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Chirality

Chirality

Chirality is a term that describes the lack of mirror symmetry in an object. In other words, chiral objects cannot be superposed on their mirror images. For example, our feet are chiral, as the mirror image of the left foot, the right foot, cannot be superposed on the left foot.
Chiral objects exhibit a sense of handedness when they interact with another chiral object. For example, our left foot can only fit in the left shoe and not in the right shoe. Achiral objects — objects that have...

Chirality in Nature

Chirality in Nature

Chirality is the most intriguing yet essential facet of nature, governing life’s biochemical processes and precision. It can be observed from a snail shell pattern in a macroscopic world to an amino acid, the minutest building block of life. Most of the snails around the world have right-coiled shells because of the intrinsic chirality in their genes. All the amino acids present in the human body exist in an enantiomerically pure state, except for glycine - the sole achiral amino acid. The...

Prochirality

Prochirality

The concept of prochirality leads to the nomenclature of the individual faces of a molecule and plays a crucial role in the enantioselective reaction. It is a concept where two or more achiral molecules react to produce chiral products. A typical process is the reaction of an achiral ketone to generate a chiral alcohol. Here, the achiral reactant reacts with an achiral reducing agent, sodium borohydride, to generate an equimolar mixture of the chiral enantiomers of the product. For example, an...

Properties of Enantiomers and Optical Activity

Properties of Enantiomers and Optical Activity

It is essential to understand the difference between chiral and achiral interactions and the implications thereof in optical activity and their applications. Just as our feet, which are chiral, interact uniquely with chiral objects, such as a pair of shoes, but identically with achiral socks, enantiomers of a molecule exhibit different properties only when they interact with other chiral media. An example of a significant implication from this facet is the phenomenon known as optical activity,...

Molecules with Multiple Chiral Centers

Molecules with Multiple Chiral Centers

Molecules that possess multiple chiral centers can afford a large number of stereoisomers. For instance, while some molecules like 2-butanol have one chiral center, defined as a tetrahedral carbon atom with four different substituents attached, several molecules like butane-2,3-diol have multiple chiral centers. A simple formula to predict the number of stereoisomers possible for a molecule with n chiral centers is 2n. However, there can be a lower number where some of the stereoisomers are...

Chirality at Nitrogen, Phosphorus, and Sulfur

Chirality at Nitrogen, Phosphorus, and Sulfur

Chirality is most prevalent in carbon-based tetrahedral compounds, but this important facet of molecular symmetry extends to sp3-hybridized nitrogen, phosphorus and sulfur centers, including trivalent molecules with lone pairs. Here, the lone pair behaves as a functional group in addition to the other three substituents to form an analogous tetrahedral center that can be chiral.
A consequence of chirality is the need for enantiomeric resolution. While this is theoretically possible for all...

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Related Experiment Video

Updated: Jun 5, 2026

A Micropatterning Assay for Measuring Cell Chirality

A Micropatterning Assay for Measuring Cell Chirality

Published on: March 11, 2022

Chirality measures for vectors, matrices, operators and functions.

Chaim Dryzun¹, David Avnir

¹Institute of Chemistry and The Lise Meitner Minerva Center for Computational Quantum Chemistry, The Hebrew University of Jerusalem, Jerusalem 91904, Israel.

Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry

|January 13, 2011

Summary

We present a generalized continuous chirality measure (CCM) for quantifying object chirality. This new method offers analytical expressions and applies to diverse mathematical descriptions, including vectors, matrices, and functions.

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Area of Science:

Chemistry
Physics
Materials Science

Background:

Chirality is a fundamental property in various scientific disciplines.
Existing chirality measures often lack generality or analytical tractability.

Purpose of the Study:

To introduce a generalized continuous chirality measure (CCM).
To enable quantitative chirality assessment for diverse mathematical representations.
To provide analytical expressions for chirality measures.

Main Methods:

Generalization of the continuous chirality measure (CCM) framework.
Application of CCM to vectors, matrices, operators, and functions.
Derivation of analytical expressions for specific chiral systems.

Main Results:

The generalized CCM can quantify chirality in systems described by vectors, matrices, operators, and functions.
Analytical expressions for CCM were derived for specific cases.
The methodology was successfully applied to molecules, metamaterials, and electronic structures.

Conclusions:

The generalized CCM offers a versatile and powerful tool for chirality quantification.
This approach facilitates deeper understanding of chirality in diverse scientific contexts.
The ability to derive analytical expressions enhances practical applications of CCM.