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2-Dimensional case (D=2)

As an illustration of the D=2 case, we have applied the above presented algorithm in order to map the energy surface associated with the molecule H tex2html_wrap_inline187 O tex2html_wrap_inline191 (Fig.5) in terms of tex2html_wrap_inline373 . In this case, we have rotated, stochastically, the tex2html_wrap_inline375 and tex2html_wrap_inline377 angles to calculate de molecular energy using de MNDO-PM3 Hamiltonian. As shown in Fig.6a-b, for the compound H tex2html_wrap_inline187 O tex2html_wrap_inline381 the skew tex2html_wrap_inline373 tex2html_wrap_inline385 conformation has been found as the most stable.

To obtain the complete mapping of the energy hyper-surface, in this simple case ( H tex2html_wrap_inline187 O tex2html_wrap_inline191 ), it is necessary to calculate the energy for each pair of angles tex2html_wrap_inline373 variating it in the range [0,360 tex2html_wrap_inline393 ]. This method is computationaly expensive.

Using the present simulated annealing we have obtained a good representative mapping of the energy, as shown in Fig. 6, with 320 iterative cycles only.


Kleber Mundim
Tue Jul 15 15:58:43 CDT 1997