation and desorption of trapped particles are examined.
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Affiliation(s)
- Bret Jackson
- Department of Chemistry, University of Massachusetts Amherst, Amherst, Massachusetts 01003, USA
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Bukas VJ, Reuter K. Phononic dissipation during “hot” adatom motion: A QM/Me study of O2dissociation at Pd surfaces. J Chem Phys 2017; 146:014702. [DOI: 10.1063/1.4973244] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Vanessa J. Bukas
- Chair for Theoretical Chemistry and Catalysis Research Center, Technische Universität München, Lichtenbergstr. 4, D-85747 Garching, Germany
| | - Karsten Reuter
- Chair for Theoretical Chemistry and Catalysis Research Center, Technische Universität München, Lichtenbergstr. 4, D-85747 Garching, Germany
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Bukas VJ, Reuter K. Hot Adatom Diffusion Following Oxygen Dissociation on Pd(100) and Pd(111): A First-Principles Study of the Equilibration Dynamics of Exothermic Surface Reactions. PHYSICAL REVIEW LETTERS 2016; 117:146101. [PMID: 27740834 DOI: 10.1103/physrevlett.117.146101] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/30/2016] [Indexed: 06/06/2023]
Abstract
We augment ab initio molecular dynamics simulations with a quantitative account of phononic dissipation to study the hyperthermal adsorbate dynamics resulting from a noninstantaneous energy dissipation during exothermic surface chemical reactions. Comparing the hot adatom diffusion ensuing O_{2} dissociation over Pd(100) and Pd(111) we find experimentally accessible product end distances to form a rather misleading measure for the lifetime of this hyperthermal state. The lifetime is particularly long at Pd(111) where a random-walk-type diffusion leads only to small net displacements. A detailed phonon analysis rationalizes the slow equilibration through long-lived Rayleigh mode excitations that spatially confine the released energy within a nanoscopic "hot spot" around the impingement region.
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Affiliation(s)
- Vanessa J Bukas
- Chair for Theoretical Chemistry and Catalysis Research Center, Technische Universität München, Lichtenbergstraße 4, D-85747 Garching, Germany
| | - Karsten Reuter
- Chair for Theoretical Chemistry and Catalysis Research Center, Technische Universität München, Lichtenbergstraße 4, D-85747 Garching, Germany
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Karlický F, Lepetit B, Lemoine D. Quantum modelling of hydrogen chemisorption on graphene and graphite. J Chem Phys 2014; 140:124702. [DOI: 10.1063/1.4867995] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
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Lepetit B, Jackson B. Sticking of hydrogen on supported and suspended graphene at low temperature. PHYSICAL REVIEW LETTERS 2011; 107:236102. [PMID: 22182105 DOI: 10.1103/physrevlett.107.236102] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/22/2011] [Indexed: 05/31/2023]
Abstract
The physisorption of atomic hydrogen on graphene is investigated quantum mechanically using a semiempirical model for the lattice dynamics. A thermally averaged wave packet propagation describes the motion of the H atoms with respect to the membrane. Two graphene configurations, either supported on a silicone oxide substrate or suspended over a hole in the substrate, are considered. In both cases, the phonon spectrum is modified in such a way that graphene is stabilized with respect to thermal fluctuations. The sticking probabilities of hydrogen on these stabilized membranes at 10 K are high at low collision energies, and larger than on graphite.
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Affiliation(s)
- Bruno Lepetit
- Laboratoire Collisions Agrégats Réactivité, IRSAMC, Université de Toulouse, UPS, F-31062 Toulouse, France.
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Lepetit B, Lemoine D, Medina Z, Jackson B. Sticking and desorption of hydrogen on graphite: a comparative study of different models. J Chem Phys 2011; 134:114705. [PMID: 21428654 DOI: 10.1063/1.3565446] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We study the physisorption of atomic hydrogen on graphitic surfaces with four different quantum mechanical methods: perturbation and effective Hamiltonian theories, close coupling wavepacket, and reduced density matrix propagation methods. Corrugation is included in the modeling of the surface. Sticking is a fast process which is well described by all methods. Sticking probabilities are of the order of a few percent in the collision energy range 0-25 meV, but are enhanced for collision energies close to those of diffraction resonances. Sticking also increases with surface temperature. Desorption is a slow process which involves multiphonon processes. We show, however, how to correct the close coupling wavepacket method to account for such phenomena and obtain correct time constants for initial state decay. Desorption time constants are in the range of 20-50 ps for a surface temperature of 300 K.
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Affiliation(s)
- Bruno Lepetit
- Laboratoire Collisions Agrégats Réactivité, IRSAMC, Université de Toulouse, UPS, F-31062 Toulouse, France.
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Morisset S, Allouche A. Quantum dynamic of sticking of a H atom on a graphite surface. J Chem Phys 2008; 129:024509. [DOI: 10.1063/1.2952685] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Medina Z, Jackson B. Quantum studies of light particle trapping, sticking, and desorption on metal and graphite surfaces. J Chem Phys 2008; 128:114704. [DOI: 10.1063/1.2890043] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Persson M, Andersson S. Chapter 4 Physisorption Dynamics at Metal Surfaces. ACTA ACUST UNITED AC 2008. [DOI: 10.1016/s1573-4331(08)00004-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/14/2023]
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Medina Z, Jackson B. Reduced density matrix quantum approach for particle trapping and sticking on corrugated moving surfaces. J Chem Phys 2006; 125:224703. [PMID: 17176150 DOI: 10.1063/1.2402164] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Abstract
A short time propagation algorithm for the reduced density matrix is derived to model the interaction of a quantum particle with a moving corrugated surface. The algorithm includes dissipative terms, which can be derived directly from the full Hamiltonian. The scattering of He from a corrugated Cu surface is examined as a function of incident energy and angle and the temperature of the substrate, with a focus on the nature of trapping. It is found that corrugation can make a significant contribution to trapping, even on a metal surface. Energy exchange with the phonons is shown to significantly modify the nature of diffraction mediated selective adsorption.
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Affiliation(s)
- Zuleika Medina
- Department of Chemistry, University of Massachusetts, Amherst, Massachusetts 01003, USA
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Dissociative adsorption at finite temperature: multiconfiguration vector description of the reduced density matrix. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00637-5] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Thoss M, Domcke W. Theory of vibrational relaxation processes in resonant collisions of low-energy electrons with large molecules. J Chem Phys 1998. [DOI: 10.1063/1.477310] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Baer R, Kosloff R. Quantum dissipative dynamics of adsorbates near metal surfaces: A surrogate Hamiltonian theory applied to hydrogen on nickel. J Chem Phys 1997. [DOI: 10.1063/1.473950] [Citation(s) in RCA: 76] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Bittner ER, Light JC. Many‐body effects and resonances in universal quantum sticking of cold atoms to surfaces. J Chem Phys 1995. [DOI: 10.1063/1.468692] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Bittner ER, Light JC. Quantum stochastic approach for molecule/surface scattering. II. Adsorption resonances of He atoms on Xe overlayers. J Chem Phys 1994. [DOI: 10.1063/1.467684] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Bittner ER. On the low energy limits of inelastic molecule–surface scattering. J Chem Phys 1994. [DOI: 10.1063/1.467196] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Clougherty DP, Kohn W. Quantum theory of sticking. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:4921-4937. [PMID: 10004254 DOI: 10.1103/physrevb.46.4921] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hedenäs CM, Persson M. Inelastic scattering and sticking of hydrogen molecules at adsorbed rare-gas overlayers. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:11273-11282. [PMID: 10001051 DOI: 10.1103/physrevb.45.11273] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Makri N. Accurate quantum mechanical calculation of thermally averaged reaction rate constants for polyatomic systems. J Chem Phys 1991. [DOI: 10.1063/1.460557] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Wang Y, Choi BH, Liu NL. One-phonon calculation of atom-surface inelastic scattering of the He-Cu(111) system. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:7458-7472. [PMID: 9996362 DOI: 10.1103/physrevb.43.7458] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Gortel ZW, Szymanski J. Renormalized theory of sticking and desorption for physisorption. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:1919-1927. [PMID: 9997460 DOI: 10.1103/physrevb.43.1919] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lopez-Castillo J, Daré A, Jay-Gerin J, Tannous C. Electron delocalization and transfer induced by a time-dependent potential: Exact treatment of a simple model-formalism. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 43:35-43. [PMID: 9904751 DOI: 10.1103/physreva.43.35] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Darling GR, Holloway S. Resonance‐mediated dissociative adsorption of hydrogen. J Chem Phys 1990. [DOI: 10.1063/1.459204] [Citation(s) in RCA: 31] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Choi BH, Güvenç ZB, Liu NL. Theory of vibrational, rotational, and phonon inelastic collisions of a triatomic molecule by a crystal surface. I. A quantum-mechanical treatment of the scattering dynamics. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:3887-3906. [PMID: 9995910 DOI: 10.1103/physrevb.42.3887] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Berndt R, Toennies JP, Wöll C. Evidence for coupled rotational and phonon quantum excitation in the scattering of a nearly monoenergetic HD beam from the Ni(001) surface. J Chem Phys 1990. [DOI: 10.1063/1.458105] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Cruz AJ, Jackson B. A finite temperature theory of rotationally inelastic diffraction: H2, HD, and D2 on Cu(100). J Chem Phys 1989. [DOI: 10.1063/1.456739] [Citation(s) in RCA: 30] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Andersson S, Wilzén L, Persson M, Harris J. Sticking in the quantum regime: H2 and D2 on Cu(100). PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:8146-8168. [PMID: 9991271 DOI: 10.1103/physrevb.40.8146] [Citation(s) in RCA: 66] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Cai W, Zheng TF, Hu P, Yudanin B, Lax M. Model of phonon-associated electron tunneling through a semiconductor double barrier. PHYSICAL REVIEW LETTERS 1989; 63:418-421. [PMID: 10041068 DOI: 10.1103/physrevlett.63.418] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Gelfand BY, Schmitt-Rink S, Levi AF. Tunneling in the presence of phonons: A solvable model. PHYSICAL REVIEW LETTERS 1989; 62:1683-1686. [PMID: 10039737 DOI: 10.1103/physrevlett.62.1683] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Jackson B. Mean field approach to molecule–surface scattering at finite temperature: One phonon theory. J Chem Phys 1988. [DOI: 10.1063/1.455041] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Stiles MD, Wilkins JW. Inelastic gas-surface scattering. II. Results. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:7306-7325. [PMID: 9944018 DOI: 10.1103/physrevb.37.7306] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Jackson B. Time dependent quantum mechanical theory of gas–surface energy transfer. J Chem Phys 1988. [DOI: 10.1063/1.454210] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Müller JE. Model of an H2-precursor state on metal surfaces. PHYSICAL REVIEW LETTERS 1987; 59:2943-2946. [PMID: 10035693 DOI: 10.1103/physrevlett.59.2943] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Persson M. Effects of the phonon structure on the elastic scattering probabilities of light particles from surfaces. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:7870-7882. [PMID: 9942583 DOI: 10.1103/physrevb.36.7870] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Gadzuk JW. Vibrational excitation in molecule–surface collisions. Analytic modeling vs classical trajectories. J Chem Phys 1987. [DOI: 10.1063/1.452641] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Jackson B, Metiu H. The dynamics of H2 dissociation on Ni(100): A quantum mechanical study of a restricted two‐dimensional model. J Chem Phys 1987. [DOI: 10.1063/1.452337] [Citation(s) in RCA: 106] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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