Car-Parrinello Monitor for more robust Born-Oppenheimer molecular dynamics.

Born-Oppenheimer molecular dynamics (BOMD) is a promising simulation method for exploring the possible reaction pathways of a chemical system, but one significant challenge is the increased difficulty of converging the self-consistent field (SCF) calculation that often accompanies the breaking and forming of chemical bonds. To address this challenge, we developed an enhancement to the BOMD simulation method called the Car-Parrinello monitor (CPMonitor) that uses Car-Parrinello molecular dynamics (CPMD) to recover from SCF convergence failures. CPMonitor works by detecting SCF convergence failures in BOMD and switching to a CPMD Hamiltonian to propagate through the region of configuration space where the SCF calculation is unable to converge, then switching back to BOMD when good convergence behavior is re-established. We present a series of simulation studies that use CPMonitor, including detailed studies of the thermodynamic and dynamical properties of simple systems, as well as ab initio nanoreactor simulations containing transition metal atoms that were previously not possible to simulate using standard BOMD methods. Our studies show that CPMonitor can make BOMD simulations robust to SCF convergence difficulties and improve simulation performance and stability in reaction discovery applications.

[1]  Tetsuya Taketsugu,et al.  Artificial Force Induced Reaction (AFIR) Method for Exploring Quantum Chemical Potential Energy Surfaces. , 2016, Chemical record.

[2]  M. Head‐Gordon,et al.  Curvy-steps approach to constraint-free extended-Lagrangian ab initio molecular dynamics, using atom-centered basis functions: convergence toward Born-Oppenheimer trajectories. , 2004, The Journal of chemical physics.

[3]  M. Head‐Gordon,et al.  A geometric approach to direct minimization , 2002 .

[4]  Louise A. Berben,et al.  Directing the reactivity of [HFe4N(CO)12]- toward H+ or CO2 reduction by understanding the electrocatalytic mechanism. , 2011, Journal of the American Chemical Society.

[5]  Francois Gygi,et al.  Towards an assessment of the accuracy of density functional theory for first principles simulations of water. II. , 2004, The Journal of chemical physics.

[6]  Todd J Martínez,et al.  Efficient implementation of effective core potential integrals and gradients on graphical processing units. , 2015, The Journal of chemical physics.

[7]  Donald L. Thompson,et al.  Ab initio dynamics: HeH+ + H2 → He + H3+ (C2ν) classical trajectories using a quantum mechanical potential‐energy surface , 1973 .

[8]  M. Karplus,et al.  Semiclassical trajectory approach to photoisomerization , 1975 .

[9]  T. Kühne,et al.  Second generation Car–Parrinello molecular dynamics , 2012, 1201.5945.

[10]  T. Arias,et al.  Iterative minimization techniques for ab initio total energy calculations: molecular dynamics and co , 1992 .

[11]  Markus Reiher,et al.  Accelerating Wave Function Convergence in Interactive Quantum Chemical Reactivity Studies. , 2015, Journal of chemical theory and computation.

[12]  B. Dunlap,et al.  Electronic structure and molecular dynamics of breaking the RO-NO2 bond. , 2009, The Journal of chemical physics.

[13]  Car,et al.  Carbon: The nature of the liquid state. , 1989, Physical Review Letters.

[14]  Kari Laasonen,et al.  ‘‘Ab initio’’ liquid water , 1993 .

[15]  Lee,et al.  Car-Parrinello molecular dynamics with Vanderbilt ultrasoft pseudopotentials. , 1993, Physical review. B, Condensed matter.

[16]  C. Kollmar Convergence optimization of restricted open‐shell self‐consistent field calculations , 1997 .

[17]  G. Scuseria,et al.  A black-box self-consistent field convergence algorithm: One step closer , 2002 .

[18]  Ivan S. Ufimtsev,et al.  Dynamic Precision for Electron Repulsion Integral Evaluation on Graphical Processing Units (GPUs). , 2011, Journal of chemical theory and computation.

[19]  Markus Reiher,et al.  Real‐time feedback from iterative electronic structure calculations , 2015, J. Comput. Chem..

[20]  Erik W Draeger,et al.  Towards an assessment of the accuracy of density functional theory for first principles simulations of water. , 2004, The Journal of chemical physics.

[21]  G. Scuseria,et al.  Ab initio molecular dynamics: Propagating the density matrix with Gaussian orbitals , 2001 .

[22]  Robert T. McGibbon,et al.  Automated Discovery and Refinement of Reactive Molecular Dynamics Pathways. , 2016, Journal of chemical theory and computation.

[23]  Ivan S Ufimtsev,et al.  Quantum Chemistry on Graphical Processing Units. 2. Direct Self-Consistent-Field Implementation. , 2009, Journal of chemical theory and computation.

[24]  Todd J Martínez,et al.  Automated Code Engine for Graphical Processing Units: Application to the Effective Core Potential Integrals and Gradients. , 2016, Journal of chemical theory and computation.

[25]  H. Schaefer,et al.  Remarkable aspects of unsaturation in trinuclear metal carbonyl clusters: the triiron species Fe3(CO)n (n = 12, 11, 10, 9). , 2006, Journal of the American Chemical Society.

[26]  Anders M N Niklasson,et al.  Extended Born-Oppenheimer molecular dynamics. , 2008, Physical review letters.

[27]  Gustavo E. Scuseria,et al.  IMPROVING SELF-CONSISTENT FIELD CONVERGENCE BY VARYING OCCUPATION NUMBERS , 1999 .

[28]  Kazuhiro Ishida,et al.  The intrinsic reaction coordinate. An ab initio calculation for HNC→HCN and H−+CH4→CH4+H− , 1977 .

[29]  J. Kussmann,et al.  Efficient and Accurate Born-Oppenheimer Molecular Dynamics for Large Molecular Systems. , 2017, Journal of chemical theory and computation.

[30]  Franz Saija,et al.  Miller experiments in atomistic computer simulations , 2014, Proceedings of the National Academy of Sciences.

[31]  Scott Habershon,et al.  Automated Prediction of Catalytic Mechanism and Rate Law Using Graph-Based Reaction Path Sampling. , 2016, Journal of chemical theory and computation.

[32]  Markus Reiher,et al.  Heuristics-Guided Exploration of Reaction Mechanisms. , 2015, Journal of chemical theory and computation.

[33]  R. McGibbon,et al.  Discovering chemistry with an ab initio nanoreactor , 2014, Nature chemistry.

[34]  P. Pulay Convergence acceleration of iterative sequences. the case of scf iteration , 1980 .

[35]  Weitao Yang,et al.  Accelerating self-consistent field convergence with the augmented Roothaan-Hall energy function. , 2010, The Journal of chemical physics.

[36]  Car,et al.  Unified approach for molecular dynamics and density-functional theory. , 1985, Physical review letters.

[37]  Donald L Thompson,et al.  Modern Methods for Multidimensional Dynamics Computations in Chemistry , 1998 .

[38]  M. Tuckerman Ab initio molecular dynamics: basic concepts, current trends and novel applications , 2002 .

[39]  Cooper J. Galvin,et al.  Complex Chemical Reaction Networks from Heuristics-Aided Quantum Chemistry. , 2014, Journal of chemical theory and computation.

[40]  I-Feng W. Kuo,et al.  An ab Initio Molecular Dynamics Study of the Aqueous Liquid-Vapor Interface , 2004, Science.

[41]  G. Scuseria,et al.  Ab initio molecular dynamics: Propagating the density matrix with Gaussian orbitals. II. Generalizations based on mass-weighting, idempotency, energy conservation and choice of initial conditions , 2001 .

[42]  Amitesh Maiti,et al.  Synthesis of glycine-containing complexes in impacts of comets on early Earth. , 2010, Nature chemistry.

[43]  Peter M W Gill,et al.  Self-consistent field calculations of excited states using the maximum overlap method (MOM). , 2008, The journal of physical chemistry. A.

[44]  Markus Reiher,et al.  Steering Orbital Optimization out of Local Minima and Saddle Points Toward Lower Energy. , 2016, Journal of chemical theory and computation.

[45]  William H Green,et al.  Automated Discovery of Elementary Chemical Reaction Steps Using Freezing String and Berny Optimization Methods. , 2015, Journal of chemical theory and computation.

[46]  Zhang,et al.  Negative-electron-affinity effects on the diamond (100) surface. , 1994, Physical review. B, Condensed matter.

[47]  Fabio Pietrucci,et al.  Graph theory meets ab initio molecular dynamics: atomic structures and transformations at the nanoscale. , 2011, Physical review letters.

[48]  A. Niklasson Next generation extended Lagrangian first principles molecular dynamics. , 2017, The Journal of chemical physics.

[49]  V. R. Saunders,et al.  A “Level–Shifting” method for converging closed shell Hartree–Fock wave functions , 1973 .

[50]  W. Goddard,et al.  Accurate Band Gaps for Semiconductors from Density Functional Theory , 2011 .

[51]  Michel Dupuis,et al.  Dynamics-Driven Reaction Pathway in an Intramolecular Rearrangement , 2003, Science.

[52]  C. Bris,et al.  Can we outperform the DIIS approach for electronic structure calculations , 2000 .

[53]  M. Gaigeot,et al.  Ab Initio Molecular Dynamics Computation of the Infrared Spectrum of Aqueous Uracil , 2003 .

[54]  Benjamin G. Janesko,et al.  Why are GGAs so accurate for reaction kinetics on surfaces? Systematic comparison of hybrid vs. nonhybrid DFT for representative reactions. , 2017, The Journal of chemical physics.

[55]  G. Scuseria,et al.  Ab initio molecular dynamics: Propagating the density matrix with Gaussian orbitals. III. Comparison with Born–Oppenheimer dynamics , 2002 .

[56]  Claude Leforestier,et al.  Classical trajectories using the full abinitio potential energy surface H−+CH4→CH4+H− , 1978 .

[57]  Ivan S Ufimtsev,et al.  Quantum Chemistry on Graphical Processing Units. 3. Analytical Energy Gradients, Geometry Optimization, and First Principles Molecular Dynamics. , 2009, Journal of chemical theory and computation.

[58]  M. Klein,et al.  Ab initio theory and modeling of water , 2017, Proceedings of the National Academy of Sciences.

[59]  Ivan S Ufimtsev,et al.  Quantum Chemistry on Graphical Processing Units. 1. Strategies for Two-Electron Integral Evaluation. , 2008, Journal of chemical theory and computation.

[60]  Emily A. Carter,et al.  Spin eigenstate-dependent Hartree—Fock molecular dynamics , 1992 .

[61]  Ian M. Pendleton,et al.  Experimental and Computational Assessment of Reactivity and Mechanism in C(sp(3))-N Bond-Forming Reductive Elimination from Palladium(IV). , 2016, Journal of the American Chemical Society.