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Journal of Mathematical Chemistry

, Volume 23, Issue 3–4, pp 429–439 | Cite as

On the concept of chirality

  • Patrick Le Guennec
Article

Abstract

In the literal sense of Kelvin’s classical definition, chirality is a dichotomous concept. In this letter, we report on theoretical results which tend to alter profoundly this conception of chirality in a class of spaces of chiral systems. The example space considered here is the space of 2D square‐integrable complex fields. Our results show that, in such spaces, chirality can be considered as a continuous, extensive and local geometrical phenomenon. The presented analysis, based on a theory of symmetry groups structure, provides a rigorous description of “the way”, “the place where”, and “the extent to which” an element of such spaces lacks indirect symmetries. Kelvin’s definition is shown to describe the exterior signs of this phenomenon. A major interest of this theory is that all results can be applied to molecular wavefunctions and orbitals. Then there is hope that such results provide a renewed insight in basic stereochemical issues related to chirality.

Keywords

Symmetry Group Chiral Molecule Molecular Electronic Density Molecular Chirality Chiral System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • Patrick Le Guennec
    • 1
  1. 1.URA 1679Département de Chimie de l’École Normale SupérieureParis Cedex 05FranceE-mail:

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