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Published February 15, 1996 | public
Journal Article

Reactive Scattering with Row-Orthonormal Hyperspherical Coordinates. 1. Transformation Properties and Hamiltonian for Triatomic Systems

Abstract

The formalism for triatomic reactive scattering using row-orthonormal hyperspherical coordinates is presented. The transformation properties of these coordinates under kinematic rotations and symmetry operations are derived, as is the Hamiltonian of the system. This formalism is compared with the one using symmetrized principal moment of inertia hyperspherical coordinates. Continuity conditions appropriate for the absence and presence of the geometric phase effect associated with conical intersections are considered. The potential application of these two sets of coordinates to tetraatomic systems is discussed. It is shown that the row-orthonormal coordinates are well suited for the treatment of systems of four or more atoms.

Additional Information

© 1996 American Chemical Society. Received: October 30, 1995. The present work was supported by the National Science Foundation, Grant no. CHE 9311401.

Additional details

Created:
August 20, 2023
Modified:
October 18, 2023