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Related Concept Videos

Imperfections in Crystal Structure: Stoichiometric Point Defects01:26

Imperfections in Crystal Structure: Stoichiometric Point Defects

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Schottky defects arise when some lattice points in a crystal, such as those in NaCl, remain unoccupied, creating lattice vacancies without disturbing the overall electrical neutrality of the crystal. This defect is common in ionic crystals where the positive and negative ions are similar in size, as seen in sodium chloride and cesium chloride. The presence of Schottky defects enables the crystal to conduct electricity to a small extent through an ionic mechanism. Electric fields cause nearby...
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Imperfections in Crystal Structure: Point, Line and Plane Defects01:25

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A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
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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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Imperfections in Crystal Structure: Non-Stoichiometric Defects01:29

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Non-stoichiometric defects refer to a type of defect in the crystal structure of a compound where the ratio of its constituent elements deviates from the ideal stoichiometric ratio. There are two main types of non-stoichiometric defects: metal excess defects and metal deficiency defects.Metal excess defects occur when there is a slight surplus of metal ions than what is required by the stoichiometric ratio of the compound. For example, heating a sodium chloride crystal in sodium vapor results...
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Chirality in Nature02:30

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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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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...
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Topological defects in cholesteric liquid crystal shells.

Alexandre Darmon1, Michael Benzaquen1, Simon Čopar2

  • 1EC2M, UMR 7083 Gulliver, CNRS, ESPCI Paris, PSL Research University, 10 rue Vauquelin, 75005 Paris, France. Teresa.Lopez-Leon@espci.fr.

Soft Matter
|October 22, 2016
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Summary
This summary is machine-generated.

Defects in cholesteric liquid crystals confined to spherical shells exhibit unique, structured cores unlike those in nematic shells. These novel configurations and their transitions reveal complex defect dynamics within helical liquid crystal systems.

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Area of Science:

  • Materials Science
  • Soft Matter Physics
  • Liquid Crystal Physics

Background:

  • Confining liquid crystals to curved geometries, such as spherical shells, leads to complex defect structures.
  • Cholesteric liquid crystals, characterized by helical ordering, present unique challenges and opportunities for defect formation compared to simpler nematic phases.

Purpose of the Study:

  • To experimentally and numerically investigate the defect configurations in cholesteric liquid crystals confined within spherical shells.
  • To identify and characterize novel defect types stabilized by the helical structure of cholesteric liquid crystals.
  • To explore the statistical distribution and transitions between different defect configurations as a function of geometric parameters.

Main Methods:

  • Combined experimental observations with numerical simulations to study defect structures.
  • Analyzed defect configurations under varying geometric dimensionless parameters of the spherical shell confinement.
  • Investigated topological transformations and defect recombination during transitions between different shell types.

Main Results:

  • Observed a rich variety of defect configurations, including types not found in nematic shells.
  • Identified five distinct types of cholesteric shells with structured, non-singular defect cores.
  • Demonstrated that defect transitions involve complex topological rearrangements and non-geodesic paths.

Conclusions:

  • Cholesteric liquid crystal shells exhibit unique defect structures and dynamics driven by helical ordering.
  • Geometric parameters significantly influence the type and distribution of defects, enabling control over shell configurations.
  • The study reveals surprising defect behavior, including intricate paths during topological transformations.