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Topology of cyclo-octane energy landscape

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/20177

Topology of cyclo-octane energy landscape

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Title: Topology of cyclo-octane energy landscape
Author: Coutsias, Evangelos A.; Martin, Shawn; Thompson, Aidan; Watson, Jean-Paul
Abstract: Understanding energy landscapes is a major challenge in chemistry and biology. Although a wide variety of methods have been invented and applied to this problem, very little is understood about the actual mathematical structures underlying such landscapes. Perhaps the most general assumption is the idea that energy landscapes are low-dimensional manifolds embedded in high-dimensional Euclidean space. While this is a very mild assumption, we have discovered an example of an energy landscape which is nonmanifold, demonstrating previously unknown mathematical complexity. The example occurs in the energy landscape of cyclo-octane, which was found to have the structure of a reducible algebraic variety, composed of the union of a sphere and a Klein bottle, intersecting in two rings.
Date: 2010-06-21
Publisher: American Institute of Physics
Citation: The Journal Of Chemical Physics, 132(234115): 1-7
Description: doi:10.1063/1.3445267
URI: http://hdl.handle.net/1928/20177
ISSN: 0021-9606

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