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Nakai H, Kobayashi M, Yoshikawa T, Seino J, Ikabata Y, Nishimura Y. Divide-and-Conquer Linear-Scaling Quantum Chemical Computations. J Phys Chem A 2023; 127:589-618. [PMID: 36630608 DOI: 10.1021/acs.jpca.2c06965] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
Abstract
Fragmentation and embedding schemes are of great importance when applying quantum-chemical calculations to more complex and attractive targets. The divide-and-conquer (DC)-based quantum-chemical model is a fragmentation scheme that can be connected to embedding schemes. This feature article explains several DC-based schemes developed by the authors over the last two decades, which was inspired by the pioneering study of DC self-consistent field (SCF) method by Yang and Lee (J. Chem. Phys. 1995, 103, 5674-5678). First, the theoretical aspects of the DC-based SCF, electron correlation, excited-state, and nuclear orbital methods are described, followed by the two-component relativistic theory, quantum-mechanical molecular dynamics simulation, and the introduction of three programs, including DC-based schemes. Illustrative applications confirmed the accuracy and feasibility of the DC-based schemes.
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Affiliation(s)
- Hiromi Nakai
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo169-8555, Japan.,Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo169-8555, Japan
| | - Masato Kobayashi
- Department of Chemistry, Faculty of Science, Hokkaido University, Kita 10 Nishi 8, Kita-ku, Sapporo, Hokkaido060-0810, Japan.,Institute for Chemical Reaction Design and Discovery (WPI-ICReDD), Hokkaido University, Kita 21 Nishi 10, Kita-ku, Sapporo, Hokkaido001-0021, Japan
| | - Takeshi Yoshikawa
- Faculty of Pharmaceutical Sciences, Toho University, 2-2-1 Miyama, Funabashi, Chiba274-8510, Japan
| | - Junji Seino
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo169-8555, Japan.,Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo169-8555, Japan
| | - Yasuhiro Ikabata
- Information and Media Center, Toyohashi University of Technology, 1-1 Hibarigaoka, Tempaku-cho, Toyohashi, Aichi441-8580, Japan.,Department of Computer Science and Engineering, Toyohashi University of Technology, 1-1 Hibarigaoka, Tempaku-cho, Toyohashi, Aichi441-8580, Japan
| | - Yoshifumi Nishimura
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo169-8555, Japan
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Nakai H. Development of Linear-Scaling Relativistic Quantum Chemistry Covering the Periodic Table. BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN 2021. [DOI: 10.1246/bcsj.20210091] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Hiromi Nakai
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
- Waseda Research Institute for Science and Engineering (WISE), Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
- Elements Strategy Initiative for Catalysts and Batteries (ESICB), Kyoto University, Katsura, Kyoto 615-8520, Japan
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Maier TM, Ikabata Y, Nakai H. Efficient Semi-Numerical Implementation of Relativistic Exact Exchange within the Infinite-Order Two-Component Method Using a Modified Chain-of-Spheres Method. J Chem Theory Comput 2019; 15:4745-4763. [DOI: 10.1021/acs.jctc.9b00228] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/02/2023]
Affiliation(s)
- Toni M. Maier
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Yasuhiro Ikabata
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Hiromi Nakai
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
- Elements Strategy Initiative for Catalysts and Batteries (ESICB), Kyoto University, Katsura, Kyoto 615-8520, Japan
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Hayami M, Seino J, Nakajima Y, Nakano M, Ikabata Y, Yoshikawa T, Oyama T, Hiraga K, Hirata S, Nakai H. RAQET: Large-scale two-component relativistic quantum chemistry program package. J Comput Chem 2018; 39:2333-2344. [PMID: 30238477 PMCID: PMC6667904 DOI: 10.1002/jcc.25364] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2018] [Revised: 05/01/2018] [Accepted: 05/03/2018] [Indexed: 01/21/2023]
Abstract
The Relativistic And Quantum Electronic Theory (RAQET) program is a new software package, which is designed for large-scale two-component relativistic quantum chemical (QC) calculations. The package includes several efficient schemes and algorithms for calculations involving large molecules which contain heavy elements in accurate relativistic formalisms. These calculations can be carried out in terms of the two-component relativistic Hamiltonian, wavefunction theory, density functional theory, core potential scheme, and evaluation of electron repulsion integrals. Furthermore, several techniques, which have frequently been used in non-relativistic QC calculations, have been customized for relativistic calculations. This article introduces the brief theories and capabilities of RAQET with several calculation examples. © 2018 Wiley Periodicals, Inc.
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Affiliation(s)
- Masao Hayami
- Department of Chemistry and Biochemistry, School of Advanced Science and EngineeringWaseda University3‐4‐1 Okubo, Shinjuku‐kuTokyo169‐8555Japan
| | - Junji Seino
- Waseda Research Institute for Science and EngineeringWaseda University3‐4‐1 Okubo, Shinjuku‐kuTokyo169‐8555Japan
- PRESTO, Japan Science and Technology Agency4‐18‐81 Honcho, KawaguchiSaitama332‐0012Japan
| | - Yuya Nakajima
- Department of Chemistry and Biochemistry, School of Advanced Science and EngineeringWaseda University3‐4‐1 Okubo, Shinjuku‐kuTokyo169‐8555Japan
| | - Masahiko Nakano
- Department of Chemistry and Biochemistry, School of Advanced Science and EngineeringWaseda University3‐4‐1 Okubo, Shinjuku‐kuTokyo169‐8555Japan
| | - Yasuhiro Ikabata
- Waseda Research Institute for Science and EngineeringWaseda University3‐4‐1 Okubo, Shinjuku‐kuTokyo169‐8555Japan
| | - Takeshi Yoshikawa
- Department of Chemistry and Biochemistry, School of Advanced Science and EngineeringWaseda University3‐4‐1 Okubo, Shinjuku‐kuTokyo169‐8555Japan
| | - Takuro Oyama
- Department of Chemistry and Biochemistry, School of Advanced Science and EngineeringWaseda University3‐4‐1 Okubo, Shinjuku‐kuTokyo169‐8555Japan
| | - Kenta Hiraga
- Department of Chemistry and Biochemistry, School of Advanced Science and EngineeringWaseda University3‐4‐1 Okubo, Shinjuku‐kuTokyo169‐8555Japan
| | - So Hirata
- CREST, Japan Science and Technology Agency7 Gobancho, Chiyoda‐kuTokyo102‐0076Japan
- Department of ChemistryUniversity of Illinois at Urbana‐Champaign600 South Mathews Avenue, UrbanaIllinois61801
| | - Hiromi Nakai
- Department of Chemistry and Biochemistry, School of Advanced Science and EngineeringWaseda University3‐4‐1 Okubo, Shinjuku‐kuTokyo169‐8555Japan
- Waseda Research Institute for Science and EngineeringWaseda University3‐4‐1 Okubo, Shinjuku‐kuTokyo169‐8555Japan
- CREST, Japan Science and Technology Agency7 Gobancho, Chiyoda‐kuTokyo102‐0076Japan
- ESICB, Kyoto University, Kyotodaigaku‐KatsuraNishikyo‐kuKyoto615‐8520Japan
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Samu G, Kállay M. Efficient evaluation of the geometrical first derivatives of three-center Coulomb integrals. J Chem Phys 2018; 149:124101. [DOI: 10.1063/1.5049529] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Gyula Samu
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
| | - Mihály Kállay
- MTA-BME Lendület Quantum Chemistry Research Group, 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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