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case (D=1)
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 O (Fig.5) in terms of . In this case, we have rotated, stochastically, the and angles to calculate de molecular energy using de MNDO-PM3 Hamiltonian. As shown in Fig.6a-b, for the compound H O the skew conformation has been found as the most stable.
To obtain the complete mapping of the energy hyper-surface, in this simple case ( H O ), it is necessary to calculate the energy for each pair of angles variating it in the range [0,360 ]. 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.