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Wang Q, Zou J, Xu E, Pulay P, Li S. Automatic Construction of the Initial Orbitals for Efficient Generalized Valence Bond Calculations of Large Systems. J Chem Theory Comput 2018; 15:141-153. [PMID: 30481019 DOI: 10.1021/acs.jctc.8b00854] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023]
Abstract
We propose an efficient general strategy for generating initial orbitals for generalized valence bond (GVB) calculations which makes routine black-box GVB calculations on large systems feasible. Two schemes are proposed, depending on whether the restricted Hartree-Fock (RHF) wave function is stable (scheme I) or not (scheme II). In both schemes, the first step is the construction of active occupied orbitals and active virtual orbitals. In scheme I, active occupied orbitals are composed of the valence orbitals (the inner core orbitals are excluded), and the active virtual orbitals are obtained from the original virtual space by requiring its maximum overlap with the virtual orbital space of the same system at a minimal basis set. In scheme II, active occupied orbitals and active virtual orbitals are obtained from the set of unrestricted natural orbitals (UNOs), which are transformed from two sets of unrestricted HF spatial orbitals. In the next step, the active occupied orbitals and active virtual ones are separately transformed to localized orbitals. Localized occupied and virtual orbital pairs are formed using the Kuhn-Munkres (KM) algorithm and are used as the initial guess for the GVB orbitals. The optimized GVB wave function is obtained using the second-order self-consistent-field algorithm in the GAMESS program. With this procedure, GVB energies have been obtained for the lowest singlet and triplet states of polyacenes (up to decacene with 96 pairs) and the singlet ground state of two di-copper-oxygen-ammonia complexes. We have also calculated the singlet-triplet gaps for some polyacenes and the relative energy between two di-copper-oxygen-ammonia complexes with the block-correlated second-order perturbation theory based on the GVB reference.
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Affiliation(s)
- Qingchun Wang
- 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 , P. R. China
| | - Jingxiang Zou
- 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 , P. R. China
| | - Enhua Xu
- Graduate School of Science, Technology, and Innovation , Kobe University , Nada-ku, Kobe 657-8501 , Japan
| | - Peter Pulay
- Department of Chemistry and Biochemistry , University of Arkansas , Fayetteville , Arkansas 72701 , United States
| | - Shuhua 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 , P. R. China
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Affiliation(s)
- Toru Saito
- Department of Biomedical Information Sciences, Graduate School of Information Sciences, Hiroshima City University, Asa-Minami-Ku, Hiroshima, Japan
| | - Yu Takano
- Department of Biomedical Information Sciences, Graduate School of Information Sciences, Hiroshima City University, Asa-Minami-Ku, Hiroshima, Japan
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Kawakami T, Saito T, Sharma S, Yamanaka S, Yamada S, Nakajima T, Okumura M, Yamaguchi K. Full-valence density matrix renormalisation group calculations on meta-benzyne based on unrestricted natural orbitals. Revisit of seamless continuation from broken-symmetry to symmetry-adapted models for diradicals. Mol Phys 2017. [DOI: 10.1080/00268976.2017.1337251] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Takashi Kawakami
- Department of Chemistry, Graduate School of Science, Osaka University, Osaka, Japan
- Riken Advanced Institute for Computational Science, Hyogo, Japan
| | - Toru Saito
- Department of Chemistry, Graduate School of Science, Osaka University, Osaka, Japan
| | - Sandeep Sharma
- Department of Chemistry and Biochemistry, University of Colorado, Boulder, CO, USA
| | - Shusuke Yamanaka
- Department of Chemistry, Graduate School of Science, Osaka University, Osaka, Japan
| | - Satoru Yamada
- Riken Advanced Institute for Computational Science, Hyogo, Japan
| | | | - Mitsutaka Okumura
- Department of Chemistry, Graduate School of Science, Osaka University, Osaka, Japan
| | - Kizashi Yamaguchi
- Riken Advanced Institute for Computational Science, Hyogo, Japan
- NanoScience Design Center, Osaka University, Osaka, Japan
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Yamaguchi K, Yamanaka S, Shoji M, Isobe H, Kitagawa Y, Kawakami T, Yamada S, Okumura M. Theory of chemical bonds in metalloenzymes XIX: labile manganese oxygen bonds of the CaMn4O5cluster in oxygen evolving complex of photosystem II. Mol Phys 2013. [DOI: 10.1080/00268976.2013.842009] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Saito T, Thiel W. Analytical Gradients for Density Functional Calculations with Approximate Spin Projection. J Phys Chem A 2012; 116:10864-9. [DOI: 10.1021/jp308916s] [Citation(s) in RCA: 41] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Affiliation(s)
- Toru Saito
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany
| | - Walter Thiel
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany
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Saito T, Ito A, Watanabe T, Kawakami T, Okumura M, Yamaguchi K. Performance of the coupled cluster and DFT methods for through-space magnetic interactions of nitroxide dimer. Chem Phys Lett 2012. [DOI: 10.1016/j.cplett.2012.05.046] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Saito T, Nishihara S, Yamanaka S, Kitagawa Y, Kawakami T, Yamada S, Isobe H, Okumura M, Yamaguchi K. Symmetry and broken symmetry in molecular orbital description of unstable molecules IV: comparison between single- and multi-reference computational results for antiaromtic molecules. Theor Chem Acc 2011. [DOI: 10.1007/s00214-011-0941-9] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Saito T, Yasuda N, Kataoka Y, Nakanishi Y, Kitagawa Y, Kawakami T, Yamanaka S, Okumura M, Yamaguchi K. Potential Energy Curve for Ring-Opening Reactions: Comparison Between Broken-Symmetry and Multireference Coupled Cluster Methods. J Phys Chem A 2011; 115:5625-31. [DOI: 10.1021/jp201463h] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Toru Saito
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Natsumi Yasuda
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Yusuke Kataoka
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Yasuyuki Nakanishi
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Yasutaka Kitagawa
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Takashi Kawakami
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Shusuke Yamanaka
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Mitsutaka Okumura
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
| | - Kizashi Yamaguchi
- Department of Chemistry, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
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Singlet–triplet energy gap for trimethylenemethane, oxyallyl diradical, and related species: single- and multireference computational results. Theor Chem Acc 2011. [DOI: 10.1007/s00214-011-0914-z] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Saito T, Yasuda N, Nishihara S, Yamanaka S, Kitagawa Y, Kawakami T, Okumura M, Yamaguchi K. Broken-symmetry natural orbital (BSNO)–Mk-MRCC study on the exchange coupling in the binuclear copper(II) compounds. Chem Phys Lett 2011. [DOI: 10.1016/j.cplett.2011.02.018] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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