Updated on 2022/05/25

写真a

 
NAKAI, Hiromi
 
Affiliation
Faculty of Science and Engineering, School of Advanced Science and Engineering
Job title
Professor
Profile
早稲田大学 先進理工学部 化学・生命化学科 教授
〔経歴〕1992年京都大学大学院 工学研究科 合成化学専攻博士後期課程修了。
京都大学 工学部 合成・生物化学科助手、早稲田大学 理工学部 化学科 専任講師、助教授を経て2004年より教授。
2006年学部再編に伴い現職
〔専門〕理論化学、量子化学、電子状態理論
〔趣味〕テニス
〔連絡先〕E-mail:nakai@waseda.jp

Concurrent Post

  • Faculty of Science and Engineering   Graduate School of Advanced Science and Engineering

  • Affiliated organization   Global Education Center

Research Institute

  • 2020
    -
    2022

    理工学術院総合研究所   兼任研究員

Education

  • 1990.04
    -
    1992.03

    Kyoto University   Graduate School of Engineering   Department of Synthetic Chemistry  

  •  
    -
    1992

    Kyoto University   Graduate School, Division of Engineering  

  •  
    -
    1992

    Kyoto University   Graduate School, Division of Engineering  

  • 1989.04
    -
    1990.03

    Kyoto University   Graduate School of Engineering   Department of Molecular Engineering  

  • 1987.04
    -
    1989.03

    Kyoto University   Graduate School of Engineering   Department of Molecular Engineering  

  • 1983.04
    -
    1987.03

    Kyoto University   Faculty of Engineering   Department of Chemical Engineering  

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Degree

  • 京都大学   博士(工学)

  • Doctor(Engineering)

Research Experience

  • 2010.04
    -
    2011.03

    自然科学研究機構 分子科学研究所 理論・計算分子科学研究領域 客員教授(兼任)

  • 2006.04
    -
     

    Collaborative Researcher, The Institute of Physical

  • 2005.04
    -
    2006.03

    東京工業大学 資源研究所 非常勤講師 (兼任)

  • 2004.04
    -
    2006.03

    Professor, Waseda Univ.

  • 1997.02
    -
    2005.03

    and Chemical Research.(Concurrrent)

  • 1998.04
    -
    2004.03

    Associate Professor, Waseda Univ.

  • 2002.10
    -
    2003.10

    Visiting Professor, Rice Univ.(Concurrent)

  • 1996.04
    -
    1998.03

    Assistant Professor, Waseda Univ.

  • 1992.05
    -
    1996.03

    Research Associate, Kyoto Univ.

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Professional Memberships

  • 2019.06
    -
    Now

    Japan Society of Theoretical Chemistry (JSTC)

  •  
     
     

    Asia-Pacific Association of Theoretical & Computational Chemists (APATCC)

  •  
     
     

    The World Association of Theoretically Oriented Chemists (WATOC)

  •  
     
     

    American Chemical Society

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    American Physical Society

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    ナノ学会

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    Catalysis Society of Japan

  •  
     
     

    Society of Computer Chemistry, Japan

  •  
     
     

    Japan Society for Molecular Science

  •  
     
     

    Chemical Society of Japan

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Research Areas

  • Fundamental physical chemistry

Research Interests

  • 分子構造、電子状態、量子化学、電子状態理論

  • Machine Learning

  • Theoretical Chemistry

  • Molecular Simulation

  • Quantum Chemistry

  • Electronic State Theory

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Papers

  • An Air‐ and Water‐Stable B4N4‐Heteropentalene Serving as a Host Material for a Phosphorescent OLED

    Junki Kashida, Yoshiaki Shoji, Yasuhiro Ikabata, Hideo Taka, Hayato Sakai, Taku Hasobe, Hiromi Nakai, Takanori Fukushima

    Angewandte Chemie International Edition    2021.08

    DOI

  • Quantum Chemical Calculations for up to One Hundred Million Atoms Using Dcdftbmd Code on Supercomputer Fugaku

    Yoshifumi Nishimura, Hiromi Nakai

    Chemistry Letters   50 ( 8 ) 1546 - 1550  2021.08

    DOI

  • An Element‐Substituted Cyclobutadiene Exhibiting High‐Energy Blue Phosphorescence

    Yoshiaki Shoji, Yasuhiro Ikabata, Ivan Rhyzhii, Rabia Ayub, Ouissam El Bakouri, Taiga Sato, Qi Wang, Tomoaki Miura, Buddhika S. B. Karunathilaka, Youichi Tsuchiya, Chihaya Adachi, Henrik Ottosson, Hiromi Nakai, Tadaaki Ikoma, Takanori Fukushima

    Angewandte Chemie International Edition    2021.06

    DOI

  • Assessing locally range-separated hybrid functionals from a gradient expansion of the exchange energy density

    Toni M. Maier, Yasuhiro Ikabata, Hiromi Nakai

    The Journal of Chemical Physics   154 ( 21 ) 214101 - 214101  2021.06

    DOI

  • Is Oxygen Diffusion Faster in Bulk CeO2 or on a (111)-CeO2 Surface? A Theoretical Study

    Aditya Wibawa Sakti, Chien-Pin Chou, Yoshifumi Nishimura, Hiromi Nakai

    Chemistry Letters   50 ( 4 ) 568 - 571  2021.04

    DOI

  • Theoretical prediction by DFT and experimental observation of heterocation-doping effects on hydrogen adsorption and migration over the CeO<inf>2</inf>(111) surface

    Kota Murakami, Yuta Mizutani, Hiroshi Sampei, Atsushi Ishikawa, Yuta Tanaka, Sasuga Hayashi, Sae Doi, Takuma Higo, Hideaki Tsuneki, Hiromi Nakai, Yasushi Sekine

    Physical Chemistry Chemical Physics   23 ( 8 ) 4509 - 4516  2021.02

     View Summary

    Hydrogen (H) atom adsorption and migration over the CeO2-based materials surface are of great importance because of its wide applications to catalytic reactions and electrochemical devices. Therefore, comprehensive knowledge for controlling the H atom adsorption and migration over CeO2-based materials is crucially important. For controlling H atom adsorption and migration, we investigated irreducible divalent, trivalent, and quadrivalent heterocation-doping effects on H atom adsorption and migration over the CeO2(111) surface using density functional theory (DFT) calculations. Results revealed that the electron-deficient lattice oxygen (Olat) and the flexible CeO2matrix played key roles in strong adsorption of H atoms. Heterocations with smaller valence and smaller ionic radius induced the electron-deficient Olat. In addition, smaller cation doping enhanced the CeO2matrix flexibility. Moreover, we confirmed the influence of H atom adsorption controlled by doping on surface proton migration (i.e.surface protonics) and catalytic reaction involving surface protonics (NH3synthesis in an electric field). Results confirmed clear correlation between H atom adsorption energy and surface protonics.

    DOI PubMed

  • Effects of A-site composition of perovskite (Sr<inf>1−x</inf>Ba<inf>x</inf>ZrO<inf>3</inf>) oxides on H atom adsorption, migration, and reaction

    Yuta Tanaka, Kota Murakami, Sae Doi, Kazuharu Ito, Koki Saegusa, Yuta Mizutani, Sasuga Hayashi, Takuma Higo, Hideaki Tsuneki, Hiromi Nakai, Yasushi Sekine

    RSC Advances   11 ( 13 ) 7621 - 7626  2021.02

     View Summary

    Hydrogen (H) atomic migration over a metal oxide is an important surface process in various catalytic reactions. Control of the interaction between H atoms and the oxide surfaces is therefore important for better catalytic performance. For this investigation, we evaluated the adsorption energies of the H atoms over perovskite-type oxides (Sr1−xBaxZrO3; 0.00 ≤x≤ 0.50) using DFT (Density Functional Theory) calculations, then clarified the effects of cation-substitution in the A-site of perovskite oxides on H atom adsorption, migration, and reaction. Results indicated local distortion at the oxide surface as a key factor governing H atom adsorption. Subtle Ba2+substitution for Sr2+sites provoked local distortion at the Sr1−xBaxZrO3oxide surface, which led to a decrement in the H atom adsorption energy. Furthermore, the effect of Sr2+/Ba2+ratio on the H atoms' reactivities was examined experimentally using a catalytic reaction, which was promoted by activated surface H atoms. Results show that the surface H atoms activated by the substitution of Sr2+sites with a small amount of Ba2+(x= 0.125) contributed to enhancement of ammonia synthesis rate in an electric field, which showed good agreement with predictions made using DFT calculations.

    DOI

  • Picture-change correction in relativistic density functional theory

    Yasuhiro Ikabata, Hiromi Nakai

    Physical Chemistry Chemical Physics    2021

     View Summary

    <p>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...</p>

    DOI

  • Confined water-mediated high proton conduction in hydrophobic channel of a synthetic nanotube

    Ken-ichi Otake, Kazuya Otsubo, Tokutaro Komatsu, Shun Dekura, Jared M. Taylor, Ryuichi Ikeda, Kunihisa Sugimoto, Akihiko Fujiwara, Chien-Pin Chou, Aditya Wibawa Sakti, Yoshifumi Nishimura, Hiromi Nakai, Hiroshi Kitagawa

    Nature Communications   11 ( 1 ) 843  2020.12  [Refereed]

    DOI

  • Machine-learned electron correlation model based on frozen core approximation

    Yasuhiro Ikabata, Ryo Fujisawa, Junji Seino, Takeshi Yoshikawa, Hiromi Nakai

    JOURNAL OF CHEMICAL PHYSICS   153 ( 18 )  2020.11

     View Summary

    The machine-learned electron correlation (ML-EC) model is a regression model in the form of a density functional that reproduces the correlation energy density based on wavefunction theory. In a previous study [T. Nudejima et al., J. Chem. Phys. 151, 024104 (2019)], the ML-EC model was constructed using the correlation energy density from all-electron calculations with basis sets including core polarization functions. In this study, we applied the frozen core approximation (FCA) to the correlation energy density to reduce the computational cost of the response variable used in machine learning. The coupled cluster singles, doubles, and perturbative triples [CCSD(T)] correlation energy density obtained from a grid-based energy density analysis was analyzed within FCA and correlation-consistent basis sets without core polarization functions. The complete basis set (CBS) limit of the correlation energy density was obtained using the extrapolation and composite schemes. The CCSD(T)/CBS correlation energy densities based on these schemes showed reasonable behavior, indicating its appropriateness as a response variable. As expected, the computational time was significantly reduced, especially for systems containing elements with a large number of inner-shell electrons. Based on the density-to-density relationship, a large number of data (5 662 500 points), which were accumulated from 30 molecules, were sufficient to construct the ML-EC model. The valence-electron correlation energies and reaction energies calculated using the constructed model were in good agreement with the reference values, the latter of which were superior in accuracy to density functional calculations using 71 exchange-correlation functionals. The numerical results indicate that the FCA is useful for constructing a versatile model.

    DOI

  • Hydroxide Ion Carrier for Proton Pumps in Bacteriorhodopsin: Primary Proton Transfer

    Junichi Ono, Minori Imai, Yoshifumi Nishimura, Hiromi Nakai

    JOURNAL OF PHYSICAL CHEMISTRY B   124 ( 39 ) 8524 - 8539  2020.10

     View Summary

    Bacteriorhodopsin (BR) is a model protein for light-driven proton pumps, where the vectorial active proton transport results in light-energy conversion. To clarify the microscopic mechanism of primary proton transfer from retinal Schiff base (SB) to Asp85 in BR, herein, we performed quantum-mechanical metadynamics simulations with the isolated BR model (similar to 3750 atoms). The simulations showed a novel proton transfer mechanism, viz. the hydroxide ion mechanism, in which the deprotonation of specific internal water (Wat452) yields the protonation of Asp85 via Thr89, after which the resulting hydroxide ion accepts the remaining proton from retinal SB. Systematic investigations adopting four sequential snapshots obtained by the time-resolved serial femtosecond crystallography revealed that proton transfer took 2-5.25 mu s on the photocycle. The presence of Wat401, which is the main difference between snapshots at 2 and 5.25 mu s, is found to be essential in assisting the primary proton transfer. Furthermore, the hydroxide ion mechanism was confirmed by the minimum energy path for the primary proton transfer in BR obtained by the nudged elastic band calculations with the embedded BR model (10,119 atoms), in which BR was embedded within lipid membranes in between water solvents.

    DOI

  • Hierarchical parallelization of divide‐and‐conquer density functional tight‐binding molecular dynamics and metadynamics simulations

    Yoshifumi Nishimura, Hiromi Nakai

    Journal of Computational Chemistry   41 ( 19 ) 1759 - 1772  2020.07  [Refereed]

    DOI

  • Solvent Selection Scheme Using Machine Learning Based on Physicochemical Description of Solvent Molecules: Application to Cyclic Organometallic Reaction

    Mikito Fujinami, Hiroki Maekawara, Ryota Isshiki, Junji Seino, Junichiro Yamaguchi, Hiromi Nakai

    BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN   93 ( 7 ) 841 - 845  2020.07

     View Summary

    A solvent selection scheme for optimization of reactions is proposed using machine learning, based on the numerical descriptions of solvent molecules. Twenty-eight key solvents were represented using 17 physicochemical descriptors. Clustering analysis results implied that the descriptor represents the chemical characteristics of the solvent molecules. During the assessment of an organometallic reaction system, the regression analysis indicated that learning even a small number of experimental results can be useful for identifying solvents that will produce high experimental yields. Observation of the regression coefficients, and both clustering and regression analysis, can be effective when selecting a solvent to be used for an experiment.

    DOI

  • Weighted histogram analysis method for multiple short-time metadynamics simulations

    Junichi Ono, Hiromi Nakai

    Chemical Physics Letters   751   137384 - 137384  2020.07  [Refereed]

     View Summary

    An efficient calculation scheme for obtaining free energy surfaces (FESs) in chemical or biological systems from multiple metadynamics (metaD) simulations was developed. In this study, the biased probability distributions of the collective variables and other degrees of freedom were separately calculated in multiple short-time metaD simulations using the reweighting method. The corresponding equilibrium probability distribution was finally constructed using the weighted histogram analysis method (WHAM). This method was applied for the conformational transitions of alanine dipeptide in the gas phase as an illustrative application. The results confirmed that this method was feasible for efficiently generating the converged FES.

    DOI

  • The important role of N<inf>2</inf>H formation energy for low-temperature ammonia synthesis in an electric field

    Kota Murakami, Yuta Tanaka, Ryuya Sakai, Kenta Toko, Kazuharu Ito, Atsushi Ishikawa, Takuma Higo, Tomohiro Yabe, Shuhei Ogo, Masatoshi Ikeda, Hideaki Tsuneki, Hiromi Nakai, Yasushi Sekine

    Catalysis Today   351   119 - 124  2020.07  [Refereed]

     View Summary

    © 2018 Elsevier B.V. Development of a highly efficient ammonia synthesis process is desirable for achieving a sustainable society. Regarding conventional heterogeneous catalysts, Ru-supported catalyst exhibits higher turn-over frequency (TOF) than Fe-supported or Ni-supported catalysts. However, we found that Fe-supported and Ni-supported catalysts show higher TOF than Ru-supported catalyst in an electric field at the low temperature of 373 K. Density functional theory (DFT) calculations revealed that N2 dissociation through the “associative mechanism” plays a key role in the electric field. The ammonia synthesis activity in the electric field is determined by the N2H formation energy at the metal-support interface.

    DOI

  • Finite-temperature-based time-dependent density-functional theory method for static electron correlation systems

    Takeshi Yoshikawa, Toshiki Doi, Hiromi Nakai

    The Journal of Chemical Physics    2020.06  [Refereed]

    DOI

  • Spin‐flip approach within time‐dependent density functional tight‐binding method: Theory and applications

    Mayu Inamori, Takeshi Yoshikawa, Yasuhiro Ikabata, Yoshifumi Nishimura, Hiromi Nakai

    Journal of Computational Chemistry   41 ( 16 ) 1538 - 1548  2020.06  [Refereed]

    DOI

  • Non-adiabatic molecular dynamics with divide-and-conquer type large-scale excited-state calculations

    Hiroki Uratani, Hiromi Nakai

    The Journal of Chemical Physics   152 ( 22 ) 224109 - 224109  2020.06  [Refereed]

    DOI

  • Relativistic local hybrid functionals and their impact on 1s core orbital energies

    Toni M. Maier, Yasuhiro Ikabata, Hiromi Nakai

    The Journal of Chemical Physics   152 ( 21 ) 214103 - 214103  2020.06  [Refereed]

    DOI

  • Simulating the Coupled Structural–Electronic Dynamics of Photoexcited Lead Iodide Perovskites

    Hiroki Uratani, Hiromi Nakai

    The Journal of Physical Chemistry Letters   11 ( 11 ) 4448 - 4455  2020.06  [Refereed]

    DOI

  • Orbital-free density functional theory calculation applying semi-local machine-learned kinetic energy density functional and kinetic potential

    Mikito Fujinami, Ryo Kageyama, Junji Seino, Yasuhiro Ikabata, Hiromi Nakai

    Chemical Physics Letters   748   137358 - 137358  2020.06  [Refereed]

    DOI

  • Catalytic Dehydrogenation of Ethane over Doped Perovskite via the Mars-van Krevelen Mechanism

    Kenta Toko, Kazuharu Ito, Hikaru Saito, Yukiko Hosono, Kota Murakami, Satoshi Misaki, Takuma Higo, Shuhei Ogo, Hideaki Tsuneki, Shun Maeda, Kunihide Hashimoto, Hiromi Nakai, Yasushi Sekine

    Journal of Physical Chemistry C   124 ( 19 ) 10462 - 10469  2020.05  [Refereed]

     View Summary

    Copyright © 2020 American Chemical Society. For effective utilization of ethane in natural gas, catalytic dehydrogenation of ethane is a promising option that offers better efficiency than ethane cracking to produce ethylene, the most important fundamental chemical. Recently, it was reported that catalytic dehydrogenation of ethane proceeds effectively on doped perovskite oxide via the Mars-van Krevelen (MvK) mechanism. For this work, the reaction mechanism was investigated using density functional theory calculations. Results demonstrated that ethane activation over perovskite (La1-xBaxMnO3-δ) proceeds at the surface lattice oxygen coordinated with Ba, resulting in a low energy barrier of the C-H bond activation. Based on Bader charge analysis, the electron-deficient surface lattice oxygen, which is favorable for hydrogen abstraction from light alkanes, forms around Ba. In addition, the electronic charges of the surface lattice oxygen are important for H2 desorption. The electronic charge depends on hydrogen coverage: electron-rich surface lattice oxygen, which is favorable for H2 desorption, forms at high hydrogen coverage. Therefore, a part of the surface lattice oxygens of perovskite would be covered with hydrogen atoms under the reaction atmosphere, leading to effective H2 desorption and the proceeding catalytic cycle via the MvK mechanism.

    DOI

  • Unveiling controlling factors of the S0/S1 minimum energy conical intersection (2): Application to penalty function method

    Mayu Inamori, Yasuhiro Ikabata, Takeshi Yoshikawa, Hiromi Nakai

    The Journal of Chemical Physics    2020.04  [Refereed]

    DOI

  • Large-Scale Molecular Dynamics Simulation for Ground and Excited States Based on Divide-and-Conquer Long-Range Corrected Density-Functional Tight-Binding Method

    Nana Komoto, Takeshi Yoshikawa, Yoshifumi Nishimura, Hiromi Nakai

    Journal of Chemical Theory and Computation    2020.04  [Refereed]

    DOI

  • Density-Functional Tight-Binding Study of Carbonaceous Species Diffusion on the (100)-γ-Al2O3 Surface

    Aditya W. Sakti, Chien-Pin Chou, Hiromi Nakai

    ACS Omega    2020.03  [Refereed]

    DOI

  • Agglomeration Suppression of a Fe-Supported Catalyst and its Utilization for Low-Temperature Ammonia Synthesis in an Electric Field

    Ryuya Sakai, Kota Murakami, Yuta Mizutani, Yuta Tanaka, Sasuga Hayashi, Atsushi Ishikawa, Takuma Higo, Shuhei Ogo, Hideaki Tsuneki, Hiromi Nakai, Yasushi Sekine

    ACS Omega    2020.03  [Refereed]

    DOI

  • Recent advances in quantum‐mechanical molecular dynamics simulations of proton transfer mechanism in various water‐based environments

    Aditya W. Sakti, Yoshifumi Nishimura, Hiromi Nakai

    WIREs Computational Molecular Science    2020.01  [Refereed]

    DOI

  • Large-scale excited-state calculation using dynamical polarizability evaluated by divide-and-conquer based coupled cluster linear response method

    Takeshi Yoshikawa, Jyunya Yoshihara, Hiromi Nakai

    The Journal of Chemical Physics    2020.01  [Refereed]

    DOI

  • Heteroatom doping effects on interaction of H2O and CeO2 (111) surfaces studied using density functional theory: Key roles of ionic radius and dispersion

    Kota Murakami, Shuhei Ogo, Atsushi Ishikawa, Yuna Takeno, Takuma Higo, Hideaki Tsuneki, Hiromi Nakai, Yasushi Sekine

    The Journal of Chemical Physics    2020.01  [Refereed]

    DOI

  • Quantum Chemical Reaction Prediction Method Based on Machine Learning

    Fujinami Mikito, Seino Junji, Nakai Hiromi

    Bulletin of the Chemical Society of Japan   in press  2020  [Refereed]

  • Quantum mechanical molecular dynamics simulations of polaron formation in methylammonium lead iodide perovskite

    Hiroki Uratani, Chien-Pin Chou, Hiromi Nakai

    Physical Chemistry Chemical Physics    2020  [Refereed]

    DOI

  • Cover Image, Volume 10, Issue 1

    Aditya W. Sakti, Yoshifumi Nishimura, Hiromi Nakai

    WIREs Computational Molecular Science   10 ( 1 )  2020.01  [Refereed]

    DOI

  • GPU‐Accelerated Large‐Scale Excited‐State Simulation Based on Divide‐and‐Conquer Time‐Dependent Density‐Functional Tight‐Binding

    Takeshi Yoshikawa, Nana Komoto, Yoshifumi Nishimura, Hiromi Nakai

    Journal of Computational Chemistry    2019.12  [Refereed]

    DOI

  • Restoring the iso-orbital limit of the kinetic energy density in relativistic density functional theory

    Toni M. Maier, Yasuhiro Ikabata, Hiromi Nakai

    The Journal of Chemical Physics    2019.11  [Refereed]

    DOI

  • Semi-local machine-learned kinetic energy density functional demonstrating smooth potential energy curves

    Junji Seino, Ryo Kageyama, Mikito Fujinami, Yasuhiro Ikabata, Hiromi Nakai

    Chemical Physics Letters   734   136732 - 136732  2019.11  [Refereed]

    DOI

  • Sodium‐ and Potassium‐Hydrate Melts Containing Asymmetric Imide Anions for High‐Voltage Aqueous Batteries

    Qifeng Zheng, Shota Miura, Kasumi Miyazaki, Seongjae Ko, Eriko Watanabe, Masaki Okoshi, Chien‐Pin Chou, Yoshifumi Nishimura, Hiromi Nakai, Takeshi Kamiya, Tsunetoshi Honda, Jun Akikusa, Yuki Yamada, Atsuo Yamada

    Angewandte Chemie   131 ( 40 ) 14340 - 14345  2019.10  [Refereed]

    DOI

  • Release of Relativistic Quantum Chemical Calculation Program RAQET

    Yasuhiro Ikabata, Takeshi Yoshikawa, Hiromi Nakai

    Journal of Computer Chemistry, Japan   18 ( 3 ) A6 - A11  2019.10  [Refereed]

     View Summary

    The "Relativistic And Quantum Electronic Theory (RAQET)" program was released for academic use. One-component (spin-free) and two-component (spin-dependent) relativistic calculations are possible based on the infinite-order Douglas−Kroll−Hess transformation and local unitary transformation. This review describes available features, registration/installation, and input/output of the RAQET program.

    DOI

  • Relativistic Effect on Homogeneous Catalytic Reaction by Cationic Iridium Catalysts

    Chinami Takashima, Yasuhiro Ikabata, Hisaki Kurita, Hideaki Takano, Takanori Shibata, Hiromi Nakai

    Journal of Computer Chemistry, Japan   18 ( 3 ) 136 - 138  2019.10  [Refereed]

     View Summary

    A cationic Ir complex was reported to show specific catalytic activity in C-H bond activation reaction of benzanilides. The present study examined reaction energy profiles of the C-H bond activation with Ir and Rh catalysts based on non-relativistic and relativistic quantum chemical calculations. We found that the relativistic effect is essential to demonstrate the difference in the catalytic activity. In particular, the activation of the d orbital of Ir, which is caused by the s- and p- orbital contraction followed by the self-consistent d-orbital expansion, leads to stabilization of the transition state and product of the C-H bond activation.

    DOI

  • Sodium‐ and Potassium‐Hydrate Melts Containing Asymmetric Imide Anions for High‐Voltage Aqueous Batteries

    Qifeng Zheng, Shota Miura, Kasumi Miyazaki, Seongjae Ko, Eriko Watanabe, Masaki Okoshi, Chien‐Pin Chou, Yoshifumi Nishimura, Hiromi Nakai, Takeshi Kamiya, Tsunetoshi Honda, Jun Akikusa, Yuki Yamada, Atsuo Yamada

    Angewandte Chemie International Edition   58 ( 40 ) 14202 - 14207  2019.10  [Refereed]

    DOI

  • Bond Energy Density Analysis Combined with Informatics Technique

    Hiromi Nakai, Junji Seino, Kairi Nakamura

    The Journal of Physical Chemistry A    2019.09  [Refereed]

    DOI

  • Efficient Semi-Numerical Implementation of Relativistic Exact Exchange within the Infinite-Order Two-Component Method Using a Modified Chain-of-Spheres Method

    Toni M. Maier, Yasuhiro Ikabata, Hiromi Nakai

    Journal of Chemical Theory and Computation    2019.09  [Refereed]

    DOI

  • Governing factors of supports of ammonia synthesis in an electric field found using density functional theory

    Kota Murakami, Yuta Tanaka, Sasuga Hayashi, Ryuya Sakai, Yudai Hisai, Yuta Mizutani, Atsushi Ishikawa, Takuma Higo, Shuhei Ogo, Jeong Gil Seo, Hideaki Tsuneki, Hiromi Nakai, Yasushi Sekine

    Journal of Chemical Physics   151 ( 6 )  2019.08  [Refereed]

     View Summary

    © 2019 Author(s). Efficient ammonia synthesis at low temperatures is anticipated for establishing a hydrogen carrier system. We reported earlier that application of an electric field on the Cs/Ru/SrZrO3 catalyst enhanced catalytic ammonia synthesis activity. It is now clear that N2 dissociation is activated by hopping protons in the electric field. Efficient ammonia synthesis proceeds by an "associative mechanism" in which N2 dissociates via an N2H intermediate, even at low temperatures. The governing factor of ammonia synthesis activity in an electric field for active metals differed from that in the conventional mechanism. Also, N2H formation energy played an important role. The effects of dopants (Al, Y, Ba, and Ca) on this mechanism were investigated using activity tests and density functional theory calculations to gain insights into the support role in the electric field. Ba and Ca addition showed positive effects on N2H formation energy, leading to high ammonia synthesis activity. The coexistence of proton-donating and electron-donating abilities is necessary for efficient N2H formation at the Ru-support interface.

    DOI

  • Temperature- and pressure-dependent adsorption configuration of NO molecules on Rh(111) surface: A theoretical study

    Takahiro Hirai, Masaki Okoshi, Atsushi Ishikawa, Hiromi Nakai

    Surface Science   686   58  2019.08  [Refereed]

    DOI

  • 分割統治型密度汎関数強束縛分子動力学(DC-DFTB-MD)法による表面反応シミュレーション:Pt(111)表面上のプロトン拡散

    中井 浩巳, 西村 好史, Aditya Wibawa Sakti, Tanabat Mudchimo, 周 建斌

    表面と真空   62 ( 8 ) 486 - 491  2019.08  [Refereed]

    DOI

  • Machine-learned electron correlation model based on correlation energy density at complete basis set limit

    Takuro Nudejima, Yasuhiro Ikabata, Junji Seino, Takeshi Yoshikawa, Hiromi Nakai

    The Journal of Chemical Physics    2019.07  [Refereed]

    DOI

  • Reversible Sodium Metal Electrodes: Is Fluorine an Essential Interphasial Component?

    Kyosuke Doi, Yuki Yamada, Masaki Okoshi, Junichi Ono, Chien‐Pin Chou, Hiromi Nakai, Atsuo Yamada

    Angewandte Chemie   58 ( 24 ) 8024 - 8028  2019.06  [Refereed]

    DOI

  • D cdftbmd : Divide‐and‐Conquer Density Functional Tight‐Binding Program for Huge‐System Quantum Mechanical Molecular Dynamics Simulations

    Yoshifumi Nishimura, Hiromi Nakai

    Journal of Computational Chemistry   40 ( 15 ) 1538 - 1549  2019.06  [Refereed]

    DOI

  • Finite-temperature-based linear-scaling divide-and-conquer self-consistent field method for static electron correlation systems

    Takeshi Yoshikawa, Toshiki Doi, Hiromi Nakai

    Chemical Physics Letters   725   18 - 23  2019.06  [Refereed]

    DOI

  • Virtual Reaction Condition Optimization based on Machine Learning for a Small Number of Experiments in High-dimensional Continuous and Discrete Variables

    M. Fujinami, J. Seino, T. Nukazawa, S. Ishida, T. Iwamoto, H. Nakai

    Chemistry Letters   48 ( 8 ) 961 - 964  2019.05  [Refereed]

     View Summary

    © 2019 The Chemical Society of Japan. We examined a virtual simulation scheme for reaction condition optimization using machine learning for a small number of experiments with nine reaction conditions, consisting of five continuous and four discrete variables. Simulations were performed for predicting product yields in a synthetic reaction of tetrasilabicyclo[1.1.0]but-1(3)-ene (SiBBE). The performances in terms of accuracy and efficiency in the simulations and the chemical implications of the results were discussed.

    DOI

  • Extension and acceleration of relativistic density functional theory based on transformed density operator

    Yasuhiro Ikabata, Takuro Oyama, Masao Hayami, Junji Seino, Hiromi Nakai

    The Journal of Chemical Physics    2019.04  [Refereed]

    DOI

  • Development of Large-Scale Excited-State Calculations Based on the Divide-and-Conquer Time-Dependent Density Functional Tight-Binding Method

    Nana Komoto, Takeshi Yoshikawa, Junichi Ono, Yoshifumi Nishimura, Hiromi Nakai

    Journal of Chemical Theory and Computation    2019.03  [Refereed]

    DOI

  • First-principle study of the oxidation mechanism of formaldehyde and hypophosphite for copper and nickel electroless deposition process

    Y. Onabuta, M. Kunimoto, H. Nakai, T. Homma

    Electrochim. Acta   307   536 - 542  2019  [Refereed]

  • Development of the divide-and-conquer based single reference theory for static correlation systems with finite temperature scheme

    Toshiki Doi, Takeshi Yoshikawa, Hiromi Nakai

    Journal of Computer Chemistry, Japan   17 ( 5 ) 212 - 214  2018.12  [Refereed]

    DOI

  • Development of Divide-and-Conquer Density-Functional Tight-Binding Method for Theoretical Research on Li-Ion Battery

    Chien-Pin Chou, Aditya Wibawa Sakti, Yoshifumi Nishimura, Hiromi Nakai

    The Chemical Record   19 ( 4 ) 746 - 757  2018.11  [Refereed]

    DOI

  • Theoretical Study on the Intersection Structures between Potential Energy Surfaces

    Mayu Inamori, Yasuhiro Ikabata, Qi Wang, Hiromi Nakai

    Journal of Computer Chemistry, Japan   17 ( 3 ) 124 - 126  2018.10  [Refereed]

     View Summary

    The crossing of potential energy surfaces plays an important role in photo-decay processes and photochemical reactions. The energies and geometries of the crossing points have been reported for various molecules using quantum chemical calculations. In this research, excitation energy components of uracil are investigated to understand the characteristics of the crossing points. We revealed that the HOMO−LUMO exchange integral becomes approximately zero at the minimum energy conical intersection between S0 and S1 states. Furthermore, it was found that the HOMO−LUMO gap is close to the HOMO−LUMO Coulomb integral at the crossing structures.

    DOI

  • RAQET: Large-Scale Two-Component Relativistic Quantum Chemistry Program Package

    Masao Hayami, Junji Seino, Yuya Nakajima, Masahiko Nakano, Yasuhiro Ikabata, Takeshi Yoshikawa, Takuro Oyama, Kenta Hiraga, So Hirata, Hiromi Nakai

    Journal of Computational Chemistry   39 ( 27 ) 2333 - 2344  2018.09  [Refereed]

     View Summary

    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.

    DOI

  • Semi-local machine-learned kinetic energy density functional with third-order gradients of electron density

    Junji Seino, Ryo Kageyama, Mikito Fujinami, Yasuhiro Ikabata, Hiromi Nakai

    Journal of Chemical Physics   148 ( 24 )  2018.06  [Refereed]

     View Summary

    A semi-local kinetic energy density functional (KEDF) was constructed based on machine learning (ML). The present scheme adopts electron densities and their gradients up to third-order as the explanatory variables for ML and the Kohn-Sham (KS) kinetic energy density as the response variable in atoms and molecules. Numerical assessments of the present scheme were performed in atomic and molecular systems, including first- and second-period elements. The results of 37 conventional KEDFs with explicit formulae were also compared with those of the ML KEDF with an implicit formula. The inclusion of the higher order gradients reduces the deviation of the total kinetic energies from the KS calculations in a stepwise manner. Furthermore, our scheme with the third-order gradient resulted in the closest kinetic energies to the KS calculations out of the presented functionals.

    DOI

  • Semi-local machine-learned kinetic energy density functional with third-order gradients of electron density

    Junji Seino, Ryo Kageyama, Mikito Fujinami, Yasuhiro Ikabata, Hiromi Nakai

    The Journal of Chemical Physics   148   241705  2018.06  [Refereed]

     View Summary

    A semi-local kinetic energy density functional (KEDF) was constructed based on machine learning (ML). The present scheme adopts electron densities and their gradients up to third-order as the explanatory variables for ML and the Kohn-Sham (KS) kinetic energy density as the response variable in atoms and molecules. Numerical assessments of the present scheme were performed in atomic and molecular systems, including first- and second-period elements. The results of 37 conventional KEDFs with explicit formulae were also compared with those of the ML KEDF with an implicit formula. The inclusion of the higher order gradients reduces the deviation of the total kinetic energies from the KS calculations in a stepwise manner. Furthermore, our scheme with the third-order gradient resulted in the closest kinetic energies to the KS calculations out of the presented functionals.

    DOI

  • Spectroscopic and Computational Analyses of Liquid–Liquid Interfacial Reaction Mechanism of Boric Acid Esterification with 2,2,4-Trimethyl-1,3-pentanediol in Boron Extraction Processes

    Masahiro Kunimoto, Dieter Bothe, Risa Tamura, Takahiro Oyanagi, Yasuhiro Fukunaka, Hiromi Nakai, Takayuki Homma

    The Journal of Physical Chemistry C    2018.05  [Refereed]

    DOI

  • Quantum chemical approach for condensed-phase thermochemistry (V): Development of rigid-body type harmonic solvation model

    Moto Tarumi, Hiromi Nakai

    Chemical Physics Letters   700   149 - 155  2018.05  [Refereed]

     View Summary

    This letter proposes an approximate treatment of the harmonic solvation model (HSM) assuming the solute to be a rigid body (RB-HSM). The HSM method can appropriately estimate the Gibbs free energy for condensed phases even where an ideal gas model used by standard quantum chemical programs fails. The RB-HSM method eliminates calculations for intra-molecular vibrations in order to reduce the computational costs. Numerical assessments indicated that the RB-HSM method can evaluate entropies and internal energies with the same accuracy as the HSM method but with lower calculation costs.

    DOI

  • Quantum chemical approach for positron annihilation spectra of atoms and molecules beyond plane-wave approximation

    Yasuhiro Ikabata, Risa Aiba, Toru Iwanade, Hiroaki Nishizawa, Feng Wang, Hiromi Nakai

    Journal of Chemical Physics   148 ( 18 )  2018.05  [Refereed]

     View Summary

    We report theoretical calculations of positron-electron annihilation spectra of noble gas atoms and small molecules using the nuclear orbital plus molecular orbital method. Instead of a nuclear wavefunction, the positronic wavefunction is obtained as the solution of the coupled Hartree-Fock or Kohn-Sham equation for a positron and the electrons. The molecular field is included in the positronic Fock operator, which allows an appropriate treatment of the positron-molecule repulsion. The present treatment succeeds in reproducing the Doppler shift, i.e., full width at half maximum (FWHM) of experimentally measured annihilation (γ-ray) spectra for molecules with a mean absolute error less than 10%. The numerical results indicate that the interpretation of the FWHM in terms of a specific molecular orbital is not appropriate.

    DOI

  • Quantum chemical approach for positron annihilation spectra of atoms and molecules beyond plane-wave approximation

    Yasuhiro Ikabata, Risa Aiba, Toru Iwanade, Hiroaki Nishizawa, Feng Wang, Hiromi Nakai

    The Journal of Chemical Physics   148   184110  2018.05  [Refereed]

     View Summary

    We report theoretical calculations of positron-electron annihilation spectra of noble gas atoms and small molecules using the nuclear orbital plus molecular orbital method. Instead of a nuclear wavefunction, the positronic wavefunction is obtained as the solution of the coupled Hartree-Fock or Kohn-Sham equation for a positron and the electrons. The molecular field is included in the positronic Fock operator, which allows an appropriate treatment of the positron-molecule repulsion. The present treatment succeeds in reproducing the Doppler shift, i.e., full width at half maximum (FWHM) of experimentally measured annihilation (γ-ray) spectra for molecules with a mean absolute error less than 10%. The numerical results indicate that the interpretation of the FWHM in terms of a specific molecular orbital is not appropriate.

    DOI

  • Gauge-origin independent formalism of two-component relativistic framework based on unitary transformation in nuclear magnetic shielding constant

    Masao Hayami, Junji Seino, Hiromi Nakai

    Journal of Chemical Physics   148 ( 11 )  2018.03  [Refereed]

     View Summary

    This article proposes a gauge-origin independent formalism of the nuclear magnetic shielding constant in the two-component relativistic framework based on the unitary transformation. The proposed scheme introduces the gauge factor and the unitary transformation into the atomic orbitals. The two-component relativistic equation is formulated by block-diagonalizing the Dirac Hamiltonian together with gauge factors. This formulation is available for arbitrary relativistic unitary transformations. Then, the infinite-order Douglas-Kroll-Hess (IODKH) transformation is applied to the present formulation. Next, the analytical derivatives of the IODKH Hamiltonian for the evaluation of the nuclear magnetic shielding constant are derived. Results obtained from the numerical assessments demonstrate that the present formulation removes the gauge-origin dependence completely. Furthermore, the formulation with the IODKH transformation gives results that are close to those in four-component and other two-component relativistic schemes.

    DOI

  • Development of the Divide-and-Conquer Time-Dependent Density Functional Tight-Binding Method for Photoreceptor Protein

    Nana Komoto, Takeshi Yoshikawa, Junichi Ono, Hiromi Nakai

    JOURNAL OF COMPUTER CHEMISTRY-JAPAN   17 ( 3 ) 127 - 129  2018

     View Summary

    The divide-and-conquer (DC) method was extended to time-dependent density functional tight-binding (TDDFTB) theory to enable excited-state calculations of large systems, as denoted by DC-TDDFTB. In this article, the implementation of TDDFTB and DC-TDDFTB methods into our in-house program, DC-DFTB-K, is explained. Dependence of CPU time on system-size for the DC-TDDFTB calculations indicates significant reduction of computational cost by adopting the DC method. Owing to the feature, excited-state calculations for whole photoactive yellow protein (PYP) surrounded by 4684 water molecules could be carried out in order to examine the hydrogen bond between p-coumaric acid and Glu46 in PYP.

    DOI

  • Release of DCDFTBMD Program

    Yoshifumi Nishimura, Takeshi Yoshikawa, Hiromi Nakai

    Journal of Computer Chemistry, Japan   17 ( 5 ) A21 - A27  2018  [Refereed]

  • Simulations of the synthesis of boron-nitride nanostructures in a hot, high pressure gas volume

    Predrag S. Krstic, Longtao Han, Stephan Irle, Hiromi Nakai

    Chemical Science   9 ( 15 ) 3803 - 3819  2018  [Refereed]

    DOI

  • Theoretical Analysis of Carrier Ion Diffusion in Superconcentrated Electrolyte Solutions for Sodium-Ion Batteries

    Masaki Okoshi, Chien-Pin Chou, Hiromi Nakai

    The Journal of Physical Chemistry B    2018  [Refereed]

    DOI

  • Fractional-occupation-number based divide-and-conquer coupled-cluster theory

    Takeshi Yoshikawa, Hiromi Nakai

    Chemical Physics Letters   712   184 - 189  2018  [Refereed]

    DOI

  • Theoretical investigation on structural effects of Pt–Mn catalyst on activity and selectivity for methylcyclohexane dehydrogenation

    Shota Manabe, Tomohiro Yabe, Atsushi Nakano, Satoshi Nagatake, Takuma Higo, Shuhei Ogo, Hiromi Nakai, Yasushi Sekine

    Chemical Physics Letters   711   73 - 76  2018  [Refereed]

    DOI

  • Erratum: “Semi-local machine-learned kinetic energy density functional with third-order gradients of electron density” [J. Chem. Phys. 148, 241705 (2018)]

    Junji Seino, Ryo Kageyama, Mikito Fujinami, Yasuhiro Ikabata, Hiromi Nakai

    The Journal of Chemical Physics   149 ( 7 ) 079901 - 079901  2018  [Refereed]

    DOI

  • Derivative of electron repulsion integral using accompanying coordinate expansion and transferred recurrence relation method for long contraction and high angular momentum

    Masao Hayami, Junji Seino, Hiromi Nakai

    International Journal of Quantum Chemistry   118 ( 16 )  2018  [Refereed]

    DOI

  • Unveiling Controlling Factors of the S0/S1 Minimum Energy Conical Intersection: A Theoretical Study

    Hiromi Nakai, Mayu Inamori, Yasuhiro Ikabata, Qi Wang

    The Journal of Physical Chemistry A    2018  [Refereed]

    DOI

  • Catalytic performance of Ru, Os, and Rh nanoparticles for ammonia synthesis: A density functional theory analysis

    Atsushi Ishikawa, Toshiki Doi, Hiromi Nakai

    Journal of Catalysis   357   213 - 222  2018.01

     View Summary

    NH3 synthesis on Ru, Os, and Rh nanoparticle catalysts was investigated using density functional theory calculations. The Ru and Os nanoparticles exhibited similar shapes, while that of Rh differed significantly. For all metal species, step sites appeared at nanoparticle diameters (d) &gt
    2–4 nm. The calculated activation barriers (Ea) were small at step sites, and Ru and Os step sites exhibited similar Ea values despite the former having a higher turnover frequency. This is likely due to the surface coverage of vacant sites being higher on Ru. Although the increase in NH3 synthesis rate at d = 2–4 nm was common to Ru, Os, and Rh, the reaction rates decreased in the order: Ru &gt
    Os &gt
    Rh. Our results show that Ea values, surface vacant sites, and the number of step sites are important factors for NH3 synthesis. The Ru nanoparticles exhibited high activity due to satisfying all three factors.

    DOI

  • Electron-Hopping Brings Lattice Strain and High Catalytic Activity in the Low-Temperature Oxidative Coupling of Methane in an Electric Field

    Shuhei Ogo, Hideaki Nakatsubo, Kousei Iwasaki, Ayaka Sato, Kota Murakami, Tomohiro Yabe, Atsushi Ishikawa, Hiromi Nakai, Yasushi Sekine

    The Journal of Physical Chemistry C   122 ( 4 ) 2089 - 2096  2018  [Refereed]

     View Summary

    © 2018 American Chemical Society. Detailed reaction mechanisms for the oxidative coupling of methane (OCM) over Ce 2 (WO 4 ) 3 catalysts at low temperatures in an electric field were investigated. The influence of Ce cations in the Ce 2 (WO 4 ) 3 catalyst was evaluated by comparing the OCM activity over various Ln 2 (WO 4 ) 3 (Ln = La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, and Dy) catalysts in an electric field. The electronic states of Ln and W cations and the relationship between the distorted Ce 2 (WO 4 ) 3 structure and methane activation were examined using X-ray absorption fine structure (XAFS) measurements and first-principles calculations. The results reveal that the Ln 2 (WO 4 ) 3 catalysts with redox-active Ln cations (Ce, Pr, Sm, Eu, and Tb) show OCM activity. First-principles calculations indicate that Ce 3+ species in the Ce 2 (WO 4 ) 3 structure are oxidized to Ce 4+ species in an electric field by extracting electrons from the Ce 4f orbitals near the Fermi level; as a result, its structure is distorted. The results indicate that the redox reaction of Ln cations in Ln 2 (WO 4 ) 3 induced by an electric field brings lattice strain and a high OCM activity in an electric field.

    DOI

  • ジブチルヒドロキシトルエンにおける遠赤外吸収 ~測定と量子化学計算によるスペクトル同定~

    遠藤滉士, 香西拓哉, 吉川武司, 中井浩巳, 大木義路

    電気学会誘電・絶縁材料研究会資料   DEI ( 17 ) 23 - 28  2017.12  [Refereed]

  • Errata: Divide-and-Conquer Density-Functional Tight-Binding Molecular Dynamics Study on the Formation of Carbamate Ions during CO2 Chemical Absorption in Aqueous Amine Solution

    Aditya Wibawa Sakti, Yoshifumi Nishimura, Hiroshi Sato, Hiromi Nakai

    Bulletin of the Chemical Society of Japan   91 ( 2 ) 318 - 318  2017.11  [Refereed]

    DOI

  • Divide-and-Conquer Density-Functional Tight-Binding Molecular Dynamics Study on the Formation of Carbamate Ions during CO2 Chemical Absorption in Aqueous Amine Solution

    Aditya Wibawa Sakti, Yoshifumi Nishimura, Hiroshi Sato, Hiromi Nakai

    BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN   90 ( 11 ) 1230 - 1235  2017.11  [Refereed]

     View Summary

    Divide-and-conquer-type density-functional tight-binding molecular dynamics simulations of the CO2 absorption process in monoethanolamine (MEA) solution have been performed for systems containing thousands of atoms. The formation of carbamate anions has been widely investigated for neutral systems via ab initio molecular dynamics simulations, yet the present study is aimed at identifying the role of hydroxide ions in acid-base equilibrium. The structural and electronic analyses reveal that the hydroxide ion approaches, via Grotthuss-type shuttling, the zwitterionic intermediates and abstracts a proton from the nitrogen atom of MEA. We also estimated the fraction of reacted CO2 and carbamate formed at different initial CO2 concentrations that confirm a high absorbed CO2 concentration decreases the fraction of MEA(C) formed due to the abundance of MEA(Z) in the solution.

    DOI

  • Near-infrared absorption of π-stacking columns composed of trioxotriangulene neutral radicals

    Yasuhiro Ikabata, Qi Wang, Takeshi Yoshikawa, Akira Ueda, Tsuyoshi Murata, Kazuki Kariyazono, Miki Moriguchi, Hiroshi Okamoto, Yasushi Morita, Hiromi Nakai

    npj Quantum Materials   2 ( 1 ) 27 - 27  2017

    DOI

  • Electrocatalytic synthesis of ammonia by surface proton hopping

    R. Manabe, H. Nakatsubo, A. Gondo, K. Murakami, S. Ogo, H. Tsuneki, M. Ikeda, A. Ishikawa, H. Nakai, Y. Sekine

    Chemical Science   8 ( 8 ) 5434 - 5439  2017  [Refereed]

     View Summary

    © 2017 The Royal Society of Chemistry. Highly efficient ammonia synthesis at a low temperature is desirable for future energy and material sources. We accomplished efficient electrocatalytic low-temperature ammonia synthesis with the highest yield ever reported. The maximum ammonia synthesis rate was 30099 μmol gcat-1 h-1 over a 9.9 wt% Cs/5.0 wt% Ru/SrZrO3 catalyst, which is a very high rate. Proton hopping on the surface of the heterogeneous catalyst played an important role in the reaction, revealed by in situ IR measurements. Hopping protons activate N2 even at low temperatures, and they moderate the harsh reaction condition requirements. Application of an electric field to the catalyst resulted in a drastic decrease in the apparent activation energy from 121 kJ mol-1 to 37 kJ mol-1. N2 dissociative adsorption is markedly promoted by the application of the electric field, as evidenced by DFT calculations. The process described herein opens the door for small-scale, on-demand ammonia synthesis.

    DOI

  • Theoretical Analysis of Interactions between Potassium Ions and Organic Electrolyte Solvents: A Comparison with Lithium, Sodium, and Magnesium Ions

    Okoshi, Masaki, Yamada, Yuki, Komaba, Shinichi, Yamada, Atsuo, Nakai, Hiromi

    Journal of the Electrochemical Society   164 ( 2 )  2017  [Refereed]

    DOI

  • Systematic Investigation of the Thermodynamic Properties of Amine Solvents for CO2 Chemical Absorption Using the Cluster-Continuum Model

    Teranishi, Kei, Ishikawa, Atsushi, Sato, Hiroshi, Nakai, Hiromi

    Bulletin of the Chemical Society of Japan   90 ( 4 )  2017  [Refereed]

    DOI

  • Harmonic Solvation Model (HSM) for Evaluation of Condensed-Phase Free Energy

    NAKAI Hiromi

    Journal of Computer Chemistry, Japan   16 ( 4 ) 83 - 88  2017

     View Summary

    <p>We have proposed a novel quantum chemical model to evaluate condensed-phase thermodynamic properties, that is, the harmonic solvation model (HSM). This paper explains the theoretical background of HSM and the practical procedure to use for the HSM with some sample inputs. Illustrative applications demonstrate the usefulness and accuracy of HSM.</p>

    CiNii

  • Decomposition of Effective Exchange Integrals of Radical Dimers Using Bond Energy Density Analysis

    Ikabata, Yasuhiro, Nakai, Hiromi

    Chemistry Letters   46 ( 6 ) 879 - 882  2017  [Refereed]

     View Summary

    &lt;p&gt;In this letter, effective exchange integrals of radical dimers obtained by density functional calculations are decomposed into atomic-pair components. The bond energy density analysis, which was originally proposed to evaluate the energy of a chemical bond, was found to be a useful tool to analyze the magnetic interaction of radical dimers.&lt;/p&gt;

    DOI CiNii

  • Divide-and-Conquer-Type Density-Functional Tight-Binding Simulations of Hydroxide Ion Diffusion in Bulk Water

    Sakti, Aditya Wibawa, Nishimura, Yoshifumi, Nakai, Hiromi

    Journal of Physical Chemistry B   121 ( 6 ) 1362 - 1371  2017  [Refereed]

     View Summary

    © 2017 American Chemical Society. The diffusion of the hydroxide ion in bulk water was examined by linear-scaling divide-and-conquer density-functional tight-binding molecular dynamics (DC-DFTB-MD) simulations using three different-sized unit cells that contained 522, 1050, and 4999 water molecules as well as one hydroxide ion. The repulsive potential for the oxygen-oxygen pair was improved by iterative Boltzmann inversion, which adjusted the radial distribution function of DFTB-MD simulations to that of the reference density functional theory-MD one. The calculated diffusion coefficients and the Arrhenius diffusion barrier were in good agreement with experimental results. The results of the hydroxide ion coordination number distribution and potential of mean force analyses supported a dynamical hypercoordination diffusion mechanism. (Graph Presented).

    DOI

  • Relativistic density functional theory with picture-change corrected electron density based on infinite-order Douglas-Kroll-Hess method

    Oyama, Takuro, Ikabata, Yasuhiro, Seino, Junji, Nakai, Hiromi

    Chemical Physics Letters   680   37 - 43  2017  [Refereed]

     View Summary

    © 2017 Elsevier B.V. This Letter proposes a density functional treatment based on the two-component relativistic scheme at the infinite-order Douglas-Kroll-Hess (IODKH) level. The exchange-correlation energy and potential are calculated using the electron density based on the picture-change corrected density operator transformed by the IODKH method. Numerical assessments indicated that the picture-change uncorrected density functional terms generate significant errors, on the order of hartree for heavy atoms. The present scheme was found to reproduce the energetics in the four-component treatment with high accuracy.

    DOI

  • Universal formulation of second-order generalized Moller-Plesset perturbation theory for a spin-dependent two-component relativistic many-electron Hamiltonian

    Nakano, Masahiko, Seino, Junji, Nakai, Hiromi

    Chemical Physics Letters   675   137 - 144  2017  [Refereed]

     View Summary

    © 2017 Elsevier B.V.We have derived and implemented a universal formulation of the second-order generalized Møller–Plesset perturbation theory (GMP2) for spin-dependent (SD) two-component relativistic many-electron Hamiltonians, such as the infinite-order Douglas–Kroll–Hess Hamiltonian for many-electron systems, which is denoted as IODKH/IODKH. Numerical assessments for He- and Ne-like atoms and 16 diatomic molecules show that the MP2 correlation energies with IODKH/IODKH agree well with those calculated with the four-component Dirac–Coulomb (DC) Hamiltonian, indicating a systematic improvement on the inclusion of relativistic two-electron terms. The present MP2 scheme for IODKH/IODKH is demonstrated to be computationally more efficient than that for DC.

    DOI

  • Efficient Pole-Search Algorithm for Dynamic Polarizability: Toward Alternative Excited-State Calculation for Large Systems

    Nakai, Hiromi, Yoshikawa, Takeshi, Nonaka, Yutaro

    Journal of Computational Chemistry   38 ( 1 ) 7 - 14  2017  [Refereed]

     View Summary

    © 2016 Wiley Periodicals, Inc.This study presents an efficient algorithm to search for the poles of dynamic polarizability to obtain excited states of large systems with nonlocal excitation nature. The present algorithm adopts a homogeneous search with a constant frequency interval and a bisection search to achieve high accuracy. Furthermore, the subtraction process of the information about the detected poles from the total dynamic polarizability is used to extract the undetected pole contributions. Numerical assessments confirmed the accuracy and efficiency of the present algorithm in obtaining the excitation energies and oscillator strengths of all dipole-allowed excited states. A combination of the present pole-search algorithm and divide-and-conquer-based dynamic polarizability calculations was found to be promising to treat nonlocal excitations of large systems. © 2016 Wiley Periodicals, Inc.

    DOI

  • Unveiling a New Aspect of Simple Arylboronic Esters: Long-Lived Room-Temperature Phosphorescence from Heavy-Atom-Free Molecules

    Shoji, Yoshiaki, Ikabata, Yasuhiro, Wang, Qi, Nemoto, Daisuke, Sakamoto, Atsushi, Tanaka, Naoki, Seino, Junji, Nakai, Hiromi, Fukushima, Takanori

    Journal of the American Chemical Society   139 ( 7 ) 2728 - 2733  2017  [Refereed]

     View Summary

    © 2017 American Chemical Society. Arylboronic esters can be used as versatile reagents in organic synthesis, as represented by Suzuki-Miyaura cross-coupling. Here we report a serendipitous finding that simple arylboronic esters are phosphorescent in the solid state at room temperature with a lifetime on the order of several seconds. The phosphorescence properties of arylboronic esters are remarkable in light of the general notion that phosphorescent organic molecules require heavy atoms and/or carbonyl groups for the efficient generation of a triplet excited state. Theoretical calculations on phenylboronic acid pinacol ester indicated that this molecule undergoes an out-of-plane distortion at the (pinacol)B-Cipsomoiety in the T1excited state, which is responsible for its phosphorescence. A compound survey with 19 arylboron compounds suggested that the phosphorescence properties might be determined by solid-state molecular packing rather than by the patterns and numbers of boron substituents on the aryl units. The present finding may update the general notion of phosphorescent organic molecules.

    DOI

  • Development of an excited-state calculation method for large systems using dynamical polarizability: A divide-and-conquer approach at the time-dependent density functional level

    Nakai, Hiromi, Yoshikawa, Takeshi

    Journal of Chemical Physics   146 ( 12 ) 124123 - 124123  2017  [Refereed]

     View Summary

    © 2017 Author(s). In this study, we developed an excited-state calculation method for large systems using dynamical polarizabilities at the time-dependent density functional theory level. Three equivalent theories, namely, coupled-perturbed self-consistent field (CPSCF), random phase approximation (RPA), and Green function (GF), were extended to linear-scaling methods using the divide-and-conquer (DC) technique. The implementations of the standard and DC-based CPSCF, RPA, and GF methods are described. Numerical applications of these methods to polyene chains, single-wall carbon nanotubes, and water clusters confirmed the accuracy and efficiency of the DC-based methods, especially DC-GF.

    DOI

  • Relativistic effect on enthalpy of formation for transition-metal complexes

    Nakajima, Yuya, Seino, Junji, Nakai, Hiromi

    Chemical Physics Letters   673   24 - 29  2017  [Refereed]

     View Summary

    © 2017 Elsevier B.V.This Letter examines the enthalpy of formation for 12 transition metal diatomic molecules and 23 transition metal complexes from the viewpoint of effect of the relativistic effect by using the infinite-order Douglas–Kroll–Hess method with the local unitary transformation and three types of pseudopotentials for several levels of theory. The spin-orbit effect contribution to the enthalpy of formation is more than 10 kcal/mol for third transition metal complexes. Frozen orbital approximation at the outermost orbitals in pseudopotential methods shows a contribution to the enthalpy of formation that is more than two times larger than those of inner core orbitals.

    DOI

  • Development of spin-dependent relativistic open-shell Hartree-Fock theory with time-reversal symmetry (II): The restricted open-shell approach

    Nakano, Masahiko, Nakamura, Ryota, Seino, Junji, Nakai, Hiromi

    International Journal of Quantum Chemistry   117 ( 10 )  2017  [Refereed]

     View Summary

    © 2017 Wiley Periodicals, Inc. An open-shell Hartree–Fock (HF) theory for spin-dependent two-component relativistic calculations, termed the Kramers-restricted open-shell HF (KROHF) method, is developed. The present KROHF method is defined as a relativistic analogue of ROHF using time-reversal symmetry and quaternion algebra, based on the Kramers-unrestricted HF (KUHF) theory reported in our previous study (Int. J. Quantum Chem., doi:10.1002/qua.25356). As seen in the nonrelativistic ROHF theory, the ambiguity of the KROHF Fock operator gives physically meaningless spinor energies. To avoid this problem, the canonical parametrization of KROHF to satisfy Koopmans&#039; theorem is also discussed based on the procedure proposed by Plakhutin et al. (J. Chem. Phys. 2006, 125, 204110). Numerical assessments confirmed that KROHF using Plakhutin&#039;s canonicalization procedure correctly gives physical spinor energies within the frozen-orbital approximation under spin–orbit interactions.

    DOI

  • Development of spin-dependent relativistic open-shell Hartree-Fock theory with time-reversal symmetry (I): The unrestricted approach

    Nakano, Masahiko, Seino, Junji, Nakai, Hiromi

    International Journal of Quantum Chemistry   117 ( 10 )  2017  [Refereed]

     View Summary

    © 2017 Wiley Periodicals, Inc. An open-shell Hartree–Fock (HF) theory for spin-dependent, two-component relativistic calculations, termed the Kramers-unrestricted HF (KUHF) method, is developed. The present KUHF method, which is formulated as a relativistic counterpart of nonrelativistic UHF, is based on quaternion algebra and partly uses time-reversal symmetry. The fundamental characteristics of KUHF are discussed in this study. From numerical assessments, it was revealed that KUHF gives a corresponding solution to nonrelativistic UHF; furthermore, KUHF properly describes spin-orbit interactions. In addition, KUHF can improve the self-consistent field convergence behavior in spin-dependent calculations, for example, for f-block elements.

    DOI

  • Density Functional Theory Analysis of Elementary Reactions in NOx Reduction on Rh Surfaces and Rh Clusters

    Fumiko Deushi, Atsushi Ishikawa, Hiromi Nakai

    The Journal of Physical Chemistry C   121 ( 28 ) 15272 - 15281  2017  [Refereed]

     View Summary

    © 2017 American Chemical Society. The reduction of NO x is crucial for reducing air pollution from vehicle exhaust. In the presence of Rh-based catalysts, the dissociation of NO and the formation of N 2 O and N 2 constitute the important elementary steps of NO x reduction. The present study used density functional theory (DFT) to investigate the catalytic performances of the Rh(111) surface and Rh 55 and Rh 147 clusters toward these elementary reactions. The NO dissociation reaction was found to have minimum activation barriers (E a ) of 0.63, 0.68, and 1.25 eV on Rh 55 , Rh 147 , and Rh(111), respectively. Therefore, it is the fastest on small Rh clusters. In contrast, the N 2 formation reaction is relatively inefficient on small clusters, with corresponding E a values of 2.14, 1.79, and 1.71 eV. Because of the stronger binding of N atoms to the Rh clusters than to the Rh surface, N 2 formation through the recombination of N atoms has a higher E a value on Rh clusters. The calculated reaction rate constants confirmed that small Rh clusters are less reactive for N 2 formation than Rh(111), especially at low temperatures. Our results also suggest that N 2 O formation is largely end

    DOI

  • Computerized implementation of higher-order electron-correlation methods and their linear-scaling divide-and-conquer extensions

    Masahiko Nakano, Takeshi Yoshikawa, So Hirata, Junji Seino, Hiromi Nakai

    Journal of Computational Chemistry   38 ( 29 ) 2520 - 2527  2017  [Refereed]

     View Summary

    © 2017 Wiley Periodicals, Inc. We have implemented a linear-scaling divide-and-conquer (DC)-based higher-order coupled-cluster (CC) and Møller–Plesset perturbation theories (MPPT) as well as their combinations automatically by means of the tensor contraction engine, which is a computerized symbolic algebra system. The DC-based energy expressions of the standard CC and MPPT methods and the CC methods augmented with a perturbation correction were proposed for up to high excitation orders [e.g., CCSDTQ, MP4, and CCSD(2) TQ ]. The numerical assessment for hydrogen halide chains, polyene chains, and first coordination sphere (C1) model of photoactive yellow protein has revealed that the DC-based correlation methods provide reliable correlation energies with significantly less computational cost than that of the conventional implementations. © 2017 Wiley Periodicals, Inc.

    DOI

  • Rigorous pKa Estimation of Amine Species Using Density-Functional Tight-Binding-Based Metadynamics Simulations

    Aditya Wibawa Sakti, Yoshifumi Nishimura, Hiromi Nakai

    Journal of Chemical Theory and Computation   14 ( 1 ) 351 - 356  2017  [Refereed]

     View Summary

    © 2017 American Chemical Society. Predicting pK a values for different types of amine species with high accuracy and efficiency is of critical importance for the design of high performance and economical solvents in carbon capture and storage with aqueous amine solutions. In this study, we demonstrate that density-functional tight-binding-based metadynamics simulations are a promising approach to calculate the free energy difference between the protonated and neutral states of amines in aqueous solution with inexpensive computational cost. The calculated pK a values were in satisfactory agreement with the experimental values, the mean absolute deviation being only 0.09 pK a units for 34 amines commonly used in CO 2 scrubbing. Such superior reproducibility and correlation compared to estimations by static quantum mechanical calculations highlight the significant effect of dynamical proton transfer processes in explicit solvent molecules for the improvement of the estimation accuracy.

    DOI

  • Density-Functional Tight-Binding Molecular Dynamics Simulations of Excess Proton Diffusion in Ice Ih, Ice Ic, Ice III, and Melted Ice VI Phases

    Aditya Wibawa Sakti, Yoshifumi Nishimura, Chien-Pin Chou, Hiromi Nakai

    The Journal of Physical Chemistry A   122 ( 1 ) 33 - 40  2017  [Refereed]

     View Summary

    © 2017 American Chemical Society. The structural, dynamical, and energetic properties of the excess proton in ice were studied using density-functional tight-binding molecular dynamics simulations. The ice systems investigated herein consisted of low-density hexagonal and cubic crystalline variants (ice I h and I c ) and high-density structures (ice III and melted ice VI). Analysis of the temperature dependence of radial distribution function and bond order parameters served to characterize the distribution and configuration of hundreds of water molecules in a unit cell. We confirmed that ice I h and I c possess higher hexagonal symmetries than ice III and melted ice VI. The estimated Grotthuss shuttling diffusion coefficients in ice were larger than that of liquid water, indicating a slower proton diffusion process in high-density structures than in low-density systems. The energy barriers calculated on the basis of the Arrhenius plot of diffusion coefficients were in reasonable agreement with experimental measurement for ice I h . Furthermore, the energy barriers for high-density structures were several times larger than those of low-density systems. The simulation results were

    DOI

  • Parallel implementation of efficient charge-charge interaction evaluation scheme in periodic divide-and-conquer density-functional tight-binding calculations

    Yoshifumi Nishimura, Hiromi Nakai

    Journal of Computational Chemistry   39 ( 2 ) 105 - 116  2017  [Refereed]

     View Summary

    © 2017 Wiley Periodicals, Inc. A low-computational-cost algorithm and its parallel implementation for periodic divide-and-conquer density-functional tight-binding (DC-DFTB) calculations are presented. The developed algorithm enables rapid computation of the interaction between atomic partial charges, which is the bottleneck for applications to large systems, by means of multipole- and interpolation-based approaches for long- and short-range contributions. The numerical errors of energy and forces with respect to the conventional Ewald-based technique can be under the control of the multipole expansion order, level of unit cell replication, and interpolation grid size. The parallel performance of four different evaluation schemes combining previous approaches and the proposed one are assessed using test calculations of a cubic water box on the K computer. The largest benchmark system consisted of 3,295,500 atoms. DC-DFTB energy and forces for this system were obtained in only a few minutes when the proposed algorithm was activated and parallelized over 16,000 nodes in the K computer. The high performance using a single node workstation was also confirmed. In addition to liquid wate

    DOI

  • Nuclear Orbital Energy in Nuclear Orbital Plus Molecular Orbital Method and Proton Binding Energy Calculation

    Yasuhiro Ikabata, Hiromi Nakai

    Journal of Computer Chemistry, Japan   15 ( 5 ) 148 - 154  2016.12  [Refereed]

     View Summary

    The nuclear orbital plus molecular orbital (NOMO) method is a quantum chemical theory introducing the concept of orbital into nuclei. The nuclear orbital energy, obtained as a solution of the Hartree-Fock equation for the NOMO method, has not been noticed in comparison with total energy and nuclear orbital itself. In this paper, physical meaning and application of nuclear orbital energy for the NOMO method are discussed. In particular, proton binding energy calculations, based on the recently developed proton propagator method, are mentioned, including examples of calculations.

    DOI

  • The divide-and-conquer second-order proton propagator method based on nuclear orbital plus molecular orbital theory for the efficient computation of proton binding energies.

    Yusuke Tsukamoto, Yasuhiro Ikabata, Jonathan Romero, Andrés Reyes, Hiromi Nakai

    Physical Chemistry Chemical Physics   18 ( 39 ) 27422 - 27431  2016.10  [Refereed]

     View Summary

    An efficient computational method to evaluate the binding energies of many protons in large systems was developed. Proton binding energy is calculated as a corrected nuclear orbital energy using the second-order proton propagator method, which is based on nuclear orbital plus molecular orbital theory. In the present scheme, the divide-and-conquer technique was applied to utilize local molecular orbitals. This use relies on the locality of electronic relaxation after deprotonation and the electron-nucleus correlation. Numerical assessment showed reduction in computational cost without the loss of accuracy. An initial application to model a protein resulted in reasonable binding energies that were in accordance with the electrostatic environment and solvent effects.

    DOI

  • Relativistic frozen core potential scheme with relaxation of core electrons

    Yuya Nakajima, Junji Seino, Masao Hayami, Hiromi Nakai

    CHEMICAL PHYSICS LETTERS   663   97 - 103  2016.10  [Refereed]

     View Summary

    This letter proposes a relaxation scheme for core electrons based on the frozen core potential method at the infinite-order Douglas-Kroll-Hess level, called FCP-CR. The core electrons are self-consistently relaxed using frozen molecular valence potentials after the valence SCF calculation is performed. The efficiency of FCP-CR is confirmed by calculations of gold clusters. Furthermore, FCP-CR reproduces the results of the all-electron method for the energies of coinage metal dimers and the core ionization energies and core level shifts of vinyl acetate and three tungsten complexes at the Hartree Fock and/or symmetry-adapted cluster configuration interaction levels. (C) 2016 Elsevier B.V. All rights reserved.

    DOI

  • The divide-and-conquer second-order proton propagator method based on nuclear orbital plus molecular orbital theory for the efficient computation of proton binding energies

    Yusuke Tsukamoto, Yasuhiro Ikabata, Jonathan Romero, Andres Reyes, Hiromi Nakai

    PHYSICAL CHEMISTRY CHEMICAL PHYSICS   18 ( 39 ) 27422 - 27431  2016.10  [Refereed]

     View Summary

    An efficient computational method to evaluate the binding energies of many protons in large systems was developed. Proton binding energy is calculated as a corrected nuclear orbital energy using the second-order proton propagator method, which is based on nuclear orbital plus molecular orbital theory. In the present scheme, the divide-and-conquer technique was applied to utilize local molecular orbitals. This use relies on the locality of electronic relaxation after deprotonation and the electron-nucleus correlation. Numerical assessment showed reduction in computational cost without the loss of accuracy. An initial application to model a protein resulted in reasonable binding energies that were in accordance with the electrostatic environment and solvent effects.

    DOI

  • Informatics-Based Energy Fitting Scheme for Correlation Energy at Complete Basis Set Limit

    Junji Seino, Hiromi Nakai

    Journal of Computational Chemistry     2304 - 2315  2016.09

     View Summary

    Energy fitting schemes based on informatics techniques using hierarchical basis sets with small cardinal numbers were numerically investigated to estimate correlation energies at the complete basis set limits. Numerical validations confirmed that the conventional two-point extrapolation models can be unified into a simple formula with optimal parameters obtained by the same test sets. The extrapolation model was extended to two-point fitting models by a relaxation of the relationship between the extrapolation coefficients or a change of the fitting formula. Furthermore, n-scheme fitting models were developed by the combinations of results calculated at several theory levels and basis sets to compensate for the deficiencies in the fitting model at one level of theory. Systematic assessments on the Gaussian-3X and Gaussian-2 sets revealed that the fitting models drastically reduced errors with equal or smaller computational effort. © 2016 Wiley Periodicals, Inc.

    DOI PubMed

  • Quantum Chemistry beyond Born-Oppenheimer Approximation on a Quantum Computer: A Simulated Phase Estimation Study

    Libor Veis, Jakub Visnak, Hiroaki Nishizawa, Hiromi Nakai, Jiri Pittner

    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY   116 ( 18 ) 1328 - 1336  2016.09  [Refereed]

     View Summary

    We present an efficient quantum algorithm for beyond-Born-Oppenheimer molecular energy computations. Our approach combines the quantum full configuration interaction method with the nuclear orbital plus molecular orbital method. We give the details of the algorithm and demonstrate its performance by classical simulations. Two isotopomers of the hydrogen molecule (H-2, HT) were chosen as representative examples and calculations of the lowest rotationless vibrational transition energies were simulated. (C) 2016 Wiley Periodicals, Inc.

    DOI

  • Contrasting mechanisms for CO2 absorption and regeneration processes in aqueous amine solutions: Insights from density-functional tight-binding molecular dynamics simulations

    Hiromi Nakai, Yoshifumi Nishimura, Takeaki Kaiho, Takahito Kubota, Hiroshi Sato

    Chemical Physics Letters   647   127 - 131  2016.03  [Refereed]

     View Summary

    © 2016 Elsevier B.V. All rights reserved.CO2 chemical absorption and regeneration processes in aqueous amine solutions were investigated using density-functional tight-binding molecular dynamics simulations. Extensive analyses of the structural, electronic, and dynamical properties of 100 independent trajectories supported the contrasting mechanisms in the absorption and regeneration processes. In the CO2 absorption process, bicarbonate formed where the hydroxyl anion migrated through the hydrogen-bond network of water molecules, namely, by a Grotthuss-type mechanism. On the other hand, direct proton transfer from the protonated amine to the hydroxyl group of bicarbonate, which is called the ion-pair mechanism, was the key step to the release of CO2.

    DOI

  • Initial Framework for Software Quality Evaluation based on ISO/IEC 25022 and ISO/IEC 25023

    Nakai, Hidenori, Tsuda, Naohiko, Honda, Kiyoshi, Washizaki, Hironori, Fukazawa, Yoshiaki, IEEE

    2016 Ieee International Conference on Software Quality, Reliability and Security Companion (Qrs-C 2016)    2016  [Refereed]

    DOI

  • A SQuaRE-based Software Quality Evaluation Framework and its Case Study

    Nakai, Hidenori, Tsuda, Naohiko, Honda, Kiyoshi, Washizaki, Hironori, Fukazawa, Yoshiaki, IEEE

    Proceedings of the 2016 Ieee Region 10 Conference (Tencon)    2016  [Refereed]

  • Implementation of Efficient Two-component Relativistic Method Using Local Unitary Transformation to GAMESS Program

    NAKAJIMA Yuya, SEINO Junji, SCHMIDT Michael W, NAKAI Hiromi

    Journal of Computer Chemistry, Japan   15 ( 3 ) 68 - 70  2016

     View Summary

    <p>This Letter provides an implementation of an efficient and accurate relativistic method based on the infinite-order two-component scheme with the local unitary transformation (LUT-IOTC) to the GAMESS program. The sample input and major capabilities in GAMESS are shown as well as the accuracies and efficiencies in energy and analytical energy gradient calculations. The scheme realizes calculations of molecules containing heavy elements with four-component relativistic accuracy and the non-relativistic computational cost.</p>

    CiNii

  • Amine-CO2 reaction simulator using quantum chemical calculation and swarm intelligence

    Nagato Sumika, Teranishi Kei, Seino Junji, Nakai Hiromi

    Proceedings of the Symposium on Chemoinformatics   2016 ( 0 )  2016

     View Summary

    The carbon dioxide capture and storage (CCS), which is a technique to reduce an amount of emission of CO2, has many attentions. The chemical absorption method, which is one scheme of the CCS technique, consists of two processes: a separation process for absorbing CO2 in a basic absorbent and a collection process for emitting high concentrate CO2 by high temperature. Many amines have been studied and developed to reduce the energy in the CO2 absorption. To explore an amine with a high efficiency in the CO2 absorption, the time courses in concentrations of chemical species for each amine give important information. In this study, we develop a reaction predictor to reproduce the experimental data, which uses elementary processes in a CO2<br>-amine reaction and the swarm intelligence. Furthermore, equilibrium constants for elementary processes are estimated from reaction Gibbs energies obtained by quantum chemical calculations in order to predict loading dependencies of chemical species in any amines.

    CiNii

  • Development of reaction prediction system based on informatics and quantum chemical calculation

    Fujinami Mikito, Seino Junji, Nakai Hiromi

    Proceedings of the Symposium on Chemoinformatics   2016 ( 0 )  2016

     View Summary

    In the field of chemoinformatics, computer-aided reaction prediction systems have been developed. However, the systems have not been widely used by experimental chemists because of its low accuracy for predicting chemical reactions. Recently, a reaction prediction scheme, which is based on the machine learning method and utilizes topological information of molecules as descriptors, has shown high effectiveness for organic reactions. Nevertheless, the application has been limited due to lack of steric and electronic information of molecules. The present study has developed a novel scheme, which uses the machine learning with descriptors obtained from quantum chemical calculation, in order to realize an accurate prediction for reactions including arbitrary chemical species such as organometallic and ionic reactions. The accuracy of present system has been clarified to be close to that of the previous system for basic polar and radical organic chemical reactions. In this presentation, we will show the details of the system and the dependencies on conditions of quantum chemical calculations.

    CiNii

  • Computational Chemistry Studies on CO2 Chemical Absorption Technique: Challenge on Energy and Environmental Issue

    TERANISHI Kei, ISHIKAWA Atsushi, NAKAI Hiromi

    Journal of Computer Chemistry, Japan   15 ( 2 ) A15 - A29  2016

     View Summary

    <p>Chemical absorption of CO2 employing alkanolamines is currently considered to be the most promising approach for CO2 emission reduction from power plants. Extensive efforts have been devoted by experimental and theoretical researchers in the development of amine solutions, with the main purpose of reducing the energy cost of solvent regeneration. In the present Commentary, we show how theoretical calculations have been utilized in the analysis of the amine-CO2 reaction mechanism. Theoretical studies with quantum chemistry calculations and ab initio molecular dynamics are mainly focused on.</p>

    CiNii

  • Development of Reaction Prediction Scheme Based on Machine Learning with Quantum Chemical Descriptors

    FUJINAMI Mikito, SEINO Junji, NAKAI Hiromi

    Journal of Computer Chemistry, Japan   15 ( 3 ) 63 - 65  2016

     View Summary

    <p>We have developed a novel reaction prediction system, which uses machine learning with quantum chemical descriptors. Numerical assessments of the system were performed on basic polar and radical organic chemical reactions. The accuracy of the present system was close to that of a previous system having machine learning with topological information, which is termed ReactionPredictor.</p>

    CiNii

  • Electronic transition process of fluorescence appearing in various organic polymers

    Seiya Nishikawa, Masashi Tonoi, Takeshi Yoshikawa, Naoshi Hirai, Hiromi Nakai, Yoshimichi Ohki

    IEEJ Transactions on Fundamentals and Materials   136 ( 4 ) 205 - 211  2016

     View Summary

    Low density polyethylene (LDPE) and polypropylene (PP) exhibit a photoluminescence (PL) band, which emits photons with an energy of around 4.3 eV when excited by photons with energies around 6.4 eV. The origin of this PL band has been assigned to α, β -unsaturated carbonyl. In this paper, the appearance of PL was examined for four kinds of polyolefin and four kinds of biodegradable polymers. As a result, it has become clear that all the polymers show a PL band with a PL excitation spectrum and a PL spectrum similar to those of the above-mentioned PL band in LDPE and PP. The decay profiles observed for these PL bands indicate that they are fluorescence. Furthermore, the intensity of the PL becomes weak for all the four polyolefin samples and the polylatic acid sample if ultraviolet photons were irradiated to the sample. Quantum chemical calculations carried out by assuming a model of α, β -unsaturated carbonyl have revealed that the PL originates in the π∗to π transition of electrons in the carbon-carbon double bond.

    DOI CiNii

  • Informatics-Based Energy Fitting Scheme for Correlation Energy at Complete Basis Set Limit

    Seino, Junji, Nakai, Hiromi

    Journal of Computational Chemistry   37 ( 25 ) 2304 - 2315  2016  [Refereed]

    DOI

  • Quantum Chemistry beyond Born-Oppenheimer Approximation on a Quantum Computer: A Simulated Phase Estimation Study

    Veis, Libor, Visnak, Jakub, Nishizawa, Hiroaki, Nakai, Hiromi, Pittner, Jiri

    International Journal of Quantum Chemistry   116 ( 18 ) 1328 - 1336  2016  [Refereed]

    DOI

  • The divide-and-conquer second-order proton propagator method based on nuclear orbital plus molecular orbital theory for the efficient computation of proton binding energies

    Tsukamoto, Yusuke, Ikabata, Yasuhiro, Romero, Jonathan, Reyes, Andres, Nakai, Hiromi

    Physical Chemistry Chemical Physics   18 ( 39 ) 27422 - 27431  2016  [Refereed]

     View Summary

    © 2016 the Owner Societies. An efficient computational method to evaluate the binding energies of many protons in large systems was developed. Proton binding energy is calculated as a corrected nuclear orbital energy using the second-order proton propagator method, which is based on nuclear orbital plus molecular orbital theory. In the present scheme, the divide-and-conquer technique was applied to utilize local molecular orbitals. This use relies on the locality of electronic relaxation after deprotonation and the electron-nucleus correlation. Numerical assessment showed reduction in computational cost without the loss of accuracy. An initial application to model a protein resulted in reasonable binding energies that were in accordance with the electrostatic environment and solvent effects.

    DOI

  • Electronic transition process of fluorescence appearing in various organic polymers

    Seiya Nishikawa, Masashi Tonoi, Takeshi Yoshikawa, Naoshi Hirai, Hiromi Nakai, Yoshimichi Ohki

    IEEJ Transactions on Fundamentals and Materials   136 ( 4 ) 205 - 211  2016

     View Summary

    Low density polyethylene (LDPE) and polypropylene (PP) exhibit a photoluminescence (PL) band, which emits photons with an energy of around 4.3 eV when excited by photons with energies around 6.4 eV. The origin of this PL band has been assigned to α, β -unsaturated carbonyl. In this paper, the appearance of PL was examined for four kinds of polyolefin and four kinds of biodegradable polymers. As a result, it has become clear that all the polymers show a PL band with a PL excitation spectrum and a PL spectrum similar to those of the above-mentioned PL band in LDPE and PP. The decay profiles observed for these PL bands indicate that they are fluorescence. Furthermore, the intensity of the PL becomes weak for all the four polyolefin samples and the polylatic acid sample if ultraviolet photons were irradiated to the sample. Quantum chemical calculations carried out by assuming a model of α, β -unsaturated carbonyl have revealed that the PL originates in the π∗to π transition of electrons in the carbon-carbon double bond.

    DOI

  • Divide-and-Conquer-Type Density-Functional Tight-Binding Molecular Dynamics Simulations of Proton Diffusion in a Bulk Water System

    Nakai, Hiromi, Sakti, Aditya Wibawa, Nishimura, Yoshifumi

    Journal of Physical Chemistry B   120 ( 1 ) 217 - 221  2016  [Refereed]

     View Summary

    © 2015 American Chemical Society.The process of proton diffusion in liquid water was investigated using molecular dynamics (MD) simulations, and the total energy and atomic forces were evaluated by the divide-and-conquer-type density-functional tight-binding (DC-DFTB) method. The effectiveness of this approach was confirmed by comparing the computational time of water clusters with conventional treatments. The unit cell employed herein, which contained 523 water molecules and 1 excess proton, was moderately large in comparison with those used in previous studies. The reasonable accuracy obtained by using this unit cell was confirmed by examining the temperature fluctuation. The diffusion coefficients for the vehicular and Grotthuss processes were accurately reproduced by the DC-DFTB-MD simulations with the unit cell containing 523 water molecules. Furthermore, the energy barriers were evaluated from the temperature dependence of the diffusion coefficient for each process. The calculated barrier for Grotthuss diffusion was in good agreement with the experimental value.

    DOI

  • Quantum chemical approach for condensed-phase thermochemistry (III): Accurate evaluation of proton hydration energy and standard hydrogen electrode potential

    Ishikawa, Atsushi, Nakai, Hiromi

    Chemical Physics Letters   650   159 - 164  2016  [Refereed]

     View Summary

    © 2016 Elsevier B.V. All rights reserved. Gibbs free energy of hydration of a proton and standard hydrogen electrode potential were evaluated using high-level quantum chemical calculations. The solvent effect was included using the cluster-continuum model, which treated short-range effects by quantum chemical calculations of proton-water complexes, and the long-range effects by a conductor-like polarizable continuum model. The harmonic solvation model (HSM) was employed to estimate enthalpy and entropy contributions due to nuclear motions of the clusters by including the cavity-cluster interactions. Compared to the commonly used ideal gas model, HSM treatment significantly improved the contribution of entropy, showing a systematic convergence toward the experimental data.

    DOI

  • 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

    Nakajima, Yuya, Seino, Junji, Nakai, Hiromi

    Journal of Chemical Theory and Computation   12 ( 5 ) 2181 - 2190  2016  [Refereed]

     View Summary

    © 2016 American Chemical Society.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.

    DOI

  • Assessment of self-consistent field convergence in spin-dependent relativistic calculations

    Nakano, Masahiko, Seino, Junji, Nakai, Hiromi

    Chemical Physics Letters   657   65 - 71  2016  [Refereed]

     View Summary

    © 2016 Elsevier B.V. All rights reserved.This Letter assesses the self-consistent field (SCF) convergence behavior in the generalized Hartree-Fock (GHF) method. Four acceleration algorithms were implemented for efficient SCF convergence in the GHF method: the damping algorithm, the conventional direct inversion in the iterative subspace (DIIS), the energy-DIIS (EDIIS), and a combination of DIIS and EDIIS. Four different systems with varying complexity were used to investigate the SCF convergence using these algorithms, ranging from atomic systems to metal complexes. The numerical assessments demonstrated the effectiveness of a combination of DIIS and EDIIS for GHF calculations in comparison with the other discussed algorithms.

    DOI

  • Quantum chemical approach for condensed-phase thermochemistry (IV): Solubility of gaseous molecules

    Ishikawa, Atsushi, Kamata, Masahiro, Nakai, Hiromi

    Chemical Physics Letters   655   103 - 109  2016  [Refereed]

     View Summary

    © 2016 Elsevier B.V. All rights reserved.The harmonic solvation model (HSM) was applied to the solvation of gaseous molecules and compared to a procedure based on the ideal gas model (IGM). Examination of 25 molecules showed that (i) the accuracy of ΔGsolv was similar for both methods, but the HSM shows advantages for calculating ΔHsolv and TΔSsolv; (ii) TΔSsolv contributes more than ΔHsolv to ΔGsolv in the HSM, i.e. the solvation of gaseous molecules is entropy-driven, which agrees well with experimental understanding (the IGM does not show this); (iii) the temperature dependence of Henry&#039;s law coefficient was correctly reproduced with the HSM.

    DOI

  • Three pillars for achieving quantum mechanical molecular dynamics simulations of huge systems: Divide-and-conquer, density-functional tight-binding, and massively parallel computation

    Nishizawa, Hiroaki, Nishimura, Yoshifumi, Kobayashi, Masato, Irle, Stephan, Nakai, Hiromi

    Journal of Computational Chemistry   37 ( 21 ) 1983 - 1992  2016  [Refereed]

     View Summary

    © 2016 Wiley Periodicals, Inc.The linear-scaling divide-and-conquer (DC) quantum chemical methodology is applied to the density-functional tight-binding (DFTB) theory to develop a massively parallel program that achieves on-the-fly molecular reaction dynamics simulations of huge systems from scratch. The functions to perform large scale geometry optimization and molecular dynamics with DC-DFTB potential energy surface are implemented to the program called DC-DFTB-K. A novel interpolation-based algorithm is developed for parallelizing the determination of the Fermi level in the DC method. The performance of the DC-DFTB-K program is assessed using a laboratory computer and the K computer. Numerical tests show the high efficiency of the DC-DFTB-K program, a single-point energy gradient calculation of a one-million-atom system is completed within 60 s using 7290 nodes of the K computer. © 2016 Wiley Periodicals, Inc.

    DOI PubMed

  • Relativistic frozen core potential scheme with relaxation of core electrons

    Nakajima, Yuya, Seino, Junji, Hayami, Masao, Nakai, Hiromi

    Chemical Physics Letters   663   97 - 103  2016  [Refereed]

     View Summary

    © 2016 Elsevier B.V.This letter proposes a relaxation scheme for core electrons based on the frozen core potential method at the infinite-order Douglas–Kroll–Hess level, called FCP-CR. The core electrons are self-consistently relaxed using frozen molecular valence potentials after the valence SCF calculation is performed. The efficiency of FCP-CR is confirmed by calculations of gold clusters. Furthermore, FCP-CR reproduces the results of the all-electron method for the energies of coinage metal dimers and the core ionization energies and core level shifts of vinyl acetate and three tungsten complexes at the Hartree–Fock and/or symmetry-adapted cluster configuration interaction levels.

    DOI

  • Quantum chemical approach for condensed-phase thermochemistry (III): Accurate evaluation of proton hydration energy and standard hydrogen electrode potential

    Ishikawa, Atsushi, Nakai, Hiromi, Nakai, Hiromi, Nakai, Hiromi, Nakai, Hiromi

    Chemical Physics Letters    2015.12

     View Summary

    © 2016 Elsevier B.V.Gibbs free energy of hydration of a proton and standard hydrogen electrode potential were evaluated using high-level quantum chemical calculations. The solvent effect was included using the cluster-continuum model, which treated short-range effects by quantum chemical calculations of proton-water complexes, and the long-range effects by a conductor-like polarizable continuum model. The harmonic solvation model (HSM) was employed to estimate enthalpy and entropy contributions due to nuclear motions of the clusters by including the cavity-cluster interactions. Compared to the commonly used ideal gas model, HSM treatment significantly improved the contribution of entropy, showing a systematic convergence toward the experimental data.

    DOI

  • Accompanying coordinate expansion and recurrence relation method using a transfer relation scheme for electron repulsion integrals with high angular momenta and long contractions

    Masao Hayami, Junji Seino, Hiromi Nakai

    Journal of Chemical Physics   142 ( 20 )  2015.05

     View Summary

    An efficient algorithm for the rapid evaluation of electron repulsion integrals is proposed. The present method, denoted by accompanying coordinate expansion and transferred recurrence relation (ACE-TRR), is constructed using a transfer relation scheme based on the accompanying coordinate expansion and recurrence relation method. Furthermore, the ACE-TRR algorithm is extended for the general-contraction basis sets. Numerical assessments clarify the efficiency of the ACE-TRR method for the systems including heavy elements, whose orbitals have long contractions and high angular momenta, such as f- and g-orbitals.

    DOI

  • Revisiting the Extrapolation of Correlation Energies to Complete Basis Set Limit

    Masaki Okoshi, Teruo Atsumi, Hiromi Nakai

    JOURNAL OF COMPUTATIONAL CHEMISTRY   36 ( 14 ) 1075 - 1082  2015.05  [Refereed]

     View Summary

    The extrapolation scheme of correlation energy is revisited to evaluate the complete basis set limit from double-zeta (DZ) and triple-zeta levels of calculations. The DZ level results are adjusted to the standard asymptotic behavior with respect to the cardinal number, observed at the higher levels of basis sets. Two types of adjusting schemes with effective scaling factors, which recover errors in extrapolations with the DZ level basis set, are examined. The first scheme scales the cardinal number for the DZ level energy, while the second scheme scales the prefactor of the extrapolation function. Systematic assessments on the Gaussian-3X and Gaussian-2 test sets reveal that these calibration schemes successfully and drastically reduce errors without additional computational efforts. (c) 2015 Wiley Periodicals, Inc.

    DOI

  • Revisiting the Extrapolation of Correlation Energies to Complete Basis Set Limit

    Masaki Okoshi, Teruo Atsumi, Hiromi Nakai

    JOURNAL OF COMPUTATIONAL CHEMISTRY   36 ( 14 ) 1075 - 1082  2015.05  [Refereed]

     View Summary

    The extrapolation scheme of correlation energy is revisited to evaluate the complete basis set limit from double-zeta (DZ) and triple-zeta levels of calculations. The DZ level results are adjusted to the standard asymptotic behavior with respect to the cardinal number, observed at the higher levels of basis sets. Two types of adjusting schemes with effective scaling factors, which recover errors in extrapolations with the DZ level basis set, are examined. The first scheme scales the cardinal number for the DZ level energy, while the second scheme scales the prefactor of the extrapolation function. Systematic assessments on the Gaussian-3X and Gaussian-2 test sets reveal that these calibration schemes successfully and drastically reduce errors without additional computational efforts. (c) 2015 Wiley Periodicals, Inc.

    DOI

  • Local response dispersion method in periodic systems: Implementation and assessment

    Yasuhiro Ikabata, Yusuke Tsukamoto, Yutaka Imamura, Hiromi Nakai

    Journal of Computational Chemistry   36 ( 5 ) 303 - 311  2015.02

     View Summary

    We report the implementation of the local response dispersion (LRD) method in an electronic structure program package aimed at periodic systems and an assessment combined with the Perdew-Burke-Ernzerhof (PBE) functional and its revised version (revPBE). The real-space numerical integration was implemented and performed exploiting the electron distribution given by the plane-wave basis set. The dispersioncorrected density functionals revPBE1LRD was found to be suitable for reproducing energetics, structures, and electron distributions in simple substances, molecular crystals, and physical adsorptions.

    DOI PubMed

  • Energy expression of the chemical bond between atoms in hydrides and oxides and its application to materials design

    Masahiko Morinaga, Hiroshi Yukawa, Hiromi Nakai

    The DV-X Molecular-Orbital Calculation Method     183 - 213  2015.01  [Refereed]

     View Summary

    Using energy density analysis, total energy is partitioned into the atomic energy densities of constituent elements. The atomization energy of each element is then evaluated by subtracting the atomic energy density from the energy of the isolated neutral atom. This recent approach to the energy expression is reviewed of the chemical bond between atoms in hydrides and oxides. For various hydrides, the atomization energies, ΔE H for H atom and ΔE M for metal atom, are evaluated and the ΔE H vs. ΔE M diagram called atomization energy diagram is made. All the hydrides including complex hydrides and metal hydrides can be located on this diagram, although there are significant differences in the nature of the chemical bond among them. Also, for hydrocarbons, CmH, the atomization energy for carbon, ΔE C, increases linearly with the ratio of carbon number to hydrogen number, m/n, while keeping ΔE H constant. It is no longer needed for us to give expression for the C-C bond to be either single, or double or triple bond in CmHn. For metal oxides, the atomization energies, ΔE M for metal atom and ΔE O for O atom, reflect the average structure as well as the local structure. As a result, their values change with the overall density of binary metal oxides. For perovskite-type oxides, the ΔE O value increases by the phase transition from cubic to tetragonal phase, regardless of the tilting-type or the &lt
    100&gt
    displacement-type transition. One of the applications of this approach is the quantitative evaluation for the catalytic activities of metal oxides (e.g., Nb2O5) on the dehydrogenation reaction of magnesium hydride (MgH2), MgH2 → Mg + H2. The atomization energy concept will provide us a new clue to materials design, for example, catalysts design.

    DOI

  • 無電解析出プロセスにおける還元剤BH4-に対するCu及びPd表面の触媒作用機構の理論的解析

    國本雅宏, 中井浩巳, 本間敬之

    表面技術   ( 66 ) 666 - 669  2015  [Refereed]

  • X-ray generation by inverse Compton scattering at the superconducting RF test facility

    Shimizu, Hirotaka, Akemoto, Mitsuo, Arai, Yasuo, Araki, Sakae, Aryshev, Alexander, Fukuda, Masafumi, Fukuda, Shigeki, Haba, Junji, Hara, Kazufumi, Hayano, Hitoshi, Higashi, Yasuo, Honda, Yosuke, Honma, Teruya, Kako, Eiji, Kojima, Yuji, Kondo, Yoshinari, Lekomtsev, Konstantin, Matsumoto, Toshihiro, Michizono, Shinichiro, Miyoshi, Toshinobu, Nakai, Hirotaka, Nakajima, Hiromitsu, Nakanishi, Kota, Noguchi, Shuichi, Okugi, Toshiyuki, Sato, Masato, Shevelev, Mikhail, Shishido, Toshio, Takenaka, Tateru, Tsuchiya, Kiyosumi, Urakawa, Junji, Watanabe, Ken, Yamaguchi, Seiya, Yamamoto, Akira, Yamamoto, Yasuchika, Sakaue, Kazuyuki, Hosoda, Seiichi, Iijima, Hokuto, Kuriki, Masao, Tanaka, Ryuta, Kuramoto, Ayaka, Omet, Mathieu, Takeda, Ayaki

    Nuclear Instruments &amp; Methods in Physics Research Section a-Accelerators Spectrometers Detectors and Associated Equipment   772  2015  [Refereed]

    DOI

  • Theoretical Analysis of the Oxidation Potentials of Organic Electrolyte Solvents

    Okoshi, Masaki, Ishikawa, Atsushi, Kawamura, Yoshiumi, Nakai, Hiromi

    Ecs Electrochemistry Letters   4 ( 9 ) A103 - A105  2015  [Refereed]

    DOI

  • Quantum chemical approach for condensed-phase thermochemistry (II): Applications to formation and combustion reactions of liquid organic molecules

    Ishikawa, Atsushi, Nakai, Hiromi

    Chemical Physics Letters   624   6 - 11  2015  [Refereed]

    DOI

  • Local Response Dispersion Method in Periodic Systems: Implementation and Assessment

    Ikabata, Yasuhiro, Tsukamoto, Yusuke, Imamura, Yutaka, Nakai, Hiromi

    Journal of Computational Chemistry   36 ( 5 ) 303 - 311  2015  [Refereed]

    DOI

  • Accompanying coordinate expansion and recurrence relation method using a transfer relation scheme for electron repulsion integrals with high angular momenta and long contractions.

    Hayami Masao, Seino Junji, Nakai Hiromi

    The Journal of chemical physics   142 ( 20 )  2015

     View Summary

    :An efficient algorithm for the rapid evaluation of electron repulsion integrals is proposed. The present method, denoted by accompanying coordinate expansion and transferred recurrence relation (ACE-TRR), is constructed using a transfer relation scheme based on the accompanying coordinate expansion and recurrence relation method. Furthermore, the ACE-TRR algorithm is extended for the general-contraction basis sets. Numerical assessments clarify the efficiency of the ACE-TRR method for the systems including heavy elements, whose orbitals have long contractions and high angular momenta, such as f- and g-orbitals.

    DOI PubMed

  • Revisiting the Extrapolation of Correlation Energies to Complete Basis Set Limit

    Okoshi, Masaki, Atsumi, Teruo, Nakai, Hiromi

    Journal of Computational Chemistry   36 ( 14 )  2015  [Refereed]

     View Summary

    :The extrapolation scheme of correlation energy is revisited to evaluate the complete basis set limit from double-zeta (DZ) and triple-zeta levels of calculations. The DZ level results are adjusted to the standard asymptotic behavior with respect to the cardinal number, observed at the higher levels of basis sets. Two types of adjusting schemes with effective scaling factors, which recover errors in extrapolations with the DZ level basis set, are examined. The first scheme scales the cardinal number for the DZ level energy, while the second scheme scales the prefactor of the extrapolation function. Systematic assessments on the Gaussian-3X and Gaussian-2 test sets reveal that these calibration schemes successfully and drastically reduce errors without additional computational efforts.

    DOI PubMed

  • Effect of Hartree-Fock exact exchange on intramolecular magnetic coupling constants of organic diradicals.

    Cho Daeheum, Ko Kyoung Chul, Ikabata Yasuhiro, Wakayama Kazufumi, Yoshikawa Takeshi, Nakai Hiromi, Lee Jin Yong

    The Journal of chemical physics   142 ( 2 )  2015

     View Summary

    :The intramolecular magnetic coupling constant (J) of diradical systems linked with five- or six-membered aromatic rings was calculated to obtain the scaling factor (experimental J/calculated J ratio) for various density functional theory (DFT) functionals. Scaling factors of group A (PBE, TPSSh, B3LYP, B97-1, X3LYP, PBE0, and BH&HLYP) and B (M06-L, M06, M06-2X, and M06-HF) were shown to decrease as the amount of Hartree-Fock exact exchange (HFx) increases, in other words, overestimation of calculated J becomes more severe as the HFx increases. We further investigated the effect of HFx fraction of DFT functional on J value, spin contamination, and spin density distributions by comparing the B3LYP analogues containing different amount of HFx. It was revealed that spin contamination and spin densities at each atom increases as the HFx increases. Above all, newly developed BLYP-5 functional, which has 5% of HFx, was found to have the scaling factor of 1.029, indicating that calculated J values are very close to that of experimental values without scaling. BLYP-5 has potential to be utilized for accurate evaluation of intramolecular magnetic coupling constant (J) of diradicals linked by five- or six-membered aromatic ring couplers.

    DOI PubMed

  • Linear-scaling self-consistent field calculations based on divide-and-conquer method using resolution-of-identity approximation on graphical processing units.

    Yoshikawa Takeshi, Nakai Hiromi

    Journal of computational chemistry   36 ( 3 )  2015

     View Summary

    :Graphical processing units (GPUs) are emerging in computational chemistry to include Hartree-Fock (HF) methods and electron-correlation theories. However, ab initio calculations of large molecules face technical difficulties such as slow memory access between central processing unit and GPU and other shortfalls of GPU memory. The divide-and-conquer (DC) method, which is a linear-scaling scheme that divides a total system into several fragments, could avoid these bottlenecks by separately solving local equations in individual fragments. In addition, the resolution-of-the-identity (RI) approximation enables an effective reduction in computational cost with respect to the GPU memory. The present study implemented the DC-RI-HF code on GPUs using math libraries, which guarantee compatibility with future development of the GPU architecture. Numerical applications confirmed that the present code using GPUs significantly accelerated the HF calculations while maintaining accuracy.

    DOI PubMed

  • Estimation of complete basis set limit in electron correlation energy utilizing informatics technique

    Seino Junji, Okoshi Masaki, Nakai Hiromi

    Proceedings of the Symposium on Chemoinformatics   2015 ( 0 ) 24 - 25  2015

     View Summary

    To realize quantum-chemical calculations with chemical accuracy (> 1 kcal/mol), efficient estimations of accurate electron correlation energies in a complete basis set (CBS) limit are important. Several extrapolation schemes to CBS limit, and composite schemes in combination with energies calculated with some levels of theories and basis sets have been proposed. This study proposes efficient estimation schemes of electron correlation energies in a CBS limit at the CCSD(T) level utilizing informatics technique.

    CiNii

  • Theoretical Study of Extremely Long yet Stable Carbon-Carbon Bonds: Effect of Attractive C center dot center dot center dot H Interactions and Small Radical Stabilization of Diamondoids

    Cho, Daeheum, Ikabata, Yasuhiro, Yoshikawa, Takeshi, Lee, Jin Yong, Nakai, Hiromi

    Bulletin of the Chemical Society of Japan   88 ( 12 ) 1636 - 1641  2015  [Refereed]

     View Summary

    The origin of the stability of diamondoid dimers containing very long carbon–carbon bonds was examined using density functional theory (DFT) calculations with local response dispersion correction. It has been suggested that noncovalent CH···HC contacts are the probable source of their extraordinary stability as evidenced by dispersion-corrected DFT calculations. In this work, we numerically proved that the small radical stabilization energy, which was achieved through the geometric relaxation of cleaved radicals, led to the high stability of diamondoid dimers compared to other hydrocarbons. The bond energy density analysis showed that the CH···HC contacts are repulsive though the dispersion force somewhat stabilizes the dimer. We further decomposed CH···HC interaction energies to discover strong attractive interaction between C&lt;sup&gt;δ−&lt;/sup&gt;···H&lt;sup&gt;δ+&lt;/sup&gt; intermonomer contacts.

    DOI CiNii

  • Recent Advances in Divide-and-Conquer Density-Functional Tight-Binding Molecular Dynamics Simulations (DC-DFTB-MD)

    NISHIMURA Yoshifumi, KAIHO Takeaki, NAKAI Hiromi

    Journal of Chemical Software   14 ( 3 ) 43 - 46  2015

     View Summary

    The authors group has developed the program named DC-DFTB-K for the on-the-fly quantum mechanical molecular dynamics (MD) simulation of huge systems using the density-functional tight binding (DFTB) method. The combination with the divide-and-conquer (DC) method enables linear-scaling calculation of DFTB energy and its derivatives. Due to the massively parallel implementation, the program can treat systems containing one million atoms on the K computer. In this paper, the recent extension of DC-DFTB-MD technique is outlined together with the illustrative application to chemical reaction dynamics in lithium-ion device.

    CiNii

  • Local Response Dispersion Method: A Density-Dependent Dispersion Correction for Density Functional Theory

    Ikabata, Yasuhiro, Nakai, Hiromi

    International Journal of Quantum Chemistry   115 ( 5 ) 309 - 324  2015  [Refereed]

    DOI

  • Large-Scale Two-Component Relativistic Quantum-Chemical Theory: Combination of the Infinite-Order Douglas-Kroll-Hess Method with the Local Unitary Transformation Scheme and the Divide-and-Conquer Method

    Seino, Junji, Nakai, Hiromi

    International Journal of Quantum Chemistry   115 ( 5 ) 253 - 257  2015  [Refereed]

    DOI

  • Effect of Hartree-Fock exact exchange on intramolecular magnetic coupling constants of organic diradicals

    Cho, Daeheum, Ko, Kyoung Chul, Ikabata, Yasuhiro, Wakayama, Kazufumi, Yoshikawa, Takeshi, Nakai, Hiromi, Lee, Jin Yong

    Journal of Chemical Physics   142 ( 2 )  2015  [Refereed]

    DOI

  • Linear-Scaling Self-Consistent Field Calculations Based on Divide-and-Conquer Method Using Resolution-of-Identity Approximation on Graphical Processing Units

    Yoshikawa, Takeshi, Nakai, Hiromi

    Journal of Computational Chemistry   36 ( 3 ) 164 - 170  2015  [Refereed]

    DOI

  • Linearity condition for orbital energies in density functional theory (V): Extension to excited state calculations

    Imamura, Yutaka, Suzuki, Kensei, Iizuka, Takeshi, Nakai, Hiromi

    Chemical Physics Letters   618   30 - 36  2015  [Refereed]

    DOI

  • Accompanying coordinate expansion and recurrence relation method using a transfer relation scheme for electron repulsion integrals with high angular momenta and long contractions

    Hayami, Masao, Seino, Junji, Nakai, Hiromi

    Journal of Chemical Physics   142 ( 20 )  2015  [Refereed]

     View Summary

    © 2015 AIP Publishing LLC. An efficient algorithm for the rapid evaluation of electron repulsion integrals is proposed. The present method, denoted by accompanying coordinate expansion and transferred recurrence relation (ACE-TRR), is constructed using a transfer relation scheme based on the accompanying coordinate expansion and recurrence relation method. Furthermore, the ACE-TRR algorithm is extended for the general-contraction basis sets. Numerical assessments clarify the efficiency of the ACE-TRR method for the systems including heavy elements, whose orbitals have long contractions and high angular momenta, such as f- and g-orbitals.

    DOI

  • A divide-and-conquer method with approximate Fermi levels for parallel computations

    Yoshikawa, Takeshi, Nakai, Hiromi

    Theoretical Chemistry Accounts   134 ( 5 )  2015  [Refereed]

     View Summary

    © 2015, Springer-Verlag Berlin Heidelberg. This study proposes two efficient algorithms of the linear-scaling divide-and-conquer self-consistent field (DC-SCF) method for parallel computations. These algorithms minimize the amount of network communication required for determining the common Fermi level by adopting an approximate Fermi level. One algorithm adopts the quasi-converged Fermi level during DC-SCF iterations, while the other uses the quasi-converged electron numbers of individual subsystems. A numerical assessment demonstrates the high parallel efficiency for both methods without loss in accuracy.

    DOI

  • Efficient Two-Component Relativistic Method for Large Systems

    Nakari, Hiromi

    International Conference of Computational Methods in Sciences and Engineering 2015 (Iccmse 2015)   1702  2015  [Refereed]

     View Summary

    © 2015 AIP Publishing LLC.This paper reviews a series of theoretical studies to develop efficient two-component (2c) relativistic method for large systems by the author&#039;s group. The basic theory is the infinite-order Douglas-Kroll-Hess (IODKH) method for many-electron Dirac-Coulomb Hamiltonian. The local unitary transformation (LUT) scheme can effectively produce the 2c relativistic Hamiltonian, and the divide-and-conquer (DC) method can achieve linear-scaling of Hartree-Fock and electron correlation methods. The frozen core potential (FCP) theoretically connects model potential calculations with the all-electron ones. The accompanying coordinate expansion with a transfer recurrence relation (ACE-TRR) scheme accelerates the computations of electron repulsion integrals with high angular momenta and long contractions.

    DOI

  • Theoretical Study on Excess-Electron Transfer in DNA Based on the Marcus Theory

    高田雄太, 大越昌樹, 星野稔, 石川敦之, 石川誠, 中井浩巳

    Journal of Computational Chemistry, Japan   13 ( 4 ) 242 - 249  2014.10  [Refereed]

     View Summary

    DNAs, which have charge transport abilities, are expected to apply to advanced materials in nanotechnology as conducting nano-wires. While the hole-transfer in DNA has been extensively investigated in many experimental and theoretical studies, the knowledge on the transfer of a negative charge, i.e., the excess-electron transfer (EET), is limited so far. In the present study, we evaluated the rate constants of EET in DNA, using the Marcus theory with density functional theory (DFT) calculations. The computed rate constant of EET between thymine bases, 2.31 − 3.49 × 10&lt;sup&gt;10&lt;/sup&gt; s&lt;sup&gt;−1&lt;/sup&gt;, showed good agreement with the experimental value, 4.4 ± 0.3 × 10&lt;sup&gt;10&lt;/sup&gt; s&lt;sup&gt;−1&lt;/sup&gt;. Furthermore, the mechanism of the decrease of EET rates due to miss-match base pairs was elucidated.

    DOI CiNii J-GLOBAL

  • Theoretical Study on the Selective Fluorescence of PicoGreen: Binding Models and Photophysical Properties

    Masaki Okoshi, Patchreenart Saparpakorn, Yuta Takada, Supa Hannongbua, Hiromi Nakai

    BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN   87 ( 2 ) 267 - 273  2014.02

     View Summary

    PicoGreen (PG) is used as a probe to selectively quantitate double-stranded (ds-) DNA because it shows unique fluorescence enhancement when complexed with DNA. By binding to ds- and single-stranded (ss-) DNA, the quantum yields of PG-DNA complexes become remarkably larger than that of a free molecule. In the present theoretical study, the fluorescence enhancement mechanism of PG-DNA complexes was investigated using molecular docking simulations and ab initio quantum chemical methods. The binding energies between PG and ds-DNA were calculated to be larger than those in the case of PG and ss-DNA owing to the existence of an extra pi-pi stacking interaction. Nonradiative deactivation paths through conical intersections between the ground and the first excited states were obtained for a free PG molecule, while steric repulsions between PG and DNA hindered such deactivation processes in the case of PG-DNA complexes.

    DOI CiNii

  • DFT Analysis on Cathodic Reaction of Au Thiosulfate Complex at Au (111) Surface - Cathodic Reaction Modeling

    Kunimoto, Masahiro, Nakai, Hiromi, Homma, Takayuki

    Fundamentals of Electrochemical Growth - From Upd To Microstructures 3   58  2014  [Refereed]

    DOI

  • 4.キャリアイオンの脱溶媒和過程の理論的解析

    大越 昌樹, 中井 浩巳

    Electrochemistry   82 ( 12 ) 1098 - 1101  2014

    CiNii

  • Theoretical Study on Excess-Electron Transfer in DNA Based on the Marcus Theory

    TAKADA Yuta, OKOSHI Masaki, HOSHINO Minoru, ISHIKAWA Atsushi, ISIKAWA Makoto, NAKAI Hiromi

    Journal of Chemical Software   13 ( 4 ) 242 - 249  2014

     View Summary

    DNAs, which have charge transport abilities, are expected to apply to advanced materials in nanotechnology as conducting nano-wires. While the hole-transfer in DNA has been extensively investigated in many experimental and theoretical studies, the knowledge on the transfer of a negative charge, i.e., the excess-electron transfer (EET), is limited so far. In the present study, we evaluated the rate constants of EET in DNA, using the Marcus theory with density functional theory (DFT) calculations. The computed rate constant of EET between thymine bases, 2.31 − 3.49 × 1010 s−1, showed good agreement with the experimental value, 4.4 ± 0.3 × 1010 s−1. Furthermore, the mechanism of the decrease of EET rates due to miss-match base pairs was elucidated.

    CiNii

  • Large-Scale and Highly Accurate Relativistic Quantum-Chemical Scheme:toward Establishment ofTheoretical Foundation for Element Strategy

    SEINO Junji, NAKAI Hiromi

    Journal of Chemical Software   13 ( 1 ) 1 - 17  2014

     View Summary

    The article discusses a highly efficient and accurate theory for electronic-state calculations of large-scale heavy-element compounds. After overviewing the current relativistic quantum-chemical theories, the authors describe what points should be considered and improved in order to attain the objective. In addition, they have developed an efficient and accurate two-component relativistic scheme, termed local unitary transformation (LUT) scheme based on infinite-order Douglas-Kroll-Hess method. Numerical applications show the effectiveness of the scheme. Furthermore, the extension of the LUT scheme to the divide-and-conquer (DC) method achieves overall linear-scaling computational cost. In particular, the present scheme would realize a paradigm shift from a non-relativistic (NR) framework to a relativistic one in the quantum chemistry field because the scheme gives close results to four-component relativistic ones with NR computational costs.

    CiNii

  • Quantum chemical approach for condensed-phase thermochemistry: proposal of a harmonic solvation model.

    Nakai Hiromi, Ishikawa Atsushi

    Quantum chemical approach for condensed-phase thermochemistry: proposal of a harmonic solvation model.   141 ( 17 )  2014

     View Summary

    :We propose a novel quantum chemical method, called the harmonic solvation model (HSM), for calculating thermochemical parameters in the condensed phase, particularly in the liquid phase. The HSM represents translational and rotational motions of a solute as vibrations interacting with a cavity wall of solvent molecules. As examples, the HSM and the ideal-gas model (IGM) were used for the standard formation reaction of liquid water, combustion reactions of liquid formic acid, methanol, and ethanol, vapor-liquid equilibration of water and ethanol, and dissolution of gaseous CO2 in water. The numerical results confirmed the reliability and applicability of the HSM. In particular, the temperature dependence of the Gibbs energy of liquid molecules was accurately reproduced by the HSM; for example, the boiling point of water was reasonably determined using the HSM, whereas the conventional IGM treatment failed to obtain a crossing of the two Gibbs energy curves for gaseous and liquid water.

    DOI

  • Extension of accompanying coordinate expansion and recurrence relation method for general-contraction basis sets.

    Hayami Masao, Seino Junji, Nakai Hiromi

    Extension of accompanying coordinate expansion and recurrence relation method for general-contraction basis sets.   35 ( 20 )  2014

     View Summary

    :An algorithm of the accompanying coordinate expansion and recurrence relation (ACE-RR), which is used for the rapid evaluation of the electron repulsion integral (ERI), has been extended to the general-contraction (GC) scheme. The present algorithm, denoted by GC-ACE-RR, is designed for molecular calculations including heavy elements, whose orbitals consist of many primitive functions with and without higher angular momentum such as d- and f-orbitals. The performance of GC-ACE-RR was assessed for (ss|ss)-, (pp|pp)-, (dd|dd)-, and (ff|ff)-type ERIs in terms of contraction length and the number of GC orbitals. The present algorithm was found to reduce the central processing unit time compared with the ACE-RR algorithm, especially for higher angular momentum and highly contracted orbitals. Compared with HONDOPLUS and GAMESS program packages, GC-ACE-RR computations for ERIs of three-dimensional gold clusters Aun (n = 1, 2, …, 10, 15, 20, and 25) are more than 10 times faster.

    DOI

  • Acceleration of self-consistent field convergence in ab initio molecular dynamics simulation with multiconfigurational wave function.

    Okoshi Masaki, Nakai Hiromi

    Acceleration of self-consistent field convergence in ab initio molecular dynamics simulation with multiconfigurational wave function.   35 ( 20 )  2014

     View Summary

    :The Lagrange interpolation of molecular orbital (LIMO) method, which reduces the number of self-consistent field iterations in ab initio molecular dynamics simulations with the Hartree-Fock method and the Kohn-Sham density functional theories, is extended to the theory of multiconfigurational wave functions. We examine two types of treatments for the active orbitals that are partially occupied. The first treatment, as denoted by LIMO(C), is a simple application of the conventional LIMO method to the union of the inactive core and the active orbitals. The second, as denoted by LIMO(S), separately treats the inactive core and the active orbitals. Numerical tests to compare the two treatments clarify that LIMO(S) is superior to LIMO(C). Further applications of LIMO(S) to various systems demonstrate its effectiveness and robustness.

    DOI

  • Quantum chemical approach for condensed-phase thermochemistry: Proposal of a harmonic solvation model

    Nakai, Hiromi, Ishikawa, Atsushi

    Journal of Chemical Physics   141 ( 17 )  2014  [Refereed]

    DOI

  • Extension of Accompanying Coordinate Expansion and Recurrence Relation Method for General-Contraction Basis Sets

    Hayami, Masao, Seino, Junji, Nakai, Hiromi

    Journal of Computational Chemistry   35 ( 20 ) 1517 - 1527  2014  [Refereed]

    DOI

  • Acceleration of Self-Consistent Field Convergence in Ab Initio Molecular Dynamics Simulation with Multiconfigurational Wave Function

    Okoshi, Masaki, Nakai, Hiromi

    Journal of Computational Chemistry   35 ( 20 ) 1473 - 1480  2014  [Refereed]

    DOI

  • Theoretical Study on the Selective Fluorescence of PicoGreen: Binding Models and Photophysical Properties

    Okoshi, Masaki, Saparpakorn, Patchreenart, Takada, Yuta, Hannongbua, Supa, Nakai, Hiromi

    Bulletin of the Chemical Society of Japan   87 ( 2 ) 267 - 273  2014  [Refereed]

    DOI

  • Frozen core potential scheme with a relativistic electronic Hamiltonian: Theoretical connection between the model potential and all-electron treatments

    Seino, Junji, Tarumi, Moto, Nakai, Hiromi

    Chemical Physics Letters   592   341 - 348  2014  [Refereed]

    DOI

  • Improving quasiparticle second order electron propagator calculations with the spin-component-scaled technique

    Romero, Jonathan, Charry, Jorge A., Nakai, Hiromi, Reyes, Andres

    Chemical Physics Letters   591   82 - 87  2014  [Refereed]

    DOI

  • Divide-and-conquer-based quantum chemical study for interaction between HIV-1 reverse transcriptase and MK-4965 inhibitor

    Patchreenart Saparpakorn, Masato Kobayashi, Supa Hannongbua, Hiromi Nakai

    International Journal of Quantum Chemistry   113 ( 4 ) 510 - 517  2013.02

     View Summary

    MK-4965, 3-{5-[(6-Amino-1H-pyrazolo[3,4-b]pyridine-3-yl)methoxy]-2- chlorophenoxy}-5-chloro-benzonitrile, is a novel non-nucleoside reverse transcriptase inhibitor (NNRTI) revealing high levels of potency against wild-type (WT) the human immunodeficiency virus type-1 (HIV-1) and some important mutants. The divide-and-conquer (DC) based Hartree-Fock (HF) and second-order Møller-Plesset perturbation theory (MP2) calculations were performed for the binding modes of MK-4965 in the reverse transcriptase (RT) of the WT HIV-1 and a mutant Y181C, 181 tyrosine mutated by cysteine. The binding pockets of MK-4965 consisting of 19 residues are selected for the study. Numerical assessments confirmed the efficiency and accuracy of the DC-MP2 method in comparison with the conventional MP2 one. Subsystem interaction energies obtained by the DC-MP2 calculations clarified the key parts of the binding between MK-4965 and HIV-1: hydrogen bonding with 102 lysine, which is apart from mutated 181 residue. The present information can give a helpful guide for the future inhibitor design. © 2012 Wiley Periodicals, Inc.

    DOI

  • Self-consistent field treatment and analytical energy gradient of local response dispersion method

    Yasuhiro Ikabata, Takeshi Sato, Hiromi Nakai

    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY   113 ( 3 ) 257 - 262  2013.02  [Refereed]

     View Summary

    This study presents the self-consistent field (SCF) treatment of the local response dispersion (LRD) method. The implementation of SCF involves the modification of the KohnSham Fock matrix by adding the dispersion potential. The derivatives of atomic pseudo-polarizabilities with respect to the density variables, which are required for evaluating the dispersion potential, are efficiently updated in the SCF procedure. Analytical energy gradient of the LRD method is also developed based on the SCF treatment. Numerical assessments of the present treatment clarified that the SCF effect brings about minor changes in both energy and electronic structure. The computational time, and number of SCF iterations, are essentially unaffected by moving from a non-self-consistent implementation to a self-consistent one. For the geometry optimizations for weakly interacting systems, the inclusion of the LRD energy gradients is shown to be essential for accurately demonstrating the intermolecular geometric parameters. (c) 2012 Wiley Periodicals, Inc.

    DOI

  • Analytical energy gradient based on spin-free infinite-order Douglas-Kroll-Hess method with local unitary transformation.

    Nakajima Yuya, Seino Junji, Nakai Hiromi

    Analytical energy gradient based on spin-free infinite-order Douglas-Kroll-Hess method with local unitary transformation.   139 ( 24 )  2013

     View Summary

    :In this study, the analytical energy gradient for the spin-free infinite-order Douglas-Kroll-Hess (IODKH) method at the levels of the Hartree-Fock (HF), density functional theory (DFT), and second-order Møller-Plesset perturbation theory (MP2) is developed. Furthermore, adopting the local unitary transformation (LUT) scheme for the IODKH method improves the efficiency in computation of the analytical energy gradient. Numerical assessments of the present gradient method are performed at the HF, DFT, and MP2 levels for the IODKH with and without the LUT scheme. The accuracies are examined for diatomic molecules such as hydrogen halides, halogen dimers, coinage metal (Cu, Ag, and Au) halides, and coinage metal dimers, and 20 metal complexes, including the fourth-sixth row transition metals. In addition, the efficiencies are investigated for one-, two-, and three-dimensional silver clusters. The numerical results confirm the accuracy and efficiency of the present method.

    DOI

  • Kinetic energy decomposition scheme based on information theory.

    Imamura Yutaka, Suzuki Jun, Nakai Hiromi

    Kinetic energy decomposition scheme based on information theory.   34 ( 32 )  2013

     View Summary

    :We proposed a novel kinetic energy decomposition analysis based on information theory. Since the Hirshfeld partitioning for electron densities can be formulated in terms of Kullback-Leibler information deficiency in information theory, a similar partitioning for kinetic energy densities was newly proposed. The numerical assessments confirm that the current kinetic energy decomposition scheme provides reasonable chemical pictures for ionic and covalent molecules, and can also estimate atomic energies using a correction with viral ratios.

    DOI

  • Local unitary transformation method toward practical electron correlation calculations with scalar relativistic effect in large-scale molecules.

    Seino Junji, Nakai Hiromi

    Local unitary transformation method toward practical electron correlation calculations with scalar relativistic effect in large-scale molecules.   139 ( 3 )  2013

     View Summary

    :In order to perform practical electron correlation calculations, the local unitary transformation (LUT) scheme at the spin-free infinite-order Douglas-Kroll-Hess (IODKH) level [J. Seino and H. Nakai, J. Chem. Phys. 136, 244102 (2012); and ibid. 137, 144101 (2012)], which is based on the locality of relativistic effects, has been combined with the linear-scaling divide-and-conquer (DC)-based Hartree-Fock (HF) and electron correlation methods, such as the second-order Mo̸ller-Plesset (MP2) and the coupled cluster theories with single and double excitations (CCSD). Numerical applications in hydrogen halide molecules, (HX)n (X = F, Cl, Br, and I), coinage metal chain systems, Mn (M = Cu and Ag), and platinum-terminated polyynediyl chain, trans,trans-{(p-CH3C6H4)3P}2(C6H5)Pt(C≡C)4Pt(C6H5){(p-CH3C6H4)3P}2, clarified that the present methods, namely DC-HF, MP2, and CCSD with the LUT-IODKH Hamiltonian, reproduce the results obtained using conventional methods with small computational costs. The combination of both LUT and DC techniques could be the first approach that achieves overall quasi-linear-scaling with a small prefactor for relativistic electron correlation calculations.

    DOI

  • Novel approach to excited-state calculations of large molecules based on divide-and-conquer method: application to photoactive yellow protein.

    Yoshikawa Takeshi, Kobayashi Masato, Fujii Atsuhiko, Nakai Hiromi

    Novel approach to excited-state calculations of large molecules based on divide-and-conquer method: application to photoactive yellow protein.   117 ( 18 )  2013

     View Summary

    :In this study, the divide-and-conquer (DC) method is extended to configuration-interaction singles, time-dependent density functional, and symmetry-adapted cluster configuration interaction (SACCI) theories for enabling excited-state calculations of large systems. In DC-based excited-state theories, one subsystem is selected as the excitation subsystem and analyzed via excited-state calculations. Test calculations for formaldehyde in water and a conjugated aldehyde demonstrate the high accuracy and effectiveness of these methods. To demonstrate the efficiency of the method, we calculated the π-π* excited state of photoactive yellow protein (PYP). The numerical applications to PYP confirm that the DC-SACCI method significantly accelerates the excited-state calculations while maintaining high accuracy.

    DOI

  • Linearity condition for orbital energies in density functional theory (III): benchmark of total energies.

    Imamura Yutaka, Kobayashi Rie, Nakai Hiromi

    Linearity condition for orbital energies in density functional theory (III): benchmark of total energies.   34 ( 14 )  2013

     View Summary

    :This study presents a numerical assessment of total energy related physical quantities estimated using the orbital-specific (OS) global and range-separated hybrid functionals, designed to satisfy the linearity condition for orbital energies (LCOE). The numerical assessment demonstrates that accurate evaluation of the reaction energies, reaction barrier, and dissociation curve can be achieved via the OS hybrid functional, for systems in which self-interaction is expected to be dominant. Therefore, the LCOE offers an accurate description of orbital energies as well as total energies for self-interaction dominant systems.

    DOI

  • An effective energy gradient expression for divide-and-conquer second-order Møller-Plesset perturbation theory.

    Kobayashi Masato, Nakai Hiromi

    An effective energy gradient expression for divide-and-conquer second-order Møller-Plesset perturbation theory.   138 ( 4 )  2013

     View Summary

    :We recently proposed a linear-scaling evaluation scheme for the second-order Mo̸ller-Plesset perturbation (MP2) energy based on the divide-and-conquer (DC) method [M. Kobayashi, Y. Imamura, and H. Nakai, J. Chem. Phys. 127, 074103 (2007)]. In this paper, we propose an approximate but effective expression for the first derivative of the DC-MP2 energy. The present scheme evaluates the one- and two-body density matrices, which appear in the MP2 gradient formula, in the DC manner; that is, the entire matrix is obtained as the sum of subsystem matrices masked by the partition matrix. Therefore, the method requires solving only the local Z-vector equations. Illustrative applications to three types of systems, peptides, Si surface model, and delocalized polyenes, reveal the effectiveness of the present method.

    DOI

  • Theoretical analysis of the influence of surface defects on the reactivity of hypophosphite ions

    Kunimoto, Masahiro, Otomo, Akira, Takahashi, Nana, Nakai, Hiromi, Homma, Takayuki

    Electrochimica Acta   113   785 - 791  2013  [Refereed]

    DOI

  • Analytical energy gradient based on spin-free infinite-order Douglas-Kroll-Hess method with local unitary transformation

    Nakajima, Yuya, Seino, Junji, Nakai, Hiromi

    Journal of Chemical Physics   139 ( 24 )  2013  [Refereed]

    DOI

  • Superphenalenyl: Theoretical Design of a pi-Conjugated Planar Hydrocarbon Radical

    Ikabata, Yasuhiro, Akiba, Kin-ya, Nakai, Hiromi

    Chemistry Letters   42 ( 11 ) 1386 - 1387  2013  [Refereed]

    DOI

  • Theoretical Analysis on De-Solvation of Lithium, Sodium, and Magnesium Cations to Organic Electrolyte Solvents

    Okoshi, Masaki, Yamada, Yuki, Yamada, Atsuo, Nakai, Hiromi

    Journal of the Electrochemical Society   160 ( 11 ) A2160 - A2165  2013  [Refereed]

    DOI

  • Kinetic Energy Decomposition Scheme Based on Information Theory

    Imamura, Yutaka, Suzuki, Jun, Nakai, Hiromi

    Journal of Computational Chemistry   34 ( 32 ) 2787 - 2795  2013  [Refereed]

    DOI

  • Theoretical Study on Stability of Lithium Ion Battery in Charging Process: Analysis Based on Partial Charge and Partial Energy

    Yamauchi, Yusuke, Nakai, Hiromi

    Journal of the Electrochemical Society   160 ( 9 ) A1364 - A1368  2013  [Refereed]

    DOI

  • Local unitary transformation method toward practical electron correlation calculations with scalar relativistic effect in large-scale molecules

    Seino, Junji, Nakai, Hiromi

    Journal of Chemical Physics   139 ( 3 )  2013  [Refereed]

    DOI

  • Acceleration effect of thiourea on the oxidation reaction of hypophosphite ion on Ni surface

    Kunimoto, Masahiro, Endo, Kazuaki, Nakai, Hiromi, Homma, Takayuki

    Electrochimica Acta   100   311 - 316  2013  [Refereed]

    DOI

  • Novel Approach to Excited-State Calculations of Large Molecules Based on Divide-and-Conquer Method: Application to Photoactive Yellow Protein

    Yoshikawa, Takeshi, Kobayashi, Masato, Fujii, Atsuhiko, Nakai, Hiromi

    Journal of Physical Chemistry B   117 ( 18 ) 5565 - 5573  2013  [Refereed]

    DOI

  • Linearity condition for orbital energies in density functional theory (III): Benchmark of total energies

    Imamura, Yutaka, Kobayashi, Rie, Nakai, Hiromi

    Journal of Computational Chemistry   34 ( 14 ) 1218 - 1225  2013  [Refereed]

    DOI

  • Divide-and-Conquer Electronic-Structure Study on the Mechanism of the West Nile Virus NS3 Protease Inhibitor

    Saparpakorn, Patchreenart, Kobayashi, Masato, Nakai, Hiromi

    Bulletin of the Chemical Society of Japan   86 ( 1 ) 67 - 74  2013  [Refereed]

    DOI

  • An effective energy gradient expression for divide-and-conquer second-order Moller-Plesset perturbation theory

    Kobayashi, Masato, Nakai, Hiromi

    Journal of Chemical Physics   138 ( 4 )  2013  [Refereed]

    DOI

  • Divide-and-conquer-based quantum chemical study for interaction between HIV-1 reverse transcriptase and MK-4965 inhibitor

    Saparpakorn, Patchreenart, Kobayashi, Masato, Hannongbua, Supa, Nakai, Hiromi

    International Journal of Quantum Chemistry   113 ( 4 ) 510 - 517  2013  [Refereed]

    DOI

  • Assessment of local response dispersion method for open-shell systems

    Ikabata, Yasuhiro, Nakai, Hiromi

    Chemical Physics Letters   556   386 - 392  2013  [Refereed]

    DOI

  • Self-consistent field treatment and analytical energy gradient of local response dispersion method

    Ikabata, Yasuhiro, Sato, Takeshi, Nakai, Hiromi

    International Journal of Quantum Chemistry   113 ( 3 ) 257 - 262  2013  [Refereed]

    DOI

  • Linearity condition for orbital energies in density functional theory (IV): Determination of range-determining parameter

    Imamura, Yutaka, Kobayashi, Rie, Nakai, Hiromi

    International Journal of Quantum Chemistry   113 ( 3 ) 245 - 251  2013  [Refereed]

    DOI

  • Accelerating convergence in the antisymmetric product of strongly orthogonal geminals method

    Tarumi, Moto, Kobayashi, Masato, Nakai, Hiromi

    International Journal of Quantum Chemistry   113 ( 3 ) 239 - 244  2013  [Refereed]

    DOI

  • Divide-and-conquer-based symmetry adapted cluster method: Synergistic effect of subsystem fragmentation and configuration selection

    Yoshikawa, Takeshi, Kobayashi, Masato, Nakai, Hiromi

    International Journal of Quantum Chemistry   113 ( 3 ) 218 - 223  2013  [Refereed]

    DOI

  • Cristaxenicin A, an antiprotozoal xenicane diterpenoid from the deep sea gorgonian acanthoprimnoa cristata

    Shin-Taro Ishigami, Yasuyuki Goto, Noboru Inoue, Shin-Ichiro Kawazu, Yoshitsugu Matsumoto, Yukimitsu Imahara, Moto Tarumi, Hiromi Nakai, Nobuhiro Fusetani, Yoichi Nakao

    Journal of Organic Chemistry   77 ( 23 ) 10962 - 10966  2012.12

     View Summary

    A new xenicane diterpenoid, cristaxenicin A (1), has been isolated from the deep sea gorgonian Acanthoprimnoa cristata. The structure of 1 was elucidated on the basis of spectral analysis including NMR and MS. The absolute configuration of 1 was determined on the basis of quantum chemical calculation of CD spectra. Cristaxenicin A (1) showed antiprotozoal activities against Leishmania amazonensis and Trypanosoma congolense with IC50 values of 0.088 and 0.25 μM, respectively. © 2012 American Chemical Society.

    DOI PubMed

  • Direct alkoxysilylation of alkoxysilanes for the synthesis of explicit alkoxysiloxane oligomers

    Ryutaro Wakabayashi, Misa Tamai, Kazufumi Kawahara, Hiroki Tachibana, Yutaka Imamura, Hiromi Nakai, Kazuyuki Kuroda

    JOURNAL OF ORGANOMETALLIC CHEMISTRY   716   26 - 31  2012.10  [Refereed]

     View Summary

    Direct alkoxysilylation, which is a powerful tool to provide explicit alkoxysiloxanes, is developed and its versatility is investigated. Siloxane pentamers Si[OSiR1(OMe)(2)](4) having various functional groups (R-1 = methyl, vinyl, phenyl, chloropropyl and n-butyl groups) were successfully obtained by direct alkoxysilylation of Si(OR)(4) (R= t-Bu, CHPh2). Thus, the versatility of the reaction is confirmed on organic functional groups R-1. Functional group tolerance of the reaction is discussed on the basis of electro-negativity of the R-1 groups. Alkoxysilylation of Si(Ot-Bu)(2)(OMe)(2) and Si(Ot-Bu)(OMe)(3) selectively gives trimer (MeO)(2)Si[OSiMe(OMe)(2)](2) and dimer (MeO)(3)SiOSiMe(OMe)(2), respectively. Thus, the feasibility on siloxane structure is also confirmed. Various siloxane compounds are synthesized by this newly developed reaction for the first time. (C) 2012 Published by Elsevier B.V.

    DOI

  • Extension of local response dispersion method to excited-state calculation based on time-dependent density functional theory

    Yasuhiro Ikabata, Hiromi Nakai

    JOURNAL OF CHEMICAL PHYSICS   137 ( 12 )  2012.09  [Refereed]

     View Summary

    We report the extension of the local response dispersion (LRD) method to the excited-state calculation based on time-dependent density functional theory. The difference density matrix, which is usually used for excited-state response properties, enables a state-specific dispersion correction. The numerical assessment proves that interaction energies of exciton-localized molecular complexes and their shifts from the ground state are accurately reproduced by the LRD method. Furthermore, we find that the dispersion correction is important in reproducing binding energies of aromatic excimers, despite the existence of other attractive forces such as exciton delocalization and charge-transfer interaction. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4754508]

    DOI

  • Local unitary transformation method for large-scale two-component relativistic calculations: Case for a one-electron Dirac Hamiltonian

    Junji Seino, Hiromi Nakai

    Journal of Chemical Physics   136 ( 24 ) 244102 1 - 13  2012.06

     View Summary

    An accurate and efficient scheme for two-component relativistic calculations at the spin-free infinite-order Douglas-Kroll-Hess (IODKH) level is presented. The present scheme, termed local unitary transformation (LUT), is based on the locality of the relativistic effect. Numerical assessments of the LUT scheme were performed in diatomic molecules such as HX and X 2 (X = F, Cl, Br, I, and At) and hydrogen halide clusters, (HX) n (X = F, Cl, Br, and I). Total energies obtained by the LUT method agree well with conventional IODKH results. The computational costs of the LUT method are drastically lower than those of conventional methods since in the former there is linear-scaling with respect to the system size and a small prefactor. © 2012 American Institute of Physics.

    DOI

  • Theoretical Analysis of Adsorption Structure of Hydrated Hypophosphite Ion on Pd (111) Surface

    Masahiro Kunimoto, Kenji Seki, Hiromi Nakai, Takayuki Homma

    ELECTROCHEMISTRY   80 ( 4 ) 222 - 225  2012.04  [Refereed]

     View Summary

    The influence of water molecules on the reaction behavior of hypophosphite ion, which acts as a reducing agent for electroless deposition, on metal surfaces was elucidated by calculating the adsorption structure of hydrated hypophosphite ion on a Pd surface using Monte-Carlo simulation and density functional theory calculations. Through geometrical optimization, the most favorable structure of the hydrated hypophosphite ion was obtained, in which six water molecules interact with the oxygen of hypophosphite ion and no water interacts with the hydrogen of hypophosphite ion. Further calculations indicated that the hydrated hypophosphite ion adsorbed on the Pd surface via hydrogen. (C) The Electrochemical Society of Japan, All rights reserved.

    DOI

  • Development of the explicitly correlated Gaussian-nuclear orbital plus molecular orbital theory: Incorporation of electron-electron correlation

    Hiroaki Nishizawa, Yutaka Imamura, Yasuhiro Ikabata, Hiromi Nakai

    CHEMICAL PHYSICS LETTERS   533   100 - 105  2012.04  [Refereed]

     View Summary

    This Letter proposes a scheme to incorporate electron-electron (e-e) correlation for the explicitly correlated Gaussian-nuclear orbital plus molecular orbital (ECG-NOMO) theory, which offers accurate descriptions for electronic and nuclear states. The second order Moller-Plesset perturbation theory and coupled-cluster theory with singles and doubles in the ECG-NOMO framework are adopted for evaluating the e-e correlation. Illustrative applications for dihydrogen, trihydrogen cation molecules, and their isotopomers confirm significant improvement for the total energies and zero-point energies. (C) 2012 Elsevier B. V. All rights reserved.

    DOI

  • Constrained self-consistent field method revisited toward theoretical designs of functional materials under external field

    Yuya Yamagata, Yutaka Imamura, Hiromi Nakai

    CHEMICAL PHYSICS LETTERS   530   132 - 136  2012.03  [Refereed]

     View Summary

    This Letter explores the potential utility of the constrained self-consistent field (CSCF) method as an efficient methodology for estimating the external fields that reproduce desired physical quantities. Using the fact that a Lagrange multiplier introduced in CSCF corresponds to an external field (perturbation), numerical assessments of CSCF were carried out on the benzene molecule. The activation energies and critical electric fields that reverse the polarizations of the ferroelectric material tetrathiafulvalene-p-chloranil (TTF-CA) were efficiently estimated. The numerical assessments demonstrate the potential applicability of CSCF for the practical designs of materials possessing certain desired physical quantities induced by external fields. (C) 2012 Elsevier B. V. All rights reserved.

    DOI

  • Dynamic hyperpolarizability calculations of large systems: The linear-scaling divide-and-conquer approach

    Masato Kobayashi, Tsuguki Touma, Hiromi Nakai

    JOURNAL OF CHEMICAL PHYSICS   136 ( 8 ) 084108 1 - 10  2012.02  [Refereed]

     View Summary

    We report a linear-scaling computation method for evaluating the dynamic first hyperpolarizability beta based on the divide-and-conquer (DC) method. In the present scheme, we utilized the quasi-density-matrix expression derived from Wigner's (2n + 1) rule for beta, where the quasi-density matrices are constructed from the solution obtained via the DC time-dependent self-consistent field (TD-SCF) method [T. Touma, M. Kobayashi, and H. Nakai, Chem. Phys. Lett. 485, 247 (2010)]. Numerical evaluation of pi-conjugated and saturated organic chain systems verified that the present scheme considerably reduces the computational time for the beta evaluation with a slight loss of accuracy, even around the singular frequency appearing at the electronic excitation energy. This evaluation indicates that the present linear-scaling TD-SCF scheme can also be used to estimate the molecular excitation energy. Furthermore, we succeeded in accurately evaluating the macroscopic second-harmonic generation coefficient of the polyvinylidene fluoride from the molecular (hyper)polarizabilities. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3687341]

    DOI

  • Discovery of Chemical Principles:Symmetry Rules for Degenerate Excitations

    NAKAI Hiromi

    Journal of Chemical Software   11 ( 1 ) 1 - 16  2012

     View Summary

    The article discusses chemical principles such as concept, theorem, rule, and hypothesis, which fulfil the role of so-called milestone in the chemical researches. After overviewing the history of quantum chemistry, the author would like to raise the issue how modern-day theoretical chemists should confront the chemical principles. Next, the symmetry rules for degenerate excitations, which are the chemical principles discovered by the authors group, are described. In particular, this article explains the background of the discovery, the verification by the numerical assessments, and the theoretical interpretation.

    CiNii

  • Local unitary transformation method for large-scale two-component relativistic calculations. II. Extension to two-electron Coulomb interaction.

    Seino Junji, Nakai Hiromi

    Local unitary transformation method for large-scale two-component relativistic calculations. II. Extension to two-electron Coulomb interaction.   137 ( 14 )  2012

     View Summary

    :The local unitary transformation (LUT) scheme at the spin-free infinite-order Douglas-Kroll-Hess (IODKH) level [J. Seino and H. Nakai, J. Chem. Phys. 136, 244102 (2012)], which is based on the locality of relativistic effects, has been extended to a four-component Dirac-Coulomb Hamiltonian. In the previous study, the LUT scheme was applied only to a one-particle IODKH Hamiltonian with non-relativistic two-electron Coulomb interaction, termed IODKH/C. The current study extends the LUT scheme to a two-particle IODKH Hamiltonian as well as one-particle one, termed IODKH/IODKH, which has been a real bottleneck in numerical calculation. The LUT scheme with the IODKH/IODKH Hamiltonian was numerically assessed in the diatomic molecules HX and X(2) and hydrogen halide molecules, (HX)(n) (X = F, Cl, Br, and I). The total Hartree-Fock energies calculated by the LUT method agree well with conventional IODKH/IODKH results. The computational cost of the LUT method is reduced drastically compared with that of the conventional method. In addition, the LUT method achieves linear-scaling with respect to the system size and a small prefactor.

    DOI

  • Extension of local response dispersion method to excited-state calculation based on time-dependent density functional theory.

    Ikabata Yasuhiro, Nakai Hiromi

    The Journal of chemical physics   137 ( 12 )  2012

     View Summary

    :We report the extension of the local response dispersion (LRD) method to the excited-state calculation based on time-dependent density functional theory. The difference density matrix, which is usually used for excited-state response properties, enables a state-specific dispersion correction. The numerical assessment proves that interaction energies of exciton-localized molecular complexes and their shifts from the ground state are accurately reproduced by the LRD method. Furthermore, we find that the dispersion correction is important in reproducing binding energies of aromatic excimers, despite the existence of other attractive forces such as exciton delocalization and charge-transfer interaction.

    PubMed

  • Local unitary transformation method for large-scale two-component relativistic calculations: case for a one-electron Dirac Hamiltonian.

    Seino Junji, Nakai Hiromi

    Local unitary transformation method for large-scale two-component relativistic calculations: case for a one-electron Dirac Hamiltonian.   136 ( 24 )  2012

     View Summary

    :An accurate and efficient scheme for two-component relativistic calculations at the spin-free infinite-order Douglas-Kroll-Hess (IODKH) level is presented. The present scheme, termed local unitary transformation (LUT), is based on the locality of the relativistic effect. Numerical assessments of the LUT scheme were performed in diatomic molecules such as HX and X(2) (X = F, Cl, Br, I, and At) and hydrogen halide clusters, (HX)(n) (X = F, Cl, Br, and I). Total energies obtained by the LUT method agree well with conventional IODKH results. The computational costs of the LUT method are drastically lower than those of conventional methods since in the former there is linear-scaling with respect to the system size and a small prefactor.

    DOI

  • How does it become possible to treat delocalized and/or open-shell systems in fragmentation-based linear-scaling electronic structure calculations? The case of the divide-and-conquer method.

    Kobayashi Masato, Nakai Hiromi

    How does it become possible to treat delocalized and/or open-shell systems in fragmentation-based linear-scaling electronic structure calculations? The case of the divide-and-conquer method.   14 ( 21 )  2012

     View Summary

    :The authors have developed a fragmentation-based linear-scaling electronic structure calculation strategy named the divide-and-conquer (DC) method, which has been implemented into the Gamess program package. Although there are many sorts of fragmentation-based linear-scaling schemes, most of them require the charge and spin multiplicity of each fragment a priori. Therefore, their applications to delocalized and/or open-shell systems have been limited. However, the DC method is a notable exception because the distribution of electrons in the entire system is automatically determined by the universal Fermi level. In this perspective, the authors have summarized the performance of the linear-scaling self-consistent field (SCF) and post-SCF calculations of delocalized and/or open-shell systems based on the DC method. Furthermore, some future prospects of the method have been discussed.

    DOI

  • Dynamic hyperpolarizability calculations of large systems: the linear-scaling divide-and-conquer approach.

    Kobayashi Masato, Touma Tsuguki, Nakai Hiromi

    Dynamic hyperpolarizability calculations of large systems: the linear-scaling divide-and-conquer approach.   136 ( 8 )  2012

     View Summary

    :We report a linear-scaling computation method for evaluating the dynamic first hyperpolarizability β based on the divide-and-conquer (DC) method. In the present scheme, we utilized the quasi-density-matrix expression derived from Wigner's (2n + 1) rule for β, where the quasi-density matrices are constructed from the solution obtained via the DC time-dependent self-consistent field (TD-SCF) method [T. Touma, M. Kobayashi, and H. Nakai, Chem. Phys. Lett. 485, 247 (2010)]. Numerical evaluation of π-conjugated and saturated organic chain systems verified that the present scheme considerably reduces the computational time for the β evaluation with a slight loss of accuracy, even around the singular frequency appearing at the electronic excitation energy. This evaluation indicates that the present linear-scaling TD-SCF scheme can also be used to estimate the molecular excitation energy. Furthermore, we succeeded in accurately evaluating the macroscopic second-harmonic generation coefficient of the polyvinylidene fluoride from the molecular (hyper)polarizabilities.

    DOI

  • Cristaxenicin A, an Antiprotozoal Xenicane Diterpenoid from the Deep Sea Gorgonian Acanthoprimnoa cristata

    Ishigami, Shin-Taro, Goto, Yasuyuki, Inoue, Noboru, Kawazu, Shin-Ichiro, Matsumoto, Yoshitsugu, Imahara, Yukimitsu, Tarumi, Moto, Nakai, Hiromi, Fusetani, Nobuhiro, Nakao, Yoichi

    Journal of Organic Chemistry   77 ( 23 ) 10962 - 10966  2012  [Refereed]

    DOI

  • Generalized Moller-Plesset Multiconfiguration Perturbation Theory Applied to an Open-Shell Antisymmetric Product of Strongly Orthogonal Geminals Reference Wave Function

    Tarumi, Moto, Kobayashi, Masato, Nakai, Hiromi

    Journal of Chemical Theory and Computation   8 ( 11 ) 4330 - 4335  2012  [Refereed]

    DOI

  • Local unitary transformation method for large-scale two-component relativistic calculations. II. Extension to two-electron Coulomb interaction

    Seino, Junji, Nakai, Hiromi

    Journal of Chemical Physics   137 ( 14 )  2012  [Refereed]

    DOI

  • Extension of local response dispersion method to excited-state calculation based on time-dependent density functional theory

    Ikabata, Yasuhiro, Nakai, Hiromi

    Journal of Chemical Physics   137 ( 12 )  2012  [Refereed]

    DOI

  • Direct alkoxysilylation of alkoxysilanes for the synthesis of explicit alkoxysiloxane oligomers

    Wakabayashi, Ryutaro, Tamai, Misa, Kawahara, Kazufumi, Tachibana, Hiroki, Imamura, Yutaka, Nakai, Hiromi, Kuroda, Kazuyuki

    Journal of Organometallic Chemistry   716   26 - 31  2012  [Refereed]

    DOI

  • Local unitary transformation method for large-scale two-component relativistic calculations: Case for a one-electron Dirac Hamiltonian

    Seino, Junji, Nakai, Hiromi

    Journal of Chemical Physics   136 ( 24 )  2012  [Refereed]

    DOI

  • How does it become possible to treat delocalized and/or open-shell systems in fragmentation-based linear-scaling electronic structure calculations? The case of the divide-and-conquer method

    Kobayashi, Masato, Nakai, Hiromi

    Physical Chemistry Chemical Physics   14 ( 21 ) 7629 - 7639  2012  [Refereed]

    DOI

  • Theoretical Analysis of Adsorption Structure of Hydrated Hypophosphite Ion on Pd (111) Surface

    Kunimoto, Masahiro, Seki, Kenji, Nakai, Hiromi, Homma, Takayuki

    Electrochemistry   80 ( 4 ) 222 - 225  2012  [Refereed]

    DOI

  • Development of the explicitly correlated Gaussian-nuclear orbital plus molecular orbital theory: Incorporation of electron-electron correlation

    Nishizawa, Hiroaki, Imamura, Yutaka, Ikabata, Yasuhiro, Nakai, Hiromi

    Chemical Physics Letters   533   100 - 105  2012  [Refereed]

    DOI

  • Theoretical Analysis of Catalytic Activity of Metal Surfaces on Reaction of Hypophosphite Ion

    Kunimoto, Masahiro, Nakai, Hiromi, Homma, Takayuki

    Electrochemistry   80 ( 3 ) 126 - 131  2012  [Refereed]

    DOI

  • Constrained self-consistent field method revisited toward theoretical designs of functional materials under external field

    Yamagata, Yuya, Imamura, Yutaka, Nakai, Hiromi

    Chemical Physics Letters   530   132 - 136  2012  [Refereed]

    DOI

  • Dynamic hyperpolarizability calculations of large systems: The linear-scaling divide-and-conquer approach

    Kobayashi, Masato, Touma, Tsuguki, Nakai, Hiromi

    Journal of Chemical Physics   136 ( 8 )  2012  [Refereed]

    DOI

  • Evaluation of electron repulsion integral of the explicitly correlated Gaussian-nuclear orbital plus molecular orbital theory

    Nishizawa, Hiroaki, Hoshino, Minoru, Imamura, Yutaka, Nakai, Hiromi

    Chemical Physics Letters   521   142 - 149  2012  [Refereed]

    DOI

  • 化学原理の発見:縮重系励起の対称則

    H. Nakai

    J. Comput. Chem. Jpn.   11 ( 1 ) 1 - 12  2012

  • Linearity condition for orbital energies in density functional theory (IV): Determination of range-determining parameter

    Y. Imamura, R. Kobayashi, H. Nakai

    Int. J. Quantum Chem.    2012

    DOI

  • How does it become possible to treat delocalized and/or open-shell systems in fragmentation-based linear-scaling electronic structure calculations? The case of the divide-and-conquer method

    Masato Kobayashi, Hiromi Nakai

    PHYSICAL CHEMISTRY CHEMICAL PHYSICS   14 ( 21 ) 7629 - 7639  2012  [Refereed]

     View Summary

    The authors have developed a fragmentation-based linear-scaling electronic structure calculation strategy named the divide-and-conquer (DC) method, which has been implemented into the GAMESS program package. Although there are many sorts of fragmentation-based linear-scaling schemes, most of them require the charge and spin multiplicity of each fragment a priori. Therefore, their applications to delocalized and/or open-shell systems have been limited. However, the DC method is a notable exception because the distribution of electrons in the entire system is automatically determined by the universal Fermi level. In this perspective, the authors have summarized the performance of the linear-scaling self-consistent field (SCF) and post-SCF calculations of delocalized and/or open-shell systems based on the DC method. Furthermore, some future prospects of the method have been discussed.

    DOI

  • Evaluation of electron repulsion integral of the explicitly correlated Gaussian-nuclear orbital plus molecular orbital theory

    Hiroaki Nishizawa, Minoru Hoshino, Yutaka Imamura, Hiromi Nakai

    CHEMICAL PHYSICS LETTERS   521   142 - 149  2012.01  [Refereed]

     View Summary

    This Letter proposes two schemes for the efficient evaluation of electron repulsion integrals required for the explicitly correlated Gaussian-nuclear orbital plus molecular orbital (ECG-NOMO) theory, which offers accurate descriptions for electrons and nuclei. Two schemes, i.e., fully analytical and hybrid schemes for analytical and numerical integrations, for the ECG-NOMO/Hartree-Fock theory are assessed. Illustrative applications of these schemes to two-electron diatomic molecules demonstrate that the ECG-NOMO/HF theory provides significantly accurate zero-point energies within 123.5 cm(-1) deviation when compared with the experimental data. (C) 2011 Elsevier B.V. All rights reserved.

    DOI

  • Divide-and-conquer-based symmetry adapted cluster method: Synergistic effect of subsystem fragmentation and configuration selection

    T. Yoshikawa, M. Kobayashi, H. Nakai

    Int. J. Quantum Chem.    2012

    DOI

  • Divide-and-conquer electronic-structure study on the mechanism of the West Nile Virus NS3 protease inhibitor

    P. Saparpakorn, M. Kobayashi, H. Nakai

    Bull. Chem. Soc. Jpn.    2012

  • Description of Core Ionized and Excited States by Density Functional Theory and Time-dependent Density Functional Theory

    Y. Imamura, H. Nakai

    Advances in the Theory of Atomic and Molecular Systems    2012

  • Accelerating convergence in the antisymmetric product of strongly orthogonal geminals method

    M. Tarumi, M. Kobayashi, H. Nakai

    Int. J. Quantum Chem.    2012

    DOI

  • Finite-field evaluation of static (hyper)polarizabilities based on the linear-scaling divide-and-conquer method

    Tsuguki Touma, Masato Kobayashi, Hiromi Nakai

    THEORETICAL CHEMISTRY ACCOUNTS   130 ( 4-6 ) 701 - 709  2011.12  [Refereed]

     View Summary

    This article describes the finite-field (FF) approach for calculating static (hyper)polarizabilities based on the divide-and-conquer (DC) method. The method is assessed by the Hartree-Fock (HF) and post-HF calculations of pi-conjugated model systems: a terminal donor or acceptor substituent on polyene chains. The DC-FF approach enables the evaluation of molecular polarizabilities with highly accurate coupled-cluster theory. Numerical assessments demonstrate that the (hyper)polarizabilities calculated by the present DC-FF method agree with the conventional FF results to within a few percent by employing an appropriate buffer size.

    DOI

  • Quantum Chemical Simulations for Atoms and Molecules

    Nakai Hiromi, Okoshi Masaki

    Journal of the Japan Society for Simulation Technology   30 ( 4 ) 199 - 206  2011.12

    CiNii

  • Two-Level Hierarchical Parallelization of Second-Order Moller-Plesset Perturbation Calculations in Divide-and-Conquer Method

    Michio Katouda, Masato Kobayashi, Hiromi Nakai, Shigeru Nagase

    JOURNAL OF COMPUTATIONAL CHEMISTRY   32 ( 13 ) 2756 - 2764  2011.10  [Refereed]

     View Summary

    A two-level hierarchical parallelization scheme including the second-order Moller-Plesset perturbation (MP2) theory in the divide-and-conquer method is presented. The scheme is a combination of coarse-grain parallelization assigning each subsystem to a group of processors, with fine-grain parallelization, where the computational tasks for evaluating MP2 correlation energy of the assigned subsystem are distributed among processors in the group. Test calculations demonstrate that the present scheme shows high parallel efficiency and makes MP2 calculations practical for very large molecules. (C) 2011 Wiley Periodicals, Inc. J Comput Chem 32: 2756-2764, 2011

    DOI

  • Linear-scaling divide-and-conquer second-order Moller-Plesset perturbation calculation for open-shell systems: implementation and application

    Takeshi Yoshikawa, Masato Kobayashi, Hiromi Nakai

    THEORETICAL CHEMISTRY ACCOUNTS   130 ( 2-3 ) 411 - 417  2011.10  [Refereed]

     View Summary

    We have developed the spin-unrestricted divide-and-conquer (DC)-based linear-scaling self-consistent field method for treating open-shell systems (Kobayashi et al. in Chem Phys Lett 500:172, 2010). Because the method does not require the position of excess spins or charges, it made the treatment of large spin-delocalized systems tractable. The present study extends the DC-based unrestricted open-shell scheme to the correlated second-order Moller-Plesset perturbation (MP2) theory. Numerical applications to polyene cations demonstrate that the present method gives highly accurate results with less computational costs even for spin-delocalized systems.

    DOI

  • Linearity condition for orbital energies in density functional theory (II): Application to global hybrid functionals

    Yutaka Imamura, Rie Kobayashi, Hiromi Nakai

    CHEMICAL PHYSICS LETTERS   513 ( 1-3 ) 130 - 135  2011.09  [Refereed]

     View Summary

    We have previously proposed the linearity condition for orbital energies (LCOE) in density functional theory for constructing orbital-specific exchange-correlation (XC) functionals and reported promising results in the case of range-separated functionals [24]. This Letter applies the LCOE to global hybrid functionals of which the OS Hartree-Fock exchange portions are determined by the LCOE. The numerical assessment demonstrates accurate descriptions of core and valence orbital energies for all global hybrid functionals. Thus, the LCOE is generally an effective and essential condition for constructing XC functionals. (C) 2011 Elsevier B. V. All rights reserved.

    DOI

  • Bond energy analysis revisited and designed toward a rigorous methodology

    Hiromi Nakai, Hideaki Ohashi, Yutaka Imamura, Yasuaki Kikuchi

    JOURNAL OF CHEMICAL PHYSICS   135 ( 12 ) 124105 1 - 12  2011.09  [Refereed]

     View Summary

    The present study theoretically revisits and numerically assesses two-body energy decomposition schemes including a newly proposed one. The new decomposition scheme is designed to make the equilibrium bond distance equivalent with the minimum point of bond energies. Although the other decomposition schemes generally predict the wrong order of the C-C bond strengths of C(2)H(2), C(2)H(4), and C(2)H(6), the new decomposition scheme is capable of reproducing the C-C bond strengths. Numerical assessment on a training set of molecules demonstrates that the present scheme exhibits a stronger correlation with bond dissociation energies than the other decomposition schemes do, which suggests that the new decomposition scheme is a reliable and powerful analysis methodology. (C) 2011 American Institute of Physics. [doi:10.1063/1.3636387]

    DOI

  • Rigorous non-Born-Oppenheimer theory: Combination of explicitly correlated Gaussian method and nuclear orbital plus molecular orbital theory

    Minoru Hoshino, Hiroaki Nishizawa, Hiromi Nakai

    JOURNAL OF CHEMICAL PHYSICS   135 ( 2 ) 024111 1 - 13  2011.07  [Refereed]

     View Summary

    The present study proposes a rigorous non-Born-Oppenheimer theory combining between the explicitly correlated Gaussian (ECG) method and the nuclear orbital plus molecular orbital (NOMO) method. The new method, called ECG-NOMO, adopts the ECG functions between the electronic and nuclear coordinates and, therefore, is capable of describing the nucleus-electron correlation effect accurately. The basic formalism of the ECG-NOMO method is close to the NOMO method, which starts with the Hartree-Fock type equations for NOs and MOs. The present method requires more computational cost than the original NOMO method. However, its cost is significantly smaller than that of the ECG method. The numerical tests was performed for hydrogen-like atoms (H-Ne9+) and dihydrogen cations (H2+, D2+ and T2+), and clarified that the ECG-NOMO method shows the sufficient accuracy. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3609806]

    DOI

  • Energy expression of the chemical bond between atoms in metal oxides

    Yoshifumi Shinzato, Yuki Saito, Masahito Yoshino, Hiroshi Yukawa, Masahiko Morinaga, Takeshi Baba, Hiromi Nakai

    JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS   72 ( 7 ) 853 - 861  2011.07  [Refereed]

     View Summary

    The chemical bond between atoms in metal oxides is expressed in an energy scale. Total energy is partitioned into the atomic energy densities of constituent elements in the metal oxide, using energy density analysis. The atomization energies, Delta E-M for metal atom and Delta E-O for O atom, are then evaluated by subtracting the atomic energy densities from the energy of the isolated neutral atom, M and O, respectively. In this study, a Delta E-O vs. Delta E-M diagram called atomization energy diagram is first proposed and used for the understanding of the nature of chemical bond in various metal oxides. Both Delta E-M and Delta E-O values reflect the average structure as well as the local structure. For example their values vary depending on the vertex, edge or face sharing of MO6 octahedron, and also change with the overall density of binary metal oxides. For perovskite-type oxides it is shown that the Delta E-O value tends to increase by the phase transition from cubic to tetragonal phase, regardless of the tilting-type or the &lt; 100 &gt; displacement-type transition. The bond formation in spinel-type oxides is also understood with the aid of the atomization energies. The present approach based on the atomization energy concept will provide us a new clue to the design of metal oxides. (C) 2011 Elsevier Ltd. All rights reserved.

    DOI

  • Theoretical Design of Hexacoordinate Hypervalent Carbon Compounds by Analyzing Substituent Effects

    Hiromi Nakai, Masaki Okoshi, Teruo Atsumi, Yasuaki Kikuchi, Kin-ya Akiba

    BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN   84 ( 5 ) 505 - 510  2011.05  [Refereed]

     View Summary

    A hexacoordinate hypervalent carbon compound with an ideal octahedral structure was proposed theoretically in a previous study (Chem. Phys. Lett. 2008, 460, 37). However, there is no report telling of success in synthesizing the compound and/or its derivatives. In order to perform a theoretical design for stronger hypervalent bonds, the present study systematically investigated the substituent effects at the para position of phenyl groups of axial C-C and equatorial C-O bonds by adopting 14 functional groups involving both electron-donating and -withdrawing groups. The results showed that the substituent effect at the former position is more influential than that at the latter. In the former case, a good correlation between the C-C and C-O distances is found and the hypervalent C-O bonds are strengthened as the substituent becomes more electron-withdrawing. In the latter case, both electron-donating and -withdrawing groups slightly weaken the hypervalent C-O bonds.

    DOI

  • Interpretation of intermolecular geometric isotope effect in hydrogen bonds: Nuclear orbital plus molecular orbital study

    Yasuhiro Ikabata, Yutaka Imamura, Hiromi Nakai

    Journal of Physical Chemistry A   115 ( 8 ) 1433 - 1439  2011.03

     View Summary

    The intermolecular geometric isotope effect (GIE) in hydrogen bond A-X⋯B (X = H and D) is investigated theoretically using the nuclear orbital plus molecular orbital (NOMO) theory. To interpret the GIE in terms of physically meaningful energy components such as electrostatic and exchange-repulsion interactions, the reduced variational space self-consistent-field method is extended to the NOMO scheme. The intermolecular GIE is analyzed as a two-stage process: the intramolecular bond shrinkage and the intermolecular bond elongation. According to the isotopic shifts of energy components described by the NOMO/MP2 method, the intermolecular GIE is approximately interpreted as a process reducing the exchange-repulsion interaction after the decrease of electrostatic interaction. © 2011 American Chemical Society.

    DOI PubMed

  • Linearity condition for orbital energies in density functional theory: Construction of orbital-specific hybrid functional

    Yutaka Imamura, Rie Kobayashi, Hiromi Nakai

    JOURNAL OF CHEMICAL PHYSICS   134 ( 12 ) 124113 1 - 6  2011.03  [Refereed]

     View Summary

    This study proposes a novel approach to construct the orbital-specific (OS) hybrid exchange-correlation functional by imposing the linearity condition: theta E-2/theta f(i)(2)vertical bar(0 &lt;= fi &lt;= 1) = theta epsilon i/theta fi vertical bar(0 &lt;= fi &lt;= 1) = 0, where E, epsilon(i), and f(i) represent the total energy, orbital energy, and occupation number of the ith orbital. The OS hybrid exchange-correlation functional, of which the OS Hartree-Fock exchange (HFx) portion is determined by the linearity condition, reasonably reproduces the ionization potentials not only from valence orbitals but also from core ones in a sense of Koopmans' theorem. The obtained short-range HFx portions are consistent with the parameters empirically determined in core-valence-Rydberg-Becke-3-parameter-Lee-Yang-Parr hybrid functional [Nakata et al., J. Chem. Phys., 124, 094105 (2006); ibid, 125, 064109 (2006)]. (C) 2011 American Institute of Physics. [doi:10.1063/1.3569030]

    DOI

  • Linear-scaling electronic structure calculation program based on divide-and-conquer method

    Nakai, Hiromi, Kobayashi, Masato

    Proceedings of the International Conference on Computational Science (Iccs)   4  2011  [Refereed]

    DOI

  • Construction of orbital-specific hybrid functional by imposing the linearity condition for orbital energies in density functional theory

    Imamura, Yutaka, Kobayashi, Rie, Nakai, Hiromi

    Proceedings of the International Conference on Computational Science (Iccs)   4  2011  [Refereed]

    DOI

  • Atomization energy approach to the quantitative evaluation of catalytic activities of metal oxides during dehydrogenation of MgH2

    Hirate, H., Morinaga, M., Yukawa, H., Nakai, H.

    Journal of Alloys and Compounds   509  2011  [Refereed]

    DOI

  • Quantitative Evaluation of Catalytic Effect of Metal Chlorides on the Decomposition Reaction of NaAlH4

    Hirate, Hiroshi, Saito, Yuki, Nakaya, Ippei, Sawai, Hiroshi, Yukawa, Hiroshi, Morinaga, Masahiko, Nakai, Hiromi

    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY   111 ( 5 ) 950 - 960  2011

    DOI

  • Bond energy analysis revisited and designed toward a rigorous methodology.

    Nakai Hiromi, Ohashi Hideaki, Imamura Yutaka, Kikuchi Yasuaki

    Bond energy analysis revisited and designed toward a rigorous methodology.   135 ( 12 )  2011

     View Summary

    :The present study theoretically revisits and numerically assesses two-body energy decomposition schemes including a newly proposed one. The new decomposition scheme is designed to make the equilibrium bond distance equivalent with the minimum point of bond energies. Although the other decomposition schemes generally predict the wrong order of the C-C bond strengths of C(2)H(2), C(2)H(4), and C(2)H(6), the new decomposition scheme is capable of reproducing the C-C bond strengths. Numerical assessment on a training set of molecules demonstrates that the present scheme exhibits a stronger correlation with bond dissociation energies than the other decomposition schemes do, which suggests that the new decomposition scheme is a reliable and powerful analysis methodology.

    DOI

  • Linearity condition for orbital energies in density functional theory: Construction of orbital-specific hybrid functional

    Y. Imamura, R. Kobayashi, H. Nakai

    J. Chem. Phys.   134 ( 12 ) 124113 1 - 6  2011

     View Summary

    :This study proposes a novel approach to construct the orbital-specific (OS) hybrid exchange-correlation functional by imposing the linearity condition: ∂(2)E/∂f(i)(2)|(0≤f(i)≤1) = ∂ɛ(i)/∂f(i)|(0≤f(i)≤1) = 0, where E, ε(i), and f(i) represent the total energy, orbital energy, and occupation number of the ith orbital. The OS hybrid exchange-correlation functional, of which the OS Hartree-Fock exchange (HFx) portion is determined by the linearity condition, reasonably reproduces the ionization potentials not only from valence orbitals but also from core ones in a sense of Koopmans' theorem. The obtained short-range HFx portions are consistent with the parameters empirically determined in core-valence-Rydberg-Becke-3-parameter-Lee-Yang-Parr hybrid functional [Nakata et al., J. Chem. Phys., 124, 094105 (2006); ibid, 125, 064109 (2006)].

    DOI

  • Reconsidering an analytical gradient expression within a divide-and-conquer self-consistent field approach: exact formula and its approximate treatment

    M. Kobayashi, T. Kunisada, T. Akama, D. Sakura, H. Nakai

    J. Chem. Phys.   134 ( 3 ) 34105 1 - 11  2011

     View Summary

    :An analytical energy gradient formula for the density-matrix-based linear-scaling divide-and-conquer (DC) self-consistent field (SCF) method was proposed in a previous paper by Yang and Lee (YL) [J. Chem. Phys. 103, 5674 (1995)]. Since the formula by YL does not correspond to the exact gradient of the DC-SCF energy, we derive the exact formula by direct differentiation, which requires solving the coupled-perturbed equations while including the inter-subsystem coupling terms. Next, we present an alternative formula for approximately evaluating the DC-SCF energy gradient, assuming the variational condition for the subsystem density matrices. Numerical assessments confirmed that the DC-SCF energy gradient values obtained by the present formula are in reasonable agreement with the conventional SCF values when adopting a reliable buffer region. Furthermore, the performance of the present method was found to be better than that of the YL method.

    DOI

  • Finite-field evaluation of static (hyper)polarizabilities based on the linear-scaling divide-and-conquer method

    Touma, Tsuguki, Kobayashi, Masato, Nakai, Hiromi

    Theoretical Chemistry Accounts   130 ( 4-6 ) 701 - 709  2011  [Refereed]

    DOI

  • Linear-scaling divide-and-conquer second-order Moller-Plesset perturbation calculation for open-shell systems: implementation and application

    Yoshikawa, Takeshi, Kobayashi, Masato, Nakai, Hiromi

    Theoretical Chemistry Accounts   130 ( 2-3 ) 411 - 417  2011  [Refereed]

    DOI

  • Bond energy analysis revisited and designed toward a rigorous methodology

    Nakai, Hiromi, Ohashi, Hideaki, Imamura, Yutaka, Kikuchi, Yasuaki

    Journal of Chemical Physics   135 ( 12 )  2011  [Refereed]

    DOI

  • Linearity condition for orbital energies in density functional theory (II): Application to global hybrid functionals

    Imamura, Yutaka, Kobayashi, Rie, Nakai, Hiromi

    Chemical Physics Letters   513 ( 1-3 ) 130 - 135  2011  [Refereed]

    DOI

  • Two-Level Hierarchical Parallelization of Second-Order Moller-Plesset Perturbation Calculations in Divide-and-Conquer Method

    Katouda, Michio, Kobayashi, Masato, Nakai, Hiromi, Nagase, Shigeru

    Journal of Computational Chemistry   32 ( 13 ) 2756 - 2764  2011  [Refereed]

    DOI

  • Density Functional Theory Analysis for Orbital Interaction between Hypophosphite Ions and Metal Surfaces

    Kunimoto, Masahiro, Nakai, Hiromi, Homma, Takayuki

    Journal of the Electrochemical Society   158 ( 10 ) D626 - D633  2011  [Refereed]

    DOI

  • Density Functional Theory Analysis of Reaction Mechanism of Hypophosphite Ions on Metal Surfaces

    Kunimoto, Masahiro, Shimada, Takuya, Odagiri, Shuichi, Nakai, Hiromi, Homma, Takayuki

    Journal of the Electrochemical Society   158 ( 9 ) D585 - D589  2011  [Refereed]

    DOI

  • Rigorous non-Born-Oppenheimer theory: Combination of explicitly correlated Gaussian method and nuclear orbital plus molecular orbital theory

    Hoshino, Minoru, Nishizawa, Hiroaki, Nakai, Hiromi

    Journal of Chemical Physics   135 ( 2 )  2011  [Refereed]

    DOI

  • Theoretical Design of Hexacoordinate Hypervalent Carbon Compounds by Analyzing Substituent Effects

    Nakai, Hiromi, Okoshi, Masaki, Atsumi, Teruo, Kikuchi, Yasuaki, Akiba, Kin-ya

    Bulletin of the Chemical Society of Japan   84 ( 5 ) 505 - 510  2011  [Refereed]

    DOI

  • Development of linear-scaling electronic-structure calculation based on divide-and-conquer approach

    Nakai, Hiromi

    Abstracts of Papers of the American Chemical Society   241  2011  [Refereed]

  • Energy expression of the chemical bond between atoms in metal oxides

    Shinzato, Yoshifumi, Saito, Yuki, Yoshino, Masahito, Yukawa, Hiroshi, Morinaga, Masahiko, Baba, Takeshi, Nakai, Hiromi

    Journal of Physics and Chemistry of Solids   72 ( 7 ) 853 - 861  2011  [Refereed]

    DOI

  • Linearity condition for orbital energies in density functional theory: Construction of orbital-specific hybrid functional

    Imamura, Yutaka, Kobayashi, Rie, Nakai, Hiromi

    Journal of Chemical Physics   134 ( 12 )  2011  [Refereed]

    DOI

  • Interpretation of Intermolecular Geometric Isotope Effect in Hydrogen Bonds: Nuclear Orbital plus Molecular Orbital Study

    Ikabata, Yasuhiro, Imamura, Yutaka, Nakai, Hiromi

    Journal of Physical Chemistry a   115 ( 8 ) 1433 - 1439  2011  [Refereed]

    DOI

  • Quantitative Evaluation of Catalytic Effect of Metal Chlorides on the Decomposition Reaction of NaAlH4

    Hirate, Hiroshi, Saito, Yuki, Nakaya, Ippei, Sawai, Hiroshi, Yukawa, Hiroshi, Morinaga, Masahiko, Nakai, Hiromi

    International Journal of Quantum Chemistry   111 ( 5 ) 950 - 960  2011  [Refereed]

    DOI

  • Reconsidering an analytical gradient expression within a divide-and-conquer self-consistent field approach: Exact formula and its approximate treatment

    Kobayashi, Masato, Kunisada, Tomotaka, Akama, Tomoko, Sakura, Daisuke, Nakai, Hiromi

    Journal of Chemical Physics   134 ( 3 )  2011  [Refereed]

    DOI

  • 量子化学に基づく原子・分子のシミュレーション

    中井浩巳, 大越昌樹

    日本シミュレーション学会誌「シミュレーション」   30 ( 4 ) 5 - 12  2011

  • 理論化学における理論の革新

    中井浩巳

    「化学のブレークスルー」     159 - 163  2011

  • 炭素原子の電子配置

    中井浩巳

    『炭素学』     19 - 38  2011

  • 巨大分子系の量子化学法

    中井浩巳

    CSJカレントレビュー・シリーズ第8巻「巨大分子系の計算化学-超大型計算機時代の理論化学の新展開」     52 - 60  2011

  • ナノ科学のための分割統治量子化学計算法

    小林正人, 中井浩巳

    ナノ学会会報「次世代スパコン特集」   9 ( 2 ) 85 - 89  2011

  • Theoretical analysis on catalytic activity of metal surfaces on reaction of hypophosphite ion

    M. Kunimoto, H. Nakai, T. Homma

    J. Electrochem. Soc.   80 ( 3 ) 1 - 6  2011

    DOI

  • Reconsidering an analytical gradient expression within a divide-and-conquer self-consistent field approach: Exact formula and its approximate treatment

    Masato Kobayashi, Tomotaka Kunisada, Tomoko Akama, Daisuke Sakura, Hiromi Nakai

    JOURNAL OF CHEMICAL PHYSICS   134 ( 3 ) 34105 1 - 11  2011.01  [Refereed]

     View Summary

    An analytical energy gradient formula for the density-matrix-based linear-scaling divide-and-conquer (DC) self-consistent field (SCF) method was proposed in a previous paper by Yang and Lee (YL) [J. Chem. Phys. 103, 5674 (1995)]. Since the formula by YL does not correspond to the exact gradient of the DC-SCF energy, we derive the exact formula by direct differentiation, which requires solving the coupled-perturbed equations while including the inter-subsystem coupling terms. Next, we present an alternative formula for approximately evaluating the DC-SCF energy gradient, assuming the variational condition for the subsystem density matrices. Numerical assessments confirmed that the DC-SCF energy gradient values obtained by the present formula are in reasonable agreement with the conventional SCF values when adopting a reliable buffer region. Furthermore, the performance of the present method was found to be better than that of the YL method. (C) 2011 American Institute of Physics. [doi:10.1063/1.3524337]

    DOI

  • Interpretation of intermolecular geometric isotope effect in hydrogen bonds: nuclear orbital plus molecular orbital study.

    Ikabata Yasuhiro, Imamura Yutaka, Nakai Hiromi

    The journal of physical chemistry. A   115 ( 8 ) 1433 - 1439  2011

     View Summary

    :The intermolecular geometric isotope effect (GIE) in hydrogen bond A-X···B (X = H and D) is investigated theoretically using the nuclear orbital plus molecular orbital (NOMO) theory. To interpret the GIE in terms of physically meaningful energy components such as electrostatic and exchange-repulsion interactions, the reduced variational space self-consistent-field method is extended to the NOMO scheme. The intermolecular GIE is analyzed as a two-stage process: the intramolecular bond shrinkage and the intermolecular bond elongation. According to the isotopic shifts of energy components described by the NOMO/MP2 method, the intermolecular GIE is approximately interpreted as a process reducing the exchange-repulsion interaction after the decrease of electrostatic interaction.

    DOI

  • DIVIDE-AND-CONQUER APPROACHES TO QUANTUM CHEMISTRY: THEORY AND IMPLEMENTATION

    Kobayashi, Masato, Nakai, Hiromi

    Linear-Scaling Techniques in Computational Chemistry and Physics: Methods and Applications   13   99 - 127  2011  [Refereed]

    DOI

  • Density Functional Theory Analysis of Reaction Mechanism of Hypophosphite Ions on Metal Surfaces

    Masahiro Kunimoto, Takuya Shimada, Shuichi Odagiri, Hiromi Nakai, Takayuki Homma

    JOURNAL OF THE ELECTROCHEMICAL SOCIETY   158 ( 9 ) D585 - D589  2011  [Refereed]

     View Summary

    The elementary steps of the reactions of hypophosphite ions with Cu, Ni, and Pd were calculated theoretically using Density Functional Theory (DFT) to demonstrate the reaction mechanism and gain insight at the molecular level. The elementary steps of these reactions are adsorption, dehydrogenation, and oxidation (hydroxyl base attack). In the adsorption step, hypophosphite ions adsorb onto each surface spontaneously with stabilities in the order of Ni (111) &gt; Pd (111) &gt; Cu (111). In the dehydrogenation step, hypophosphite ions dehydrogenate on Ni (111) and Pd (111) with small reaction barriers, whereas they react on Cu (111) with a large reaction barrier. The large reaction barrier on Cu (111) is not compensated for by the adsorption energy on the surface. In the oxidation step, dehydrogenated anions on each metal surface react spontaneously with the hydroxyl base. The reaction barriers on each metal surface in this step are not so significant compared to the adsorption energies on each surface, suggesting that a reaction barrier of hypophosphite ion oxidation should exist in the dehydrogenation step and only be observed for Cu (111). This proposition elucidates the experimental catalytic behaviors of metal surfaces in the electroless deposition process using hypophosphite ions. (C) 2011 The Electrochemical Society. [DOI: 10.1149/1.3609000] All rights reserved.

    DOI

  • Density functional theory analysis for orbital interaction between hypophosphite ions and metal surfaces

    M. Kunimoto, H. Nakai, T. Homma

    J. Electrochem. Soc.   158 ( 10 ) D626 - D633  2011

    DOI

  • Local response dispersion method. II. Generalized multicenter interactions

    Takeshi Sato, Hiromi Nakai

    JOURNAL OF CHEMICAL PHYSICS   133 ( 19 ) 194101 1 - 9  2010.11  [Refereed]

     View Summary

    Recently introduced local response dispersion method [T. Sato and H. Nakai, J. Chem. Phys. 131, 224104 (2009)], which is a first-principles alternative to empirical dispersion corrections in density functional theory, is implemented with generalized multicenter interactions involving both atomic and atomic pair polarizabilities. The generalization improves the asymptote of intermolecular interactions, reducing the mean absolute percentage error from about 30% to 6% in the molecular C-6 coefficients of more than 1000 dimers, compared to experimental values. The method is also applied to calculations of potential energy curves of molecules in the S22 database [P. Jurecka et al., Phys. Chem. Chem. Phys. 8, 1985 (2006)]. The calculated potential energy curves are in a good agreement with reliable benchmarks recently published by Molnar et al. [J. Chem. Phys. 131, 065102 (2009)]. These improvements are achieved at the price of increasing complexity in the implementation, but without losing the computational efficiency of the previous two-center (atom-atom) formulation. A set of different truncations of two-center and three-or four-center interactions is shown to be optimal in the cost-performance balance. (C) 2010 American Institute of Physics. [doi:10.1063/1.3503040]

    DOI

  • Divide-and-conquer self-consistent field calculation for open-shell systems: Implementation and application

    Masato Kobayashi, Takeshi Yoshikawa, Hiromi Nakai

    CHEMICAL PHYSICS LETTERS   500 ( 1-3 ) 172 - 177  2010.11  [Refereed]

     View Summary

    In this Letter, the divide-and-conquer (DC) linear-scaling self-consistent field method is extended to the spin-unrestricted Hartree-Fock (UHF) method or Kohn-Sham density functional theory (UDFT) for treating large open-shell systems. Although the DC method is one of the fragmentation-based linear-scaling schemes, the present DC-UHF/UDFT framework can avoid specifying the number of up-and down-spin electrons in each fragment by introducing up-and down-spin Fermi levels. Test calculations for oligoth-iophenes demonstrate the high efficiency and accuracy of the DC-UHF/UDFT method even for spin-delocalized systems. (C) 2010 Elsevier B.V. All rights reserved.

    DOI

  • Unusual Energy Balance Between Atoms in Postperovskite MgSiO3

    Hiroshi Hirate, Hiroshi Sawai, Yuki Saito, Hiroshi Yukawa, Masahiko Morinaga, Hiromi Nakai

    JOURNAL OF THE AMERICAN CERAMIC SOCIETY   93 ( 10 ) 3449 - 3454  2010.10  [Refereed]

     View Summary

    To understand the phase transition from perovskite to postperovskite MgSiO3, total energy is partitioned into atomic energy densities of constituent elements in the oxide, using the energy density analysis. The atomization energies, delta E-Mg for Mg atom, delta E-Si for Si atom, and delta E-O for O atom, are then evaluated by subtracting the atomic energy density from the energy of the isolated neutral atom, Mg, Si, and O, respectively. It is found that delta E-Si and delta E-Mg are much larger than delta E-O in the perovskite phase, but delta E-O is much larger than delta E-Si and delta E-Mg in the postperovskite phase. This means that most of the energies partitioned into Mg and Si atoms in the perovskite phase transfer to the O atoms in the postperovskite phase during the transition. Such an extremely stable O-atom state is formed by the introduction of edge-shared SiO6 octahedra into the postperovskite structure. This is because the edge-sharing makes the Si-O interatomic distances longer even in very high pressure conditions. The unusual energy balance between atoms is also seen in the other postperovskite, MgGeO3 and NaMgF3.

    DOI

  • Theoretical Study of Hypervalent Bonds in 1,6-Diaza-1,6-dihydro- and 1,6-Dihydro-1,6-dioxapentalene Systems with a Heteroatom X at 6a Position (X=14-16 Group Atoms)

    Teruo Atsumi, Tomohiro Abe, Kin-ya Akiba, Hiromi Nakai

    BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN   83 ( 8 ) 892 - 899  2010.08  [Refereed]

     View Summary

    The present study theoretically investigated hypervalent bonding systems with the skeleton of pentalene. Geometries and energetics were examined by density functional theory calculations with triple-zeta class basis sets. The bond energies of the O-X and N-X hypervalent three-center four-electron bonds were estimated. Furthermore, the relationships between the bond-switching equilibration reactions and the stabilities of the hypervalent bonding intermediates were examined.

    DOI

  • Generalized Moller-Plesset Partitioning in Multiconfiguration Perturbation Theory

    Masato Kobayashi, Agnes Szabados, Hiromi Nakai, Peter R. Surjan

    JOURNAL OF CHEMICAL THEORY AND COMPUTATION   6 ( 7 ) 2024 - 2033  2010.07  [Refereed]

     View Summary

    Two perturbation (PT) theories are developed starting from a multiconfiguration (MC) zero-order function. To span the configuration space, the theories employ biorthogonal vector sets introduced in the MCPT framework. At odds with previous formulations, the present construction operates with the full Fockian corresponding to a principal determinant, giving rise to a nondiagonal matrix of the zero-order resolvent. The theories provide a simple, generalized Moller-Plesset (MP) second-order correction to improve any reference function, corresponding either to a complete or incomplete model space. Computational demand of the procedure is determined by the iterative inversion of the Fockian, similarly to the single reference MP theory calculated in a localized basis. Relation of the theory to existing multireference (MR) PT formalisms is discussed. The performance of the present theories is assessed by adopting the antisymmetric product of strongly orthogonal geminal (APSG) wave functions as the reference function.

    DOI

  • Theoretical Study of Bond-Switching in 1,6-Dihydro-6a-thia-1,6-diazapentalene (10-S-3) Systems Compared with Corresponding Oxygen Analogues

    Teruo Atsumi, Tomohiro Abe, Kin-ya Akiba, Hiromi Nakai

    BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN   83 ( 5 ) 520 - 529  2010.05  [Refereed]

     View Summary

    Theoretical study of the mechanism of bond-switching of 5-(1-aminoethylimino)-3-methyl-1,2,4-thiadiazole and 5-(2-aminovinyl)isothiazole was carried out by using simplified models of 1,6-dihydro-6a-thia-1,6-diazapentalene (10-S-3) systems and corresponding oxygen analogs. Geometries and energetics were examined along unimolecular and bimolecular reaction paths by hybrid density functional theory (DFT) calculations with triple-zeta class basis sets by taking into account solvent effects which is estimated by the polarizable continuum model. It was clarified that the unimolecular reactions cannot proceed due to the high energy barriers around 70 kcal mol(-1). On the other hand, the bimolecular processes in neutral and acidic conditions can be accomplished for the sulfur compounds, not for the oxygen ones. The differences of the reactivities between the sulfur and oxygen compounds were found to be due to the difference of the stability of the symmetric intermediates with the hypervalent three-center four-electron bonds.

    DOI

  • Application of Real-time Time-dependent Density Functional Theory with the CVB3LYP Functional to Core Excitations

    Tomoko Akama, Yutaka Imamura, Hiromi Nakai

    CHEMISTRY LETTERS   39 ( 4 ) 407 - 409  2010.04

     View Summary

    The CVB3LYP functional, which has been developed for evaluating both core and valence excitation energies with high accuracy, is applied to real-time time-dependent density functional theory (RT-TDDFT) calculations. The core excitation energies from the Is orbitals of several second-row atoms obtained by RT-TDDFT with the CVB3LYP functional were demonstrated and compared with those of the frequency-domain TDDFT.

    DOI

  • Acceleration of self-consistent-field convergence in ab initio molecular dynamics and Monte Carlo simulations and geometry optimization

    Teruo Atsumi, Hiromi Nakai

    CHEMICAL PHYSICS LETTERS   490 ( 1-3 ) 102 - 108  2010.04  [Refereed]

     View Summary

    We propose a novel acceleration method for self-consistent-field calculations in direct ab initio molecular dynamics/Monte Carlo (AIMD/AIMC) simulations and geometry optimization. This acceleration method, so-called LSMO, predicts an initial guess of molecular orbitals (MOs) for the next simulation step by using the geometric information with the least-squares technique. Numerical tests confirm that the LSMO method is both effective and feasible in the AIMD/AIMC simulations and geometry optimization. (C) 2010 Elsevier B.V. All rights reserved.

    DOI

  • Extension of energy density analysis to periodic-boundary-condition calculations with plane-wave basis functions

    Yutaka Imamura, Asuka Takahashi, Takeshi Okada, Takahisa Ohno, Hiromi Nakai

    PHYSICAL REVIEW B   81 ( 11 ) 115136 1 - 7  2010.03  [Refereed]

     View Summary

    Energy density analysis (EDA), which partitions the total energy of a molecular system into atomic contributions, has been extended to periodic-boundary-condition calculations carried out by density-functional theory using plane-wave (PW) basis functions and pseudopotentials. The present analysis method, called PW-EDA, allows us to extract local-energy information by estimating atomic energy contributions. Numerical applications to an isolated molecule H2O and the adsorption of C2H2 on the Si(001)-(2x1) surface confirm the reliability and usefulness of PW-EDA.

    DOI

  • Short-time Fourier transform analysis of real-time time-dependent Hartree-Fock and time-dependent density functional theory calculations with Gaussian basis functions

    Tomoko Akama, Hiromi Nakai

    JOURNAL OF CHEMICAL PHYSICS   132 ( 5 ) 054104 1 - 11  2010.02  [Refereed]

     View Summary

    We propose a novel analysis of real-time (RT) time-dependent Hartree-Fock and time-dependent density functional theory (TDHF/TDDFT) calculations using a short-time Fourier transform (STFT) technique. RT-TDHF/TDDFT calculations of model dimers were carried out and analyzed using the STFT technique, in addition to the usual Fourier transform (FT). STFT analysis revealed that the induced polarization propagated between the molecules through the intermolecular interaction; that is, it directly showed the electron dynamics of the excited system. The dependence of the propagation period on the intermolecular distance of the dimer was investigated. We also proved the possibility of describing, not just the valence, but also the core excitations by FT analysis of the RT-TDHF/TDDFT calculations of a formaldehyde monomer with Gaussian basis functions compared with conventional TDHF/TDDFT results. (c) 2010 American Institute of Physics. [doi:10.1063/1.3300127]

    DOI

  • Local response dispersion method. II. Generalized multicenter interactions.

    Sato Takeshi, Nakai Hiromi

    Local response dispersion method. II. Generalized multicenter interactions.   133 ( 19 )  2010

     View Summary

    :Recently introduced local response dispersion method [T. Sato and H. Nakai, J. Chem. Phys. 131, 224104 (2009)], which is a first-principles alternative to empirical dispersion corrections in density functional theory, is implemented with generalized multicenter interactions involving both atomic and atomic pair polarizabilities. The generalization improves the asymptote of intermolecular interactions, reducing the mean absolute percentage error from about 30% to 6% in the molecular C(6) coefficients of more than 1000 dimers, compared to experimental values. The method is also applied to calculations of potential energy curves of molecules in the S22 database [P. Jurečka et al., Phys. Chem. Chem. Phys. 8, 1985 (2006)]. The calculated potential energy curves are in a good agreement with reliable benchmarks recently published by Molnar et al. [J. Chem. Phys. 131, 065102 (2009)]. These improvements are achieved at the price of increasing complexity in the implementation, but without losing the computational efficiency of the previous two-center (atom-atom) formulation. A set of different truncations of two-center and three- or four-center interactions is shown to be optimal in the cost-performance balance.

    DOI

  • Short-time Fourier transform analysis of real-time time-dependent Hartree-Fock and time-dependent density functional theory calculations with Gaussian basis functions.

    Akama Tomoko, Nakai Hiromi

    Short-time Fourier transform analysis of real-time time-dependent Hartree-Fock and time-dependent density functional theory calculations with Gaussian basis functions.   132 ( 5 )  2010

     View Summary

    :We propose a novel analysis of real-time (RT) time-dependent Hartree-Fock and time-dependent density functional theory (TDHF/TDDFT) calculations using a short-time Fourier transform (STFT) technique. RT-TDHF/TDDFT calculations of model dimers were carried out and analyzed using the STFT technique, in addition to the usual Fourier transform (FT). STFT analysis revealed that the induced polarization propagated between the molecules through the intermolecular interaction; that is, it directly showed the electron dynamics of the excited system. The dependence of the propagation period on the intermolecular distance of the dimer was investigated. We also proved the possibility of describing, not just the valence, but also the core excitations by FT analysis of the RT-TDHF/TDDFT calculations of a formaldehyde monomer with Gaussian basis functions compared with conventional TDHF/TDDFT results.

    DOI

  • Local response dispersion method. II. Generalized multicenter interactions

    Sato, Takeshi, Nakai, Hiromi

    Journal of Chemical Physics   133 ( 19 )  2010  [Refereed]

    DOI

  • Divide-and-conquer self-consistent field calculation for open-shell systems: Implementation and application

    Kobayashi, Masato, Yoshikawa, Takeshi, Nakai, Hiromi

    Chemical Physics Letters   500 ( 1-3 ) 172 - 177  2010  [Refereed]

    DOI

  • Unusual Energy Balance Between Atoms in Postperovskite MgSiO3

    Hirate, Hiroshi, Sawai, Hiroshi, Saito, Yuki, Yukawa, Hiroshi, Morinaga, Masahiko, Nakai, Hiromi

    Journal of the American Ceramic Society   93 ( 10 ) 3449 - 3454  2010  [Refereed]

    DOI

  • Theoretical Study of Hypervalent Bonds in 1,6-Diaza-1,6-dihydro- and 1,6-Dihydro-1,6-dioxapentalene Systems with a Heteroatom X at 6a Position (X=14-16 Group Atoms)

    Atsumi, Teruo, Abe, Tomohiro, Akiba, Kin-ya, Nakai, Hiromi

    Bulletin of the Chemical Society of Japan   83 ( 8 ) 892 - 899  2010  [Refereed]

    DOI

  • Theoretical Study of Bond-Switching in 1,6-Dihydro-6a-thia-1,6-diazapentalene (10-S-3) Systems Compared with Corresponding Oxygen Analogues

    Atsumi, Teruo, Abe, Tomohiro, Akiba, Kin-ya, Nakai, Hiromi

    Bulletin of the Chemical Society of Japan   83 ( 5 ) 520 - 529  2010  [Refereed]

    DOI

  • Observation by UV-Visible and NMR Spectroscopy and Theoretical Confirmation of 4-Isopropyltropolonate Ion, 4-Isopropyltropolone (Hinokitiol), and Protonated 4-Isopropyltropolone in Acetonitrile

    Hojo, Masashi, Ueda, Tadaharu, Ike, Michitaka, Okamura, Kei, Sugiyama, Taku, Kobayashi, Masato, Nakai, Hiromi

    Journal of Chemical and Engineering Data   55 ( 5 ) 1986 - 1989  2010  [Refereed]

    DOI

  • Application of Real-time Time-dependent Density Functional Theory with the CVB3LYP Functional to Core Excitations

    Akama, Tomoko, Imamura, Yutaka, Nakai, Hiromi

    Chemistry Letters   39 ( 4 ) 407 - 409  2010  [Refereed]

    DOI

  • Acceleration of self-consistent-field convergence in ab initio molecular dynamics and Monte Carlo simulations and geometry optimization

    Atsumi, Teruo, Nakai, Hiromi

    Chemical Physics Letters   490 ( 1-3 ) 102 - 108  2010  [Refereed]

    DOI

  • Extension of energy density analysis to periodic-boundary-condition calculations with plane-wave basis functions

    Imamura, Yutaka, Takahashi, Asuka, Okada, Takeshi, Ohno, Takahisa, Nakai, Hiromi

    Physical Review B   81 ( 11 )  2010  [Refereed]

    DOI

  • Short-time Fourier transform analysis of real-time time-dependent Hartree-Fock and time-dependent density functional theory calculations with Gaussian basis functions

    Akama, Tomoko, Nakai, Hiromi

    Journal of Chemical Physics   132 ( 5 )  2010  [Refereed]

    DOI

  • Time-dependent Hartree-Fock frequency-dependent polarizability calculation applied to divide-and-conquer electronic structure method

    Touma, Tsuguki, Kobayashi, Masato, Nakai, Hiromi

    Chemical Physics Letters   485 ( 1-3 ) 247 - 252  2010  [Refereed]

    DOI

  • 理論化学における理論の革新

    中井浩巳

    別冊化学「化学のブレークスルー【理論化学編】」     66 - 72  2010

  • Time-dependent Hartree-Fock frequency-dependent polarizability calculation applied to divide-and-conquer electronic structure method

    T. Touma, M. Kobayashi, H. Nakai

    Chem. Phys. Lett.   485 ( 1〜3 ) 247 - 252  2010

    DOI

  • Generalized Moller-Plesset Partitioning in Multiconfiguration Perturbation Theory

    Kobayashi, Masato, Szabados, Agnes, Nakai, Hiromi, Surjan, Peter R.

    Journal of Chemical Theory and Computation   6 ( 7 ) 2024 - 2033  2010  [Refereed]

    DOI

  • 化学の領域を広げる巨大分子の電子状態計算

    小林正人, 中井浩巳

    月刊「化学」   64 ( 1 ) 12 - 16  2009

  • 化学の領域を広げる巨大分子の電子状態計算

    小林正人, 中井浩巳

    化学   64 ( 1 ) 38 - 42  2009

  • インシリコ・ケミストリー〜高性能量子化学計算環境の構築〜

    中井浩巳

    早稲田産学連携レビュー2009     76 - 77  2009

  • UV-visible, H-1 and C-13 NMR spectroscopic studies on the interaction between protons or alkaline earth metal ions and the benzoate ion in acetonitrile

    Hojo, Masashi, Ueda, Tadaharu, Ike, Michitaka, Kobayashi, Masato, Nakai, Hiromi

    Journal of Molecular Liquids   145 ( 3 ) 152 - 157  2009  [Refereed]

    DOI

  • Rules for Excited States of Degenerate Systems: Interpretation by Frozen Orbital Analysis

    Nakai, Hiromi

    Advances in the Theory of Atomic and Molecular Systems: Conceptual and Computational Advances in Quantum Chemistry   19   363 - 395  2009  [Refereed]

    DOI

  • Quantitative Approach to the Understanding of Catalytic Effect of Metal Oxides on the Desorption Reaction of MgH2

    Hirate, H., Saito, Y., Nakaya, I., Sawai, H., Shinzato, Y., Yukawa, H., Morinaga, M., Baba, T., Nakai, H.

    International Journal of Quantum Chemistry   109 ( 12 ) 2793 - 2800  2009  [Refereed]

    DOI

  • One-Body Energy Decomposition Schemes Revisited: Assessment of Mulliken-, Grid-, and Conventional Energy Density Analyses

    Kikuchi, Yasuaki, Imamura, Yutaka, Nakai, Hiromi

    International Journal of Quantum Chemistry   109 ( 11 ) 2464 - 2473  2009  [Refereed]

    DOI

  • Observation by UV-visible and NMR spectroscopy and theoretical confirmation of 4-isopropyltropolonate ion, 4-isopropyltropolone (hinokitiol), and protonated 4-isopropyltropolone in acetonitrile

    M. Hojo, T. Ueda, M. Ike, K. Okamura, T. Sugiyama, M. Kobayashi, H. Nakai

    J. Chem. Eng. Data   55 ( 5 ) 1986 - 1989  2009

    DOI

  • Implementation of divide-and-conquer (DC) electronic structure code to GAMESS program package

    M. Kobayashi, T. Akama, H. Nakai

    J. Comput. Chem. Jpn.   8 ( 1 ) 1 - 12  2009

    DOI

  • Extension of Frozen-orbital Analysis to the Tamm-Dancoff Approximation to Time-dependent Density Functional Theory

    Imamura, Yutaka, Baba, Takeshi, Nakai, Hiromi

    Chemistry Letters   38 ( 6 ) 528 - 529  2009  [Refereed]

    DOI

  • Extension of Density Functional Theory to Nuclear Orbital plus Molecular Orbital Theory: Self-Consistent Field Calculations with the Colle-Salvetti Electron-Nucleus Correlation Functional

    Imamura, Yutaka, Tsukamoto, Yasuhiro, Kiryu, Hiroyoshi, Nakai, Hiromi

    Bulletin of the Chemical Society of Japan   82 ( 9 ) 1133 - 1139  2009  [Refereed]

    DOI

  • Electronic Temperature in Divide-and-Conquer Electronic Structure Calculation Revisited: Assessment and Improvement of Self-Consistent Field Convergence

    Akama, Tomoko, Kobayashi, Masato, Nakai, Hiromi

    International Journal of Quantum Chemistry   109 ( 12 ) 2706 - 2713  2009  [Refereed]

    DOI

  • Dual-Level Hierarchical Scheme for Linear-Scaling Divide-and-Conquer Correlation Theory

    Kobayashi, Masato, Nakai, Hiromi

    International Journal of Quantum Chemistry   109 ( 10 ) 2227 - 2237  2009  [Refereed]

    DOI

  • Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations

    Kobayashi, Masato, Nakai, Hiromi

    Journal of Chemical Physics   131 ( 11 ) 114108 1 - 9  2009  [Refereed]

    DOI

  • Density Functional Study on Core Ionization Spectra of Cytidine and Its Fragments

    Thompson, Alexander, Saha, Saumitra, Wang, Feng, Tsuchimochi, Takashi, Nakata, Ayako, Imamura, Yutaka, Nakai, Hiromi

    Bulletin of the Chemical Society of Japan   82 ( 2 ) 187 - 195  2009  [Refereed]

    DOI

  • Density functional method including weak interactions: Dispersion coefficients based on the local response approximation

    Sato, Takeshi, Nakai, Hiromi

    Journal of Chemical Physics   131 ( 22 ) 224104 1 - 12  2009  [Refereed]

    DOI

  • 分割統治法に基づく線形スケーリング手法の開発

    中井浩巳, 赤間知子, 小林正人

    Bull. Soc. Discrete Var. Xα   21 ( 1,2 ) 47 - 54  2008

  • メソ物質設計のための線形スケーリング量子化学計算

    中井浩巳

    化学と工業   61 ( 10 ) 961  2008

  • エネルギー密度解析による表面モデルの検証および触媒作用の解明

    中井浩巳, 菊池那明, 今村穣

    触媒   50 ( 7 ) 601 - 607  2008

  • New expression of the chemical bond in hydrides using atomization energies

    Shinzato, Yoshifumi, Yukawa, Hiroshi, Morinaga, Masahiko, Baba, Takeshi, Nakai, Hiromi

    Advances in Quantum Chemistry, Vol 54   54   145 - 160  2008  [Refereed]

    DOI

  • Natural bond orbital-based energy density analysis for correlated methods: Second-order Moller-Plesset perturbation and coupled-cluster singles and doubles

    Imamura, Yutaka, Baba, Takeshi, Nakai, Hiromi

    International Journal of Quantum Chemistry   108 ( 8 ) 1316 - 1325  2008  [Refereed]

    DOI

  • Molecular orbital propagation to accelerate self-consistent-field convergence in an ab initio molecular dynamics simulation

    Atsumi, Teruo, Nakai, Hiromi

    Journal of Chemical Physics   128 ( 9 ) 094101 1 - 9  2008  [Refereed]

    DOI

  • Extension of linear-scaling divide-and-conquer-based correlation method to coupled cluster theory with singles and doubles excitations

    Kobayashi, Masato, Nakai, Hiromi

    Journal of Chemical Physics   129 ( 4 ) 044103 1 - 9  2008  [Refereed]

    DOI

  • Estimation of redox potential of strained Si by density functional theory calculation

    Sakata, Kaoruho, Ishizaki, Shoji, Nakai, Hiromi, Homma, Takayuki

    Journal of Physical Chemistry C   112 ( 10 ) 3538 - 3542  2008  [Refereed]

    DOI

  • Energy density analysis for second-order Moller-Plesset perturbation theory and coupled-cluster theory with singles and doubles: Application to C2H4-CH4 complexes

    Imamura, Yutaka, Nakai, Hiromi

    Journal of Computational Chemistry   29 ( 10 ) 1555 - 1563  2008  [Refereed]

    DOI

  • Discovery of hexacoordinate hypervalent carbon compounds: Density functional study

    Kikuchi, Yasuaki, Ishii, Motoki, Akiba, Kin-ya, Nakai, Hiromi

    Chemical Physics Letters   460 ( 1-3 ) 37 - 41  2008  [Refereed]

    DOI

  • Development of linear scaling techniques based on divide-and-conquer method

    H. Nakai, T. Akama, M. Kobayashi

    Bull. Soc. Discrete Variational Xα   21 ( 1,2 ) 47 - 54  2008

  • Determination of active sites based on unified analysis of potential energy profile in chemical reaction: Application to C-H activation of methane by Ti(IV)-imido complex

    Nakai, Hiromi, Suzuki, Jun, Kikuchi, Yasuaki

    Chemical Physics Letters   460 ( 1-3 ) 347 - 351  2008  [Refereed]

    DOI

  • Colle-Salvetti-type correction for electron-nucleus correlation in the nuclear orbital plus molecular orbital theory

    Imamura, Yutaka, Kiryu, Hiroyoshi, Nakai, Hiromi

    Journal of Computational Chemistry   29 ( 5 ) 735 - 740  2008  [Refereed]

    DOI

  • Application of the Sakurai-Sugiura projection method to core-excited-state calculation by time-dependent density functional theory

    Tsuchimochi, Takashi, Kobayashi, Masato, Nakata, Ayako, Imamura, Yutaka, Nakai, Hiromi

    Journal of Computational Chemistry   29 ( 14 ) 2311 - 2316  2008  [Refereed]

    DOI

  • Analysis on excitation of molecules with I-h symmetry: Frozen orbital analysis and general rules

    Baba, Takeshi, Imamura, Yutaka, Okamoto, Munehiko, Nakai, Hiromi

    Chemistry Letters   37 ( 3 ) 322 - 323  2008  [Refereed]

    DOI

  • 2H- And13C-labelling studies on skeletal reorganization of 1,6-enynes

    Hiromi Nakai, Naoto Chatani

    Chemistry Letters   36 ( 12 ) 1494 - 1495  2007.12  [Refereed]

     View Summary

    2H- and 13C-labelling studies on skeletal reorganization of 1,6-enynes having a terminal alkyne moiety have been performed with various catalysts. The products are 1-vinylcyclopentenes, but two possible isomers, type I and II products, can be formed. The formation of type I involves the cleavage of the original C-C double bonds and migration of the terminal alkene carbon atom to the terminus of the alkyne. On the other hand, the formation of type II involves a double cleavage of the C-C double bond and the C-C triple bond, which is an anomalous bond connection. The product ratio is affected by the nature of the catalyst used. Type II is obtained as a major isomer in the case of late transition metal halides. On the other hand, the type I product forms exclusively in the presence of a typical element halide, such as InCl3. Copyright © 2007 The Chemical Society of Japan.

    DOI

  • Description of core excitations by time-dependent density functional theory with local density approximation, generalized gradient approximation, meta-generalized gradient approximation, and hybrid functionals

    Imamura, Yutaka, Otsuka, Takao, Nakai, Hiromi

    Journal of Computational Chemistry   28 ( 12 )  2007  [Refereed]

    DOI

  • 表面-分子相互作用系の量子化学計算に関する最近の動向

    中井浩巳

    表面科学   28 ( 3 ) 150 - 159  2007

  • 原子核と電子の波動関数を同時に決定するためのnon-Born-Oppenheimer理論:NOMO理論

    中井浩巳, 星野稔

    Mol. Sci. (分子科学)   1   A0010 1 - 22  2007

  • Wavelet transform analysis of ab initio molecular dynamics simulation: Application to core-excitation dynamics of BF3

    Otsuka, Takao, Nakai, Hiron

    Journal of Computational Chemistry   28 ( 6 ) 1137 - 1144  2007  [Refereed]

    DOI

  • UV-visible and H-1 or C-13 NMR spectroscopic studies on the specific interaction between lithium ions and the anion from tropolone or 4-isopropyltropolone (Hinokitiol) and on the formation of protonated tropolones in acetonitrile or other solvents

    Hojo, Masashi, Ueda, Tadaharu, Inoue, Tomonori, Ike, Michitaka, Kobayashi, Masato, Nakai, Hiromi

    Journal of Physical Chemistry B   111 ( 7 ) 1759 - 1768  2007  [Refereed]

    DOI

  • Theoretical determination of hypervalent bond energy of 10-S-3 sulfurane derivatives

    Yamauchi, Yusuke, Akiba, Kin-ya, Nakai, Hiromi

    Chemistry Letters   36 ( 9 ) 1120 - 1121  2007  [Refereed]

    DOI

  • Theoretical design of monofunctional psoralen compounds in photochemotherapy

    Nakata, Avako, Baba, Takeshi, Nakai, Hiromi

    Bulletin of the Chemical Society of Japan   80 ( 7 ) 1341 - 1349  2007  [Refereed]

    DOI

  • Nuclear orbital plus molecular orbital theory: Simultaneous determination of nuclear and electronic wave functions without Born-Oppenheimer approximation

    Nakai, Hiromi

    International Journal of Quantum Chemistry   107 ( 14 ) 2849 - 2869  2007  [Refereed]

    DOI

  • New expression of the chemical bond in perovskite-type oxides

    Shinzato, Yoshifumi, Saito, Yuki, Yukawa, Hiroshi, Morinaga, Masahiko, Baba, Takeshi, Nakai, Hiromi

    Pricm 6: Sixth Pacific Rim International Conference on Advanced Materials and Processing, Pts 1-3   561-565 ( PRICM 6 ) 1823 - 1826  2007  [Refereed]

    DOI

  • Molecular orbital study on the oxidation mechanism of hydrazine and hydroxylamine as reducing agents for electroless deposition process

    Shimada, Takuya, Tamaki, Amiko, Nakai, Hiromi, Homma, Takayuki

    Electrochemistry   75 ( 1 ) 45 - 49  2007  [Refereed]

  • Isotope effect in dihydrogen-bonded systems: application of the analytical energy gradient method in the nuclear orbital plus molecular orbital theory

    Nakai, Hiromi, Ikabata, Yasuhiro, Tsukamoto, Yasuhiro, Imamura, Yutaka, Miyamoto, Kaito, Hoshino, Minoru

    Molecular Physics   105 ( 19-22 ) 2649 - 2657  2007  [Refereed]

    DOI

  • Is the divide-and-conquer Hartree-Fock method valid for calculations of delocalized systems?

    Akama, Tomoko, Fujii, Atsuhiko, Kobayashi, Masato, Nakai, Hiromi

    Molecular Physics   105 ( 19-22 ) 2799 - 2804  2007  [Refereed]

    DOI

  • Implementation of divide-and-conquer method including Hartree-Fock exchange interaction

    Akama, Tomoko, Kobayashi, Masato, Nakai, Hiromi

    Journal of Computational Chemistry   28 ( 12 ) 2003 - 2012  2007  [Refereed]

    DOI

  • Extension of the core-valence-rydberg B3LYP functional to core-excited-state calculations of third-row atoms

    Nakata, Ayako, Imamura, Yutaka, Nakai, Hiromi

    Journal of Chemical Theory and Computation   3 ( 4 ) 1295 - 1305  2007  [Refereed]

    DOI

  • Extension of energy density analysis to periodic boundary condition calculation: Evaluation of locality in extended systems

    Nakai, Hiromi, Kurabayashi, Yuji, Katouda, Michio, Atsumi, Teruo

    Chemical Physics Letters   438 ( 1-3 ) 132 - 138  2007  [Refereed]

    DOI

  • Energy density analysis of the chemical bond between atoms in perovskite-type hydrides

    Shinzato, Yoshifumi, Yukawa, Hiroshi, Morinaga, Masahiko, Baba, Takeshi, Nakai, Hiromi

    Journal of Alloys and Compounds   446   96 - 100  2007  [Refereed]

    DOI

  • Development of analytic energy gradient method in nuclear orbital plus molecular orbital theory

    Hoshino, Minoru, Tsukamoto, Yasuhiro, Nakai, Hiromi

    International Journal of Quantum Chemistry   107 ( 14 ) 2575 - 2585  2007  [Refereed]

    DOI

  • Description of Core Excitations by Time-Dependent Density Functional Theory with LDA, GGA, Meta-GGA, and Hybrid Functionals

    Y. Imamura, T. Otsuka, H. Nakai

    J. Comput. Chem.   28 ( 12 ) 2067 - 2074  2007

    DOI

  • Density functional theory study on the reaction mechanism of reductants for electroless Ag deposition process

    Shimada, Takuya, Nakai, Hiromi, Homma, Takayuki

    Journal of the Electrochemical Society   154 ( 4 ) D273 - D276  2007  [Refereed]

    DOI

  • Application of bond energy density analysis (Bond-EDA) to Diels-Alder reaction

    Baba, Takeshi, Ishii, Motoki, Kikuchi, Yasualki, Nakai, Hiromi

    Chemistry Letters   36 ( 5 ) 616 - 617  2007  [Refereed]

    DOI

  • Alternative linear-scaling methodology for the second-order Moller-Plesset perturbation calculation based on the divide-and-conquer method

    Kobayashi, Masato, Imamura, Yutaka, Nakai, Hiromi

    Journal of Chemical Physics   127 ( 7 ) 074103 1 - 8  2007  [Refereed]

    DOI

  • Ab initio molecular dynamics simulation of the energy-relaxation process of the protonated water dimer

    Yamauchi, Yusuke, Ozawa, Shiho, Nakai, Hiromi

    Journal of Physical Chemistry a   111 ( 11 ) 2062 - 2066  2007  [Refereed]

    DOI

  • A unified approach to the analysis of the chemical bond in hydrides and hydrocarbons

    Shinzato, Yoshifumi, Yukawa, Hiroshi, Morinaga, Masahiko, Baba, Takeshi, Nakai, Hiromi

    Acta Materialia   55 ( 20 ) 6673 - 6680  2007  [Refereed]

    DOI

  • Grid-based energy density analysis: Implementation and assessment

    Imamura, Yutaka, Takahashi, Asuka, Nakai, Hiromi

    Journal of Chemical Physics   126 ( 3 ) 034103 1 - 10  2007  [Refereed]

    DOI

  • Analysis of self-interaction correction for describing core excited states

    Imamura, Yutaka, Nakai, Hiromi

    International Journal of Quantum Chemistry   107 ( 1 ) 23 - 29  2007  [Refereed]

    DOI

  • Hybrid treatment combining the translation- and rotation-free nuclear orbital plus molecular orbital theory with generator coordinate method: TRF-NOMO/GCM

    Sodeyama, Keitaro, Nishizawa, Hiroaki, Hoshino, Minoru, Kobayashi, Masato, Nakai, Hiromi

    Chemical Physics Letters   433 ( 4-6 ) 409 - 415  2007  [Refereed]

    DOI

  • Collision reactions between CN and C2H2: Short-time Fourier transform analysis of AIMD simulation

    Tamaoki, Mari, Sakura, Daisuke, Yamauchi, Yusuke, Nakai, Hiromi

    Astrochemistry: From Laboratory Studies to Astronomical Observations   855  2006  [Refereed]

  • Periodic-boundary-condition calculation using Heyd-Scuseria-Ernzerhof screened Coulomb hybrid functional: Electronic structure of anatase and rutile TiO&lt;SUB&gt;2&lt;/SUB&gt;

    H. Nakai, J. Heyd, G. E. Scuseria

    J. Comput. Chem. Jpn.   5 ( 1 ) 7 - 18  2006.01

  • Time-dependent density functional theory (TDDFT) calculations for core-excited states: Assessment of an exchange functional combining the Becke88 and van Leeuwen-Baerends-type functionals

    Imamura, Y, Nakai, H

    Chemical Physics Letters   419 ( 1-3 ) 297 - 303  2006  [Refereed]

    DOI

  • Time-dependent density functional theory calculations for core-excited states: Assessment of standard exchange-correlation functionals and development of a novel hybrid functional

    Nakata, A, Imamura, Y, Otsuka, T, Nakai, H

    Journal of Chemical Physics   124 ( 9 ) 094105 1 - 9  2006  [Refereed]

    DOI

  • Implementation of Surjan's density matrix formulae for calculating second-order Moller-Plesset energy

    Kobayashi, M, Nakai, H

    Chemical Physics Letters   420 ( 1-3 ) 250 - 255  2006  [Refereed]

    DOI

  • Non-Born-Oppenheimer effects predicted by translation-free nuclear orbital plus molecular orbital method

    Sodeyama, K, Miyamoto, K, Nakai, H

    Chemical Physics Letters   421 ( 1-3 ) 72 - 76  2006  [Refereed]

    DOI

  • Elimination of translational and rotational motions in nuclear orbital plus molecular orbital theory: Application of Moller-Plesset perturbation theory

    Hoshino, M, Nakai, H

    Journal of Chemical Physics   124 ( 19 ) 194110 1 - 10  2006  [Refereed]

    DOI

  • Natural atomic orbital based energy density analysis: Implementation and applications

    Baba, T, Takeuchi, M, Nakai, H

    Chemical Physics Letters   424 ( 1-3 ) 193 - 198  2006  [Refereed]

    DOI

  • Energy density analysis of cluster size dependence of surface-molecule interactions (II): Formate adsorption onto a Cu(111) surface

    Nakai, H, Kikuchi, Y

    Journal of Computational Chemistry   27 ( 8 ) 917 - 925  2006  [Refereed]

    DOI

  • Hybrid exchange-correlation functional for core, valence, and Rydberg excitations: Core-valence-Rydberg B3LYP

    Nakata, Ayako, Imamura, Yutaka, Nakai, Hiromi

    Journal of Chemical Physics   125 ( 6 ) 064109 1 - 9  2006  [Refereed]

    DOI

  • Second-order Moller-Plesset perturbation energy obtained from divide-and-conquer Hartree-Fock density matrix

    Kobayashi, Masato, Akama, Tomoko, Nakai, Hiromi

    Journal of Chemical Physics   125 ( 20 ) 204106 1 - 8  2006  [Refereed]

    DOI

  • Elimination of translational and rotational motions in nuclear orbital plus molecular orbital theory: Contribution of the first-order rovibration coupling

    Miyamoto, Kaito, Hoshino, Minoru, Nakai, Hiromi

    Journal of Chemical Theory and Computation   2 ( 6 ) 1544 - 1550  2006  [Refereed]

    DOI

  • Energy Density Analysis of Kohn-Sham DFT Method and Its Applications

    T. Baba, Y. Yamauchi, Y. Kikuchi, Y. Kurabayashi, H. Nakai

    Bull. Soc. Discrete Variational Xα.   18 ( 1 ) 7 - 19  2005.12

  • Isotope effects in the reaction of H+(H2O)2/D+(D2O)2 with acetone/dimethylsulfoxide

    Y. Kawai, Y. Okada, S. Yamaguchi, K. Takeuchi, Y. Yamauchi, H. Nakai

    J. Mass Spectrom. Soc. Jpn.   53 ( 6 ) 305 - 308  2005

    DOI

  • Theoretical study on excitation dynamics of 5-dibenzosuberene and its derivatives

    Nakai, H, Baba, T

    Journal of Molecular Structure   735   211 - 216  2005  [Refereed]

    DOI

  • Practical performance assessment of accompanying coordinate expansion recurrence relation algorithm for computation of electron repulsion integrals

    Katouda, M, Kobayashi, M, Nakai, H, Nagase, S

    Journal of Theoretical &amp; Computational Chemistry   4 ( 1 ) 139 - 149  2005  [Refereed]

    DOI

  • Extension of energy density analysis to treating chemical bonds in molecules

    Nakai, H, Kikuchi, Y

    Journal of Theoretical &amp; Computational Chemistry   4 ( 1 ) 317 - 332  2005  [Refereed]

    DOI

  • Short-time Fourier transform analysis of ab initio molecular dynamics simulation: Collision reaction between CN and C4H6

    Tamaoki, M, Yamauchi, Y, Nakai, H

    Journal of Computational Chemistry   26 ( 5 ) 436 - 442  2005  [Refereed]

    DOI

  • Elimination of translational and rotational motions in nuclear orbital plus molecular orbital theory

    Nakai, H, Hoshino, M, Miyamoto, K, Hyodo, S

    Journal of Chemical Physics   122 ( 16 ) 16101 1 - 10  2005  [Refereed]

    DOI

  • Principal component analysis with energy density of Calophyllum coumarins

    Takeuchi, M, Nakata, A, Nakai, H

    Chemistry Letters   34 ( 6 ) 844 - 845  2005  [Refereed]

    DOI

  • Hybrid approach for ab initio molecular dynamics simulation combining energy density analysis and short-time Fourier transform: Energy transfer spectrogram

    Yamauchi, Y, Nakai, H

    Journal of Chemical Physics   123 ( 3 ) 034101 1 - 9  2005  [Refereed]

    DOI

  • Energy density analysis of embedded cluster models for an MgO crystal

    Kawamura, Y, Nakai, H

    Chemical Physics Letters   410 ( 1-3 ) 64 - 69  2005  [Refereed]

    DOI

  • Synthesis of the pivalamidate-bridged pentanuclear platinum(II,III) linear complexes with Pt center dot center dot center dot Pt interactions

    Matsumoto, K, Arai, S, Ochiai, M, Chen, WZ, Nakata, A, Nakai, H, Kinoshita, S

    Inorganic Chemistry   44 ( 23 ) 8552 - 8560  2005  [Refereed]

    DOI

  • Density functional theory study on the oxidation mechanisms of aldehydes as reductants for electroless Cu deposition process

    Shimada, T, Sakata, K, Homma, T, Nakai, H, Osaka, T

    Electrochimica Acta   51 ( 5 ) 906 - 915  2005  [Refereed]

    DOI

  • Characterization of strained Si wafer surface by density functional theory analysis

    Sakata, K, Homma, T, Nakai, H, Osaka, T

    Electrochimica Acta   51 ( 5 ) 1000 - 1003  2005  [Refereed]

    DOI

  • Reply to &quot;Comment on 'Elimination of translational and rotational motions in nuclear orbital plus molecular orbital theory' &quot; [J. Chem. Phys. 123, 237101 (2005)]

    Nakai, H, Hoshino, M, Miyamoto, K, Hyodo, S

    Journal of Chemical Physics   123 ( 23 ) 237102  2005  [Refereed]

    DOI

  • Theoretical study on the excited states of psoralen compounds bonded to a thymine residue (vol 25, pg 179, 2003)

    Nakata, A, Baba, T, Takahashi, H, Nakai, H

    Journal of Computational Chemistry   25 ( 3 ) 460 - 460  2004  [Refereed]

    DOI

  • Theoretical study on the excited states of psoralen compounds bonded to a thymine residue

    Nakata, A, Baba, T, Takahashi, H, Nakai, H

    Journal of Computational Chemistry   25 ( 2 ) 179 - 188  2004  [Refereed]

    DOI

  • New algorithm for the rapid evaluation of electron repulsion integrals: elementary basis algorithm

    Nakai, H, Kobayashi, M

    Chemical Physics Letters   388 ( 1-3 ) 50 - 54  2004  [Refereed]

    DOI

  • Ab initio molecular orbital study of the electron emission mechanism of TiCl3 as a reductant for an electroless deposition process

    Shimada, T, Komatsu, I, Homma, T, Nakai, H, Osaka, T

    Electrochemistry   72 ( 6 ) 462 - 465  2004  [Refereed]

  • New recurrence relations for the rapid evaluation of electron repulsion integrals based on the accompanying coordinate expansion formula

    Kobayashi, M, Nakai, H

    Journal of Chemical Physics   121 ( 9 ) 4050 - 4058  2004  [Refereed]

    DOI

  • Energy density analysis of cluster size dependence of surface-molecule interactions: H-2, C2H2, C2H4, and CO adsorption onto Si(100)-(2x1) surface

    Nakai, H, Katouda, M, Kawamura, Y

    Journal of Chemical Physics   121 ( 10 ) 4893 - 4900  2004  [Refereed]

    DOI

  • A hybrid approach combining energy density analysis with the interaction energy decomposition method

    Kawamura, Y, Nakai, H

    Journal of Computational Chemistry   25 ( 15 ) 1882 - 1887  2004  [Refereed]

    DOI

  • Short-time Fourier transform analysis of ab initio molecular dynamics simulation: Collision reaction between NH4+(NH3)(2) and NH3

    Yamauchi, Y, Nakai, H, Okada, Y

    Journal of Chemical Physics   121 ( 22 ) 11098 - 11103  2004  [Refereed]

    DOI

  • Surface system modeling by the energy density analysis.

    Kawamura, Y, Nakai, H

    Abstracts of Papers of the American Chemical Society   226  2003  [Refereed]

  • Numerical assesment of the ab initio nomo theory.

    Sodeyama, K, Nakai, H

    Abstracts of Papers of the American Chemical Society   226  2003  [Refereed]

  • New algorithm for the rapid computation of molecular integrals: Elementary basis algorithm.

    Kobayashi, M, Nakai, H

    Abstracts of Papers of the American Chemical Society   226  2003  [Refereed]

  • Development of energy density analysis and its applications.

    Baba, T, Kawamura, Y, Nakai, H

    Abstracts of Papers of the American Chemical Society   226  2003  [Refereed]

  • 化学ってそういうこと!-夢が広がる分子の世界-

    中井浩巳, 日本化学会

    化学同人    2003

  • Many-body effects in nonadiabatic molecular theory for simultaneous determination of nuclear and electronic wave functions: Ab initio NOMO/MBPT and CC methods

    Nakai, H, Sodeyama, K

    Journal of Chemical Physics   118 ( 3 ) 1119 - 1127  2003  [Refereed]

    DOI

  • Energy density analysis of internal methyl rotations in halogenated toluenes

    Kawamura, Y, Nakai, H

    Chemical Physics Letters   368 ( 5-6 ) 673 - 679  2003  [Refereed]

    DOI

  • Reactions of protonated water clusters H+(H2O)(n) (n=1-6) with dimethylsulfoxide in a guided ion beam apparatus

    Kawai, Y, Yamaguchi, S, Okada, Y, Takeuchi, K, Yamauchi, Y, Ozawa, S, Nakai, H

    Chemical Physics Letters   377 ( 1-2 ) 69 - 73  2003  [Refereed]

    DOI

  • Ab initio molecular dynamics study on the excitation dynamics of psoralen compounds

    Nakai, H, Yamauchi, Y, Nakata, A, Baba, T, Takahashi, H

    Journal of Chemical Physics   119 ( 8 ) 4223 - 4228  2003  [Refereed]

    DOI

  • Energy density analysis (EDA) of proton transfer reactions in malonaldehyde, tropolone, and 9-hydroxyphenalenone

    Nakai, H, Sodeyama, K

    Journal of Molecular Structure-Theochem   637 ( 1〜3 ) 27 - 35  2003  [Refereed]

    DOI

  • Molecular orbital study on the reaction process of dimethylamine borane as a reductant for electroless deposition

    Homma, T, Tamaki, A, Nakai, H, Osaka, T

    Journal of Electroanalytical Chemistry   559   131 - 136  2003  [Refereed]

    DOI

  • Size-dependent reaction cross section of protonated water clusters H+(H2O)(n) (N=2-11) with D2O

    Yamaguchi, S, Kudoh, S, Okada, Y, Orii, T, Takeuchi, K, Ichikawa, T, Nakai, H

    Journal of Physical Chemistry a   107 ( 50 ) 10904 - 10910  2003  [Refereed]

    DOI

  • The Stability of Ammonia Cluster Ions and Its Relation to Nucleation Rate

    Y. Okada, T. Orii, K. Takeuchi, H. Nakai, T. Ichikawa

    J. Aerosol Res. Jpn.   17 ( 1 ) 30 - 38  2002

  • Simultaneous determination of nuclear and electronic wave functions without Born-Oppenheimer approximation: Ab initio NO plus MO/HF theory

    Nakai, H

    International Journal of Quantum Chemistry   86 ( 6 ) 511 - 517  2002  [Refereed]

    DOI

  • Energy density analysis with Kohn-Sham orbitals

    Nakai, H

    Chemical Physics Letters   363 ( 1-2 ) 73 - 79  2002  [Refereed]

    DOI

  • Ab initio MD simulation of collision reaction between ammonia cluster ion and ammonia monomer

    Nakai, H, Yamauchi, Y, Matsuda, A, Okada, Y, Takeuchi, K

    Journal of Molecular Structure-Theochem   592 ( 1〜3 ) 61 - 67  2002  [Refereed]

    DOI

  • Energy density analysis (EDA) of cis, trans-enol isomerization in malonaldehyde, tropolone and 9-hydroxyphenalenone

    Nakai, H, Sodeyama, K

    Chemical Physics Letters   365 ( 3-4 ) 203 - 210  2002  [Refereed]

    DOI

  • DFT calculation analysis of the infrared spectra of ethylene adsorbed on Cu(110), Pd(110), and Ag(110)

    Itoh, K, Kiyohara, T, Shinohara, H, Ohe, C, Kawamura, Y, Nakai, H

    Journal of Physical Chemistry B   106 ( 41 ) 10714 - 10721  2002  [Refereed]

    DOI

  • Ab initio molecular orbital study of the oxidation mechanism of hypophosphite ion as a reductant for an electroless deposition process

    Nakai, H, Homma, T, Komatsu, I, Osaka, T

    Journal of Physical Chemistry B   105 ( 9 ) 1701 - 1704  2001  [Refereed]

    DOI

  • pi(*)-sigma(*) hyperconjugation mechanism on the rotational barrier of the methyl group (III): Methyl-azabenzenes in the ground, excited, and anionic states

    Kawamura, Y, Nagasawa, T, Nakai, H

    Journal of Chemical Physics   114 ( 19 ) 8357 - 8363  2001  [Refereed]

    DOI

  • Non-Born-Oppenheimer theory for simultaneous determination of vibrational and electronic excited states: ab initio NO plus MO/CIS theory

    Nakai, H, Sodeyama, K, Hoshino, M

    Chemical Physics Letters   345 ( 1-2 ) 118 - 124  2001  [Refereed]

    DOI

  • Molecular orbital study on the reaction mechanisms of electroless deposition processes

    Homma, T, Komatsu, I, Tamaki, A, Nakai, H, Osaka, T

    Electrochimica Acta   47 ( 1-2 ) 47 - 53  2001  [Refereed]

    DOI

  • pi-sigma* hyperconjugation mechanism on methyl rotation in cationic state of substituted toluenes

    Kawai, M, Nakai, H

    Chemical Physics   273 ( 2-3 ) 191 - 196  2001  [Refereed]

    DOI

  • pi*-sigma* hyperconjugation mechanism on the rotational barrier of the methyl group (II): 1-and 2-methylnaphthalenes in the S-0, S-1, C-0, and A(1) states

    Nakai, H, Kawamura, Y

    Chemical Physics Letters   318 ( 4-5 ) 298 - 304  2000  [Refereed]

    DOI

  • Theoretical study on ammonia cluster ions: Nature of kinetic magic number

    Nakai, H, Goto, T, Okada, Y, Orii, T, Takeuchi, K, Ichihashi, M, Kondow, T

    Journal of Chemical Physics   112 ( 17 ) 7409 - 7415  2000  [Refereed]

    DOI

  • pi(*)-sigma(*) hyperconjugation mechanism on the rotational barrier of the methyl group (I): Substituted toluenes in the ground, excited, and anionic states

    Nakai, H, Kawai, M

    Journal of Chemical Physics   113 ( 6 ) 2168 - 2174  2000  [Refereed]

    DOI

  • Theoretical study on ammonia cluster ions: nature of thermodynamic magic number

    Nakai, H, Goto, T, Ichikawa, T, Okada, Y, Orii, T, Takeuchi, K

    Chemical Physics   262 ( 2-3 ) 201 - 210  2000  [Refereed]

    DOI

  • Ab initio molecular orbital study on the oxidation mechanism for dimethylamine borane as a reductant for an electroless deposition process

    Homma, T, Nakai, H, Onishi, M, Osaka, T

    Journal of Physical Chemistry B   103 ( 10 ) 1774 - 1778  1999  [Refereed]

    DOI

  • Nature of the change in the rotational barrier of the methyl group due to S-0 -&gt; S-1 excitation

    Nakai, H, Kawai, M

    Chemical Physics Letters   307 ( 3-4 ) 272 - 276  1999  [Refereed]

    DOI

  • Electronic structures of MoF6 and MoOF4 in the ground and excited states: A SAC-CI and frozen-orbital-analysis study

    Nakai, H, Morita, H, Tomasello, P, Nakatsuji, H

    Journal of Physical Chemistry a   102 ( 11 ) 2033 - 2043  1998  [Refereed]

    DOI

  • Oxidation mechanism of propylene on an Ag surface: dipped adcluster model study

    Hu, ZM, Nakai, H, Nakatsuji, H

    Surface Science   401 ( 3 ) 371 - 391  1998  [Refereed]

    DOI

  • A theoretical study of the photochemical reductive elimination and thermal oxidative addition of molecular hydrogen from and to the Ir-complex

    Hayashi, Y, Nakai, H, Tokita, Y, Nakatsuji, H

    Theoretical Chemistry Accounts   99 ( 4 ) 210 - 214  1998  [Refereed]

    DOI

  • An extension of ab initio molecular orbital theory to nuclear motion

    Tachikawa, M, Mori, K, Nakai, H, Iguchi, K

    Chemical Physics Letters   290 ( 4-6 ) 437 - 442  1998  [Refereed]

    DOI

  • Ab initio molecular orbital model of scanning tunneling microscopy. Benzene and benzene adsorbed on a Ag surface

    Hidaka, M, Fujita, T, Nakai, H, Nakatsuji, H

    Chemical Physics Letters   264 ( 3-4 ) 371 - 375  1997  [Refereed]

    DOI

  • Theoretical study on the thermal and photochemical isomerization reactions of dicyanoacetylene complex of platinum Pt(PH3)(2)(C4N2)

    Nakai, H, Fukada, S, Nakatsuji, H

    Journal of Physical Chemistry a   101 ( 6 ) 973 - 980  1997  [Refereed]

    DOI

  • Mechanism of the partial oxidation of ethylene on an Ag surface: dipped adcluster model study

    Nakatsuji, H, Nakai, H, Ikeda, K, Yamamoto, Y

    Surface Science   384 ( 1-3 ) 315 - 333  1997  [Refereed]

    DOI

  • Electronic structures of the ground and excited states of Mo(CO)(6): SAC-CI calculation and frozen orbital analysis

    Morita, H, Nakai, H, Hanada, H, Nakatsuji, H

    Molecular Physics   92 ( 3 ) 523 - 534  1997  [Refereed]

    DOI

  • Activation of O-2 on Cu, Ag, and Au surfaces for the epoxidation of ethylene: dipped adcluster model study

    Nakatsuji, H, Hu, ZM, Nakai, H, Ikeda, K

    Surface Science   387 ( 1-3 ) 328 - 341  1997  [Refereed]

    DOI

  • Theoretical studies on the catalytic activity of Ag surface for the oxidation of olefins

    Nakatsuji, H, Hu, ZM, Nakai, H

    International Journal of Quantum Chemistry   65 ( 5 ) 839 - 855  1997  [Refereed]

    DOI

  • Theoretical study on the photostimulated desorption of CO from a Pt surface

    Nakatsuji, H, Morita, H, Nakai, H, Murata, Y, Fukutani, K

    Journal of Chemical Physics   104 ( 2 ) 714 - 726  1996  [Refereed]

    DOI

  • CO and NO adsorption on copper-containing zeolite. A theoretical ab initio study

    Zhanpeisov, NU, Nakatsuji, H, Hada, M, Nakai, H, Anpo, M

    Catalysis Letters   42 ( 3-4 ) 173 - 176  1996  [Refereed]

    DOI

  • Ab initio molecular orbital model of scanning tunneling microscopy

    Fujita, T, Nakai, H, Nakatsuji, H

    Journal of Chemical Physics   104 ( 6 ) 2410 - 2417  1996  [Refereed]

    DOI

  • Theoretical study of the ionized electronic structure of the octahedral complex MoF6

    Morita, H, Nakai, H, Tomasello, P, Nakatsuji, H

    Bulletin of the Chemical Society of Japan   69 ( 7 ) 1893 - 1899  1996  [Refereed]

    DOI

  • Frozen-orbital analysis of the excited states of metal complexes in high symmetry: O-h case

    Nakai, H, Morita, H, Nakatsuji, H

    Journal of Physical Chemistry   100 ( 39 ) 15753 - 15759  1996  [Refereed]

    DOI

  • THEORETICAL-STUDY ON THE PHOTOCHEMICAL DECOMPOSITION REACTION OF PERMANGANATE ION, MNO4-

    NAKAI, H, OHMORI, Y, NAKATSUJI, H

    Journal of Physical Chemistry   99 ( 21 ) 8550 - 8555  1995  [Refereed]

    DOI

  • ELECTRONIC MECHANISM OF THE SURFACE-ENHANCED RAMAN-SCATTERING

    NAKAI, H, NAKATSUJI, H

    Journal of Chemical Physics   103 ( 6 ) 2286 - 2294  1995  [Refereed]

    DOI

  • Theoretical study on the electronic spectrum of TcO4-

    Hasegawa, J, Toyota, K, Hada, M, Nakai, H, Nakatsuji, H

    Theoretica Chimica Acta   92 ( 6 ) 351 - 359  1995  [Refereed]

    DOI

  • 「表面光化学反応の理論展開」

    中辻博, 中井浩巳

    有機合成化学研究所講演集、第8集     92 - 100  1994

  • 「固体触媒作用の量子化学」

    中辻博, 波田雅彦, 中井浩巳, 福西快文

    触媒   36 ( 1 ) 33 - 40  1994

  • THEORETICAL-STUDY ON THE GROUND AND EXCITED-STATES OF THE CHROMATE ANION CRO42-

    JITSUHIRO, S, NAKAI, H, HADA, M, NAKATSUJI, H

    Journal of Chemical Physics   101 ( 2 ) 1029 - 1036  1994  [Refereed]

    DOI

  • MECHANISM OF PHOTOCHEMICAL-REACTION OF PERMANGANATE ION

    NAKAI, H, NAKATSUJI, H

    Theochem-Journal of Molecular Structure   117   141 - 151  1994  [Refereed]

    DOI

  • 固体表面上での化学吸着と触媒反応の電子論

    中辻博, 波田雅彦, 中井浩巳

    表面科学   14 ( 10 ) 603 - 609  1993

  • DIPPED ADCLUSTER MODEL STUDY FOR MOLECULAR AND DISSOCIATIVE CHEMISORPTIONS OF O2 ON AG SURFACE

    NAKATSUJI, H, NAKAI, H

    Journal of Chemical Physics   98 ( 3 ) 2423 - 2436  1993  [Refereed]

    DOI

  • THEORETICAL-STUDY ON THE METHANE ACTIVATION REACTIONS BY PT, PT(+), AND PT(-) ATOMS

    HADA, M, NAKATSUJI, H, NAKAI, H, GYOBU, S, MIKI, S

    Theochem-Journal of Molecular Structure   100 ( 2-3 ) 207 - 212  1993  [Refereed]

    DOI

  • DIPPED ADCLUSTER MODEL AND SAC-CI METHOD APPLIED TO HARPOONING, CHEMILUMINESCENCE AND ELECTRON-EMISSION IN HALOGEN CHEMISORPTION ON ALKALI-METAL SURFACE

    NAKATSUJI, H, KUWANO, R, MORITA, H, NAKAI, H

    Journal of Molecular Catalysis   82 ( 2-3 ) 211 - 228  1993  [Refereed]

    DOI

  • CATALYTIC REACTIONS OF TRANSITION-METAL CLUSTERS AND SURFACES FROM ABINITIO THEORY - CLUSTER AND DIPPED ADCLUSTER MODEL STUDIES COMBINED WITH THE SAC SAC-CI METHOD

    H NAKATSUJI, H NAKAI, M HADA

    METAL-LIGAND INTERACTIONS : FROM ATOMS, TO CLUSTERS, TO SURFACES   378   251 - 285  1992  [Refereed]

  • DIPPED ADCLUSTER MODEL STUDY FOR THE END-ON CHEMISORPTION OF O2 ON AN AG SURFACE

    NAKATSUJI, H, NAKAI, H

    Canadian Journal of Chemistry-Revue Canadienne De Chimie   70 ( 2 ) 404 - 408  1992  [Refereed]

    DOI

  • POTENTIAL-ENERGY CURVES OF DIOXYGEN ANION SPECIES, O2- AND O2(2-)

    NAKATSUJI, H, NAKAI, H

    Chemical Physics Letters   197 ( 4-5 ) 339 - 345  1992  [Refereed]

    DOI

  • 触媒作用の量子化学

    中辻博, 波田雅彦, 中井浩巳

    有機合成化学研究所 講演集   5   59 - 72  1991

  • 金属表面における化学吸着と触媒作用

    中井浩巳, 福西快文, 中辻博

    季刊化学総説   13   158 - 178  1991

  • DIPPED ADCLUSTER MODEL FOR CHEMISORPTIONS AND CATALYTIC REACTIONS ON A METAL-SURFACE - IMAGE FORCE CORRECTION AND APPLICATIONS TO PD-O2 ADCLUSTERS

    NAKATSUJI, H, NAKAI, H, FUKUNISHI, Y

    Journal of Chemical Physics   95 ( 1 ) 640 - 647  1991  [Refereed]

    DOI

  • THEORETICAL-STUDY ON THE GROUND AND EXCITED-STATES OF MNO4-

    NAKAI, H, OHMORI, Y, NAKATSUJI, H

    Journal of Chemical Physics   95 ( 11 ) 8287 - 8291  1991  [Refereed]

    DOI

  • THEORETICAL-STUDY ON MOLECULAR AND DISSOCIATIVE CHEMISORPTIONS OF AN O2 MOLECULE ON AN AG SURFACE - DIPPED ADCLUSTER MODEL COMBINED WITH SYMMETRY-ADAPTED CLUSTER-CONFIGURATION INTERACTION METHOD

    NAKATSUJI, H, NAKAI, H

    Chemical Physics Letters   174 ( 3-4 ) 283 - 286  1990  [Refereed]

    DOI

▼display all

Books and Other Publications

  • 理工系のための一般化学

    柴田, 高範, 石原, 浩二, 井村, 考平, 鹿又, 宣弘, 寺田, 泰比古, 中井, 浩巳, 中尾, 洋一, 中田, 雅久, 古川, 行夫, 山口, 正( Part: Joint author, 3.化学結合)

    東京化学同人  2021.01 ISBN: 9784807909940

  • 化学便覧

    日本化学会, 篠原, 久典( Part: Joint editor, 17章 理論化学、計算化学、情報化学)

    丸善出版  2021.01 ISBN: 9784621305218

  • 物理化学

    安藤, 耕司, 中井, 浩巳

    化学同人  2019 ISBN: 9784759818475

  • 化学原理の発見:縮重系励起の対称則

    H. Nakai

    J. Comput. Chem. Jpn.  2012.04

  • Description of Core Ionized and Excited States by Density Functional Theory and Time-dependent Density Functional Theory

    Y. Imamura, H. Nakai

    Advances in the Theory of Atomic and Molecular Systems  2012.04

  • How does it become possible to treat delocalized and/or open-shell systems in fragmentation-based linear-scaling electronic structure calculation: the case of divide-and-conquer method

    M. Kobayashi, H. Nakai

    Phys. Chem. Chem. Phys.  2012.03

  • Meso-scale Quantum Chemistry

    H. Nakai, Y. Imamura, Y. Kikuchi, M. Kobayashi, T. Akama, J. Seino

    Meso???  2012.01

  • 量子化学に基づく原子・分子のシミュレーション

    中井浩巳, 大越昌樹

    日本シミュレーション学会誌「シミュレーション」  2011.12

  • 炭素原子の電子配置

    中井浩巳

    『炭素学』  2011.10

  • 理論化学における理論の革新

    中井浩巳

    「化学のブレークスルー」  2011.10

  • ナノ科学のための分割統治量子化学計算法

    小林正人, 中井浩巳

    ナノ学会会報「次世代スパコン特集」  2011.03

  • 巨大分子系の量子化学法

    中井浩巳

    CSJカレントレビュー・シリーズ第8巻「巨大分子系の計算化学-超大型計算機時代の理論化学の新展開」  2011.03

  • 理論化学における理論の革新

    中井浩巳

    別冊化学「化学のブレークスルー【理論化学編】」  2010.05

  • Divide-and-conquer approaches to quantum chemistry: Theory and implementation

    M. Kobayashi, H. Nakai

    Linear-Scaling Techniques in Computational Chemistry and Physics: Methods and Applications  2010.02

  • Rules for excited states of degenerate systems: Interpretation by frozen orbital analysis

    H. Nakai

    Advances in the Theory of Atomic and Molecular Systems: Conceptual and Computational Advances in Quantum Chemistry’ Progress in Theoretical Chemistry and Physics  2009.04

  • 化学の領域を広げる巨大分子の電子状態計算

    小林正人, 中井浩巳

    化学  2008.11

  • Development of linear scaling techniques based on divide-and-conquer method

    H. Nakai, T. Akama, M. Kobayashi

    Bull. Soc. Discrete Variational Xα  2008.09

  • インシリコ・ケミストリー〜高性能量子化学計算環境の構築〜

    中井浩巳

    早稲田産学連携レビュー2009  2008.09

  • メソ物質設計のための線形スケーリング量子化学計算

    中井浩巳

    化学と工業  2008.08

  • エネルギー密度解析による表面モデルの検証および触媒作用の解明

    中井浩巳, 菊池那明, 今村穣

    触媒  2008.07

  • New expression of the chemical bond in hydrides using atomization energies

    Y. Shinzato, H. Yukawa, M. Morinaga, T. Baba, H. Nakai

    Adv. Quant. Chem.  2008.01

  • 原子核と電子の波動関数を同時に決定するためのnon-Born-Oppenheimer理論:NOMO理論

    中井浩巳, 星野稔

    Mol. Sci. (分子科学)  2007.06

  • Nuclear orbital plus molecular orbital (NOMO) theory: Simultaneous determination of nuclear and electronic wave functions without Born-Oppenheimer approximation

    H. Nakai

    Int. J. Quant. Chem. (Review)  2007.03

  • 表面-分子相互作用系の量子化学計算に関する最近の動向

    中井浩巳

    表面科学  2007.01

  • Energy Density Analysis of Kohn-Sham DFT Method and Its Applications

    T. Baba, Y. Yamauchi, Y. Kikuchi, Y. Kurabayashi, H. Nakai

    Bull. Soc. Discrete Variational Xα.  2005.11

  • 化学ってそういうこと!-夢が広がる分子の世界-

    中井浩巳, 日本化学会

    化学同人  2003

  • 化学ってそういうこと!ー夢が広がる分子の世界ー

    化学同人社  2003.01

  • 固体触媒作用の量子化学

    中辻博, 波田雅彦, 中井浩巳, 福西快文

    触媒  1994

  • 表面光化学反応の理論展開

    中辻博, 中井浩巳

    有機合成化学研究所講演集、第8集  1994

  • 固体表面上での化学吸着と触媒反応の電子論

    中辻博, 波田雅彦, 中井浩巳

    表面科学  1993

  • Catalytic reactions of transition metal clusters and surfaces from ab initio theory-cluster and dipped adcluster model studies combined with the SAC/SAC-CI method-

    H. Nakatsuji, H. Nakai, M. Hada

    ‘Metal-ligand interctions: from atoms, to clusters, to surfaces’, Ed. D. R. Salahub, NATO ASI Series, Reidel, Dordrecht  1992

  • 触媒作用の量子化学

    中辻博, 波田雅彦, 中井浩巳

    有機合成化学研究所 講演集  1991

  • 金属表面における化学吸着と触媒作用

    中井浩巳, 福西快文, 中辻博

    季刊化学総説  1991

▼display all

Misc

  • CeO2への異種カチオンドープによる担持Fe凝集抑制

    三瓶大志, 村上洸太, 水谷優太, 石川敦之, 比護拓馬, 常木英昭, 中井浩巳, 関根泰

    触媒討論会討論会A予稿集(CD-ROM)   126th  2020

    J-GLOBAL

  • 量子化学的記述子を用いた反応予測手法の開発と予測に寄与する記述子の解析

    藤波美起登, 清野淳司, 中井浩巳

    化学工業   70   31 - 37  2019.12  [Invited]

    Article, review, commentary, editorial, etc. (scientific journal)  

  • DCDFTBMDプログラムの公開

    西村 好史, 吉川 武司, 中井 浩巳

    Journal of Computer Chemistry, Japan   17 ( 5 ) A21 - A27  2019.03

    Article, review, commentary, editorial, etc. (scientific journal)  

    DOI

  • 電場を用いたアンモニア合成における卑金属触媒の探索

    田中雄太, 村上洸太, 堺竜哉, 都甲健太, 伊東一陽, 石川敦之, 比護拓馬, 矢部智宏, 小河脩平, 池田昌稔, 常木英昭, 常木英昭, 中井浩巳, 関根泰

    触媒討論会講演予稿集(CD-ROM)   123rd  2019

    J-GLOBAL

  • 電場アンモニア合成におけるSrZrO3担体へのドープ効果

    田中雄太, 村上洸太, 林流石, 堺竜哉, 石川敦之, 小河脩平, 常木英昭, 萩庭尚道, 中井浩巳, 関根泰

    触媒討論会討論会A予稿集(CD-ROM)   124th  2019

    J-GLOBAL

  • 人工知能を用いた化学反応の予測と反応条件最適化

    藤波美起登, 清野淳司, 中井浩巳

    マテリアルズ・インフォマティクスによる材料開発と活用集(技術情報協会)、第8章     379 - 384  2019.01  [Invited]

    Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media)  

  • 理論化学とインフォマティクスの融合による反応設計

    藤波 美起登, 清野 淳司, 中井 浩巳

    化学と工業   71 ( 8 )  2018.08  [Invited]

  • 表面プロトン伝導を用いたアンモニア合成の反応メカニズム

    村上洸汰, 中坪秀彰, 真鍋亮, 上手裕紀子, 久井雄大, 小河脩平, 常木英昭, 池田昌稔, 石川敦之, 中井浩巳, TRULS Norby, 関根泰

    触媒討論会討論会A予稿集   122nd  2018

    J-GLOBAL

  • 表面プロトン伝導を用いたアンモニア合成

    村上洸太, 中坪秀彰, 真鍋亮, 上手裕紀子, 久井雄大, 小河脩平, 常木英昭, 池田昌稔, 石川敦之, 中井浩巳, NORBY Truls, 関根泰

    固体イオニクス討論会講演要旨集   44th  2018

    J-GLOBAL

  • インフォマティクスとの融合による理論化学研究

    清野 淳司, 中井 浩巳

    化学工業   69 ( 1 ) 53 - 58  2018.01  [Invited]

  • 分割統治型密度汎関数強束縛 (DC-DFTB)法に対する最近の開発と応用

    西村 好史, 中井 浩巳

    分子シミュレーション研究会会誌アンサンブル   20 ( 1 ) 18 - 23  2018.01

    Article, review, commentary, editorial, etc. (scientific journal)  

    DOI

  • インフォマティクスとの融合による理論化学研究の推進

    清野 淳司, 中井 浩巳

    PETROTECH   40   353  2017.05  [Invited]

  • 人工知能を用いた化学反応の予測: 新材料開発のスピードアップに向けて

    藤波 美起登, 清野 淳司, 中井 浩巳

    Material Stage   17   70  2017.02  [Invited]

  • インフォマティクスによる反応の設計と予測- コンピュータを用いた化学反応の予言を目指して

    藤波 美起登, 清野 淳司, 中井 浩巳

    化学   71   68  2016.11  [Invited]

  • 分割統治型密度汎関数強束縛分子動力学(DC-DFTB-MD)法によるナノスケール系化学反応シミュレーション

    西村 好史, 中井 浩巳

    分子シミュレーション研究会会誌アンサンブル   18 ( 2 ) 95 - 101  2016.04

    Article, review, commentary, editorial, etc. (scientific journal)  

    DOI

  • Special Issue: Seventh congress of the international society for theoretical chemical physics

    Hiromi Nakai, Kazunari Yoshizawa, Koji Ando, Takahito Nakajima, Erkki J. Braendas

    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY   113 ( 3 ) 171 - 172  2013.02

    Other  

    DOI

  • Development of Divide-and-Conquer Quantum Chemical Code for Biomolecules and Nano Materials

    M. Kobayashi, P. Saparpakorn, H. Nakai

    31st Annual Conference of Japan Society for Simulation Technology    2012

▼display all

Industrial Property Rights

  • 二酸化炭素吸収液及びその調製方法

    佐藤 裕, 山中 康朗, 古川 行夫, 中井 浩巳, 鹿又 宣弘, 山本 浩之

    Patent

    J-GLOBAL

  • 半導体記憶装置

    三木 浩史, 中井 浩巳, 櫛田 惠子, 嶋本 泰洋, 高▼谷 信一郎, 藤崎 芳久

    Patent

    J-GLOBAL

  • 半導体記憶装置

    特許第4500248号

    三木 浩史, 中井 浩巳, 櫛田 惠子, 嶋本 泰洋, 高▼谷 信一郎, 藤崎 芳久

    Patent

    J-GLOBAL

  • 半導体記憶装置

    三木 浩史, 中井 浩巳, 櫛田 惠子, 嶋本 泰洋, 高▼谷 信一郎, 藤崎 芳久

    Patent

    J-GLOBAL

  • 半導体記憶装置

    特許第3940176号

    三木 浩史, 中井 浩巳, 櫛田 惠子, 嶋本 泰洋, 高▼谷 信一郎, 藤崎 芳久

    Patent

    J-GLOBAL

Awards

  • The 2016 Commendation for Science and Technology

    2016.05   Minister of Education, Culture, Sports, Science and Technology (MEXT)  

  • CSJ Award for Creative Work

    2016.03   Chemical Society of Japan  

  • The 2011 Pople Medal

    2011  

  • The 2010 Award of Society of Computer Chemistry, Japan (SCCJ)

    2011   Society of Computer Chemistry, Japan (SCCJ)  

  • 日本コンピュータ化学会 学会賞

    2011  

  • 日本コンピュータ化学会 論文賞(吉田賞)

    2009   日本コンピュータ化学会  

  • QSCP Promising Scientist Award of Centre de Mecanique Ondulatoire Appliquee

    2006.08  

  • Japan Association of Aerosol Science and Technology Best Paper Award.

    2002  

▼display all

Research Projects

  • Innovative energy storage materials based on the peculiar functions realized by isolated molecules/orbitals.

    Project Year :

    2020.08
    -
    2025.03
     

  • Clarification of Ubiquitous Proton Function in Photoreceptive Proteins by Quantum Molecular Dynamics Simulations

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S)

    Project Year :

    2018.06
    -
    2023.03
     

  • 相対論的2成分法に対する新しいハイブリッド密度汎関数の開発

    日本学術振興会  科学研究費助成事業 特別研究員奨励費

    Project Year :

    2017.11
    -
    2020.03
     

    中井 浩巳, MAIER TONI

     View Summary

    局所混成汎関数の2成分相対論における理論的および技術的な基盤は、無限次2成分法に基づく密度行列のpicture-change変換(PCT)と厳密交換積分の半数値積分によって初年度に確立された。2年目はこの方法を相対論的な計算のための有用なツールとするために開発を進めた。機械的に生成されたあらわな3中心解析的積分ルーチン、より効率的な数値グリッド、より効率的な積分のスクリーニングを実装した。積分のスクリーニングについては、chain-of-spheres厳密交換(COSX)法を拡張し、グリッド点の局所性、密度行列の疎性、Coulomb演算子の漸近的減衰を考慮してF-ジャンクションというシンプルな方法を開発した。最適化された半数値的な厳密交換のパフォーマンスは、相対論計算において解析的積分を圧倒的に上回った。密度行列のPCTに関する理論は当初はスカラー相対論の範囲内で定式化されていたが、スピン依存の表式に拡張した。
    最後に、相対論的な密度汎関数理論(DFT)計算に適した相対論的な運動エネルギー密度(KED)を定義する問題に対処した。KEDに依存する局所混成汎関数を用いた場合の内殻軌道エネルギーへの影響を、従来の相対論的KEDにおける欠陥と関連づけることができた。多くの局所混成汎関数において重要な構成要素であるKEDについて、Cauchy-Schwarzの不等式を用いて単一軌道拘束条件を相対論的KEDに課すことで、KEDの補正法を新たに開発した。この補正は電子の運動によって生じる磁場に起因するゲージ補正を考慮することで導出されることがわかった。これは相対論的な取り扱いにおいて自然に生じるものであり、従来の相対論的KEDの定義を実効的に補正する。

  • Theoretical Study on Function and Dynamics of Ubiquitous Hydrogen

    Project Year :

    2014.06
    -
    2019.03
     

     View Summary

    Hydrogen ubiquitously exists in a wide variety of systems in various forms, and plays a vital role in material properties or biological functions through the dynamics and chemical reactions. The present study aimed to solve advanced problems for energy, environment, material, and biology with a focus on the “ubiquitous hydrogen”. The present study was based on the development of novel methods for efficiently analyzing the static and dynamical properties of hydrogen ions (protons) in large-scale systems, NOMO/DC-PP2 and DC-DFTB-MD, respectively. Using these methods, we clarified the microscopic mechanisms of proton dynamics essential for material properties or biological functions in many systems such as batteries and proteins. In addition, this project expanded into Grant-in-Aid for Scientific Research (S) in the last academic year as an extension of the research on photoreceptive proteins

  • ユビキタス水素の機能とダイナミクスに関する理論的研究

    日本学術振興会  科学研究費助成事業 基盤研究(A)

    Project Year :

    2014.06
    -
    2019.03
     

    中井 浩巳, 安藤 耕司

     View Summary

    水素はあらゆる環境下において多様な形態で存在し,種々の物性や機能に重要な役割を果たしている.本研究では,「ユビキタス水素」の機能とダイナミクスを取り扱うための理論的基盤を構築し,環境・エネルギー・材料・生命に関する応用研究に取り組むことを目的とする.本年度取り組んだ4つの課題について成果を報告する.
    (1) ユビキタス水素の拡張としてポジトロンに着目し,NOMO法によるポジトロン消滅スペクトルの計算手法を新たに確立した.本手法を希ガス原子や小分子に対して応用したところ,従来の平面波近似では困難だった消滅γ線スペクトルの半値幅の定量的な再現に成功した.
    (2) 氷中における余剰プロトンの拡散機構を解明するため,分割統治型密度汎関数強束縛分子動力学(DC-DFTB-MD)法による大規模反応シミュレーションを実行した.その結果,氷中における高速なプロトン拡散の起源が水分子の水素結合を介したプロトンリレー(Grotthuss機構)であることを明らかにした.
    (3) Naイオン高濃度電解液におけるキャリアイオン拡散の微視的機構を解明するため,DC-DFTB-MDシミュレーションを実行した.その結果,高濃度条件では溶媒の配位構造の組み換えに由来する配位子交換型の拡散機構によってキャリアイオン拡散が進行することが明らかになった.
    (4) 代表的な光駆動プロトンポンプであるバクテリオロドプシン(BR)を対象とし,光反応サイクル上でのL型中間体における1段階目のプロトン移動の微視的機構を解明するため,BR全体を量子的に取り扱うDC-DFTB-MDシミュレーションを実行した.その結果,L型中間体で特異的に出現する内部水分子がプロトン輸送のキャリアとしての役割を担っていること,および活性部位近傍に存在する内部水分子の数がプロトン移動経路となる水素結合構造を安定化させていることを明らかにした.

  • Development of accurate quantumchemical computation method for condensed-phase therodynamic properies

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research

    Project Year :

    2015.04
    -
    2018.03
     

    NAKAI Hiromi

     View Summary

    In order to develop the accurate quantum chemical computation method to evaluate the condensed-phase thermodynamic properties, this study has performed the practical applications of the harmonic solvation model proposed by our group. Based on this purpose, we have carried out four research topics: (1) development of rigid-body HSM, (2) quantum chemical investigation of liquid-vapor equilibrium, (3) quantum chemical investigation of gas solubility, (4) quantum chemical investigation of standard hydrogen electrode (SHE), (5) theoretical investigation of CO2 chemical absorption method, and (6) theoretical investigation of formation enthalpy of transition metal complexes.

  • ユビキタス水素の機能とダイナミクスに関する理論的研究

    科学研究費助成事業(早稲田大学)  科学研究費助成事業(基盤研究(A))

    Project Year :

    2014
    -
    2018
     

  • 凝縮系の熱力学量に対する高精度量子化学計算法の開発

    科学研究費助成事業(早稲田大学)  科学研究費助成事業(挑戦的萌芽研究)

    Project Year :

    2015
    -
    2017
     

  • Development of Real-Time Formula of Molecular Theory and Its Applications to Nonequilibrium Processes

    Project Year :

    2010.04
    -
    2013.03
     

     View Summary

    The present study developed the real-time time-dependent density functional theory (RT-TDDFT) calculations with the Gaussian-type orbital (GTO) basis. In particular, the general formula corresponding to higher-order nonlinear processes was derived and the formulation of time developing processes of both electrons and nuclei. These methodologies were applied to higher-order nonlinear excited processes and ultrafast relaxation processes of the excited-state molecules

  • Development of Real-Time Formula of Molecular Theory and Its Applications to Nonequilibrium Processes

    Project Year :

    2010
    -
    2012
     

     View Summary

    The present study developed the real-time time-dependent density functional theory (RT-TDDFT) calculations with the Gaussian-type orbital (GTO) basis. In particular, the general formula corresponding to higher-order nonlinear processes was derived and the formulation of time developing processes of both electrons and nuclei. These methodologies were applied to higher-order nonlinear excited processes and ultrafast relaxation processes of the excited-state molecules.

  • Development of Real-Time Formula of Molecular Theory and Its Applications to Nonequilibrium Processes

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research

    Project Year :

    2010
    -
    2012
     

    NAKAI Hiromi, SAITO Shinji

     View Summary

    The present study developed the real-time time-dependent density functional theory (RT-TDDFT) calculations with the Gaussian-type orbital (GTO) basis. In particular, the general formula corresponding to higher-order nonlinear processes was derived and the formulation of time developing processes of both electrons and nuclei. These methodologies were applied to higher-order nonlinear excited processes and ultrafast relaxation processes of the excited-state molecules.

  • Development of accelerated quantum dynamics theory

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research on Priority Areas

    Project Year :

    2006
    -
    2009
     

    NAKAI Hiromi, IMAMURA Yutaka, KOBAYASHI Masato, SATO Takeshi, KIKUCHI Yasuaki, ATSUMI Teruo

     View Summary

    The present study presented the theoretical development of electronicstructure calculations for large systems. The theoretical treatment for quantum dynamics of nuclei was developed based on the nuclear orbital plus molecular orbital (NOMO) theory. The energy density analysis (EDA) techniques were improved for effective analysis of the electronic-structure calculations of real systems.

  • Innovation of 6 Coordinate Hypervalent Compounds Bearing Carbon and Phosphorus as Central Atoms

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)

    Project Year :

    2005
    -
    2006
     

    AKIBA Kin-ya, SHIBATA Takanori, NAKAI Hiromi, KIKUTI Yasuaki

     View Summary

    1,6 Coordinate perphosphoranide anion (12-P-6) are usually unstable and difficult to be isolated. In order to stabilize the anion, two equivalents of the bidentate Martin ligand (hexafluorocumyl alcohol) were reacted with phosphorus trichloride to generate 4 coordinate phosphoranide anion (10-P-4) in situ. Conjugate aldehydes and 1,2-diketones were reacted with the anion (10-P-4) to effect Diels-Alder type 1,4-cycloadditon to synthesize 6 coordinate perphosphoranide anions (12-P-6). The anion (12-P-6) was isolated stable and the structure was determined by X-ray analysis when phenanhrenequinone was used as a 1,2-diketone. Gnerally, the anions (12-P-6) were hydrolyzed to give 5 cordinate phosphoranes (10-P-5) bearing ethylene aldehyde group and the aldehydes were characterixed as their 2,4-dinitrophenylhydrazones.
    2,Syntheses and structure determination by X-ray analysis of a variety of 5 coordinate hypervalent carbon species (10-C-5) were reported as full papers in the fiscal year of 2005. In 2006, we challenged to synthesize 6 coordinate hypervalent carbon species (12-C-6). Because of the new and unique idea to prepare 12-C-6 species, several attempts were tried. Finally, an allene compound which bears thioxanthene skeleton at the terminal 1,3-carbons was prepared and the two sulfur atoms were methylated to yield the 6 coordinate carbon species. For the methylation, only the strongest methylation reagent, i.e., carborane reagent, could lead to success. The reagent was developed by Professor C. Reed group of Riverside, California, USA.
    3,Syntheses, crystal and solution structures, ligand exchange and ligand coupling reactions of mixed pentaarylantimony compounds were reported as a full paper in 2007. The experiments were quite complicated and contained a variety of aspects of hypervalent pentacoordinate compounds and had been completed several years before. By analyzing the total experimental results, it was concluded that the reaction proceeded through the two apical ligands which was termed as "memory effect".

  • 電子および原子核波動関数の同時決定法の開発とその応用

    日本学術振興会  科学研究費助成事業 萌芽研究

    Project Year :

    2004
    -
    2006
     

    中井 浩巳, 星野 稔, 山内 佑介, 菊池 那明, 袖山 慶太郎

     View Summary

    現在広く用いられている分子軌道(MO)法や密度汎関数理論(DFT)は、原子核と電子の運動を分離するBorn-Oppenheimer (BO)近似に基づいている。このBO近似を用いることで、ポテンシャルエネルギー曲面(PES)の概念が導かれ、分子の物性や反応性の解釈に対し大きな成果を上げてきた。しかし、非断熱遷移が起こる領域などBO近似が破綻する場合も数多く、BO近似を超えた取り扱いが必要である。また、原子核の同位体効果・量子効果を議論する場合には、原子核の波動関数は不可欠である。その場合、BO近似に基づく限りPESを予め求める必要があるが、PESの計算は原子数の増加に伴い計算コストが指数関数的に増加する。一方、本申請者が提案してきた電子および原子核の波動関数を同時に決定できる理論であるNOMO法は、BO近似を用いておらず、計算コストの急激な増加はない。また、電子と原子核のカップリング、つまり非断熱効果も考慮することができる。しかし、我々のNOMO法は、必ずしも計算精度が高くないという欠点を持っていた。そこで本研究では、NOMO法の計算精度の向上を第1の目的とした。この点については、NOMO-Hamiltonianに混入している並進・回転運動を分離することで大幅な精度向上に成功した。さらに、多体摂動法との組合せにより更なる高制度化に成功した。本研究ではさらに、NOMO法をより有用な方法へと発展させるために、構造最適化の実現、励起状態への拡張、動力学法との組み合わせ、解析手法の充実などを行った。

  • 量子化学計算におけるLinear-Scaling法の開発とその応用

    日本学術振興会  科学研究費助成事業 若手研究(A)

    Project Year :

    2002
    -
    2004
     

    中井 浩巳

     View Summary

    本研究では、種々の量子化学計算に対するUnear-Scaling(LS)法あるいは効果的な計算アルゴリズムを提案することを目指した。
    (1)分子積分の高速計算プログラム開発:分子積分、とりわけ電子間反発積分(ERI)の計算は、いまなお量子化学計算のボトルネックの一つである。本研究では、昨年度提案したACE-RRアルゴリズムに基づくプログラムを作成し、GAMESSプログラムと組合せることにより汎用性の向上を目指した。実際、本手法は従来のアルゴリズムより20%程度高速化していることが確かめられた。
    (2)Divide-and-Conquer(DC)法の検証:Yangによって提案された:LS法の一つであるDC法は、主にDFTに適用されてきた。しかし、原理的にはHF交換項を含むハイブリッド法にも応用できる。本研究では、DC-HFプログラムを作成し、HF交換項に対するDC法の是非を検討した。その結果、HF交換項の非局所性のため、十分な相互作用領域を用いる必要があること、打ち切りによるSCF収束性が悪化することが明らかとなった。
    (3)AIMD法におけるSCF収束性の向上:AIMD法は時間ステップごとにMO/DFT計算を行うため、膨大な計算時間を必要とする。本研究では、MOの時間発展を考慮することにより、効果的な初期MOを推定し、SCF収束性の向上を達成した。多くの系で、2-4倍程度の高速化が実現された。
    (4)NOMO法の高精度化:電子と核の波動関数を同時に決定するNOMO法は、我々が提案してきた独自の方法で、世界的にも注目されている。しかし、その精度は従来のMO法に比べ劣る。その原因は、電子-核および核-核相関といった特殊な多体効果に加えて、並進・回転運動の混入が挙げられる。本研究では、並進・回転運動の寄与を取り除く効果的なスキームを提案し、それによる高精度化を図った。

  • 表面励起プロセスの電子的メカニズムに関する理論的研究

    日本学術振興会  科学研究費助成事業 特定領域研究

    Project Year :

    2002
     
     
     

    中井 浩巳, 馬場 健

     View Summary

    固体表面及び表面吸着種の励起プロセスは、光触媒、光エネルギー変換、半導体材料の製造など多くの応用分野で盛んに研究されている。理論的に表面励起プロセスを研究しようとすると、既存の方法論やプログラムだけでは必ずしも十分ではない。本研究では、それらの理論的手法を自ら開発し、いくつかの興味ある対象に応用した。具体的には以下のような理論的研究を展開してきた。(1)活性部位のエネルギー変化を見積るための解析法の開発、(2)固体表面の効果的なモデリングの検討、(3)Ab Initio Molecular Dynamics(AIMD)法による励起状態ダイナミクスの検討、(4)TDDFT法による光化学反応の解明、(5)二酸化チタンの結晶構造と電子状態の研究を行ってきた。テーマ(1)では、全系のエネルギーを構成原子に分割するための新しい解析法(EDA ; Energy Density Analysis)を提案した。テーマ(2)では、EDA法を使ってモデルの妥当性及び効果的な取り扱いを検討した。テーマ(3)では、ソラレン化合物の励起状態に対するAIMDシミュレーションを行った。テーマ(4)では、ポルフィリンアンチモン錯体の光解離反応について検討した。テーマ(5)では、二酸化チタンに対する周期境界条件(PBC ; Periodic Boundary Condition)計算を行うことにより、結晶構造と電子状態の関係を理論的に検討した。

  • 励起分子と固体触媒の構造・振動状態・反応性に関する理論的研究

    日本学術振興会  科学研究費助成事業 特定領域研究(A)

    Project Year :

    2000
    -
    2001
     

    中井 浩巳

     View Summary

    本研究では、励起分子や固体触媒の構造や振動状態、さらにそれらが引き起こす種々の化学反応を理論的手法により検討し、そのメカニズムの解明を目指した。本年度はこの目的にしたがって、(1)ab initio NO+MO法による振動励起状態の解析、(2)ソラレン化合物のDNA光付加反応に関する理論的研究、(3)分子衝突のMDシミュレーションと化学反応性の理論的予測、等の研究を行った。(1)では、これまでに我々が開発したBorn-Oppenheimer近似に基づかない理論、ab initio NO+MO法に励起状態の理論を適用し、電子励起状態だけでなく振動励起状態に関する知見を得ることに成功した。特に、振動波動関数から得られる核密度分布は、分子振動やプロトントンネリングなどの現象を、視覚的・直感的に理解するうえで有用であることがわかった。(2)では、乾癬などの皮膚病治療に用いられるソラレン化合物がDNAとどのように光付加するかを理論的に検討した。その結果、ソラレン化合物のひとつである8-MOPは、T_1状態において特異な開環構造をすることが初めて示され、それが治療効果と密接な関係があることも明らかとなった。(3)では、アンモニアクラスターイオンとアンモニアモノマーの衝突反応に対して、種々の反応条件に対してab initio MDシミュレーションを行い、その結果から衝突実験で報告されている反応断面積を理論的に見積ることに成功した。さらに、衝突サイトと反応性との関連も明らかにすることができた。

  • ヘテロバイメタリッククラスターの触媒作用に関する理論的研究

    日本学術振興会  科学研究費助成事業 奨励研究(A)

    Project Year :

    1999
    -
    2000
     

    中井 浩巳

     View Summary

    本研究では、固体表面および金属錯体の関与する反応に対して、その触媒作用のメカニズムを理論的に解明することを目指した。固体表面に対しては、クラスターモデルによる取り扱いで問題となる、クラスターサイズ依存性に関して系統的に調べた。その結果、吸着分子の構造や振動数などは金属原子数個のクラスターを用いた計算でも収束しているが、生成熱などエネルギーは40個のクラスターを用いても収束が見られない、という興味深い結果が得られた。その原因として、クラスターを切り出したことによる不安定性が直接エネルギー計算に影響していることが示された。具体的な触媒反応としては、銅表面におけるメタノール合成を取り上げ、吸着活性種の特定、反応経路の決定、銅の触媒作用、蒸着亜鉛の助触媒効果などを検討した。特に本年度は、律速段階であるフオーメートからジオキソメチレンに至る過程を重点的に調べ、一般にその特定が困難とされる固体表面反応の遷移状態を理論的に求めることに成功した。金属錯体の関与する反応としては、昨年度から取り組んでいるRu(II)-Sn(II)複核錯体における酢酸合成反応を引き続き検討した。本研究を通して、異種金属間結合が触媒反応に果たす多種多様な機能の解明に、理論的にはどのようなアプローチが可能かを検討することができた。

  • 分子設計による機能性新素材開発

    文部科学省 

    Project Year :

    1996
    -
    2000
     

  • 励起分子の構造・振動状況・反応性に対する新しい理論的取り扱い

    日本学術振興会  科学研究費助成事業 特定領域研究(A)

    Project Year :

    1999
     
     
     

    中井 浩巳

     View Summary

    本研究では、励起分子の構造や振動状態、さらにはそれが引き起こす種々の反応を理論的な手法を用いて検討し、そのメカニズムを解明することを目指した。本年度は、この目的に従って、(1)BO近似に基づかないNO+MO理論、(2)アンモニアクラスターイオンの構造と反応性、(3)励起分子のメチル基内部回転運動、に関して研究を行った。(1)では、先に我々のグループで提案した核と電子の波動関数と同時に決定する方法、NO+MO/HF法の定量性を向上するために、多体摂動論を用いて解析した。その結果、核-核相関に比べ電子-核相関が圧倒的に大きいこと、低次の摂動では収束しないこと、リング型の相互作用より梯子型の相互作用が重要なこと、などが示された。この結果に基づいて、Bruecknerタイプの有効相互作用を用いる必要性があることがわかった。(2)では、アンモニアクラスターイオンとアンモニアモノマーの衝突断面積を、ab initioポテンシャルを用いて求めた。その結果、実験的に観測されているクラスターサイズ依存性や衝突エネルギー依存性を再現することに成功した。特に、衝突断面積が極小となるサイズが、中心のアンモニウムイオンの周りをアンモニアモノマーがすべて取り囲んだ構造、つまり第1溶媒和圏が閉じた状態に相当するという興味深い結果も得られた。(3)では、S_0,S_1状態における置換トルエンの回転障壁は、HF/CIS計算でまずまず実験値を再現できた。この計算結果の解析から、S_0→S_1励起による回転障壁の変化は、LUMOにみられる新しいタイプの超共役に由来していることがわかった。この超共役相互作用により、置換基の配向や電子供与性の違いによる回転障壁の変化を、系統的に理解することに成功した。

  • 電極表面のSTM観察とナノオーダー加工に関する理論的研究

    日本学術振興会  科学研究費助成事業 特定領域研究(A)

    Project Year :

    1999
     
     
     

    中井 浩巳

     View Summary

    STMによる表面の観察は、これまで現象論的な理解が先行していた電極反応において、基礎的な理解を与える手段として期待されている。しかし、これらの解釈には、表面-探針間の相互作用を考慮する必要がある。そこで本研究では、電極表面のSTMシミュレーションを行い、正しい理解を理論的に与えることを目指した。まず、Bardeenの摂動論に基づくSTMシミュレーションプログラムを開発し、これを金表面に吸着した硫酸イオンに適応した。その結果、印加電圧が小さい場合には硫酸イオンに対応するSTM像が得られないが、ある電圧を境にSTM像が見えることがわかった。その場合、原子レベルの分解能はなく、硫酸イオン全体で一つのスポットとなることも示された。次に、電極表面反応の一つとして無電解鍍金を取り上げ、その反応機構を理論的に検討した。その結果、ジメチルアミンボランや次亜リン酸などの還元剤については、脱水素より水酸基の配位が先行して生成される5配位化合物を経由することが示された。還元剤の酸化反応は溶媒の誘導率が増加するとともに進行しにくいことも示された。これは、還元剤が極性溶媒中では自発的に酸化されないが、バルク溶液に比べ誘導率が小さい電気二重層中では酸化されやすくなっていることを示している。さらに、表面上では反応全体が発熱的であることより、析出金属の自己触媒作用により還元剤の酸化が起こりやすくなっていることが理論的に示された。

  • Time-Resolved Spectroscopy of Photoinduced Molecular Stractural Dynamics

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B).

    Project Year :

    1997
    -
    1999
     

    TAKAHASHI Hiroaki, YUZAWA Tetsuro, ITOH Koichi

     View Summary

    Photochemistry of Chlorpromazine : It was found that in the photoreaction of phenothiazine, chlorophenothiazine, promazine and chlorpromazine a transient X having an absorption peak at 560nm is generated from the cation radical, and from this transient another transient Y with an absorption peak at 380 nm is produced
    Photochemistry of Salicylanilide : It was shown by using time-resolved IR spectra that a transient with the lifetime of 8 μs was involved in the photoreaction of salicylanilide. It was concluded based on the absence of an amide II band that the transient takes a quinoid structure.
    Photochemistry of Luciferein : It was found that the time-dependence of picosecond time-resolved absorption/fluorescence spectra of luciferin can be interpreted in terms of a 4-terms model. This indicates the existence of two isomeric species of S_1.
    Structure and Dynamics of the Photo-excited States of Dibenzazepine : Three transients were detected by picosecond time-resolved absorption spectroscopy. They were assigned to the S_2 state, S_1 state in the Franck-Condon state, and S_1 state in a relaxed state. The Franck-Condon S_1 state is considered to be in a butterfly-like bent structure similar to the ground state. It was concluded that the relaxed S_1 state is in a planar structure.
    Photochemistry of Biphenil : It was shown that the structure of binhenyl in the S_1 state changes from a twisted form (around the central C-C bond) to a planar trans form, a structure similar to that of the T_1 state. This structural change in the Sl state occurs within 20 ps after excitation
    Photochemistry of Carbazole : It was found that photo-excitation of carbazole gave rise to a formation of the cation radical and carbazyl radical in polar solvents, while only the carbazyl radical was generated in nonpolar solvents. The cation radical is generated biphotonically, while the carbazyl radical is produced monophotonically.

  • 固体表面場における触媒反応の電子的メカニズムに関する理論的研究

    日本学術振興会  科学研究費助成事業 重点領域研究

    Project Year :

    1997
     
     
     

    中井 浩巳

     View Summary

    本研究では、触媒反応の活性点における吸着種の構造・電子状態・エネルギーを量子化学計算により求め、触媒作用の解明を目指してきた。さらに、その結果に基づいて分子・原子あるいは電子レベルで触媒設計を行うことを最終目標とした。以下に具体的な研究成果を報告する。
    1.Cu/ZnO触媒によるメタノール合成反応: 気相中のCO_2とH_2からメタノールを生成する反応は、工業的にも重要であり、多くの実験的研究がなされてきた。しかしながら、反応メカニズムや触媒作用の本質など未解決な問題も多く残されていた。本研究では、Cu_4およびCu_3Znクラスターを用いて、それぞれ清浄表面および亜鉛蒸着表面のモデルとし、吸着フォーメートの水素化反応を重点的に調べた。その結果、Zn-Cuに橋掛けしたフォーメート中間体の存在が確認され、安定性・反応性ともに清浄表面のものよりも有利であることがわかった。吸着フォーメートの水素化反応過程では、ジオキソメチレン中間体、メトキシ中間体を経て、メタノールが生成することがわかった。Cu表面の触媒作用やZnの助触媒効果には、種々の吸着種への多彩な電子移動が密接に関与していることが明らかとなった。
    2.[V_4O_<12>]^<4->上に坦持されたアリル-ロジウム錯体によるC-Cカップリング反応: 分子性酸化物[V_4O_<12>]^<4->上に坦持されたアリル-ロジウム錯体は、C-Cカップリング反応を引き起こしヘキサジエンを生成することが知られている。本研究では、この反応過程における構造変化と触媒活性の関係を明らかにすることを目指した。その結果、C-Cカップリング反応が起らないアセチルアセトナート上に坦持されたアリル-ロジウム錯体に比べて、遷移状態に大きな差異が見られた。この違いは、ロジウム錯体部位への電子移動の違いに由来していることが明らかとなった。構造面では、フリーな酸化バナジウム錯体はV_4O_4という8員環はπ共役により平面構造を有しているが、ロジウム錯体がこれに配位すると平面構造は崩れることが示された。2個のロジウム錯体が配位する場合、V_4O_4の8員環を通した長距離相互作用が働き、これがC-Cカップリング反応をサポートしていることも明らかとなった。

  • Theoretical Study on the Excited Dynamics of Solid Surfaces and Surface Adsorbates

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)

    Project Year :

    1996
    -
    1997
     

    NAKAI Hiromi

     View Summary

    Excited dynamics of solid surfaces and surface adsorbates is a newly developing field in an advanced science such as photocatalyst, light-energy conversion, and manufacture of semiconductor. Recently, much effor thas been devoted to clarify molecular processes in surface excited dynamics. Clarifications of the electronic mechanisms of these processes are very important for understanding and designing specific surface photoprocesses. In this research project, we have studied several subjects concerning not only metal surfaces but also metal complexes by quantum chemical methods. They are divided into three categories ; i.e., (1) Catalytic activities on metal surfaces, (2) STM images of surface adsorbates, and (3) Excited states and photochemical reactions of metal complexes. In the first subject, a catalytic activity of a silver surface, which catalyzes an epoxidation reaction of ethylene, has been investigated. Secondly, a perturbation theory of Bardeen is applied to a molecular orbital theory in order to simulate an STM image. Based on the systematic researches on the excited states of metal complexes, we have found a general rule for the excitations between degenerate orbitals. Finally, electronic mechanisms of the photochemical reactions of Pt and Ir complexes are investigated.

  • Development of the large scale computational program system based on the SAC-CI method

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)

    Project Year :

    1995
    -
    1997
     

    NAKATSUJI Hiroshi, EHARA Masahiro, USHIO Jiro, TADA Tsukasa

     View Summary

    The SAC/SAC-CI method was developed in 1978 and has been confirmed to be a powerful tool for investigating the molecular excited states through the large numbers of applications. In this project, we have developed the largescale computational program system based on the SAC/SAC-CI method and performed some applications. The original program code (SAC85) is improved with respect to the algorithm, structure, and utility. Some new functions are also developed and installed in the new version of the program system.
    (1)Acceleration of the program code :
    We improve some algorithms of the program code and vectorize some of them to achieve the high performance on the vector processor machine. The acceleration is mainly performed for the codes constructing the Hamiltonian matrix elements and the diagonalization step. For the former, we propose the different algorithm from the original one and succeded in c.a.five-times acceleration. For the latter, iterative diagonalization code is vectorized and it becomes c.a.20 times faster than the original one. In addition, improvement of the convergence results in c.a.10times acceleration. Furthermore, it enables to calculate the large number of solutions which were not obtained by the previous algorithm.
    (2)Modification for workstation :
    Now, workstations is widely prevailed for the ab initio MO calculation. SAC-CI program system is modified to be executed on the unix machine. To this end, all the file input/output is performed automatically and the required amount of memory is automatically allocated in the new version of the program system.
    (3)New functions :
    We develope the method for calculating the analytical energy gradients for the ground, excited, ionized, and electron attached states by the SAC/SAC-Ci method. Original program code is limited to the applications to the single-electron process and to the low-spin states from singlet to triplet. In the new version, applications to the multiple electron process and the high-spin states from quartet to septet are also available.
    (4)Utility :
    Input and output of the progaram system are modified to be user-friendly. Optimal values are set to default and unimportant parameters are excluded from the iput. Program manual is rearranged in accordance with the new input and the structure of the program system is explained in detail. Output is also modified to be simple and clear for the general user.

  • 固体表面場における触媒反応の電子的メカニズムに関する理論的研究

    日本学術振興会  科学研究費助成事業 重点領域研究

    Project Year :

    1996
     
     
     

    中井 浩巳

     View Summary

    本研究では、いくつかの固体触媒反応に対して理論的な手法を用いてその触媒作用を解明し、その結果に基づいて触媒設計の指針を理論的研究から与えることを目指した。ここでは、このような目的で行った研究のうち、ホルムアルデヒド合成反応に対する銀の触媒作用に関する研究を報告する。本研究は、これまでに行ってきた銀表面における酸素活性化の研究を基礎としており、また、昨年本重点領域研究で報告したエチレンのエポキシ化反応に対する銀の触媒作用との対比としても興味深いテーマである。
    本研究では、ホルムアルデヒド合成反応に対して、反応メカニズムと吸着酸素種の役割を明らかにした。ホルムアルデヒド合成反応は、理論的にも二段階(O-H解離とC-H解離)で進むことが示され、ともに吸着酸素は活性種として働くことがわかった。しかし、C-H解離の際、吸着酸素が存在すると副反応を導く可能性が示された。さらに、吸着酸素は生成物であるホルムアルデヒドを再吸着させ、さらなる分解を引き起こすことが示された。この吸着酸素種の二面性のため、反応プロセスではメタノール過剰つまり酸素不足の条件が用いられている。反応温度が高いのは、酸素不足によりあまり有利でない過程を経る必要があるためである。熱力学的にも有利な酸素過剰で反応させるためには、効果的にホルムアルデヒド生成物を反応場から取り除く必要がある。本研究の結果は、今後の触媒設計へ重要な指針を与えるものであろう。

  • 固体表面場における触媒反応の電子的メカニズムに関する理論的研究

    日本学術振興会  科学研究費助成事業 重点領域研究

    Project Year :

    1995
     
     
     

    中井 浩巳, 中辻 博

     View Summary

    本研究では、いくつかの固体触媒反応に対して理論的な手法を用いてその触媒作用を解明し、その結果に基づいて触媒設計の指針を理論的研究から与えることを目的とした。ここでは、このような目的で行った研究のうち、エチレンのエポキシ化反応に対する銀の触媒作用に関する研究を報告する。
    (1)エポキシ化反応の電子的メカニズム
    銀は、エチレンを部分酸化してエチレンオキサイドを生成する唯一高活性で高選択的な触媒である。しかし、この反応に有効な酸素種が何であるかさえ未だ明らかでない。本研究では、エチレンのエポキシ化および燃焼反応両方のメスニズムを解明し、それぞれの活性酸素種は何であるのかを検討した。その結果、分子状吸着酸素は選択的にエチレンオキサイドを生成し、原子状吸着酸素は両方を導くことがわかった。これにより、実験的に示唆されていた選択率の上限(85.7%)は存在しないことになり、理想的には100%の選択率を持つ触媒設計が可能であることがわかった。
    (2)銅および金触媒の可能性
    上記の研究から、エポキシ化反応には酸素の解離能の小さい表面が、触媒として有利であることがわかる。つまり、d電子が不活性な金属表面の方が有利である。そこで本研究では、銀と同族の銅および金表面におけるエポキシ化反応を理論的に検討した。その結果、いずれの表面上のスーパーオキソ種も銀表面のものと類似の反応性が示された。しかし、スーパーオキソ種の安定性に違いが見られ、この点を改良すれば銅および金でも触媒と成り得ることがわかった。
    (3)Ag (111)面とAg (110)面における触媒活性
    銀触媒の選択性に対する面依存性を調べるために、Ag (111)面とAg (110)面上における酸素活性化の比較を行った。その結果、解離のバリアに大きな差が現れ、Ag (110)面の方が解離吸着を導きやすいことが示された。このため、Ag (110)面では高選択性を示すスーパーオキソ種の相対安全性が減少する。この差が選択性に対する面依存性に対する面依存性の起源である。

  • Theoretical study on the fundamental electronic process of the surface photochemistry

    Project Year :

    1993
    -
    1995
     

     View Summary

    Surface photochemistry is a newly developing field in surface chemistry and photochemistry. Recently, much effort has been devoted to clarify molecular processes in surface photochemical reactions. Clarifications of the electronic mechanisms of these processes are very important for understanding and designing specific photocatalytic reactions on a solid surface. In this research project, we have studied several subjects concerning not only metal surfaces but also metal complexes by quantum chemical methods. They are divided into four categories ; i.e., 1.Photochemical processes on metal surfaces, 2.Catalytic reactions on metal and metal oxide surfaces, 3.Electronic spectra of metal complexes, and 4.Photochemical reactions of metal complexes. The dipped adcluster model (DAM) is used for modeling the surface-molecule interacting system. The electronic structures in the ground and excited states of the surface-molecule systems are calculated by the symmetry adapted cluster (SAC) and SAC-configuration interaction (SAC-CI) methods, respectively.

  • 銀触媒によるエチレンの部分酸化反応の電子的メカニズムに関する理論的研究

    科学研究費助成事業(京都大学)  科学研究費助成事業(奨励研究(A))

    Project Year :

    1994
     
     
     

     View Summary

    本研究では、エチレンの部分酸化反応における銀の触媒作用の電子的オリジンを、量子化学的なアプローチにより解明することを目指し、以下のテーマを実行した。表面-分子相互作用系のモデルには、先に我々が提案したDipped Adcluster Model(DAM)を用いた。
    (1)エポキシ化反応の電子的メカニズムの解明:銀の清浄表面には、エチレンは吸着しないことが知られている。そのため、エポキシ化反応は、吸着酸素種と気相中のエチレンとの間で進行すると考えられる。そこで本研究では、先に申請者らが理論的に存在を確認した4種の吸着酸素種について、それぞれエチレンとの反応を調べた。その結果、スーパーオキソ種から導かれる非常に活性な反応中間体の存在が確かめられた。この中間体を経る反応は、気相中での反応に比べ殆どバリアーなく進行し、銀の触媒作用が理論的に示された。他に原子状酸素種からもエチレンオキサイドが生成することが示された。これにより、実験的に示唆されている選択率の上限(6/7)は存在しないことになり、理想的には100%の選択率をもつ触媒設計が可能であることがわかった。
    (2)燃焼反応の電子的メカニズムの解明:エチレンの燃焼反応は、部分酸化の副反応として起こり、結果として選択性を減少させる。触媒開発では、この燃焼反応を如何に抑えるかが鍵となっている。本研究では燃焼反応の第1ステップであるアセトアルデヒド生成反応を調べた。その結果、分子状吸着酸素種からこの反応は起こらないが、原子状吸着種からは比較的容易に起こることが示された。すなわち、原子状酸素種からはエポキシ化反応と燃焼反応が競争的に起こっていることがわかる。従って、前者をより起こり易くするような触媒設計が今後必要となろう。また、エポキシ化反応に最も有効なスーパーオキソ種が他の吸着酸素種に移行しないようにすることも、重要な触媒設計の指針である。

  • 表面増強ラマン散乱(SERS)の電子的発現機構に関する理論的研究

    科学研究費助成事業(京都大学)  科学研究費助成事業(奨励研究(A))

    Project Year :

    1993
     
     
     

     View Summary

    表面増強ラマン散乱(SERS)とは、特定の金属表面上で吸着分子のラマン強度が通常の10^6倍も大きくなる現象である。本研究では、このSERSの電子的発現機構を量子化学的なアプローチにより解明することを目指した。
    (1)遷移金属表面に吸着したCO,NO分子の電子状態:SERSの発現機構は、表面-分子間の相互作用と密接な関係があり、吸着分子の基底状態及び励起状態の電子構造が反映されると考えられる。そこで本研究では、遷移金属Ag,Pt表面に吸着したCO(下),NO(下)分子に対し、クラスターモデルを用いてHF/SE-CI法あるいはSAC/SAC-CI法によりその基底状態及び励起状態の電子構造を調べた。その結果、Ag_2,Pt_2表面にCO,NO分子が吸着している場合、クラスターの二電子励起状態と相互作用していることが示された。Ag_2表面ではその二電子励起状態はかなり不安定であり、結果として吸着安定化は得られないことがわかった。一方、Pt_2表面ではCO,NO分子ともに吸着安定化がみられた。そして、自由なCO,NO分子の最低励起エネルギーがそれぞれ8.5,5.5eV程度であるのに対し、Pt_2表面に吸着した系では2.5,1.8eVとかなり小さくなっていることが示された。これは、SERSの発現機構の一つと考えられている共鳴効果を容易にしていることを表している。一方、吸着系の電荷はCO,NOがそれぞれ+0.27,+0.31と比較的小さく、電磁気的効果は小さいことを示唆している。
    (2)吸着分子のラマン散乱強度の計算:気相及び吸着CO分子のラマン散乱強度を、時間依存ハートリーフォック(TDHF)法を用いて計算した。その結果、気相CO分子では入射光が1eVから6eVに変化するにしたがって次第に増加することが示された。しかし、7eV以上では計算が発散し、この方法では解が得られなかった。同様に、吸着CO分子の場合は1eVですでに発散が起こった。そこで本研究では、中間状態の寿命に対応する項を加えた計算をし、その寿命がゼロである極限値を用いる方法を提案した。

  • Theoretical studies on the catalytic activities of metal and metal oxide surfaces and metal clusters

    Project Year :

    1991
    -
    1992
     

     View Summary

    Structures and reactivities of molecular systems interacting with naked metals, metal clusters, and metal surfaces are of much importance to investigate elementary processes of catalytic reactions on various surfaces. In this research project, we have studied several subjects of these topics by quantum mechanical methods. We make abstracts of these topics as follows.
    1. Halogen chemisorption on an alkali-metal surface: Halogen chemisorption on an alkali metal surface involves 'hapooning', surface chemiluminescence, and surface electron emission. We investigate these phenomena by the DAM and the SAC/SAC-CI method. We found that the hapooning process and the surface chemiluminescence are one electron transfer processes between the bulk metal and Cl_2 through the highest-spin coupling mechanism. The surface electron emission is two electron process, one electron being transferred from the surface to Cl_2 and the other emitted out of the surface.
    2. Chemisorption of H_2 on a ZrO_2 surface: On a ZrO_2 surface, three types of H-H stretching and two types of Zr-H stretching have been observed by IR spectroscopy, suggesting that the three types of molecularly adsorbed sites and two types of dissociative adsorption exist on a ZrO_2 surface. The adsorption of H_2 on a ZrO_2 surface is investigated by using a cluster model with the Mudelung potential. We found two types of molecularly adsorbed hydrogen molecule and one type of dissociative adsorption.
    3. Dative metal-metal bond: The nature of metal-metal bonds in the binuclear complexes (OC)_5Os-M(CO)_5 (M=W,Cr) is studied and compared with that of the covalent bonds in (OC)_5M-M(CO)_5 (M=Re,Mn). We confirm that the former complexes have a dative metal-metal bond, as suggested experimentally. The Os(CO)_5 fragment acts as an electron donor to the M(CO)_5 fragments.
    4. Ground and excited states of metal complexes: The SAC/SAC-CI methods are applied to the calculations of the ground and excited states of RuO_4, OsO_4, and MnO^-_. The experimental spectra of these complexes are well reproduced by the present calculations.

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Specific Research

  • 第一原理触媒反応シミュレータの開発

    2018   大越 昌樹, 西村 好史, 周 建斌, 藤代 天佑, 中村 崇玖

     View Summary

    触媒反応の微視的理解のためのシミュレーションの実現を図った。Rh触媒によるNO-CO反応を対象として、触媒のサイズ効果および金属酸化物担体の効果について検討した。サイズ効果に対しては、大規模電子状態理論であるDFTB法の適用を検討した。金属的な電子状態を有限温度法に基づいて適切に取り扱えることを見出した。また、局所的な配位状態が異なる多様なサイトが存在すること、その割合がクラスターサイズによって変化すること、触媒反応中に触媒自身が動的に形状変化することを見出した。担体の効果に対しては、担体の格子酸素があらわに反応に寄与すること、表面金属種の構造的な柔軟性が重要な因子であることを見出した。

  • 相対論的量子化学とインフォマティクスによる均一系触媒を用いた反応予測手法の開発

    2017   清野 淳司

     View Summary

    本研究では、(A)機械学習や群知能などの人工知能技術を用いて相対論的量子化学計算法の高精度化を目指した。また、(B)相対論的量子化学計算の結果を用いた反応予測システムの開発を目指した。テーマ(A)では、密度汎関数理論の肝となる汎関数を群知能および機械学習により決定することに成功した。また、相対論的密度汎関数理論では、4成分法から2成分法に描像を変化させる場合、電子密度の見積りに注意が必要であり、そのための処方を示すことができた。テーマ(B)では、機械学習により量子化学的記述子を用いた反応予測システムの開発に成功した。

  • 大規模量子科学計算と分子動力学法の融合による化学反応シミュレーションの実行

    2013  

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    本研究の目的は,申請者らがこれまでに開発・発展させてきた大規模量子化学計算である分割統治(DC)法に分子動力学(MD)法を組み合わせることにより,結合の生成・開裂を伴う化学反応の動的なシミュレーションを行うことである。これにより,従来の量子化学計算だけでは困難であった温度や時間の効果を取り込むこと、従来のMD法では困難であった結合の生成・開裂を取り扱うことの克服を目指した。原理的には単に量子化学計算とMD法を組み合わせるだけ(一般にAIMD法と呼ばれる)で化学反応シミュレーションは行えるが,MD法の時間ステップ(通常,1フェムト秒(fs)程度)ごとに量子化学計算,特に,力の計算を行う必要があり,現実的な反応を追跡できない。本研究では,比較的計算コストが小さい密度汎関数強束縛(DFTB)法に着目し,さらにDC法を適用することにより,この困難を克服した。また、「京」コンピュータなどの超並列環境に対応したプログラム開発も行った。8,000分子の水に対するDC-DFTB法のエネルギー計算が,2,500ノード(20,000コア)を使用することにより1.125秒で実行できることを確かめた。並列化度79.5%に加えて、高い実行効率も達成した。さらに、(1)アミン溶液によるCO2吸収・放散過程,(2)グラファイト電極表面での電解質溶液の分解反応,という2つの化学反応に応用した。(1)では、CO2の吸収過程では、OH-によるプロトンの引き抜きが水の水素結合ネットワークを介してアミン-CO2複合系に作用することを明らかにした。一方、放散過程では、カルバメートとプロトン化アミンが直接プロトンの授受を行っていることを明らかにした。このように、同一の反応であっても、微視的な反応機構が異なることは、反応シミュレーションによって初めて明らかにできることであり、本研究の意義は大きい。(2)では、実験的にとらえることが困難なSEI膜の成長過程の初期段階を明らかにした。

  • インシリコ元素戦略に向けた相対論的量子化学理論の構築と実践

    2012  

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    本特定課題研究Bでは、元素戦略に必要な相対論的量子化学理論の構築を目指した。特に理論的な基盤となる次の2点を実施した。(1)局所ユニタリー変換(LUT)法による2成分相対論法の高速化(2)一般化非制限ハートリー・フォック(GUHF)法及びその電子相関理論(GUMP2)の確立。テーマ(1)では、周期表のあらゆる元素を含む物質・材料に対して、確証性の高い特性評価・機能設計を可能とするための相対論的量子化学理論の基盤構築を目指した。特に、2成分相対論法のうちで最も高精度な無限次ダグラス・クロール変換(IODK/IODK)法を基礎として、その弱点である莫大な計算コストを軽減するために局所ユニタリー変換(LUT)法を開発した。これにより、計算時間における線形スケーリング(計算時間が系の大きさに比例)および化学的精度(1 kcal/mol)を保った計算誤差が示され、本手法の有用性が確認された。テーマ(2)では、スピン依存部分を含むハミルトニアンでは様々な形式のスピン演算子が含まれることから、これらの形式に対応可能なGUHF法及びGUMP2を確立した。簡単な分子で数値検証を行った結果、従来の2成分相対論法では電子相関エネルギーを過剰評価する傾向があるが、本手法では4成分相対論法とほぼ同様の結果を与えることが確認された。これにより、電子相関効果と相対論効果を同時にしかも高精度に取り扱えるようになった。 本特定課題研究Bは、平成24年度科学研究費補助金基盤研究(A)(申請49,810千円)に不採択を受けて、平成25年度の再申請につなげるための研究費という位置づけであった。しかし、本研究代表者はさらなるステップアップを目指して、上記のような理論基盤を充実させたのち、科学技術振興機構(JST)が募集する戦略的創造研究推進事業(CREST)「元素戦略を基軸とする物質・材料の革新的機能の創出」に応募し、採択に至った。チーム全体の研究経費も290,000千円(うち研究代表者の研究経費は140,000千円)である。研究課題名も、本特定課題をさらに発展させた「相対論的電子論が拓く革新的機能材料設計」というものとした。

  • 実践的インシリコ・ケミストリーの確立:量子化学計算による材料設計に向けて

    2010   今村 穣, 菊池 那明, 小林 正人, 赤間 知子, 清野 淳司

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    本研究では、大規模系に対する量子化学計算を実行するための理論・計算アルゴリズムの開発とそれらを用いた実践研究を行った。具体的には、(1) 実時間発展形式の時間依存密度汎関数理論(RT-TDDFT)の実装、(2) 構造最適化計算の高速化手法(LSMO)の開発、(3) 分散力を扱うための密度汎関数理論(LRD)の開発、(4) 開殻系に対する分割統治法(DC-UHF/UDFT)の開発である。(1)では、RT-TDDFT法の計算プログラムを実装し、さらに短時間フーリエ変換(STFT)を適用することにより、励起状態におけるエネルギー移動を実時間で解析することに成功した。(2)では、非経験的分子シミュレーションおよび構造最適化計算における自己無撞着場(SCF)計算の収束性を改善する方法としてLSMO法を開発した。これによりAIMD法で約50%、AIMC法で約40%、Opt計算で約20%の高速化に成功した。(3)では、DFT法の欠点である弱い相互作用を記述できる第一原理的手法を開発し、実験で観測されるC6係数を高精度に再現することが確かめられた。(4)では、開殻系に適用できるO(N)法としてDC-UHF/UDFT法を開発し、非局在化スピンを含む系にも適用できることを確かめた。

  • インシリコ・ケミストリーの確立:分割統治法に基づいた大規模量子化学手法の開発

    2009   今村 穣, 渥美 照夫, 小林 正人, 佐藤 健

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    本研究の最終目標は、インシリコ・ケミストリーの確立である。まず、それに必要な高精度な大規模計算手法を開発するため,本研究では,理論の構築,プログラムの開発,そして実践という3段階で研究を進めた。当研究室ではこれまでに,全系を部分系に分割して計算することにより計算コストを削減する手法,分割統治(DC)法に基づくHF,hybrid-DFT,MP2,CCSD法の理論および計算アルゴリズムを提案し,これら計算プログラムの開発を行ってきた。本研究では,現在標準的に用いられている計算方法のうち最も高精度なCCSD(T)にDC法を適用した(DC-CCSD(T))。また,エネルギー計算だけでなく動的分極率を計算するための計算手法にもDC法を拡張した。比較的低コストである密度汎関数理論(DFT)は,標準的な交換相関汎関数を用いる場合,分散力を記述できないという致命的な問題があった。本研究では局所応答近似に基づいて分散力を非経験的に算出するLRD法を考案し,弱い相互作用の高精度かつ効率的な計算を可能にした。また,量子化学計算に基づく分子シミュレーション手法を用いて,生体関連分子の立体構造の探索を行った。その際,当研究室で開発した分子構造の類似性の指標を用いて効率的に探索するMSMC法を用いた。

  • 実用的分子デバイスの設計および制御に向けた量子化学計算手法の開発

    2006   山内 佑介, 星野 稔

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    本研究の最終目標は、理論的手法に基づいた実用的分子デバイスの設計と制御である。そのために、ナノリンク分子の接合安定性と量子輸送現象を取り扱うための高精度な理論的手法の開発を目的とした。具体的には、電子および原子核の取り扱いに対する3種類のアプローチと電流に対する2種類のアプローチの融合を目指した。前者は主に量子化学理論を基盤としており、次のようなものである。第1が、Born-Oppenheimer(BO)近似により原子核の運動は分離して電子状態のみを扱う通常の分子軌道(MO)法や密度汎関数理論(DFT)などの量子化学計算である。第2は、原子核の運動を取り込むために、分子動力学(MD)法と組み合わせた方法がAIMD法である。更に、原子核の運動も量子的に扱えるものとして申請者らによるNOMO法があり、これが第3の方法である。後者は物性物理理論を基盤としておりKeldyshの摂動論に基づく非平衡グリーン関数(NEGF)法とKosovの定常電流Schr&ouml;dinger方程式(CCSE)を直接解く方法である。本年度は、第1のアプローチに関して、従来定常状態にしか適用できなかったNOMO法を時間依存形式に拡張し、原子核の量子効果を考慮したダイナミックス(量子ダイナミックス)手法の基礎を確立した。また、第2のアプローチについては、AIMDシミュレーションのボトルネックである電子状態計算の高速化手法(LI-MO,LS-MO)を開発し、従来法に比べ3~5倍の計算時間の短縮に成功した。その他、分子-電極間安定接合の検証するために、我々が先に提案したエネルギー密度解析(EDA)を周期境界条件(PBC)計算に拡張した。さらに、このPBC-EDAが、表面構造の違いによる安定性・反応性の差異を定量的に評価できることを数値的に確認することができた。

  • 酸化チタン表面上での光エネルギー変換及び光触媒作用の電子的機構に関する理論的研究

    2005  

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    本特定課題研究では、酸化チタン表面上での光エネルギー変換及び光触媒作用の本質を分子軌道(MO)法や密度汎関数理論(DFT)などの第一原理計算手法により解明することを目指した。具体的には、 (1) 修飾された酸化チタン表面の幾何構造及び電子状態、および(2) 酸化チタン表面における光分解反応、を検討課題とした。研究テーマ(1)では、ガウス基底を用いた周期境界条件(PBC)計算によって天然に存在する酸化チタンが持つ3つの結晶構造(ルチル、アナターゼ、ブルッカイト)に電子状態を検討した。特に、各結晶構造に対してそれぞれ3種類の表面構造のPBC計算を行った。特に、これらの理論的解析において、我々が独自に開発したエネルギー密度解析(EDA)をPBC計算と組み合わせること(PBC-EDA)で、表面とバルクの違い、結晶構造および結晶表面の違いによる安定性や反応性の違いを定量的に評価することに成功した。また、酸化チタンにB, C, Sなどの半金属や非金属イオンを注入することにより、可視光領域に吸収を示すことが期待されている。そこで、酸素欠陥型TiO2-X(X=B,C,S)に対するPBC計算を行い、それらのバンド構造を検討した。特に、BおよびCの注入により、価電子帯の上部に新たに準位が生じ、結果としてバンドギャップが小さくなることが示された。研究テーマ(2)では、クラスターモデルを用いて、水、メタノール、そしてギ酸の分解反応を理論的に検討した。熱反応(基底状態)に加えて、光反応のモデルとして、イオン化したクラスターの反応性を検討した。その結果、熱反応に比べ光反応では容易に反応が進行することが確かめられた。

  • 固体及びクラスター表面反応のダイナミクスに関する理論的研究

    2005  

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    本特定課題研究では、分子軌道(MO)法や密度汎関数理論(DFT)などの第一原理手法を用いて、固体及びクラスター表面の触媒作用や機能発現の電子的機構を明らかにすることを目指した。さらに、第一原理計算に基づいた力場を利用して分子動力学シミュレーションを行うAIMD法により、表面反応のダイナミクスに関しても定量的な解析を目指した。具体的には、 (1)歪みシリコン表面の機能発現機構、および(2)星間分子衝突反応のダイナミクスとエネルギー移動、を当初の検討課題としていた。研究テーマ(1)では、ガウス基底を用いた周期境界条件(PBC)計算によって歪みシリコン表面の幾何構造及び電子状態を解明し、機能発現機構を理論的に検討した。特に、これらの理論的解析において、我々が独自に開発したエネルギー密度解析(EDA)をPBC計算と組み合わせること(PBC-EDA)の有効性が確かめられた。PBC-EDAの開発は、本プロジェクトと平行して行われ、まず種々のMgO表面(100)および(n10) (n=1-6)に対して応用された。そこでは、キンクやステップといった表面の各サイトの安定性や反応性を定量的に評価することに成功した。歪みシリコン表面に対しても、PBC-EDAにより歪みの影響を定量化することができた。研究テーマ(2)では、シアノラジカルとさまざまな不飽和炭化水素の衝突反応についてAIMDシミュレーションを実行し、そのダイナミクスとエネルギー移動を検討した。ここでは、上記のEDAをAIMDと組み合わせることにより、局所エネルギー変化の自己相関関数を求めることができ、さらにそれを短時間フーリエ変換(STFT)することにより化学反応におけるモード選択的なエネルギー分配のメカニズムを明らかすることができた。

  • クラスター内部自由度の理論的評価に基づく反応設計

    2002  

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    本研究では、衝突や励起によって引き起こされるクラスター内部自由度の変化を理論的に評価することにより、それに伴う化学反応を解明・予測・設計することを目指した。具体的には、(1)アンモニアクラスターイオンの衝突反応と(2)ソラレン化合物のDNA光付加反応を検討した。(1)については、理研のグループにより、サイズ選別したアンモニアクラスターイオンと重水素化したアンモニアモノマーの衝突実験が報告されている。さらに、吸着および分解過程に対する反応断面積の衝突エネルギーおよびクラスターサイズ依存性も報告されている。そこで本研究では、衝突過程のAb Initio Molecular Dynamics (AIMD)シミュレーションを行い、その結果から分子衝突と化学反応性の関連を検討した。衝突反応の初期条件を変化させたトラジェクトリーを走らせ、その結果から吸着・分解・非反応性衝突・非衝突を判断した。この結果を統計処理することにより得られた反応断面積は、まずまず実験値を再現した。さらに、吸着と分解を導く場合では、衝突サイトには系統的な違いがあることが初めて示された。(2)では、乾癬などの皮膚病に対する光療法の薬として用いられるソラレン化合物を扱った。ソラレン化合物単体での励起状態ダイナミックスを調べる目的で、励起三重項状態におけるAIMDシミュレーションを行った。その結果、無置換ソラレンや5-メトキシソラレン(5-MOP)には見られなかったピロン環の開環が、8-メトキシソラレン(8-MOP)で起こることが初めて明らかとなった。この開環構造は、DNAにフラン環側で付加した場合にも見られ、2段階目の付加反応が抑制されていることがわかる。実際、DNAへのモノ付加体は治療効果があるが、ジ付加体は結合が強固なためDNAが再生されにくく副作用があると考えられている。本研究の結果を踏まえると、8-MOPは副作用という点では最も優れた薬であると判断される。

  • ヘテロバイメタリッククラスターの触媒作用に関する理論的研究

    2000  

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     本研究では、固体表面および金属錯体の関与する反応に対して、その触媒作用のメカニズムを理論的に解明することを目指した。固体表面に対しては、クラスターモデルによる取り扱いで問題となる、クラスターサイズ依存性に関して系統的に調べた。その結果、吸着分子の構造や振動数などは金属原子数個のクラスターを用いた計算でも収束しているが、生成熱などエネルギーは40個のクラスターを用いても収束が見られない、という興味深い結果が得られた。その原因として、クラスターを切り出したことによる不安定性が直接エネルギー計算に影響していることが示された。具体的な触媒反応としては、銅表面におけるメタノール合成を取り上げ、吸着活性種の特定、反応経路の決定、銅の触媒作用、蒸着亜鉛の助触媒効果などを検討した。特に本年度は、律速段階であるフォーメートからジオキソメチレンに至る過程を重点的に調べ、一般にその特定が困難とされる固体表面反応の遷移状態を理論的に求めることに成功した。金属錯体の関与する反応としては、Ru(II)-Sn(II)複核錯体における酢酸合成反応を検討した。本研究を通して、異種金属間結合が触媒反応に果たす多種多様な機能の解明に、理論的にはどのようなアプローチが可能かを検討することができた。

  • 電極表面反応の理論設計

    2000  

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     本研究では、(1)電極表面のSTMシミュレーションを行い、正しい理解を理論的に与えること、(2)電極表面で起こる触媒反応と電子移動を理論計算により検討し、そのメカニズムの解明を目指した。テーマ(1)として、Au(111)面に吸着したSulfateに対して、吸着構造とそのSTM像を理論計算により決定することを試みた。吸着構造はon-top-site eclipse型<hollow-site staggered型<hollow-site eclipse型という順に安定となることがわかった。この結論は、OsawaらのSEIRASの結果とも一致している。さらに、eclipse型吸着構造についてSTM像について検討した。吸着SulfateのバンドはFermi準位付近には現われていないため、通常考えられているTipと吸着系の間のHOMO-LUMO遷移では吸着Sulfateの像は得られない。しかし、電極表面特有の遷移を考えることにより、吸着SulfateのSTM像の再現に成功した。テーマ(2)として、無電解鍍金における還元剤の酸化反応メカニズムについて検討した。その結果、ジメチルアミンボランや次亜リン酸などの還元剤については、これまで広く受け入れられてきた脱水素が先行し3配位化合物を経由するというMeerakker機構よりも、水酸基の配位が先行し5配位化合物を経由するという新たな反応機構が理論的に支持された。溶媒効果を考慮した計算結果から、還元剤が極性溶媒中では自発的に酸化されないが、バルク溶液に比べ誘電率が小さい電気二重層中では酸化されやすくなっていることが示された。さらに、析出金属の自己触媒作用により還元剤の酸化が起こりやすいことが理論的に示された。

  • 多次元プロトン・トンネリングのメカニズムに関する理論的研究

    1998  

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    本研究では、多自由度のプロトン・トンネリングが関係する系に対して、理論的なアプローチにより、そのメカニズムの解明を行った。具体的には、(1)置換トルエンにおける励起状態のメチル基回転障壁、(2)マロンアルデヒドにおけるプロトン・トンネリング分裂、について研究を行った。(1)では、基底(S0)および励起(S1)状態にある置換トルエンのメチル基分子内回転に対するポテンシャルカーブを分子軌道(MO)計算により求め、実験的に観測されているようなS0→S1励起に伴う回転障壁の劇的な変化を理論的に再現した。計算結果の解析より、この劇的な変化はLUMOにおける新しいタイプの超共役が原因であることが示された。このメカニズムによると、これまで明らかにされなかった置換基の位置や種類による回転障壁の変化も矛盾なく説明できることもわかった。(2)では、多自由度のプロトン・トンネリングを取り扱えるようにするために、従来のMO法に替わるNO+MO法を提案し、その理論に基づいた計算プログラムの開発を行った。本研究では、このNO+MO法を適用することにより、マロンアルデヒドのトンネリング分裂幅を理論的に予測することに成功した。特に、重水素置換することで分裂幅が1オーダー減少することが報告されているが、理論的にもこのことが再現された。また、より多くの分子をこのNO+MO法で取り扱えるように、原子核の波動関数(NO)を記述するための基底関数の開発も同時に行った。

  • 金属錯体の励起ダイナミックスと光触媒作用に関する理論的研究

    1997  

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    本研究では、励起ダイナミックスおよび触媒反応の電子過程を明らかにすることを目的とした。以下に具体的な研究成果を報告する。 1.Cu/ZnO触媒によるメタノール合成反応:本研究では、清浄表面(Cu4)および亜鉛蒸着表面(Cu3Zn)上でCO2とH2からメタノールを生成する反応について理論的に調べた。その結果、 Zn-Cuに橋掛けしたフォーメート中間体の存在が確認され、安定性・反応性ともに清浄表面のものよりも有利であることがわかった。吸着フォーメートの水素化反応過程では、ジオキソメチレン中間体、メトキシ中間体を経て、メタノールが生成することがわかった。Cu表面の触媒作用やZnの助触媒効果には、種々の吸着種への多彩な電子移動が密接に関与していることが明らかとなった。 2.[V4O12]4-担持アリル-ロジウム錯体によるC-Cカップリング反応:本研究では、アリル-ロジウム錯体がC-Cカップリング反応を起してヘキサジエンを生成する過程を理論的に調べた。その結果、C-Cカップリング反応のエネルギー障壁は、アセチルアセトナート上に担持されたものに比べて、分子性酸化物[V4O12]4-上では半分程度であった。この違いは、ロジウム錯体部位への電子移動の違いに由来しており、次のような構造変化とも関係している。フリーな [V4O12]4-では、V4O4という8員環はπ共役により平面構造を有しているが、ロジウム錯体がこれに配位すると平面構造は崩れる。この崩れによりπ電子が局在化され、ロジウム錯体部位への電子移動を容易にしているのである。また、2個のロジウム錯体が配位する場合、V4O4の8員環を通した長距離相互作用によりC-Cカップリング反応をサポートしていることも明らかとなった。研究成果の発表:[1] Mechanism of the Partial Oxidation of Ethylene on an Ag Surface:Dipped Adcluster Model Study, H. Nakatsuji, H. Nakai, K. Ikeda, and Y.Yamamoto, Surf. Sci., 384, 315-333 (1997). [2] Activation of O2 on Cu, Ag, and Au Surfaces for the Epoxidation of Ethylene: Dipped Adcluster Model Study, H. Nakatsuji, Z. Hu, H. Nakai, and K. Ikeda, Surf. Sci., 387, 328-341 (1997). [3] Theoretical Study on the Catalytic Activity of Ag Surface for the Oxidation of Olefins, H. Nakatsuji, Z.M. Hu, and H. Nakai, Int. J. Quant. Chem., 65, 839-855 (1997). [4] Electronic Structures of the Ground and Excited States of Mo(CO)6:SAC-CI Calculation and Frozen Orbital Analysis, H. Morita, H. Nakai, H. Hanada, and H. Nakatsuji, Mol. Phys., 92 (3), 523-534 (1997). [5] Electronic Structures of the Ground and Excited States of MoF6 and MoOF4: SAC-CI Calculation and Frozen Orbital Analysis, H. Nakai, H. Morita, P. Tomasello, and H. Nakatsuji, J. Phys. Chem., in press (1998).

  • 金属錯体の励起状態と光化学反応に関する理論的研究

    1996  

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     本研究では、金属錯体の励起状態の量子化学計算から、それらを一般的に理解するための規則を見い出すことに成功した。また、励起状態のポテンシャル面の計算から、Mo(CO)6の光分解反応や白金テトラシアノエチレン錯体の光異性化反応の電子的メカニズムを解明した。ここでは、前者の研究について、その概要を報告する。 金属錯体の励起状態に関する一般則:多くの金属錯体は高い対称性を持つため、二重あるいは三重に縮退した分子軌道を持つ。それらの縮退軌道間の遷移に基づく励起状態は、複数個現われる。我々は、これら励起状態の順序や分裂幅には、一般則があることを見い出した。すなわち、「同じ主配置を持つ複数の励起状態のうち、許容遷移に相当する状態は最も高いエネルギー準位に位置し、しかも他の準位との分裂幅も最も大きい。」実際に我々は、この規則が、正四面体(Td)構造のオキソ錯体、MO4(M=Cr,Mo,Mn,Tc,Ru,Os)、正八面体(Oh)構造のMoF6やMo(CO)6などについて成り立つことを確認した。さらに、この規則は金属錯体に限らず、縮退軌道間の遷移に基づく励起状態に関する一般則であることも確認した。例えば、直線分子やD6h構造のベンゼンのpai-pai*励起状態、正20面体構造のC60やB12H122-の励起状態などである。このように、この規則が任意の分子について成り立つのは、エネルギー準位や分裂幅が分子の性質には関係なく、遷移に関係する分子軌道の重なりにのみ依存しているためである。さらに、この規則は、ちょうどHund則が同じ主配置を持つ異なるスピン状態に関するものであるのに対し、同じスピン状態内で成り立つ規則として注目に値する。

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Overseas Activities

  • 電子状態理論におけるLinear -Scaling法の開発とその応用

    2002.10
    -
    2003.10

    アメリカ   ライス大学

 

Syllabus

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Committee Memberships

  • 2020.06
    -
    Now

    日本化学会  理事

  • 2018
    -
    Now

    Asia-Pacific Association of Theoretical & Computational Chemists (APATCC)  Board Member

  • 2017
    -
    Now

    China-Japan-Korea Tripartite Workshop of Theoretical and Computational Chemistry (CJK-WTCC)  Chair

  • 2014
    -
    Now

    Royal Society of Chemistry (RSC)  Fellow of Royal Society of Chemistry (FRSC)

  • 2014
    -
    Now

    World Association of Theoretical and Computational Chemists (WATOC)  Board Member

  • 2013
    -
    Now

    International Society for Theoretical Chemical Physics (ISTCP)  Board Member

  • 2019.06
    -
    2021.09

    Japan Society of Theoretical Chemistry  President

  • 2011.03
    -
    2015.02

    日本化学会  理論化学・情報化学・計算化学(TIC)ディビジョン 主査

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