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Opoku E, Pawłowski F, Ortiz JV. Ab Initio Electron Propagators with an Hermitian, Intermediately Normalized Superoperator Metric Applied to Vertical Electron Affinities. J Phys Chem A 2024; 128:4730-4749. [PMID: 38814678 DOI: 10.1021/acs.jpca.4c02050] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/31/2024]
Abstract
New-generation ab initio electron propagator methods for calculating electron detachment energies of closed-shell molecules and anions have surpassed their predecessors' accuracy and computational efficiency. Derived from an Hermitian, intermediately normalized superoperator metric, these methods contain no adjustable parameters. To assess their versatility, a standard set (NIST-50-EA) of 50 vertical electron affinities of small closed-shell molecules based on NIST reference data has been created. Errors with respect to reference data on 23 large, conjugated organic photovoltaic (OPV23) molecules have also been analyzed. All final states are valence anions that correspond to electron affinities between 0.2 and 4.2 eV. For a given scaling of the arithmetic bottleneck, the new-generation methods obtain the lowest mean absolute errors (MAEs). The best methods with fifth-power arithmetic scaling realize MAEs below 0.1 eV. Composite models comprising cubically and quintically scaling calculations executed with large and small basis sets, respectively, produce OPV23 MAEs near 0.05 eV. The accuracy of quintically scaling methods executed with large basis sets is thereby procured with reduced computational effort. New-generation results obtained with and without the diagonal self-energy approximation in the canonical Hartree-Fock basis have been compared. These results indicate that Dyson orbitals closely resemble canonical Hartree-Fock orbitals multiplied by the square root of a probability factor above 0.85.
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Affiliation(s)
- Ernest Opoku
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849-5312, United States
| | - Filip Pawłowski
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849-5312, United States
| | - J V Ortiz
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849-5312, United States
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Calvin JA, Peng C, Rishi V, Kumar A, Valeev EF. Many-Body Quantum Chemistry on Massively Parallel Computers. Chem Rev 2020; 121:1203-1231. [DOI: 10.1021/acs.chemrev.0c00006] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Affiliation(s)
- Justus A. Calvin
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Chong Peng
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Varun Rishi
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Ashutosh Kumar
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
| | - Edward F. Valeev
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, United States
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Peng C, Lewis CA, Wang X, Clement MC, Pierce K, Rishi V, Pavošević F, Slattery S, Zhang J, Teke N, Kumar A, Masteran C, Asadchev A, Calvin JA, Valeev EF. Massively Parallel Quantum Chemistry: A high-performance research platform for electronic structure. J Chem Phys 2020; 153:044120. [DOI: 10.1063/5.0005889] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Chong Peng
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Cannada A. Lewis
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Xiao Wang
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | | | - Karl Pierce
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Varun Rishi
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Fabijan Pavošević
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Samuel Slattery
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Jinmei Zhang
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Nakul Teke
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Ashutosh Kumar
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Conner Masteran
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Andrey Asadchev
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Justus A. Calvin
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Edward F. Valeev
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
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Amati M, Stoia S, Baerends EJ. The Electron Affinity as the Highest Occupied Anion Orbital Energy with a Sufficiently Accurate Approximation of the Exact Kohn-Sham Potential. J Chem Theory Comput 2020; 16:443-452. [PMID: 31794657 PMCID: PMC6964414 DOI: 10.1021/acs.jctc.9b00981] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
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Negative ions are not accurately represented in density
functional
approximations (DFAs) such as (semi)local density functionals (LDA
or GGA or meta-GGA). This is caused by the much too high orbital energies
(not negative enough) with these DFAs compared to the exact Kohn–Sham
values. Negative ions very often have positive DFA HOMO energies,
hence they are unstable. These problems do not occur with the exact
Kohn–Sham potential, the anion HOMO energy then being equal
to minus the electron affinity. It is therefore desirable to develop
sufficiently accurate approximations to the exact Kohn–Sham
potential. There are further beneficial effects on the orbital shapes
and the density of using a good approximation to the exact KS potential.
Notably the unoccupied orbitals are not unduly diffuse, as they are
in the Hartree–Fock model, with hybrid functionals, and even
with (semi)local density functional approximations (LDFAs). We show
that the recently developed B-GLLB-VWN approximation [Gritsenko et
al. J. Chem. Phys.2016, 144, 204114] to the exact KS potential affords stable negative ions
with HOMO orbital energy close to minus the electron affinity.
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Affiliation(s)
- M Amati
- Università degli Studi della Basilicata , Viale dell'Ateneo Lucano 10 , 85100 Potenza , Italy
| | - S Stoia
- Università degli Studi della Basilicata , Viale dell'Ateneo Lucano 10 , 85100 Potenza , Italy
| | - E J Baerends
- Sectie Theoretische Chemie, FEW , Vrije Universiteit , De Boelelaan 1083 , 1081 HV Amsterdam , The Netherlands
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Loos PF, Pradines B, Scemama A, Giner E, Toulouse J. Density-Based Basis-Set Incompleteness Correction for GW Methods. J Chem Theory Comput 2019; 16:1018-1028. [DOI: 10.1021/acs.jctc.9b01067] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, Toulouse, France
| | - Barthélémy Pradines
- Laboratoire de Chimie Théorique (UMR 7616), Sorbonne Université, CNRS, Paris, France
- Institut des Sciences du Calcul et des Données, Sorbonne Université, Paris, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, Toulouse, France
| | - Emmanuel Giner
- Laboratoire de Chimie Théorique (UMR 7616), Sorbonne Université, CNRS, Paris, France
| | - Julien Toulouse
- Laboratoire de Chimie Théorique (UMR 7616), Sorbonne Université, CNRS, Paris, France
- Institut Universitaire de France, Paris, France
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