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2012 Fiscal Year Final Research Report

Development of Real-Time Formula of Molecular Theory and Its Applications to Nonequilibrium Processes

Research Project

  • PDF
Project/Area Number 22655008
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field Physical chemistry
Research InstitutionWaseda University

Principal Investigator

NAKAI Hiromi  早稲田大学, 理工学術院, 教授 (00243056)

Co-Investigator(Renkei-kenkyūsha) SAITO Shinji  分子科学研究所, 理論・計算分子科学研究領域, 教授 (70262847)
Project Period (FY) 2010 – 2012
KeywordsRT-TDDFT法 / 電子・核軌道理論 / 非定常状態 / 非平衡状態 / 量子化学計算
Research Abstract

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.

  • Research Products

    (63 results)

All 2013 2012 2011 2010 Other

All Journal Article (32 results) (of which Peer Reviewed: 32 results) Presentation (22 results) Book (8 results) Remarks (1 results)

  • [Journal Article] Linearity condition for orbital energies in density functional theory (III) : Benchmark of total energies2013

    • Author(s)
      Y. Imamura, R. Kobayashi, H. Nakai
    • Journal Title

      J. Compt. Chem.

      Volume: (in press)

    • DOI

      DOI:10.1002/jcc.23243

    • Peer Reviewed
  • [Journal Article] An analytical energy gradient method for divide-and-conquer second-order Moller-Plesset perturbation theory2013

    • Author(s)
      M. Kobayashi, H. Nakai
    • Journal Title

      J. Chem. Phys.

      Volume: 138(4) Pages: 044102

    • DOI

      DOI:10.1063/1.4776228

    • Peer Reviewed
  • [Journal Article] Assessment of local response dispersion method for open-shell systems2013

    • Author(s)
      Y. Ikabata, H. Nakai
    • Journal Title

      Chem. Phys. Lett.

      Volume: 556 Pages: 386-392

    • DOI

      DOI:10.1016/j.cplett.2012.11.088

    • Peer Reviewed
  • [Journal Article] Divide-and-conquer electronic-structure study on the mechanism of the West Nile Virus NS3 protease inhibitor2013

    • Author(s)
      P. Saparpakorn, M. Kobayashi, H. Naka
    • Journal Title

      Bull. Chem. Soc. Jpn.

      Volume: 86(1) Pages: 67-74

    • DOI

      DOI:10.1246/bcsj.20120165

    • Peer Reviewed
  • [Journal Article] Divide-and-conquer based quantum chemical study for interaction between HIV-1 reverse transcriptase and MK-4965 inhibitor2013

    • Author(s)
      P. Saparpakorn, M. Kobayashi1, S. Hannongbua, H. Nakai
    • Journal Title

      Int. J. Quantum Chem.

      Volume: 113(4) Pages: 510-517

    • DOI

      DOI:10.1002/qua.24164

    • Peer Reviewed
  • [Journal Article] Self-consistent field treatment and analytical energy gradient of local response dispersion method2013

    • Author(s)
      Y. Ikabata, T. Sato, H. Nakai
    • Journal Title

      Int. J. Quantum Chem.

      Volume: 113(3) Pages: 257-262

    • DOI

      DOI:10.1002/qua.24092

    • Peer Reviewed
  • [Journal Article] Divide-and-conquer-based symmetry adapted cluster method : synergistic effect of subsystem fragmentation and configuration selection2013

    • Author(s)
      T. Yoshikawa, M. Kobayashi1, H. Nakai
    • Journal Title

      Int. J. Quantum Chem.

      Volume: 113(3) Pages: 218-223

    • DOI

      DOI:10.1002/qua.24093

    • Peer Reviewed
  • [Journal Article] Linearity condition for orbital energies in density functional theory (IV) : determination of range-determining parameter2013

    • Author(s)
      Y. Imamura, R. Kobayashi, H. Nakai
    • Journal Title

      Int. J. Quantum Chem.

      Volume: 113(3) Pages: 245-251

    • DOI

      DOI:10.1002/ qua.24093

    • Peer Reviewed
  • [Journal Article] Accelerating convergence in the antisymmetric product of strongly orthogonal geminals method2013

    • Author(s)
      M. Tarumi, M. Kobayashi1, H. Nakai
    • Journal Title

      Int. J. Quantum Chem.

      Volume: 113(3) Pages: 239-244

    • DOI

      DOI:10.1002/qua.24045

    • Peer Reviewed
  • [Journal Article] Generalized Moller-Plesset multi-configuration perturbation theory applied to open-shell antisymmetric product of strongly orthogonal geminals reference wavefunction2012

    • Author(s)
      M. Tarumi, M. Kobayashi, H. Nakai
    • Journal Title

      J. Chem. Theory Comp.

      Volume: 8(11) Pages: 4330-4335

    • DOI

      DOI:10.1021/ct300789a

    • Peer Reviewed
  • [Journal Article] Local unitary transformation method for large-scale two-component relativistic calculations. II. Extension to two-electron Coulomb Interaction2012

    • Author(s)
      J. Seino, H. Nakai, J.
    • Journal Title

      Chem. Phys.

      Volume: 137(14) Pages: 144101

    • DOI

      DOI:10.1063/1.4757263

    • Peer Reviewed
  • [Journal Article] Extension of local response dispersion method to excited state calculation based on time-dependent density functional theory2012

    • Author(s)
      Y. Ikabata, H. Nakai
    • Journal Title

      J. Chem. Phys.

      Volume: 137(12) Pages: 124106

    • DOI

      DOI:10.1063/1.4754508

    • Peer Reviewed
  • [Journal Article] Local unitary transformation method for large-scale two-component relativistic calculations: case for a one-electron Dirac Hamiltonian2012

    • Author(s)
      J. Seino, H. Nakai
    • Journal Title

      J. Chem. Phys.

      Volume: 136(24) Pages: 244102

    • DOI

      DOI:10.1063/1.4729463

    • Peer Reviewed
  • [Journal Article] Development of the explicitly correlated Gaussian-nuclear orbital plus molecular orbital theory : incorporation of electron-electron correlation2012

    • Author(s)
      H. Nishizawa, Y. Imamura, Y. Ikabata, H. Nakai
    • Journal Title

      Chem. Phys. Lett.

      Volume: 533 Pages: 100-105

    • DOI

      DOI:10.1016/j.cplett.2012.02.070

    • Peer Reviewed
  • [Journal Article] Dynamic hyperpolarizability calculations of large systems : the linear-scaling divide-and-conquer approach2012

    • Author(s)
      M. Kobayashi, T. Touma, H. Nakai
    • Journal Title

      J. Chem. Phys.

      Volume: 136(8) Pages: 084108

    • DOI

      DOI:10.1063/1.3687341

    • Peer Reviewed
  • [Journal Article] Constrained self-consistent field method revisited toward theoretical designs of functional materials under external field2012

    • Author(s)
      Y. Yamagata, Y. Imamura, H. Nakai
    • Journal Title

      Chem. Phys. Lett.

      Volume: 530 Pages: 132-136

    • DOI

      DOI:10.1016/j.cplett.2012.01.065

    • Peer Reviewed
  • [Journal Article] Theoretical analysis on catalytic activity of metal surfaces on reaction of hypophosphite ion2012

    • Author(s)
      M. Kunimoto, H. Nakai, T. Homma
    • Journal Title

      Electrochemistry

      Volume: 80(3) Pages: 126-131

    • DOI

      DOI:10.5796/ electrochemistry.80.126

    • Peer Reviewed
  • [Journal Article] Evaluation of electron-repulsion integral of the explicitly correlated Gaussian-nuclear orbital plus molecular orbital theory2012

    • Author(s)
      H. Nishizawa, M. Hoshino, Y. Imamura, H. Nakai
    • Journal Title

      Chem. Phys. Lett.

      Volume: 521 Pages: 142-149

    • DOI

      DOI:10.1016/j.cplett.2011.11.023

    • Peer Reviewed
  • [Journal Article] Bond energy analysis revisited and designed toward a rigorous methodology2011

    • Author(s)
      H. Nakai, H. Ohashi, Y. Imamura, Y. Kikuchi
    • Journal Title

      J. Chem. Phys.

      Volume: 135(12) Pages: 124105

    • DOI

      DOI:10.1063/1.3636387

    • Peer Reviewed
  • [Journal Article] Linearity condition for orbital energies in density functional theory (II) : application to global hybrid functional2011

    • Author(s)
      Y. Imamura, R. Kobayashi, H. Nakai
    • Journal Title

      Chem. Phys. Lett.

      Volume: 513(1-3) Pages: 130-135

    • DOI

      DOI:10.1016/j.cplett.2011.07.061

    • Peer Reviewed
  • [Journal Article] Linear-scaling divide-and-conquer second-order Moller-Plesset perturbation calculation for open-shell systems : implementation and application2011

    • Author(s)
      T. Yoshikawa, M. Kobayashi, H. Nakai
    • Journal Title

      Theor. Chem. Acc.

      Volume: 130(2-3) Pages: 411-417

    • DOI

      DOI:10.1007/s00214-011-1008-7

    • Peer Reviewed
  • [Journal Article] Rigorous non-Born-Oppenheimer theory : combination of explicitly correlated Gaussian method and nuclear orbital plus molecular orbital theory2011

    • Author(s)
      M. Hoshino, H. Nishizawa, H. Nakai
    • Journal Title

      J. Chem. Phys.

      Volume: 135(2) Pages: 024111

    • DOI

      DOI:10.1063/1.3609806

    • Peer Reviewed
  • [Journal Article] Density functional theory analysis of reaction mechanism of hypophosphite ions on metal surfaces2011

    • Author(s)
      M. Kunimoto, T. Shimada, S. Odagiri, H. Nakai, T. Homma
    • Journal Title

      J. Electrochem. Soc.

      Volume: 158(9) Pages: D585-D589

    • DOI

      DOI:10.1149/1.3609000

    • Peer Reviewed
  • [Journal Article] Finite-field evaluation of static (hyper)polarizabilities based on the linear-scaling divide-and-conquer method2011

    • Author(s)
      T. Touma, M. Kobayashi, H. Nakai
    • Journal Title

      Theor. Chem. Acc.

      Volume: 130(4-6) Pages: 701-709

    • DOI

      DOI:10.1007/s00214-011-0964-2

    • Peer Reviewed
  • [Journal Article] Two-level hierarchical parallelization of second-order Moller-Plesset perturbation calculations in divide-and-conquer method2011

    • Author(s)
      M. Katouda, M. Kobayashi, H. Nakai, S. Nagase
    • Journal Title

      J. Comput. Chem.

      Volume: 32(13) Pages: 2756-2764

    • DOI

      DOI:10.1002/jcc.21855

    • Peer Reviewed
  • [Journal Article] Energy expression of the chemical bond between atoms in metal oxides2011

    • Author(s)
      Y. Shinzato, Y. Saito, M. Yoshino, H. Yukawa, M. Morinaga, T. Baba, H. Nakai
    • Journal Title

      J. Phys. Chem. Solids

      Volume: 72 Pages: 853-861

    • DOI

      DOI:10.1016/j.jpcs.2011.03.014

    • Peer Reviewed
  • [Journal Article] Linearity condition for orbital energies in density functional theory : Construction of orbital-specific hybrid functional2011

    • Author(s)
      Y. Imamura, R. Kobayashi, H. Nakai
    • Journal Title

      J. Chem. Phys.

      Volume: 132(12) Pages: 124113

    • DOI

      DOI:10.1063/1.3569030

    • Peer Reviewed
  • [Journal Article] Interpretation of intermolecular geometric isotope effect in hydrogen bonds : nuclear orbital plus molecular orbital study2011

    • Author(s)
      Y. Ikabata, Y. Imamura, H. Nakai
    • Journal Title

      J. Phys. Chem. A

      Volume: 115(8) Pages: 1433-1439

    • DOI

      DOI:10.1021/jp111062n

    • Peer Reviewed
  • [Journal Article] Reconsidering an analytical gradient expression within a divide-and-conquer self-consistent field approach : exact formula and its approximate treatment2011

    • Author(s)
      M. Kobayashi, T. Kunisada, T. Akama, D. Sakura, H. Nakai
    • Journal Title

      J. Chem. Phys.

      Volume: 134(3) Pages: 034105

    • DOI

      DOI:10.1063/1.3524337

    • Peer Reviewed
  • [Journal Article] Divide-and-conquer self-consistent field calculation for open-shell systems : implementation and application2010

    • Author(s)
      M. Kobayashi, T. Yoshikawa, H. Nakai
    • Journal Title

      Chem. Phys. Lett.

      Volume: 500(1-3) Pages: 172-177

    • DOI

      DOI:10.1016/j.cplett.2010.10.005

    • Peer Reviewed
  • [Journal Article] Local response dispersion method II. Generalized multicenter interactions2010

    • Author(s)
      T. Sato, H. Nakai
    • Journal Title

      J. Chem. Phys.

      Volume: 133(19) Pages: 194101

    • DOI

      DOI:10.1063/1.3503040

    • Peer Reviewed
  • [Journal Article] Generalized Moller-Plesset partitioning in multiconfiguration perturbation theory2010

    • Author(s)
      M. Kobayashi, A. Szabados, H. Nakai, P. Surjan
    • Journal Title

      J. Chem. Theory Comp.

      Volume: 6(7) Pages: 2024-2033

    • DOI

      DOI:10.1021/ct1001939

    • Peer Reviewed
  • [Presentation] Expansion and deepening of quantum chemical methods toward real science2013

    • Author(s)
      H. Nakai
    • Organizer
      17th International Annual Symposium on Computational Science and Engineering (ANSCSE17)
    • Place of Presentation
      Khon Kaen, Thailand
    • Year and Date
      20130300
  • [Presentation] 非局所励起状態に対する分割統治(DC)型線形スケーリング法の開発2012

    • Author(s)
      中井浩巳
    • Organizer
      第6回分子科学討論会
    • Place of Presentation
      東京(東京大学)
    • Year and Date
      20120900
  • [Presentation] Symmetry rules for electronic excitations between degenerate orbitals in high-symmetry systems2012

    • Author(s)
      H. Nakai
    • Organizer
      XXI International Symposium on The Jahn-Teller Effect : Physics and Chemistry of Symmetry Breaking (JT-XXI)
    • Place of Presentation
      Tukuba, Japan
    • Year and Date
      20120800
  • [Presentation] Linear-scaling divide-and- conquer calculations for nonlocal excited states of large systems2012

    • Author(s)
      H. Nakai
    • Organizer
      17th Quantum Systems in Chemistry and Physics (QSCP-XVII)
    • Place of Presentation
      Turku, Finland
    • Year and Date
      20120800
  • [Presentation] 核・電子軌道(NOMO)法における振動波動関数の解析2012

    • Author(s)
      中井浩巳
    • Organizer
      第15回理論化学討論会
    • Place of Presentation
      宮城(仙台福祉プラザ)
    • Year and Date
      20120500
  • [Presentation] Challenges toward practical quantum chemical method2011

    • Author(s)
      H. Nakai
    • Organizer
      The 5th Asian Pacific Conference on Theoretical & Computational Chemistry (APCTCC-5)
    • Place of Presentation
      Rotorua, New Zealand
    • Year and Date
      20111200
  • [Presentation] Two-component relativistic quantum theory for large systems2011

    • Author(s)
      H. Nakai
    • Organizer
      Recent Advances in Many-Electron Theories II (RAMET-II)
    • Place of Presentation
      Puri, India
    • Year and Date
      20111200
  • [Presentation] 電子状態理論と高次系分子科学2011

    • Author(s)
      中井浩巳
    • Organizer
      分子研研究会『実験と理論による高次分子システムの機能発現の分子論的理解』
    • Place of Presentation
      岡崎,
    • Year and Date
      20111100
  • [Presentation] Relativistic quantum theory for large systems2011

    • Author(s)
      H. Nakai
    • Organizer
      16th Quantum Systems in Chemistry and Physics (QSCP-XVI)
    • Place of Presentation
      Kanazawa, Japan
    • Year and Date
      20110900
  • [Presentation] Novel approaches in density functional theory to treat core excitations and weak interactions2011

    • Author(s)
      H. Nakai
    • Organizer
      The 9th Congress of the World Association of Theoretical and Computational Chemists (WATOC2011)
    • Place of Presentation
      Santiago de Compostela, Spain
    • Year and Date
      20110700
  • [Presentation] 理論化学の新展開2011

    • Author(s)
      中井浩巳
    • Organizer
      日本コンピュータ化学会2011春季年会&10周年記念シンポジウム
    • Place of Presentation
      大岡山
    • Year and Date
      20110600
  • [Presentation] Linear-scaling electronic structure calculation program based on divide-and-conquer method2011

    • Author(s)
      H. Nakai, M. Kobayashi
    • Organizer
      International Conference on Computational Science (ICCS2011)
    • Place of Presentation
      Singapore
    • Year and Date
      20110600
  • [Presentation] 2次元紫外・可視分光法の3次応答への拡張2011

    • Author(s)
      平塚暁裕、赤間知子、矢ヶ崎琢磨、斉藤真司、中井浩巳
    • Organizer
      日本コンピュータ化学会2011春季年会&10周年記念シンポジウム
    • Place of Presentation
      東京工業大学・東京.
    • Year and Date
      20110600
  • [Presentation] Development of linear-scaling electronic-structure calculation based on divide-and-conquer approach2011

    • Author(s)
      Hiromi Nakai
    • Organizer
      ACS Spring 2011 National meeting & Exposition
    • Place of Presentation
      Anaheim (USA)
    • Year and Date
      20110300
  • [Presentation] 電子状態理論の理論開発とプログラム公開 : 分割統治(DC)法のGAMESS実装を例に2011

    • Author(s)
      中井浩巳
    • Organizer
      スーパーコンピュータワークショップ2011
    • Place of Presentation
      岡崎
    • Year and Date
      20110100
  • [Presentation] Meso-scale Quantum Chemistry2011

    • Author(s)
      Hiromi Nakai
    • Organizer
      The 5th Global COE International Symposium on 'Practical Chemical Wisdom'
    • Place of Presentation
      Tokyo (Japan)
    • Year and Date
      20110100
  • [Presentation] Theoretical study on the electronic structure and catalytic activity of metal complex, cluster, and surface2010

    • Author(s)
      Hiromi Nakai
    • Organizer
      2010 International Chemical Congress of Pacific Basin Societies (Pacifichem 2010)
    • Place of Presentation
      Honolulu (USA)
    • Year and Date
      20101200
  • [Presentation] Recent development of divide-and-conquer electronic structure calculation : Application to open-shell system2010

    • Author(s)
      Hiromi Nakai
    • Organizer
      2010 International Chemical Congress of Pacific Basin Societies (Pacifichem 2010)
    • Place of Presentation
      Honolulu (USA)
    • Year and Date
      20101200
  • [Presentation] Linear-Scaling Divide-and-Conquer Electronic Structure Theory2010

    • Author(s)
      Hiromi Nakai
    • Organizer
      Workshop on Simulation and Modeling of Emerging Electronics (SMEE)
    • Place of Presentation
      Hong Kong (China)
    • Year and Date
      20101200
  • [Presentation] 大規模電子相関計算手法に対する最近の発展2010

    • Author(s)
      中井浩巳
    • Organizer
      日本物理学会秋季大会2010
    • Place of Presentation
      堺
    • Year and Date
      20100900
  • [Presentation] Novel Approaches for Core Excitations and Weak Interactions in Density Functional Theory (II)2010

    • Author(s)
      Hiromi Nakai
    • Organizer
      The Fifteenth International Workshop on Quantum Systems in Chemistry and Physics (QSCP-XV)
    • Place of Presentation
      Cambridge (UK)
    • Year and Date
      20100800-0900
  • [Presentation] 実在系の電子状態理論 : 成果と課題2010

    • Author(s)
      中井浩巳
    • Organizer
      科研費特定領域「実在系の分子理論」シンポジウム
    • Place of Presentation
      岡崎
    • Year and Date
      20100700
  • [Book] Description of core ionized and excited states by density functional theory and time-dependent density functional theory, 'Quantum Systems in Chemistry and Physics : Progress in Methods and Applications' Progress in Theoretical Chemistry and Physics, B 26, K. Nishikawa, J. Maruani, E. J. Brandas, G. Delgado-Barrio, P. Piecuch, (Eds.)2012

    • Author(s)
      Y. Imamura, H. Nakai
    • Total Pages
      275-308
  • [Book] 化学原理の発見 : 縮重系励起の対称則, J. Comput. Chem. Jpn., 11(1)2012

    • Author(s)
      H. Nakai
    • Total Pages
      1-12
  • [Book] 巨大分子系の量子化学法,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」2012

    • Author(s)
      中井浩巳
    • Total Pages
      52-60
  • [Book] 量子化学に基づく原子・分子のシミュレーション,日本シミュレーション学会誌「シミュレーション」, 30(4)2011

    • Total Pages
      5-12
  • [Book] 理論化学における理論の革新,化学のブレークスルー2011

    • Author(s)
      中井浩巳
    • Total Pages
      159-163
    • Publisher
      化学同人
  • [Book] 炭素原子の電子配置,「炭素学」, 田中一義, 東原秀和, 篠原久典編2011

    • Author(s)
      中井浩巳
    • Total Pages
      19-38
    • Publisher
      化学同人
  • [Book] ナノ科学のための分割統治量子化学計算法,ナノ学会会報「次世代スパコン特集」, 9(2)2011

    • Author(s)
      小林正人, 中井浩巳
    • Total Pages
      85-89
  • [Book] 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, Phys. Chem. Chem. Phys.

    • Author(s)
      M. Kobayashi, H. Nakai
  • [Remarks]

    • URL

      http://www.chem.waseda.ac.jp/nakai/

URL: 

Published: 2014-08-29  

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