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Skrzyński G, Musial M. Fock Space Coupled-Cluster Method for the Ground and Excited States of the NaMg + Molecular Cation. J Phys Chem A 2024. [PMID: 39119821 DOI: 10.1021/acs.jpca.4c04275] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 08/10/2024]
Abstract
This study presents a theoretical investigation of the potential energy curves (PECs) and spectroscopic constants of the NaMg+ molecular cation using the intermediate Hamiltonian Fock space coupled-cluster method with singles and doubles within the (2,0) sector [IH-FS-CCSD(2,0)]. The NaMg+ cation has gained scientific interest due to its potential applications in ultracold chemistry, yet it remains experimentally unexplored. We computed 20 lowest-lying PECs and assigned them to 10 dissociation limits. Our results demonstrated high accuracy, and computed curves are smooth and continuous over the entire range of interatomic distances. The study validates the effectiveness of the IH-FS-CCSD(2,0) method in describing PECs of diatomic molecular cations composed of alkali and alkaline earth metals and provides a solid theoretical foundation for further studies of NaMg+ and similar systems.
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Affiliation(s)
- Grzegorz Skrzyński
- Institute of Chemistry, University of Silesia in Katowice, Szkolna 9, 40-006 Katowice, Poland
| | - Monika Musial
- Institute of Chemistry, University of Silesia in Katowice, Szkolna 9, 40-006 Katowice, Poland
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2
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Manisha, Manohar PU. Spin-flip equation-of-motion coupled cluster method with singles, doubles and (full) triples: computational implementation and some pilot applications. Phys Chem Chem Phys 2024; 26:21204-21212. [PMID: 39073075 DOI: 10.1039/d4cp02265c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/30/2024]
Abstract
We present our computational implementation of the spin-flip (SF) equation-of-motion (EOM) coupled-cluster (CC) method with singles, doubles, and (full) triples (SDT) within Q-CHEM. The inclusion of triples not only enhances the quantitative accuracy of the SF-EOM-CCSD method but also provides correct qualitative trends in the energy gaps between strongly degenerate states. To assess the accuracy, we compare our SF-EOM-CCSDT results with full configuration interaction (FCI) and complete-active-space self-consistent field second-order (CASSCF-SO) CI benchmarks to study the adiabatic energy gaps in CH2 and NH2+ diradicals, vertical excitation energies in CH radicals and the bond dissociation of the HF molecule. We have implemented SF-EOM-CCSDT using both the conventional double precision (DP) and the single precision (SP) algorithms. The use of SP does not introduce any significant errors in energies and energy gaps, and, due to low cost (relative to DP), turns out to be a promising approach to widen the applicability of EOM-CCSDT to bigger molecules.
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Affiliation(s)
- Manisha
- Department of Chemistry, Birla Institute of Technology & Science-Pilani, Pilani, Rajasthan 333031, India.
| | - Prashant Uday Manohar
- Department of Chemistry, Birla Institute of Technology & Science-Pilani, Pilani, Rajasthan 333031, India.
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3
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Loos PF, Jacquemin D. A mountaineering strategy to excited states: Accurate vertical transition energies and benchmarks for substituted benzenes. J Comput Chem 2024; 45:1791-1805. [PMID: 38661240 DOI: 10.1002/jcc.27358] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/24/2024] [Revised: 02/09/2024] [Accepted: 02/15/2024] [Indexed: 04/26/2024]
Abstract
In an effort to expand the existing QUEST database of accurate vertical transition energies [Véril et al. WIREs Comput. Mol. Sci. 2021, 11, e1517], we have modeled more than 100 electronic excited states of different natures (local, charge-transfer, Rydberg, singlet, and triplet) in a dozen of mono- and di-substituted benzenes, including aniline, benzonitrile, chlorobenzene, fluorobenzene, nitrobenzene, among others. To establish theoretical best estimates for these vertical excitation energies, we have employed advanced coupled-cluster methods including iterative triples (CC3 and CCSDT) and, when technically possible, iterative quadruples (CC4). These high-level computational approaches provide a robust foundation for benchmarking a series of popular wave function methods. The evaluated methods all include contributions from double excitations (ADC(2), CC2, CCSD, CIS(D), EOM-MP2, STEOM-CCSD), along with schemes that also incorporate perturbative or iterative triples (ADC(3), CCSDR(3), CCSD(T)(a) ⋆ , and CCSDT-3). This systematic exploration not only broadens the scope of the QUEST database but also facilitates a rigorous assessment of different theoretical approaches in the framework of a homologous chemical series, offering valuable insights into the accuracy and reliability of these methods in such cases. We found that both ADC(2.5) and CCSDT-3 can provide very consistent estimates, whereas among less expensive methods SCS-CC2 is likely the most effective approach. Importantly, we show that some lower order methods may offer reasonable trends in the homologous series while providing quite large average errors, and vice versa. Consequently, benchmarking the accuracy of a model based solely on absolute transition energies may not be meaningful for applications involving a series of similar compounds.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, France
| | - Denis Jacquemin
- Nantes Université, CNRS, CEISAM UMR 6230, Nantes, France
- Institut Universitaire de France (IUF), Paris, France
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4
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Acharya B, Hu BS, Bacca S, Hagen G, Navrátil P, Papenbrock T. Magnetic Dipole Transition in ^{48}Ca. PHYSICAL REVIEW LETTERS 2024; 132:232504. [PMID: 38905663 DOI: 10.1103/physrevlett.132.232504] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2023] [Revised: 03/19/2024] [Accepted: 04/24/2024] [Indexed: 06/23/2024]
Abstract
The magnetic dipole transition strength B(M1) of ^{48}Ca is dominated by a single resonant state at an excitation energy of 10.23 MeV. Experiments disagree about B(M1) and this impacts our understanding of spin flips in nuclei. We performed ab initio computations based on chiral effective field theory and found that B(M1: 0^{+}→1^{+}) lies in the range from 7.0 to 10.2 μ_{N}^{2}. This is consistent with a (γ,n) experiment but larger than results from (e,e^{'}) and (p,p^{'}) scattering. Two-body currents yield no quenching of the B(M1) strength and continuum effects reduce it by about 10%. For a validation of our approach, we computed magnetic moments in ^{47,49}Ca and performed benchmark calculations in light nuclei.
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Affiliation(s)
- B Acharya
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - B S Hu
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - S Bacca
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität Mainz, 55128 Mainz, Germany
- Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - P Navrátil
- TRIUMF, Vancouver, British Columbia V6T 2A3, Canada
| | - T Papenbrock
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
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5
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Kondo Y, Achouri NL, Falou HA, Atar L, Aumann T, Baba H, Boretzky K, Caesar C, Calvet D, Chae H, Chiga N, Corsi A, Delaunay F, Delbart A, Deshayes Q, Dombrádi Z, Douma CA, Ekström A, Elekes Z, Forssén C, Gašparić I, Gheller JM, Gibelin J, Gillibert A, Hagen G, Harakeh MN, Hirayama A, Hoffman CR, Holl M, Horvat A, Horváth Á, Hwang JW, Isobe T, Jiang WG, Kahlbow J, Kalantar-Nayestanaki N, Kawase S, Kim S, Kisamori K, Kobayashi T, Körper D, Koyama S, Kuti I, Lapoux V, Lindberg S, Marqués FM, Masuoka S, Mayer J, Miki K, Murakami T, Najafi M, Nakamura T, Nakano K, Nakatsuka N, Nilsson T, Obertelli A, Ogata K, de Oliveira Santos F, Orr NA, Otsu H, Otsuka T, Ozaki T, Panin V, Papenbrock T, Paschalis S, Revel A, Rossi D, Saito AT, Saito TY, Sasano M, Sato H, Satou Y, Scheit H, Schindler F, Schrock P, Shikata M, Shimizu N, Shimizu Y, Simon H, Sohler D, Sorlin O, Stuhl L, Sun ZH, Takeuchi S, Tanaka M, Thoennessen M, Törnqvist H, Togano Y, Tomai T, Tscheuschner J, Tsubota J, Tsunoda N, Uesaka T, Utsuno Y, Vernon I, Wang H, Yang Z, Yasuda M, Yoneda K, Yoshida S. First observation of 28O. Nature 2023; 620:965-970. [PMID: 37648757 PMCID: PMC10630140 DOI: 10.1038/s41586-023-06352-6] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/13/2022] [Accepted: 06/21/2023] [Indexed: 09/01/2023]
Abstract
Subjecting a physical system to extreme conditions is one of the means often used to obtain a better understanding and deeper insight into its organization and structure. In the case of the atomic nucleus, one such approach is to investigate isotopes that have very different neutron-to-proton (N/Z) ratios than in stable nuclei. Light, neutron-rich isotopes exhibit the most asymmetric N/Z ratios and those lying beyond the limits of binding, which undergo spontaneous neutron emission and exist only as very short-lived resonances (about 10-21 s), provide the most stringent tests of modern nuclear-structure theories. Here we report on the first observation of 28O and 27O through their decay into 24O and four and three neutrons, respectively. The 28O nucleus is of particular interest as, with the Z = 8 and N = 20 magic numbers1,2, it is expected in the standard shell-model picture of nuclear structure to be one of a relatively small number of so-called 'doubly magic' nuclei. Both 27O and 28O were found to exist as narrow, low-lying resonances and their decay energies are compared here to the results of sophisticated theoretical modelling, including a large-scale shell-model calculation and a newly developed statistical approach. In both cases, the underlying nuclear interactions were derived from effective field theories of quantum chromodynamics. Finally, it is shown that the cross-section for the production of 28O from a 29F beam is consistent with it not exhibiting a closed N = 20 shell structure.
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Affiliation(s)
- Y Kondo
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan.
- RIKEN Nishina Center, Saitama, Japan.
| | - N L Achouri
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | - H Al Falou
- Lebanese University, Beirut, Lebanon
- Lebanese-French University of Technology and Applied Sciences, Deddeh, Lebanon
| | - L Atar
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - T Aumann
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
- Helmholtz Research Academy Hesse for FAIR, Darmstadt, Germany
| | - H Baba
- RIKEN Nishina Center, Saitama, Japan
| | - K Boretzky
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - C Caesar
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - D Calvet
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - H Chae
- Institute for Basic Science, Daejeon, Republic of Korea
| | - N Chiga
- RIKEN Nishina Center, Saitama, Japan
| | - A Corsi
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - F Delaunay
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | - A Delbart
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - Q Deshayes
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | | | - C A Douma
- ESRIG, University of Groningen, Groningen, The Netherlands
| | - A Ekström
- Institutionen för Fysik, Chalmers Tekniska Högskola, Göteborg, Sweden
| | | | - C Forssén
- Institutionen för Fysik, Chalmers Tekniska Högskola, Göteborg, Sweden
| | - I Gašparić
- RIKEN Nishina Center, Saitama, Japan
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
- Ruđer Bošković Institute, Zagreb, Croatia
| | - J-M Gheller
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - J Gibelin
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | - A Gillibert
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN, USA
| | - M N Harakeh
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
- ESRIG, University of Groningen, Groningen, The Netherlands
| | - A Hirayama
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - C R Hoffman
- Physics Division, Argonne National Laboratory, Argonne, IL, USA
| | - M Holl
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - A Horvat
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - Á Horváth
- Eötvös Loránd University, Budapest, Hungary
| | - J W Hwang
- Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon, Republic of Korea
- Department of Physics and Astronomy, Seoul National University, Seoul, Republic of Korea
| | - T Isobe
- RIKEN Nishina Center, Saitama, Japan
| | - W G Jiang
- Institutionen för Fysik, Chalmers Tekniska Högskola, Göteborg, Sweden
| | - J Kahlbow
- RIKEN Nishina Center, Saitama, Japan
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | | | - S Kawase
- Department of Advanced Energy Engineering Science, Kyushu University, Fukuoka, Japan
| | - S Kim
- Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon, Republic of Korea
- Department of Physics and Astronomy, Seoul National University, Seoul, Republic of Korea
| | | | - T Kobayashi
- Department of Physics, Tohoku University, Miyagi, Japan
| | - D Körper
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - S Koyama
- Department of Physics, The University of Tokyo, Tokyo, Japan
| | - I Kuti
- Atomki, Debrecen, Hungary
| | - V Lapoux
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - S Lindberg
- Institutionen för Fysik, Chalmers Tekniska Högskola, Göteborg, Sweden
| | - F M Marqués
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | - S Masuoka
- Center for Nuclear Study, The University of Tokyo, Saitama, Japan
| | - J Mayer
- Institut für Kernphysik, Universität zu Köln, Köln, Germany
| | - K Miki
- Department of Physics, Tohoku University, Miyagi, Japan
| | - T Murakami
- Department of Physics, Kyoto University, Kyoto, Japan
| | - M Najafi
- ESRIG, University of Groningen, Groningen, The Netherlands
| | - T Nakamura
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
- RIKEN Nishina Center, Saitama, Japan
| | - K Nakano
- Department of Advanced Energy Engineering Science, Kyushu University, Fukuoka, Japan
| | - N Nakatsuka
- Department of Physics, Kyoto University, Kyoto, Japan
| | - T Nilsson
- Institutionen för Fysik, Chalmers Tekniska Högskola, Göteborg, Sweden
| | - A Obertelli
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - K Ogata
- Department of Physics, Kyushu University, Fukuoka, Japan
- Research Center for Nuclear Physics, Osaka University, Osaka, Japan
- Department of Physics, Osaka City University, Osaka, Japan
| | - F de Oliveira Santos
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Caen, France
| | - N A Orr
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | - H Otsu
- RIKEN Nishina Center, Saitama, Japan
| | - T Otsuka
- RIKEN Nishina Center, Saitama, Japan
- Department of Physics, The University of Tokyo, Tokyo, Japan
| | - T Ozaki
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - V Panin
- RIKEN Nishina Center, Saitama, Japan
| | - T Papenbrock
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN, USA
| | - S Paschalis
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - A Revel
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Caen, France
| | - D Rossi
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - A T Saito
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - T Y Saito
- Department of Physics, The University of Tokyo, Tokyo, Japan
| | - M Sasano
- RIKEN Nishina Center, Saitama, Japan
| | - H Sato
- RIKEN Nishina Center, Saitama, Japan
| | - Y Satou
- Department of Physics and Astronomy, Seoul National University, Seoul, Republic of Korea
| | - H Scheit
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - F Schindler
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - P Schrock
- Center for Nuclear Study, The University of Tokyo, Saitama, Japan
| | - M Shikata
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - N Shimizu
- Center for Computational Sciences, University of Tsukuba, Ibaraki, Japan
| | - Y Shimizu
- RIKEN Nishina Center, Saitama, Japan
| | - H Simon
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | | | - O Sorlin
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Caen, France
| | - L Stuhl
- RIKEN Nishina Center, Saitama, Japan
- Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon, Republic of Korea
| | - Z H Sun
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN, USA
| | - S Takeuchi
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - M Tanaka
- Department of Physics, Osaka University, Osaka, Japan
| | - M Thoennessen
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, MI, USA
| | - H Törnqvist
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - Y Togano
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
- Department of Physics, Rikkyo University, Tokyo, Japan
| | - T Tomai
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - J Tscheuschner
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - J Tsubota
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - N Tsunoda
- Center for Nuclear Study, The University of Tokyo, Saitama, Japan
| | - T Uesaka
- RIKEN Nishina Center, Saitama, Japan
| | - Y Utsuno
- Advanced Science Research Center, Japan Atomic Energy Agency, Ibaraki, Japan
| | - I Vernon
- Department of Mathematical Sciences, Durham University, Durham, UK
| | - H Wang
- RIKEN Nishina Center, Saitama, Japan
| | - Z Yang
- RIKEN Nishina Center, Saitama, Japan
| | - M Yasuda
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - K Yoneda
- RIKEN Nishina Center, Saitama, Japan
| | - S Yoshida
- Liberal and General Education Center, Institute for Promotion of Higher Academic Education, Utsunomiya University, Tochigi, Japan
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6
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Rishi V, Ravi M, Perera A, Bartlett RJ. Dark Doubly Excited States with Modified Coupled Cluster Models: A Reliable Compromise between Cost and Accuracy? J Phys Chem A 2023; 127:828-834. [PMID: 36640093 DOI: 10.1021/acs.jpca.2c07697] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Abstract
To treat doubly excited states, the treatment of triple excitations is considered necessary in the framework of equation-of-motion coupled cluster (EOM-CC) methods. We investigate models without explicit triples and seek quantitative measure for the performance of EOM based on CC with singles and doubles (CCSD) or modified CCSD (Distinguishable Cluster Approximation) approaches for states with predominant double excitation character. We also test the efficacy of including triples in perturbative manner through EOM-CCSD(T) and in an iterative way through EOM-CCSDT-3 method. Extended similarity transformed EOM-CCSD(EXT-STEOM-CCSD) method is also tested and provides superior quality results at comparatively low cost. We use the QUEST2 benchmark set of double excitations proposed by Loos et al. [ J. Chem. Theory Comput.2019, 15, 1939] to investigate the performance of methods such as EOM-CCSD, EOM-DCSD, EXT-STEOM-CCSD, ΔCCSD, and ΔDCSD. We also test a tailored CC approach, ΔpairCCD-TCCSD.
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Affiliation(s)
- Varun Rishi
- Quantum Theory Project, University of Florida, Gainesville, Florida32611, United States
| | - Moneesha Ravi
- Quantum Theory Project, University of Florida, Gainesville, Florida32611, United States
| | - Ajith Perera
- Quantum Theory Project, University of Florida, Gainesville, Florida32611, United States
| | - Rodney J Bartlett
- Quantum Theory Project, University of Florida, Gainesville, Florida32611, United States
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7
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Park YC, Perera A, Bartlett RJ. Density functionals for core excitations. J Chem Phys 2022; 157:094107. [PMID: 36075732 DOI: 10.1063/5.0111095] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The core excitation energies and related principal ionization energies are obtained for selected molecules using several density functionals and compared with benchmark equation-of-motion coupled cluster (EOM-CC) results. Both time-dependent and time-independent formulations of excitation spectra in the time-dependent density functional theory and the EOM-CC are employed to obtain excited states that are not always easily accessible with the time-independent method. Among those functionals, we find that the QTP(00) functional, which is only parameterized to reproduce the five IPs of water, provides excellent core IPs and core excitation energies, consistently yielding better excitation and ionization energies. We show that orbital eigenvalues of KS density functional theory play an important role in determining the accuracy of the excitation and photoelectron spectra.
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Affiliation(s)
- Young Choon Park
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611-8435, USA
| | - Ajith Perera
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611-8435, USA
| | - Rodney J Bartlett
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611-8435, USA
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8
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Paul AC, Folkestad SD, Myhre RH, Koch H. Oscillator Strengths in the Framework of Equation of Motion Multilevel CC3. J Chem Theory Comput 2022; 18:5246-5258. [PMID: 35921447 PMCID: PMC9476665 DOI: 10.1021/acs.jctc.2c00164] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
![]()
We present an efficient implementation of the equation
of motion
oscillator strengths for the closed-shell multilevel coupled cluster
singles and doubles with perturbative triples method (MLCC3) in the
electronic structure program eT. The orbital space is split into an active part treated with
CC3 and an inactive part computed at the coupled cluster singles and
doubles (CCSD) level of theory. Asymptotically, the CC3 contribution
scales as floating-point operations, where nV is the total number of virtual orbitals while nv and no are the
number of active virtual and occupied orbitals, respectively. The
CC3 contribution, thus, only scales linearly with the full system
size and can become negligible compared to the cost of CCSD. We demonstrate
the capabilities of our implementation by calculating the ultraviolet–visible
spectrum of azobenzene and a core excited state of betaine 30 with
more than 1000 molecular orbitals.
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Affiliation(s)
- Alexander C Paul
- Department of Chemistry, Norwegian University of Science and Technology, NTNU, 7491 Trondheim, Norway
| | - Sarai Dery Folkestad
- Department of Chemistry, Norwegian University of Science and Technology, NTNU, 7491 Trondheim, Norway
| | - Rolf H Myhre
- Department of Chemistry, Norwegian University of Science and Technology, NTNU, 7491 Trondheim, Norway
| | - Henrik Koch
- Department of Chemistry, Norwegian University of Science and Technology, NTNU, 7491 Trondheim, Norway.,Scuola Normale Superiore, Piazza dei Cavaleri 7, 56126 Pisa, Italy
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Ravi M, Park YC, Perera A, Bartlett RJ. The intermediate state approach for doubly excited dark states in EOM-coupled-cluster theory. J Chem Phys 2022; 156:201102. [DOI: 10.1063/5.0091715] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Solution of dark, doubly excited states using equation-of-motion coupled-cluster (EOM-CC) usually equires at least triple excitations or even quadruples beyond the standard singles and doubles (EOM-CCSD) for an appropriate treatment. A new route to obtain these doubly excited states using EOM-CCSD is demonstrated. Traditionally, EOM-CC is performed on a closed shell reference state that has a well-described single reference CC wavefunction. In this Communication, we attempt to use low spin open-shell states such as the MS = 0 triplet and open-shell singlet as a reference state. Using this intermediate excited state as a reference state provides us with the benefit of obtaining a doubly excited state, as a single excitation at the cost of EOM-CCSD.
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Affiliation(s)
- Moneesha Ravi
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
| | - Young choon Park
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
| | - Ajith Perera
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
| | - Rodney J. Bartlett
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
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10
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Sarkar R, Loos PF, Boggio-Pasqua M, Jacquemin D. Assessing the Performances of CASPT2 and NEVPT2 for Vertical Excitation Energies. J Chem Theory Comput 2022; 18:2418-2436. [PMID: 35333060 DOI: 10.1021/acs.jctc.1c01197] [Citation(s) in RCA: 25] [Impact Index Per Article: 12.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
Abstract
Methods able to simultaneously account for both static and dynamic electron correlations have often been employed, not only to model photochemical events but also to provide reference values for vertical transition energies, hence allowing benchmarking of lower-order models. In this category, both the complete-active-space second-order perturbation theory (CASPT2) and the N-electron valence state second-order perturbation theory (NEVPT2) are certainly popular, the latter presenting the advantage of not requiring the application of the empirical ionization-potential-electron-affinity (IPEA) and level shifts. However, the actual accuracy of these multiconfigurational approaches is not settled yet. In this context, to assess the performances of these approaches, the present work relies on highly accurate (±0.03 eV) aug-cc-pVTZ vertical transition energies for 284 excited states of diverse character (174 singlet, 110 triplet, 206 valence, 78 Rydberg, 78 n → π*, 119 π → π*, and 9 double excitations) determined in 35 small- to medium-sized organic molecules containing from three to six non-hydrogen atoms. The CASPT2 calculations are performed with and without IPEA shift and compared to the partially contracted (PC) and strongly contracted (SC) variants of NEVPT2. We find that both CASPT2 with IPEA shift and PC-NEVPT2 provide fairly reliable vertical transition energy estimates, with slight overestimations and mean absolute errors of 0.11 and 0.13 eV, respectively. These values are found to be rather uniform for the various subgroups of transitions. The present work completes our previous benchmarks focused on single-reference wave function methods ( J. Chem. Theory Comput. 2018, 14, 4360; J. Chem. Theory Comput. 2020, 16, 1711), hence allowing for a fair comparison between various families of electronic structure methods. In particular, we show that ADC(2), CCSD, and CASPT2 deliver similar accuracies for excited states with a dominant single-excitation character.
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Affiliation(s)
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, CNRS, UPS, Université de Toulouse, Toulouse 31062, France
| | - Martial Boggio-Pasqua
- Laboratoire de Chimie et Physique Quantiques, CNRS, UPS, Université de Toulouse, Toulouse 31062, France
| | - Denis Jacquemin
- Université de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France
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11
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Mester D, Kállay M. Charge-Transfer Excitations within Density Functional Theory: How Accurate Are the Most Recommended Approaches? J Chem Theory Comput 2022; 18:1646-1662. [PMID: 35200021 PMCID: PMC8908740 DOI: 10.1021/acs.jctc.1c01307] [Citation(s) in RCA: 15] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
![]()
The performance of
the most recent density functionals is assessed
for charge-transfer (CT) excitations using comprehensive intra- and
intermolecular CT benchmark sets with high-quality reference values.
For this comparison, the state-of-the-art range-separated (RS) and
long-range-corrected (LC) double hybrid (DH) approaches are selected,
and global DH and LC hybrid functionals are also inspected. The correct
long-range behavior of the exchange–correlation (XC) energy
is extensively studied, and various CT descriptors are compared as
well. Our results show that the most robust performance is attained
by RS-PBE-P86/SOS-ADC(2), as it is suitable to describe both types
of CT excitations with outstanding accuracy. Furthermore, concerning
the intramolecular transitions, unexpectedly excellent results are
obtained for most of the global DHs, but their limitations are also
demonstrated for bimolecular complexes. Despite the outstanding performance
of the LC-DH methods for common intramolecular excitations, serious
deficiencies are pointed out for intermolecular CT transitions, and
the wrong long-range behavior of the XC energy is revealed. The application
of LC hybrids to such transitions is not recommended in any respect.
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Affiliation(s)
- Dávid Mester
- Department of Physical Chemistry and Materials Science, Faculty of Chemical Technology and Biotechnology, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
| | - Mihály Kállay
- Department of Physical Chemistry and Materials Science, Faculty of Chemical Technology and Biotechnology, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
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12
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Mester D, Kállay M. Accurate Spectral Properties within Double-Hybrid Density Functional Theory: A Spin-Scaled Range-Separated Second-Order Algebraic-Diagrammatic Construction-Based Approach. J Chem Theory Comput 2022; 18:865-882. [PMID: 35023739 PMCID: PMC8830052 DOI: 10.1021/acs.jctc.1c01100] [Citation(s) in RCA: 12] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Abstract
Our second-order algebraic-diagrammatic construction [ADC(2)]-based double-hybrid (DH) ansatz (J. Chem. Theory Comput. 2019, 15, 4440. DOI: 10.1021/acs.jctc.9b00391) is combined with range-separation techniques. In the present scheme, both the exchange and the correlation contributions are range-separated, while spin-scaling approaches are also applied. The new methods are thoroughly tested for the most popular benchmark sets including 250 singlet and 156 triplet excitations, as well as 80 oscillator strengths. It is demonstrated that the range separation for the correlation contributions is highly recommended for both the genuine and the ADC(2)-based DH approaches. Our results show that the latter scheme slightly but consistently outperforms the former one for single excitation dominated transitions. Furthermore, states with larger fractions of double excitations are assessed as well, and challenging charge-transfer excitations are also discussed, where the recently proposed spin-scaled long-range corrected DHs fail. The suggested iterative fourth-power scaling RS-PBE-P86/SOS-ADC(2) method, using only three adjustable parameters, provides the most robust and accurate excitation energies within the DH theory. In addition, the relative error of the oscillator strengths is reduced by 65% compared to the best genuine DH functionals.
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Affiliation(s)
- Dávid Mester
- Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
| | - Mihály Kállay
- Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
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13
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Loos PF, Jacquemin D. A Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Bicyclic Systems. J Phys Chem A 2021; 125:10174-10188. [PMID: 34792354 DOI: 10.1021/acs.jpca.1c08524] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Abstract
Pursuing our efforts to define highly accurate estimates of the relative energies of excited states in organic molecules, we investigate, with coupled-cluster methods including iterative triples (CC3 and CCSDT), the vertical excitation energies of 10 bicyclic molecules (azulene, benzoxadiazole, benzothiadiazole, diketopyrrolopyrrole, furofuran, phthalazine, pyrrolopyrrole, quinoxaline, tetrathiafulvalene, and thienothiophene). In total, we provide aug-cc-pVTZ reference vertical excitation energies for 91 excited states of these relatively large systems. We use these reference values to benchmark various wave function methods, i.e., CIS(D), EOM-MP2, CC2, CCSD, STEOM-CCSD, CCSD(T)(a)*, CCSDR(3), CCSDT-3, ADC(2), ADC(2.5), and ADC(3), as well as some spin-scaled variants of both CC2 and ADC(2). These results are compared to those obtained previously on smaller molecules. It turns out that while the accuracy of some methods is almost unaffected by system size, e.g., CIS(D) and CC3, the performance of others can significantly deteriorate as the systems grow, e.g., EOM-MP2 and CCSD, whereas others, e.g., ADC(2) and CC2, become more accurate for larger derivatives.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, F-31062, Toulouse, France
| | - Denis Jacquemin
- Université de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France
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14
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Basumallick S, Pal S. Partial fourth order schemes of triples in Fock-space coupled-cluster theory: Ionization potentials of ozone. J INDIAN CHEM SOC 2021. [DOI: 10.1016/j.jics.2021.100166] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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15
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Three-Body Excitations in Fock-Space Coupled-Cluster: Fourth Order Perturbation Correction to Electron Affinity and Its Relation to Bondonic Formalism. Int J Mol Sci 2021; 22:ijms22168953. [PMID: 34445657 PMCID: PMC8396530 DOI: 10.3390/ijms22168953] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/28/2021] [Revised: 08/15/2021] [Accepted: 08/17/2021] [Indexed: 11/17/2022] Open
Abstract
In this paper, we present a formulation of highly correlated Fock-space multi-reference coupled-cluster (FSMRCC) methods, including approximate triples on top of the FSMRCC with singles and doubles, which correct the electron affinities by at least at third and up to the fourth order in perturbation. We discuss various partial fourth-order schemes, which are reliable and yet computationally more efficient than the full fourth-order triples scheme. The third-order scheme is called MRCCSD+T*(3). We present two approximate fourth-order schemes, MRCCSD+T*−a(4) and MRCCSD+T*(4). The results that are presented allow one to choose an appropriate fourth-order scheme, which is less expensive and right for the problem. All these schemes are based on the effective Hamiltonian scheme, and provide a direct calculation of the vertical electron affinities. We apply these schemes to a prototype Li2 molecule, using four different basis sets, as well as BeO and CH+. We have calculated the vertical electron affinities of Li2 at the geometry of the neutral Li2 molecule. We also present the vertical ionization potentials of the Li2 anion at the geometry of the anion ground state. We have also shown how to calculate adiabatic electron affinity, though in that case we lose the advantages of direct calculation. BeO has been examined in two basis sets. For CH+, four different basis sets have been used. We have presented the partial fourth-order schemes to the EA in all the basis sets. The results are analyzed to illustrate the importance of triples, as well as highlight computationally efficient partial fourth-order schemes. The choice of the basis set on the electron affinity calculation is also emphasized. Comparisons with available experimental and theoretical results are presented. The general fourth-order schemes, which are conceptually equivalent with the Fock-space multi-reference coupled-cluster singles, doubles, and triplets (MRCCSD+T) methods, based on bondonic formalism, are also presented here in a composed way, for quantum electronic affinity.
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16
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Mester D, Kállay M. Spin-Scaled Range-Separated Double-Hybrid Density Functional Theory for Excited States. J Chem Theory Comput 2021; 17:4211-4224. [PMID: 34152771 PMCID: PMC8280718 DOI: 10.1021/acs.jctc.1c00422] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2021] [Indexed: 11/28/2022]
Abstract
Our recently presented range-separated (RS) double-hybrid (DH) time-dependent density functional approach [J. Chem. Theory Comput. 17, 927 (2021)] is combined with spin-scaling techniques. The proposed spin-component-scaled (SCS) and scaled-opposite-spin (SOS) variants are thoroughly tested for almost 500 excitations including the most challenging types. This comprehensive study provides useful information not only about the new approaches but also about the most prominent methods in the DH class. The benchmark calculations confirm the robustness of the RS-DH ansatz, while several tendencies and deficiencies are pointed out for the existing functionals. Our results show that the SCS variant consistently improves the results, while the SOS variant preserves the benefits of the original RS-DH method reducing its computational expenses. It is also demonstrated that, besides our approaches, only the nonempirical functionals provide balanced performance for general applications, while particular methods are only suggested for certain types of excitations.
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Affiliation(s)
- Dávid Mester
- Department of Physical Chemistry and
Materials Science, Budapest University of
Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
| | - Mihály Kállay
- Department of Physical Chemistry and
Materials Science, Budapest University of
Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
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17
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Guo M, Wang Z, Wang F. Stationary Points on Potential Energy Surface of Cyclic C 3H 3 with Coupled-Cluster Approaches and Density Functional Theory. J Phys Chem A 2021; 125:4079-4088. [PMID: 33973772 DOI: 10.1021/acs.jpca.1c01007] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Cyclic C3H3 is the simplest cyclic hydrocarbon, but its configuration is complicated. The ground 2E″ state at the equilateral triangle geometry with D3h symmetry undergoes both Jahn-Teller (JT) distortion and pseudo-Jahn-Teller (PJT) distortion to structures with C3v, C2v, Cs, or C2 symmetry. Previous works using complete active space self-consistent field (CASSCF) or multiconfiguration SCF (MCSCF) differ on the characteristics of these structures. To clarify the characteristics of these stationary points on the potential energy surface (PES) of this radical, coupled-cluster methods CCSD, CCSD(T), and EOMEA/IP-CCSD as well as density functional theory are employed to calculate their geometries, harmonic frequencies, and relative energies. Deformations between these stationary points due to JT and PJT effects are analyzed in detail. Most of the results with these methods are consistent with each other, except for the b2 mode of the 2B1 state with C2v symmetry. CCSD and CCSD(T) provide an imaginary frequency for this vibrational mode, while it is calculated to be real with the other methods as well as with EOM-CCSDT-3. This may be related to unstable reference in CCSD and CCSD(T) calculations. On the other hand, most of the employed exchange-correlation functionals provide reliable results on the characteristics of these stationary points. Our results show that the 2A' state with Cs symmetry is the only minimum structure on the PES of cyclic C3H3. The 2A2 and 2B1 states of the C2v structure are second-order saddle points, while both the 2A state of the C2 structure and the 2A″ state of the Cs structure are transition states connecting the global minimum 2A' state.
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Affiliation(s)
- Minggang Guo
- Institute of Atomic and Molecular Physics, Key Laboratory of High Energy Density Physics and Technology, Ministry of Education, Sichuan University, Chengdu, People's Republic of China, 610065
| | - Zhifan Wang
- College of Chemistry and Life Science, Chengdu Normal University, Chengdu, People's Republic of China, 611130.,School of Electronic Engineering, Chengdu Technological University, Chengdu, People's Republic of China, 611730
| | - Fan Wang
- Institute of Atomic and Molecular Physics, Key Laboratory of High Energy Density Physics and Technology, Ministry of Education, Sichuan University, Chengdu, People's Republic of China, 610065
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18
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Loos PF, Comin M, Blase X, Jacquemin D. Reference Energies for Intramolecular Charge-Transfer Excitations. J Chem Theory Comput 2021; 17:3666-3686. [DOI: 10.1021/acs.jctc.1c00226] [Citation(s) in RCA: 20] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, F-31400 Toulouse, France
| | | | - Xavier Blase
- Univ. Grenoble Alpes, CNRS, Inst NEEL, F-38042 Grenoble, France
| | - Denis Jacquemin
- Université de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France
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19
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Véril M, Scemama A, Caffarel M, Lipparini F, Boggio‐Pasqua M, Jacquemin D, Loos P. QUESTDB
: A database of highly accurate excitation energies for the electronic structure community. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2021. [DOI: 10.1002/wcms.1517] [Citation(s) in RCA: 31] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Mickaël Véril
- Laboratoire de Chimie et Physique Quantiques Université de Toulouse, CNRS, UPS Toulouse France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques Université de Toulouse, CNRS, UPS Toulouse France
| | - Michel Caffarel
- Laboratoire de Chimie et Physique Quantiques Université de Toulouse, CNRS, UPS Toulouse France
| | - Filippo Lipparini
- Dipartimento di Chimica e Chimica Industriale University of Pisa Pisa Italy
| | - Martial Boggio‐Pasqua
- Laboratoire de Chimie et Physique Quantiques Université de Toulouse, CNRS, UPS Toulouse France
| | | | - Pierre‐François Loos
- Laboratoire de Chimie et Physique Quantiques Université de Toulouse, CNRS, UPS Toulouse France
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20
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Mester D, Kállay M. A Simple Range-Separated Double-Hybrid Density Functional Theory for Excited States. J Chem Theory Comput 2021; 17:927-942. [PMID: 33400872 PMCID: PMC7884002 DOI: 10.1021/acs.jctc.0c01135] [Citation(s) in RCA: 29] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2020] [Indexed: 01/12/2023]
Abstract
A simple and robust range-separated (RS) double-hybrid (DH) time-dependent density functional approach is presented for the accurate calculation of excitation energies of molecules within the Tamm-Dancoff approximation. The scheme can be considered as an excited-state extension of the ansatz proposed by Toulouse and co-workers [J. Chem. Phys. 2018, 148, 164105], which is based on the two-parameter decomposition of the Coulomb potential, for which both the exchange and correlation contributions are range-separated. A flexible and efficient implementation of the new scheme is also presented, which facilitates its extension to any combination of exchange and correlation functionals. The performance of the new approximation is tested for singlet excitations on several benchmark compilations and thoroughly compared to that of representative DH, RS hybrid, and RS DH functionals. The one-electron basis set dependence and computation times are also assessed. Our results show that the new approach improves on standard DHs in most cases, and it can provide a more robust and accurate alternative. In addition, on average, it noticeably surpasses the existing RS hybrid and RS DH functionals.
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Affiliation(s)
- Dávid Mester
- Department of Physical Chemistry and
Materials Science, Budapest University of
Technology and Economics, P.O. Box 91, Budapest, H-1521, Hungary
| | - Mihály Kállay
- Department of Physical Chemistry and
Materials Science, Budapest University of
Technology and Economics, P.O. Box 91, Budapest, H-1521, Hungary
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21
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Ouyang Z, Xie C. Reinterpreting the vibrational structure in the electronic spectrum of the propargyl cation (H 2C 3H +) using an efficient and accurate quantum model. J Chem Phys 2021; 154:044308. [PMID: 33514083 DOI: 10.1063/5.0037571] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The B̃1A1 ← X̃1A1 absorption spectra of propargyl cations H2C3H+ and D2C3D+ were simulated by an efficient two-dimensional (2D) quantum model, which includes the C-C stretch (v5) and the C≡C stretch (v3) vibrational modes. The choice of two modes was based on a scheme that can identify the active modes quantitively by examining the normal coordinate displacements (∆Q) directly based on the ab initio equilibrium geometries and frequencies of the X̃1A1 and B̃1A1 states of H2C3H+. The spectrum calculated by the 2D model was found to be very close to those calculated by all the higher three-dimensional (3D) quantum models (including v5, v3, and another one in 12 modes of H2C3H+), which validates the 2D model. The calculated B̃1A1 ← X̃1A1 absorption spectra of both H2C3H+ and D2C3D+ are in fairly good agreement with experimental results.
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Affiliation(s)
- Zheming Ouyang
- Institute of Modern Physics, Northwest University, Xian, Shaanxi 710127, China
| | - Changjian Xie
- Institute of Modern Physics, Northwest University, Xian, Shaanxi 710127, China
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22
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Tajti A, Kozma B, Szalay PG. Improved Description of Charge-Transfer Potential Energy Surfaces via Spin-Component-Scaled CC2 and ADC(2) Methods. J Chem Theory Comput 2021; 17:439-449. [PMID: 33326229 DOI: 10.1021/acs.jctc.0c01146] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The molecular level understanding of electronic transport properties depends on the reliable theoretical description of charge-transfer (CT)-type electronic states. In this paper, the performance of spin-component-scaled variants of the popular CC2 and ADC(2) methods is evaluated for CT states, following benchmark strategies of earlier studies that revealed a compromised accuracy of the unmodified models. In addition to statistics on the accuracy of vertical excitation energies at equilibrium and infinite separation of bimolecular complexes, potential energy surfaces of the ammonia-fluorine complex are also reported. The results show the capability of spin-component-scaled approaches to reduce the large errors of their regular counterparts to a significant extent, outperforming even the coupled-cluster single and double method in many cases. The cost-effective scaled-opposite-spin variants are found to provide a remarkably good agreement with the CCSDT-3 reference data, thereby being recommended methods of choice in the study of charge-transfer states.
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Affiliation(s)
- Attila Tajti
- Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, P.O. Box 32, H-1518, Budapest 112, Hungary
| | - Balázs Kozma
- Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, P.O. Box 32, H-1518, Budapest 112, Hungary
| | - Péter G Szalay
- Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, P.O. Box 32, H-1518, Budapest 112, Hungary
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23
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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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24
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Guo M, Wang Z, Wang F. Equation-of-motion coupled-cluster theory for double electron attachment with spin-orbit coupling. J Chem Phys 2020; 153:214118. [PMID: 33291924 DOI: 10.1063/5.0032716] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We report implementation of the equation-of-motion coupled-cluster (EOM-CC) method for double electron-attachment (DEA) with spin-orbit coupling (SOC) at the CC singles and doubles (CCSD) level using a closed-shell reference in this work. The DEA operator employed in this work contains two-particle and three-particle one-hole excitations, and SOC is included in post-Hartree-Fock treatment. Time-reversal symmetry and spatial symmetry are exploited to reduce computational cost. The EOM-DEA-CCSD method with SOC allows us to investigate SOC effects of systems with two-unpaired electrons. According to our results on atoms, double ionization potentials (DIPs), excitation energies (EEs), and SO splittings of low-lying states are calculated reliably using the EOM-DEA-CCSD method with SOC. Its accuracy is usually higher than that of EOM-CCSD for EEs or DIPs if the same target can be reached from single excitations by choosing a proper closed-shell reference. However, performance of the EOM-DEA-CCSD method with SOC on molecules is not as good as that for atoms. Bond lengths for the ground and the several lowest excited states of GaH, InH, and TlH are underestimated pronouncedly, although reasonable EEs are obtained, and splittings of the 3Σ- state from the π2 configuration are calculated to be too small with EOM-DEA-CCSD.
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Affiliation(s)
- Minggang Guo
- Institute of Atomic and Molecular Physics, Key Laboratory of High Energy Density Physics and Technology, Ministry of Education, Sichuan University, Chengdu 610065, People's Republic of China
| | - Zhifan Wang
- College of Chemistry and Life Science, Chengdu Normal University, Chengdu 611130, People's Republic of China
| | - Fan Wang
- Institute of Atomic and Molecular Physics, Key Laboratory of High Energy Density Physics and Technology, Ministry of Education, Sichuan University, Chengdu 610065, People's Republic of China
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25
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Yuwono SH, Chakraborty A, Emiliano Deustua J, Shen J, Piecuch P. Accelerating convergence of equation-of-motion coupled-cluster computations using the semi-stochastic CC(P;Q) formalism. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1817592] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Stephen H. Yuwono
- Department of Chemistry, Michigan State University, East Lansing, MI, USA
| | - Arnab Chakraborty
- Department of Chemistry, Michigan State University, East Lansing, MI, USA
| | | | - Jun Shen
- Department of Chemistry, Michigan State University, East Lansing, MI, USA
| | - Piotr Piecuch
- Department of Chemistry, Michigan State University, East Lansing, MI, USA
- Department of Physics & Astronomy, Michigan State University, East Lansing, MI, USA
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26
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Kozma B, Tajti A, Demoulin B, Izsák R, Nooijen M, Szalay PG. A New Benchmark Set for Excitation Energy of Charge Transfer States: Systematic Investigation of Coupled Cluster Type Methods. J Chem Theory Comput 2020; 16:4213-4225. [PMID: 32502351 PMCID: PMC7467641 DOI: 10.1021/acs.jctc.0c00154] [Citation(s) in RCA: 42] [Impact Index Per Article: 10.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
![]()
The
numerous existing publications on benchmarking quantum chemistry
methods for excited states rarely include Charge Transfer (CT) states,
although many interesting phenomena in, e.g., biochemistry and material
physics involve the transfer of electrons between fragments of the
system. Therefore, it is timely to test the accuracy of quantum chemical
methods for CT states, as well. In this study we first propose a new
benchmark set consisting of dimers having low-energy CT states. On
this set, the vertical excitation energy has been calculated with
Coupled Cluster methods including triple excitations (CC3, CCSDT-3,
CCSD(T)(a)*), as well as with methods including full or approximate
doubles (CCSD, STEOM-CCSD, CC2, ADC(2), EOM-CCSD(2)). The results
show that the popular CC2 and ADC(2) methods are much less accurate
for CT states than for valence states. On the other hand, EOM-CCSD
seems to have similar systematic overestimation of the excitation
energies for both types of states. Among the triples methods the novel
EOM-CCSD(T)(a)* method including noniterative triple excitations is
found to stand out with its consistently good performance for all
types of states, delivering essentially EOM-CCSDT quality results.
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Affiliation(s)
- Balázs Kozma
- Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, P.O. Box 32, H-1518, Budapest 112, Hungary
| | - Attila Tajti
- Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, P.O. Box 32, H-1518, Budapest 112, Hungary
| | - Baptiste Demoulin
- Max-Planck-Institut für Kohlenforschung, 45470 Mülheim an der Ruhr, Germany
| | - Róbert Izsák
- Max-Planck-Institut für Kohlenforschung, 45470 Mülheim an der Ruhr, Germany
| | - Marcel Nooijen
- Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - Péter G Szalay
- Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, P.O. Box 32, H-1518, Budapest 112, Hungary
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27
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Affiliation(s)
- Balázs Kozma
- Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, Budapest, Hungary
| | | | - Attila Tajti
- Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, Budapest, Hungary
| | - Péter G. Szalay
- Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, Budapest, Hungary
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28
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Hodecker M, Thielen SM, Liu J, Rehn DR, Dreuw A. Third-Order Unitary Coupled Cluster (UCC3) for Excited Electronic States: Efficient Implementation and Benchmarking. J Chem Theory Comput 2020; 16:3654-3663. [PMID: 32396348 DOI: 10.1021/acs.jctc.0c00335] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The efficient implementation of the third-order unitary coupled-cluster scheme (UCC3) for the calculation of excited electronic states is reported. The UCC3 scheme and its second-order UCC2 variant have been benchmarked and compared to Jacquemin's recently introduced, as well as Thiel's well-established, benchmark sets for excitation energies and oscillator strengths. For the latter, the calculation of 134 excited singlet and 71 excited triplet states of 28 small- to medium-sized organic molecules has revealed that UCC2 exhibits a mean error and standard deviation of 0.36 ± 0.41 eV for singlet states and 0.22 ± 0.21 eV for triplet states, whereas UCC3 revealed an accuracy of 0.06 ± 0.27 eV for singlet and -0.22 ± 0.15 eV for triplet states. In addition, the oscillator strengths obtained with effective transition moments correct through second order in perturbation theory are in very good agreement with literature data.
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Affiliation(s)
- Manuel Hodecker
- Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205, D-69120 Heidelberg, Germany
| | - Sebastian M Thielen
- Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205, D-69120 Heidelberg, Germany
| | - Junzi Liu
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, United States
| | - Dirk R Rehn
- Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205, D-69120 Heidelberg, Germany
| | - Andreas Dreuw
- Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205, D-69120 Heidelberg, Germany
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29
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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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30
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Matthews DA. EOM-CC methods with approximate triple excitations applied to core excitation and ionisation energies. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1771448] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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31
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Perera A, Bartlett RJ, Sanders BA, Lotrich VF, Byrd JN. Advanced concepts in electronic structure (ACES) software programs. J Chem Phys 2020; 152:184105. [DOI: 10.1063/5.0002581] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
Affiliation(s)
- Ajith Perera
- Quantum Theory Project, Department of Chemistry, University of Florida, Gainesville, Florida 32605, USA
| | - Rodney J. Bartlett
- Quantum Theory Project, Department of Chemistry, University of Florida, Gainesville, Florida 32605, USA
| | - Beverly A. Sanders
- Department of Computer and Information Science and Engineering, University of Florida, Gainesville, Florida 32605, USA
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32
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Loos PF, Scemama A, Boggio-Pasqua M, Jacquemin D. Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Exotic Molecules and Radicals. J Chem Theory Comput 2020; 16:3720-3736. [DOI: 10.1021/acs.jctc.0c00227] [Citation(s) in RCA: 37] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, CNRS, UPS, Université de Toulouse, 31000 Toulouse, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques, CNRS, UPS, Université de Toulouse, 31000 Toulouse, France
| | - Martial Boggio-Pasqua
- Laboratoire de Chimie et Physique Quantiques, CNRS, UPS, Université de Toulouse, 31000 Toulouse, France
| | - Denis Jacquemin
- CEISAM UMR 6230, CNRS, Université de Nantes, F-44000 Nantes, France
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33
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Barca GMJ, Bertoni C, Carrington L, Datta D, De Silva N, Deustua JE, Fedorov DG, Gour JR, Gunina AO, Guidez E, Harville T, Irle S, Ivanic J, Kowalski K, Leang SS, Li H, Li W, Lutz JJ, Magoulas I, Mato J, Mironov V, Nakata H, Pham BQ, Piecuch P, Poole D, Pruitt SR, Rendell AP, Roskop LB, Ruedenberg K, Sattasathuchana T, Schmidt MW, Shen J, Slipchenko L, Sosonkina M, Sundriyal V, Tiwari A, Galvez Vallejo JL, Westheimer B, Włoch M, Xu P, Zahariev F, Gordon MS. Recent developments in the general atomic and molecular electronic structure system. J Chem Phys 2020; 152:154102. [PMID: 32321259 DOI: 10.1063/5.0005188] [Citation(s) in RCA: 506] [Impact Index Per Article: 126.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A discussion of many of the recently implemented features of GAMESS (General Atomic and Molecular Electronic Structure System) and LibCChem (the C++ CPU/GPU library associated with GAMESS) is presented. These features include fragmentation methods such as the fragment molecular orbital, effective fragment potential and effective fragment molecular orbital methods, hybrid MPI/OpenMP approaches to Hartree-Fock, and resolution of the identity second order perturbation theory. Many new coupled cluster theory methods have been implemented in GAMESS, as have multiple levels of density functional/tight binding theory. The role of accelerators, especially graphical processing units, is discussed in the context of the new features of LibCChem, as it is the associated problem of power consumption as the power of computers increases dramatically. The process by which a complex program suite such as GAMESS is maintained and developed is considered. Future developments are briefly summarized.
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Affiliation(s)
- Giuseppe M J Barca
- Research School of Computer Science, Australian National University, Canberra, ACT 2601, Australia
| | - Colleen Bertoni
- Argonne Leadership Computing Facility, Argonne National Laboratory, Lemont, Illinois 60439, USA
| | - Laura Carrington
- EP Analytics, 12121 Scripps Summit Dr. Ste. 130, San Diego, California 92131, USA
| | - Dipayan Datta
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Nuwan De Silva
- Department of Physical and Biological Sciences, Western New England University, Springfield, Massachusetts 01119, USA
| | - J Emiliano Deustua
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Dmitri G Fedorov
- Research Center for Computational Design of Advanced Functional Materials (CD-FMat), National Institute of Advanced Industrial Science and Technology (AIST), Umezono 1-1-1, Tsukuba 305-8568, Japan
| | - Jeffrey R Gour
- Microsoft, 15590 NE 31st St., Redmond, Washington 98052, USA
| | - Anastasia O Gunina
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Emilie Guidez
- Department of Chemistry, University of Colorado Denver, Denver, Colorado 80217, USA
| | - Taylor Harville
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Stephan Irle
- Computational Science and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830, USA
| | - Joe Ivanic
- Advanced Biomedical Computational Science, Frederick National Laboratory for Cancer Research, Frederick, Maryland 21702, USA
| | - Karol Kowalski
- Physical Sciences Division, Battelle, Pacific Northwest National Laboratory, K8-91, P.O. Box 999, Richland, Washington 99352, USA
| | - Sarom S Leang
- EP Analytics, 12121 Scripps Summit Dr. Ste. 130, San Diego, California 92131, USA
| | - Hui Li
- Department of Chemistry, University of Nebraska, Lincoln, Nebraska 68588, USA
| | - Wei Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of Ministry of Education, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210023, People's Republic of China
| | - Jesse J Lutz
- Center for Computing Research, Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - Ilias Magoulas
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Joani Mato
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Vladimir Mironov
- Department of Chemistry, Lomonosov Moscow State University, Leninskie Gory 1/3, Moscow 119991, Russian Federation
| | - Hiroya Nakata
- Kyocera Corporation, Research Institute for Advanced Materials and Devices, 3-5-3 Hikaridai Seika-cho, Souraku-gun, Kyoto 619-0237, Japan
| | - Buu Q Pham
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Piotr Piecuch
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - David Poole
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Spencer R Pruitt
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Alistair P Rendell
- Research School of Computer Science, Australian National University, Canberra, ACT 2601, Australia
| | - Luke B Roskop
- Cray Inc., a Hewlett Packard Enterprise Company, 2131 Lindau Ln #1000, Bloomington, Minnesota 55425, USA
| | - Klaus Ruedenberg
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | | | - Michael W Schmidt
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Jun Shen
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Lyudmila Slipchenko
- Department of Chemistry, Purdue University, West Lafayette, Indiana 47907, USA
| | - Masha Sosonkina
- Department of Computational Modeling and Simulation Engineering, Old Dominion University, Norfolk, Virginia 23529, USA
| | - Vaibhav Sundriyal
- Department of Computational Modeling and Simulation Engineering, Old Dominion University, Norfolk, Virginia 23529, USA
| | - Ananta Tiwari
- EP Analytics, 12121 Scripps Summit Dr. Ste. 130, San Diego, California 92131, USA
| | - Jorge L Galvez Vallejo
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Bryce Westheimer
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Marta Włoch
- 530 Charlesina Dr., Rochester, Michigan 48306, USA
| | - Peng Xu
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Federico Zahariev
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
| | - Mark S Gordon
- Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
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34
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Loos PF, Scemama A, Jacquemin D. The Quest for Highly Accurate Excitation Energies: A Computational Perspective. J Phys Chem Lett 2020; 11:2374-2383. [PMID: 32125872 DOI: 10.1021/acs.jpclett.0c00014] [Citation(s) in RCA: 87] [Impact Index Per Article: 21.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/11/2023]
Abstract
We provide an overview of the successive steps that made it possible to obtain increasingly accurate excitation energies with computational chemistry tools, eventually leading to chemically accurate vertical transition energies for small- and medium-size molecules. First, we describe the evolution of ab initio methods employed to define benchmark values, with the original Roos CASPT2 method, then the CC3 method as in the renowned Thiel set, and more recently the resurgence of selected configuration interaction methods. The latter method has been able to deliver consistently, for both single and double excitations, highly accurate excitation energies for small molecules, as well as medium-size molecules with compact basis sets. Second, we describe how these high-level methods and the creation of representative benchmark sets of excitation energies have allowed the fair and accurate assessment of the performance of computationally lighter methods. We conclude by discussing possible future theoretical and technological developments in the field.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Denis Jacquemin
- Université de Nantes, CNRS, CEISAM UMR 6230, F-44000 Nantes, France
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35
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Loos PF, Lipparini F, Boggio-Pasqua M, Scemama A, Jacquemin D. A Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Medium Sized Molecules. J Chem Theory Comput 2020; 16:1711-1741. [PMID: 31986042 DOI: 10.1021/acs.jctc.9b01216] [Citation(s) in RCA: 107] [Impact Index Per Article: 26.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Abstract
Following our previous work focusing on compounds containing up to 3 non-hydrogen atoms [J. Chem. Theory Comput. 2018, 14, 4360-4379], we present here highly accurate vertical transition energies obtained for 27 molecules encompassing 4, 5, and 6 non-hydrogen atoms: acetone, acrolein, benzene, butadiene, cyanoacetylene, cyanoformaldehyde, cyanogen, cyclopentadiene, cyclopropenone, cyclopropenethione, diacetylene, furan, glyoxal, imidazole, isobutene, methylenecyclopropene, propynal, pyrazine, pyridazine, pyridine, pyrimidine, pyrrole, tetrazine, thioacetone, thiophene, thiopropynal, and triazine. To obtain these energies, we use equation-of-motion/linear-response coupled cluster theory up to the highest technically possible excitation order for these systems (CC3, EOM-CCSDT, and EOM-CCSDTQ) and selected configuration interaction (SCI) calculations (with tens of millions of determinants in the reference space), as well as the multiconfigurational n-electron valence state perturbation theory (NEVPT2) method. All these approaches are applied in combination with diffuse-containing atomic basis sets. For all transitions, we report at least CC3/aug-cc-pVQZ vertical excitation energies as well as CC3/aug-cc-pVTZ oscillator strengths for each dipole-allowed transition. We show that CC3 almost systematically delivers transition energies in agreement with higher-level methods with a typical deviation of ±0.04 eV, except for transitions with a dominant double excitation character where the error is much larger. The present contribution gathers a large, diverse, and accurate set of more than 200 highly accurate transition energies for states of various natures (valence, Rydberg, singlet, triplet, n → π*, π → π*, ...). We use this series of theoretical best estimates to benchmark a series of popular methods for excited state calculations: CIS(D), ADC(2), CC2, STEOM-CCSD, EOM-CCSD, CCSDR(3), CCSDT-3, CC3, and NEVPT2. The results of these benchmarks are compared to the available literature data.
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Affiliation(s)
- Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, CNRS et Université Toulouse III - Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France
| | - Filippo Lipparini
- Dipartimento di Chimica e Chimica Industriale, University of Pisa, Via Moruzzi 3, 56124 Pisa, Italy
| | - Martial Boggio-Pasqua
- Laboratoire de Chimie et Physique Quantiques, CNRS et Université Toulouse III - Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France
| | - Anthony Scemama
- Laboratoire de Chimie et Physique Quantiques, CNRS et Université Toulouse III - Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France
| | - Denis Jacquemin
- CEISAM Lab, UMR 6230, Université de Nantes, CNRS, F-44000 Nantes, France
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36
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Shea JAR, Gwin E, Neuscamman E. A Generalized Variational Principle with Applications to Excited State Mean Field Theory. J Chem Theory Comput 2020; 16:1526-1540. [DOI: 10.1021/acs.jctc.9b01105] [Citation(s) in RCA: 25] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Jacqueline A. R. Shea
- Department of Chemistry, University of California, Berkeley, California 94720, United States
| | - Elise Gwin
- Department of Chemistry, University of California, Berkeley, California 94720, United States
| | - Eric Neuscamman
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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37
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Pokhilko P, Izmodenov D, Krylov AI. Extension of frozen natural orbital approximation to open-shell references: Theory, implementation, and application to single-molecule magnets. J Chem Phys 2020; 152:034105. [DOI: 10.1063/1.5138643] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022] Open
Affiliation(s)
- Pavel Pokhilko
- Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, USA
| | - Daniil Izmodenov
- Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, USA
- Department of Chemistry, Lomonosov Moscow State University, Moscow 119991, Russia
| | - Anna I. Krylov
- Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, USA
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38
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Lee J, Small DW, Head-Gordon M. 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. J Chem Phys 2019; 151:214103. [DOI: 10.1063/1.5128795] [Citation(s) in RCA: 31] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Joonho Lee
- Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - David W. Small
- Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley, California 94720, USA and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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39
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Abstract
The attraction density functional theory (DFT) has for electronic structure theory is that it is easier to do computationally than ab initio, correlated wavefunction methods, due to its effective one-particle structure. On the contrary, ab initio theorists insist on the ability to converge to the right answer in appropriate limits, but this requires a treatment of the reduced two-particle density matrix. DFT avoids that by appealing to an "existence" theorem (not a constructive one) that all its effects are subsummed into a DFT functional of the one-particle density. However, the existence of thousands of DFT functionals emphasizes that there is no satisfactory way to systematically improve the Kohn-Sham (KS) version as most changes in parameterization or formulation seldom lead to a new functional that is genuinely better than others. Some researchers in the DFT community try to address this issue by imposing conditions rigorously derived from exact DFT considerations, but to date, no one has shown how this route will ever lead to converged results even for the ground state, much less for all the other electronic states obtained from time-dependent DFT that are critically important for chemistry. On the contrary, coupled-cluster (CC) theory and its equation-of-motion extensions provide rigorous results for both that KS-DFT methods are attempting to emulate. How to use them and their exact formal properties to tie CC theory to an effective one-particle form is the target of this perspective. This route addresses the devil's triangle of KS-DFT problems: the one-particle spectrum, self-interaction, and the integer discontinuity.
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Affiliation(s)
- Rodney J Bartlett
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611-8435, USA
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40
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Park YC, Perera A, Bartlett RJ. Equation of motion coupled-cluster for core excitation spectra: Two complementary approaches. J Chem Phys 2019; 151:164117. [PMID: 31675901 DOI: 10.1063/1.5117841] [Citation(s) in RCA: 25] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
This paper presents core excitation spectra from coupled-cluster (CC) theory obtained from both a time-independent and a new time-dependent formalism. The conventional time-independent CC formulation for excited states is the equation-of-motion (EOM-CC) method whose eigenvalues and eigenvectors describe the core excited states. An alternative computational procedure is offered by a time-dependent CC description. In that case, the dipole transition operator is expressed in the CC effective Hamiltonian form and propagated with respect to time. The absorption spectrum is obtained from the CC dipole autocorrelation function via a Fourier transformation. Comparisons are made among the time-dependent results obtained from second-order perturbation theory, to coupled cluster doubles and their linearized forms (CCD and LCCD), to CC singles and doubles (CCSD) and the linearized form (LCCSD). In the time-independent case, considerations of triples (EOM-CCSDT) and quadruples (EOM-CCSDTQ) are used to approach sub-electron volt accuracy. A particular target is the allyl radical, as an example of an open-shell molecule. As the results have to ultimately be the same, the two procedures offer a complementary approach toward analyzing experimental results.
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Affiliation(s)
- Young Choon Park
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
| | - Ajith Perera
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
| | - Rodney J Bartlett
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
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41
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Wang T, Brédas J. Quantum‐Chemical Evaluation of Impact of Chlorination versus Fluorination on the Electronic Properties of Donors and Acceptors for Organic Solar Cells. ADVANCED THEORY AND SIMULATIONS 2019. [DOI: 10.1002/adts.201900136] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Tonghui Wang
- School of Chemistry and Biochemistry & Center for Organic Photonics and Electronics Georgia Institute of Technology Atlanta GA 30332–0400 USA
| | - Jean‐Luc Brédas
- School of Chemistry and Biochemistry & Center for Organic Photonics and Electronics Georgia Institute of Technology Atlanta GA 30332–0400 USA
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42
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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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43
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Izsák R. Single‐reference coupled cluster methods for computing excitation energies in large molecules: The efficiency and accuracy of approximations. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2019. [DOI: 10.1002/wcms.1445] [Citation(s) in RCA: 26] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Róbert Izsák
- Max‐Planck‐Institut für Kohlenforschung Mülheim an der Ruhr Germany
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44
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Tran LN, Shea JAR, Neuscamman E. Tracking Excited States in Wave Function Optimization Using Density Matrices and Variational Principles. J Chem Theory Comput 2019; 15:4790-4803. [DOI: 10.1021/acs.jctc.9b00351] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Lan Nguyen Tran
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Ho Chi Minh City Institute of Physics, VAST, Ho Chi Minh City 700000, Vietnam
| | - Jacqueline A. R. Shea
- Department of Chemistry, University of California, Berkeley, California 94720, United States
| | - Eric Neuscamman
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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Suellen C, Freitas RG, Loos PF, Jacquemin D. Cross-Comparisons between Experiment, TD-DFT, CC, and ADC for Transition Energies. J Chem Theory Comput 2019; 15:4581-4590. [DOI: 10.1021/acs.jctc.9b00446] [Citation(s) in RCA: 44] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
Affiliation(s)
- Cinthia Suellen
- Departamento de Quimica, Laboratorio Computacional de Materiais, Universidade Federal de Mato Grosso, Cuiaba, Mato Grosso 78060, Brazil
| | - Renato Garcia Freitas
- Departamento de Quimica, Laboratorio Computacional de Materiais, Universidade Federal de Mato Grosso, Cuiaba, Mato Grosso 78060, Brazil
| | - Pierre-François Loos
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse, CNRS, UPS, 31062 Cedex 9 Toulouse, France
| | - Denis Jacquemin
- Laboratoire CEISAM—UMR CNRS 6230, Université de Nantes, 2 Rue de la Houssinière, BP 92208, 44322 Cedex 3 Nantes, France
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Pawłowski F, Olsen J, Jørgensen P. Cluster perturbation theory. II. Excitation energies for a coupled cluster target state. J Chem Phys 2019; 150:134109. [DOI: 10.1063/1.5053167] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Filip Pawłowski
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849-5312, USA
| | - Jeppe Olsen
- Department of Chemistry, qLEAP Center for Theoretical Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Poul Jørgensen
- Department of Chemistry, qLEAP Center for Theoretical Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
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47
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Deustua JE, Yuwono SH, Shen J, Piecuch P. Accurate excited-state energetics by a combination of Monte Carlo sampling and equation-of-motion coupled-cluster computations. J Chem Phys 2019; 150:111101. [DOI: 10.1063/1.5090346] [Citation(s) in RCA: 22] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- J. Emiliano Deustua
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Stephen H. Yuwono
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Jun Shen
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Piotr Piecuch
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
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48
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Liu HN, Obertelli A, Doornenbal P, Bertulani CA, Hagen G, Holt JD, Jansen GR, Morris TD, Schwenk A, Stroberg R, Achouri N, Baba H, Browne F, Calvet D, Château F, Chen S, Chiga N, Corsi A, Cortés ML, Delbart A, Gheller JM, Giganon A, Gillibert A, Hilaire C, Isobe T, Kobayashi T, Kubota Y, Lapoux V, Motobayashi T, Murray I, Otsu H, Panin V, Paul N, Rodriguez W, Sakurai H, Sasano M, Steppenbeck D, Stuhl L, Sun YL, Togano Y, Uesaka T, Wimmer K, Yoneda K, Aktas O, Aumann T, Chung LX, Flavigny F, Franchoo S, Gašparić I, Gerst RB, Gibelin J, Hahn KI, Kim D, Koiwai T, Kondo Y, Koseoglou P, Lee J, Lehr C, Linh BD, Lokotko T, MacCormick M, Moschner K, Nakamura T, Park SY, Rossi D, Sahin E, Sohler D, Söderström PA, Takeuchi S, Törnqvist H, Vaquero V, Wagner V, Wang S, Werner V, Xu X, Yamada H, Yan D, Yang Z, Yasuda M, Zanetti L. How Robust is the N=34 Subshell Closure? First Spectroscopy of ^{52}Ar. PHYSICAL REVIEW LETTERS 2019; 122:072502. [PMID: 30848641 DOI: 10.1103/physrevlett.122.072502] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/08/2018] [Revised: 01/22/2019] [Indexed: 06/09/2023]
Abstract
The first γ-ray spectroscopy of ^{52}Ar, with the neutron number N=34, was measured using the ^{53}K(p,2p) one-proton removal reaction at ∼210 MeV/u at the RIBF facility. The 2_{1}^{+} excitation energy is found at 1656(18) keV, the highest among the Ar isotopes with N>20. This result is the first experimental signature of the persistence of the N=34 subshell closure beyond ^{54}Ca, i.e., below the magic proton number Z=20. Shell-model calculations with phenomenological and chiral-effective-field-theory interactions both reproduce the measured 2_{1}^{+} systematics of neutron-rich Ar isotopes, and support a N=34 subshell closure in ^{52}Ar.
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Affiliation(s)
- H N Liu
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- Department of Physics, Royal Institute of Technology, SE-10691 Stockholm, Sweden
| | - A Obertelli
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - P Doornenbal
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - C A Bertulani
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- Texas A&M University-Commerce, P.O. Box 3011, Commerce, Texas 75429, USA
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - J D Holt
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - G R Jansen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - T D Morris
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - A Schwenk
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - R Stroberg
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - N Achouri
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - H Baba
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - F Browne
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - D Calvet
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - F Château
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - S Chen
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, People's Republic of China
- Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong
| | - N Chiga
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - A Corsi
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - M L Cortés
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - A Delbart
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - J-M Gheller
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - A Giganon
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - A Gillibert
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - C Hilaire
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - T Isobe
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - T Kobayashi
- Department of Physics, Tohoku University, Sendai 980-8578, Japan
| | - Y Kubota
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Center for Nuclear Study, University of Tokyo, RIKEN campus, Wako, Saitama 351-0198, Japan
| | - V Lapoux
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - T Motobayashi
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - I Murray
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - H Otsu
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - V Panin
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - N Paul
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - W Rodriguez
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Universidad Nacional de Colombia, Sede Bogota, Facultad de Ciencias, Departamento de Física, 111321, Bogotá, Colombia
| | - H Sakurai
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan
| | - M Sasano
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - D Steppenbeck
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - L Stuhl
- Center for Nuclear Study, University of Tokyo, RIKEN campus, Wako, Saitama 351-0198, Japan
| | - Y L Sun
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - Y Togano
- Department of Physics, Rikkyo University, 3-34-1 Nishi-Ikebukuro, Toshima, Tokyo 172-8501, Japan
| | - T Uesaka
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - K Wimmer
- Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan
| | - K Yoneda
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - O Aktas
- Department of Physics, Royal Institute of Technology, SE-10691 Stockholm, Sweden
| | - T Aumann
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - L X Chung
- Institute for Nuclear Science & Technology, VINATOM, P.O. Box 5T-160, Nghia Do, Hanoi, Vietnam
| | - F Flavigny
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - S Franchoo
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - I Gašparić
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Ruđer Bošković Institute, Bijenička cesta 54, 10000 Zagreb, Croatia
| | - R-B Gerst
- Institut für Kernphysik, Universität zu Köln, D-50937 Cologne, Germany
| | - J Gibelin
- LPC Caen, ENSICAEN, Université de Caen, CNRS/IN2P3, F-14050 Caen, France
| | - K I Hahn
- Ewha Womans University, Seoul 120-750, Korea
| | - D Kim
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Ewha Womans University, Seoul 120-750, Korea
| | - T Koiwai
- Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan
| | - Y Kondo
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo, 152-8551, Japan
| | - P Koseoglou
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- GSI Helmoltzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
| | - J Lee
- Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong
| | - C Lehr
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - B D Linh
- Institute for Nuclear Science & Technology, VINATOM, P.O. Box 5T-160, Nghia Do, Hanoi, Vietnam
| | - T Lokotko
- Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong
| | - M MacCormick
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - K Moschner
- Institut für Kernphysik, Universität zu Köln, D-50937 Cologne, Germany
| | - T Nakamura
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo, 152-8551, Japan
| | - S Y Park
- Ewha Womans University, Seoul 120-750, Korea
| | - D Rossi
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - E Sahin
- Department of Physics, University of Oslo, N-0316 Oslo, Norway
| | - D Sohler
- MTA Atomki, P.O. Box 51, Debrecen H-4001, Hungary
| | - P-A Söderström
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - S Takeuchi
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo, 152-8551, Japan
| | - H Törnqvist
- GSI Helmoltzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
| | - V Vaquero
- Instituto de Estructura de la Materia, CSIC, E-28006 Madrid, Spain
| | - V Wagner
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - S Wang
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
| | - V Werner
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - X Xu
- Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong
| | - H Yamada
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo, 152-8551, Japan
| | - D Yan
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
| | - Z Yang
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - M Yasuda
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo, 152-8551, Japan
| | - L Zanetti
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
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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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50
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Park YC, Perera A, Bartlett RJ. Low scaling EOM-CCSD and EOM-MBPT(2) method with natural transition orbitals. J Chem Phys 2018; 149:184103. [DOI: 10.1063/1.5045340] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Young Choon Park
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
| | - Ajith Perera
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
| | - Rodney J. Bartlett
- Quantum Theory Project, University of Florida, Gainesville, Florida 32611, USA
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