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Symmetry and Combinatorial Enumeration in Chemistry

  • Textbook
  • © 1991
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Overview

Authors:
  1. Shinsaku Fujita

    1. Research Laboratories, Ashigara, Fuji Photo Film Co., Ltd., Minami-Ashigara, Kanagawaken, Japan

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Table of contents (26 chapters)

  1. Front Matter

    Pages I-IX
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  2. Introduction

    • Shinsaku Fujita
    Pages 1-6
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  3. Symmetry and Point Groups

    • Shinsaku Fujita
    Pages 7-15
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  4. Permutation Groups

    • Shinsaku Fujita
    Pages 17-27
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  5. Axioms and Theorems of Group Theory

    • Shinsaku Fujita
    Pages 29-43
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  6. Coset Representations and Orbits

    • Shinsaku Fujita
    Pages 45-61
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  7. Systematic Classification of Molecular Symmetries

    • Shinsaku Fujita
    Pages 63-73
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  8. Local Symmetries and Forbidden Coset Representations

    • Shinsaku Fujita
    Pages 75-87
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  9. Chirality Fittingness of an Orbit

    • Shinsaku Fujita
    Pages 89-100
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  10. Subduction of Coset Representations

    • Shinsaku Fujita
    Pages 101-115
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  11. Prochirality

    • Shinsaku Fujita
    Pages 117-133
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  12. Desymmetrization of Para-Achiral Compounds

    • Shinsaku Fujita
    Pages 135-145
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  13. Topicity and Stereogenicity

    • Shinsaku Fujita
    Pages 147-161
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  14. Counting Orbits

    • Shinsaku Fujita
    Pages 163-179
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  15. Obligatory Minimum Valencies

    • Shinsaku Fujita
    Pages 181-195
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  16. Compounds with Achiral Ligands Only

    • Shinsaku Fujita
    Pages 197-213
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  17. New Cycle Index

    • Shinsaku Fujita
    Pages 215-225
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  18. Cage-Shaped Molecules with High Symmetries

    • Shinsaku Fujita
    Pages 227-240
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  19. Elementary Superposition

    • Shinsaku Fujita
    Pages 241-253
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  20. Compounds with Achiral and Chiral Ligands

    • Shinsaku Fujita
    Pages 255-270
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Keywords

About this book

This book is written to introduce a new approach to stereochemical problems and to combinatorial enumerations in chemistry. This approach is based on group the­ ory, but different from conventional ways adopted by most textbooks on chemical group theory. The difference sterns from their starting points: conjugate subgroups and conjugacy classes. The conventional textbooks deal with linear representations and character ta­ bles of point groups. This fact implies that they lay stress on conjugacy classesj in fact, such group characters are determined for the respective conjugacy classes. This approach is versatile, since conjugacy classes can be easily obtained by ex­ amining every element of a group. It is unnecessary to know the group-subgroup relationship of the group, which is not always easy to obtain. The same situa­ tion is true for chemical enumerations, though these are founded on permutation groups. Thus, the P6lya-Redfield theorem (1935 and 1927) uses a cycle index that is composed of terms associated with conjugacy classes.

Authors and Affiliations

  • Research Laboratories, Ashigara, Fuji Photo Film Co., Ltd., Minami-Ashigara, Kanagawaken, Japan

    Shinsaku Fujita

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