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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

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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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Prochirality02:05

Prochirality

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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...
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¹H NMR Chemical Shift Equivalence: Enantiotopic and Diastereotopic Protons00:58

¹H NMR Chemical Shift Equivalence: Enantiotopic and Diastereotopic Protons

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Replacing each alpha-hydrogen in chloroethane by bromine (or a different functional group) yields a pair of enantiomers. Such protons are called prochiral or enantiotopic and are related by a mirror plane. Enantiotopic protons are chemically equivalent in an achiral environment. Because most proton NMR spectra are recorded using achiral solvents, enantiotopic hydrogens yield a single signal.
In chiral compounds such as 2-butanol, replacing the methylene hydrogens at C3 produces a pair of...
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Chiral Anomaly in Interacting Condensed Matter Systems.

Colin Rylands1, Alireza Parhizkar1, Anton A Burkov2,3

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This study explores chiral anomaly in Weyl semimetals, revealing how interactions modify symmetry breaking. Findings show interaction-dependent responses in magnetic fields and anomalous Hall effects.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Particle physics

Background:

  • The chiral anomaly is crucial in quantum mechanics, impacting particle and condensed matter physics.
  • It manifests as chiral symmetry breaking in electromagnetic fields (QED) or via interactions in 1D systems.

Purpose of the Study:

  • Investigate the interplay of chiral anomaly modes in interacting Weyl semimetals.
  • Analyze how interactions modify chiral symmetry breaking.
  • Examine the impact on nonlinear response and anomalous Hall effects.

Main Methods:

  • Fujikawa's path integral method to modify the chiral charge continuity equation.
  • Dimensional reduction and Luttinger liquid theory for the lowest Landau level.
  • Analysis of nonlinear response, density response, and anomalous Hall response.

Main Results:

  • Interactions modify the chiral charge continuity equation, incorporating effects of self-generated fields.
  • An interaction-dependent density response arises from magnetic field changes.
  • A contribution to nonequilibrium and inhomogeneous anomalous Hall response is found, preserving equilibrium values.

Conclusions:

  • Interacting Weyl semimetals exhibit complex chiral anomaly behavior.
  • Nonlinear responses are sensitive to interaction-induced modifications.
  • The study provides insights into quantum phenomena in condensed matter systems.