The DQ and DQΦ electronic structure diabatization methods: Validation for general applications
Abstract
We recently proposed the dipole-quadrupole (DQ) method for transforming adiabatic electronic states to diabatic states by using matrix elements of the dipole and quadrupole operators, and we applied the method to 3-state diabatizations of LiH and phenol. Here in this paper we extend the method to also include the electrostatic potential, and we call the resulting method the DQΦ method, which denotes the dipole–quadrupole–electrostatic-potential diabatization method. The electrostatic potential provides extra flexibility, and the goal of the present work is to test and illustrate the robustness of the methods for producing diabatic potential energy curves that tend to the adiabatic curves away from crossings and avoided crossings and are smooth in regions of crossings and avoided crossings. We illustrate the generality of the methods by an application to LiH with four states and by two-state diabatizations of HCl, (H2)2, O3, and the reaction Li + HF → LiF + H. We find that—if enough states are included—the DQ method does not have a significant dependence on the parameter weighting the quadrupole moment, and a geometryindependent value of 10 a0 -2 is adequate in all cases tested. We also find that the addition of the electrostatic potential improves the diabatic potentialsmore »
- Authors:
-
- Univ. of Minnesota, Minneapolis, MN (United States). Minnesota Supercomputing Inst., and Dept. of Chemistry, Chemical Theory Center
- Publication Date:
- Research Org.:
- Univ. of Minnesota, Minneapolis, MN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1471095
- Alternate Identifier(s):
- OSTI ID: 1253223
- Grant/Contract Number:
- SC0008666
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 144; Journal Issue: 19; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Hoyer, Chad E., Parker, Kelsey, Gagliardi, Laura, and Truhlar, Donald G. The DQ and DQΦ electronic structure diabatization methods: Validation for general applications. United States: N. p., 2016.
Web. doi:10.1063/1.4948728.
Hoyer, Chad E., Parker, Kelsey, Gagliardi, Laura, & Truhlar, Donald G. The DQ and DQΦ electronic structure diabatization methods: Validation for general applications. United States. https://doi.org/10.1063/1.4948728
Hoyer, Chad E., Parker, Kelsey, Gagliardi, Laura, and Truhlar, Donald G. Sat .
"The DQ and DQΦ electronic structure diabatization methods: Validation for general applications". United States. https://doi.org/10.1063/1.4948728. https://www.osti.gov/servlets/purl/1471095.
@article{osti_1471095,
title = {The DQ and DQΦ electronic structure diabatization methods: Validation for general applications},
author = {Hoyer, Chad E. and Parker, Kelsey and Gagliardi, Laura and Truhlar, Donald G.},
abstractNote = {We recently proposed the dipole-quadrupole (DQ) method for transforming adiabatic electronic states to diabatic states by using matrix elements of the dipole and quadrupole operators, and we applied the method to 3-state diabatizations of LiH and phenol. Here in this paper we extend the method to also include the electrostatic potential, and we call the resulting method the DQΦ method, which denotes the dipole–quadrupole–electrostatic-potential diabatization method. The electrostatic potential provides extra flexibility, and the goal of the present work is to test and illustrate the robustness of the methods for producing diabatic potential energy curves that tend to the adiabatic curves away from crossings and avoided crossings and are smooth in regions of crossings and avoided crossings. We illustrate the generality of the methods by an application to LiH with four states and by two-state diabatizations of HCl, (H2)2, O3, and the reaction Li + HF → LiF + H. We find that—if enough states are included—the DQ method does not have a significant dependence on the parameter weighting the quadrupole moment, and a geometryindependent value of 10 a0 -2 is adequate in all cases tested. We also find that the addition of the electrostatic potential improves the diabatic potentials in some cases and provides an additional property useful for increasing the generality of the method for diabatization.},
doi = {10.1063/1.4948728},
journal = {Journal of Chemical Physics},
number = 19,
volume = 144,
place = {United States},
year = {Sat May 21 00:00:00 EDT 2016},
month = {Sat May 21 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Localized Atomic and Molecular Orbitals
journal, July 1963
- Edmiston, Clyde; Ruedenberg, Klaus
- Reviews of Modern Physics, Vol. 35, Issue 3
Diabatic Molecular Orbitals, Potential Energies, and Potential Energy Surface Couplings by the 4-fold Way for Photodissociation of Phenol
journal, July 2013
- Xu, Xuefei; Yang, Ke R.; Truhlar, Donald G.
- Journal of Chemical Theory and Computation, Vol. 9, Issue 8
Molpro: a general-purpose quantum chemistry program package: Molpro
journal, July 2011
- Werner, Hans-Joachim; Knowles, Peter J.; Knizia, Gerald
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 2, Issue 2
Photochemistry in a dense manifold of electronic states: Photodissociation of CH 2 ClBr
journal, December 2012
- Valero, Rosendo; Truhlar, Donald G.
- The Journal of Chemical Physics, Vol. 137, Issue 22
Theory of electronic transitions in slow atomic collisions
journal, April 1981
- Delos, John B.
- Reviews of Modern Physics, Vol. 53, Issue 2
Constructing diabatic states from adiabatic states: Extending generalized Mulliken–Hush to multiple charge centers with Boys localization
journal, December 2008
- Subotnik, Joseph E.; Yeganeh, Sina; Cave, Robert J.
- The Journal of Chemical Physics, Vol. 129, Issue 24
A quantum chemical determination of diabatic states
journal, September 1993
- Ruedenberg, Klaus; Atchity, Gregory J.
- The Journal of Chemical Physics, Vol. 99, Issue 5
Determination of diabatic states through enforcement of configurational uniformity
journal, October 1997
- Atchity, Gregory J.; Ruedenberg, Klaus
- Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 97, Issue 1-4
A quadratically convergent MCSCF method for the simultaneous optimization of several states
journal, May 1981
- Werner, Hans‐Joachim; Meyer, Wilfried
- The Journal of Chemical Physics, Vol. 74, Issue 10
Non-Born—Oppenheimer Molecular Dynamics for Conical Intersections, Avoided Crossings, and Weak Interactions
book, November 2011
- Jasper, Ahren W.; Truhlar, Donald G.
- Advanced Series in Physical Chemistry, p. 375-414
MCSCF study of the avoided curve crossing of the two lowest 1 Σ + states of LiF
journal, May 1981
- Werner, Hans‐Joachim; Meyer, Wilfried
- The Journal of Chemical Physics, Vol. 74, Issue 10
Gaussian Basis Functions for Use in Molecular Calculations. I. Contraction of (9s5p) Atomic Basis Sets for the First‐Row Atoms
journal, October 1970
- Dunning, Thom H.
- The Journal of Chemical Physics, Vol. 53, Issue 7
Derivative Coupling Elements in Electronically Adiabatic Representations and Their Use in Scattering Calculations
book, January 1983
- Garrett, Bruce C.; Truhlar, Donald G.; Melius, Carl F.
- Energy Storage and Redistribution in Molecules
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen
journal, January 1989
- Dunning, Thom H.
- The Journal of Chemical Physics, Vol. 90, Issue 2
Model space diabatization for quantum photochemistry
journal, February 2015
- Li, Shaohong L.; Truhlar, Donald G.; Schmidt, Michael W.
- The Journal of Chemical Physics, Vol. 142, Issue 6
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
- Nakamura, Hisao; Truhlar, Donald G.
- The Journal of Chemical Physics, Vol. 118, Issue 15
Generalization of the Mulliken-Hush treatment for the calculation of electron transfer matrix elements
journal, January 1996
- Cave, Robert J.; Newton, Marshall D.
- Chemical Physics Letters, Vol. 249, Issue 1-2
Self‐consistent molecular orbital methods. XX. A basis set for correlated wave functions
journal, January 1980
- Krishnan, R.; Binkley, J. S.; Seeger, R.
- The Journal of Chemical Physics, Vol. 72, Issue 1
Perspective on Diabatic Models of Chemical Reactivity as Illustrated by the Gas-Phase S N 2 Reaction of Acetate Ion with 1,2-Dichloroethane
journal, December 2008
- Valero, Rosendo; Song, Lingchun; Gao, Jiali
- Journal of Chemical Theory and Computation, Vol. 5, Issue 1
A Diabatic Representation Including Both Valence Nonadiabatic Interactions and Spin−Orbit Effects for Reaction Dynamics
journal, September 2007
- Valero, Rosendo; Truhlar, Donald G.
- The Journal of Physical Chemistry A, Vol. 111, Issue 35
On the Construction of Property Based Diabatizations: Diabolical Singular Points
journal, October 2015
- Zhu, Xiaolei; Yarkony, David R.
- The Journal of Physical Chemistry A, Vol. 119, Issue 50
Nonadiabatic effects in C–Br bond scission in the photodissociation of bromoacetyl chloride
journal, November 2006
- Valero, Rosendo; Truhlar, Donald G.
- The Journal of Chemical Physics, Vol. 125, Issue 19
Improved direct diabatization and coupled potential energy surfaces for the photodissociation of ammonia
journal, March 2007
- Li, Zhen Hua; Valero, Rosendo; Truhlar, Donald G.
- Theoretical Chemistry Accounts, Vol. 118, Issue 1
The CASSCF state interaction method
journal, February 1989
- Malmqvist, Per-Åke; Roos, Björn O.
- Chemical Physics Letters, Vol. 155, Issue 2
Self‐consistent molecular orbital methods 25. Supplementary functions for Gaussian basis sets
journal, April 1984
- Frisch, Michael J.; Pople, John A.; Binkley, J. Stephen
- The Journal of Chemical Physics, Vol. 80, Issue 7
Diabatization based on the dipole and quadrupole: The DQ method
journal, September 2014
- Hoyer, Chad E.; Xu, Xuefei; Ma, Dongxia
- The Journal of Chemical Physics, Vol. 141, Issue 11
Anchor Points Reactive Potential for Bond-Breaking Reactions
journal, February 2014
- Yang, Ke R.; Xu, Xuefei; Truhlar, Donald G.
- Journal of Chemical Theory and Computation, Vol. 10, Issue 3
Advances in electronic structure theory
book, January 2005
- Gordon, Mark S.; Schmidt, Michael W.
- Theory and Applications of Computational Chemistry
Full-dimensional potentials and state couplings and multidimensional tunneling calculations for the photodissociation of phenol
journal, January 2014
- Yang, Ke R.; Xu, Xuefei; Zheng, Jingjing
- Chem. Sci., Vol. 5, Issue 12
Molcas 8: New capabilities for multiconfigurational quantum chemical calculations across the periodic table : Molcas 8
journal, November 2015
- Aquilante, Francesco; Autschbach, Jochen; Carlson, Rebecca K.
- Journal of Computational Chemistry, Vol. 37, Issue 5
Gaussian Basis Functions for Use in Molecular Calculations. III. Contraction of (10s6p) Atomic Basis Sets for the First‐Row Atoms
journal, July 1971
- Dunning, Thom. H.
- The Journal of Chemical Physics, Vol. 55, Issue 2
Direct diabatization of electronic states by the fourfold-way: Including dynamical correlation by multi-configuration quasidegenerate perturbation theory with complete active space self-consistent-field diabatic molecular orbitals
journal, June 2013
- Yang, Ke R.; Xu, Xuefei; Truhlar, Donald G.
- Chemical Physics Letters, Vol. 573
Conditions for the definition of a strictly diabatic electronic basis for molecular systems
journal, December 1982
- Mead, C. Alden; Truhlar, Donald G.
- The Journal of Chemical Physics, Vol. 77, Issue 12
Adiabatic States Derived from a Spin-Coupled Diabatic Transformation: Semiclassical Trajectory Study of Photodissociation of HBr and the Construction of Potential Curves for LiBr +
journal, June 2008
- Valero, Rosendo; Truhlar, Donald G.; Jasper, Ahren W.
- The Journal of Physical Chemistry A, Vol. 112, Issue 25
The Coupling of Electronically Adiabatic States in Atomic and Molecular Collisions
book, January 1981
- Garrett, Bruce C.; Truhlar, Donald G.
- Theoretical Chemistry
Direct diabatization of electronic states by the fourfold way. II. Dynamical correlation and rearrangement processes
journal, September 2002
- Nakamura, Hisao; Truhlar, Donald G.
- The Journal of Chemical Physics, Vol. 117, Issue 12
The direct calculation of diabatic states based on configurational uniformity
journal, January 2001
- Nakamura, Hisao; Truhlar, Donald G.
- The Journal of Chemical Physics, Vol. 115, Issue 22
Calculation of transition density matrices by nonunitary orbital transformations
journal, October 1986
- Malmqvist, Per �ke
- International Journal of Quantum Chemistry, Vol. 30, Issue 4
Works referencing / citing this record:
Diabatic Hamiltonian construction in van der Waals heterostructure complexes
journal, January 2019
- Xie, Yu; Sun, Huijuan; Zheng, Qijing
- Journal of Materials Chemistry A, Vol. 7, Issue 48
Diabatic Hamiltonian Construction in van der Waals heterostructure complexes
preprint, January 2019
- Xie, Yu; Sun, Huijuan; Zheng, Qijing
- arXiv
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
- Shu, Yinan; Kryven, Joanna; Sampaio de Oliveira-Filho, Antonio Gustavo
- The Journal of Chemical Physics, Vol. 151, Issue 10
Representation of coupled adiabatic potential energy surfaces using neural network based quasi-diabatic Hamiltonians: 1,2 2 A′ states of LiFH
journal, January 2019
- Guan, Yafu; Zhang, Dong H.; Guo, Hua
- Physical Chemistry Chemical Physics, Vol. 21, Issue 26
Neural network based quasi-diabatic Hamiltonians with symmetry adaptation and a correct description of conical intersections
journal, June 2019
- Guan, Yafu; Guo, Hua; Yarkony, David R.
- The Journal of Chemical Physics, Vol. 150, Issue 21
Determining whether diabolical singularities limit the accuracy of molecular property based diabatic representations: The 1,2 1 A states of methylamine
journal, October 2018
- Wang, Yuchen; Yarkony, David R.
- The Journal of Chemical Physics, Vol. 149, Issue 15
Direct diabatization based on nonadiabatic couplings: the N/D method
journal, January 2018
- Varga, Zoltan; Parker, Kelsey A.; Truhlar, Donald G.
- Physical Chemistry Chemical Physics, Vol. 20, Issue 41