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Symmetry and Thermodynamics from Structured Molecules to Liquid Drops

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The Permutation Group in Physics and Chemistry

Part of the book series: Lecture Notes in Chemistry ((LNC,volume 12))

Abstract

By idealizing both limits, one can construct a correlation diagram for the quantum states of a system of N identical particles whose extremes are a molecule-like polyhedron with separable vibrations and rigid-body rotations, and a fluid cluster. The conceptual approach offers a way to analyze vibration-rotation spectra of nonrigid molecules, and an artifice to interpret the melting and nucleation of small clusters. The approach leads to the use of a conditional probability density in r1 and θ12 for description of two particles bound to a single center (where r2 is fixed), as one probe of the tendency of such a system to adopt a polyhedral structure. A single dimensionless parameter based on the ratio of two energy levels provides a characterization of the degree of non-rigidity of a cluster.

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Author information

Authors and Affiliations

  1. Department of Chemistry and the James Franck Institute, The University of Chicago, Chicago, Illinois, 60637, USA

    R. Stephen Berry

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  1. R. Stephen Berry
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Editor information

Editors and Affiliations

  1. Fakultät für Chemie, Universität Bielefeld, Universitätsstr, Postfach 8640, 4800, Bielefeld, Germany

    Jürgen Hinze

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© 1979 Springer-Verlag Berlin Heidelberg

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Berry, R.S. (1979). Symmetry and Thermodynamics from Structured Molecules to Liquid Drops. In: Hinze, J. (eds) The Permutation Group in Physics and Chemistry. Lecture Notes in Chemistry, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93124-6_7

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  • DOI: https://doi.org/10.1007/978-3-642-93124-6_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09707-5

  • Online ISBN: 978-3-642-93124-6

  • eBook Packages: Springer Book Archive

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