Ll. Stacho et al., "Comment" on the reply to the paper "On the Elber-Karplus reaction path-following method and related procedures", J MATH CHEM, 29(3), 2001, pp. 169-175
The flaws in the "Reply" [1] to our paper [2] have been pointed out. Elber
and Karplus (EK) have not disproved our irrefutable global statement that t
he energy average cannot be minimized which rebuts the theoretical backgrou
nd of EK-type calculations. Another statement of ours has shown that even a
curve for which the average energy is locally minimal for all directional
perturbations in the sense of classical variational calculus cannot be iden
tical with the reaction path (RP) defined as a steepest descent path (SDP).
EK found an error in the early preprint of our theoretical paper [3] and b
ecause of this error they qualified our correct variational statement as fa
lse for all the SDPs consisting of a straight line each. Mixing global and
variational arguments, EK refuted our criticism in a logically incorrect ma
nner. In this Comment we prove that both of our earlier statements invariab
ly remain in force and the criticism included in those has been as well-est
ablished and solid as was before.