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Published September 15, 1977 | Published
Journal Article Open

A new tunneling path for reactions such as H+H_2→H_2+H

Abstract

The standard tunneling path in transition state theory for reactions such as H+H_2→H_2+H has been the so‐called reaction path, namely the path of steepest ascent to the saddle point. This path is now known to give numerical results for the reaction probability which are in disagreement with the exact quantum mechanical ones by an order of magnitude at low tunneling energies. A new tunneling path corresponding to a line of vibrational endpoints is proposed. It is much shorter and is shown to give results in agreement with the quantum ones to within about a factor of two. A semiclassical basis for choosing this new path is given.

Additional Information

© 1977 American Institute of Physics. Received 20 May 1977. Online Publication Date: 26 August 2008. Supported by a grant from the National Science Foundation.

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