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2009 Fiscal Year Final Research Report

Relativistic calculation of NMR spectrum parameters

Research Project

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Project/Area Number 18550003
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Physical chemistry
Research InstitutionKitami Institute of Technology

Principal Investigator

FUKUI Hiroyuki  Kitami Institute of Technology, 工学部, 教授 (30002041)

Co-Investigator(Kenkyū-buntansha) HUNAKI Munoru   (90113711)
Project Period (FY) 2006 – 2009
Keywords量子化学 / NMR / 化学シフト / Dirac方程式 / 相対論的効果
Research Abstract

A solution for the Dirac equation has a form of 4x1 column vector and called a four-component spinor. There are two methods for solving the Dirac equation. One of them is the two component method in which the lower 2 components are eliminated using the upper 2 components. The other one is the four component method in which the four components are calculated simultaneously. In the research, both the two methods are used to evaluate the relativistic effects on NMR parameters.

  • Research Products

    (12 results)

All 2009 2008 2007 2006 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (4 results) Book (2 results)

  • [Journal Article] Relativistic calculation of nuclear magnetic shielding tensor using the regular approximation to the normalized elimination of the small component. III. Introduction of gauge-including atomic orbitals and a finite-size nuclear model2008

    • Author(s)
      S. Hamaya, M. Maeda, M. Funaki, H. Fukui
    • Journal Title

      The Journal of Chemical Physics Vol. 129

      Pages: 224103 1-10

    • Peer Reviewed
  • [Journal Article] Decoupling of the Dirac equation correct to the third order for the magnetic perturbation2007

    • Author(s)
      Y. Ootani, H. Maeda, H. Fukui
    • Journal Title

      The Journal of Chemical Physics Vol. 127

      Pages: 084117 1-7

    • URL

      http://hdl.handle.net./10213/1409

    • Peer Reviewed
  • [Journal Article] Relativistic calculation of nuclear magnetic shielding tensor using the regular approximation to the normalized elimination of the small component. II. Consideration of perturbations in the metric operator2007

    • Author(s)
      H. Maeda, Y. Ootani, H. Fukui
    • Journal Title

      The Journal of Chemical Physics Vol. 126

      Pages: 174102 1-6

    • URL

      http://hdl.handle.net./10213/1408

    • Peer Reviewed
  • [Journal Article] Relativistic calculation of nuclear magnetic shielding tensor including two-component spin-orbit interactions2006

    • Author(s)
      Y. Ootani, H. Yamaguchi, H. Maeda, H. Fukui
    • Journal Title

      The Journal of Chemical Physics Vol. 125

      Pages: 164106 1-4

    • URL

      http://hdl.handle.net./10213/1403

    • Peer Reviewed
  • [Journal Article] Relativistic calculation of nuclear magnetic shielding using normalized elimination of the small component2006

    • Author(s)
      K. Kudo, H. Maeda, T. Kawakubo, Y. Ootani, M. Funaki, H. Fukui
    • Journal Title

      The Journal of Chemical Physics Vol. 124

      Pages: 224106 1-7

    • Peer Reviewed
  • [Journal Article] Dirac-Hartree-Fock perturbation calculation of magnetic shielding using the external field-dependent restricted magnetic balance condition

    • Author(s)
      Hamaya, H. Fukui
    • Journal Title

      The Bulletin of the Chemical Society of Japan (in press)

    • Peer Reviewed
  • [Presentation] Dirac-Hartree-Fock perturbation calculation of magnetic shieldings using gauge-including atomic orbitals2009

    • Author(s)
      S. Hamaya, H. Fukui
    • Organizer
      13^<th> International Congress of Quantum Chemistry
    • Place of Presentation
      Helsinki, Finland
    • Year and Date
      20090600
  • [Presentation] Relativistic calculation of nuclear magnetic shielding using normalized elimination of the small component2006

    • Author(s)
      K. Kudo, H. Maeda, T. Kawakubo, Y. Ootani, M. Funaki, H. Fukui
    • Organizer
      12^<th> International Congress of Quantum Chemistry
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      20060500
  • [Presentation] Relativistic calculation of nuclear magnetic shieldings using a unitary transformation of the Dirac equation2006

    • Author(s)
      K. Kudo, H. Fukui
    • Organizer
      12^<th> International Congress of Quantum Chemistry
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      20060500
  • [Presentation] Relativistic calculation of nuclear magnetic shieldings of xenon difluoride2006

    • Author(s)
      K. Kudo, Y. Ootani, M. Funaki, H. Fukui
    • Organizer
      12^<th> International Congress of Quantum Chemistry
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      20060500
  • [Book] The Royal Society of Chemistry, Specialist Periodical Reports on Nuclear Magnetic Resonance2009

    • Author(s)
      H. Fukui
    • Total Pages
      166-193
  • [Book] Modern Magnetic Resonance

    • Author(s)
      H. Fukui
    • Total Pages
      75-79
    • Publisher
      Springer

URL: 

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

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