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Title: Self-consistent charge embedding at very low cost, with application to symmetry-adapted perturbation theory

Abstract

Extended symmetry-adapted perturbation theory (XSAPT) uses a self-consistent charge embedding to capture many-body polarization, in conjunction with a pairwise-additive SAPT calculation of intermolecular interaction energies. The original implementation of XSAPT is based on charges that are fit to reproduce molecular electrostatic potentials, but this becomes a computational bottleneck in large systems. Charge embedding based on modified Hirshfeld atomic charges is reported here, which dramatically reduces the computational cost without compromising accuracy. Exemplary calculations are presented for supramolecular complexes such as C60@C60H28, a DNA intercalation complex, and a 323-atom model of a drug molecule bound to an enzyme active site. The proposed charge embedding should be useful in other fragment-based quantum chemistry methods as well.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. 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, and Biosciences Division
OSTI Identifier:
1604455
Alternate Identifier(s):
OSTI ID: 1542692
Grant/Contract Number:  
SC0008850; SC0008550
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 151; 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

Citation Formats

Liu, Kuan-Yu, Carter-Fenk, Kevin, and Herbert, John M. Self-consistent charge embedding at very low cost, with application to symmetry-adapted perturbation theory. United States: N. p., 2019. Web. doi:10.1063/1.5111869.
Liu, Kuan-Yu, Carter-Fenk, Kevin, & Herbert, John M. Self-consistent charge embedding at very low cost, with application to symmetry-adapted perturbation theory. United States. https://doi.org/10.1063/1.5111869
Liu, Kuan-Yu, Carter-Fenk, Kevin, and Herbert, John M. Tue . "Self-consistent charge embedding at very low cost, with application to symmetry-adapted perturbation theory". United States. https://doi.org/10.1063/1.5111869. https://www.osti.gov/servlets/purl/1604455.
@article{osti_1604455,
title = {Self-consistent charge embedding at very low cost, with application to symmetry-adapted perturbation theory},
author = {Liu, Kuan-Yu and Carter-Fenk, Kevin and Herbert, John M.},
abstractNote = {Extended symmetry-adapted perturbation theory (XSAPT) uses a self-consistent charge embedding to capture many-body polarization, in conjunction with a pairwise-additive SAPT calculation of intermolecular interaction energies. The original implementation of XSAPT is based on charges that are fit to reproduce molecular electrostatic potentials, but this becomes a computational bottleneck in large systems. Charge embedding based on modified Hirshfeld atomic charges is reported here, which dramatically reduces the computational cost without compromising accuracy. Exemplary calculations are presented for supramolecular complexes such as C60@C60H28, a DNA intercalation complex, and a 323-atom model of a drug molecule bound to an enzyme active site. The proposed charge embedding should be useful in other fragment-based quantum chemistry methods as well.},
doi = {10.1063/1.5111869},
journal = {Journal of Chemical Physics},
number = 3,
volume = 151,
place = {United States},
year = {Tue Jul 16 00:00:00 EDT 2019},
month = {Tue Jul 16 00:00:00 EDT 2019}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 18 works
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Figures / Tables:

FIG. 1 FIG. 1: Timing data for XSAPT(KS)+aiD/hp-TZVPP calculations on C60@C60H28 (4,592 basis functions), using either the original ChElPG implementation of XSAPT (left-hand bar in each pair, using data from Ref 21), or else the new CM5 implementation reported here (right-hand bars). Both calculations were parallelized across all 28 cores of amore » single compute node. The total calculation time is broken down into three color-coded steps: the XPol self-consistent field procedure (in red); pseudocanonicalization to transform the monomer MOs to a dimer basis (in blue); and finally the SAPT calculation (in green). Charge derivatives are required in all three steps and these timing data are separated out and depicted in purple. Orange bars represent the Gram-Schmidt orthogonalization contribution to the pseudocanonicalization step, where the multithreading has been improved in the present implementation as compared to the one reported in Ref. 21.« less

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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
  • DOI: 10.1021/jp5098603

Atomic charges of sulfur in ionic liquids: experiments and calculations
journal, January 2018

  • Fogarty, Richard M.; Rowe, Rebecca; Matthews, Richard P.
  • Faraday Discussions, Vol. 206
  • DOI: 10.1039/c7fd00155j

Pairwise additivity of energy components in protein-ligand binding: The HIV II protease-Indinavir case
journal, August 2011

  • Ucisik, Melek N.; Dashti, Danial S.; Faver, John C.
  • The Journal of Chemical Physics, Vol. 135, Issue 8
  • DOI: 10.1063/1.3624750

Corrected small basis set Hartree-Fock method for large systems
journal, May 2013

  • Sure, Rebecca; Grimme, Stefan
  • Journal of Computational Chemistry, Vol. 34, Issue 19
  • DOI: 10.1002/jcc.23317

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
  • DOI: 10.1002/wcms.84

A test of the Hirshfeld definition of atomic charges and moments
journal, January 1992

  • Davidson, Ernest R.; Chakravorty, Subhas
  • Theoretica Chimica Acta, Vol. 83, Issue 5-6
  • DOI: 10.1007/bf01113058

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
  • DOI: 10.1002/wcms.86

Standard grids for high-precision integration of modern density functionals: SG-2 and SG-3
journal, February 2017

  • Dasgupta, Saswata; Herbert, John M.
  • Journal of Computational Chemistry, Vol. 38, Issue 12
  • DOI: 10.1002/jcc.24761

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
  • DOI: 10.1039/c2cp24060b

Assessment and acceleration of binding energy calculations for protein-ligand complexes by the fragment molecular orbital method
journal, September 2015

  • Otsuka, Takao; Okimoto, Noriaki; Taiji, Makoto
  • Journal of Computational Chemistry, Vol. 36, Issue 30
  • DOI: 10.1002/jcc.24055

Unravelling the Origin of Intermolecular Interactions Using Absolutely Localized Molecular Orbitals
journal, September 2007

  • Khaliullin, Rustam Z.; Cobar, Erika A.; Lochan, Rohini C.
  • The Journal of Physical Chemistry A, Vol. 111, Issue 36
  • DOI: 10.1021/jp073685z

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
  • DOI: 10.1063/1.1924593

Advanced Corrections of Hydrogen Bonding and Dispersion for Semiempirical Quantum Mechanical Methods
journal, December 2011

  • Řezáč, Jan; Hobza, Pavel
  • Journal of Chemical Theory and Computation, Vol. 8, Issue 1
  • DOI: 10.1021/ct200751e

First-Principles Models for van der Waals Interactions in Molecules and Materials: Concepts, Theory, and Applications
journal, March 2017


Computational exploration of copper catalyzed vinylogous aerobic oxidation of unsaturated compounds
journal, January 2021


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
  • DOI: 10.1063/1.4862644

The Surprising Importance of Peptide Bond Contacts in Drug-Protein Interactions
journal, May 2017

  • Parrish, Robert M.; Sitkoff, Doree F.; Cheney, Daniel L.
  • Chemistry - A European Journal, Vol. 23, Issue 33
  • DOI: 10.1002/chem.201701031

Advances in molecular quantum chemistry contained in the Q-Chem 4 program package
journal, September 2014


Minimal Basis Iterative Stockholder: Atoms in Molecules for Force-Field Development
journal, July 2016

  • Verstraelen, Toon; Vandenbrande, Steven; Heidar-Zadeh, Farnaz
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 8
  • DOI: 10.1021/acs.jctc.6b00456

Experimental validation of calculated atomic charges in ionic liquids
journal, May 2018

  • Fogarty, Richard M.; Matthews, Richard P.; Ashworth, Claire R.
  • The Journal of Chemical Physics, Vol. 148, Issue 19
  • DOI: 10.1063/1.5011662

Determining atom-centered monopoles from molecular electrostatic potentials. The need for high sampling density in formamide conformational analysis
journal, April 1990

  • Breneman, Curt M.; Wiberg, Kenneth B.
  • Journal of Computational Chemistry, Vol. 11, Issue 3
  • DOI: 10.1002/jcc.540110311

Thirty years of density functional theory in computational chemistry: an overview and extensive assessment of 200 density functionals
journal, April 2017


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
  • DOI: 10.1021/jz301015p

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
  • DOI: 10.1002/wcms.1164

Turbomole
journal, July 2013

  • Furche, Filipp; Ahlrichs, Reinhart; Hättig, Christof
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 2
  • DOI: 10.1002/wcms.1162

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
  • DOI: 10.1021/ct2002946

Comprehensive Benchmark of Association (Free) Energies of Realistic Host–Guest Complexes
journal, July 2015

  • Sure, Rebecca; Grimme, Stefan
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 8
  • DOI: 10.1021/acs.jctc.5b00296

Fragment-based quantum mechanical calculation of protein-protein binding affinities
journal, April 2018

  • Wang, Yaqian; Liu, Jinfeng; Li, Jinjin
  • Journal of Computational Chemistry, Vol. 39, Issue 21
  • DOI: 10.1002/jcc.25236

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
  • DOI: 10.1021/acs.jctc.8b00527

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
  • DOI: 10.1021/acs.jpclett.9b01156

Application of the fragment molecular orbital method to discover novel natural products for prion disease
journal, August 2018


Charge Model 5: An Extension of Hirshfeld Population Analysis for the Accurate Description of Molecular Interactions in Gaseous and Condensed Phases
journal, February 2012

  • Marenich, Aleksandr V.; Jerome, Steven V.; Cramer, Christopher J.
  • Journal of Chemical Theory and Computation, Vol. 8, Issue 2, p. 527-541
  • DOI: 10.1021/ct200866d

Fragment Molecular Orbital Calculations with Implicit Solvent Based on the Poisson–Boltzmann Equation: II. Protein and Its Ligand-Binding System Studies
journal, December 2018

  • Okiyama, Yoshio; Watanabe, Chiduru; Fukuzawa, Kaori
  • The Journal of Physical Chemistry B, Vol. 123, Issue 5
  • DOI: 10.1021/acs.jpcb.8b09326

Theoretical Study of Protein–Ligand Interactions Using the Molecules-in-Molecules Fragmentation-Based Method
journal, August 2018

  • Thapa, Bishnu; Beckett, Daniel; Erickson, Jon
  • Journal of Chemical Theory and Computation, Vol. 14, Issue 10
  • DOI: 10.1021/acs.jctc.8b00531

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
  • DOI: 10.1021/acs.jctc.8b00058

Accurate Description of Intermolecular Interactions Involving Ions Using Symmetry-Adapted Perturbation Theory
journal, May 2015

  • Lao, Ka Un; Schäffer, Rainer; Jansen, Georg
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 6
  • DOI: 10.1021/ct5010593

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
  • DOI: 10.1021/jp003883p

On the effectiveness of monomer‐, dimer‐, and bond‐centered basis functions in calculations of intermolecular interaction energies
journal, November 1995

  • Williams, Hayes L.; Mas, Eric M.; Szalewicz, Krzysztof
  • The Journal of Chemical Physics, Vol. 103, Issue 17
  • DOI: 10.1063/1.470309

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
  • DOI: 10.1021/ct5003225

Consistent structures and interactions by density functional theory with small atomic orbital basis sets
journal, August 2015

  • Grimme, Stefan; Brandenburg, Jan Gerit; Bannwarth, Christoph
  • The Journal of Chemical Physics, Vol. 143, Issue 5
  • DOI: 10.1063/1.4927476

Periodic boundary conditions for QM/MM calculations: Ewald summation for extended Gaussian basis sets
journal, December 2013

  • Holden, Zachary C.; Richard, Ryan M.; Herbert, John M.
  • The Journal of Chemical Physics, Vol. 139, Issue 24
  • DOI: 10.1063/1.4850655

The variational explicit polarization potential and analytical first derivative of energy: Towards a next generation force field
journal, June 2008

  • Xie, Wangshen; Song, Lingchun; Truhlar, Donald G.
  • The Journal of Chemical Physics, Vol. 128, Issue 23
  • DOI: 10.1063/1.2936122

Fragment molecular orbital study of the binding energy of ligands to the estrogen receptor
journal, January 2003

  • Fukuzawa, Kaori; Kitaura, Kazuo; Nakata, K.
  • Pure and Applied Chemistry, Vol. 75, Issue 11-12
  • DOI: 10.1351/pac200375112405

Minimal Basis Iterative Stockholder: Atoms in Molecules for Force-Field Development
text, January 2016


Works referencing / citing this record:

Fantasy versus reality in fragment-based quantum chemistry
journal, November 2019

  • Herbert, John M.
  • The Journal of Chemical Physics, Vol. 151, Issue 17
  • DOI: 10.1063/1.5126216

Recent developments in symmetry‐adapted perturbation theory
journal, November 2019

  • Patkowski, Konrad
  • WIREs Computational Molecular Science, Vol. 10, Issue 3
  • DOI: 10.1002/wcms.1452

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