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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

12 Issues per year

IMPACT FACTOR 2016: 1.432

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 0.403
Source Normalized Impact per Paper (SNIP) 2017: 0.632

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Volume 41, Issue 3


Homology of a Structurally Stable Chemical Rearrangement

Ariel Fernández
Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-1986-0311

The structural stability in the sense of Adronov and Pontriagin is proved to be a property of any rearrangement occurring in a single electronic state sheet of the potential energy surface if such a rearrangement involves two internal degrees of freedom. It is then shown that features of no dynamical significance (the paths of steepest descent joining critical configurations) determine completely those of dynamical significance: The topology of the set of paths of steepest descent determines the triangulation of the nuclear configuration space which is rigorously derived from homology theory.

Keywords: Structural stability of dynamical systems - Intrinsic reaction coordinate - 1,3-sigmatropic rearrangement

About the article

Received: 1985-07-29

Published Online: 2014-06-02

Published in Print: 1986-03-01

Citation Information: Zeitschrift für Naturforschung A, Volume 41, Issue 3, Pages 526–528, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-1986-0311.

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© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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