The Permutation Group in Physics and Chemistry

1. Front Matter

   Pages I-VI

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2. Counting isomers and Such

   • A. Kerber

   Pages 1-18

3. Application of the Permutation Group to Stereoisomer Generation for Computer Assisted Structure Elucidation

   • James G. Nourse

   Pages 19-27

4. Applications of the Permutation Group in Dynamic Stereochemistry

   • James G. Nourse

   Pages 28-37

5. The Spin Double Groups of Molecular Symmetry Groups

   • P. R. Bunker

   Pages 38-56

6. Relationship Between the Feasible Group and the Point Group of a Rigid Molecule

   • J. D. Louck

   Pages 57-76

7. Some suggestions concerning a geometric definition of the symmetry group of non-rigid molecules

   • Andreas W. M. Dress

   Pages 77-91

8. Symmetry and Thermodynamics from Structured Molecules to Liquid Drops

   • R. Stephen Berry

   Pages 92-120

9. Representations of the Symmetric Group as Special Cases of the Boson Polynomials in U(n)

   • L. C. Biedenharn, J. D. Louck

   Pages 121-147

10. The Permutation Group and the Coupling of n Spin- \( \frac{1}{2} \) Angular Momenta

    • J. D. Louck, L. C. Biedenharn

    Pages 148-163

11. The Permutation Group in Atomic Structure

    • B. R. Judd

    Pages 164-177

12. Double Cosets and the Evaluation of Matrix Elements

    • T. H. Seligman

    Pages 178-192

13. Properties of Double Cosets with Applications to Theoretical Chemistry

    • J. S. Frame

    Pages 193-214

14. The Chirality Algebra

    • Andreas W. M. Dress

    Pages 215-230

The permutation group has gained prominence in the fundamental research in diverse areas of physics and chemistry. Covering all salient developments of the last few years in a single symposium would require weeks, legions of participants and parallel sessions, highlighting the differences in language and communication problems between pure mathematicians, high and low energy physicists and chemists. The symposium held July 1978 at the Centre of Interdisciplinary Studies of the University of Bielefeld focussed on a small area, the pertinence of the permutation group in chemical physics, with the goal to increase and generate a fruitful dialogue between mathe­ maticians and chemists. In chemistry, concerned with the electronic and geometric structure of molecules as well as elementary chemical reactions, i.e. rearrangements in these structures, the permutation group has its relevance, since with its representations the effects and consequences of exchanging indistin­ guishable particles, electrons and identical nuclei, can be systematized and classified. This may be exemplified by a brief survey of the lectures presented, which may also serve as a first orientation· to the articles of this volume. In the first two contributions by A. Kerber and J.G. Nourse, the permutation group is used in the counting and systemtaic generation of stereoisomers aiding in the elucidation of possible molecular structures. The dynamics of stereochemistry is considered in the next article by J.G.

• Chirality
• Dynamic Stereochemistry
• Isomer
• Permutationsgruppe
• Physikalische Chemie
• Spin
• Stereochemistry
• Symmetry
• thermodynamics

• Fakultät für Chemie, Universität Bielefeld, Bielefeld, Germany

  Jürgen Hinze

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