1
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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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2
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Paran GP, Utku C, Jagau TC. On the performance of second-order approximate coupled-cluster singles and doubles methods for non-valence anions. Phys Chem Chem Phys 2024; 26:1809-1818. [PMID: 38168799 PMCID: PMC10793870 DOI: 10.1039/d3cp05923e] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/05/2023] [Accepted: 12/19/2023] [Indexed: 01/05/2024]
Abstract
We investigate the capability of several variants of the second-order approximate coupled-cluster singles and doubles (CC2) method to describe dipole-bound, quadrupole-bound, and correlation-bound molecular anions. The binding energy of anions formed by electron attachment to closed-shell molecules is computed using the electron attachment variant of CC2 (EA-CC2), whereas anions with a closed-shell ground state are treated with the standard CC2 method that preserves the number of particles. We find that EA-CC2 captures the binding energies of dipole-bound radical anions quite well, whereas results for other types of non-valence anions are less reliable. We also test the performance of semi-empirical spin-scaling factors for all types of non-valence anions and observe that the spin-scaled CC2 variants generally do not provide more accurate binding energies for dipole-bound anions, while the binding energies of quadrupole-bound and correlation-bound anions are improved. As exemplary applications of EA-CC2, we investigate the dipole-bound anions of the steroids cortisol, progesterone, and testosterone. In addition, we characterize electron attachment to sym-tetracyanonaphthalene, a molecule that supports five anionic states, two of which can be interpreted as hitherto unobserved π-type quadrupole-bound states.
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Affiliation(s)
| | - Cansu Utku
- Department of Chemistry, KU Leuven, Celestijnenlaan 200F, B-3001 Leuven, Belgium.
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3
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Thodika M, Matsika S. Projected Complex Absorbing Potential Multireference Configuration Interaction Approach for Shape and Feshbach Resonances. J Chem Theory Comput 2022; 18:3377-3390. [PMID: 35622933 DOI: 10.1021/acs.jctc.1c01310] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Anion resonances are formed as metastable intermediates in low-energy electron-induced reactions. Due to the finite lifetimes of resonances, applying standard Hermitian formalism for their characterization presents a vexing problem for computational chemists. Numerous modifications to conventional quantum chemical methods have enabled satisfactory characterization of resonances, but specific issues remain, especially in describing two-particle one-hole (2p-1h) resonances. An accurate description of these resonances and their coupling with single-particle resonances requires a multireference approach. We propose a projected complex absorbing potential (CAP) implementation within the multireference configuration interaction (MRCI) framework to characterize single-particle and 2p-1h resonances. As a first application, we use the projected-CAP-MRCI approach to characterize and benchmark the 2Πg shape resonance in N2-. We test its performance as a function of the size of the subspace and other parameters, and we compute the complex potential energy surface of the 2Πg shape resonance to show that a smooth curve is obtained. One key benefit of MRCI is that it can describe Feshbach resonances (most common examples of 2p-1h resonances) at the same footing as shape resonances. Therefore, it is uniquely positioned to describe mixing between the different channels. To test these additional capabilities, we compute Feshbach resonances in H2O- and anions of dicyanoethylene isomers. We find that CAP-MRCI can efficiently capture the mixing between the Feshbach and shape resonances in dicyanoethylene isomers, which has significant consequences for their lifetimes.
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Affiliation(s)
- Mushir Thodika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, United States
| | - Spiridoula Matsika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, United States
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4
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Dann R, Elbaz G, Berkheim J, Muhafra A, Nitecki O, Wilczynski D, Moiseyev N. Variational Solutions for Resonances by a Finite-Difference Grid Method. Molecules 2021; 26:molecules26175248. [PMID: 34500682 PMCID: PMC8434025 DOI: 10.3390/molecules26175248] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/28/2021] [Revised: 08/16/2021] [Accepted: 08/21/2021] [Indexed: 11/29/2022] Open
Abstract
We demonstrate that the finite difference grid method (FDM) can be simply modified to satisfy the variational principle and enable calculations of both real and complex poles of the scattering matrix. These complex poles are known as resonances and provide the energies and inverse lifetimes of the system under study (e.g., molecules) in metastable states. This approach allows incorporating finite grid methods in the study of resonance phenomena in chemistry. Possible applications include the calculation of electronic autoionization resonances which occur when ionization takes place as the bond lengths of the molecule are varied. Alternatively, the method can be applied to calculate nuclear predissociation resonances which are associated with activated complexes with finite lifetimes.
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Affiliation(s)
- Roie Dann
- The Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem 9190401, Israel
- Correspondence: (R.D.); (N.M.)
| | - Guy Elbaz
- Faculty of Mechanical Engineering, Technion—Israel Institute of Technology, Haifa 3200003, Israel; (G.E.); (A.M.); (D.W.)
| | | | - Alan Muhafra
- Faculty of Mechanical Engineering, Technion—Israel Institute of Technology, Haifa 3200003, Israel; (G.E.); (A.M.); (D.W.)
| | - Omri Nitecki
- Schulich Faculty of Chemistry, Solid State Institute and Faculty of Physics, Technion—Israel Institute of Technology, Haifa 3200003, Israel;
| | - Daniel Wilczynski
- Faculty of Mechanical Engineering, Technion—Israel Institute of Technology, Haifa 3200003, Israel; (G.E.); (A.M.); (D.W.)
| | - Nimrod Moiseyev
- Schulich Faculty of Chemistry, Solid State Institute and Faculty of Physics, Technion—Israel Institute of Technology, Haifa 3200003, Israel;
- Solid State Institute and Faculty of Physics, Technion—Israel Institute of Technology, Haifa 3200003, Israel
- Correspondence: (R.D.); (N.M.)
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5
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Dempwolff AL, Belogolova AM, Trofimov AB, Dreuw A. Intermediate state representation approach to physical properties of molecular electron-attached states: Theory, implementation, and benchmarking. J Chem Phys 2021; 154:104117. [PMID: 33722034 DOI: 10.1063/5.0043337] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023] Open
Abstract
Computational schemes for comprehensive studies of molecular electron-attached states and the calculation of electron affinities (EAs) are formulated and implemented employing the intermediate state representation (ISR) formalism and the algebraic-diagrammatic construction approximation for the electron propagator (EA-ADC). These EA-ADC(n)/ISR(m) schemes allow for a consistent treatment of not only electron affinities and pole strengths up to third-order of perturbation theory (n = 3) but also one-electron properties of electron-attached states up to second order (m = 2). The EA-ADC/ISR equations were implemented in the Q-Chem program for Ŝz-adapted intermediate states, allowing also open-shell systems to be studied using unrestricted Hartree-Fock references. For benchmarking of the EA-(U)ADC/ISR schemes, EAs and dipole moments of various electron-attached states of small closed- and open-shell molecules were computed and compared to full configuration interaction data. As an illustrative example, EA-ADC(3)/ISR(2) has been applied to the thymine-thymine (6-4) DNA photolesion.
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Affiliation(s)
- Adrian L Dempwolff
- Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205, D-69120 Heidelberg, Germany
| | - Alexandra M Belogolova
- Laboratory of Quantum Chemistry, Irkutsk State University, Karl Marx Street 1, 664003 Irkutsk, Russia
| | - Alexander B Trofimov
- Laboratory of Quantum Chemistry, Irkutsk State University, Karl Marx Street 1, 664003 Irkutsk, Russia
| | - Andreas Dreuw
- Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205, D-69120 Heidelberg, Germany
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6
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Skomorowski W, Krylov AI. Feshbach–Fano approach for calculation of Auger decay rates using equation-of-motion coupled-cluster wave functions. II. Numerical examples and benchmarks. J Chem Phys 2021; 154:084125. [DOI: 10.1063/5.0036977] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
Affiliation(s)
- Wojciech Skomorowski
- Department of Chemistry, University of Southern California, Los Angeles, California 90089, USA
| | - Anna I. Krylov
- Department of Chemistry, University of Southern California, Los Angeles, California 90089, USA
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7
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Mukherjee M, Tripathi D, Brehm M, Riplinger C, Dutta AK. Efficient EOM-CC-based Protocol for the Calculation of Electron Affinity of Solvated Nucleobases: Uracil as a Case Study. J Chem Theory Comput 2020; 17:105-116. [DOI: 10.1021/acs.jctc.0c00655] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
| | - Divya Tripathi
- Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
| | - Martin Brehm
- Institute of Chemistry, Martin Luther University Halle-Wittenberg, Von-Danckelmann-Platz 4, 06120 Halle (Saale), Germany
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8
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Matthews DA, Cheng L, Harding ME, Lipparini F, Stopkowicz S, Jagau TC, Szalay PG, Gauss J, Stanton JF. Coupled-cluster techniques for computational chemistry: The CFOUR program package. J Chem Phys 2020; 152:214108. [DOI: 10.1063/5.0004837] [Citation(s) in RCA: 214] [Impact Index Per Article: 53.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
Affiliation(s)
- Devin A. Matthews
- Department of Chemistry, Southern Methodist University, Dallas, Texas 75275, USA
| | - Lan Cheng
- Department of Chemistry, Johns Hopkins University, Baltimore, Maryland 21218, USA
| | - Michael E. Harding
- Institut für Physikalische Chemie, Karlsruher Institut für Technologie (KIT), Kaiserstr. 12, D-76131 Karlsruhe, Germany
| | - Filippo Lipparini
- Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via G. Moruzzi 13, I-56124 Pisa, Italy
| | - Stella Stopkowicz
- Department Chemie, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, D-55128 Mainz, Germany
| | - Thomas-C. Jagau
- Department of Chemistry, University of Munich (LMU), Butenandtstr. 5-13, D-81377 Munich, Germany
| | - Péter G. Szalay
- ELTE Eötvös Loránd University, Institute of Chemistry, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary
| | - Jürgen Gauss
- Department Chemie, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, D-55128 Mainz, Germany
| | - John F. Stanton
- Quantum Theory Project, Departments of Chemistry and Physics, University of Florida, Gainesville, Florida 32611, USA
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9
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Haldar S, Dutta AK. A Multilayer Approach to the Equation of Motion Coupled-Cluster Method for the Electron Affinity. J Phys Chem A 2020; 124:3947-3962. [DOI: 10.1021/acs.jpca.0c01793] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Affiliation(s)
- Soumi Haldar
- Department of Chemistry, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
| | - Achintya Kumar Dutta
- Department of Chemistry, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
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10
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Gulania S, Jagau TC, Sanov A, Krylov AI. The quest to uncover the nature of benzonitrile anion. Phys Chem Chem Phys 2020; 22:5002-5010. [DOI: 10.1039/c9cp06484b] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Abstract
Anionic states of benzonitrile are investigated by high-level electronic structure methods.
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Affiliation(s)
- Sahil Gulania
- Department of Chemistry
- University of Southern California
- Los Angeles
- USA
| | | | - Andrei Sanov
- Department of Chemistry and Biochemistry
- University of Arizona
- Tucson
- USA
| | - Anna I. Krylov
- Department of Chemistry
- University of Southern California
- Los Angeles
- USA
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11
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Ivanov MV, Jagau TC, Zhu GZ, Hudson ER, Krylov AI. In search of molecular ions for optical cycling: a difficult road. Phys Chem Chem Phys 2020; 22:17075-17090. [DOI: 10.1039/d0cp02921a] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Optical cycling, a continuous photon scattering off atoms or molecules, is the key tool in quantum information science.
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Affiliation(s)
- Maxim V. Ivanov
- Department of Chemistry
- University of Southern California
- Los Angeles
- USA
| | - Thomas-C. Jagau
- Department of Chemistry
- Katholieke Universiteit Leuven
- Leuven
- Belgium
| | - Guo-Zhu Zhu
- Department of Physics and Astronomy
- University of California Los Angeles
- Los Angeles
- USA
| | - Eric R. Hudson
- Department of Physics and Astronomy
- University of California Los Angeles
- Los Angeles
- USA
- UCLA Center for Quantum Science and Engineering
| | - Anna I. Krylov
- Department of Chemistry
- University of Southern California
- Los Angeles
- USA
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12
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Thodika M, Fennimore M, Karsili TNV, Matsika S. Comparative study of methodologies for calculating metastable states of small to medium-sized molecules. J Chem Phys 2019; 151:244104. [DOI: 10.1063/1.5134700] [Citation(s) in RCA: 20] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
Affiliation(s)
- Mushir Thodika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Mark Fennimore
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Tolga N. V. Karsili
- Department of Chemistry, University of Louisiana, Lafayette, Louisiana 70504, USA
| | - Spiridoula Matsika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, USA
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13
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Tripathi D, Dutta AK. Electron Attachment to DNA Base Pairs: An Interplay of Dipole- and Valence-Bound States. J Phys Chem A 2019; 123:10131-10138. [DOI: 10.1021/acs.jpca.9b08974] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Affiliation(s)
- Divya Tripathi
- Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
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14
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Cheng L. A study of non-iterative triples contributions in relativistic equation-of-motion coupled-cluster calculations using an exact two-component Hamiltonian with atomic mean-field spin-orbit integrals: Application to uranyl and other heavy-element compounds. J Chem Phys 2019; 151:104103. [DOI: 10.1063/1.5113796] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Lan Cheng
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, USA
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15
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Landau A, Haritan I. The Clusterization Technique: A Systematic Search for the Resonance Energies Obtained via Padé. J Phys Chem A 2019; 123:5091-5105. [DOI: 10.1021/acs.jpca.8b12573] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Arie Landau
- Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa, 3200003, Israel
| | - Idan Haritan
- Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa, 3200003, Israel
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16
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Dutta AK, Saitow M, Demoulin B, Neese F, Izsák R. A domain-based local pair natural orbital implementation of the equation of motion coupled cluster method for electron attached states. J Chem Phys 2019; 150:164123. [DOI: 10.1063/1.5089637] [Citation(s) in RCA: 45] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
| | - Masaaki Saitow
- Department of Chemistry, Graduate School of Science, Nagoya University, 1-5 Chikusa-ku, Nagoya, Aichi 464-8602, Japan
| | - Baptiste Demoulin
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm Platz 1, 45470 Mülheim an der Ruhr, Germany
| | - Frank Neese
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm Platz 1, 45470 Mülheim an der Ruhr, Germany
| | - Róbert Izsák
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm Platz 1, 45470 Mülheim an der Ruhr, Germany
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17
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Peng B, Kowalski K. Green's function coupled cluster formulations utilizing extended inner excitations. J Chem Phys 2018; 149:214102. [PMID: 30525725 DOI: 10.1063/1.5046529] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this paper, we analyze new approximations of the Green's function coupled cluster (GFCC) method where locations of poles are improved by extending the excitation level of inner auxiliary operators. These new GFCC approximations can be categorized as the GFCC-i(n, m) method, where the excitation level of the inner auxiliary operators (m) used to describe the ionization potential and electron affinity effects in the N - 1 and N + 1 particle spaces is higher than the excitation level (n) used to correlate the ground-state coupled cluster wave function for the N-electron system. Furthermore, we reveal the so-called "n + 1" rule in this category [or the GFCC-i(n, n + 1) method], which states that in order to maintain size-extensivity of the Green's function matrix elements, the excitation level of inner auxiliary operators X p (ω) and Y q (ω) cannot exceed n + 1. We also discuss the role of the moments of coupled cluster equations that in a natural way assures these properties. Our implementation in the present study is focused on the first approximation in this GFCC category, i.e., the GFCC-i(2,3) method. As our first practice, we use the GFCC-i(2,3) method to compute the spectral functions for the N2 and CO molecules in the inner and outer valence regimes. In comparison with the Green's function coupled cluster singles, doubles results, the computed spectral functions from the GFCC-i(2,3) method exhibit better agreement with the experimental results and other theoretical results, particularly in terms of providing higher resolution of satellite peaks and more accurate relative positions of these satellite peaks with respect to the main peak positions.
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Affiliation(s)
- Bo Peng
- William R. Wiley Environmental Molecular Sciences Laboratory, Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999, Richland, Washington 99352, USA
| | - Karol Kowalski
- William R. Wiley Environmental Molecular Sciences Laboratory, Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999, Richland, Washington 99352, USA
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18
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Benda Z, Rickmeyer K, Jagau TC. Structure Optimization of Temporary Anions. J Chem Theory Comput 2018; 14:3468-3478. [DOI: 10.1021/acs.jctc.8b00128] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Zsuzsanna Benda
- Department of Chemistry, University of Munich (LMU), D-81377 Munich, Germany
| | - Kerstin Rickmeyer
- Department of Chemistry, University of Munich (LMU), D-81377 Munich, Germany
| | - Thomas-C. Jagau
- Department of Chemistry, University of Munich (LMU), D-81377 Munich, Germany
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19
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Fennimore MA, Matsika S. Electronic Resonances of Nucleobases Using Stabilization Methods. J Phys Chem A 2018; 122:4048-4057. [DOI: 10.1021/acs.jpca.8b01523] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
Affiliation(s)
- Mark A. Fennimore
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, United States
| | - Spiridoula Matsika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, United States
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