The pathway of steepest descent on a potential-energy surface is independent of the choice of the coordinate system. The same can be shown from the zero eigenvalue of the Hessian matrix. Thus, the valley-ridge-inflection points of the potential-energy surface does not move under a coordinate transformation.
CITATION STYLE
Quapp, W. (2001). Comment on “Critical points and reaction paths characterization on a potential energy hypersurface” [J. Chem. Phys. 112 , 4923 (2000)]. The Journal of Chemical Physics, 114(1), 609–610. https://doi.org/10.1063/1.1330237
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