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

Title: Atomic Orbital Implementation of Extended Symmetry-Adapted Perturbation Theory (XSAPT) and Benchmark Calculations for Large Supramolecular Complexes

Journal Article · · Journal of Chemical Theory and Computation

We report an implementation of extended symmetry-adapted perturbation theory (XSAPT) in the atomic orbital basis, extending this method to systems where the monomers are large. In our “XSAPT(KS)” approach, monomers are described using range-separated Kohn–Sham (KS) density functional theory (DFT), with correct asymptotic behavior set by tuning the range-separation parameter ω in a monomer-specific way. This is accomplished either by conventional ionization potential (IP)-based tuning, in which ω is adjusted to satisfy the condition εHOMO(ω) = -IP(ω), or else using a “global density-dependent” (GDD) condition, in which ω is fixed based on the size of the exchange hole. The latter procedure affords better results for both total interaction energies and energy components, when used in conjunction with our third-generation pairwise atom–atom dispersion potential (+aiD3). Three-body (triatomic) dispersion terms are found to be important when the monomers are large, and we incorporate these by means of an Axilrod–Teller–Muto term, Edisp,3BATM, which reduces errors in supramolecular interaction energies by about a factor of 2. The XSAPT(KS) + aiD3 + Edisp,3BATM(ωGDD) approach affords mean absolute errors as low as 1.2 and 4.2 kcal/mol, respectively, for the L7 and S12L benchmark test sets of large dimers. Such errors are comparable to those afforded by far more expensive methods, such as DFT-SAPT, and the closely related second-order perturbation theory with coupled dispersion (MP2C). We also survey the performance of various other quantum-chemical methods for these data sets and identify several semiempirical and DFT-based approaches whose accuracy approaches that of MP2C, at dramatically reduced cost.

Research Organization:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0008850
OSTI ID:
1604462
Journal Information:
Journal of Chemical Theory and Computation, Vol. 14, Issue 6; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 42 works
Citation information provided by
Web of Science

References (181)

Shape corrections to exchange-correlation potentials by gradient-regulated seamless connection of model potentials for inner and outer region journal January 2001
Accelerating MP2C dispersion corrections for dimers and molecular crystals journal June 2013
Two- and three-body interatomic dispersion energy contributions to binding in molecules and solids journal June 2010
Using optimally tuned range separated hybrid functionals in ground-state calculations: Consequences and caveats journal May 2013
Rapid computation of intermolecular interactions in molecular and ionic clusters: self-consistent polarization plus symmetry-adapted perturbation theory journal January 2012
Tractability gains in symmetry-adapted perturbation theory including coupled double excitations: CCD+ST(CCD) dispersion with natural orbital truncations journal November 2013
Noncovalent π⋅⋅⋅π interaction between graphene and aromatic molecule: Structure, energy, and nature journal March 2014
Linear-scaling symmetry-adapted perturbation theory with scaled dispersion journal November 2013
Dynamic polarizability, dispersion coefficient C 6 and dispersion energy in the effective fragment potential method journal January 2005
Single-determinant-based symmetry-adapted perturbation theory without single-exchange approximation journal September 2013
Communication: Density functional theory overcomes the failure of predicting intermolecular interaction energies journal April 2012
Non-covalent interactions and thermochemistry using XDM-corrected hybrid and range-separated hybrid density functionals journal May 2013
Interatomic methods for the dispersion energy derived from the adiabatic connection fluctuation-dissipation theorem journal February 2013
Intermolecular forces from asymptotically corrected density functional description of monomers journal May 2002
Accurate description of van der Waals complexes by density functional theory including empirical corrections journal January 2004
Improved second-order Møller–Plesset perturbation theory by separate scaling of parallel- and antiparallel-spin pair correlation energies journal May 2003
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package journal September 2014
Perturbation Theory Approach to Intermolecular Potential Energy Surfaces of van der Waals Complexes journal November 1994
Benchmarking of London Dispersion-Accounting Density Functional Theory Methods on Very Large Molecular Complexes journal February 2013
State of the Art in Counterpoise Theory journal November 1994
Exchange-hole dipole moment and the dispersion interaction: High-order dispersion coefficients journal January 2006
Erratum: “Periodic boundary conditions for QM/MM calculations: Ewald summation for extended Gaussian basis sets” [J. Chem. Phys. 139 , 244108 (2013)] journal February 2015
Second-order Møller–Plesset calculations with dual basis sets journal June 2003
Convergence of the Interaction Energies in Noncovalent Complexes in the Coupled-Cluster Methods Up to Full Configuration Interaction journal July 2013
Effect of the damping function in dispersion corrected density functional theory journal March 2011
Symmetry‐adapted perturbation theory based on density functional theory for noncovalent interactions journal August 2013
Assessment of density functional methods with correct asymptotic behavior journal January 2013
Attenuated second-order Møller–Plesset perturbation theory: performance within the aug-cc-pVTZ basis journal January 2013
A New Era for ab initio Molecular Crystal Lattice Energy Prediction journal October 2014
Symmetry-adapted perturbation theory of three-body nonadditivity of intermolecular interaction energy journal June 1997
Comparative Study of Selected Wave Function and Density Functional Methods for Noncovalent Interaction Energy Calculations Using the Extended S22 Data Set journal July 2010
Long-range corrected hybrid functionals for π-conjugated systems: Dependence of the range-separation parameter on conjugation length journal November 2011
Mapping the genome of meta-generalized gradient approximation density functionals: The search for B97M-V journal February 2015
Accurate Description of Intermolecular Interactions Involving Ions Using Symmetry-Adapted Perturbation Theory journal May 2015
Using Kohn−Sham Orbitals in Symmetry-Adapted Perturbation Theory to Investigate Intermolecular Interactions journal January 2001
On the effectiveness of monomer‐, dimer‐, and bond‐centered basis functions in calculations of intermolecular interaction energies journal November 1995
Screened Electrostatically Embedded Many-Body Method journal August 2011
An efficient, fragment-based electronic structure method for molecular systems: Self-consistent polarization with perturbative two-body exchange and dispersion journal March 2011
Pair-Wise and Many-Body Dispersive Interactions Coupled to an Optimally Tuned Range-Separated Hybrid Functional journal July 2013
An efficient and near linear scaling pair natural orbital based local coupled cluster method journal January 2013
Accurate and Efficient Quantum Chemistry Calculations for Noncovalent Interactions in Many-Body Systems: The XSAPT Family of Methods journal December 2014
Spiers Memorial Lecture. Intermolecular forces journal January 1965
Corrected small basis set Hartree-Fock method for large systems journal May 2013
Exchange-hole dipole moment and the dispersion interaction revisited journal October 2007
Interaction of the van der Waals Type Between Three Atoms journal June 1943
Wavefunction methods for noncovalent interactions: Noncovalent interactions
  • Hohenstein, Edward G.; Sherrill, C. David
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 2, Issue 2 https://doi.org/10.1002/wcms.84
journal July 2011
Exchange-hole dipole moment and the dispersion interaction journal April 2005
Exchange-correlation potential with correct asymptotic behavior journal April 1994
Symmetry-adapted perturbation theory of intermolecular forces: Symmetry-adapted perturbation theory journal August 2011
Low-Cost Quantum Chemical Methods for Noncovalent Interactions journal November 2014
Standard grids for high-precision integration of modern density functionals: SG-2 and SG-3 journal February 2017
The ORCA program system: The ORCA program system journal June 2011
Extension of the Hartree−Fock Plus Dispersion Method by First-Order Correlation Effects journal December 2009
Many‐body perturbation theory of electrostatic interactions between molecules: Comparison with full configuration interaction for four‐electron dimers journal December 1993
Benchmark database of accurate (MP2 and CCSD(T) complete basis set limit) interaction energies of small model complexes, DNA base pairs, and amino acid pairs journal January 2006
Quantum Chemical Benchmark Study on 46 RNA Backbone Families Using a Dinucleotide Unit journal September 2015
Density fitting of intramonomer correlation effects in symmetry-adapted perturbation theory journal July 2010
Substituent effects in the π⋯π interaction between graphene and benzene: An indication for the noncovalent functionalization of graphene journal October 2014
First-Principles Models for van der Waals Interactions in Molecules and Materials: Concepts, Theory, and Applications journal March 2017
Accurate Molecular Van Der Waals Interactions from Ground-State Electron Density and Free-Atom Reference Data journal February 2009
Accuracy of Quantum Chemical Methods for Large Noncovalent Complexes journal July 2013
Levels of symmetry adapted perturbation theory (SAPT). I. Efficiency and performance for interaction energies journal March 2014
A coupled cluster treatment of intramonomer electron correlation within symmetry-adapted perturbation theory: benchmark calculations and a comparison with a density-functional theory description journal December 2013
Beyond pairwise additivity in London dispersion interactions journal February 2014
The inhibition of iridium-promoted water oxidation catalysis (WOC) by cucurbit[n]urils journal January 2012
Psi4: an open-source ab initio electronic structure program : Psi4: an electronic structure program
  • Turney, Justin M.; Simmonett, Andrew C.; Parrish, Robert M.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 2, Issue 4 https://doi.org/10.1002/wcms.93
journal October 2011
Understanding Molecular Crystals with Dispersion-Inclusive Density Functional Theory: Pairwise Corrections and Beyond journal June 2014
Communication: Resolving the three-body contribution to the lattice energy of crystalline benzene: Benchmark results from coupled-cluster theory journal March 2014
Erratum to “S66: A Well-balanced Database of Benchmark Interaction Energies Relevant to Biomolecular Structures” journal February 2014
Benchmark quantum-chemical calculations on a complete set of rotameric families of the DNA sugar–phosphate backbone and their comparison with modern density functional theory journal January 2013
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
Semiempirical Quantum Mechanical Methods for Noncovalent Interactions for Chemical and Biochemical Applications journal April 2016
Hard Numbers for Large Molecules: Toward Exact Energetics for Supramolecular Systems journal February 2014
Dispersion Interactions with Density-Functional Theory: Benchmarking Semiempirical and Interatomic Pairwise Corrected Density Functionals journal October 2011
Supramolecular Binding Thermodynamics by Dispersion-Corrected Density Functional Theory journal July 2012
Highly Accurate Coupled Cluster Potential Energy Curves for the Benzene Dimer:  Sandwich, T-Shaped, and Parallel-Displaced Configurations journal November 2004
Comprehensive Benchmark of Association (Free) Energies of Realistic Host–Guest Complexes journal July 2015
Higher-accuracy van der Waals density functional journal August 2010
A benchmark for non-covalent interactions in solids journal August 2012
Describing Noncovalent Interactions beyond the Common Approximations: How Accurate Is the “Gold Standard,” CCSD(T) at the Complete Basis Set Limit? journal April 2013
Natural triple excitations in local coupled cluster calculations with pair natural orbitals journal October 2013
ω B97M-V: A combinatorially optimized, range-separated hybrid, meta-GGA density functional with VV10 nonlocal correlation journal June 2016
Benchmark Calculations of Three-Body Intermolecular Interactions and the Performance of Low-Cost Electronic Structure Methods journal June 2015
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
Predicting Energetics of Supramolecular Systems Using the XDM Dispersion Model journal August 2015
Dual-basis second-order Møller-Plesset perturbation theory: A reduced-cost reference for correlation calculations journal August 2006
Using dispersion-corrected density functional theory to understand supramolecular binding thermodynamics journal January 2015
Quantum Mechanical Calculation of Noncovalent Interactions: A Large-Scale Evaluation of PMx, DFT, and SAPT Approaches journal March 2014
Energy Decomposition Analysis with a Stable Charge-Transfer Term for Interpreting Intermolecular Interactions journal May 2016
A standard grid for density functional calculations journal July 1993
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
Organic Electronic Materials: Recent Advances in the DFT Description of the Ground and Excited States Using Tuned Range-Separated Hybrid Functionals journal April 2014
Consistent structures and interactions by density functional theory with small atomic orbital basis sets journal August 2015
Benchmark Study of the Performance of Density Functional Theory for Bond Activations with (Ni,Pd)-Based Transition-Metal Catalysts journal June 2013
Improved supermolecular second order Møller–Plesset intermolecular interaction energies using time-dependent density functional response theory journal April 2008
Breakdown of the Single-Exchange Approximation in Third-Order Symmetry-Adapted Perturbation Theory journal December 2011
Extending the applicability of the Tkatchenko-Scheffler dispersion correction via iterative Hirshfeld partitioning journal July 2014
Intermolecular symmetry-adapted perturbation theory study of large organic complexes journal September 2014
Efficient Calculations of Dispersion Energies for Nanoscale Systems from Coupled Density Response Functions journal May 2012
Effects of London dispersion correction in density functional theory on the structures of organic molecules in the gas phase journal January 2013
Density-fitted open-shell symmetry-adapted perturbation theory and application to π -stacking in benzene dimer cation and ionized DNA base pair steps journal October 2016
Accurate Intermolecular Interaction Energies from a Combination of MP2 and TDDFT Response Theory journal December 2009
First-Order perturbation treatment of the short-range repulsion in a system of many closed-shell atoms or molecules journal March 1976
Blind Prediction of Binding Affinities for Charged Supramolecular Host–Guest Systems: Achievements and Shortcomings of DFT-D3 journal January 2014
Symmetry-adapted perturbation theory based on unrestricted Kohn-Sham orbitals for high-spin open-shell van der Waals complexes journal October 2012
Critical analysis and extension of the Hirshfeld atoms in molecules journal April 2007
Dispersion-Corrected Density Functional Theory for Aromatic Interactions in Complex Systems journal June 2012
Symmetry-adapted perturbation theory utilizing density functional description of monomers for high-spin open-shell complexes journal August 2008
The COSMO and COSMO-RS solvation models: The COSMO and COSMO-RS solvation models journal April 2011
A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu journal April 2010
Bonded-atom fragments for describing molecular charge densities journal January 1977
Three-body symmetry-adapted perturbation theory based on Kohn-Sham description of the monomers journal May 2007
Long-range corrected hybrid density functionals with damped atom–atom dispersion corrections journal January 2008
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
Collective many-body van der Waals interactions in molecular systems journal August 2012
Assessment of a Nonlocal Correction Scheme to Semilocal Density Functional Theory Methods journal November 2012
S66: A Well-balanced Database of Benchmark Interaction Energies Relevant to Biomolecular Structures journal July 2011
New accurate benchmark energies for large water clusters: DFT is better than expected journal January 2014
First-Principles Modeling of Non-Covalent Interactions in Supramolecular Systems: The Role of Many-Body Effects journal October 2012
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
Explicit Polarization: A Quantum Mechanical Framework for Developing Next Generation Force Fields journal July 2014
Density-Dependent Onset of the Long-Range Exchange: A Key to Donor–Acceptor Properties journal November 2013
Density-functional approach to the three-body dispersion interaction based on the exchange dipole moment journal August 2015
Dispersion-Corrected Mean-Field Electronic Structure Methods journal April 2016
Seamless and Accurate Modeling of Organic Molecular Materials journal March 2013
A density-functional model of the dispersion interaction journal October 2005
Inclusion complexes of buckycatcher with C60 and C70 journal January 2010
Density functional theory with London dispersion corrections: Density functional theory with London dispersion corrections journal March 2011
Semiempirical GGA-type density functional constructed with a long-range dispersion correction journal January 2006
Tuned Range-Separated Hybrids in Density Functional Theory journal March 2010
Accurate Treatment of Large Supramolecular Complexes by Double-Hybrid Density Functionals Coupled with Nonlocal van der Waals Corrections journal February 2015
Modeling Polymorphic Molecular Crystals with Electronic Structure Theory journal March 2016
SparseMaps—A systematic infrastructure for reduced scaling electronic structure methods. V. Linear scaling explicitly correlated coupled-cluster method with pair natural orbitals journal May 2017
Extrapolation and Scaling of the DFT-SAPT Interaction Energies toward the Basis Set Limit journal February 2011
Optical Spectroscopy of the Bulk and Interfacial Hydrated Electron from Ab Initio Calculations journal March 2014
Improving intermolecular interactions in DFTB3 using extended polarization from chemical-potential equalization journal August 2015
Attenuating Away the Errors in Inter- and Intramolecular Interactions from Second-Order Møller–Plesset Calculations in the Small Aug-cc-pVDZ Basis Set journal November 2012
Dispersionless Density Functional Theory journal December 2009
Nonlocal van der Waals density functional: The simpler the better journal December 2010
Separate Electronic Attenuation Allowing a Spin-Component-Scaled Second-Order Møller–Plesset Theory to Be Effective for Both Thermochemistry and Noncovalent Interactions journal February 2014
van der Waals Interactions in Ionic and Semiconductor Solids journal December 2011
Exploring the Accuracy Limits of Local Pair Natural Orbital Coupled-Cluster Theory journal March 2015
Density fitting and Cholesky decomposition approximations in symmetry-adapted perturbation theory: Implementation and application to probe the nature of π-π interactions in linear acenes journal May 2010
Many‐body theory of intermolecular induction interactions journal April 1994
Density-functional theory-symmetry-adapted intermolecular perturbation theory with density fitting: A new efficient method to study intermolecular interaction energies journal January 2005
Computational characterization and modeling of buckyball tweezers: density functional study of concave–convex π⋯π interactions journal January 2008
van der Waals dispersion interactions in molecular materials: beyond pairwise additivity journal January 2015
Large-Scale Functional Group Symmetry-Adapted Perturbation Theory on Graphical Processing Units journal January 2018
Optimum Exchange for Calculation of Excitation Energies and Hyperpolarizabilities of Organic Electro-optic Chromophores journal August 2014
Extension of the D3 dispersion coefficient model journal July 2017
Symmetry-adapted perturbation theory with Kohn-Sham orbitals using non-empirically tuned, long-range-corrected density functionals journal January 2014
Comparison shopping for a gradient-corrected density functional journal February 1996
Intermolecular exchange-induction energies without overlap expansion journal May 2012
Large-scale symmetry-adapted perturbation theory computations via density fitting and Laplace transformation techniques: Investigating the fundamental forces of DNA-intercalator interactions journal November 2011
Non-additive Intermolecular Potential in Gases I. van der Waals Interactions journal October 1956
A point-charge model for electrostatic potentials based on a local projection of multipole moments journal December 2006
Long-range correlation energy calculated from coupled atomic response functions journal May 2014
Perturbation theory of three-body exchange nonadditivity and application to helium trimer journal January 2000
Comparison of Intermolecular Interaction Energies from SAPT and DFT Including Empirical Dispersion Contributions journal October 2011
ωB97X-V: A 10-parameter, range-separated hybrid, generalized gradient approximation density functional with nonlocal correlation, designed by a survival-of-the-fittest strategy journal January 2014
Many-body dispersion interactions from the exchange-hole dipole moment model journal February 2013
Long-Range Corrected Hybrid Density Functionals with Improved Dispersion Corrections journal November 2012
Accurate van der Waals coefficients from density functional theory journal December 2011
Improving virtual Kohn–Sham orbitals and eigenvalues: Application to excitation energies and static polarizabilities journal December 1998
The correlation energy in the random phase approximation: Intermolecular forces between closed‐shell systems journal November 1977
Distributed Multipole Analysis:  Stability for Large Basis Sets journal September 2005
Dispersion Energy from Density-Functional Theory Description of Monomers journal July 2003
Atomic volumes and polarizabilities in density-functional theory journal January 2012
Accurate and Efficient Method for Many-Body van der Waals Interactions journal June 2012
Tuned range-separated hybrid functionals in the symmetry-adapted perturbation theory journal October 2014
Prediction of charge-transfer excitations in coumarin-based dyes using a range-separated functional tuned from first principles journal December 2009
Empirical correction to density functional theory for van der Waals interactions journal January 2002
Optimized spin-component scaled second-order Møller-Plesset perturbation theory for intermolecular interaction energies journal April 2007
The origin of deficiency of the supermolecule second-order Møller-Plesset approach for evaluating interaction energies journal October 2007
The Theory of Intermolecular Forces book January 2013
Comment on “Using Kohn−Sham Orbitals in Symmetry-Adapted Perturbation Theory To Investigate Intermolecular Interactions” journal December 2001
Design of Density Functionals That Are Broadly Accurate for Thermochemistry, Thermochemical Kinetics, and Nonbonded Interactions journal June 2005
A post-Hartree–Fock model of intermolecular interactions journal July 2005
Periodic boundary conditions for QM/MM calculations: Ewald summation for extended Gaussian basis sets journal December 2013
The variational explicit polarization potential and analytical first derivative of energy: Towards a next generation force field journal June 2008

Cited By (7)

Self-consistent charge embedding at very low cost, with application to symmetry-adapted perturbation theory journal July 2019
Fantasy versus reality in fragment-based quantum chemistry journal November 2019
Understanding non-covalent interactions in larger molecular complexes from first principles journal January 2019
Analytic gradient for the QM/MM-Ewald method using charges derived from the electrostatic potential: Theory, implementation, and application to ab initio molecular dynamics simulation of the aqueous electron journal April 2019
Finding chemical concepts in the Hilbert space: Coupled cluster analyses of noncovalent interactions journal August 2019
Recent developments in symmetry‐adapted perturbation theory journal November 2019
Spin splittings from first-order symmetry-adapted perturbation theory without single-exchange approximation journal February 2019

Similar Records

A Simple Correction for Nonadditive Dispersion within Extended Symmetry-Adapted Perturbation Theory (XSAPT)
Journal Article · Mon Sep 10 00:00:00 EDT 2018 · Journal of Chemical Theory and Computation · OSTI ID:1604462

Symmetry-adapted perturbation theory with Kohn-Sham orbitals using non-empirically tuned, long-range-corrected density functionals
Journal Article · Tue Jan 28 00:00:00 EST 2014 · Journal of Chemical Physics · OSTI ID:1604462

Comprehensive Basis-Set Testing of Extended Symmetry-Adapted Perturbation Theory and Assessment of Mixed-Basis Combinations to Reduce Cost
Journal Article · Tue Mar 15 00:00:00 EDT 2022 · Journal of Chemical Theory and Computation · OSTI ID:1604462