Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Enabling complete multichannel nonadiabatic dynamics: A global representation of the two-channel coupled, 1,21A and 13A states of NH3 using neural networks

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/5.0037684· OSTI ID:1852059
 [1];  [2];  [3];  [2]
  1. Johns Hopkins Univ., Baltimore, MD (United States); Johns Hopkins Univ., Baltimore, MD (United States)
  2. Johns Hopkins Univ., Baltimore, MD (United States)
  3. Univ. of New Mexico, Albuquerque, NM (United States)
Global coupled three-state two-channel potential energy and property/interaction (dipole and spin–orbit coupling) surfaces for the dissociation of NH3(Ã) into NH + H2 and NH2 + H are reported. The permutational invariant polynomial-neural network approach is used to simultaneously fit and diabatize the electronic Hamiltonian by fitting the energies, energy gradients, and derivative couplings of the two coupled lowest-lying singlet states as well as fitting the energy and energy gradients of the lowest-lying triplet state. The key issue in fitting property matrix elements in the diabatic basis is that the diabatic surfaces must be smooth, that is, the diabatization must remove spikes in the original adiabatic property surfaces attributable to the switch of electronic wavefunctions at the conical intersection seam. Here, we employ the fit potential energy matrix to transform properties in the adiabatic representation to a quasi-diabatic representation and remove the discontinuity near the conical intersection seam. The property matrix elements can then be fit with smooth neural network functions. The coupled potential energy surfaces along with the dipole and spin–orbit coupling surfaces will enable more accurate and complete treatment of optical transitions, as well as nonadiabatic internal conversion and intersystem crossing.
Research Organization:
Univ. of New Mexico, Albuquerque, NM (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
SC0015997
OSTI ID:
1852059
Alternate ID(s):
OSTI ID: 1768900
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 9 Vol. 154; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (105)

Nonadiabatic dynamics: The SHARC approach
  • Mai, Sebastian; Marquetand, Philipp; González, Leticia
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 6 https://doi.org/10.1002/wcms.1370
journal May 2018
Columbus-a program system for advanced multireference theory calculations: The Columbus multireference program system
  • Lischka, Hans; Müller, Thomas; Szalay, Péter G.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 1, Issue 2 https://doi.org/10.1002/wcms.25
journal January 2011
Spin-orbit coupling and intersystem crossing in molecules: Spin-orbit coupling journal July 2011
Molecular Fine Structure book January 1977
Quantum Mechanics of One- and Two-Electron Atoms book January 1957
The Levenberg-Marquardt algorithm: Implementation and theory book January 1978
Approximation by superpositions of a sigmoidal function journal December 1989
Improved direct diabatization and coupled potential energy surfaces for the photodissociation of ammonia journal March 2007
Determination of diabatic states through enforcement of configurational uniformity
  • Atchity, Gregory J.; Ruedenberg, Klaus
  • Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 97, Issue 1-4 https://doi.org/10.1007/s002140050236
journal October 1997
Generalization of the Mulliken-Hush treatment for the calculation of electron transfer matrix elements journal January 1996
Adiabatic and diabatic representations for atom-diatom collisions: Treatment of the three-dimensional case journal June 1976
ArF laser photodissociation of NH3 at 193 nm: internal energy distributions in NH2 X̃2B1 and Ã2A1, and two-photon generatin of NH A 3Π and b 1Σ+ journal October 1979
Electronic spin—orbit interaction and the molecular Aharonov—Bohm effect journal June 1980
Representing high-dimensional potential-energy surfaces for reactions at surfaces by neural networks journal September 2004
Introduction to the theory of electronic non-adiabatic coupling terms in molecular systems journal February 2002
Machine Learning for Electronically Excited States of Molecules journal November 2020
Impact of Diabolical Singular Points on Nonadiabatic Dynamics and a Remedy: Photodissociation of Ammonia in the First Band journal September 2020
Improved on-the-Fly MCTDH Simulations with Many-Body-Potential Tensor Decomposition and Projection Diabatization journal November 2018
Extending the Representation of Multistate Coupled Potential Energy Surfaces To Include Properties Operators Using Neural Networks: Application to the 1,2 1 A States of Ammonia journal November 2019
Complete Nuclear Permutation Inversion Invariant Artificial Neural Network (CNPI-ANN) Diabatization for the Accurate Treatment of Vibronic Coupling Problems journal August 2020
Neural Network Based Quasi-diabatic Representation for S 0 and S 1 States of Formaldehyde journal November 2020
A Quasi-Diabatic Representation of the 1,2 1 A States of Methylamine journal May 2019
On the Impact of Singularities in the Two-State Adiabatic to Diabatic State Transformation: A Global Treatment journal September 2019
Accurate Neural Network Representation of the Ab Initio Determined Spin–Orbit Interaction in the Diabatic Representation Including the Effects of Conical Intersections journal February 2020
Combining SchNet and SHARC: The SchNarc Machine Learning Approach for Excited-State Dynamics journal April 2020
Topologically Correct Quantum Nonadiabatic Formalism for On-the-Fly Dynamics journal January 2017
The Problem of Overfitting journal January 2004
SHARC: ab Initio Molecular Dynamics with Surface Hopping in the Adiabatic Representation Including Arbitrary Couplings journal March 2011
Permutationally Invariant Polynomial Basis for Molecular Energy Surface Fitting via Monomial Symmetrization journal November 2009
The direct ultraviolet absorption spectrum of the A'~A2" .rarw. ~X'A1 transition of jet-cooled ammonia journal August 1984
Nonadiabatic Tunneling in Photodissociation of Phenol journal June 2016
A Straightforward Method of Analysis for Direct Quantum Dynamics: Application to the Photochemistry of a Model Cyanine journal August 2010
Modified Feed-Forward Neural Network Structures and Combined-Function-Derivative Approximations Incorporating Exchange Symmetry for Potential Energy Surface Fitting journal May 2012
Nonadiabatic Dynamics of -State Photodissociation of Ammonia: A Four-Dimensional Wave Packet Study journal March 2010
Potential Energy Surfaces Fitted by Artificial Neural Networks journal March 2010
Ab Initio Multiple Spawning:  Photochemistry from First Principles Quantum Molecular Dynamics journal June 2000
A fundamental invariant-neural network representation of quasi-diabatic Hamiltonians for the two lowest states of H 3 journal January 2021
Conical intersection dynamics in solution: The chromophore of Green Fluorescent Protein journal January 2004
Neural network potential-energy surfaces in chemistry: a tool for large-scale simulations journal January 2011
Ab initio multiple cloning simulations of pyrrole photodissociation: TKER spectra and velocity map imaging journal January 2015
Accurate nonadiabatic dynamics journal January 2016
A ground state potential energy surface for HONO based on a neural network with exponential fitting functions journal January 2017
Representation of coupled adiabatic potential energy surfaces using neural network based quasi-diabatic Hamiltonians: 1,2 2 A′ states of LiFH journal January 2019
On the nonadiabatic collisional quenching of OH(A) by H 2 : a four coupled quasi-diabatic state description journal January 2020
Dissociation of NH 3 to NH + H 2 journal January 1991
The direct calculation of diabatic states based on configurational uniformity journal January 2001
Extension of the fourfold way for calculation of global diabatic potential energy surfaces of complex, multiarrangement, non-Born–Oppenheimer systems: Application to HNCO(S0,S1) journal April 2003
Effects of higher order Jahn-Teller coupling on the nuclear dynamics journal March 2004
Analytic evaluation of nonadiabatic coupling terms at the MR-CI level. I. Formalism journal April 2004
Analytic evaluation of nonadiabatic coupling terms at the MR-CI level. II. Minima on the crossing seam: Formaldehyde and the photodimerization of ethylene journal April 2004
Photodissociation of NH3 in the Vacuum Ultraviolet journal December 1967
Interpolation of diabatic potential energy surfaces journal January 2004
Ab initio potential-energy surfaces for complex, multichannel systems using modified novelty sampling and feedforward neural networks journal February 2005
Statistical and nonstatistical nonadiabatic photodissociation from the first excited state of the hydroxymethyl radical journal February 2005
Higher order (A+E)⊗e pseudo-Jahn–Teller coupling journal May 2005
Interpolation of diabatic potential-energy surfaces: Quantum dynamics on ab initio surfaces journal October 2005
A random-sampling high dimensional model representation neural network for building potential energy surfaces journal August 2006
Mixed quantum/classical investigation of the photodissociation of NH3(Ã) and a practical method for maintaining zero-point energy in classical trajectories journal July 2008
Full-dimensional quantum dynamics of Ã-state photodissociation of ammonia: Absorption spectra journal October 2008
Constructing diabatic states from adiabatic states: Extending generalized Mulliken–Hush to multiple charge centers with Boys localization journal December 2008
Coupled-surface investigation of the photodissociation of NH3(Ã): Effect of exciting the symmetric and antisymmetric stretching modes journal June 2009
Toward eliminating the electronic structure bottleneck in nonadiabatic dynamics on the fly: An algorithm to fit nonlocal, quasidiabatic, coupled electronic state Hamiltonians based on ab initio electronic structure data journal March 2010
Quantum grow—A quantum dynamics sampling approach for growing potential energy surfaces and nonadiabatic couplings journal March 2010
A full-dimensional coupled-surface study of the photodissociation dynamics of ammonia using the multiconfiguration time-dependent Hartree method journal July 2011
MCSCF study of the avoided curve crossing of the two lowest 1 Σ + states of LiF journal May 1981
Conditions for the definition of a strictly diabatic electronic basis for molecular systems journal December 1982
Photodissociation of NH 3 at 106–200 nm journal April 1983
Generation of NH( a1 Δ) in the 193 nm photolysis of ammonia journal February 1987
Dissociation of NH 3 to NH 2 +H journal June 1987
State selective photodissociation dynamics of A ̃ state ammonia. I journal March 1988
State selective photodissociation dynamics of A ̃ state ammonia. II journal September 1989
Potential energy surfaces near intersections journal August 1991
Implications of rotation–inversion–permutation invariance for analytic molecular potential energy surfaces journal November 1993
Neural network models of potential energy surfaces journal September 1995
On the representation of coupled adiabatic potential energy surfaces using quasi-diabatic Hamiltonians: A distributed origins expansion approach journal May 2012
Photodissociation dynamics of A ̃ state ammonia molecules. I. State dependent μ‐ v correlations in the NH 2 (ND 2 ) products journal May 1996
Photodissociation dynamics of A ̃ state ammonia molecules. II. The isotopic dependence for partially and fully deuterated isotopomers journal May 1996
Computational determination of the à state absorption spectrum of NH 3 and of ND 3 using a new quasi-diabatic representation of the X̃ and à states and full six-dimensional quantum dynamics journal June 2012
Combining ab initio computations, neural networks, and diffusion Monte Carlo: An efficient method to treat weakly bound molecules journal November 1996
First principles determination of the NH 2 /ND 2 (Ã,X̃) branching ratios for photodissociation of NH 3 /ND 3 via full-dimensional quantum dynamics based on a new quasi-diabatic representation of coupled ab initio potential energy surfaces journal December 2012
The fitting of potential energy surfaces using neural networks: Application to the study of vibrational levels of H3+ journal November 1998
Permutation invariant polynomial neural network approach to fitting potential energy surfaces journal August 2013
Light-induced conical intersections in polyatomic molecules: General theory, strategies of exploitation, and application journal October 2013
Permutation invariant polynomial neural network approach to fitting potential energy surfaces. II. Four-atom systems journal November 2013
Fitting coupled potential energy surfaces for large systems: Method and construction of a 3-state representation for phenol photodissociation in the full 33 internal degrees of freedom using multireference configuration interaction determined data journal January 2014
Permutation invariant polynomial neural network approach to fitting potential energy surfaces. III. Molecule-surface interactions journal July 2014
Diabatization based on the dipole and quadrupole: The DQ method journal September 2014
Communication: On the competition between adiabatic and nonadiabatic dynamics in vibrationally mediated ammonia photodissociation in its A band journal March 2015
Communication: GAIMS—Generalized Ab Initio Multiple Spawning for both internal conversion and intersystem crossing processes journal March 2016
Communication: Fitting potential energy surfaces with fundamental invariant neural network journal August 2016
A new approach for the development of diabatic potential energy surfaces: Hybrid block-diagonalization and diabatization by ansatz journal November 2016
On the incorporation of the geometric phase in general single potential energy surface dynamics: A removable approximation to ab initio data journal December 2016
Multistate, multichannel coupled diabatic state representations of adiabatic states coupled by conical intersections. CH 2 OH photodissociation journal April 2017
Neural network diabatization: A new ansatz for accurate high-dimensional coupled potential energy surfaces journal November 2018
Permutation invariant polynomial neural network approach to fitting potential energy surfaces. IV. Coupled diabatic potential energy matrices journal October 2018
Neural network based quasi-diabatic Hamiltonians with symmetry adaptation and a correct description of conical intersections journal June 2019
Vibronically and spin-orbit coupled diabatic potentials for X( 2 P) + CH 4 → HX + CH 3 reactions: Neural network potentials for X = Cl journal June 2019
Direct diabatization and analytic representation of coupled potential energy surfaces and couplings for the reactive quenching of the excited 2 Σ + state of OH by molecular hydrogen journal September 2019
Deep learning for UV absorption spectra with SchNarc: First steps toward transferability in chemical compound space journal October 2020
Explicitly correlated MRCI-F12 potential energy surfaces for methane fit with several permutation invariant schemes and full-dimensional vibrational calculations journal March 2015
Photodissociation dynamics of à state ammonia molecules III. A three-dimensional time-dependent calculation using ab initio potential energy surfaces journal July 1996
Permutationally invariant potential energy surfaces in high dimensionality journal October 2009
Potential energy surfaces from high fidelity fitting of ab initio points: the permutation invariant polynomial - neural network approach journal July 2016
A photoabsorption, photodissociation and photoelectron spectroscopy study of NH 3 and ND 3 journal January 1999
Generalized Neural-Network Representation of High-Dimensional Potential-Energy Surfaces journal April 2007