Jm. Bofill, AN UPDATED HESSIAN FORMULA FOR OPTIMIZING TRANSITION STRUCTURES WHICHEXPLICITLY CONTAINS THE POTENTIAL STRUCTURE OF THE DESIRED TRANSITIONVECTOR, Chemical physics letters, 260(3-4), 1996, pp. 359-364
A formula for updating the Hessian matrix during the geometry optimiza
tion of first-order saddle points is reported. The updating formula co
ntains explicitly the desired transition vector which, in principle, w
arrants the correct convergence. The mathematical structure of this fo
rmula is close to the Murtagh-Sargent-Powell formula used in the locat
ion of transition structures. A sketch of the algorithm and examples a
re reported.