New Developments in Molecular Chirality

1. Front Matter

   Pages i-vii

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2. Fundamental Symmetry Aspects of Molecular Chirality

   • Laurence D. Barron

   Pages 1-55

3. Vibrational Circular Dichroism Intensities: Ab Initio Calculations

   • Arvi Rauk

   Pages 57-92

4. Chiral Features of Proteins

   • G. M. Maggiora, B. Mao, K-C. Chou

   Pages 93-118

5. A Topological Hierarchy of Molecular Chirality and other Tidbits in Topological Stereochemistry

   • David M. Walba

   Pages 119-129

6. Chirality Algebra

   • R. B. King

   Pages 131-164

7. Algebraic Topological Indices of Molecular Chirality

   • Kenneth C. Millett

   Pages 165-207

8. Topological Techniques to Detect Chirality

   • Erica Flapan

   Pages 209-239

9. Chiral and achiral square-cell configurations; the degree of chirality

   • Frank Harary, Paul G. Mezey

   Pages 241-256

10. A global approach to molecular chirality

    • Paul G. Mezey

    Pages 257-289

11. Back Matter

    Pages 291-294

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Molecular chirality is one of the fundamental aspects of chemistry. Chirality properties of molecules have implications in a wide variety of subjects, ranging from the basic quantum mechanical properties of simple of a few atoms to molecular optical activity, asymmetric synthesis, systems and the folding pattern of proteins. Chirality, in both the geometrical and the topological sense, has also been the subject of investigations in various branches of mathematics. In particular, new developments in a branch of topology, called knot theory, as well as in various branches of discrete mathematics, have led to a novel perspective on the topological aspects of molecular chirality. Some of the mathematical advances have already found applications to the interpretation of new concepts in theoretical chemistry and mathematical chemistry, as well as to novel synthetic approaches leading to new molecules of exceptional structural properties. Some of the new developments in molecular chirality have been truly fundamental to the theoretical understanding and to the actual practice of many aspects of chemistry. The progress in this field has been very rapid, even accelerating in recent years, and a review appears more than justified. This book offers a selection of subjects covering some of the latest developments. Our primary aim is to clarify some of the basic concepts that are the most prone to misinterpretation and to provide brief introductions to some of those subjects that are expected to have further, important contributions to our understanding of molecular properties and chemical reactivity.

• Dichroism
• Vibration
• ab initio calculation
• algebra
• chemistry
• chirality
• development
• protein
• stereochemistry
• symmetry

The book can be recommended to specialists in organic chemistry and physical organic chemistry.
Zeitschrift fuer Physikalische Chemie
' In summary, this volume is a valuable addition to the stereochemical literature. Its collection of articles is indispensable reading for anyone interested in fundamental questions relating to the subject of chirality, and who wants to go beyond the standard textbook treatment of the subject. The editor it to be congratulated on his choice of authors and for putting together an exciting and thought-provoking account of current theoretical developments in this important area of science. ' Structural Chemistry 3:1 1992 P

• Department of Chemistry, University of Saskatchewan, Saskatoon, Canada

  Paul G. Mezey

• Department of Mathematics, University of Saskatchewan, Saskatoon, Canada

  Paul G. Mezey

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