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2009 Fiscal Year Final Research Report

Development of accelerated quantum dynamics theory

Research Project

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Project/Area Number 18066016
Research Category

Grant-in-Aid for Scientific Research on Priority Areas

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Research InstitutionWaseda University

Principal Investigator

NAKAI Hiromi  Waseda University, 理工学術院, 教授 (00243056)

Co-Investigator(Renkei-kenkyūsha) IMAMURA Yutaka  早稲田大学, 理工学術院, 助教 (60454063)
KOBAYASHI Masato  早稲田大学, 理工学術院, 講師 (40514469)
SATO Takeshi  早稲田大学, 理工学術院, 講師 (30507091)
KIKUCHI Yasuaki  早稲田大学, 理工学術院, 助手 (00434283)
ATSUMI Teruo  早稲田大学, 理工学術院, 助手 (30514210)
Project Period (FY) 2006 – 2009
Keywords核 / 電子軌道理論 / 非経験的分子動力学法 / 分割統治電子相関法 / エネルギー密度解析 / 局所応答分散力法 / 凍結軌道解析
Research Abstract

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.

  • Research Products

    (51 results)

All 2010 2009 2008 2007 2006

All Journal Article (47 results) (of which Peer Reviewed: 47 results) Presentation (4 results)

  • [Journal Article] Time-dependent Hartree-Fock frequencydependent polarizability calculation applied to divide-and-conquer electronic structure method2010

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

      Chem. Phys. Lett. 485(1-3)

      Pages: 247-252

    • Peer Reviewed
  • [Journal Article] Short-time Fourier transform analysis of real-time time-dependent Hartree-Fock and timedependent density functional theory calculations with Gaussian basis functions2010

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

      J. Chem. Phys. 132(5)

      Pages: 0541041-11

    • Peer Reviewed
  • [Journal Article] Extension of energy density analysis to periodic-boundary-condition calculations with plane-wave basis functions2010

    • Author(s)
      Y. Imamura, A. Takahashi, T. Okada, T. Ohno, H. Nakai
    • Journal Title

      Phys. Rev. B 81(11)

      Pages: 1151361-7

    • Peer Reviewed
  • [Journal Article] Application of real-time time-dependent density functional theory with the CV-B3LYP functional to core excitations2010

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

      Chem. Lett. 39(4)

      Pages: 407-409

    • Peer Reviewed
  • [Journal Article] Acceleration of self-consistent-field convergence in ab initio molecular dynamics and Monte Carlo simulations and geometry optimization2010

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

      Chem. Phys. Lett. 490(1-3)

      Pages: 102-108

    • Peer Reviewed
  • [Journal Article] Implementation of divide-and-conquer electronic structure code to GAMESS program package2009

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

      J. Comput. Chem. Jpn. 8(1)

      Pages: 1-12

    • Peer Reviewed
  • [Journal Article] One-body energy decomposition schemes revisited: Assessment of Mulliken-, grid-, and conventional energy density analyses2009

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

      Int. J. Quant. Chem. 109(11)

      Pages: 2464-2473

    • Peer Reviewed
  • [Journal Article] Dual-level hierarchical scheme for linear-scaling divide-and-conquer correlation theory2009

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

      Int. J. Quant. Chem. 109(10)

      Pages: 2227-2237

    • Peer Reviewed
  • [Journal Article] Electronic temperature in divide-andconquer electronic structure calculation revisited: Assessment and improvement of self-consistent field convergence2009

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

      Int. J. Quant. Chem. 109(12)

      Pages: 2706-2713

    • Peer Reviewed
  • [Journal Article] Extension of frozen orbital analysis to the Tamm-Dancoff approximation to time-dependent density functional theory2009

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

      Chem. Lett. 38(6)

      Pages: 528-529

    • Peer Reviewed
  • [Journal Article] Extension of density functional theory to nuclear orbital plus molecular orbital theory: Self-consistent field calculations with the Colle- Salvetti electron-nucleus correlation functional2009

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

      Bull. Chem. Soc. Jpn. 82(9)

      Pages: 1133-1139

    • Peer Reviewed
  • [Journal Article] Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations2009

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

      J. Chem. Phys. 131(11)

      Pages: 1141081-9

    • Peer Reviewed
  • [Journal Article] Density functional method including weak interactions: dispersion coefficients based on the local response approximation2009

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

      J. Chem. Phys. 131(22)

      Pages: 2241041-12

    • Peer Reviewed
  • [Journal Article] Colle-Salvetti-type correction for electronnucleus correlation in the nuclear orbital plus molecular orbital theory2008

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

      Comput. Chem. 29(5)

      Pages: 735-740

    • Peer Reviewed
  • [Journal Article] Energy density analysis for second-order Moller-Plesset perturbation theory and coupled cluster theory with singles and doubles: Applications to C2H4-CH4 complexes2008

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

      J. Comput. Chem. 29(10)

      Pages: 1555-1563

    • Peer Reviewed
  • [Journal Article] Molecular orbital propagation to accelerate self-consistent-field convergence in an ab initio molecular dynamics simulation2008

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

      J. Chem. Phys. 128(9)

      Pages: 0941011-9

    • Peer Reviewed
  • [Journal Article] Analysis on excitations of molecules with Ih symmetry: Frozen orbital analysis and general rules2008

    • Author(s)
      T. Baba, Y. Imamura, M. Okamoto, H. Nakai
    • Journal Title

      Chem. Lett. 37(3)

      Pages: 322-323

    • Peer Reviewed
  • [Journal Article] Natural bond orbital based energy density analysis for correlated methods: Second-order Moller-Plesset perturbation and coupled-cluster singles and doubles2008

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

      Int. J. Quant. Chem. 108(8)

      Pages: 1316-1325

    • Peer Reviewed
  • [Journal Article] Application of the Sakurai-Sugiura projection method to core-excited-state calculation by time-dependent density functional theory2008

    • Author(s)
      T. Tsuchimochi, M. Kobayashi, A. Nakata, Y. Imamura, H. Nakai
    • Journal Title

      J. Comput. Chem. 29(14)

      Pages: 2311-2316

    • Peer Reviewed
  • [Journal Article] Discovery of hexacoordinate hypervalent carbon compounds: Density functional study2008

    • Author(s)
      Y. Kikuchi, M. Ishii, K. -y. Akiba, H. Nakai
    • Journal Title

      Chem. Phys. Lett. 460(1-3)

      Pages: 37-41

    • Peer Reviewed
  • [Journal Article] 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 complex2008

    • Author(s)
      H. Nakai, J. Suzuki, Y. Kikuchi
    • Journal Title

      Chem. Phys. Lett. 460(1-3)

      Pages: 347-351

    • Peer Reviewed
  • [Journal Article] Extension of linear-scaling divide-andconquer- based correlation method to coupled cluster theory with singles and doubles excitations2008

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

      J. Chem. Phys. 129(4)

      Pages: 0441031-9

    • Peer Reviewed
  • [Journal Article] Analysis of self-interaction correction for describing core excited states2007

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

      Int. J. Quant. Chem. 107(1)

      Pages: 23-29

    • Peer Reviewed
  • [Journal Article] Description of core excitations by time-dependent density functional theory with local density approximation, generalized gradient approximation, meta-generalized gradient approximation, and hybrid functionals2007

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

      J. Comput. Chem. 28(12)

      Pages: 2067-2074

    • Peer Reviewed
  • [Journal Article] Wavelet transform analysis of ab initio molecular dynamics simulation: Application to core-excitation dynamics of BF32007

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

      J. Comput. Chem. 28(6)

      Pages: 1137-1144

    • Peer Reviewed
  • [Journal Article] Hybrid treatment combining the translation- and rotation-free nuclear orbital plus molecular orbital theory with generator coordinate method: TRF-NOMO/GCM2007

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

      Chem. Phys. Lett. 433(4-6)

      Pages: 409-415

    • Peer Reviewed
  • [Journal Article] Grid-based energy density analysis: implementation and assessment2007

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

      J. Chem. Phys. 126(3)

      Pages: 0341031-10

    • Peer Reviewed
  • [Journal Article] Ab initio molecular dynamics simulation of energy relaxation process of protonated water dimer2007

    • Author(s)
      Y. Yamauchi, S. Ozawa, H. Nakai
    • Journal Title

      J. Phys. Chem. 111(11)

      Pages: 2062-2066

    • Peer Reviewed
  • [Journal Article] Implementation of divide-and-conquer method including Hartree-Fock exchange interaction2007

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

      J. Comput. Chem. 28(12)

      Pages: 2003-2012

    • Peer Reviewed
  • [Journal Article] Extension of energy density analysis to periodic-boundary-condition calculation: Evaluation of locality in extended system2007

    • Author(s)
      H. Nakai, Y. Kurabayashi, M. Katouda, T. Atsumi
    • Journal Title

      Chem. Phys. Lett. 438(1-3)

      Pages: 132-138

    • Peer Reviewed
  • [Journal Article] Extension of the core-valence-Rydberg B3LYP functional to core-excited-state calculations of third-row atoms2007

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

      J. Chem. Theory Comp. 3(4)

      Pages: 1295-1305

    • Peer Reviewed
  • [Journal Article] Theoretical design of monofunctional psoralen compounds in photochemotherapy2007

    • Author(s)
      A. Nakata, T. Baba, H. Nakai
    • Journal Title

      Bull. Chem. Soc. Jpn. 80(7)

      Pages: 1341-1349

    • Peer Reviewed
  • [Journal Article] Application of bond energy density analysis (Bond-EDA) to Diels-Alder reaction2007

    • Author(s)
      T. Baba, M. Ishii, Y. Kikuchi, H. Nakai
    • Journal Title

      Chem. Lett. 36(5)

      Pages: 616-6178

    • Peer Reviewed
  • [Journal Article] Development of analytic energy gradient method in nuclear orbital plus molecular orbital theory2007

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

      Int. J. Quant. Chem. 107(14)

      Pages: 2575-2585

    • Peer Reviewed
  • [Journal Article] Alternative linear-scaling methodology for the second-order Moller-Plesset perturbation calculation based on the divide-and-conquer method2007

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

      J. Chem. Phys. 127(7)

      Pages: 0741031-8

    • Peer Reviewed
  • [Journal Article] Theoretical determination of hypervalent bond energy of 10-S-3 sulfurane derivatives2007

    • Author(s)
      Y. Yamauchi, K. -y. Akiba, H. Nakai
    • Journal Title

      Chem. Lett. 36(9)

      Pages: 1120-1121

    • Peer Reviewed
  • [Journal Article] Isotope effect in dihydrogen-bonded systems: Application of analytical energy gradient method in the nuclear orbital plus molecular orbital theory2007

    • Author(s)
      H. Nakai, Y. Ikabata, Y. Tsukamoto, Y. Imamura, K. Miyamoto, M. Hoshino
    • Journal Title

      Mol. Phys. 19-22

      Pages: 2649-2657

    • Peer Reviewed
  • [Journal Article] Is the divide-and-conquer Hartree-Fock method valid for calculations of delocalized systems?2007

    • Author(s)
      T. Akama, A. Fujii, M. Kobayashi, H. Nakai
    • Journal Title

      Mol. Phys. 19-22

      Pages: 2799-2804

    • Peer Reviewed
  • [Journal Article] Energy density analysis of cluster size dependence of surface-molecule interactions (II): Formate adsorption onto a Cu(111) surface2006

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

      J. Comput. Chem. 27(8)

      Pages: 917-925

    • Peer Reviewed
  • [Journal Article] M. Kobayashi, H. Nakai2006

    • Author(s)
      Implementation of Surjan's density matrix formulae for calculating second-order Moller- Plesset energy
    • Journal Title

      Chem. Phys. Lett. 420(1-3)

      Pages: 250-255

    • Peer Reviewed
  • [Journal Article] Time-dependent density functional theory calculations for core excited states: Assessment of standard exchange-correlation functionals and development of a novel hybrid functional2006

    • Author(s)
      A. Nakata, Y. Imamura, T. Otsuka, H. Nakai
    • Journal Title

      J. Chem. Phys. 124(9)

      Pages: 0941051-9

    • Peer Reviewed
  • [Journal Article] Non-Born-Oppenheimer effects predicted by translation-free nuclear orbital plus molecular orbital method2006

    • Author(s)
      K. Sodeyama, K. Miyamoto, H. Nakai
    • Journal Title

      Chem. Phys. Lett. 21(1-3)

      Pages: 72-76

    • Peer Reviewed
  • [Journal Article] Elimination of translational and rotational motions in nuclear orbital plus molecular orbital theory: Application of Moller-Plesset perturbation theory2006

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

      J. Chem. Phys. 124(19)

      Pages: 1941101-10

    • Peer Reviewed
  • [Journal Article] Natural atomic orbital based energy density analysis: Implementation and applications2006

    • Author(s)
      T. Baba, M. Takeuchi, H. Nakai
    • Journal Title

      Chem. Phys. Lett. 424(1-3)

      Pages: 193-198

    • Peer Reviewed
  • [Journal Article] "Hybrid exchange-correlation functional for core, valence, and Rydberg excitations2006

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

      J. Chem. Phys. 125(6)

      Pages: 0641091-9

    • Peer Reviewed
  • [Journal Article] Elimination of translational and rotational motions in nuclear orbital plus molecular orbital theory: Contribution of the first-order rovibration coupling2006

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

      J. Chem. Theory Comp. 2(6)

      Pages: 1544-1550

    • Peer Reviewed
  • [Journal Article] Second-order Moller-Plesset perturbation energy obtained from divide-and-conquer Hartree-Fock density matrix2006

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

      J. Chem. Phys. 125(20)

      Pages: 2041061-8

    • Peer Reviewed
  • [Presentation] Theoretical study to realize real systems2010

    • Author(s)
      H. Nakai
    • Organizer
      International Symposium on "Molecular Theory for Real Systems"
    • Place of Presentation
      Kyoto University (Kyoto, Japan)
    • Year and Date
      20100107-20100119
  • [Presentation] WFT and DFT study on weakly interacting systems2009

    • Author(s)
      H. Nakai
    • Organizer
      The 4th Asian Pacific Conference on Theoretical & Computational Chemistry (APCTCC-4)
    • Place of Presentation
      Legend Water Chalets (Port Dickson, Malaysia)
    • Year and Date
      20091221-20091223
  • [Presentation] Novel approaches for core excitations and weak interactions in density functional theory2009

    • Author(s)
      H. Nakai
    • Organizer
      14th Quantum Systems in Chemistry and Physics (QSCP-XIV)
    • Place of Presentation
      Escurial, Spain
    • Year and Date
      20090913-20090918
  • [Presentation] Density functional study on core excitation and weak interaction2009

    • Author(s)
      H. Nakai
    • Organizer
      The 3th Japan-Czech-Slovak Symposium on Theoretical and Computational Chemistry
    • Place of Presentation
      Bratislava, Slovakia
    • Year and Date
      20090909-20090912

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Published: 2011-06-18   Modified: 2016-04-21  

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