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2003 Fiscal Year Final Research Report Summary

Theoretical studies on superexcited states and photoionization processes of molecules by analytical continuation of Hamiltonian.

Research Project

Project/Area Number 13640516
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Physical chemistry
Research InstitutionKeio University

Principal Investigator

YABUSHITA Satoshi  Keio University, Faculty of Science and Technology, Department of Chemistry, Professor, 理工学部, 教授 (50210315)

Project Period (FY) 2001 – 2003
Keywordsresonance state / Photoionization / Complex coordinate method / derivative basis / STO / GTO / Generic algorithm / Newton-Raphson method
Research Abstract

The purpose of this study is to construct basis sets that are suitable for the complex coordinate method(CCM) and to develop the optimization scheme for the scaling angle θ with the energy gradient method, so that the CCM can be applied to general molecular problems.
We first constructed a so-called derivative basis set, with a minimum θ-dependence. In this basis, all the functions have a common orbital exponent. However, since the derivative basis still contains a small θ-dependence, we further applied the variational principle to have the completely optimal scaling angle θ, or equivalently, complex orbital exponents. By applying this method, the flexibility of the basis set is enhanced greatly, thus the resonance energy can be calculated with a smaller number of basis functions than the case of the derivative basis set. We applied both the Genetic Algorithm and the Newton-Raphson method for the optimization.
The photoionization cross section can be extracted from the imaginary part of the frequency-dependent polarizability, which is in turn derived as a stationary expression of a functional. We applied this variational principle to the calculation of photoionization cross sections of H atom. Contrary to previous L^2 methods, we could obtain very accurate results with only a few complex basis functions, both STOs and GTOs, suggesting the general applicability.

  • Research Products

    (13 results)

All 2005 2004 2003 2001

All Journal Article (11 results) Book (2 results)

  • [Journal Article] Theoretical Study on the Photoabsorption in the Herzberg I Band System of the O_2 Molecule2005

    • Author(s)
      R.Takegami
    • Journal Title

      J. Molec. Spectr. 229

      Pages: 63-77

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Theoretical Study on the Photoabsorption in the Herzberg I Band System of the O_2 Molecule2005

    • Author(s)
      R.Takegami
    • Journal Title

      J.Molec.Spectr. 229

      Pages: 63-77

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Theoretical Study on the Photochromic Reactions of Dithienylethenes; On the role of Conical Intersections2004

    • Author(s)
      Y.Asano
    • Journal Title

      J. Am. Chem. Soc. 126

      Pages: 12112-12120

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Theoretical Study on the Photochro mic Reactions of Dithienylethenes ; On the role of Conical Intersections2004

    • Author(s)
      Y.Asano
    • Journal Title

      J.Am.Chem.Soc. 126

      Pages: 12112-12120

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Theoretical study of nonadiabatic transitions in the photodissociation of Cl_2 and Br_22003

    • Author(s)
      Y.Asano
    • Journal Title

      Chem.Phys.Lett. 372

      Pages: 348-354

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Theoretical study on the nonadiabatic transitions in the photodissociation of Cl_2, Br_2, and I_22003

    • Author(s)
      Y.Asano
    • Journal Title

      Bull. Korean Chem. Soc. 24

      Pages: 703-711

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Theoretical Analysis on the Fundamental and Overtone OH Stretching Spectra of Several Simple Acides and Alcohols2003

    • Author(s)
      K.Takahashi
    • Journal Title

      J. Phys. Chem.A 107

      Pages: 11092-11101

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Theoretical study on the nonadiabatic transitions in the photodissociation of Cl_2,Br_2,and I_22003

    • Author(s)
      Y.Asano
    • Journal Title

      Bull.Korean Chem.Soc. 24

      Pages: 703-711

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Theoretical Analysis on the Fundamental and Overtone OH Stretching Spectra of Several Simple Acids and Alcohols2003

    • Author(s)
      K.Takahashi
    • Journal Title

      J.Phys.Chem.A 107

      Pages: 11092-11101

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Theoretical study on the nonadiabatic transitions in the photodissociation processes of Cl_22001

    • Author(s)
      Y.Asano
    • Journal Title

      Journal of Physical Chemistry, A 105

      Pages: 9873-9882

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Theoretical study on the nonadiabatic transitions in the photodissociation processes of Cl_22001

    • Author(s)
      Y.Asano
    • Journal Title

      J.Phys.Chem.A 105

      Pages: 9873-9882

    • Description
      「研究成果報告書概要(欧文)」より
  • [Book] 第5版 実験化学講座12巻2004

    • Author(s)
      藪下 聡
    • Total Pages
      18
    • Publisher
      丸善(日本化学会編)
    • Description
      「研究成果報告書概要(和文)」より
  • [Book] The Fifth Series of Experimental Chemistry, Vol.12 Computational Chemistry2004

    • Author(s)
      S.Yabushita
    • Total Pages
      18
    • Publisher
      Maruzen Company LTD
    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2007-12-13  

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