skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Diabatic-At-Construction Method for Diabatic and Adiabatic Ground and Excited States Based on Multistate Density Functional Theory

Journal Article · · Journal of Chemical Theory and Computation
 [1];  [2]; ORCiD logo [3];  [2]; ORCiD logo [1]
  1. Jilin Univ., Changchun (China). Inst. of Theoretical Chemistry; Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Chemistry and Supercomputing Inst.
  2. Jilin Univ., Changchun (China). Inst. of Theoretical Chemistry
  3. Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Chemistry and Supercomputing Inst.

Here, we describe a diabatic-at-construction (DAC) strategy for defining diabatic states to determine the adiabatic ground and excited electronic states and their potential energy surfaces using the multistate density functional theory (MSDFT). The DAC approach differs in two fundamental ways from the adiabatic-to-diabatic (ATD) procedures that transform a set of preselected adiabatic electronic states to a new representation. (1) The DAC states are defined in the first computation step to form an active space, whose configuration interaction produces the adiabatic ground and excited states in the second step of MSDFT. Thus, they do not result from a similarity transformation of the adiabatic states as in the ATD procedure; they are the basis for producing the adiabatic states. The appropriateness and completeness of the DAC active space can be validated by comparison with experimental observables of the ground and excited states. (2) The DAC diabatic states are defined using the valence bond characters of the asymptotic dissociation limits of the adiabatic states of interest, and they are strictly maintained at all molecular geometries. Consequently, DAC diabatic states have specific and well-defined physical and chemical meanings that can be used for understanding the nature of the adiabatic states and their energetic components. Here we present results for the four lowest singlet states of LiH and compare them to a well-tested ATD diabatization method, namely the 3-fold way; the comparison reveals both similarities and differences between the ATD diabatic states and the orthogonalized DAC diabatic states. Furthermore, MSDFT can provide a quantitative description of the ground and excited states for LiH with multiple strongly and weakly avoided curve crossings spanning over 10 Å of interatomic separation.

Research Organization:
Univ. of New Mexico, Albuquerque, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Natural Science Foundation of China (NSFC); National Institutes of Health (NIH)
Grant/Contract Number:
SC0016214; 91541124; GM46736; SC0015997
OSTI ID:
1462349
Journal Information:
Journal of Chemical Theory and Computation, Vol. 13, Issue 3; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 45 works
Citation information provided by
Web of Science

References (84)

Generalized Gradient Approximation Made Simple journal October 1996
A new diabatic representation of the coupled potential energy surfaces for Na(3 p 2 P )+H 2 →Na(3 s 2 S )+H 2 or NaH+H journal February 1992
Applications of spin-coupled valence bond theory journal July 1991
High-level ab initio studies of unimolecular dissociation of the ground-state N3 radical journal January 2005
A Simple Electrostatic Model for Trisilylamine:  Theoretical Examinations of the n→σ* Negative Hyperconjugation, p π →d π Bonding, and Stereoelectronic Interaction journal June 1999
Ab initio adiabatic and diabatic potential‐energy curves of the LiH molecule journal July 1992
Constructing diabatic representations using adiabatic and approximate diabatic data – Coping with diabolical singularities journal January 2016
Conical Intersections from Particle–Particle Random Phase and Tamm–Dancoff Approximations journal June 2016
Mixing of ionic and covalent configurations for sodium hydride, potassium hydride, and hydromagnesium(1+). Potential energy curves and couplings between molecular states journal December 1975
The Diabatic Picture of Electron Transfer, Reaction Barriers, and Molecular Dynamics journal March 2010
Role of Conical Intersections in Molecular Spectroscopy and Photoinduced Chemical Dynamics journal May 2012
Block-Localized Density Functional Theory (BLDFT), Diabatic Coupling, and Their Use in Valence Bond Theory for Representing Reactive Potential Energy Surfaces journal August 2009
Valence bond description for the ground state and several low-lying excited states of LiH journal July 1993
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Gaussian Basis Sets for Molecular Calculations book January 1977
Configuration Interaction-Corrected Tamm–Dancoff Approximation: A Time-Dependent Density Functional Method with the Correct Dimensionality of Conical Intersections journal January 2014
Interpolation of multidimensional diabatic potential energy matrices journal September 2006
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
On the Construction of Diabatic and Adiabatic Potential Energy Surfaces Based on Ab Initio Valence Bond Theory journal October 2008
Corresponding Orbitals and the Nonorthogonality Problem in Molecular Quantum Mechanics journal September 1967
Multiconfiguration Pair-Density Functional Theory journal August 2014
Communication: CDFT-CI couplings can be unreliable when there is fractional charge transfer journal December 2015
Semiclassical exchange approximation for inelastic electron scattering journal February 1978
Energy decomposition analysis of intermolecular interactions using a block-localized wave function approach journal April 2000
A second order multiconfiguration SCF procedure with optimum convergence journal June 1985
Quantum dynamical study of the electronic nonadiabaticity in the D + DBr → Br(Br * ) + D 2 reaction on new diabatic potential energy surfaces journal November 2012
The Third Dimension of a More O’Ferrall–Jencks Diagram for Hydrogen Atom Transfer in the Isoelectronic Hydrogen Exchange Reactions of (PhX) 2 H with X = O, NH, and CH 2 journal September 2012
Studies of singlet Rydberg series of LiH derived from Li( nl ) + H(1 s ), with n ≤ 6 and l ≤ 4 journal October 2014
Conditions for the definition of a strictly diabatic electronic basis for molecular systems journal December 1982
Predicting Accurate Electronic Excitation Transfer Rates via Marcus Theory with Boys or Edmiston−Ruedenberg Localized Diabatization journal August 2010
Diabatic couplings for charge recombination via Boys localization and spin-flip configuration interaction singles journal July 2011
Communication: Conical intersections using constrained density functional theory–configuration interaction journal August 2010
Accurate Ab Initio Calculations for LiH and its Ions, LiH+ and LiH− journal February 2006
Direct diabatization of electronic states by the fourfold way. II. Dynamical correlation and rearrangement processes journal September 2002
A Comparison of the Super-CI and the Newton-Raphson Scheme in the Complete Active Space SCF Method journal January 1980
Conical intersections and double excitations in time-dependent density functional theory journal March 2006
Ab initio investigation of the electronic and vibrational properties for the (CaLi) + ionic molecule journal February 2016
Computation and assignment of radial couplings using accurate diabatic data for the LiH molecule journal January 1993
Beyond Kohn–Sham Approximation: Hybrid Multistate Wave Function and Density Functional Theory journal November 2016
A Non-Orthogonal Block-Localized Effective Hamiltonian Approach for Chemical and Enzymatic Reactions journal June 2010
Photodissociation dynamics of H2S on new coupled ab initio potential energy surfaces journal September 1999
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
Energy decomposition analysis based on a block-localized wavefunction and multistate density functional theory journal January 2011
General atomic and molecular electronic structure system journal November 1993
An Ab Initio Molecular Orbital−Valence Bond (MOVB) Method for Simulating Chemical Reactions in Solution journal April 2000
Challenges for Density Functional Theory journal December 2011
Multistate Density Functional Theory for Effective Diabatic Electronic Coupling journal May 2016
Ab initio study of spectroscopic properties of the calcium hydride molecular ion journal July 2011
Photoionization-induced dynamics of the ammonia cation studied by wave packet calculations using curvilinear coordinates journal May 2008
Constructing diabatic states from adiabatic states: Extending generalized Mulliken–Hush to multiple charge centers with Boys localization journal December 2008
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
Analytic energy gradients for multiconfigurational self-consistent field second-order quasidegenerate perturbation theory (MC-QDPT) journal April 1998
Theoretical analysis of electronic delocalization journal August 1998
The DQ and DQΦ electronic structure diabatization methods: Validation for general applications journal May 2016
The multi-state CASPT2 method journal May 1998
First-order derivative couplings between excited states from adiabatic TDDFT response theory journal February 2015
Toward reliable density functional methods without adjustable parameters: The PBE0 model journal April 1999
HN 2 ( 2 A ‘) Electronic Manifold. II. Ab Initio Based Double-Sheeted DMBE Potential Energy Surface via a Global Diabatization Angle journal April 2008
Spectroscopy and Structure of the Lithium Hydride Diatomic Molecules and Ions journal January 1993
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
Model space diabatization for quantum photochemistry journal February 2015
Ab initio adiabatic and diabatic permanent dipoles for the low-lying states of the LiH molecule. A direct illustration of the ionic character journal December 1995
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
Diabatic Representation; Methods for the Construction of Diabatic Electronic States book July 2004
The Quantum Coherent Mechanism for Singlet Fission: Experiment and Theory journal April 2013
The D 1Σ+ state of 7LiH journal July 2000
Introductory lecture: Nonadiabatic effects in chemical dynamics journal January 2004
Beyond Time-Dependent Density Functional Theory Using Only Single Excitations: Methods for Computational Studies of Excited States in Complex Systems journal April 2016
Diabatization based on the dipole and quadrupole: The DQ method journal September 2014
Direct construction of diabatic states in the CASSCF approach. Application to the conical intersection of the 1A2 and 1B1 excited states of ozone journal December 1993
iCI: Iterative CI toward full CI journal January 2016
Analytic evaluation of nonadiabatic coupling terms at the MR-CI level. I. Formalism journal April 2004
Modern valence bond theory journal January 1997
Quasi diabatic CASSCF state functions journal March 2002
Block-diagonalization as a tool for the robust diabatization of high-dimensional potential energy surfaces journal March 2016
Diabatization for Time-Dependent Density Functional Theory: Exciton Transfers and Related Conical Intersections journal November 2016
Ideas of relativistic quantum chemistry journal July 2010
The self‐consistent electron pairs method for multiconfiguration reference state functions journal March 1982
Beyond Born-Oppenheimer book January 2006
A new approach for the development of diabatic potential energy surfaces: Hybrid block-diagonalization and diabatization by ansatz journal November 2016
LiH potential energy curves for ground and excited states with the free complement local Schrödinger equation method journal August 2010
Theoretical investigation of the lithium 2 p 2 s photoabsorption spectra perturbed by atomic hydrogen journal May 2013
The direct calculation of diabatic states based on configurational uniformity journal January 2001
Applicability of the multi-reference double-excitation CI (MRD-CI) method to the calculation of electronic wavefunctions and comparison with related techniques journal March 1978

Cited By (6)