Related Experiment Video
Updated: Jun 12, 2026

08:06
Fabrication of Polymer Microspheres for Optical Resonator and Laser Applications
Published on: June 2, 2017
Dilute random distribution of small chiral spheres
Applied Optics
|June 23, 2010
Summary
This study estimates effective-medium properties for chiral composites using volume integral equations. It derives the electromagnetic polarizability matrix for chiral spheres, revealing composite properties.
Area of Science:
- Electromagnetism
- Materials Science
- Condensed Matter Physics
Background:
- Chiral composites exhibit unique electromagnetic properties due to their structure.
- Understanding effective-medium properties is crucial for designing advanced materials.
Purpose of the Study:
- To estimate the effective-medium properties of a chiral composite material.
- To analyze the electromagnetic scattering of small, noninteracting chiral spheres in free space.
Main Methods:
- Derivation of volume integral equations for scattering characteristics of chiral scatterers.
- Development of the electromagnetic polarizability matrix for a single chiral sphere.
- Analysis of the polarizability matrix to determine composite properties.
Main Results:
- The study establishes a method to calculate the effective-medium properties of chiral composites.
- The electromagnetic polarizability matrix of a small chiral sphere was derived.
- The derived matrix provides insights into the bulk electromagnetic behavior of the composite.
Conclusions:
- The effective-medium properties can be accurately estimated from the polarizability of constituent chiral spheres.
- This work provides a theoretical framework for characterizing chiral composite materials.
- The findings are applicable to the design and application of metamaterials and other chiral structures.
Related Concept Videos
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 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...
A consequence of chirality is the need for enantiomeric resolution. While this is theoretically possible for all...
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...
Racemic Mixtures and the Resolution of Enantiomers
A racemic mixture, or racemate, is an equimolar mixture of enantiomers of a molecule that can be separated using their unique interaction with chiral molecules or media. Racemic mixtures are denoted by the (±)- prefix. This ‘optical rotation descriptor’ applies to the whole solution of a racemic mixture rather than a specific stereoisomer. Enantiomers typically have the same physical and chemical properties. Hence, they are not easily separable. However, enantiomers can exhibit different...
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...
The Colloidal State
The formation of a colloidal system is exemplified by an aqueous solution containing Cl− ions is introduced to another containing Ag+ ions, resulting in the precipitation of solid AgCl as extremely tiny crystals. Instead of settling out as a filterable precipitate, these crystals remain suspended in the liquid, showcasing a colloidal system.A colloidal system involves colloidal particles within the approximate range of 1 to 1000 nm in at least one dimension, dispersed in a medium called the...

