What is redundant internal coordinates?

What is redundant internal coordinates?

opt=Redundant or simply opt keyword. Definition of a set of internally consistent, linearly maximally independent internal coordinates is performed automatically by Gaussian based on the structure supplied in the input file (both Z-Matrix or cartesian coordinates can be used at that point).

What are redundant coordinates?

The ‘redundant’ internal coordinates mean that, the minimum number of internal coordinates needed to describe all the normal modes completely will give extra or redundant ‘null’ coordinate linear combinations, in addition to 3N-6 (or 3N-5) linear combinations (in which some of the coefficients could be zero) which are …

How is the definition of redundant internal coordinates performed?

Redundant Internal Coordinates. Definition of a set of internally consistent, linearly maximally independent internal coordinates is performed automatically by Gaussian based on the structure supplied in the input file (both Z-Matrix or cartesian coordinates can be used at that point).

How is opt = Cartesian used to optimize geometry?

opt=Cartesian will optimize the geometry in Cartesian coordinates For all three options, the optimization algorithm will vary the structure of the system until changes in the gradient and the structure on two successive iterations are smaller than prefixed values (convergence criteria).

How does Gaussian adjust the redundant coordinates in geometry?

Given the additional constraint of a distance of 1.60 Angstrom between H3 and H4, Gaussian adjusts the values of other redundant coordinates such that the specified constraint is satisfied at the beginning of the optimization. This distance will, of course, be varied during the geometry optimization procedure.

How is geometry defined in the input file?

Please observe that the way, the geometry is defined in the input file, is actually separate from deciding, in which coordinate system the optimization will be performed: