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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 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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Prochirality02:05

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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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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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Stereoisomerism of Cyclic Compounds02:33

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In this lesson, we delve into the role of ring conformation and its stability, which determines the spatial arrangement and, consequently, the molecular symmetry and stereoisomerism of cyclic compounds. 1,2-Dimethylcyclohexane is used as a case study to evaluate the possible number of stereoisomers. Here, given the multiple (n = 2) chiral centers, there are 2n = 4 possible configurations that lack a plane of symmetry, as the ring skeleton exists in a non-planar chair conformation. In addition,...
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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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Related Experiment Video

Updated: Apr 24, 2026

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
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Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates

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Chiral and clock phases in twisted dipolar clusters.

Paula Mellado1, Xavier Cazor1, Andres Concha1,2,3,4

  • 1Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez. Diagonal las Torres 2640, Santiago, Chile.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|April 22, 2026
PubMed
Summary
This summary is machine-generated.

Twisted magnetic rod clusters exhibit emergent chirality and complex magnetic textures. Increasing twist angle drives transitions between distinct chiral phases and anisotropies, revealing a crossover to U(1)-invariant behavior.

Keywords:
chiralityclock modelmagnetic dipolessine Gordon

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Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Magnetic systems with geometric frustration exhibit complex phenomena.
  • Polygonal arrangements of magnetic elements can lead to novel emergent properties.
  • Chirality plays a crucial role in determining magnetic textures and phase transitions.

Purpose of the Study:

  • To investigate the magnetic behavior of dipolar interacting rods on twisted polygonal clusters.
  • To understand the emergence of chiral phases and their dependence on twist angle.
  • To develop a phenomenological model describing the observed magnetic configurations.

Main Methods:

  • Utilized a dipolar model for magnetic rods arranged on twisted polygonal clusters.
  • Performed numerical minimization to find stable magnetic configurations.
  • Analyzed chirality using bond order parameters and clock index order parameters.
  • Developed a Landau phenomenological description.

Main Results:

  • Relative twist induces noncollinear chiral phases, including flux vortex closure and hedgehog-like configurations.
  • Chirality behaves as an Ising variable, with configurations evolving through discontinuous switching of magnetic textures.
  • A crossover from Ising-like behavior to a U(1)-invariant regime is observed as polygon size increases.
  • The system exhibits a competition between N-fold anisotropy and twist, leading to a tilted energy landscape.

Conclusions:

  • The study reveals emergent chirality and complex magnetic textures in twisted polygonal clusters.
  • The interplay between twist angle, anisotropy, and system size governs the magnetic phase transitions.
  • A Landau theory successfully captures the Ising-type chirality and ZN clock anisotropy.