### 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.

Original language | English |
---|---|

Pages (from-to) | 161-166 |

Number of pages | 6 |

Journal | Few-Body Systems |

Volume | 38 |

Issue number | 2-4 |

DOIs | |

Publication status | Published - 2006 Jun |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Few-Body Systems*,

*38*(2-4), 161-166. https://doi.org/10.1007/s00601-005-0138-7

**Mass-related dynamical barriers in triatomic reactions.** / Yanao, Tomohiro; Koon, W. S.; Marsden, J. E.

Research output: Contribution to journal › Article

*Few-Body Systems*, vol. 38, no. 2-4, pp. 161-166. https://doi.org/10.1007/s00601-005-0138-7

}

TY - JOUR

T1 - Mass-related dynamical barriers in triatomic reactions

AU - Yanao, Tomohiro

AU - Koon, W. S.

AU - Marsden, J. E.

PY - 2006/6

Y1 - 2006/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33745457663&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33745457663&partnerID=8YFLogxK

U2 - 10.1007/s00601-005-0138-7

DO - 10.1007/s00601-005-0138-7

M3 - Article

AN - SCOPUS:33745457663

VL - 38

SP - 161

EP - 166

JO - Few-Body Systems

JF - Few-Body Systems

SN - 0177-7963

IS - 2-4

ER -