DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Compressed intramolecular dispersion interactions

Journal Article · · Journal of Chemical Physics
DOI: https://doi.org/10.1063/1.5126716 · OSTI ID:1616101

The feasibility of the compression of localized virtual orbitals is explored in the context of intramolecular long-range dispersion interactions. Singular value decomposition (SVD) of coupled cluster doubles amplitudes associated with the dispersion interactions is analyzed for a number of long-chain systems, including saturated and unsaturated hydrocarbons and a silane chain. Further decomposition of the most important amplitudes obtained from these SVDs allows for the analysis of the dispersion-specific virtual orbitals that are naturally localized. Consistent with previous work on intermolecular dispersion interactions in dimers, it is found that three important geminals arise and account for the majority of dispersion interactions at the long range, even in the many body intramolecular case. Finally, it is shown that as few as three localized virtual orbitals per occupied orbital can be enough to capture all pairwise long-range dispersion interactions within a molecule.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1616101
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 2 Vol. 152; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (55)

On the Use of the Cluster Expansion and the Technique of Diagrams in Calculations of Correlation Effects in Atoms and Molecules book January 2007
Effect of the damping function in dispersion corrected density functional theory journal March 2011
The influence of polarization functions on molecular orbital hydrogenation energies journal January 1973
Random-phase approximation and its applications in computational chemistry and materials science journal June 2012
Localizability of dynamic electron correlation journal September 1983
Can (semi)local density functional theory account for the London dispersion forces? journal October 1994
Enabling simulation at the fifth rung of DFT: Large scale RPA calculations with excellent time to solution journal February 2015
Initiation of explicitly correlated Slater-type geminal theory journal November 2004
Decomposition of Intermolecular Interaction Energies within the Local Pair Natural Orbital Coupled Cluster Framework journal September 2016
Assessing Electronic Structure Methods for Long-Range Three-Body Dispersion Interactions: Analysis and Calculations on Well-Separated Metal Atom Trimers journal June 2019
Minimally Empirical Double-Hybrid Functionals Trained against the GMTKN55 Database: revDSD-PBEP86-D4, revDOD-PBE-D4, and DOD-SCAN-D4 journal May 2019
Origins of Structure and Energetics of van der Waals Clusters from ab Initio Calculations journal November 1994
Many-Body Effects in Intermolecular Forces journal November 1994
State of the Art and Challenges of the ab Initio Theory of Intermolecular Interactions journal November 2000
Accurate Molecular Crystal Lattice Energies from a Fragment QM/MM Approach with On-the-Fly Ab Initio Force Field Parametrization journal October 2011
Crystal Polymorphism in Oxalyl Dihydrazide: Is Empirical DFT-D Accurate Enough? journal July 2012
Importance and Reliability of Small Basis Set CCSD(T) Corrections to MP2 Binding and Relative Energies of Water Clusters journal March 2015
Ab Initio Studies of π···π Interactions:  The Effects of Quadruple Excitations journal April 2004
Local Treatment of Electron Correlation in Molecular Clusters:  Structures and Stabilities of (H 2 O) n , n = 2−4 journal July 1998
Quantum dissipation driven by electron transfer within a single molecule investigated with atomic force microscopy journal March 2020
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
Localized orbital theory and ammonia triborane journal January 2007
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
Low-order scaling local electron correlation methods. IV. Linear scaling local coupled-cluster (LCCSD) journal January 2001
Natural transition orbitals journal March 2003
Singular value decomposition approach for the approximate coupled-cluster method journal October 2003
An efficient method for calculating maxima of homogeneous functions of orthogonal matrices: Applications to localized occupied orbitals journal November 2004
Prescription for the design and selection of density functional approximations: More constraint satisfaction with fewer fits journal August 2005
New correlation factors for explicitly correlated electronic wave functions journal August 2005
A density-functional model of the dispersion interaction journal October 2005
Exchange-hole dipole moment and the dispersion interaction: High-order dispersion coefficients journal January 2006
The origin of deficiency of the supermolecule second-order Møller-Plesset approach for evaluating interaction energies journal October 2007
A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu journal April 2010
Nonlocal van der Waals density functional: The simpler the better journal December 2010
An energy decomposition analysis for intermolecular interactions from an absolutely localized molecular orbital reference at the coupled-cluster singles and doubles level journal January 2012
Contribution of triple substitutions to the electron correlation energy in fourth order perturbation theory journal April 1980
A full coupled‐cluster singles and doubles model: The inclusion of disconnected triples journal February 1982
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
An efficient and near linear scaling pair natural orbital based local coupled cluster method journal January 2013
Compressed representation of dispersion interactions and long-range electronic correlations journal October 2017
Survival of the most transferable at the top of Jacob’s ladder: Defining and testing the ω B97M(2) double hybrid density functional journal June 2018
Advances in molecular quantum chemistry contained in the Q-Chem 4 program package journal September 2014
Inhomogeneous Electron Gas journal November 1964
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Density-functional correction of random-phase-approximation correlation with results for jellium surface energies journal April 1999
Density functional for short-range correlation: Accuracy of the random-phase approximation for isoelectronic energy changes journal June 2000
Inhomogeneous Electron Gas journal March 1973
Predicting Structure of Molecular Crystals from First Principles journal September 2008
Accurate Molecular Van Der Waals Interactions from Ground-State Electron Density and Free-Atom Reference Data journal February 2009
Van der Waals Density Functional for General Geometries journal June 2004
Construction of Some Molecular Orbitals to Be Approximately Invariant for Changes from One Molecule to Another journal April 1960
Local Treatment of Electron Correlation journal January 1993
Nonlocal van der Waals density functional: The simpler the better text January 2010
Random-phase approximation and its applications in computational chemistry and materials science text January 2012
Enabling simulation at the fifth rung of DFT: Large scale RPA calculations with excellent time to solution text January 2015