Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Importance of self-interaction-error removal in density functional calculations on water cluster anions

Journal Article · · Physical Chemistry Chemical Physics. PCCP
DOI:https://doi.org/10.1039/c9cp06106a· OSTI ID:1801722
 [1];  [2];  [3];  [2];  [4];  [3]
  1. Univ. of Texas at El Paso, TX (United States). Dept. of Physics; OSTI
  2. Univ. of Texas at El Paso, TX (United States). Dept. of Physics
  3. Univ. of Texas at El Paso, TX (United States). Dept. of Physics. Computational Science Program
  4. Central Michigan Univ., Mount Pleasant, MI (United States). Physics Dept. Science of Advanced Materials Program
Accurate description of the excess charge in water cluster anions is challenging for standard semi-local and (global) hybrid density functional approximations (DFAs). Using the recent unitary invariant implementation of the Perdew–Zunger self-interaction correction (SIC) method using Fermi-Löwdin orbitals, we assess the effect of self-interaction error on the vertical detachment energies of water cluster anions with the local spin density approximation (LSDA), Perdew–Burke–Ernzerhof (PBE) generalized gradient approximation, and the strongly constrained and appropriately normed (SCAN) meta-GGA functionals. Our results show that for the relative energies of isomers with respect to reference CCSD(T) values, the uncorrected SCAN functional has the smallest deviation of 21 meV, better than that for the MP2 method. The performance of SIC-SCAN is comparable to that of MP2 and is better than SIC-LSDA and SIC-PBE, but it reverses the ordering of the two lowest isomers for water hexamer anions. Removing self interaction error (SIE) corrects the tendency of LSDA, PBE, and SCAN to over-bind the extra electron. The vertical detachment energies (VDEs) of water cluster anions, obtained from the total energy differences of corresponding anion and neutral clusters, are significantly improved by removing self-interaction and are better than the hybrid B3LYP functional, but fall short of MP2 accuracy. Removing SIE results in substantial improvement in the position of the eigenvalue of the extra electron. The negative of the highest occupied eigenvalue after SIC provides an excellent approximation to the VDE, especially for SIC-PBE where the mean absolute error with respect to CCSD(T) is only 17 meV, the best among all approximations compared in this work.
Research Organization:
Central Michigan Univ., Mount Pleasant, MI (United States); Univ. of Texas at El Paso, TX (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0006818; SC0018331
OSTI ID:
1801722
Alternate ID(s):
OSTI ID: 1581027
Journal Information:
Physical Chemistry Chemical Physics. PCCP, Journal Name: Physical Chemistry Chemical Physics. PCCP Journal Issue: 7 Vol. 22; ISSN 1463-9076
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English

References (83)

Shrinking Self-Interaction Errors with the Fermi–Löwdin Orbital Self-Interaction-Corrected Density Functional Approximation journal November 2018
Theoretical Studies of Spectroscopy and Dynamics of Hydrated Electrons journal September 2012
Theoretical models for solvated electrons journal February 1980
The hydrated electron: quantum simulation of structure, spectroscopy, and dynamics journal July 1988
On the Non‐Orthogonality Problem Connected with the Use of Atomic Wave Functions in the Theory of Molecules and Crystals journal March 1950
Communication: Self-interaction correction with unitary invariance in density functional theory journal March 2014
Fermi-Löwdin orbital self-interaction correction to magnetic exchange couplings journal October 2018
Characterization of Excess Electrons in Water-Cluster Anions by Quantum Simulations journal August 2005
Strategies for Massively Parallel Local-Orbital-Based Electronic Structure Methods journal January 2000
Dynamics of the Bulk Hydrated Electron from Many-Body Wave-Function Theory journal February 2019
On the limited memory BFGS method for large scale optimization journal August 1989
Ab initio study of water hexamer anions journal May 1996
Photoelectron spectroscopy of the `missing' hydrated electron clusters (H2O)−n, n=3, 5, 8 and 9: Isomers and continuity with the dominant clusters n=6, 7 and ⩾11 journal November 1998
Theoretical studies of the water-cluster anions containing the OH{e}HO structure: energies and harmonic frequencies journal December 1999
Do cosmic-ray-driven electron-induced reactions impact stratospheric ozone depletion and global climate change? journal June 2011
Preparation and photoelectron spectrum of the ‘missing’ (H2O)4- cluster journal December 2004
Potential energy landscape of the (H2O)6- cluster journal June 2009
Increasing the applicability of DFT I: Non-variational correlation corrections from Hartree–Fock DFT for predicting transition states journal February 2012
On the Question of the Total Energy in the Fermi–Löwdin Orbital Self-Interaction Correction Method journal June 2018
Thermal Equilibration Controls H-Bonding and the Vertical Detachment Energy of Water Cluster Anions journal August 2018
Solvated electron structure in glassy matrixes journal May 1981
Role of Water in Electron-Initiated Processes and Radical Chemistry:  Issues and Scientific Advances journal January 2005
Theoretical Characterization of Four Distinct Isomer Types in Hydrated-Electron Clusters, and Proposed Assignments for Photoelectron Spectra of Water Cluster Anions journal December 2011
The Vibrational Spectrum of the Neutral (H 2 O) 6 Precursor to the “Magic” (H 2 O) 6 - Cluster Anion by Argon-Mediated, Population-Modulated Electron Attachment Spectroscopy journal January 2004
Calculation of Electron Detachment Energies for Water Cluster Anions:  An Appraisal of Electronic Structure Methods, with Application to (H 2 O) 20 - and (H 2 O) 24 - journal June 2005
Identification of Two Distinct Electron Binding Motifs in the Anionic Water Clusters:  A Vibrational Spectroscopic Study of the (H 2 O) 6 - Isomers journal September 2005
Infrared Spectrum and Structural Assignment of the Water Trimer Anion journal December 2005
Water Cluster Anions Studied by the Long-Range Corrected Density Functional Theory journal October 2008
Infrared Spectroscopy of the Hydrated Electron Clusters (H 2 O) n - , n = 6, 7:  Evidence for Hydrogen Bonding to the Excess Electron journal January 1996
Isolating the Spectral Signatures of Individual Sites in Water Networks Using Vibrational Double-Resonance Spectroscopy of Cluster Isotopomers journal July 2010
Accuracy and limitations of second-order many-body perturbation theory for predicting vertical detachment energies of solvated-electron clusters journal January 2006
Ab initio treatment of (H2O)2- and (H2O)6- journal January 1999
Ab initio studies of anionic clusters of water pentamer journal August 2000
Structures, energetics, and spectra of electron–water clusters, e−–(H2O)2–6 and e−–HOD(D2O)1–5 journal July 2003
Origin of the magic numbers of water clusters with an excess electron journal January 2005
Vibrational spectroscopy of hydrated electron clusters(H2O)15–50− via infrared multiple photon dissociation journal May 2007
Water clusters (H2O)n, n=6–8, in external electric fields journal January 2008
Low temperature photoelectron spectra of water cluster anions journal October 2009
Partially deuterated water dimers: Microwave spectra and structure journal May 1980
Local‐density Hartree–Fock theory of electronic states of molecules with self‐interaction correction journal March 1984
Density‐functional theory with self‐interaction correction: Application to the lithium molecule a) journal March 1985
Photoelectron spectroscopy of hydrated electron cluster anions, (H 2 O) n =2–69 journal March 1990
A new mixing of Hartree–Fock and local density‐functional theories journal January 1993
Infrared spectroscopy of negatively charged water clusters: Evidence for a linear network journal April 1999
A reexamination of exchange energy functionals journal October 1999
Water dimer to pentamer with an excess electron: Ab initio study journal December 1999
Fermi orbital derivatives in self-interaction corrected density functional theory: Applications to closed shell atoms journal February 2015
Self-interaction corrections applied to Mg-porphyrin, C 60 , and pentacene molecules journal April 2016
Self-consistent self-interaction corrected density functional theory calculations for atoms using Fermi-Löwdin orbitals: Optimized Fermi-orbital descriptors for Li–Kr journal October 2017
Anionic water pentamer and hexamer clusters: An extensive study of structures and energetics journal March 2018
Stretched or noded orbital densities and self-interaction correction in density functional theory journal May 2019
Fermi-Löwdin orbital self-interaction correction using the strongly constrained and appropriately normed meta-GGA functional journal October 2019
The effect of self-interaction error on electrostatic dipoles calculated using density functional theory journal November 2019
A step in the direction of resolving the paradox of Perdew-Zunger self-interaction correction journal December 2019
Ab initio theory and modeling of water journal September 2017
Photoelectron spectra of hydrated electron clusters vs. cluster size: connecting to bulk journal January 2008
Self-interaction-free electric dipole polarizabilities for atoms and their ions using the Fermi-Löwdin self-interaction correction journal July 2019
Exact differential equation for the density and ionization energy of a many-particle system journal November 1984
Density-functional exchange-energy approximation with correct asymptotic behavior journal September 1988
Optimization of Gaussian basis sets for density-functional calculations journal October 1999
Self-interaction correction to density-functional approximations for many-electron systems journal May 1981
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density journal January 1988
Variational mesh for quantum-mechanical simulations journal April 1990
Accurate forces in a local-orbital approach to the local-density approximation journal August 1990
Comment on “Significance of the highest occupied Kohn-Sham eigenvalue” journal December 1997
Relationship between the highest occupied Kohn-Sham orbital eigenvalue and ionization energy journal August 1999
Understanding and Reducing Errors in Density Functional Calculations journal August 2013
Strongly Constrained and Appropriately Normed Semilocal Density Functional journal July 2015
Negatively Charged Water Clusters, or the First Observation of Free Hydrated Electrons journal August 1981
Density-Functional Theory for Fractional Particle Number: Derivative Discontinuities of the Energy journal December 1982
The Nature of a Wet Electron journal February 1996
Generalized Gradient Approximation Made Simple journal October 1996
How Do Small Water Clusters Bind an Excess Electron? journal October 2004
Observation of Large Water-Cluster Anions with Surface-Bound Excess Electrons journal January 2005
Biomolecular Damage Induced by Ionizing Radiation: The Direct and Indirect Effects of Low-Energy Electrons on DNA journal April 2015
The Hydrated Electron journal May 2017
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density text January 1988
The Role of Self-Interaction Corrections, Vibrations, and Spin-Orbit in Determining the Ground Spin State in a Simple Heme journal October 2017
Dynamics of the Bulk Hydrated Electron from Many‐Body Wave‐Function Theory text January 2019
Understanding and reducing errors in density functional calculations text January 2012
Strongly Constrained and Appropriately Normed Semilocal Density Functional preprint January 2015
Ab initio theory and modeling of water text January 2017
Dynamics of the Bulk Hydrated Electron from Many‐Body Wave‐Function Theory text January 2019

Cited By (1)

Self-Interaction Correction in Water-Ion Clusters text January 2020

Similar Records

Vertical detachment energies of ammonia cluster anions using self-interaction-corrected methods
Journal Article · Mon Apr 24 20:00:00 EDT 2023 · Journal of Chemical Physics · OSTI ID:1974398

Shrinking Self-Interaction Errors with the Fermi–Löwdin Orbital Self-Interaction-Corrected Density Functional Approximation
Journal Article · Thu Nov 08 19:00:00 EST 2018 · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory · OSTI ID:1781806