## New Developments in Molecular ChiralityMolecular 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Fundamental Symmetry Aspects of Molecular Chirality | 1 |

Ab Initio Calculations | 57 |

Chiral Features of Proteins | 93 |

A Topological Hierarchy of Molecular Chirality and other Tidbits in Topological Stereochemistry | 119 |

Chirality Algebra | 131 |

Algebraic Topological Indices of Molecular Chirality | 165 |

### Other editions - View all

### Common terms and phrases

3-space achiral achiral nuclear configurations Alexander polynomial associated atoms basis set calculated catchment region Chem chemical chemistry chimerical graph chiral ligand partitions chiral molecules chirality algebra chirality function chirality polynomials components contour surface corresponding critical point crossing deformation degree of chirality dipole electronic embedding enantiomeric enantiomers equation equilibrium example force field geometry Hamiltonian helices homeomorphic improper rotation interconverted intrinsically chiral invariant Jones polynomial Jordan curves knots and links ligand parameters linking number magnetic field mathematical Mezey mirror image Mobius ladder molecular chirality molecular graphs nuclear configuration space observed operator optical activity optical rotation parity-violating particles permutation Phys planar plane point group point symmetry polarized polycubes protein pseudoscalar quantum Reidemeister moves representation right-handed rigidly achiral rungs shown in Figure skeleton space inversion spatial stereochemistry structure symmetry elements tensors Theorem theory topologically achiral topologically chiral transition trefoil knot vector vertices Walba wavefunctions Young diagram