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Chirality in Nature02:30

Chirality in Nature

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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.
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Diffusion01:12

Diffusion

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Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
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Diffusion01:21

Diffusion

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Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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Chirality02:25

Chirality

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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...
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Racemic Mixtures and the Resolution of Enantiomers02:30

Racemic Mixtures and the Resolution of Enantiomers

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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...
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Properties of Enantiomers and Optical Activity02:24

Properties of Enantiomers and Optical Activity

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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,...
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Related Experiment Video

Updated: Mar 8, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

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Diffusion of active chiral particles.

Francisco J Sevilla1

  • 1Instituto de Física, Universidad Nacional Autónoma de México, Apdo. Postal 20-364, 01000, México D.F., Mexico.

Physical Review. E
|January 14, 2017
PubMed
Summary
This summary is machine-generated.

Chiral active Brownian particles exhibit anomalous diffusion, showing non-Gaussian position distributions but linear mean-squared displacement over time. Kurtosis oscillates between Gaussian and spherical shell shapes during diffusion.

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Area of Science:

  • Statistical Physics
  • Soft Matter Physics
  • Active Matter

Background:

  • Active Brownian particles (ABPs) are model systems for self-propelled objects.
  • Chirality introduces rotational dynamics influencing diffusion.
  • Understanding diffusion in 3D is crucial for active matter systems.

Purpose of the Study:

  • To analytically and numerically investigate the 3D diffusion of chiral ABPs.
  • To determine the marginal probability density and its statistical properties.
  • To explore the phenomenon of anomalous diffusion in chiral ABPs.

Main Methods:

  • Analytical treatment using the Fokker-Planck equation.
  • Numerical simulations via Langevin dynamics.
  • Analysis of multipole expansion coefficients for probability distribution.

Main Results:

  • Calculated time-dependent mean-squared displacement and kurtosis.
  • Observed oscillations in kurtosis between Gaussian and spherical shell distributions.
  • Evidence of anomalous, yet Brownian, diffusion in ensembles of rotating particles.

Conclusions:

  • Chiral ABPs display complex diffusion behaviors in 3D.
  • Kurtosis dynamics reveal transitions in position distribution shapes.
  • The study confirms anomalous diffusion characteristics in specific active matter scenarios.