Neural network predictions of oxygen interactions on a dynamic Pd surface

Abstract Artificial neural networks (NNs) are increasingly common in quantum chemistry applications. These models can be trained to higher-level ab-initio calculations and are capable of achieving arbitrary levels of accuracy. The most common applications thus far have been specialised for either bulk or surface structures of up to two chemical components. However, very few of these studies utilise NNs trained to high-dimensional potential energy surfaces, and there are even fewer studies which examine adsorbate–adsorbate and adsorbate–surface interactions with those NNs. The goal of this work is to determine the feasibility of and develop methodologies for producing a high-dimensional NN capable of reproducing coverage-dependent oxygen interactions with a dynamic Pd fcc(1 1 1) surface. We utilise the atomistic machine-learning potential software package to generate a Behler–Parrinello local symmetry function NN trained on a large database of density functional theory (DFT) calculations. These training methods are flexible, and thus easily expanded upon as demonstrated in previous work. This allows the database of high quality PdO DFT calculations to be used as a basis for future work, such as the inclusion of a third chemical species, for example a binary Pd alloy, or another adsorbate atom such as hydrogen.

[1]  H. Monkhorst,et al.  SPECIAL POINTS FOR BRILLOUIN-ZONE INTEGRATIONS , 1976 .

[2]  F. Ducastelle,et al.  Generalized cluster description of multicomponent systems , 1984 .

[3]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[4]  Hafner,et al.  Ab initio molecular dynamics for liquid metals. , 1995, Physical review. B, Condensed matter.

[5]  Hafner,et al.  Ab initio molecular-dynamics simulation of the liquid-metal-amorphous-semiconductor transition in germanium. , 1994, Physical review. B, Condensed matter.

[6]  Blöchl,et al.  Projector augmented-wave method. , 1994, Physical review. B, Condensed matter.

[7]  Steven D. Brown,et al.  Neural network models of potential energy surfaces , 1995 .

[8]  Burke,et al.  Generalized Gradient Approximation Made Simple. , 1996, Physical review letters.

[9]  Karsten Wedel Jacobsen,et al.  A semi-empirical effective medium theory for metals and alloys , 1996 .

[10]  G. Kresse,et al.  Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set , 1996 .

[11]  Kresse,et al.  Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. , 1996, Physical review. B, Condensed matter.

[12]  K. Burke,et al.  Generalized Gradient Approximation Made Simple [Phys. Rev. Lett. 77, 3865 (1996)] , 1997 .

[13]  G. Kresse,et al.  From ultrasoft pseudopotentials to the projector augmented-wave method , 1999 .

[14]  G. Henkelman,et al.  A climbing image nudged elastic band method for finding saddle points and minimum energy paths , 2000 .

[15]  K. Laasonen,et al.  Ab initio study of O2 precursor states on the Pd(111) surface , 2001 .

[16]  Karsten W. Jacobsen,et al.  An object-oriented scripting interface to a legacy electronic structure code , 2002, Comput. Sci. Eng..

[17]  M Schmid,et al.  Two-dimensional oxide on Pd(111). , 2002, Physical review letters.

[18]  C. Fiolhais,et al.  Extraction of aluminium surface energies from slab calculations: perturbative and non-perturbative approaches , 2003 .

[19]  John P. Perdew,et al.  Reply to “Comment on ‘Energy and pressure versus volume: Equations of state motivated by the stabilized jellium model’ ” , 2003 .

[20]  Wilfried B. Holzapfel Comment on “Energy and pressure versus volume: Equations of state motivated by the stabilized jellium model” , 2003 .

[21]  D. F. Ogletree,et al.  Chemisorption of atomic oxygen on Pd(1 1 1) studied by STM , 2004 .

[22]  M. Scheffler,et al.  Oxygen Overlayers on Pd(111) Studied by Density Functional Theory , 2004 .

[23]  James B Witkoskie,et al.  Neural Network Models of Potential Energy Surfaces:  Prototypical Examples. , 2005, Journal of chemical theory and computation.

[24]  Gerbrand Ceder,et al.  Surface segregation and ordering of alloy surfaces in the presence of adsorbates , 2005 .

[25]  J. Behler,et al.  Representing molecule-surface interactions with symmetry-adapted neural networks. , 2007, The Journal of chemical physics.

[26]  Michele Parrinello,et al.  Generalized neural-network representation of high-dimensional potential-energy surfaces. , 2007, Physical review letters.

[27]  C. Stampfl,et al.  First-principles investigations of the structure and stability of oxygen adsorption and surface oxide formation at Au(111) , 2007 .

[28]  K. Reuter,et al.  Ab Initio Atomistic Thermodynamics for Surfaces: A Primer , 2007 .

[29]  Peter Blaha,et al.  Performance on molecules, surfaces, and solids of the Wu-Cohen GGA exchange-correlation energy functional , 2007 .

[30]  C. Minot,et al.  On the move of strongly chemisorbed species on metals : The example of O diffusion on Pd(111) surface , 2008 .

[31]  J. Behler,et al.  Metadynamics simulations of the high-pressure phases of silicon employing a high-dimensional neural network potential. , 2008, Physical review letters.

[32]  J. Kitchin Correlations in coverage-dependent atomic adsorption energies on Pd(111) , 2009 .

[33]  Thomas D. Kuhne,et al.  Ab initio quality neural-network potential for sodium , 2010, 1002.2879.

[34]  Nongnuch Artrith,et al.  High-dimensional neural-network potentials for multicomponent systems: Applications to zinc oxide , 2011 .

[35]  J. Behler Atom-centered symmetry functions for constructing high-dimensional neural network potentials. , 2011, The Journal of chemical physics.

[36]  William F. Schneider,et al.  Ordering and Oxygen Adsorption in Au–Pt/Pt(111) Surface Alloys , 2011 .

[37]  Nongnuch Artrith,et al.  High-dimensional neural network potentials for metal surfaces: A prototype study for copper , 2012 .

[38]  J. Kitchin,et al.  Simulating Temperature Programmed Desorption of Oxygen on Pt(111) Using DFT Derived Coverage Dependent Desorption Barriers , 2014, Topics in Catalysis.

[39]  C. Wolverton,et al.  Implications of coverage-dependent O adsorption for catalytic NO oxidation on the late transition metals , 2014 .

[40]  Gábor Csányi,et al.  Gaussian approximation potentials: A brief tutorial introduction , 2015, 1502.01366.

[41]  Jörg Behler,et al.  Constructing high‐dimensional neural network potentials: A tutorial review , 2015 .

[42]  Alexie M. Kolpak,et al.  Grand canonical molecular dynamics simulations of Cu–Au nanoalloys in thermal equilibrium using reactive ANN potentials , 2015 .

[43]  John R. Kitchin,et al.  Neural network and ReaxFF comparison for Au properties , 2016 .

[44]  Alireza Khorshidi,et al.  Amp: A modular approach to machine learning in atomistic simulations , 2016, Comput. Phys. Commun..