Abstract
The accurate description of an atom or molecule colliding with a metal surface remains challenging. Several strategies have been performed over the past decades to include in a Langevin dynamics the energy transfer related to electron–hole pair excitations in a phenomenological way through a friction contribution. We report the adaptation of two schemes previously developed in the literature to couple the electronic friction dynamics with the density-functional based tight-binding (DFTB) approach. The first scheme relies on an electronic isotropic friction coefficient determined from the local electronic density (local density friction approximation or LDFA). In the second one, a tensorial friction is generated from the non-adiabatic couplings of the ground electronic state with the single electron–hole excitations (electron tensor friction approximation or ETFA). New DFTB parameterization provides potential energy curves in good agreement with first-principle density-functional theory (DFT) energy calculations for selected pathways of hydrogen atom adsorbing onto the (100) silver surface or penetrating subsurface. Preliminary DFTB/Langevin dynamics simulations are presented for hydrogen atom scattering from the (100) silver surface and energy loss timescales are characterized.
Similar content being viewed by others
Data availability
No data associated in the manuscript.
References
M. Rapacioli, T. Heine, L. Dontot, M. Yusef Buey, N. Tarrat, F. Spiegelman, F. Louisnard, C. Marti, J. Cuny, M. Morinière, C. Dubosq, S. Patchkovskii, J. Frenzel, E. Michoulier, H. Duarte, L. Zchekhov, D. Salahub, 2023 deMonNano experiment, http://demon-nano.ups-tlse.fr/, (2023)
S.A. Adelman, J.D. Doll, J. Chem. Phys. 64, 2375–2388 (1976)
T.A. Alrebdi, H. Souissi, F.H. Alkallas, F. Aouani, Ab initio adiabatic study of the agh system. Sci. Rep. 11, 8277 (2021)
B. Aradi, B. Hourahine, Th. Frauenheim, Dftb+, a sparse matrix-based implementation of the dftb method. J. Phys. Chem. A 111(26), 5678–5684 (2007). (PMID: 17567110)
M. Askerka, R.J. Maurer, V.S. Batista, J.C. Tully, Role of tensorial electronic friction in energy transfer at metal surfaces. Phys. Rev. Lett. 116, 217601 (2016)
B.B. Zhou, E. Carter, First principles local pseudopotential for silver: towards orbital-free density-functional theory for transition metals. J. Chem. Phys. 122, 184108 (2005)
M. Blanco-Rey, J.I. Juaristi, R. Díez Muiño, H.F. Busnengo, G.J. Kroes, M. Alducin, Electronic friction dominates hydrogen hot-atom relaxation on pd(100). Phys. Rev. Lett. 112(10), 103203 (2014)
P.E. Blöchl, Projector augmented-wave method. Phys. Rev. B 50(24), 17953–17979 (1994)
J. Cuny, N. Tarrat, F. Spiegelman, A. Huguenot, M. Rapacioli, Density-functional tight-binding approach for metal clusters, nanoparticles, surfaces and bulk application to silver and gold. J. Phys. Condens. Matter 30(30), 303001 (2018)
J. Donohue, The Structures of the Elements (1974)
P.M. Echenique, R.M. Nieminen, R.H. Ritchie, Density functional calculation of stopping power of an electron gas for slow ions. Solid State Commun. 37(10), 779–781 (1981)
M. Elstner, D. Porezag, G. Jungnickel, J. Elsner, M. Haugk, T. Frauenheim, S. Suhai, G. Seifert, Self-consistent-charge density-functional tight-binding method for simulations of complex materials properties. Phys. Rev. B 58, 7260–7268 (1998)
P. Ferrin, S. Kandoi, A.U. Nilekar, M. Mavrikakis, Hydrogen adsorption, absorption and diffusion on and in transition metal surfaces: a DFT study. Surf. Sci. 606(7), 679–689 (2012)
M. Forsblom, M. Persson, Vibrational lifetimes of cyanide and carbon monoxide on noble and transition metal surfaces. J. Chem. Phys. 127(15), 154303 (2007)
T. Frauenheim, G. Seifert, M. Elsterner, Z. Hajnal, G. Jungnickel, D. Porezag, S. Suhai, R. Scholz, A self-consistent charge density-functional based tight-binding method for predictive materials simulations in physics, chemistry and biology. Phys. Stat. Solidi (b) 217, 41–62 (2000)
T. Frauenheim, G. Seifert, M. Elstner, T. Niehaus, C. Köhler, M. Amkreutz, M. Sternberg, Z. Hajnal, A. Di Carlo, S. Suhai, Atomistic simulations of complex materials: ground-state and excited-state properties. J. Phys. Cond. Mat. 14, 3015 (2002)
M. Head-Gordon, J.C. Tully, Vibrational relaxation on metal surfaces: molecular-orbital theory and application to co/cu(100). J. Chem. Phys. 96(5), 3939–3949 (1992)
Martin Head-Gordon, John C. Tully, Molecular dynamics with electronic frictions. J. Chem. Phys. 103(23), 10137–10145 (1995)
B. Hellsing, M. Persson, Electronic damping of atomic and molecular vibrations at metal surfaces. Phys. Scr. 29(4), 360 (1984)
N. Hertl, A. Kandratsenka, A.M. Wodtke, Effective medium theory for bcc metals: electronically non-adiabatic h atom scattering in full dimensions. Phys. Chem. Chem. Phys. 24, 8738–8748 (2022)
N. Hertl, R. Martin-Barrios, O. Galparsoro, P. Larrégaray, D.J. Auerbach, D. Schwarzer, A.M. Wodtke, A. Kandratsenka, Random force in molecular dynamics with electronic friction. J. Phys. Chem. C 125(26), 14468–14473 (2021)
K.P. Huber, G. Herzberg, Constants of doiatomic molecule’s. Mol. Spectra Mol. Struct. 4, 146–291 (1979)
P. Janthon, S.A. Luo, S.M. Kozlov, F. Viñes, J. Limtrakul, D.G. Truhlar, F. Illas, Bulk properties of transition metals: a challenge for the design of universal density functionals. J. Chem. Theory Comput. 10, 3832–3839 (2014)
J.I. Juaristi, M. Alducin, R. Díez Muiño, H.F. Busnengo, A. Salin, Role of electron-hole pair excitations in the dissociative adsorption of diatomic molecules on metal surfaces. Phys. Rev. Lett. 100, 116102 (2008)
D. Kolovos-Vellianitis, J. Küppers, Abstraction of D on Ag(100) and Ag(111) surfaces by gaseous H atoms: the role of electron-hole excitations in hot atom reactions and the transition to Eley-Rideal kinetics. Surf. Sci. 548(1), 67–74 (2004)
P. Koskinen, V. Makinen, Density-functional tight-binding for beginners. Comput. Mat. Sc. 47(1), 237–253 (2009)
G. Kresse, J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6(1), 15–50 (1996)
G. Kresse, J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54(16), 11169–11186 (1996)
G. Kresse, J. Hafner, Ab initio molecular dynamics for liquid metals. Phys. Rev. B 47(1), 558–561 (1993)
G. Kresse, D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method. Phys. Rev. B 59(3), 1758–1775 (1999)
R. Martin-Barrios, N. Hertl, O. Galparsoro, A. Kandratsenka, A.M. Wodtke, P. Larrégaray, H atom scattering from w(110): a benchmark for molecular dynamics with electronic friction. Phys. Chem. Chem. Phys. 24(35), 20813–20819 (2022)
R.J. Maurer, M. Askerka, V.S. Batista, J.C. Tully, Ab initio tensorial electronic friction for molecules on metal surfaces: nonadiabatic vibrational relaxation. Phys. Rev. B 94, 115432 (2016)
L.F.L. Oliveira, N. Tarrat, J. Cuny, J. Morillo, D. Lemoine, F. Spiegelman, M. Rapacioli, Benchmarking density functional based tight-binding for silver and gold materials: from small clusters to bulk. J. Phys. Chem. A 120(42), 8469–8483 (2016)
J.P. Perdew, K. Burke, M. Ernzerhof, Generalized gradient approximation made simple. Phys. Rev. Lett. 77(18), 3865–3868 (1996)
J.P. Perdew, K. Burke, M. Ernzerhof, Generalized gradient approximation made simple [phys. rev. lett. 77, 3865 (1996)]. Phys. Rev. Lett. 78(7), 1396–1396 (1997)
D. Porezag, T. Frauenheim, T. Köhler, G. Seifert, R. Kaschner, Phys. Rev. B 51, 12947–12957 (1995)
M. Rapacioli, N. Tarrat, Periodic dftb for supported clusters: implementation and application on benzene dimers deposited on graphene. Computation 10(3), 39 (2022)
S.P. Rittmeyer, J. Meyer, J.I. Juaristi, K. Reuter, Electronic friction-based vibrational lifetimes of molecular adsorbates: beyond the independent-atom approximation. Phys. Rev. Lett. 115(4), 046102 (2015)
G. Seifert, D. Porezag, T. Frauenheim, Int. J. Quant. Chem. 58, 185–192 (1996)
F. Spiegelman, N. Tarrat, J. Cuny, L. Dontot, E. Posenitskiy, C. Martí, A. Simon, M. Rapacioli, Density-functional tight-binding: basic concepts and applications to molecules and clusters. Adv. Phys.: X 5(1), 1710252 (2020)
B. Szűcs, Z. Hajnal, R. Scholz, S. Sanna, Th. Frauenheim, Theoretical study of the adsorption of a ptcda monolayer on s-passivated gaas(1 0 0). Appl. Surf. Sci. 234(1–4), 173–177 (2004)
J.C. Tully, J. Chem. Phys. 73, 6333–42 (1980)
J.C. Tully, Molecular dynamics with electronic transitions. J. Chem. Phys. 93(2), 1061–1071 (1990)
H.A. Witek, D.G. Fedorov, K. Hirao, A. Viel, P.-O. Widmark, Theoretical study of the unusual potential energy curve of the state of agh. J. Chem. Phys. 116(19), 8396–8406 (2002)
H.A. Witek, T. Nakijima, K. Hirao, Relativistic and correlated all-electron calculations on the ground and excited states of agh and auh. J. Chem. Phys. 113(18), 8015–8025 (2000)
Acknowledgements
This study has been supported through the EUR grant NanoX \({n}^\circ\) ANR-17-EURE-0009 in the framework of the “Programme des Investissements d’Avenir”. This work was performed using HPC resources from CALMIP (Grant 2020-P18019). We thank Bruno Lepetit at LCAR for helpful discussions and suggestions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Michoulier, E., Lemoine, D., Spiegelman, F. et al. Dissipative friction dynamics within the density-functional based tight-binding scheme. Eur. Phys. J. Spec. Top. 232, 1975–1983 (2023). https://doi.org/10.1140/epjs/s11734-023-00937-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjs/s11734-023-00937-y