Abstract
An efficient and stable method of searching for optimum structures of
molecules containing cyclic parts is proposed, where both the
Cartesian and the internal coordinates are improved independently at
each iteration of the optimization, and are used for the next geometry
of the cyclic parts and of the remaining parts, respectively. The
utilization of the Cartesian coordinates at the cyclic parts avoids
the disastrous and irrecoverable distortions, which frequently occur
if one uses the internal coordinates. For the remaining parts, the
internal coordinates are used, so that an efficient calculation is
obtained. The present method is tested in the search for the
geometries of pyridine and ethylene oxide in the ground state and
compared with the usual methods which employ either the internal
coordinates or the Cartesian coordinates as optimization variables;
the authors' method is found to be more efficient and more stable than
the usual methods.