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Title: Non-orthogonal configuration interaction with single substitutions for the calculation of core-excited states

Abstract

In this paper, we present the non-orthogonal configuration interaction singles (NOCIS) method for calculating core-excited states of closed-shell molecules. NOCIS is a black-box variant of NOCI, which uses A different core-ionized determinants for a molecule with A atoms of a given element to form single substitutions. NOCIS is a variational, spin-pure, size-consistent ab initio method that dramatically improves on standard CIS by capturing essential orbital relaxation effects, in addition to essential configuration interaction. We apply it to the calculation of core-excitations for several smaller molecules and demonstrate that it performs competitively with other Hartree-Fock and DFT-based methods. We also benchmark it in several basis sets.

Authors:
 [1];  [1]; ORCiD logo [1]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Chemistry; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Chemical Sciences Division
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1506339
Alternate Identifier(s):
OSTI ID: 1461929
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 149; Journal Issue: 4; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Oosterbaan, Katherine J., White, Alec F., and Head-Gordon, Martin. Non-orthogonal configuration interaction with single substitutions for the calculation of core-excited states. United States: N. p., 2018. Web. doi:10.1063/1.5023051.
Oosterbaan, Katherine J., White, Alec F., & Head-Gordon, Martin. Non-orthogonal configuration interaction with single substitutions for the calculation of core-excited states. United States. https://doi.org/10.1063/1.5023051
Oosterbaan, Katherine J., White, Alec F., and Head-Gordon, Martin. Sat . "Non-orthogonal configuration interaction with single substitutions for the calculation of core-excited states". United States. https://doi.org/10.1063/1.5023051. https://www.osti.gov/servlets/purl/1506339.
@article{osti_1506339,
title = {Non-orthogonal configuration interaction with single substitutions for the calculation of core-excited states},
author = {Oosterbaan, Katherine J. and White, Alec F. and Head-Gordon, Martin},
abstractNote = {In this paper, we present the non-orthogonal configuration interaction singles (NOCIS) method for calculating core-excited states of closed-shell molecules. NOCIS is a black-box variant of NOCI, which uses A different core-ionized determinants for a molecule with A atoms of a given element to form single substitutions. NOCIS is a variational, spin-pure, size-consistent ab initio method that dramatically improves on standard CIS by capturing essential orbital relaxation effects, in addition to essential configuration interaction. We apply it to the calculation of core-excitations for several smaller molecules and demonstrate that it performs competitively with other Hartree-Fock and DFT-based methods. We also benchmark it in several basis sets.},
doi = {10.1063/1.5023051},
journal = {Journal of Chemical Physics},
number = 4,
volume = 149,
place = {United States},
year = {Sat Jul 28 00:00:00 EDT 2018},
month = {Sat Jul 28 00:00:00 EDT 2018}
}

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Works referenced in this record:

Self-Consistent Field Calculations of Excited States Using the Maximum Overlap Method (MOM)
journal, December 2008

  • Gilbert, Andrew T. B.; Besley, Nicholas A.; Gill, Peter M. W.
  • The Journal of Physical Chemistry A, Vol. 112, Issue 50
  • DOI: 10.1021/jp801738f

Energy decomposition analysis of single bonds within Kohn–Sham density functional theory
journal, November 2017

  • Levine, Daniel S.; Head-Gordon, Martin
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 48
  • DOI: 10.1073/pnas.1715763114

Many-body theory of core-valence excitations
journal, March 1981


Inner shell electron energy loss studies of HCN and C2N2
journal, March 1979


Band Theory, Valence Bond, and Tight‐Binding Calculations
journal, January 1962

  • Löwdin, Per‐Olov
  • Journal of Applied Physics, Vol. 33, Issue 1
  • DOI: 10.1063/1.1777106

Calculation of near-edge X-ray absorption fine structure with the CIS(D) method
journal, September 2008


A combined DFT and restricted open-shell configuration interaction method including spin-orbit coupling: Application to transition metal L-edge X-ray absorption spectroscopy
journal, May 2013

  • Roemelt, Michael; Maganas, Dimitrios; DeBeer, Serena
  • The Journal of Chemical Physics, Vol. 138, Issue 20
  • DOI: 10.1063/1.4804607

Correlation of molecular valence‐ and K ‐shell photoionization resonances with bond lengths
journal, August 1989

  • Sheehy, J. A.; Gil, T. J.; Winstead, C. L.
  • The Journal of Chemical Physics, Vol. 91, Issue 3
  • DOI: 10.1063/1.457085

Self-consistent-field calculations of core excited states
journal, March 2009

  • Besley, Nicholas A.; Gilbert, Andrew T. B.; Gill, Peter M. W.
  • The Journal of Chemical Physics, Vol. 130, Issue 12
  • DOI: 10.1063/1.3092928

Theoretical core-level excitation spectra of N 2 and CO by a new polarisation propagator method
journal, March 1985


Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen
journal, January 1989

  • Dunning, Thom H.
  • The Journal of Chemical Physics, Vol. 90, Issue 2
  • DOI: 10.1063/1.456153

Non-orthogonal configuration interaction for the calculation of multielectron excited states
journal, March 2014

  • Sundstrom, Eric J.; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 140, Issue 11
  • DOI: 10.1063/1.4868120

Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions
journal, May 1992

  • Kendall, Rick A.; Dunning, Thom H.; Harrison, Robert J.
  • The Journal of Chemical Physics, Vol. 96, Issue 9
  • DOI: 10.1063/1.462569

Gaussian basis sets for use in correlated molecular calculations. III. The atoms aluminum through argon
journal, January 1993

  • Woon, David E.; Dunning, Thom H.
  • The Journal of Chemical Physics, Vol. 98, Issue 2
  • DOI: 10.1063/1.464303

Time-Dependent Density Functional Theory Study of the X-ray Absorption Spectroscopy of Acetylene, Ethylene, and Benzene on Si(100)
journal, January 2007

  • Besley, Nicholas A.; Noble, Adam
  • The Journal of Physical Chemistry C, Vol. 111, Issue 8
  • DOI: 10.1021/jp065160x

Corresponding Orbitals and the Nonorthogonality Problem in Molecular Quantum Mechanics
journal, September 1967

  • King, Harry F.; Stanton, Richard E.; Kim, Hojing
  • The Journal of Chemical Physics, Vol. 47, Issue 6
  • DOI: 10.1063/1.1712221

K -shell photoabsorption coefficients of O 2 , C O 2 , CO, and N 2 O
journal, September 1979


Analysis of Electronic Transitions as the Difference of Electron Attachment and Detachment Densities
journal, September 1995

  • Head-Gordon, Martin; Grana, Ana M.; Maurice, David
  • The Journal of Physical Chemistry, Vol. 99, Issue 39
  • DOI: 10.1021/j100039a012

Nitrogen K-shell excitation in N 2 , NO and N 2 O by high-resolution electron energy-loss spectroscopy
journal, March 1980

  • Tronc, M.; King, G. C.; Read, F. H.
  • Journal of Physics B: Atomic and Molecular Physics, Vol. 13, Issue 5
  • DOI: 10.1088/0022-3700/13/5/025

Carbon and oxygen K-edge photoionization of the CO molecule
journal, September 1990


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


Toward a systematic molecular orbital theory for excited states
journal, January 1992

  • Foresman, James B.; Head-Gordon, Martin; Pople, John A.
  • The Journal of Physical Chemistry, Vol. 96, Issue 1
  • DOI: 10.1021/j100180a030

Fine structure above the carbon K-edge in methane and in the fluoromethanes
journal, March 1978


Broken orbital symmetry and the description of valence hole states in the tetrahedral [CrO4]2? anion
journal, January 1988

  • Broer, R.; Nieuwpoort, W. C.
  • Theoretica Chimica Acta, Vol. 73, Issue 5-6
  • DOI: 10.1007/bf00527744

Carbon K-shell excitation in small molecules by high-resolution electron impact
journal, January 1979

  • Tronc, M.; King, G. C.; Read, F. H.
  • Journal of Physics B: Atomic and Molecular Physics, Vol. 12, Issue 1
  • DOI: 10.1088/0022-3700/12/1/020

Relativistic four-component static-exchange approximation for core-excitation processes in molecules
journal, February 2006


K-shell excitation of HF and F 2 studied by electron energy-loss spectroscopy
journal, November 1981

  • Hitchcock, A. P.; Brion, C. E.
  • Journal of Physics B: Atomic and Molecular Physics, Vol. 14, Issue 22
  • DOI: 10.1088/0022-3700/14/22/022

Time-dependent density functional calculations of ligand K-edge X-ray absorption spectra
journal, March 2008

  • DeBeer George, Serena; Petrenko, Taras; Neese, Frank
  • Inorganica Chimica Acta, Vol. 361, Issue 4
  • DOI: 10.1016/j.ica.2007.05.046

Non-orthogonal approaches to the study of magnetic interactions
journal, January 2003


Static exchange and quantum defect analysis of x-ray absorption spectra of carbonyl compounds
journal, December 1996


Direct SCF direct static-exchange calculations of electronic spectra
journal, October 1997

  • �gren, Hans; Carravetta, Vincenzo; Vahtras, Olav
  • Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 97, Issue 1-4
  • DOI: 10.1007/s002140050234

A long-range correction scheme for generalized-gradient-approximation exchange functionals
journal, August 2001

  • Iikura, Hisayoshi; Tsuneda, Takao; Yanai, Takeshi
  • The Journal of Chemical Physics, Vol. 115, Issue 8
  • DOI: 10.1063/1.1383587

Development of density functionals for thermochemical kinetics
journal, August 2004

  • Boese, A. Daniel; Martin, Jan M. L.
  • The Journal of Chemical Physics, Vol. 121, Issue 8
  • DOI: 10.1063/1.1774975

Hole localization and symmetry breaking
journal, January 1998


Assessment of basis sets for density functional theory-based calculations of core-electron spectroscopies
journal, December 2017


Size consistent formulations of the perturb-then-diagonalize Møller-Plesset perturbation theory correction to non-orthogonal configuration interaction
journal, August 2016

  • Yost, Shane R.; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 145, Issue 5
  • DOI: 10.1063/1.4959794

Many-body theory of core holes
journal, July 1980


Time-dependent density functional theory calculations of near-edge X-ray absorption fine structure with short-range corrected functionals
journal, January 2009

  • Besley, Nicholas A.; Peach, Michael J. G.; Tozer, David J.
  • Physical Chemistry Chemical Physics, Vol. 11, Issue 44
  • DOI: 10.1039/b912718f

The algebraic diagrammatic construction scheme for the polarization propagator for the calculation of excited states
journal, September 2014

  • Dreuw, Andreas; Wormit, Michael
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 5, Issue 1
  • DOI: 10.1002/wcms.1206

Hartree–Fock solutions as a quasidiabatic basis for nonorthogonal configuration interaction
journal, September 2009

  • Thom, Alex J. W.; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 131, Issue 12
  • DOI: 10.1063/1.3236841

X-ray absorption spectra from the resonant-convergent first-order polarization propagator approach
journal, October 2006


Assessment of Gaussian-2 and density functional theories for the computation of enthalpies of formation
journal, January 1997

  • Curtiss, Larry A.; Raghavachari, Krishnan; Redfern, Paul C.
  • The Journal of Chemical Physics, Vol. 106, Issue 3
  • DOI: 10.1063/1.473182

Analysis and comparison of CVS-ADC approaches up to third order for the calculation of core-excited states
journal, June 2015

  • Wenzel, Jan; Holzer, Andre; Wormit, Michael
  • The Journal of Chemical Physics, Vol. 142, Issue 21
  • DOI: 10.1063/1.4921841

Carbon K-shell excitation of C2H2, C2H4, C2H6 and C6H6 by 2.5 keV electron impact
journal, January 1977


Property evaluation and orbital relaxation in coupled cluster methods
journal, July 1987

  • Salter, E. A.; Sekino, Hideo; Bartlett, Rodney J.
  • The Journal of Chemical Physics, Vol. 87, Issue 1
  • DOI: 10.1063/1.453596

Beyond Time-Dependent Density Functional Theory Using Only Single Excitations: Methods for Computational Studies of Excited States in Complex Systems
journal, April 2016


Tautomerism in Cytosine and Uracil: An Experimental and Theoretical Core Level Spectroscopic Study
journal, May 2009

  • Feyer, Vitaliy; Plekan, Oksana; Richter, Robert
  • The Journal of Physical Chemistry A, Vol. 113, Issue 19
  • DOI: 10.1021/jp900998a

Polarization Propagator for X-Ray Spectra
journal, October 2006


Equation of motion coupled cluster method for electron attachment
journal, March 1995

  • Nooijen, Marcel; Bartlett, Rodney J.
  • The Journal of Chemical Physics, Vol. 102, Issue 9
  • DOI: 10.1063/1.468592

Single determinant wave functions
journal, October 1961

  • Amos, A. T.; Hall, G. G.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 263, Issue 1315, p. 483-493
  • DOI: 10.1098/rspa.1961.0175

Resonant photofragmentation of methanol at the carbon and oxygen K-edge by high-resolution ion-yield spectroscopy
journal, January 1999

  • Hempelmann, A.; Piancastelli, M. N.; Heiser, F.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 32, Issue 11
  • DOI: 10.1088/0953-4075/32/11/315

A doubles correction to electronic excited states from configuration interaction in the space of single substitutions
journal, March 1994


K-shell excitation spectra of CO, N2 and O2
journal, January 1980


A preconditioned Newton algorithm for the nearest correlation matrix
journal, June 2009

  • Borsdorf, R.; Higham, N. J.
  • IMA Journal of Numerical Analysis, Vol. 30, Issue 1
  • DOI: 10.1093/imanum/drn085

Direct, atomic orbital, static exchange calculations of photoabsorption spectra of large molecules and clusters
journal, May 1994


Works referencing / citing this record:

Global elucidation of broken symmetry solutions to the independent particle model through a Lie algebraic approach
journal, November 2018

  • Thompson, Lee M.
  • The Journal of Chemical Physics, Vol. 149, Issue 19
  • DOI: 10.1063/1.5049827

Erratum: “Non-orthogonal configuration interaction with single substitutions for the calculation of core-excited states” [J. Chem. Phys. 149, 044116 (2018)]
journal, October 2018

  • Oosterbaan, Katherine J.; White, Alec F.; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 149, Issue 13
  • DOI: 10.1063/1.5056181

Coupled cluster study of the x-ray absorption spectra of formaldehyde derivatives at the oxygen, carbon, and fluorine K-edges
journal, August 2019

  • Frati, Federica; de Groot, Frank; Cerezo, Javier
  • The Journal of Chemical Physics, Vol. 151, Issue 6
  • DOI: 10.1063/1.5097650

Excited states via coupled cluster theory without equation-of-motion methods: Seeking higher roots with application to doubly excited states and double core hole states
journal, December 2019

  • Lee, Joonho; Small, David W.; Head-Gordon, Martin
  • The Journal of Chemical Physics, Vol. 151, Issue 21
  • DOI: 10.1063/1.5128795