• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Dynamical Origin of Statistical Behavior in Chemical Reactions

Research Project

Project/Area Number 10640484
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Physical chemistry
Research InstitutionThe University of Tokyo

Principal Investigator

SOMEDA Kiyohiko  The University of Tokyo, Graduate School of Arts and Sciences, Associate Professor, 大学院・総合文化研究科, 助教授 (20206692)

Project Period (FY) 1998 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2001: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2000: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1999: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1998: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsStatistical Theory / Semiclassical Quantization / Intramolecular Vibrational Energy Re-distribution / Feature State / Classical S-matrix / 振動非弾性衝突 / ウィグナー表示
Research Abstract

1. Hierarchical Structure of Molecular Dynamics
(1) We proposed a novel technique called "derivative state analysis", which enables us to grasp a hierarchical structure in the sequential intramolecular vibrational energy re-distribution (IVR), and applied it to acetylene molecule. Wave function of feature state in vibrationally highly excited state of water was calculated for the first time. We proposed an experimental method, in which a hierarchical structure of IVR can be detected based on the technique of fs-laser chemistry.
(2) We presented a basic theory to rationalize the existence of irreversible relaxation on the basis of quantum mechanics, This theory clarifies the connection between the relaxation rate and structure of molecular energy levels.
2. We clarified the origin of randomness observed in molecular collisions. Semiclassical theory shows that when underlying classical dynamics is chaotic, an infinite number of classical paths contribute to quantum mechanical transition amplitudes. In that case, the transition amplitudes behave as Gaussian random numbers due to the central limit theorem. This randomness can be one possible origin of statistical behavior in chemical reactions.
3. Ionization of diatomic molecules in intense laser fields was investigated. When the laser intensity exceeds a threshold, diatomic molecules exhibit stabilization against ionization. In the present study, the stabilization is ascribable to overlapping resonance. On the other hand, the origin of RRKM behavior, which is widely regarded as a representative case of the statistical behavior, is also shown to be overlapping resonance. Ionization in intense fields and statistical behavior are linked with a profound connection through overlapping resonance, which is a phenomenon typical to strongly-coupled systems.

Report

(5 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (33 results)

All Other

All Publications (33 results)

  • [Publications] K.Someda, S.Fuchigami: "Secular Dynamics in Intramolecular Vibrational Energy Re-distribution and Secular Increase of Relative Entropy"The Journal of Physical Chemistry. A102. 9454-9463 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.Hasegawa, K.Someda: "Derivative State Analysis of Intramolecular Vibrational Energy Re-distribution of Acetylene"The Journal of Chemical Physics. 110. 11255-11263 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Hiyama, K.Someda: "Stabilization of Diatomic Molecules against Ionization in Intense Laser Fields : Effects of Overlapping Resonance"Physical Review. A61. 02311-1-02311-8 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.Hashimoto, K.Someda: "Intramolecular Vibrational Energy Re-distribution of Water Molecule Induced by Local-mode Excitation"Chemical Physics Letters. 323. 79-85 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Takahashi, K.Someda: "Classical Irregular Scattering and Fluctuation of Quantum Transition Probability"Chemical Physics Letters. 335. 241-248 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Kanai, K.Someda: "Energy-time Wigner Representation of Density Matrix and Feature States in Sequential Intramolecular Vibrational Energy Re-distribution"Chemical Physics. 277. 61-70 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Someda and S. Fuchigami: "Secular Dynamics in Intramolecular Vibrational Energy Re-distribution and Secular Increase of Relative Entropy"J. Phys. Chem.. A102. 9454-9463 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H. Hasegawa and K. Someda: "Derivative State Analysis of Intramolecular Vibrational Energy Re-distribution of Acetylene"J. Chem. Phys.. 110. 11255-11263 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M. Hiyama and K. Someda: "Stabilization of Diatomic Molecules against Ionization in Intense Laser Fields ; Effects of Overlapping Resonance"Phys. Rev.. A61. 02311 (8) (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N. Hashimoto and K. Someda: "Intramolecular Vibrational Energy Re-distribution of Water Molecule Induced by Local-mode Excitation"Chem. Phys. Letters. 323. 79-85 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S. Takahashi and K. Someda: "Classical Irregular Scattering and Fluctuation of Quantum Transition Probability"Chem. Phys. Letters. 335. 241-248 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M. Kanai and K. Someda: "Energy-time Wigner Representation of Density Matrix and Feature State in Sequential Intramolecular Vibrational Energy Re-distribution"Chem. Phys.. 277. 61-70 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Someda, S.Fuchigami: "Secular Dynamics in Intramolecular Vibrational Energy Re-distribution and Secular Increase of Relative Entropy"The Journal of Physical Chemistry. A102. 9454-9463 (1998)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Hasegawa, K.Someda: "Derivative State Analysis of Intramolecular Vibrational Energy Re-distribution of Acetylene"The Journal of Chemical Physics. 110. 11255-11263 (1999)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Hiyama, K.Someda: "Stabilization of Diatomic Molecules against Ionization in Intense Laser Fields : Effects of Overlapping Resonance"Physical Review. A61. 02311-1-8 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] N.Hashimoto, K.Someda: "Intramolecular Vibrational Energy Re-distribution of Water Molecule Induced by Local-mode Excitation"Chemical Physics Letters. 323. 79-85 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Takahashi, K.Someda: "Classical Irregular Scattering and Fluctuation of Quantum Transition Probability"Chemical Physics Letters. 335. 241-248 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Kanai, K.Someda: "Energy-time Wigner Representation of Density Matrix and Feature States in Sequential Intramolecular Vibrational Energy Re-distribution"Chemical Physics. 277. 61-70 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Someda and S.Fuchigami: "Secular Dynamics in Intramolecular Vibrational Energy Re-distribution and Secular Increase of Relative Entropy"The Journal of Physical Chemistry. A102. 9454-9463 (1998)

    • Related Report
      2000 Annual Research Report
  • [Publications] N.Hashimoto 他: "Probing Intramolecular Vibrational Energy Re-distribution by Using a Pair of Femtosecond Lase Pulse"Chemical Physics Letters. 291. 130-136 (1998)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Hiyama and K.Someda: "Ionization of Atoms in Intense Laser Fields : Strong Mixing of Auto and Photoionizations"Chemical Physics Letters. 287. 613-619 (1998)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Hasegawa and K.Someda: "Derivative State Analysis of Intramolecular Vibrational Energy Re-distribution of Acetylene"The Journal of Chemical Physics. 110. 11255-11263 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Hiyama and K.Someda: "Stabilization of Diatomic Molecules against Ionization in Intense Laser Fields : Effects of Overlapping Resonance"Physical Review. A61(2). 023411-1-023411-8 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] N.Hashimoto and K.Someda: "Intramolecular Vibrational Energy Re-distribution of Water Molecule Induced by Local-mode Excitation"Chemical Physics Letters. 323. 79-85 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.Takahashi and K.Someda: "Classical Irregular Scattering and Fluctuation of Quantum Transition Probability"Chemical Physics Letters. 335. 241-248 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] K. Someda and S. Fuchigami: "Secular Dynamics in Intramolecular Vibrational Energy Re-distribution and Secular Increase of Relative Entropy"The Journal of Physical Chemistry. A102. 9454-9463 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] N. Hashimoto 他: "Probing Intramolecular Vibrational Energy Re-distribution by Using a Pair of Femtosecond Lase Pulse"Chemical Physics Letters. 291. 130-136 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] M. Hiyama and K. Someda: "Ionization of Atoms in Intense Laser Fields : Strong Mixing of Auto-and Photoionizations"Chemical Physics Letters. 287. 613-619 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] H. Hasegawa and K. Someda: "Derivative State Analysis of Intramolecular Vibrational Energy Re-distribution of Acetylene"The Journal of Chemical Physics. 110. 11255-11263 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M. Hiyama and K. Someda: "Stabilization of Diatomic Molecules against Ionization in Intense Laser Fields : Effects of Overlapping Resonance"Physical Review. A61(2). 023411-1-023411-8 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Someda and S.Fuchigami: "Secular Dynamics in Intramolecular Vibrational Energt Re-distribution and Secular Increase of Relative Entropy" The Journal of Physical Chemistry. A102. 9454-9463 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] N.Hashimoto 他: "Probing Intramolecular Vibrational Energy Re-distribution by Using a Pair of Femtosecond Lase Pulse" Chemical Physics Letters. 291. 130-136 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Hiyama and K.Someda: "Ionization of Atoms in Intense Laser Fields: Strong Mixing of Auto- and Photoionizations" Chemical Physics Letters. 287. 613-619 (1998)

    • Related Report
      1998 Annual Research Report

URL: 

Published: 1998-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi