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Title: Analytic atomic gradients in the fermi‐löwdin orbital self‐interaction correction

Journal Article · · Journal of Computational Chemistry
DOI:https://doi.org/10.1002/jcc.25767· OSTI ID:1488960
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [2];  [2];  [3];  [4];  [4];  [4];  [5]; ORCiD logo [5]; ORCiD logo [5]
  1. Department of Physics Central Michigan University Mount Pleasant Michigan, 48859
  2. TU Freiberg, Institute of Theoretical Physics Leipziger Street 23, D‐09599, Freiberg Germany
  3. NASA Postdoctoral Program Fellow NASA Goddard Space Flight Center Greenbelt Maryland, 20771
  4. Department of Physics The University of Texas at El Paso El Paso Texas, 79968
  5. Department of Physics, Science of Advanced Materials Program Central Michigan University Mount Pleasant Michigan, 48859

We derived, implemented, and thoroughly tested the complete analytic expression for atomic forces, consisting of the Hellmann‐Feynman term and the Pulay correction, for the Fermi‐Löwdin orbital self‐interaction correction (FLO‐SIC) method. Analytic forces are shown to be numerically accurate through an extensive comparison to forces obtained from finite differences. Using the analytic forces, equilibrium structures for a small set of molecules were obtained. This work opens the possibility of routine self‐interaction free geometrical relaxations of molecules using the FLO‐SIC method. © 2018 Wiley Periodicals, Inc.

Sponsoring Organization:
USDOE
Grant/Contract Number:
Award # DE‐0018331
OSTI ID:
1488960
Journal Information:
Journal of Computational Chemistry, Journal Name: Journal of Computational Chemistry Vol. 40 Journal Issue: 6; ISSN 0192-8651
Publisher:
Wiley Blackwell (John Wiley & Sons)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

References (30)

Self-interaction corrections in density functional theory journal May 2014
A General Database for Main Group Thermochemistry, Kinetics, and Noncovalent Interactions − Assessment of Common and Reparameterized ( meta -)GGA Density Functionals journal November 2009
On the Question of the Total Energy in the Fermi–Löwdin Orbital Self-Interaction Correction Method journal June 2018
A family of variable-metric methods derived by variational means journal January 1970
Full self-consistency in the Fermi-orbital self-interaction correction journal May 2017
The effect of the Perdew-Zunger self-interaction correction to density functionals on the energetics of small molecules journal September 2012
Optimization of Gaussian basis sets for density-functional calculations journal October 1999
Complex Orbitals, Multiple Local Minima, and Symmetry Breaking in Perdew–Zunger Self-Interaction Corrected Density Functional Theory Calculations journal June 2016
Forces in Molecules journal August 1939
Accurate and simple density functional for the electronic exchange energy: Generalized gradient approximation journal June 1986
Updating quasi-Newton matrices with limited storage journal September 1980
Inhomogeneous Electron Gas journal November 1964
Local‐density Hartree–Fock theory of electronic states of molecules with self‐interaction correction journal March 1984
Effect of the Perdew–Zunger self-interaction correction on the thermochemical performance of approximate density functionals journal January 2004
Density functional theory and the band gap problem journal March 1985
Assessment of Gaussian-2 and density functional theories for the computation of enthalpies of formation journal January 1997
Critical assessment of the self-interaction-corrected–local-density-functional method and its algorithmic implementation journal March 1997
Ab initio calculation of force constants and equilibrium geometries in polyatomic molecules : I. Theory journal January 1969
Pulay forces from localized orbitals optimized in situ using a psinc basis set journal June 2012
Variational mesh for quantum-mechanical simulations journal April 1990
Fermi-Löwdin orbital self-interaction corrected density functional theory: Ionization potentials and enthalpies of formation: Fermi-Löwdin Orbital Self-interaction Corrected Density Functional Theory: Ionization Potentials and Enthalpies of Formation journal October 2018
Self-interaction correction to density-functional approximations for many-electron systems journal May 1981
Conditioning of quasi-Newton methods for function minimization journal September 1970
Constants of diatomic molecules book January 1979
The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations journal January 1970
Physical Content of the Exact Kohn-Sham Orbital Energies: Band Gaps and Derivative Discontinuities journal November 1983
On the Non‐Orthogonality Problem Connected with the Use of Atomic Wave Functions in the Theory of Molecules and Crystals journal March 1950
A new approach to variable metric algorithms journal March 1970
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Communication: Self-interaction correction with unitary invariance in density functional theory journal March 2014

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