Comment on “Critical points and reaction paths characterization on a potential energy hypersurface” [J. Chem. Phys. 112 , 4923 (2000)]

Abstract

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.