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Related Concept Videos

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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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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Chirality at Nitrogen, Phosphorus, and Sulfur02:30

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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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Molecules with Multiple Chiral Centers02:25

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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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Inductance: Solid Cylindrical Conductor01:24

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To calculate the inductance of a solid cylindrical conductor, consider a 1-meter section of a non-magnetic, current-carrying conductor with radius r. Disregarding end effects and assuming uniform current density, Ampere's law helps determine the magnetic field inside the conductor. This law states that the magnetic field intensity H is concentric and constant within the conductor.
Given the uniform current distribution, the magnetic field Hx and flux density Bx inside the conductor are...
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Fischer Projections02:18

Fischer Projections

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Learning to draw Fischer projections of molecules and understanding their relevance plays a crucial role in the visual depiction of organic molecules. A Fischer projection is a two-dimensional projection on a planar surface to simplify the three-dimensional wedge–dash representation of molecules. This is especially helpful in the case of molecules with multiple chiral centers that can be difficult to draw. Here, all the bonds of interest are represented as horizontal or vertical lines.
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Geometric Induction in Chiral Superfluids.

Qing-Dong Jiang1,2, A Balatsky3,4

  • 1Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China.

Physical Review Letters
|July 16, 2022
PubMed
Summary
This summary is machine-generated.

We discovered that the geometry of curved surfaces influences chiral superfluid thin films. This interaction creates observable effects like anomalous vortex behavior and curvature-induced supercurrents, offering new ways to control quantum states.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Fluids
  • Surface Science

Background:

  • Chiral superfluids exhibit unique quantum properties.
  • The behavior of superfluids on curved surfaces is not fully understood.
  • Geometric effects on quantum order parameters are of significant interest.

Purpose of the Study:

  • To investigate the properties of chiral superfluid thin films on curved surfaces.
  • To understand the emergence of geometric gauge fields due to the order parameter's vector nature.
  • To identify observable signatures of these interactions in systems like chiral superfluid Helium-3.

Main Methods:

  • Theoretical exploration of chiral superfluid thin films.
  • Mathematical derivation of geometric gauge fields.
  • Application of the theory to specific phases of chiral superfluid ^{3}He.
  • Analysis of flexible geometries and surface adaptability.

Main Results:

  • A geometric gauge field emerges from the vector nature of the chiral superfluid order parameter.
  • Observable effects include anomalous vortex-geometric interaction.
  • Curvature-induced mass and spin supercurrents are predicted.
  • Experimentally verifiable signatures for chiral superfluid ^{3}He are derived.

Conclusions:

  • Geometry plays a crucial role in the behavior of chiral superfluid thin films.
  • The interplay between geometry and superfluid order offers a novel method for manipulating quantum states using strain.
  • Flexible surfaces can potentially mitigate strain effects.