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Nakamura T, Tsuruta Y, Egi A, Tanaka H, Nishibayashi Y, Yoshizawa K. Theoretical Study of Imide Formation in Nitrogen Fixation Catalyzed by Molybdenum Complex Bearing PCP-Type Pincer Ligand with Metallocenes. Inorg Chem 2025. [PMID: 40253718 DOI: 10.1021/acs.inorgchem.5c00695] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/22/2025]
Abstract
Homogeneous catalysts using a mononuclear molybdenum nitride (Mo≡N) complex bearing PCP-type pincer ligands allow nitrogen fixation under very mild conditions. The catalytic cycle involves three hydrogenation processes yielding an Mo-ammine complex [MoI(NH3)(PCP)] from the Mo-nitride complex [MoI(N)(PCP)]. We primarily focused on the first hydrogenation step, forming an Mo-imide complex [MoI(NH)(PCP)] since previous experimental and theoretical studies suggest that imide formation is the rate-limiting step in the catalytic cycle. The choice of protonating agent and reductant strongly influences the catalytic reactivity in imide formation. In this computational quantum chemical study, 2,4,6-collidinium (ColH+) was employed as the protonation agent, while metallocenes Cp2MII and decamethylmetallocenes Cp*2MII (M = V, Cr, Mn, Fe, Co, and Ni) were employed as reductants. The reaction of ColH+ with the metallocenes yields protonated metallocenes, where a cyclopentadienyl ring of the metallocenes is protonated. Protonated Cp*2CrII and Cp*2CoII are potential proton-coupled electron transfer (PCET) mediators to facilitate the imide formation of [MoI(N)(PCP)] with low activation free energies. The concerted reaction mechanism was compared with the stepwise reaction, where ColH+ directly protonates [MoI(N)(PCP)], followed by reduction with the decamethylmetallocenes. Furthermore, we analyzed how proton transfer and electron transfer are concerted in the reaction of the PCET mediators with [MoI(N)(PCP)] by tracing electronic states along the reaction coordinates.
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Affiliation(s)
- Taiji Nakamura
- Fukui Institute for Fundamental Chemistry, Kyoto University, Takano-Nishihiraki-cho 34-4, Sakyo-ku, Kyoto 606-8103, Japan
- Institute for Materials Chemistry and Engineering and IRCCS, Kyushu University, Motooka, Nishi-ku, Fukuoka 819-0395, Japan
| | - Yusuke Tsuruta
- Institute for Materials Chemistry and Engineering and IRCCS, Kyushu University, Motooka, Nishi-ku, Fukuoka 819-0395, Japan
| | - Akihito Egi
- Institute for Materials Chemistry and Engineering and IRCCS, Kyushu University, Motooka, Nishi-ku, Fukuoka 819-0395, Japan
| | - Hiromasa Tanaka
- School of Liberal Arts and Sciences, Daido University, Takiharu-cho, Minami-ku, Nagoya 457-8530, Japan
| | - Yoshiaki Nishibayashi
- Department of Applied Chemistry, School of Engineering, The University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
| | - Kazunari Yoshizawa
- Fukui Institute for Fundamental Chemistry, Kyoto University, Takano-Nishihiraki-cho 34-4, Sakyo-ku, Kyoto 606-8103, Japan
- Institute for Materials Chemistry and Engineering and IRCCS, Kyushu University, Motooka, Nishi-ku, Fukuoka 819-0395, Japan
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2
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Takashima C, Nakai H. Parallelization of Two-Electron Integrals in Spin-Free Infinite-Order Two-Component Hamiltonian. J Chem Theory Comput 2025; 21:2942-2951. [PMID: 40050257 DOI: 10.1021/acs.jctc.4c01681] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/26/2025]
Abstract
A parallelization scheme for computing two-electron integrals in a two-component relativistic theory was developed based on the spin-free infinite-order two-component Hamiltonian. The proposed algorithm utilizes a distributed data interface and distributed memory in the GAMESS program. Its efficiency was demonstrated by numerical assessments. Furthermore, the proposed parallelization algorithm was implemented by combining it with a local unitary transformation, which is a linear-scaling technique for a two-component relativistic Hamiltonian. The multiprocess calculation of the total energy of the metal complex [Pt13(C7H7)6]2+ indicates the usefulness of the parallel program developed in this study.
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Affiliation(s)
- Chinami Takashima
- Department of Chemistry and Biochemistry, School of Advanced 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
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3
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Holzer C, Franzke YJ. Beyond Electrons: Correlation and Self-Energy in Multicomponent Density Functional Theory. Chemphyschem 2024; 25:e202400120. [PMID: 38456204 DOI: 10.1002/cphc.202400120] [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: 02/02/2024] [Revised: 03/07/2024] [Accepted: 03/08/2024] [Indexed: 03/09/2024]
Abstract
Post-Kohn-Sham methods are used to evaluate the ground-state correlation energy and the orbital self-energy of systems consisting of multiple flavors of different fermions. Starting from multicomponent density functional theory, suitable ways to arrive at the corresponding multicomponent random-phase approximation and the multicomponent Green's functionG W ${GW}$ approximation, including relativistic effects, are outlined. Given the importance of both of this methods in the development of modern Kohn-Sham density functional approximations, this work will provide a foundation to design advanced multicomponent density functional approximations. Additionally, theG W ${GW}$ quasiparticle energies are needed to study light-matter interactions with the Bethe-Salpeter equation.
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Affiliation(s)
- Christof Holzer
- Karlsruhe Institute of Technology (KIT), Institute of Theoretical Solid State Physics, Kaiserstraße 12, 76131, Karlsruhe, Germany
| | - Yannick J Franzke
- Friedrich Schiller University Jena, Otto Schott Institute of Materials Research, Löbdergraben 32, 07743, Jena, Germany
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4
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Liu W. Unified construction of relativistic Hamiltonians. J Chem Phys 2024; 160:084111. [PMID: 38415836 DOI: 10.1063/5.0188794] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/23/2023] [Accepted: 02/09/2024] [Indexed: 02/29/2024] Open
Abstract
It is shown that the four-component (4C), quasi-four-component (Q4C), and exact two-component (X2C) relativistic Hartree-Fock equations can be implemented in a unified manner by making use of the atomic nature of the small components of molecular 4-spinors. A model density matrix approximation can first be invoked for the small-component charge/current density functions, which gives rise to a static, pre-molecular mean field to be combined with the one-electron term. As a result, only the nonrelativistic-like two-electron term of the 4C/Q4C/X2C Fock matrix needs to be updated during the iterations. A "one-center small-component" approximation can then be invoked in the evaluation of relativistic integrals, that is, all atom-centered small-component basis functions are regarded as extremely localized near the position of the atom to which they belong such that they have vanishing overlaps with all small- or large-component functions centered at other nuclei. Under these approximations, the 4C, Q4C, and X2C mean-field and many-electron Hamiltonians share precisely the same structure and accuracy. Beyond these is the effective quantum electrodynamics Hamiltonian that can be constructed in the same way. Such approximations lead to errors that are orders of magnitude smaller than other sources of errors (e.g., truncation errors in the one- and many-particle bases as well as uncertainties of experimental measurements) and are, hence, safe to use for whatever purposes. The quaternion forms of the 4C, Q4C, and X2C equations are also presented in the most general way, based on which the corresponding Kramers-restricted open-shell variants are formulated for "high-spin" open-shell systems.
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Affiliation(s)
- Wenjian Liu
- Qingdao Institute for Theoretical and Computational Sciences, School of Chemistry and Chemical Engineering, Shandong University, Qingdao, Shandong 266237, People's Republic of China
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5
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Takashima C, Nakai H. Range Separation Method for Density Functional Theory Based on Two-Electron Infinite-Order Two-Component Hamiltonian. J Chem Theory Comput 2024; 20:738-751. [PMID: 38193820 DOI: 10.1021/acs.jctc.3c01102] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2024]
Abstract
The range separation method for density functional theory (DFT) was extended to a two-component relativistic theory based on the unitary transformation of one- and two-electron operators and a density operator. In the framework of the spin-free infinite-order two-component Hamiltonian, we implemented several types of two-electron integrals of range-separated two-electron interactions arising from the unitary transformation. Numerical assessments were performed using long-range-corrected (LC)-DFT, which utilizes the range separation of an exchange functional. The present method successfully reproduced the reference values obtained by the four-component LC-DFT calculations when the whole unitary transformations of one-electron, full-range, and range-separated two-electron operators and a density operator were considered. An efficient scheme for the unitary transformation, which is termed the local unitary transformation (LUT), was also applied to the range-separated two-electron term and other operators. The LUT method reduced the computational costs of the LC-DFT calculations significantly without any loss of accuracy.
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Affiliation(s)
- Chinami Takashima
- Department of Chemistry and Biochemistry, School of Advanced 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
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6
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Haasler M, Maier TM, Kaupp M. Toward a correct treatment of core properties with local hybrid functionals. J Comput Chem 2023; 44:2461-2477. [PMID: 37635647 DOI: 10.1002/jcc.27211] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/04/2023] [Revised: 08/01/2023] [Accepted: 08/03/2023] [Indexed: 08/29/2023]
Abstract
In local hybrid functionals (LHs), a local mixing function (LMF) determines the position-dependent exact-exchange admixture. We report new LHs that focus on an improvement of the LMF in the core region while retaining or partly improving upon the high accuracy in the valence region exhibited by the LH20t functional. The suggested new pt-LMFs are based on a Padé form and modify the previously used ratio between von Weizsäcker and Kohn-Sham local kinetic energies by different powers of the density to enable flexibly improved approximations to the correct high-density and iso-orbital limits relevant for the innermost core region. Using TDDFT calculations for a set of K-shell core excitations of second- and third-period systems including accurate state-of-the-art relativistic orbital corrections, the core part of the LMF is optimized, while the valence part is optimized as previously reported for test sets of atomization energies and reaction barriers (Haasler et al., J Chem Theory Comput 2020, 16, 5645). The LHs are completed by a calibration function that minimizes spurious nondynamical correlation effects caused by the gauge ambiguities of exchange-energy densities, as well as by B95c meta-GGA correlation. The resulting LH23pt functional relates to the previous LH20t functional but specifically improves upon the core region.
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Affiliation(s)
- Matthias Haasler
- Technische Universität Berlin, Institute of Chemistry Theoretical Chemistry/Quantum Chemistry, Berlin, Germany
| | - Toni M Maier
- Technische Universität Braunschweig, Institute of Physical and Theoretical Chemistry, Braunschweig, Germany
| | - Martin Kaupp
- Technische Universität Berlin, Institute of Chemistry Theoretical Chemistry/Quantum Chemistry, Berlin, Germany
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7
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Desmarais JK, Boccuni A, Flament JP, Kirtman B, Erba A. Perturbation Theory Treatment of Spin-Orbit Coupling. III: Coupled Perturbed Method for Solids. J Chem Theory Comput 2023; 19:1853-1863. [PMID: 36917759 DOI: 10.1021/acs.jctc.3c00088] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/16/2023]
Abstract
A previously proposed noncanonical coupled-perturbed Kohn-Sham density functional theory (KS-DFT)/Hartree-Fock (HF) treatment for spin-orbit coupling is here generalized to infinite periodic systems. The scalar-relativistic periodic KS-DFT/HF solution, obtained with a relativistic effective core potential, is taken as the zeroth-order approximation. Explicit expressions are given for the total energy through third-order, which satisfy the 2N + 1 rule (i.e., requiring only the first-order perturbed wave function for determining the energy through third-order). Expressions for additional second-order corrections to the perturbed wave function (as well as related one-electron properties) are worked out at the uncoupled-perturbed level of theory. The approach is implemented in the Crystal program and validated with calculations of the total energy, electronic band structure, and density variables of spin-current DFT on the tungsten dichalcogenide hexagonal bilayer series (i.e., WSe2, WTe2, WPo2, WLv2), including 6p and 7p elements as a stress test. The computed properties through second- or third-order match well with those from reference two-component self-consistent field (2c-SCF) calculations. For total energies, E(3) was found to consistently improve the agreement against the 2c-SCF reference values. For electronic band structures, visible differences w.r.t. 2c-SCF remained through second-order in only the single-most difficult case of WLv2. As for density variables of spin-current DFT, the perturbed electron density, being vanishing in first-order, is the most challenging for the perturbation theory approach. The visible differences in the electron densities are, however, largest close to the core region of atoms and smaller in the valence region. Perturbed spin-current densities, on the other hand, are well reproduced in all tested cases.
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Affiliation(s)
- Jacques K Desmarais
- Dipartimento di Chimica, Università di Torino, via Giuria 5, 10125 Torino, Italy
| | - Alberto Boccuni
- Dipartimento di Chimica, Università di Torino, via Giuria 5, 10125 Torino, Italy
| | - Jean-Pierre Flament
- Université de Lille, CNRS, UMR 8523 ─ PhLAM ─ Physique des Lasers, Atomes et Molécules, 59000 Lille, France
| | - Bernard Kirtman
- Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106, United States
| | - Alessandro Erba
- Dipartimento di Chimica, Università di Torino, via Giuria 5, 10125 Torino, Italy
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8
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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: 12] [Impact Index Per Article: 6.0] [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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9
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Zhang Y, Nakamura T, Wu L, Wenjin Cao W, Schoendorff G, Gordon MS, Yang DS. Electronic states and transitions of PrO and PrO+ probed by threshold ionization spectroscopy and spin-orbit multiconfiguration perturbation theory. J Chem Phys 2022; 157:114304. [DOI: 10.1063/5.0113741] [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 precise ionization energy of praseodymium oxide (PrO) seeded in supersonic molecular beams is measured with mass-analyzed threshold ionization (MATI) spectroscopy. A total of 33 spin-orbit (SO) states of PrO and 23 SO states of PrO+ are predicted by second-order multiconfigurational quasi-degenerate perturbation (MCQDPT2) theory. Electronic transitions from four low-energy SO levels of the neutral molecule to the ground state of the singly charged cation are identified by combining the MATI spectroscopic measurements with the MCQDPT2 calculations. The precise ionization energy is used to reassess the ionization energies and the reaction enthalpies of the Pr + O → PrO+ + e- chemi-ionization reaction reported in the literature. An empirical formula that uses atomic electronic parameters is proposed to predict the ionization energies of lanthanide monooxides, and the empirical calculations match well with available precise experimental measurements.
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Affiliation(s)
- Yuchen Zhang
- Chemistry, University of Kentucky, United States of America
| | - Taiji Nakamura
- Gunma University Faculty of Engineering Graduate School of Engineering Department of Chemistry and Bioengineering, Japan
| | - Lu Wu
- University of Kentucky, United States of America
| | | | - George Schoendorff
- Propellants Branch, Rocket Propulsion Division, Air Force Research Laboratory Aerospace Systems Directorate Edwards AFB, United States of America
| | - Mark S. Gordon
- Department of Chemistry, Iowa State University, United States of America
| | - Dong-Sheng Yang
- Department of Chemistry, University of Kentucky, United States of America
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10
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Yoshikawa T, Takanashi T, Nakai H. Quantum Algorithm of the Divide-and-Conquer Unitary Coupled Cluster Method with a Variational Quantum Eigensolver. J Chem Theory Comput 2022; 18:5360-5373. [PMID: 35926142 DOI: 10.1021/acs.jctc.2c00602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The variational quantum eigensolver (VQE) with shallow or constant-depth quantum circuits is one of the most pursued approaches in the noisy intermediate-scale quantum (NISQ) devices with incoherent errors. In this study, the divide-and-conquer (DC) linear scaling technique, which divides the entire system into several fragments, is applied to the VQE algorithm based on the unitary coupled cluster (UCC) method, denoted as DC-qUCC/VQE, to reduce the number of required qubits. The unitarity of the UCC ansatz that enables the evaluation of the total energy as well as various molecular properties as expectation values can be easily implemented on quantum devices because the quantum gates are unitary operators themselves. Based on this feature, the present DC-qUCC/VQE algorithm is designed to conserve the total number of electrons in the entire system using the density matrix evaluated on a quantum computer. Numerical assessments clarified that the energy errors of the DC-qUCC/VQE calculations decrease by using the constraint of the total number of electrons. Furthermore, the DC-qUCC/VQE algorithm could reduce the number of quantum gates and shows the possibility of decreasing incoherent errors.
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Affiliation(s)
- Takeshi Yoshikawa
- Faculty of Pharmaceutical Sciences, Toho University, 2-2-1 Miyama, Funabashi, Chiba 274-8510, Japan.,Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Tomoya Takanashi
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Hiromi Nakai
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan.,Department of Chemistry and Biochemistry, School of Advanced 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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11
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Dergachev VD, Nakritskaia DD, Varganov SA. Strong Relativistic Effects in Lanthanide-Based Single-Molecule Magnets. J Phys Chem Lett 2022; 13:6749-6754. [PMID: 35852301 DOI: 10.1021/acs.jpclett.2c01627] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
Lanthanide-based single-molecule magnets (SMMs) are promising building blocks for quantum memory and spintronic devices. Designing lanthanide-based SMMs with long spin relaxation time requires a detailed understanding of their electronic structure, including the crucial role of the spin-orbit coupling (SOC). While traditional calculations of SOC using the perturbation theory applied to a solution of the nonrelativistic Schrödinger equation are valid for light atoms, this approach is questionable for systems containing heavy elements such as lanthanides. We investigate the accuracy of the perturbation estimates of SOC by variationally solving the Dirac equation for the [DyO]+ molecule, a prototype of a lanthanide-based SMM. We show that the energy splittings between the M J states involved in spin relaxation depend on the interplay between strong SOC and dynamic electron correlation. We demonstrate that this interplay affects the resonances between the spin and vibrational transitions and, therefore, the spin relaxation time.
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Affiliation(s)
- Vsevolod D Dergachev
- Department of Chemistry, University of Nevada, Reno, 1664 N. Virginia Street, Reno, Nevada 89557-0216, United States
| | - Daria D Nakritskaia
- Department of Chemistry, University of Nevada, Reno, 1664 N. Virginia Street, Reno, Nevada 89557-0216, United States
| | - Sergey A Varganov
- Department of Chemistry, University of Nevada, Reno, 1664 N. Virginia Street, Reno, Nevada 89557-0216, United States
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12
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Schoendorff G, Boatz JA. Relativistic Segmented Correlation Consistent Basis Sets for the 5p and 6p Elements. J Phys Chem A 2022; 126:4848-4861. [PMID: 35852220 DOI: 10.1021/acs.jpca.2c03342] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The relativistic all-electron triple-ζ (TZ) and quadruple-ζ (QZ) correlation-consistent basis sets for the 5p and 6p elements were reoptimized to have a segmented contraction scheme. Properties computed with the segmented basis sets using the coupled-cluster level of theory with single, double, and perturbative triple excitations closely match the results obtained using the generally contracted analogues. Deviations in the ionization potentials and electron affinities computed using the segmented basis sets compared with those computed with the generally contracted basis sets are within 1 kcal mol-1. The relative deviation in the computed bond lengths for a selection of diatomic molecules is within 0.02 Å, and the computed harmonic vibrational frequencies differ by less than 3%. The mean absolute deviations (MADs) in the computed bond dissociation energies are 1.01 and 1.31 kcal mol-1 for the TZ and QZ basis sets, respectively, when only the valence electrons are correlated and 0.14 and 0.10 kcal mol-1 for the TZ and QZ basis sets, respectively, when the valence and outer-core electrons are correlated. The segmented basis sets also retain the systematically convergent behavior intrinsic to the correlation-consistent family of basis sets while affording speedups for the average time required to form the Fock matrix from 32.8 to 82.9× compared to the time required with the generally contracted versions when used with integral algorithms employed by many computational chemistry software packages.
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Affiliation(s)
- George Schoendorff
- Propellants Branch, Rocket Propulsion Division, Aerospace Systems Directorate, Air Force Research Laboratory, AFRL/RQRP, Edwards Air Force Base, Edwards, California 93524, United States
| | - Jerry A Boatz
- Propellants Branch, Rocket Propulsion Division, Aerospace Systems Directorate, Air Force Research Laboratory, AFRL/RQRP, Edwards Air Force Base, Edwards, California 93524, United States
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13
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Franzke YJ, Yu JM. Quasi-Relativistic Calculation of EPR g Tensors with Derivatives of the Decoupling Transformation, Gauge-Including Atomic Orbitals, and Magnetic Balance. J Chem Theory Comput 2022; 18:2246-2266. [PMID: 35354319 DOI: 10.1021/acs.jctc.1c01175] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
Abstract
We present an exact two-component (X2C) ansatz for the EPR g tensor using gauge-including atomic orbitals (GIAOs) and a magnetically balanced basis set expansion. In contrast to previous X2C and four-component relativistic ansätze for the g tensor, this implementation results in a gauge-origin-invariant formalism. Furthermore, the derivatives of the relativistic decoupling matrix are incorporated to form the complete analytical derivative of the X2C Hamiltonian. To reduce the associated computational costs, we apply the diagonal local approximation to the unitary decoupling transformation (DLU). The quasi-relativistic X2C and DLU-X2C Hamiltonians accurately reproduce the results of the parent four-component relativistic theory when accounting for two-electron picture-change effects with the modified screened nuclear spin-orbit approximation in the respective one-electron integrals and integral derivatives. According to our benchmark studies, the uncontracted Dyall and segmented-contracted Karlsruhe x2c-type basis sets perform well when compared to large even-tempered basis sets. Moreover, (range-separated) hybrid density functional approximations such as LC-ωPBE and ωB97X-D are needed to match the experimental findings. The impact of the GIAOs depends on the distribution of the spin density, and their use may change the Δg shifts by 10-50% as shown for [(C5Me5)2Y(μ-S)2Mo(μ-S)2Y(C5Me5)2]-. Routine calculations of large molecules are possible with widely available and comparably low-cost hardware as demonstrated for [Pt(C6Cl5)4]- with 3003 basis functions and three spin-(1/2) La(II) and Lu(II) compounds, for which we observe good agreement with the experimental findings.
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Affiliation(s)
- Yannick J Franzke
- Fachbereich Chemie, Philipps-Universität Marburg, 35032 Marburg, Germany
| | - Jason M Yu
- Department of Chemistry, University of California─Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025, United States
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14
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Wu L, Schoendorff G, Zhang Y, Roudjane M, Gordon MS, Yang DS. Excited states of lutetium oxide and its singly charged cation. J Chem Phys 2022; 156:084303. [DOI: 10.1063/5.0084483] [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
Vibronic spectra of lutetium oxide (LuO) seeded in supersonic molecule beams are investigated with mass-analyzed threshold ionization (MATI) spectroscopy and second-order multiconfigurational quasi-degenerate perturbation (MCQDPT2) theory. Six states of LuO and four states of LuO+ are located by the MCQDPT2 calculations, and an a3Π(LuO+) ← C2Σ+ (LuΟ) transition is observed by the MATI measurement. The vibronic spectra show abnormal vibrational intervals for both the neural and cation excited states, and the abnormality is attributed to vibrational perturbations induced by interactions with neighboring states.
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Affiliation(s)
- Lu Wu
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - George Schoendorff
- Department of Chemistry, Iowa State University, Ames, Iowa 50011-3111, USA
- Propellants Branch, Rocket Propulsion Division, Aerospace Systems Directorate, Air Force Research Laboratory, AFRL/RQRP, Edwards Air Force Base, California 93524, USA
| | - Yuchen Zhang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Mourad Roudjane
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Mark S. Gordon
- Department of Chemistry, Iowa State University, Ames, Iowa 50011-3111, USA
| | - Dong-Sheng Yang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
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15
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Desmarais JK, Erba A, Flament JP, Kirtman B. Perturbation Theory Treatment of Spin-Orbit Coupling, Part I: Double Perturbation Theory Based on a Single-Reference Initial Approximation. J Chem Theory Comput 2021; 17:4697-4711. [PMID: 34288690 DOI: 10.1021/acs.jctc.1c00343] [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
We develop a perturbation theory for solving the many-body Dirac equation within a given relativistic effective-core potential approximation. Starting from a scalar-relativistic unrestricted Hartree-Fock (SR UHF) solution, we carry out a double perturbation expansion in terms of spin-orbit coupling (SOC) and the electron fluctuation potential. Computationally convenient energy expressions are derived through fourth order in SOC, second order in the electron fluctuation potential, and a total of third order in the coupling between the two. Illustrative calculations on the halogen series of neutral and singly positive diatomic molecules show that the perturbation expansion is well-converged by taking into account only the leading (nonvanishing) term at each order of the electron fluctuation potential. Our perturbation theory approach provides a computationally attractive alternative to a two-component self-consistent field treatment of SOC. In addition, it includes coupling with the fluctuation potential through third order and can be extended (in principle) to multireference calculations, when necessary for both closed- and open-shell cases, using quasi-degenerate perturbation theory.
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Affiliation(s)
- Jacques K Desmarais
- Dipartimento di Chimica, Università di Torino, via Giuria 5, 10125 Torino, Italy.,IPREM, E2S UPPA, CNRS, Université de Pau et des Pays de l'Adour, 64053 Pau, France
| | - Alessandro Erba
- Dipartimento di Chimica, Università di Torino, via Giuria 5, 10125 Torino, Italy
| | - Jean-Pierre Flament
- UMR 8523-PhLAM-Physique des Lasers, Atomes et Molécules, CNRS, Université de Lille, 59000 Lille, France
| | - Bernard Kirtman
- Department of Chemistry and Biochemistry, University of California, Santa Barbara, Santa Barbara, California 93106, United States
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16
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Takashima C, Seino J, Nakai H. Database-assisted local unitary transformation method for two-electron integrals in two-component relativistic calculations. Chem Phys Lett 2021. [DOI: 10.1016/j.cplett.2021.138691] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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17
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Nyambo S, Zhang Y, Yang DS. Vibronic transitions and spin-orbit coupling of three-membered metallacycles formed by lanthanide-mediated dehydrogenation of dimethylamine. J Chem Phys 2021; 155:034302. [PMID: 34293886 DOI: 10.1063/5.0059659] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
Abstract
Metal-mediated N-H and C-H bond activation of aliphatic amines is an effective strategy for synthesizing biologically important molecules. Ln (Ln = La and Ce) atom reactions with dimethylamine are carried out in a pulsed-laser vaporization supersonic molecular beam source. A series of dehydrogenation species are observed with time-of-flight mass spectrometry, and the dehydrogenated Ln-containing species in the formula Ln(CH2NCH3) are characterized by single-photon mass-analyzed threshold ionization (MATI) spectroscopy and quantum chemical calculations. The theoretical calculations include density functional theory for both Ln species and multiconfiguration self-consistent field and quasi-degenerate perturbation theory for the Ce species. The MATI spectrum of La(CH2NCH3) consists of a single vibronic band system, which is assigned to the ionization of the doublet ground state of N-methyl-lanthanaaziridine. The MATI spectrum of Ce(CH2NCH3) displays two vibronic band systems, which are attributed to the ionization of two-pair lowest-energy spin-orbit coupling states of N-methyl-ceraaziridine. Both metallaaziridines are three-membered metallacycles and formed by the thermodynamically and kinetically favorable concerted dehydrogenation of the amino group and one of the methyl groups.
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Affiliation(s)
- Silver Nyambo
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Yuchen Zhang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Dong-Sheng Yang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
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18
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Desmarais JK, Erba A, Flament JP, Kirtman B. Perturbation Theory Treatment of Spin-Orbit Coupling II: A Coupled Perturbed Kohn-Sham Method. J Chem Theory Comput 2021; 17:4712-4732. [PMID: 34286577 DOI: 10.1021/acs.jctc.1c00460] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
A noncanonical coupled perturbed Kohn-Sham density functional theory (KS-DFT)/Hartree-Fock (HF) treatment of spin-orbit coupling (SOC) is provided. We take the scalar-relativistic KS-DFT/HF solution, obtained with a relativistic effective core potential, as the zeroth-order approximation. Explicit expressions are given for the total energy through the 4th order, which satisfy the 2n + 1 rule. Second-order expressions are provided for orbital energies and density variables of spin-current DFT. Test calculations are carried out on the halogen homonuclear diatomic and hydride molecules, including 6p and 7p elements, as well as open-shell negative ions. The computed properties through second or third order match well with those from reference two-component self-consistent field calculations for total and orbital energies as well as spin-current densities. In only one case (At2-) did a significant deviation occur for the remaining density variables. Our coupled perturbation theory approach provides an efficient way of adding the effect of SOC to a scalar-relativistic single-reference KS-DFT/HF treatment, in particular because it does not require diagonalization in the two-component spinor basis, leading to saving factors on the number of required floating-point operations that may exceed one order of magnitude.
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Affiliation(s)
- Jacques K Desmarais
- Dipartimento di Chimica, Università di Torino, via Giuria 5, 10125 Torino, Italy.,Université de Pau et des Pays de l'Adour, E2S UPPA, CNRS, IPREM, 64000 Pau, France
| | - Alessandro Erba
- Dipartimento di Chimica, Università di Torino, via Giuria 5, 10125 Torino, Italy
| | - Jean-Pierre Flament
- Université de Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers, Atomes et Molécules, 59000 Lille, France
| | - Bernard Kirtman
- Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106, United States
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19
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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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20
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Cao W, Zhang Y, Wu L, Yang DS. Threshold Ionization Spectroscopy and Theoretical Calculations of LnO (Ln = La and Ce). J Phys Chem A 2021; 125:1941-1948. [DOI: 10.1021/acs.jpca.1c00533] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Wenjin Cao
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, United States
| | - Yuchen Zhang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, United States
| | - Lu Wu
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, United States
| | - Dong-Sheng Yang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, United States
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21
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NAKAI H. Commentary toward the 20th Anniversary of the Society ofComputer Chemistry, Japan. JOURNAL OF COMPUTER CHEMISTRY-JAPAN 2021. [DOI: 10.2477/jccj.2021-0020] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Hiromi NAKAI
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University,3-4-1 Okubo, Shinjuku, Tokyo 169-8555, JAPAN
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22
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Ikabata Y, Nakai H. Picture-change correction in relativistic density functional theory. Phys Chem Chem Phys 2021; 23:15458-15474. [PMID: 34278401 DOI: 10.1039/d1cp01773j] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Relativistic quantum chemical calculations are performed based on one of two physical pictures, namely the Dirac picture and the Schrödinger picture. With regard to the latter, the so-called picture-change effect (PCE) and picture-change correction (PCC) have been studied. The PCE, which is the change in the expectation value associated with the transformation, is not commonly a minor effect. The electron density, which is given by the expectation value of the density operator, is a fundamental variable in relativistic density functional theory (RDFT). Thus, performing the PCC in RDFT calculations is essential not only in terms of numerical agreement with the Dirac picture, but also from the viewpoint of fundamental theory. This paper explains theories and numerical studies of PCE and PCC in RDFT after overviewing those in properties, which involves the authors' works on the development of RDFT in the Schrödinger picture and relativistic exchange-correlation functionals based on picture-change-corrected variables.
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Affiliation(s)
- Yasuhiro Ikabata
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan.
| | - Hiromi Nakai
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan. and Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan and Elements Strategy Initiative for Catalysts and Batteries (ESICB), Kyoto University, Katsura, Kyoto 615-8520, Japan
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23
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Nyambo S, Zhang Y, Yang DS. Spectroscopic and computational characterization of lanthanide-mediated N–H and C–H bond activation of methylamine. J Chem Phys 2020; 153:064304. [DOI: 10.1063/5.0020837] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Silver Nyambo
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Yuchen Zhang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Dong-Sheng Yang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
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24
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Maier TM, Ikabata Y, Nakai H. Relativistic local hybrid functionals and their impact on 1s core orbital energies. J Chem Phys 2020; 152:214103. [DOI: 10.1063/5.0010400] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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
- Technische Universität Berlin, Institut für Chemie, Theoretische Chemie/Quantenchemie, Sekr. C7, Straße des 17. Juni 135, D-10623 Berlin, Germany
| | - 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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25
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Affiliation(s)
- Wenjian Liu
- Qingdao Institute for Theoretical and Computational Sciences, Shandong University, Qingdao, Shandong 266237, People’s Republic of China
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26
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Yuan Q, Cao W, Hetzert M, Ruschewitz U, Wang XB. Velocity-Map Imaging and Magnetic-Bottle Photoelectron Spectroscopy of [SeCCH] -: Electronic Properties and Spin-Orbit Splitting. J Phys Chem A 2020; 124:3214-3219. [PMID: 32250629 DOI: 10.1021/acs.jpca.0c01936] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The recently synthesized acetylide compound KSeCCH containing the main group element selenium within the novel and in crystalline form unprecedented [SeCCH]- anion was successfully investigated in the gas phase by high-resolution velocity-map imaging (VMI) and magnetic-bottle (MB) photoelectron spectroscopy coupled with an electrospray ionization source. Both VMI and MB spectra exhibited identical electron affinities (EA, 2.517 ± 0.002 eV), spin-orbit coupling (SOC) splittings (1492 ± 20 cm-1), and Se-C stretching frequencies (573 ± 20 cm-1) of the corresponding neutral tetra-atomic radical [SeCCH]• with the VMI spectrum possessing six times higher spectral resolution compared with the MB spectrum. These experimental values were well reproduced by calculations at the CCSD(T) level, in which both the isolated [SeCCH]- anion and the [SeCCH]• radical adopted linear geometries. The simulated spectra based on the calculated Franck-Condon factors, the SOC splitting, and the experimental line width matched well with the measured spectra. Furthermore, comparisons of the EA and SOC splitting values with the previously reported isolobal species [SeCN]• are also made and discussed. The decrease in the EA and SOC splitting of [SeCCH]• is ascribed to the differences in the electronegativities between C and N atoms as well as the electron density on the Se atom in its singly occupied molecular orbital (SOMO).
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Affiliation(s)
- Qinqin Yuan
- Physical Sciences Division, Pacific Northwest National Laboratory, P.O. Box 999, MS K8-88, Richland, Washington 99352, United States
| | - Wenjin Cao
- Physical Sciences Division, Pacific Northwest National Laboratory, P.O. Box 999, MS K8-88, Richland, Washington 99352, United States
| | - Marc Hetzert
- Department of Chemistry, University of Cologne, Greinstrasse 6, 50939 Köln, Germany
| | - Uwe Ruschewitz
- Department of Chemistry, University of Cologne, Greinstrasse 6, 50939 Köln, Germany
| | - Xue-Bin Wang
- Physical Sciences Division, Pacific Northwest National Laboratory, P.O. Box 999, MS K8-88, Richland, Washington 99352, United States
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27
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Zhang Y, Yang DS. Spin-orbit coupling and vibronic transitions of Ce(C 3H 4) and Ce(C 3H 6) formed by the Ce reaction with propene: Mass-analyzed threshold ionization and relativistic quantum computation. J Chem Phys 2020; 152:144304. [PMID: 32295351 DOI: 10.1063/5.0002505] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A Ce atom reaction with propene is carried out in a pulsed laser vaporization molecule beam source. Several Ce-hydrocarbon species formed by the C-H and C-C bond activation of propene are observed by time-of-flight mass spectrometry, and Ce(C3Hn) (n = 4 and 6) are characterized by mass-analyzed threshold ionization (MATI) spectroscopy and density functional theory, multiconfiguration, and relativistic quantum chemical calculations. The MATI spectrum of each species consists of two vibronic band systems, each with several vibronic bands. Ce(C3H6) is identified as an inserted species with Ce inserting into an allylic C-H bond of propene and Ce(C3H4) as a metallocycle through 1,2-vinylic dehydrogenation. Both species have a Cs structure with the Ce 4f16s1 ground valence electron configuration in the neutral molecule and the Ce 4f1 configuration in the singly charged ion. The two vibronic band systems observed for each species are attributed to the ionization of two pairs of the lowest spin-orbit coupled states with each pair being nearly degenerate.
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Affiliation(s)
- Yuchen Zhang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Dong-Sheng Yang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
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28
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Zou W, Guo G, Suo B, Liu W. Analytic Energy Gradients and Hessians of Exact Two-Component Relativistic Methods: Efficient Implementation and Extensive Applications. J Chem Theory Comput 2020; 16:1541-1554. [DOI: 10.1021/acs.jctc.9b01120] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Wenli Zou
- Shaanxi Key Laboratory for Theoretical Physics Frontiers and Institute of Modern Physics, Northwest University, Xi’an 710127, Shaanxi, P. R. China
| | - Guina Guo
- Shaanxi Key Laboratory for Theoretical Physics Frontiers and Institute of Modern Physics, Northwest University, Xi’an 710127, Shaanxi, P. R. China
| | - Bingbing Suo
- Shaanxi Key Laboratory for Theoretical Physics Frontiers and Institute of Modern Physics, Northwest University, Xi’an 710127, Shaanxi, P. R. China
| | - Wenjian Liu
- Qingdao Institute for Theoretical and Computational Sciences, Shandong University, Qingdao 266237, Shandong, P. R. China
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29
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TAKASHIMA C, SEINO J, NAKAI H. Implementation of Picture Change Corrected Density Functional Theory Based on Infinite-Order Two-Component Method to GAMESS Program. JOURNAL OF COMPUTER CHEMISTRY-JAPAN 2020. [DOI: 10.2477/jccj.2021-0002] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Chinami TAKASHIMA
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Junji SEINO
- Department of Chemistry, Graduate School of Science, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji, Tokyo 192-0397, Japan
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
- PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, 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
- ESICB, Kyoto University, Kyotodaigaku-Katsura, Nishigyoku, Kyoto 615-8520, Japan
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30
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Zhang T, Kasper JM, Li X. Localized relativistic two-component methods for ground and excited state calculations. ACTA ACUST UNITED AC 2020. [DOI: 10.1016/bs.arcc.2020.07.005] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/19/2023]
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31
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Zhang Y, Cao W, Yang DS. Spin-orbit coupling and vibronic transitions of two Ce(C4H6) isomers probed by mass-analyzed threshold ionization and relativistic quantum computation. J Chem Phys 2019; 151:124307. [DOI: 10.1063/1.5123729] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Yuchen Zhang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Wenjin Cao
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Dong-Sheng Yang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
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32
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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: 1.8] [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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33
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Wodyński A, Kaupp M. Density Functional Calculations of Electron Paramagnetic Resonance g- and Hyperfine-Coupling Tensors Using the Exact Two-Component (X2C) Transformation and Efficient Approximations to the Two-Electron Spin-Orbit Terms. J Phys Chem A 2019; 123:5660-5672. [PMID: 31184482 DOI: 10.1021/acs.jpca.9b03979] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
Abstract
A two-component quasirelativistic density functional theory implementation of the computation of hyperfine and g-tensors at exact two-component (X2C) and Douglas-Kroll-Hess method (DKH) levels in the Turbomole code is reported and tested for a series of smaller 3d1, 4d1, and 5d1 complexes, as well as for some larger 5d7 Ir and Pt systems in comparison with earlier four-component matrix-Dirac-Kohn-Sham results. A main emphasis is placed on efficient approximations to the two-electron spin-orbit contributions, comparing an existing implementation of two variants of Boettger's "scaled nuclear spin-orbit" (SNSO) approximation in the code with a newly implemented atomic mean-field spin-orbit (AMFSO) approximation. The different variants perform overall comparably well with the four-component data. The AMFSO approximation has the added advantage of being able to include the spin-other-orbit contributions arising from the Gaunt term of relativistic electron-electron interactions. These are of comparably larger importance for the 3d complexes than for their heavier homologues. The excellent agreement between X2C and four-component electron paramagnetic resonance parameter results provides the opportunity to treat large systems efficiently and accurately with the computationally more expedient two-component quasirelativistic methodology.
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Affiliation(s)
- Artur Wodyński
- Technische Universität Berlin , Institut für Chemie, Theoretische Chemie/Quantenchemie , Sekr. C7, Straße des 17. Juni 135, D-10623 , Berlin , Germany
| | - Martin Kaupp
- Technische Universität Berlin , Institut für Chemie, Theoretische Chemie/Quantenchemie , Sekr. C7, Straße des 17. Juni 135, D-10623 , Berlin , Germany
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34
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Schoendorff G, Schmidt MW, Ruedenberg K, Gordon MS. Quasi-Atomic Bond Analyses in the Sixth Period: II. Bond Analyses of Cerium Oxides. J Phys Chem A 2019; 123:5249-5256. [PMID: 31199636 DOI: 10.1021/acs.jpca.9b04024] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The role of the 4f orbitals in bonding is examined for the molecules cerium monoxide and cerium dioxide that have cerium formally in the +2 and +4 oxidation states, respectively. It is shown that the 4f orbitals are used primarily for polarization of the 5d orbitals when cerium is in the lower oxidation state, while the 4f orbitals play a significant role in chemical bonding via 5d/4f hybridization when cerium is in the +4 oxidation state.
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Affiliation(s)
- George Schoendorff
- Mund-Lagowski Department of Chemistry and Biochemistry , Bradley University , Peoria , Illinois 61625 , United States
| | - Michael W Schmidt
- Department of Chemistry , Iowa State University , Ames , Iowa 50011-3111 , United States
| | - Klaus Ruedenberg
- Department of Chemistry , Iowa State University , Ames , Iowa 50011-3111 , United States
| | - Mark S Gordon
- Department of Chemistry , Iowa State University , Ames , Iowa 50011-3111 , United States
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35
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Ikabata Y, Oyama T, Hayami M, Seino J, Nakai H. Extension and acceleration of relativistic density functional theory based on transformed density operator. J Chem Phys 2019; 150:164104. [DOI: 10.1063/1.5090523] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yasuhiro Ikabata
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Takuro Oyama
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Masao Hayami
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Junji Seino
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
- PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan
| | - Hiromi Nakai
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
- Department of Chemistry and Biochemistry, School of Advanced 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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36
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Zhang Y, Nyambo S, Yang DS. Mass-analyzed threshold ionization spectroscopy of lanthanide imide LnNH (Ln = La and Ce) radicals from N–H bond activation of ammonia. J Chem Phys 2018; 149:234301. [DOI: 10.1063/1.5064597] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yuchen Zhang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Silver Nyambo
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
| | - Dong-Sheng Yang
- Department of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, USA
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37
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Mühlbach AH, Reiher M. Quantum system partitioning at the single-particle level. J Chem Phys 2018; 149:184104. [DOI: 10.1063/1.5055942] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Adrian H. Mühlbach
- Laboratorium für Physikalische Chemie, ETH Zürich, Vladimir-Prelog-Weg 2, CH-8093 Zürich, Switzerland
| | - Markus Reiher
- Laboratorium für Physikalische Chemie, ETH Zürich, Vladimir-Prelog-Weg 2, CH-8093 Zürich, Switzerland
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38
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Stopkowicz S, Gauss J. A one-electron variant of direct perturbation theory for the treatment of scalar-relativistic effects. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1536812] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
Affiliation(s)
- Stella Stopkowicz
- Institut für Physikalische Chemie, Johannes Gutenberg-Universität Mainz, Mainz, Germany
| | - Jürgen Gauss
- Institut für Physikalische Chemie, Johannes Gutenberg-Universität Mainz, Mainz, Germany
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39
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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: 2.4] [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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40
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Franzke YJ, Middendorf N, Weigend F. Efficient implementation of one- and two-component analytical energy gradients in exact two-component theory. J Chem Phys 2018; 148:104110. [DOI: 10.1063/1.5022153] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yannick J. Franzke
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstraße 12, 76131 Karlsruhe, Germany
| | - Nils Middendorf
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstraße 12, 76131 Karlsruhe, Germany
| | - Florian Weigend
- Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstraße 12, 76131 Karlsruhe, Germany
- Institute of Nanotechnology, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
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41
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Galembeck SE, Caramori GF, Misturini A, Garcia LC, Orenha RP. Metal–Ligand Bonding Situation in Ruthenophanes Containing Multibridged Cyclophanes. Organometallics 2017. [DOI: 10.1021/acs.organomet.7b00393] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Affiliation(s)
- Sérgio E. Galembeck
- Departamento
de Química, FFCLRP, Universidade de São Paulo, Ribeirão
Preto, 14040-901 São
Paulo, Brazil
| | - Giovanni F. Caramori
- Departamento
de Química, Universidade Federal de Santa Catarina, Campus
Universitário Trindade, CP 476, Florianópolis, 88040-900 Santa Catarina, Brazil
| | - Alechania Misturini
- Departamento
de Química, Universidade Federal de Santa Catarina, Campus
Universitário Trindade, CP 476, Florianópolis, 88040-900 Santa Catarina, Brazil
| | - Leone C. Garcia
- Instituto Federal de Educação, Ciência e Tecnologia de Santa Catarina IFSC Campus, São José, 88103-310 Santa Catarina, Brazil
| | - Renato P. Orenha
- Departamento
de Química, FFCLRP, Universidade de São Paulo, Ribeirão
Preto, 14040-901 São
Paulo, Brazil
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42
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Oyama T, Ikabata Y, Seino J, Nakai H. Relativistic density functional theory with picture-change corrected electron density based on infinite-order Douglas-Kroll-Hess method. Chem Phys Lett 2017. [DOI: 10.1016/j.cplett.2017.05.023] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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43
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Universal formulation of second-order generalized Møller–Plesset perturbation theory for a spin-dependent two-component relativistic many-electron Hamiltonian. Chem Phys Lett 2017. [DOI: 10.1016/j.cplett.2017.03.027] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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44
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45
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Nakajima Y, Seino J, Hayami M, Nakai H. Relativistic frozen core potential scheme with relaxation of core electrons. Chem Phys Lett 2016. [DOI: 10.1016/j.cplett.2016.09.069] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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46
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Zhang Y, Schmidt MW, Kumari S, Gordon MS, Yang DS. Threshold Ionization and Spin–Orbit Coupling of Ceracyclopropene Formed by Ethylene Dehydrogenation. J Phys Chem A 2016; 120:6963-9. [DOI: 10.1021/acs.jpca.6b07396] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Yuchen Zhang
- Department
of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, United States
| | - Michael W. Schmidt
- Department
of Chemistry, Iowa State University, Ames, Iowa 50011-3111, United States
| | - Sudesh Kumari
- Department
of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, United States
| | - Mark S. Gordon
- Department
of Chemistry, Iowa State University, Ames, Iowa 50011-3111, United States
| | - Dong-Sheng Yang
- Department
of Chemistry, University of Kentucky, Lexington, Kentucky 40506-0055, United States
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47
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Nakajima Y, Seino J, Nakai H. Implementation of Analytical Energy Gradient of Spin-Dependent General Hartree-Fock Method Based on the Infinite-Order Douglas-Kroll-Hess Relativistic Hamiltonian with Local Unitary Transformation. J Chem Theory Comput 2016; 12:2181-90. [PMID: 27045757 DOI: 10.1021/acs.jctc.5b00928] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
An analytical energy gradient for the spin-dependent general Hartree-Fock method based on the infinite-order Douglas-Kroll-Hess (IODKH) method was developed. To treat realistic systems, the local unitary transformation (LUT) scheme was employed both in energy and energy gradient calculations. The present energy gradient method was numerically assessed to investigate the accuracy in several diatomic molecules containing fifth- and sixth-period elements and to examine the efficiency in one-, two-, and three-dimensional silver clusters. To arrive at a practical calculation, we also determined the geometrical parameters of fac-tris(2-phenylpyridine)iridium and investigated the efficiency. The numerical results confirmed that the present method describes a highly accurate relativistic effect with high efficiency. The present method can be a powerful scheme for determining geometries of large molecules, including heavy-element atoms.
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Affiliation(s)
- Yuya Nakajima
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University , Tokyo 169-8555, Japan
| | - Junji Seino
- Research Institute for Science and Engineering, Waseda University , Tokyo 169-8555, Japan
| | - Hiromi Nakai
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University , Tokyo 169-8555, Japan.,Research Institute for Science and Engineering, Waseda University , Tokyo 169-8555, Japan.,CREST, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan.,Elements Strategy Initiative for Catalysts and Batteries (ESICB), Kyoto University , Katsura, Kyoto 615-8520, Japan
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48
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NAKAJIMA Y, SEINO J, SCHMIDT MW, NAKAI H. Implementation of Efficient Two-component Relativistic Method Using Local Unitary Transformation to GAMESS Program. JOURNAL OF COMPUTER CHEMISTRY-JAPAN 2016. [DOI: 10.2477/jccj.2016-0029] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Yuya NAKAJIMA
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan
| | - Junji SEINO
- Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan
| | - Michael W. SCHMIDT
- Department of Chemistry and Ames Laboratory USDOE, Iowa State University, Ames, Iowa 50011, United States
| | - Hiromi NAKAI
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan
- Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan
- CREST, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan
- Elements Strategy Initiative for Catalysts and Batteries (ESICB), Kyoto University, Katsura, Kyoto 615-8520, Japan
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49
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Aquilante F, Autschbach J, Carlson RK, Chibotaru LF, Delcey MG, De Vico L, Fdez Galván I, Ferré N, Frutos LM, Gagliardi L, Garavelli M, Giussani A, Hoyer CE, Li Manni G, Lischka H, Ma D, Malmqvist PÅ, Müller T, Nenov A, Olivucci M, Pedersen TB, Peng D, Plasser F, Pritchard B, Reiher M, Rivalta I, Schapiro I, Segarra-Martí J, Stenrup M, Truhlar DG, Ungur L, Valentini A, Vancoillie S, Veryazov V, Vysotskiy VP, Weingart O, Zapata F, Lindh R. Molcas 8: New capabilities for multiconfigurational quantum chemical calculations across the periodic table. J Comput Chem 2015; 37:506-41. [PMID: 26561362 DOI: 10.1002/jcc.24221] [Citation(s) in RCA: 1139] [Impact Index Per Article: 113.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/15/2015] [Revised: 09/07/2015] [Accepted: 09/09/2015] [Indexed: 12/17/2022]
Abstract
In this report, we summarize and describe the recent unique updates and additions to the Molcas quantum chemistry program suite as contained in release version 8. These updates include natural and spin orbitals for studies of magnetic properties, local and linear scaling methods for the Douglas-Kroll-Hess transformation, the generalized active space concept in MCSCF methods, a combination of multiconfigurational wave functions with density functional theory in the MC-PDFT method, additional methods for computation of magnetic properties, methods for diabatization, analytical gradients of state average complete active space SCF in association with density fitting, methods for constrained fragment optimization, large-scale parallel multireference configuration interaction including analytic gradients via the interface to the Columbus package, and approximations of the CASPT2 method to be used for computations of large systems. In addition, the report includes the description of a computational machinery for nonlinear optical spectroscopy through an interface to the QM/MM package Cobramm. Further, a module to run molecular dynamics simulations is added, two surface hopping algorithms are included to enable nonadiabatic calculations, and the DQ method for diabatization is added. Finally, we report on the subject of improvements with respects to alternative file options and parallelization.
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Affiliation(s)
- Francesco Aquilante
- Department of Chemistry - Ångström, The Theoretical Chemistry Programme, Uppsala University, Box 518, Uppsala, 751 20, Sweden.,Dipartimento di Chimica "G. Ciamician", Università di Bologna, via Selmi 2, IT-40126, Bologna, Italy
| | - Jochen Autschbach
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York, 14260-3000, USA
| | - Rebecca K Carlson
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota, Minneapolis, Minnesota, 55455-0431, USA
| | - Liviu F Chibotaru
- Division of Quantum and Physical Chemistry, and INPAC, Institute for Nanoscale Physics and Chemistry, Katholieke Universiteit Leuven Celestijnenlaan, 200F, 3001, Belgium
| | - Mickaël G Delcey
- Department of Chemistry - Ångström, The Theoretical Chemistry Programme, Uppsala University, Box 518, Uppsala, 751 20, Sweden
| | - Luca De Vico
- Department of Chemistry, Copenhagen University, Universitetsparken 5, Copenhagen Ø, 2100, Denmark
| | - Ignacio Fdez Galván
- Department of Chemistry - Ångström, The Theoretical Chemistry Programme, Uppsala University, Box 518, Uppsala, 751 20, Sweden.,Uppsala Center for Computational Chemistry - UC3, Uppsala University, Box 518, Uppsala, 751 20, Sweden
| | - Nicolas Ferré
- Université d'Aix-Marseille, CNRS, Institut de Chimie Radicalaire, Campus Étoile/Saint-Jérôme Case 521, Avenue Esc. Normandie Niemen, Marseille Cedex 20, 13397, France
| | - Luis Manuel Frutos
- Unidad Docente de Química Física, Universidad de Alcalá, E-28871 Alcalá de Henares, Madrid, Spain
| | - Laura Gagliardi
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota, Minneapolis, Minnesota, 55455-0431, USA
| | - Marco Garavelli
- Dipartimento di Chimica "G. Ciamician", Università di Bologna, via Selmi 2, IT-40126, Bologna, Italy.,Université de Lyon, CNRS, École Normale Supérieure de Lyon, 46 Allée d'Italie, Lyon Cedex 07, F-69364, France
| | - Angelo Giussani
- Dipartimento di Chimica "G. Ciamician", Università di Bologna, via Selmi 2, IT-40126, Bologna, Italy
| | - Chad E Hoyer
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota, Minneapolis, Minnesota, 55455-0431, USA
| | - Giovanni Li Manni
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota, Minneapolis, Minnesota, 55455-0431, USA.,Max Planck Institut für Festkörperforschung, Heisenbergstraße 1, Stuttgart, 70569, Germany
| | - Hans Lischka
- Department of Chemistry and Biochemistry, Texas Tech University, Memorial Circle and Boston, Lubbock, Texas, 79409-1061, USA.,Institute for Theoretical Chemistry, University of Vienna, Währingerstraße 17, Vienna, A-1090, Austria
| | - Dongxia Ma
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota, Minneapolis, Minnesota, 55455-0431, USA.,Max Planck Institut für Festkörperforschung, Heisenbergstraße 1, Stuttgart, 70569, Germany
| | - Per Åke Malmqvist
- Department of Theoretical Chemistry, Lund University, Chemical Center, P.O.B 124 S-221 00, Lund, Sweden
| | - Thomas Müller
- Jülich Supercomputing Centre (JSC), Forschungszentrum Jülich GmbH, Institute for Advanced Simulation (IAS), Wilhelm-Johnen-Straße, Jülich, 52425, Germany
| | - Artur Nenov
- Dipartimento di Chimica "G. Ciamician", Università di Bologna, via Selmi 2, IT-40126, Bologna, Italy
| | - Massimo Olivucci
- Department of Biotechnology, Chemistry and Pharmacy, University of Siena, via Aldo Moro 2, Siena, 53100, Italy.,Chemistry Department, Bowling Green State University, 141 Overman Hall, Bowling Green, Ohio, 43403, USA.,Institut de Physique et Chimie des Matériaux de Strasbourg & Labex NIE, Université de Strasbourg, CNRS UMR 7504, 23 Rue du Loess, Strasbourg, 67034, France
| | - Thomas Bondo Pedersen
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, Oslo, 0315, Norway
| | - Daoling Peng
- College of Chemistry and Environment, South China Normal University, Guangzhou, 510006, China
| | - Felix Plasser
- Institute for Theoretical Chemistry, University of Vienna, Währingerstraße 17, Vienna, A-1090, Austria
| | - Ben Pritchard
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York, 14260-3000, USA
| | - Markus Reiher
- ETH Zurich, Laboratorium für Physikalische Chemie, Vladimir-Prelog-Weg 2, Zurich, CH-8093, Switzerland
| | - Ivan Rivalta
- Université de Lyon, CNRS, École Normale Supérieure de Lyon, 46 Allée d'Italie, Lyon Cedex 07, F-69364, France
| | - Igor Schapiro
- Institut de Physique et Chimie des Matériaux de Strasbourg & Labex NIE, Université de Strasbourg, CNRS UMR 7504, 23 Rue du Loess, Strasbourg, 67034, France.,Fritz Haber Center for Molecular Dynamics, Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel
| | - Javier Segarra-Martí
- Dipartimento di Chimica "G. Ciamician", Università di Bologna, via Selmi 2, IT-40126, Bologna, Italy
| | - Michael Stenrup
- Department of Chemistry - Ångström, The Theoretical Chemistry Programme, Uppsala University, Box 518, Uppsala, 751 20, Sweden.,Uppsala Center for Computational Chemistry - UC3, Uppsala University, Box 518, Uppsala, 751 20, Sweden
| | - Donald G Truhlar
- Department of Chemistry, Supercomputing Institute, and Chemical Theory Center, University of Minnesota, Minneapolis, Minnesota, 55455-0431, USA
| | - Liviu Ungur
- Division of Quantum and Physical Chemistry, and INPAC, Institute for Nanoscale Physics and Chemistry, Katholieke Universiteit Leuven Celestijnenlaan, 200F, 3001, Belgium
| | - Alessio Valentini
- Unidad Docente de Química Física, Universidad de Alcalá, E-28871 Alcalá de Henares, Madrid, Spain.,Department of Biotechnology, Chemistry and Pharmacy, University of Siena, via Aldo Moro 2, Siena, 53100, Italy
| | - Steven Vancoillie
- Department of Theoretical Chemistry, Lund University, Chemical Center, P.O.B 124 S-221 00, Lund, Sweden
| | - Valera Veryazov
- Department of Theoretical Chemistry, Lund University, Chemical Center, P.O.B 124 S-221 00, Lund, Sweden
| | - Victor P Vysotskiy
- Department of Theoretical Chemistry, Lund University, Chemical Center, P.O.B 124 S-221 00, Lund, Sweden
| | - Oliver Weingart
- Institut für Theoretische Chemie und Computerchemie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, Düsseldorf, 40225, Germany
| | - Felipe Zapata
- Unidad Docente de Química Física, Universidad de Alcalá, E-28871 Alcalá de Henares, Madrid, Spain
| | - Roland Lindh
- Department of Chemistry - Ångström, The Theoretical Chemistry Programme, Uppsala University, Box 518, Uppsala, 751 20, Sweden.,Uppsala Center for Computational Chemistry - UC3, Uppsala University, Box 518, Uppsala, 751 20, Sweden
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50
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Hayami M, Seino J, Nakai H. Accompanying coordinate expansion and recurrence relation method using a transfer relation scheme for electron repulsion integrals with high angular momenta and long contractions. J Chem Phys 2015; 142:204110. [DOI: 10.1063/1.4921541] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Masao Hayami
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan
| | - Junji Seino
- Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan
| | - Hiromi Nakai
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan
- Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan
- CREST, Japan Science and Technology Agency, Saitama 332-0012, Japan
- Elements Strategy Initiative for Catalysts and Batteries (ESICB), Kyoto University, Katsura, Kyoto 615-8520, Japan
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