Abstract
We assume a chemical reaction along a valley path crossing a saddle point (SP1) of the PES. We at first also assume no occurrence of zero eigenvalues of the Hessian orthogonal on the path, which would exclude valley path bifurcation. Starting from a minimum in the direction of the eigenvector of the weakest positive eigenvalue of H(x) upwards in the energy mountains, a simple and deep valley will be traced.
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Heidrich, D., Kliesch, W., Quapp, W. (1991). Analysis of Multidimensional Potential Energy Surfaces — Paths —. In: Properties of Chemically Interesting Potential Energy Surfaces. Lecture Notes in Chemistry, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93499-5_3
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DOI: https://doi.org/10.1007/978-3-642-93499-5_3
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