Yz. Xu et al., FRACTAL PHENOMENA IN MOLECULAR MECHANICS CALCULATION, Science in China. Series B, Chemistry, life sciences & earth sciences, 40(4), 1997, pp. 419-427
It is proposed that in molecular mechanics calculation points belongin
g to various stable or meta-stable conformers are mixed up and form fr
actal structures in conformation space. The calculation results show t
he following two phenomena: (i) Two levels of structure with fractal f
eature were observed. Around the conformer without mirror symmetry, po
ints belonging to the conformer and its enantiomer are mixed up and fo
rm the first level of fractal structure; on the boundary of the attrac
tive basin of each attractor, points belonging to different attractors
form the second level of fractal structure. (ii) The variation of mol
ecular mechanics parameters will influence the structure and area of e
ach attractive basin significantly. The above phenomena may become the
basis of a new method for solving the troublesome multi-minimum-point
problem in molecular mechanics calculation.