Description of ground and excited electronic states by ensemble density functional method with extended active space
Abstract
An extended variant of the spin-restricted ensemble-referenced Kohn-Sham (REKS) method, the REKS(4,4) method, designed to describe the ground electronic states of strongly multireference systems is modified to enable calculation of excited states within the time-independent variational formalism. The new method, the state-interaction state-averaged REKS(4,4), i.e., SI-SA-REKS(4,4), is capable of describing several excited states of a molecule involving double bond cleavage, polyradical character, or multiple chromophoric units.We demonstrate that the newmethod correctly describes the ground and the lowest singlet excited states of a molecule (ethylene) undergoing double bond cleavage. The applicability of the new method for excitonic states is illustrated with π stacked ethylene and tetracene dimers. We conclude that the new method can describe a wide range of multireference phenomena.
- Authors:
-
- Ulsan National Inst. of Science and Technology (Korea, Republic of)
- Stanford Univ., CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1390629
- Alternate Identifier(s):
- OSTI ID: 1374479
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 147; Journal Issue: 6; 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
Filatov, Michael, Martínez, Todd J., and Kim, Kwang S. Description of ground and excited electronic states by ensemble density functional method with extended active space. United States: N. p., 2017.
Web. doi:10.1063/1.4996873.
Filatov, Michael, Martínez, Todd J., & Kim, Kwang S. Description of ground and excited electronic states by ensemble density functional method with extended active space. United States. https://doi.org/10.1063/1.4996873
Filatov, Michael, Martínez, Todd J., and Kim, Kwang S. Mon .
"Description of ground and excited electronic states by ensemble density functional method with extended active space". United States. https://doi.org/10.1063/1.4996873. https://www.osti.gov/servlets/purl/1390629.
@article{osti_1390629,
title = {Description of ground and excited electronic states by ensemble density functional method with extended active space},
author = {Filatov, Michael and Martínez, Todd J. and Kim, Kwang S.},
abstractNote = {An extended variant of the spin-restricted ensemble-referenced Kohn-Sham (REKS) method, the REKS(4,4) method, designed to describe the ground electronic states of strongly multireference systems is modified to enable calculation of excited states within the time-independent variational formalism. The new method, the state-interaction state-averaged REKS(4,4), i.e., SI-SA-REKS(4,4), is capable of describing several excited states of a molecule involving double bond cleavage, polyradical character, or multiple chromophoric units.We demonstrate that the newmethod correctly describes the ground and the lowest singlet excited states of a molecule (ethylene) undergoing double bond cleavage. The applicability of the new method for excitonic states is illustrated with π stacked ethylene and tetracene dimers. We conclude that the new method can describe a wide range of multireference phenomena.},
doi = {10.1063/1.4996873},
journal = {Journal of Chemical Physics},
number = 6,
volume = 147,
place = {United States},
year = {2017},
month = {8}
}
Web of Science
Works referenced in this record:
A spin-restricted ensemble-referenced Kohn–Sham method and its application to diradicaloid situations
journal, May 1999
- Filatov, Michael; Shaik, Sason
- Chemical Physics Letters, Vol. 304, Issue 5-6
Graphical Processing Units for Quantum Chemistry
journal, November 2008
- Ufimtsev, Ivan S.; Martínez, Todd J.
- Computing in Science & Engineering, Vol. 10, Issue 6
Generating Efficient Quantum Chemistry Codes for Novel Architectures
journal, November 2012
- Titov, Alexey V.; Ufimtsev, Ivan S.; Luehr, Nathan
- Journal of Chemical Theory and Computation, Vol. 9, Issue 1
Photogeneration of Octacene and Nonacene
journal, April 2010
- Tönshoff, Christina; Bettinger, Holger F.
- Angewandte Chemie International Edition, Vol. 49, Issue 24
Using the GVB Ansatz to develop ensemble DFT method for describing multiple strongly correlated electron pairs
journal, January 2016
- Filatov, Michael; Martínez, Todd J.; Kim, Kwang S.
- Phys. Chem. Chem. Phys., Vol. 18, Issue 31
Rayleigh-Ritz variational principle for ensembles of fractionally occupied states
journal, April 1988
- Gross, E. K. U.; Oliveira, L. N.; Kohn, W.
- Physical Review A, Vol. 37, Issue 8
The surface energy of a bounded electron gas
journal, August 1974
- Harris, J.; Jones, R. O.
- Journal of Physics F: Metal Physics, Vol. 4, Issue 8
Quantifying charge resonance and multiexciton character in coupled chromophores by charge and spin cumulant analysis
journal, June 2015
- Luzanov, Anatoliy V.; Casanova, David; Feng, Xintian
- The Journal of Chemical Physics, Vol. 142, Issue 22
Density-functional theory for ensembles of fractionally occupied states. I. Basic formalism
journal, April 1988
- Gross, E. K. U.; Oliveira, L. N.; Kohn, W.
- Physical Review A, Vol. 37, Issue 8
Quintet multiexciton dynamics in singlet fission
journal, October 2016
- Tayebjee, Murad J. Y.; Sanders, Samuel N.; Kumarasamy, Elango
- Nature Physics, Vol. 13, Issue 2
Automated Code Engine for Graphical Processing Units: Application to the Effective Core Potential Integrals and Gradients
journal, December 2015
- Song, Chenchen; Wang, Lee-Ping; Martínez, Todd J.
- Journal of Chemical Theory and Computation, Vol. 12, Issue 1
Quantum Chemistry on Graphical Processing Units. 1. Strategies for Two-Electron Integral Evaluation
journal, January 2008
- Ufimtsev, Ivan S.; Martínez, Todd J.
- Journal of Chemical Theory and Computation, Vol. 4, Issue 2
Density-Functional Theory for Fractional Particle Number: Derivative Discontinuities of the Energy
journal, December 1982
- Perdew, John P.; Parr, Robert G.; Levy, Mel
- Physical Review Letters, Vol. 49, Issue 23
Density functionals for coulomb systems
journal, September 1983
- Lieb, Elliott H.
- International Journal of Quantum Chemistry, Vol. 24, Issue 3
Generalized valence bond description of bonding in low-lying states of molecules
journal, November 1973
- Goddard, William A.; Dunning, Thom H.; Hunt, William J.
- Accounts of Chemical Research, Vol. 6, Issue 11
Electronic coupling in the excited electronic state of stacked DNA base homodimers
journal, January 2007
- Ritze, Hans-Hermann; Hobza, Pavel; Nachtigallov?, Dana
- Physical Chemistry Chemical Physics, Vol. 9, Issue 14
Generalised adiabatic connection in ensemble density-functional theory for excited states: example of the H 2 molecule
journal, November 2013
- Franck, Odile; Fromager, Emmanuel
- Molecular Physics, Vol. 112, Issue 12
Excitation energies from time-dependent density-functional formalism for small systems
journal, March 2002
- Aryasetiawan, F.; Gunnarsson, O.; Rubio, A.
- Europhysics Letters (EPL), Vol. 57, Issue 5
Multiconfiguration Self-Consistent Field and Multireference Configuration Interaction Methods and Applications
journal, December 2011
- Szalay, Péter G.; Müller, Thomas; Gidofalvi, Gergely
- Chemical Reviews, Vol. 112, Issue 1
A one‐to‐one mapping between one‐particle densities and some n ‐particle ensembles
journal, November 1980
- Valone, Steven M.
- The Journal of Chemical Physics, Vol. 73, Issue 9
A perspective on the CASPT2 method
journal, April 2011
- Pulay, Peter
- International Journal of Quantum Chemistry, Vol. 111, Issue 13
Aufbau derived from a unified treatment of occupation numbers in Hartree–Fock, Kohn–Sham, and natural orbital theories with the Karush–Kuhn–Tucker conditions for the inequality constraints ni≤1 and ni≥0
journal, May 2010
- Giesbertz, K. J. H.; Baerends, E. J.
- The Journal of Chemical Physics, Vol. 132, Issue 19
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
Assessment of density functional theory based ΔSCF (self-consistent field) and linear response methods for longest wavelength excited states of extended π-conjugated molecular systems
journal, July 2014
- Filatov, Michael; Huix-Rotllant, Miquel
- The Journal of Chemical Physics, Vol. 141, Issue 2
Density-functional exchange-energy approximation with correct asymptotic behavior
journal, September 1988
- Becke, A. D.
- Physical Review A, Vol. 38, Issue 6
Second‐order perturbation theory with a complete active space self‐consistent field reference function
journal, January 1992
- Andersson, Kerstin; Malmqvist, Per‐Åke; Roos, Björn O.
- The Journal of Chemical Physics, Vol. 96, Issue 2
Hohenberg-Kohn theorem and non-V-representable densities
journal, August 1983
- Englisch, H.; Englisch, R.
- Physica A: Statistical Mechanics and its Applications, Vol. 121, Issue 1-2
A new mixing of Hartree–Fock and local density‐functional theories
journal, January 1993
- Becke, Axel D.
- The Journal of Chemical Physics, Vol. 98, Issue 2
A combination of Kohn–Sham density functional theory and multi-reference configuration interaction methods
journal, October 1999
- Grimme, Stefan; Waletzke, Mirko
- The Journal of Chemical Physics, Vol. 111, Issue 13
Self-consistent implementation of ensemble density functional theory method for multiple strongly correlated electron pairs
journal, December 2016
- Filatov, Michael; Liu, Fang; Kim, Kwang S.
- The Journal of Chemical Physics, Vol. 145, Issue 24
Excitation Energies from Spin-Restricted Ensemble-Referenced Kohn−Sham Method: A State-Average Approach †
journal, December 2008
- Kazaryan, Andranik; Heuver, Jeroen; Filatov, Michael
- The Journal of Physical Chemistry A, Vol. 112, Issue 50
Benchmark calculations of chemical reactions in density functional theory: Comparison of the accurate Kohn–Sham solution with generalized gradient approximations for the H2+H and H2+H2 reactions
journal, September 1999
- Schipper, P. R. T.; Gritsenko, O. V.; Baerends, E. J.
- The Journal of Chemical Physics, Vol. 111, Issue 9
Heptacene: Characterization in Solution, in the Solid State, and in Films
journal, March 2017
- Einholz, Ralf; Fang, Treliant; Berger, Robert
- Journal of the American Chemical Society, Vol. 139, Issue 12
A theoretical study of the structure of cyclobutadiene
journal, March 1977
- Kollmar, H.; Staemmler, V.
- Journal of the American Chemical Society, Vol. 99, Issue 11
Quantum-Chemical Studies on Excitation Energy Transfer Processes in BODIPY-Based Donor–Acceptor Systems
journal, August 2015
- Spiegel, J. Dominik; Kleinschmidt, Martin; Larbig, Alexander
- Journal of Chemical Theory and Computation, Vol. 11, Issue 9
Classification of Spectra of Cata‐Condensed Hydrocarbons
journal, May 1949
- Platt, John R.
- The Journal of Chemical Physics, Vol. 17, Issue 5
GVB-RP: A reliable MCSCF wave function for large systems
journal, January 1999
- Faglioni, Francesco; Goddard, William A.
- International Journal of Quantum Chemistry, Vol. 73, Issue 1
Inhomogeneous Electron Gas
journal, November 1964
- Hohenberg, P.; Kohn, W.
- Physical Review, Vol. 136, Issue 3B, p. B864-B871
The radical character of the acenes: A density matrix renormalization group study
journal, October 2007
- Hachmann, Johannes; Dorando, Jonathan J.; Avilés, Michael
- The Journal of Chemical Physics, Vol. 127, Issue 13
Correlation energy of an inhomogeneous electron gas: A coordinate‐space model
journal, January 1988
- Becke, A. D.
- The Journal of Chemical Physics, Vol. 88, Issue 2
Density-functional theory for ensembles of fractionally occupied states. II. Application to the He atom
journal, April 1988
- Oliveira, L. N.; Gross, E. K. U.; Kohn, W.
- Physical Review A, Vol. 37, Issue 8
Synthesis, Stability, and Photochemistry of Pentacene, Hexacene, and Heptacene: A Matrix Isolation Study
journal, October 2009
- Mondal, Rajib; Tönshoff, Christina; Khon, Dmitriy
- Journal of the American Chemical Society, Vol. 131, Issue 40
Progress in Time-Dependent Density-Functional Theory
journal, May 2012
- Casida, M. E.; Huix-Rotllant, M.
- Annual Review of Physical Chemistry, Vol. 63, Issue 1
Assessment of Density Functional Methods for Obtaining Geometries at Conical Intersections in Organic Molecules
journal, September 2013
- Filatov, Michael
- Journal of Chemical Theory and Computation, Vol. 9, Issue 10
Singlet Fission
journal, November 2010
- Smith, Millicent B.; Michl, Josef
- Chemical Reviews, Vol. 110, Issue 11
A long-range-corrected density functional that performs well for both ground-state properties and time-dependent density functional theory excitation energies, including charge-transfer excited states
journal, February 2009
- Rohrdanz, Mary A.; Martins, Katie M.; Herbert, John M.
- The Journal of Chemical Physics, Vol. 130, Issue 5
Static density - density correlation function for interacting ground states with ensemble v -representable number densities
journal, January 1998
- Farid, Behnam
- Journal of Physics: Condensed Matter, Vol. 10, Issue 1
Ensemble density functional theory method correctly describes bond dissociation, excited state electron transfer, and double excitations
journal, May 2015
- Filatov, Michael; Huix-Rotllant, Miquel; Burghardt, Irene
- The Journal of Chemical Physics, Vol. 142, Issue 18
Spin-restricted ensemble-referenced Kohn-Sham method: basic principles and application to strongly correlated ground and excited states of molecules
journal, November 2014
- Filatov, Michael
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 5, Issue 1
The Multiradical Character of One- and Two-Dimensional Graphene Nanoribbons
journal, January 2013
- Plasser, Felix; Pašalić, Hasan; Gerzabek, Martin H.
- Angewandte Chemie International Edition, Vol. 52, Issue 9
Quantum Chemistry on Graphical Processing Units. 3. Analytical Energy Gradients, Geometry Optimization, and First Principles Molecular Dynamics
journal, August 2009
- Ufimtsev, Ivan S.; Martinez, Todd J.
- Journal of Chemical Theory and Computation, Vol. 5, Issue 10
The potential surfaces for the lowest singlet and triplet states of cyclobutadiene
journal, January 1978
- Borden, Weston Thatcher; Davidson, Ernest R.; Hart, Paul
- Journal of the American Chemical Society, Vol. 100, Issue 2
Can a square or effectively square singlet be the ground state of cyclobutadiene
journal, October 1975
- Borden, Weston T.
- Journal of the American Chemical Society, Vol. 97, Issue 21
Fission of Entangled Spins: An Electronic Structure Perspective
journal, November 2013
- Feng, Xintian; Luzanov, Anatoliy V.; Krylov, Anna I.
- The Journal of Physical Chemistry Letters, Vol. 4, Issue 22
Improved Quantum Theory of Many‐Electron Systems. V. The Spin‐Coupling Optimized GI Method
journal, August 1969
- Ladner, Robert C.; Goddard, William A.
- The Journal of Chemical Physics, Vol. 51, Issue 3
Assessment of Density Functional Theory for Describing the Correlation Effects on the Ground and Excited State Potential Energy Surfaces of a Retinal Chromophore Model
journal, August 2013
- Huix-Rotllant, Miquel; Filatov, Michael; Gozem, Samer
- Journal of Chemical Theory and Computation, Vol. 9, Issue 9
Benchmarks of electronically excited states: Basis set effects on CASPT2 results
journal, November 2010
- Silva-Junior, Mario R.; Schreiber, Marko; Sauer, Stephan P. A.
- The Journal of Chemical Physics, Vol. 133, Issue 17
Exact Density Functionals for Ground-State Energies. I. General Results
journal, June 1984
- Englisch, H.; Englisch, R.
- physica status solidi (b), Vol. 123, Issue 2
Restricted Ensemble-Referenced Kohn−Sham versus Broken Symmetry Approaches in Density Functional Theory: Magnetic Coupling in Cu Binuclear Complexes
journal, March 2007
- Moreira, Ibério de P. R.; Costa, Ramon; Filatov, Michael
- Journal of Chemical Theory and Computation, Vol. 3, Issue 3
Recovering dynamic correlation in spin flip configuration interaction through a difference dedicated approach
journal, January 2017
- Chien, Alan D.; Zimmerman, Paul M.
- The Journal of Chemical Physics, Vol. 146, Issue 1
Ensemble-Density functional theory for excited states
journal, March 1990
- Oliveira, L. N.; Gross, E. K. U.; Kohn, W.
- International Journal of Quantum Chemistry, Vol. 38, Issue S24
Evidence for Singlet Fission Driven by Vibronic Coherence in Crystalline Tetracene
journal, March 2017
- Morrison, Adrian F.; Herbert, John M.
- The Journal of Physical Chemistry Letters, Vol. 8, Issue 7
General SCF operator satisfying correct variational condition
journal, August 1973
- Hirao, K.; Nakatsuji, H.
- The Journal of Chemical Physics, Vol. 59, Issue 3
One - determinantal pure state versus ensemble Kohn-Sham solutions in the case of strong electron correlation: CH 2 and C 2
journal, September 1998
- Schipper, P. R. T.; Gritsenko, O. V.; Baerends, E. J.
- Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 99, Issue 5
Correlation‐consistent configuration interaction: Accurate bond dissociation energies from simple wave functions
journal, March 1988
- Carter, Emily A.; Goddard, William A.
- The Journal of Chemical Physics, Vol. 88, Issue 5
Exact Density Functionals for Ground-State Energies II. Details and Remarks
journal, July 1984
- Englisch, H.; Englisch, R.
- physica status solidi (b), Vol. 124, Issue 1
Exact ensemble density functional theory for excited states in a model system: Investigating the weight dependence of the correlation energy
journal, January 2017
- Deur, Killian; Mazouin, Laurent; Fromager, Emmanuel
- Physical Review B, Vol. 95, Issue 3
Fluorescence of Naphthacene Vapor
journal, October 1963
- Williams, R.; Goldsmith, G. J.
- The Journal of Chemical Physics, Vol. 39, Issue 8
Nature of ground and electronic excited states of higher acenes
journal, August 2016
- Yang, Yang; Davidson, Ernest R.; Yang, Weitao
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 35
Quantum Chemistry on Graphical Processing Units. 2. Direct Self-Consistent-Field Implementation
journal, March 2009
- Ufimtsev, Ivan S.; Martinez, Todd J.
- Journal of Chemical Theory and Computation, Vol. 5, Issue 4
Double spin-flip approach within equation-of-motion coupled cluster and configuration interaction formalisms: Theory, implementation, and examples
journal, January 2009
- Casanova, David; Slipchenko, Lyudmila V.; Krylov, Anna I.
- The Journal of Chemical Physics, Vol. 130, Issue 4
Is GVB-CI superior to CASSCF?
journal, July 1999
- Cullen, John
- Journal of Computational Chemistry, Vol. 20, Issue 10
On the exact formulation of multi-configuration density-functional theory: electron density versus orbitals occupation
journal, August 2014
- Fromager, Emmanuel
- Molecular Physics, Vol. 113, Issue 5
The Theory of Complex Spectra
journal, November 1929
- Slater, J. C.
- Physical Review, Vol. 34, Issue 10
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density
journal, January 1988
- Lee, Chengteh; Yang, Weitao; Parr, Robert G.
- Physical Review B, Vol. 37, Issue 2
First-Principles Quantum Dynamics of Singlet Fission: Coherent versus Thermally Activated Mechanisms Governed by Molecular Stacking
journal, August 2015
- Tamura, Hiroyuki; Huix-Rotllant, Miquel; Burghardt, Irene
- Physical Review Letters, Vol. 115, Issue 10
Shape of Multireference, Equation-of-Motion Coupled-Cluster, and Density Functional Theory Potential Energy Surfaces at a Conical Intersection
journal, June 2014
- Gozem, Samer; Melaccio, Federico; Valentini, Alessio
- Journal of Chemical Theory and Computation, Vol. 10, Issue 8
Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965
- Kohn, W.; Sham, L. J.
- Physical Review, Vol. 140, Issue 4A, p. A1133-A1138
Inhomogeneous Electron Gas
journal, March 1973
- Rajagopal, A. K.; Callaway, J.
- Physical Review B, Vol. 7, Issue 5
Singlet Fission
journal, April 2021
- Tykwinski, Rik R.; Guldi, Dirk M.
- ChemPhotoChem, Vol. 5, Issue 5
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density
text, January 1988
- Robert, Parr,; Chengteh, Lee,; Weitao, Yang,
- The University of North Carolina at Chapel Hill University Libraries
The Theory of Complex Spectra
journal, April 1932
- Shortley, George H.
- Physical Review, Vol. 40, Issue 2
The radical character of the acenes: A density matrix renormalization group study
text, January 2007
- Hachmann, Johannes; Dorando, Jonathan J.; Aviles, Michael
- arXiv
Progress in Time-Dependent Density-Functional Theory
text, January 2011
- Casida, M. E.; Huix-Rotllant, M.
- arXiv
On the exact formulation of multi-configuration density-functional theory: electron density versus orbitals occupation
text, January 2014
- Fromager, Emmanuel
- arXiv
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- The Journal of Chemical Physics, Vol. 150, Issue 18
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- The European Physical Journal B, Vol. 91, Issue 7
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journal, January 2020
- Patrizi, Barbara; Cozza, Concetta; Pietropaolo, Adriana
- Molecules, Vol. 25, Issue 2
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