A conceptual realization of stationary points using the Hessian matrix

In this study we use surface-fitting equations to generate the energy and its first derivative in terms of two torsional angles in the methanediol model, using GAUSSIAN 88 at the 4-31G level of approximation. The Hessian matrix is further used to locate the stationary points, and a Gaussian fit of the absolute values of the sum of the eigenvalues of the Hessian is used in order to generate a surface in which all the stationary points are identified.