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Published 2011 | Published
Journal Article Open

Reactive scattering with row-orthonormal hyperspherical coordinates. 4. Four-dimensional-space Wigner rotation function for pentaatomic systems

Abstract

The row-orthonormal hyperspherical coordinate (ROHC) approach to calculating state-to-state reaction cross sections and bound state levels of N-atom systems requires the use of angular momentum tensors and Wigner rotation functions in a space of dimension N − 1. The properties of those tensors and functions are discussed for arbitrary N and determined for N = 5 in terms of the 6 Euler angles involved in 4-dimensional space.

Additional Information

© 2011 Owner Societies. Received 18 Dec 2010, Accepted 14 Feb 2011. First published on the web 08 Apr 2011. The author wishes to express his appreciation to Prof. Raphael D. Levine, who some 35 years ago first called his attention to early work in hyperspherical coordinates.

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Published - Kuppermann2011p13816Physical_Chemistry_Chemical_Physics.pdf

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Created:
August 19, 2023
Modified:
October 23, 2023