Simplified tuning of long-range corrected density functionals for use in symmetry-adapted perturbation theory
Abstract
Long considered a failure, second-order symmetry-adapted perturbation theory (SAPT) based on Kohn–Sham orbitals, or SAPT0(KS), can be resurrected for semiquantitative purposes using long-range corrected density functionals whose asymptotic behavior is adjusted separately for each monomer. As in other contexts, correct asymptotic behavior can be enforced via “optimal tuning” based on the ionization energy theorem of density functional theory, but the tuning procedure is tedious, expensive for large systems, and comes with a troubling dependence on system size. Here, we show that essentially identical results are obtained using a fast, convenient, and automated tuning procedure based on the size of the exchange hole. In conjunction with “extended” (X)SAPT methods that improve the description of dispersion, this procedure achieves benchmark-quality interaction energies, along with the usual SAPT energy decomposition, without the hassle of system-specific tuning.
- Authors:
-
- The Ohio State Univ., Columbus, OH (United States)
- Publication Date:
- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division; USDOE
- OSTI Identifier:
- 1833484
- Alternate Identifier(s):
- OSTI ID: 1808213
- Grant/Contract Number:
- SC0008550
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 155; Journal Issue: 3; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; Ions and properties; HOMO and LUMO; Correlation-consistent basis sets; Dispersion; Amino acid; Chemical bonding; Perturbation theory; Nanoribbons; Density functional theory; Coupled-cluster methods
Citation Formats
Gray, Montgomery, and Herbert, John M. Simplified tuning of long-range corrected density functionals for use in symmetry-adapted perturbation theory. United States: N. p., 2021.
Web. doi:10.1063/5.0059364.
Gray, Montgomery, & Herbert, John M. Simplified tuning of long-range corrected density functionals for use in symmetry-adapted perturbation theory. United States. https://doi.org/10.1063/5.0059364
Gray, Montgomery, and Herbert, John M. Thu .
"Simplified tuning of long-range corrected density functionals for use in symmetry-adapted perturbation theory". United States. https://doi.org/10.1063/5.0059364. https://www.osti.gov/servlets/purl/1833484.
@article{osti_1833484,
title = {Simplified tuning of long-range corrected density functionals for use in symmetry-adapted perturbation theory},
author = {Gray, Montgomery and Herbert, John M.},
abstractNote = {Long considered a failure, second-order symmetry-adapted perturbation theory (SAPT) based on Kohn–Sham orbitals, or SAPT0(KS), can be resurrected for semiquantitative purposes using long-range corrected density functionals whose asymptotic behavior is adjusted separately for each monomer. As in other contexts, correct asymptotic behavior can be enforced via “optimal tuning” based on the ionization energy theorem of density functional theory, but the tuning procedure is tedious, expensive for large systems, and comes with a troubling dependence on system size. Here, we show that essentially identical results are obtained using a fast, convenient, and automated tuning procedure based on the size of the exchange hole. In conjunction with “extended” (X)SAPT methods that improve the description of dispersion, this procedure achieves benchmark-quality interaction energies, along with the usual SAPT energy decomposition, without the hassle of system-specific tuning.},
doi = {10.1063/5.0059364},
journal = {Journal of Chemical Physics},
number = 3,
volume = 155,
place = {United States},
year = {Thu Jul 15 00:00:00 EDT 2021},
month = {Thu Jul 15 00:00:00 EDT 2021}
}
Works referenced in this record:
Accurate and Efficient Quantum Chemistry Calculations for Noncovalent Interactions in Many-Body Systems: The XSAPT Family of Methods
journal, December 2014
- Lao, Ka Un; Herbert, John M.
- The Journal of Physical Chemistry A, Vol. 119, Issue 2
Self-consistent charge embedding at very low cost, with application to symmetry-adapted perturbation theory
journal, July 2019
- Liu, Kuan-Yu; Carter-Fenk, Kevin; Herbert, John M.
- The Journal of Chemical Physics, Vol. 151, Issue 3
Shape corrections to exchange-correlation potentials by gradient-regulated seamless connection of model potentials for inner and outer region
journal, January 2001
- Grüning, M.; Gritsenko, O. V.; van Gisbergen, S. J. A.
- The Journal of Chemical Physics, Vol. 114, Issue 2
Property-optimized Gaussian basis sets for molecular response calculations
journal, October 2010
- Rappoport, Dmitrij; Furche, Filipp
- The Journal of Chemical Physics, Vol. 133, Issue 13
Perspectives on Basis Sets Beautiful: Seasonal Plantings of Diffuse Basis Functions
journal, August 2011
- Papajak, Ewa; Zheng, Jingjing; Xu, Xuefei
- Journal of Chemical Theory and Computation, Vol. 7, Issue 10
Wavefunction methods for noncovalent interactions: Noncovalent interactions
journal, July 2011
- Hohenstein, Edward G.; Sherrill, C. David
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 2, Issue 2
Exchange-hole dipole moment and the dispersion interaction
journal, April 2005
- Becke, Axel D.; Johnson, Erin R.
- The Journal of Chemical Physics, Vol. 122, Issue 15
Symmetry-adapted perturbation theory of intermolecular forces: Symmetry-adapted perturbation theory
journal, August 2011
- Szalewicz, Krzysztof
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 2, Issue 2
Efficient calculation of coupled Kohn–Sham dynamic susceptibility functions and dispersion energies with density fitting
journal, October 2005
- Bukowski, Robert; Podeszwa, Rafał; Szalewicz, Krzysztof
- Chemical Physics Letters, Vol. 414, Issue 1-3
Coupled cluster benchmarks of large noncovalent complexes: The L7 dataset as well as DNA–ellipticine and buckycatcher–fullerene
journal, April 2021
- Ballesteros, Francisco; Dunivan, Shelbie; Lao, Ka Un
- The Journal of Chemical Physics, Vol. 154, Issue 15
Impact of Electron Delocalization on the Nature of the Charge-Transfer States in Model Pentacene/C 60 Interfaces: A Density Functional Theory Study
journal, November 2014
- Yang, Bing; Yi, Yuanping; Zhang, Cai-Rong
- The Journal of Physical Chemistry C, Vol. 118, Issue 48
Rapid computation of intermolecular interactions in molecular and ionic clusters: self-consistent polarization plus symmetry-adapted perturbation theory
journal, January 2012
- Herbert, John M.; Jacobson, Leif D.; Un Lao, Ka
- Physical Chemistry Chemical Physics, Vol. 14, Issue 21
Applications of large-scale density functional theory in biology
journal, August 2016
- Cole, Daniel J.; Hine, Nicholas D. M.
- Journal of Physics: Condensed Matter, Vol. 28, Issue 39
A Teenager and his Mother
journal, December 2014
- Horowitz, Sandra
- Journal of Clinical Sleep Medicine, Vol. 10, Issue 12
Symmetry-adapted perturbation-theory calculations of intermolecular forces employing density-functional description of monomers
journal, June 2005
- Misquitta, Alston J.; Szalewicz, Krzysztof
- The Journal of Chemical Physics, Vol. 122, Issue 21
Density-functional theory-symmetry-adapted intermolecular perturbation theory with density fitting: A new efficient method to study intermolecular interaction energies
journal, January 2005
- Heßelmann, A.; Jansen, G.; Schütz, M.
- The Journal of Chemical Physics, Vol. 122, Issue 1
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
Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions
journal, May 1992
- Kendall, Rick A.; Dunning, Thom H.; Harrison, Robert J.
- The Journal of Chemical Physics, Vol. 96, Issue 9
Accuracy of Quantum Chemical Methods for Large Noncovalent Complexes
journal, July 2013
- Sedlak, Robert; Janowski, Tomasz; Pitoňák, Michal
- Journal of Chemical Theory and Computation, Vol. 9, Issue 8
Levels of symmetry adapted perturbation theory (SAPT). I. Efficiency and performance for interaction energies
journal, March 2014
- Parker, Trent M.; Burns, Lori A.; Parrish, Robert M.
- The Journal of Chemical Physics, Vol. 140, Issue 9
Ab Initio Quantum Chemistry for Protein Structures
journal, October 2012
- Kulik, Heather J.; Luehr, Nathan; Ufimtsev, Ivan S.
- The Journal of Physical Chemistry B, Vol. 116, Issue 41
Symmetry-adapted perturbation theory with Kohn-Sham orbitals using non-empirically tuned, long-range-corrected density functionals
journal, January 2014
- Lao, Ka Un; Herbert, John M.
- The Journal of Chemical Physics, Vol. 140, Issue 4
Reliable Prediction of Charge Transfer Excitations in Molecular Complexes Using Time-Dependent Density Functional Theory
journal, March 2009
- Stein, Tamar; Kronik, Leeor; Baer, Roi
- Journal of the American Chemical Society, Vol. 131, Issue 8
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package
journal, September 2014
- Shao, Yihan; Gan, Zhengting; Epifanovsky, Evgeny
- Molecular Physics, Vol. 113, Issue 2
Recent developments in symmetry‐adapted perturbation theory
journal, November 2019
- Patkowski, Konrad
- WIREs Computational Molecular Science, Vol. 10, Issue 3
Oligoacenes: Theoretical Prediction of Open-Shell Singlet Diradical Ground States
journal, June 2004
- Bendikov, Michael; Duong, Hieu M.; Starkey, Kyle
- Journal of the American Chemical Society, Vol. 126, Issue 24
An improved treatment of empirical dispersion and a many-body energy decomposition scheme for the explicit polarization plus symmetry-adapted perturbation theory (XSAPT) method
journal, July 2013
- Lao, Ka Un; Herbert, John M.
- The Journal of Chemical Physics, Vol. 139, Issue 3
Charge Separation and Charge Transfer in the Low-Lying Excited States of Pentacene
journal, October 2020
- Alam, Bushra; Morrison, Adrian F.; Herbert, John M.
- The Journal of Physical Chemistry C, Vol. 124, Issue 45
Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy
journal, January 2005
- Weigend, Florian; Ahlrichs, Reinhart
- Physical Chemistry Chemical Physics, Vol. 7, Issue 18, p. 3297-3305
Long-range correlation energy calculated from coupled atomic response functions
journal, May 2014
- Ambrosetti, Alberto; Reilly, Anthony M.; DiStasio, Robert A.
- The Journal of Chemical Physics, Vol. 140, Issue 18
Symmetry‐adapted perturbation theory based on density functional theory for noncovalent interactions
journal, August 2013
- Jansen, Georg
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 2
Accurate Intermolecular Interactions at Dramatically Reduced Cost: XPol+SAPT with Empirical Dispersion
journal, October 2012
- Lao, Ka Un; Herbert, John M.
- The Journal of Physical Chemistry Letters, Vol. 3, Issue 22
S66: A Well-balanced Database of Benchmark Interaction Energies Relevant to Biomolecular Structures
journal, July 2011
- Řezáč, Jan; Riley, Kevin E.; Hobza, Pavel
- Journal of Chemical Theory and Computation, Vol. 7, Issue 8
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
A simple measure of electron localization in atomic and molecular systems
journal, May 1990
- Becke, A. D.; Edgecombe, K. E.
- The Journal of Chemical Physics, Vol. 92, Issue 9
A Simple Correction for Nonadditive Dispersion within Extended Symmetry-Adapted Perturbation Theory (XSAPT)
journal, August 2018
- Lao, Ka Un; Herbert, John M.
- Journal of Chemical Theory and Computation, Vol. 14, Issue 10
Accurate and Efficient ab Initio Calculations for Supramolecular Complexes: Symmetry-Adapted Perturbation Theory with Many-Body Dispersion
journal, May 2019
- Carter-Fenk, Kevin; Lao, Ka Un; Liu, Kuan-Yu
- The Journal of Physical Chemistry Letters, Vol. 10, Issue 11
Density-Dependent Onset of the Long-Range Exchange: A Key to Donor–Acceptor Properties
journal, November 2013
- Modrzejewski, Marcin; Rajchel, Łukasz; Chalasinski, Grzegorz
- The Journal of Physical Chemistry A, Vol. 117, Issue 45
Explicit Polarization: A Quantum Mechanical Framework for Developing Next Generation Force Fields
journal, July 2014
- Gao, Jiali; Truhlar, Donald G.; Wang, Yingjie
- Accounts of Chemical Research, Vol. 47, Issue 9
Size-Dependence of Nonempirically Tuned DFT Starting Points for G 0 W 0 Applied to π-Conjugated Molecular Chains
journal, September 2017
- Bois, Juliana; Körzdörfer, Thomas
- Journal of Chemical Theory and Computation, Vol. 13, Issue 10
Electrostatic considerations affecting the calculated HOMO–LUMO gap in protein molecules
journal, March 2013
- Lever, Greg; Cole, Daniel J.; Hine, Nicholas D. M.
- Journal of Physics: Condensed Matter, Vol. 25, Issue 15
Improving virtual Kohn–Sham orbitals and eigenvalues: Application to excitation energies and static polarizabilities
journal, December 1998
- Tozer, David J.; Handy, Nicholas C.
- The Journal of Chemical Physics, Vol. 109, Issue 23
Time-Dependent Density-Functional Description of the 1 L a State in Polycyclic Aromatic Hydrocarbons: Charge-Transfer Character in Disguise?
journal, April 2011
- Richard, Ryan M.; Herbert, John M.
- Journal of Chemical Theory and Computation, Vol. 7, Issue 5
Charge-Transfer Excitations: A Challenge for Time-Dependent Density Functional Theory That Has Been Met
journal, May 2017
- Kümmel, Stephan
- Advanced Energy Materials, Vol. 7, Issue 16
Tuned range-separated hybrid functionals in the symmetry-adapted perturbation theory
journal, October 2014
- Hapka, Michał; Rajchel, Łukasz; Modrzejewski, Marcin
- The Journal of Chemical Physics, Vol. 141, Issue 13
Long-range corrected hybrid functionals for π-conjugated systems: Dependence of the range-separation parameter on conjugation length
journal, November 2011
- Körzdörfer, Thomas; Sears, John S.; Sutton, Christopher
- The Journal of Chemical Physics, Vol. 135, Issue 20
Atomic Orbital Implementation of Extended Symmetry-Adapted Perturbation Theory (XSAPT) and Benchmark Calculations for Large Supramolecular Complexes
journal, April 2018
- Lao, Ka Un; Herbert, John M.
- Journal of Chemical Theory and Computation, Vol. 14, Issue 6
Charge-Transfer Excited States in a π-Stacked Adenine Dimer, As Predicted Using Long-Range-Corrected Time-Dependent Density Functional Theory
journal, May 2008
- Lange, Adrian W.; Rohrdanz, Mary A.; Herbert, John M.
- The Journal of Physical Chemistry B, Vol. 112, Issue 20
Using Kohn−Sham Orbitals in Symmetry-Adapted Perturbation Theory to Investigate Intermolecular Interactions
journal, January 2001
- Williams, Hayes L.; Chabalowski, Cary F.
- The Journal of Physical Chemistry A, Vol. 105, Issue 3
Both Intra- and Interstrand Charge-Transfer Excited States in Aqueous B-DNA Are Present at Energies Comparable To, or Just Above, the 1 ππ* Excitonic Bright States
journal, March 2009
- Lange, Adrian W.; Herbert, John M.
- Journal of the American Chemical Society, Vol. 131, Issue 11
Tuned Range-Separated Hybrids in Density Functional Theory
journal, March 2010
- Baer, Roi; Livshits, Ester; Salzner, Ulrike
- Annual Review of Physical Chemistry, Vol. 61, Issue 1
Fully ab initio protein-ligand interaction energies with dispersion corrected density functional theory
journal, May 2012
- Antony, Jens; Grimme, Stefan
- Journal of Computational Chemistry, Vol. 33, Issue 21
Comment on “Using Kohn−Sham Orbitals in Symmetry-Adapted Perturbation Theory To Investigate Intermolecular Interactions”
journal, December 2001
- Jansen, Georg; Hesselmann, Andreas
- The Journal of Physical Chemistry A, Vol. 105, Issue 49
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
Nine questions on energy decomposition analysis
journal, June 2019
- Andrés, Juan; Ayers, Paul W.; Boto, Roberto A.
- Journal of Computational Chemistry, Vol. 40, Issue 26
An efficient, fragment-based electronic structure method for molecular systems: Self-consistent polarization with perturbative two-body exchange and dispersion
journal, March 2011
- Jacobson, Leif D.; Herbert, John M.
- The Journal of Chemical Physics, Vol. 134, Issue 9
The Charge Transfer Problem in Density Functional Theory Calculations of Aqueously Solvated Molecules
journal, October 2013
- Isborn, Christine M.; Mar, Brendan D.; Curchod, Basile F. E.
- The Journal of Physical Chemistry B, Vol. 117, Issue 40
Optical Spectroscopy of the Bulk and Interfacial Hydrated Electron from Ab Initio Calculations
journal, March 2014
- Uhlig, Frank; Herbert, John M.; Coons, Marc P.
- The Journal of Physical Chemistry A, Vol. 118, Issue 35
Energy Decomposition Analysis with a Stable Charge-Transfer Term for Interpreting Intermolecular Interactions
journal, May 2016
- Lao, Ka Un; Herbert, John M.
- Journal of Chemical Theory and Computation, Vol. 12, Issue 6
Erratum: “An improved treatment of empirical dispersion and a many-body energy decomposition scheme for the explicit polarization plus symmetry-adapted perturbation theory (XSAPT) method” [J. Chem. Phys. 139, 034107 (2013)]
journal, March 2014
- Lao, Ka Un; Herbert, John M.
- The Journal of Chemical Physics, Vol. 140, Issue 11
Chemical content of the kinetic energy density
journal, August 2000
- Schmider, H. L.; Becke, A. D.
- Journal of Molecular Structure: THEOCHEM, Vol. 527, Issue 1-3
Application of Diffusion Monte Carlo to Materials Dominated by van der Waals Interactions
journal, June 2014
- Benali, Anouar; Shulenburger, Luke; Romero, Nichols A.
- Journal of Chemical Theory and Computation, Vol. 10, Issue 8
Difficulties in applying pure Kohn–Sham density functional theory electronic structure methods to protein molecules
journal, January 2012
- Rudberg, Elias
- Journal of Physics: Condensed Matter, Vol. 24, Issue 7
Charge-transfer excitations in low-gap systems under the influence of solvation and conformational disorder: Exploring range-separation tuning
journal, August 2014
- de Queiroz, Thiago B.; Kümmel, Stephan
- The Journal of Chemical Physics, Vol. 141, Issue 8
Simultaneous benchmarking of ground- and excited-state properties with long-range-corrected density functional theory
journal, July 2008
- Rohrdanz, Mary A.; Herbert, John M.
- The Journal of Chemical Physics, Vol. 129, Issue 3