Skip to main content
SpringerLink
Log in

Mass-Related Dynamical Barriers in Triatomic Reactions

  • Published:
Few-Body Systems Aims and scope Submit manuscript

Abstract.

A methodology is given to determine the effect of different mass distributions for triatomic reactions using the geometry of shape space. Atomic masses are incorporated into the non-Euclidean shape space metric after the separation of rotations. Using the equations of motion in this non-Euclidean shape space, an averaged field of velocity-dependent fictitious forces is determined. This force field, as opposed to the force arising from the potential, dominates branching ratios of isomerization dynamics of a triatomic molecule. This methodology may be useful for qualitative prediction of branching ratios in general triatomic reactions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • S. Datz M. Larsson C. Stromholm G. Sundström V. Zengin H. Danared A. Källberg M. af Ugglas (1995) Phys. Rev. A52 2901 Occurrence Handle1995PhRvA..52.2901D

    ADS  Google Scholar 

  • Y. Q. Gao R. A. Marcus (2001) Science 293 259 Occurrence Handle10.1126/science.1058528 Occurrence Handle2001Sci...293..259G

    Article  ADS  Google Scholar 

  • S. Y. Grebenshchikov R. Schinke P. Fleurat-Lessard M. Joyeux (2003) J. Chem. Phys. 119 6512 Occurrence Handle10.1063/1.1603737 Occurrence Handle2003JChPh.119.6512G

    Article  ADS  Google Scholar 

  • J. E. Marsden T. S. Ratiu J. Scheurle (2000) J. Math. Phys. 41 3379 Occurrence Handle1768627 Occurrence Handle10.1063/1.533317 Occurrence Handle2000JMP....41.3379M

    Article  MathSciNet  ADS  Google Scholar 

  • A. Guichardet (1984) Ann. Inst. H. Poincaré 40 329 Occurrence Handle0545.53008 Occurrence Handle770086

    MATH  MathSciNet  Google Scholar 

  • T. Iwai (1987) J. Math. Phys. 28 1315 Occurrence Handle890002 Occurrence Handle10.1063/1.527534 Occurrence Handle1987JMP....28.1315I

    Article  MathSciNet  ADS  Google Scholar 

  • R. G. Littlejohn M. Reinsch (1997) Rev. Mod. Phys. 69 213 Occurrence Handle1432649 Occurrence Handle10.1103/RevModPhys.69.213 Occurrence Handle1997RvMP...69..213L

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Control and Dynamical Systems, MC 107-81, California Institute of Technology, 91125, Pasadena, CA, USA

    T. Yanao, W. S. Koon & J. E. Marsden

Authors
  1. T. Yanao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. S. Koon
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. E. Marsden
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yanao, T., Koon, W. & Marsden, J. Mass-Related Dynamical Barriers in Triatomic Reactions. Few-Body Systems 38, 161–166 (2006). https://doi.org/10.1007/s00601-005-0138-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-005-0138-7

Keywords

Search

Navigation