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Symmetry and Combinatorial Enumeration in Chemistry

  • Textbook
  • © 1991

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. Compounds with Rotatable Ligands

    • Shinsaku Fujita
    Pages 271-295

  2. Promolecules

    • Shinsaku Fujita
    Pages 297-320

  3. Appendix A Mark Tables

    • Shinsaku Fujita
    Pages 321-326

  4. Appendix B Inverses of Mark Tables

    • Shinsaku Fujita
    Pages 327-333

  5. Appendix C Subduction Tables

    • Shinsaku Fujita
    Pages 335-342

  6. Appendix D Tables of USCIs

    • Shinsaku Fujita
    Pages 343-350

  7. Appendix E Tables of USCI-CFs

    • Shinsaku Fujita
    Pages 351-358

  8. Back Matter

    Pages 359-368
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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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