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Title: High-fidelity first principles nonadiabaticity: diabatization, analytic representation of global diabatic potential energy matrices, and quantum dynamics

Journal Article · · Physical Chemistry Chemical Physics. PCCP
DOI:https://doi.org/10.1039/d1cp03008f· OSTI ID:1978756

We report nonadiabatic dynamics, which goes beyond the Born–Oppenheimer approximation, has increasingly been shown to play an important role in chemical processes, particularly those involving electronically excited states. Understanding multistate dynamics requires rigorous quantum characterization of both electronic and nuclear motion. However, such first principles treatments of multi-dimensional systems have so far been rather limited due to the lack of accurate coupled potential energy surfaces and difficulties associated with quantum dynamics. In this Perspective, we review recent advances in developing high-fidelity analytical diabatic potential energy matrices for quantum dynamical investigations of polyatomic uni- and bi-molecular nonadiabatic processes, by machine learning of high-level ab initio data. Special attention is paid to methods of diabatization, high fidelity construction of multi-state coupled potential energy surfaces and property surfaces, as well as quantum mechanical characterization of nonadiabatic nuclear dynamics. To illustrate the tremendous progress made by these new developments, several examples are discussed, in which direct comparison with quantum state resolved measurements led to either confirmation of the observation or sometimes reinterpretation of the experimental data. The insights gained in these prototypical systems greatly advance our understanding of nonadiabatic dynamics in chemical systems.

Research Organization:
Univ. of New Mexico, Albuquerque, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC); National Science Foundation (NSF); National Natural Science Foundation of China (NSFC)
Grant/Contract Number:
SC0015997; CHE-1954723; 22073073
OSTI ID:
1978756
Alternate ID(s):
OSTI ID: 1818553
Journal Information:
Physical Chemistry Chemical Physics. PCCP, Vol. 23, Issue 44; ISSN 1463-9076
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English

References (198)

Direct calculation of coupled diabatic potential-energy surfaces for ammonia and mapping of a four-dimensional conical intersection seam journal March 2006
Gauge theory and quasidiabatic states in molecular physics journal December 1989
Adiabatic and diabatic potential energy surfaces for collisions of CN( X2 Σ + ,  A2 Π) with He journal September 1988
Approximately diabatic states from block diagonalization of the electronic Hamiltonian journal December 1988
Impact of Diabolical Singular Points on Nonadiabatic Dynamics and a Remedy: Photodissociation of Ammonia in the First Band journal September 2020
The Roaming Atom: Straying from the Reaction Path in Formaldehyde Decomposition journal November 2004
Diabatic Molecular Orbitals, Potential Energies, and Potential Energy Surface Couplings by the 4-fold Way for Photodissociation of Phenol journal July 2013
On the elimination of the electronic structure bottleneck in on the fly nonadiabatic dynamics for small to moderate sized (10-15 atom) molecules using fit diabatic representations based solely on ab initio electronic structure data: The photodissociation of phenol journal January 2016
Role of Conical Intersections in Molecular Spectroscopy and Photoinduced Chemical Dynamics journal May 2012
A scheme to interpolate potential energy surfaces and derivative coupling vectors without performing a global diabatization journal December 2011
Zur Theorie nicht adiabatisch verlaufender chemischer Prozesse journal March 1932
An optimal adiabatic-to-diabatic transformation of the 1 2A′ and 2 2A′ states of H3 journal January 2002
Interpolation of multidimensional diabatic potential energy matrices journal September 2006
Perspective: Nonadiabatic dynamics theory journal December 2012
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
On the Construction of Property Based Diabatizations: Diabolical Singular Points journal October 2015
Direct Observation of Hydrogen Tunneling Dynamics in Photoexcited Phenol journal January 2012
Advances and New Challenges to Bimolecular Reaction Dynamics Theory journal September 2020
Conditions for the definition of a strictly diabatic electronic basis for molecular systems journal December 1982
A General Variational Algorithm to Calculate Vibrational Energy Levels of Tetraatomic Molecules journal July 2002
Photodissociation Dynamics book January 2009
First Principles Neural Network Potentials for Reactive Simulations of Large Molecular and Condensed Systems journal August 2017
Conical Intersections:  Diabolical and Often Misunderstood journal August 1998
Conical intersections and double excitations in time-dependent density functional theory journal March 2006
Multistate, multichannel coupled diabatic state representations of adiabatic states coupled by conical intersections. CH 2 OH photodissociation journal April 2017
Vibrational energy levels of the S 0 and S 1 states of formaldehyde using an accurate ab initio based global diabatic potential energy matrix journal May 2021
The direct ultraviolet absorption spectrum of the A'~A2" .rarw. ~X'A1 transition of jet-cooled ammonia journal August 1984
Active vs. spectator modes in nonadiabatic photodissociation dynamics of the hydroxymethyl radical via the 2 2 A (3 s ) Rydberg state journal January 2018
Vibrationally Mediated Photodissociation: Exploring Excited-State Surfaces and Controlling Decomposition Pathways journal October 1993
Quantum theory of bimolecular chemical reactions journal June 2000
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
Quantal Phase Factors Accompanying Adiabatic Changes journal March 1984
Photodissociation of the hydroxymethyl radical. I. The role of conical intersections in line broadening and decomposition pathways journal January 2002
BEYOND BORN-OPPENHEIMER: Molecular Dynamics Through a Conical Intersection journal June 2004
The time-dependent quantum wave packet approach to the electronically nonadiabatic processes in chemical reactions journal January 2006
Nonadiabatic Dynamics of -State Photodissociation of Ammonia: A Four-Dimensional Wave Packet Study journal March 2010
A double many‐body expansion of the two lowest‐energy potential surfaces and nonadiabatic coupling for H 3 journal June 1987
Quantum dynamics simulations using Gaussian wavepackets: the vMCG method journal April 2015
Diabatization based on the dipole and quadrupole: The DQ method journal September 2014
Beyond Born-Oppenheimer theory for ab initio constructed diabatic potential energy surfaces of singlet H3+ to study reaction dynamics using coupled 3D time-dependent wave-packet approach journal August 2017
SHARC: ab Initio Molecular Dynamics with Surface Hopping in the Adiabatic Representation Including Arbitrary Couplings journal March 2011
On the consequences of nonremovable derivative couplings. I. The geometric phase and quasidiabatic states: A numerical study journal December 1996
On the Construction of Diabatic Bases Using Molecular Properties. Rigorous Results in the Vicinity of a Conical Intersection journal October 1998
Kinetically constrained ring-polymer molecular dynamics for non-adiabatic chemical reactions journal February 2014
On the representation of coupled adiabatic potential energy surfaces using quasi-diabatic Hamiltonians: A distributed origins expansion approach journal May 2012
A new approach for the development of diabatic potential energy surfaces: Hybrid block-diagonalization and diabatization by ansatz journal November 2016
Modern Aspects of the Jahn−Teller Effect Theory and Applications To Molecular Problems journal April 2001
The direct calculation of diabatic states based on configurational uniformity journal January 2001
Multidimensional Quantum Dynamics book April 2009
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
Ab Initio Nonadiabatic Quantum Molecular Dynamics journal February 2018
High-Fidelity Potential Energy Surfaces for Gas-Phase and Gas–Surface Scattering Processes from Machine Learning journal June 2020
Three-State Trajectory Surface Hopping Studies of the Photodissociation Dynamics of Formaldehyde on ab Initio Potential Energy Surfaces journal May 2011
Formaldehyde Photochemistry journal October 1983
Vector parametrization of the N-atom problem in quantum mechanics. II. Coupled-angular-momentum spectral representations for four-atom systems journal June 1998
A novel algorithm for non-adiabatic direct dynamics using variational Gaussian wavepackets journal January 2004
Vector parametrization of the N-atom problem in quantum mechanics. I. Jacobi vectors journal June 1998
Nonadiabatic theory of triatomics: General formalism and application to Renner–Teller and conical‐intersection effects journal August 1988
Dynamics at Conical Intersections journal April 2018
Calculation of electronic coupling matrix elements for ground and excited state electron transfer reactions: Comparison of the generalized Mulliken–Hush and block diagonalization methods journal June 1997
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
Isomerization Through Conical Intersections journal May 2007
Non-adiabatic ring polymer molecular dynamics with spin mapping variables journal May 2021
Improved direct diabatization and coupled potential energy surfaces for the photodissociation of ammonia journal March 2007
Time-dependent quantum wave-packet description of the π1σ* photochemistry of phenol journal June 2005
On the incorporation of the geometric phase in general single potential energy surface dynamics: A removable approximation to ab initio data journal December 2016
Excited-state hydrogen detachment and hydrogen transfer driven by repulsive 1πσ* states: A new paradigm for nonradiative decay in aromatic biomolecules journal February 2002
A new set of potential energy surfaces for HCO: Influence of Renner-Teller coupling on the bound and resonance vibrational states journal June 2016
Nonadiabatic Events and Conical Intersections journal May 2011
Constructive and Destructive Interference in Nonadiabatic Tunneling via Conical Intersections journal April 2017
An experimental study of OH(A 2 Σ+) + H 2 : Electronic quenching, rotational energy transfer, and collisional depolarization journal June 2017
Neural network diabatization: A new ansatz for accurate high-dimensional coupled potential energy surfaces journal November 2018
Full-dimensional quantum dynamics of Ã-state photodissociation of ammonia: Absorption spectra journal October 2008
Communication: Fitting potential energy surfaces with fundamental invariant neural network journal August 2016
Electronic non-adiabatic transitions derivation of the general adiabatic-diabatic transformation matrix journal July 1980
Ab Initio Potential Energy Surfaces and Quantum Dynamics for Polyatomic Bimolecular Reactions journal March 2018
Reactive Quenching of OH A 2 Σ + in Collisions with Molecular Deuterium via Nonadiabatic Passage through a Conical Intersection journal November 2001
Constructing diabatic states from adiabatic states: Extending generalized Mulliken–Hush to multiple charge centers with Boys localization journal December 2008
Grid methods for solving the Schrödinger equation and time dependent quantum dynamics of molecular photofragmentation and reactive scattering processes journal September 1992
Permutationally Invariant Potential Energy Surfaces journal April 2018
Electronic quenching of OH A  2 Σ + radicals in single collision events with H 2 and D 2 : a comprehensive quantum state distribution of the OH X  2 Π products journal January 2008
The DQ and DQΦ electronic structure diabatization methods: Validation for general applications journal May 2016
The Chebyshev propagator for quantum systems journal June 1999
Geometric Phase Effects in Chemical Reaction Dynamics and Molecular Spectra journal September 2003
Nonadiabatic Dynamics in Photodissociation of Hydroxymethyl in the 3 2 A(3p x ) Rydberg State: A Nine-Dimensional Quantum Study journal February 2019
Neural network based coupled diabatic potential energy surfaces for reactive scattering journal August 2017
Semiglobal diabatic potential energy matrix for the N–H photodissociation of methylamine journal June 2020
Substituent effects and the noncrossing rule: The importance of reduced symmetry subspaces. I. The quenching of OH(A 2Σ+) by H2 journal October 1999
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
Communication: On the competition between adiabatic and nonadiabatic dynamics in vibrationally mediated ammonia photodissociation in its A band journal March 2015
Photochemical reactions of the low-lying excited states of formaldehyde: T1/S0 intersystem crossings, characteristics of the S1 and T1 potential energy surfaces, and a global T1 potential energy surface journal March 2009
Insights into the Mechanism of Nonadiabatic Photodissociation from Product Vibrational Distributions. The Remarkable Case of Phenol journal December 2019
Signatures of a Conical Intersection in Adiabatic Dissociation on the Ground Electronic State journal February 2018
The multigrid POTFIT (MGPF) method: Grid representations of potentials for quantum dynamics of large systems journal January 2013
Interpolation of diabatic potential energy surfaces journal January 2004
Quasiclassical trajectory study of the postquenching dynamics of OH AΣ2+ by H2/D2 on a global potential energy surface journal October 2010
Photodissociative spectroscopy of the hydroxymethyl radical (CH2OH) in the 3s and 3px states journal September 2002
Permutationally invariant potential energy surfaces in high dimensionality journal October 2009
Non-Born−Oppenheimer Molecular Dynamics journal February 2006
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
Wave function continuity and the diagonal Born-Oppenheimer correction at conical intersections journal May 2016
Higher order (A+E)⊗e pseudo-Jahn–Teller coupling journal May 2005
Diabatic and Adiabatic Representations for Atomic Collision Problems journal March 1969
Determining whether diabolical singularities limit the accuracy of molecular property based diabatic representations: The 1,2 1 A states of methylamine journal October 2018
Complete Nuclear Permutation Inversion Invariant Artificial Neural Network (CNPI-ANN) Diabatization for the Accurate Treatment of Vibronic Coupling Problems journal August 2020
High resolution photofragment translational spectroscopy studies of the near ultraviolet photolysis of phenol journal October 2006
The Photochemistry of Formaldehyde: Internal Conversion and Molecular Dissociation in a Single Step? journal July 2008
Incorporation of electronically nonadiabatic effects into bimolecular reactive systems. I. Theory journal February 1977
Direct diabatization of electronic states by the fourfold way. II. Dynamical correlation and rearrangement processes journal September 2002
Permutation invariant polynomial neural network approach to fitting potential energy surfaces. IV. Coupled diabatic potential energy matrices journal October 2018
Potential energy surfaces from high fidelity fitting of ab initio points: the permutation invariant polynomial - neural network approach journal July 2016
On phase factors and geometric phases in isotopes of H3: A line integral study journal February 2000
Neural network based quasi-diabatic Hamiltonians with symmetry adaptation and a correct description of conical intersections journal June 2019
Communication: State-to-state differential cross sections for H 2 O(B̃) photodissociation journal June 2011
Coupled diabatic potential energy surfaces for studying the nonadiabatic dynamics at conical intersections in angular resolved photodetachment simulations of OHF−→OHF+e− journal October 2006
Roaming Reactions and Dynamics in the van der Waals Region journal April 2020
Recent advances in quantum scattering calculations on polyatomic bimolecular reactions journal January 2017
Statistical and nonstatistical nonadiabatic photodissociation from the first excited state of the hydroxymethyl radical journal February 2005
Photodissociation of phenol via nonadiabatic tunneling: Comparison of two ab initio based potential energy surfaces journal September 2017
Exploring nuclear motion through conical intersections in the UV photodissociation of phenols and thiophenol journal July 2008
The Crossing of Potential Surfaces. journal January 1937
The role of conical intersections in the nonadiabatic quenching of OH(A 2Σ+) by molecular hydrogen journal December 2000
Geometric Phase Effects in Nonadiabatic Dynamics near Conical Intersections journal June 2017
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
Quantum treatment of rotationally inelastic collisions involving molecules in II electronic states: New derivation of the coupling potential journal January 1985
The a b i n i t i o calculation of the vibrational‐rotational spectrum of triatomic systems in the close‐coupling approach, with KCN and H 2 Ne as examples journal October 1982
Diabatic and adiabatic representations: Electronic structure caveats journal March 2019
Generalization of the Mulliken-Hush treatment for the calculation of electron transfer matrix elements journal January 1996
Nonadiabatic Tunneling in Photodissociation of Phenol journal June 2016
Nonadiabatic Electronic Energy Transfer in the Chemical Oxygen–Iodine Laser: Powered by Derivative Coupling or Spin–Orbit Coupling? journal May 2020
Adiabatic separations of stretching and bending vibrations: Application to H 2 O journal October 1986
Transforming high-dimensional potential energy surfaces into sum-of-products form using Monte Carlo methods journal August 2017
Up to a Sign. The Insidious Effects of Energetically Inaccessible Conical Intersections on Unimolecular Reactions journal January 2019
Nonadiabatic quantum reactive scattering of the OH(A Σ2+)+D2 journal November 2010
Effects of higher order Jahn-Teller coupling on the nuclear dynamics journal March 2004
The Spectroscopy of Formaldehyde and Thioformaldehyde journal October 1983
Intersection of potential energy surfaces in polyatomic molecules journal January 1963
Implementation of the analytic energy gradient for the combined time-dependent density functional theory/effective fragment potential method: Application to excited-state molecular dynamics simulations journal February 2011
On the Impact of Singularities in the Two-State Adiabatic to Diabatic State Transformation: A Global Treatment journal September 2019
Accessing Multiple Conical Intersections in the 3s and 3p x Photodissociation of the Hydroxymethyl Radical journal May 2013
The Role of   * Excited States in the Photodissociation of Heteroaromatic Molecules journal June 2006
High-order expansion of <mml:math altimg="si5.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math> Jahn–Teller potential-energy surfaces in tetrahedral systems journal July 2010
A quantum chemical determination of diabatic states journal September 1993
Proposal and numerical test of a simple diabatization scheme journal May 1999
Rotationally inelastic collisions between a diatomic molecule in a 2 Π electronic state and a structureless target journal June 1982
Potential optimized discrete variable representation journal March 1992
An accurate and efficient scheme for propagating the time dependent Schrödinger equation journal November 1984
Atmospheric photochemical loss of H and H 2 from formaldehyde: the relevance of ultrafast processes journal January 2008
MCSCF study of the avoided curve crossing of the two lowest 1 Σ + states of LiF journal May 1981
Potential energy surface crossings in organic photochemistry journal January 1996
On the adiabatic to diabatic states transformation near intersections of conical intersections journal February 2000
Electronic quenching of OH AΣ+2 radicals in single collision events with molecular hydrogen: Quantum state distribution of the OH XΠ2 products journal May 2007
Diatomics‐in‐molecules potential energy surfaces. I. First‐row triatomic hydrides journal February 1973
Photochemistry of the Water Molecule: Adiabatic versus Nonadiabatic Dynamics journal May 2011
Product branching between reactive and nonreactive pathways in the collisional quenching of OH AΣ+2 radicals by H2 journal October 2007
Neural Network Based Quasi-diabatic Representation for S 0 and S 1 States of Formaldehyde journal November 2020
Enabling complete multichannel nonadiabatic dynamics: A global representation of the two-channel coupled, 1,2 1 A and 1 3 A states of NH 3 using neural networks journal March 2021
Quenching of OH(A 2 Σ + ) by H 2 through Conical Intersections: Highly Excited Products in Nonreactive Channel journal June 2010
A time-independent theory of photodissociation based on polynomial propagation journal February 1998
Observation of geometric phase effect induced photodissociation dynamics in phenol journal October 2008
Q UANTUM S CATTERING C ALCULATIONS ON C HEMICAL R EACTIONS journal October 2003
Three states global fittings with improved long range: singlet and triplet states of H+3 journal January 2021
Enabling a Unified Description of Both Internal Conversion and Intersystem Crossing in Formaldehyde: A Global Coupled Quasi-Diabatic Hamiltonian for Its S 0 , S 1 , and T 1 States journal June 2021
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
Studies of the Jahn-Teller effect .II. The dynamical problem
  • Longuet-Higgins, Hugh Christopher; Öpik, U.; Lecorney Pryce, Maurice Henry
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 244, Issue 1236, p. 1-16 https://doi.org/10.1098/rspa.1958.0022
journal February 1958
Optimizing Conical Intersections by Spin−Flip Density Functional Theory: Application to Ethylene journal November 2009
Permutation invariant polynomial neural network approach to fitting potential energy surfaces journal August 2013
An improved quasi-diabatic representation of the 1, 2, 3 1 A coupled adiabatic potential energy surfaces of phenol in the full 33 internal coordinates journal March 2016
Electronic spin—orbit interaction and the molecular Aharonov—Bohm effect journal June 1980
Exploring molecular complexity: Conical intersections and NH3 photodissociation journal July 2004
Nonadiabatic Quantum Chemistry—Past, Present, and Future journal November 2011
Dissociation of NH 3 to NH 2 +H journal June 1987
Interpolation of multi-sheeted multi-dimensional potential-energy surfaces via a linear optimization procedure journal June 2013
Ab Initio Multiple Spawning:  Photochemistry from First Principles Quantum Molecular Dynamics journal June 2000
Photofragmentation of triatomic molecules. Theory of angular and state distribution of product fragments journal October 1981
Adiabatic and diabatic representations for atom-molecule collisions: Treatment of the collinear arrangement journal August 1975
Conical Intersections: Theory, Computation and Experiment book November 2011
Chemical Reaction Dynamics Beyond the Born-Oppenheimer Approximation journal October 1998
Zur Quantentheorie der Molekeln journal January 1927
Full-Dimensional Quantum State-to-State Nonadiabatic Dynamics for Photodissociation of Ammonia in its A -Band journal March 2014
Permutation invariant polynomial neural network approach to fitting potential energy surfaces. II. Four-atom systems journal November 2013
On the mechanism for the nonadiabatic reactive quenching of OH(A 2 Σ + ) by H 2 ( 1 Σg+): The role of the 2 2 A state journal August 2013
Quantum dynamics of the photoinitiated unimolecular dissociation of HOCO journal December 2002
Mechanistic Insights into Photocatalyzed H 2 Dissociation on Au Clusters journal July 2020
Observation of the geometric phase effect in the H + HD → H 2 + D reaction journal December 2018
Roaming Radicals journal May 2011
Symmetry Analysis of the Vibronic States in the Upper Conical Potential (2 3 A‘) of Triplet journal April 2005
Trajectory Surface Hopping Approach to Nonadiabatic Molecular Collisions: The Reaction of H + with D 2 journal July 1971
Time-dependent quantum-mechanical methods for molecular dynamics journal April 1988
Nonadiabatic photodissociation dynamics of the hydroxymethyl radical via the 2 2 A (3 s ) Rydberg state: A four-dimensional quantum study journal June 2017
A fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics journal October 1983
Λ‐doublet and spin‐doublet population distributions in the products of photofragmentation via coupled electronic channels: H 2 O( B ̃  1 A 1 )→H+OH( X2 Π) journal January 1995
Beyond Born-Oppenheimer book January 2006
An ab initio quasi-diabatic potential energy matrix for OH( 2 Σ) + H 2 journal December 2011
The role of the cubic and quartic Jahn–Teller coupling in the X˜2E ground electronic state of the methoxy radical CH3O journal March 2005
Recent Advances in Quantum Dynamics of Bimolecular Reactions journal May 2016
Seams of Conical Intersections Relevant to the Quenching of OH(A 2 Σ + ) by Collisions with H 2 journal April 2013
Time-dependent and time-independent wavepacket approaches to reactive scattering and photodissociation dynamics journal July 2008