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Chirality02:25

Chirality

24.3K
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...
24.3K
Chirality at Nitrogen, Phosphorus, and Sulfur02:30

Chirality at Nitrogen, Phosphorus, and Sulfur

5.7K
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

Molecules with Multiple Chiral Centers

11.8K
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...
11.8K
Structure of Amines01:19

Structure of Amines

2.6K
The hybridized nitrogen atom in amines possesses a lone pair of electrons and is bound to three substituents with a bond angle of around 108°, which is less than the tetrahedral angle of 109.5°. However, the C–N–H bond angle is slightly larger at 112°, with a carbon–nitrogen bond length of 147 pm. This carbon–nitrogen bond length of of amines is longer than the carbon–oxygen bond of alcohols (143 pm) but shorter than alkanes’...
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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

1.0K
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
1.0K
Polymer Classification: Crystallinity01:21

Polymer Classification: Crystallinity

2.9K
Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
Crystalline domains are the regions where polymer chains are aligned in an orderly manner and held together in proximity by intermolecular forces. For example, chains in the crystalline domains of polyethylene and nylon are bound together by van der Waals...
2.9K

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Related Experiment Video

Updated: Jul 12, 2025

Measuring Magnetically-Tuned Ferroelectric Polarization in Liquid Crystals
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Measuring Magnetically-Tuned Ferroelectric Polarization in Liquid Crystals

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An exact chiral amorphous spin liquid.

G Cassella1, P d'Ornellas2, T Hodson1

  • 1Blackett Laboratory, Imperial College London, London, SW7 2AZ, United Kingdom.

Nature Communications
|October 20, 2023
PubMed
Summary
This summary is machine-generated.

Researchers created a soluble chiral amorphous quantum spin liquid in random lattices. This system exhibits Abelian and non-Abelian topological phases and transitions to a thermal metal state.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Phases

Background:

  • Topological insulators have been extended to amorphous systems.
  • The existence of topologically ordered quantum many-body phases in amorphous systems remains an open question.

Purpose of the Study:

  • To investigate the possibility of topologically ordered quantum many-body phases in amorphous systems.
  • To construct and analyze a soluble chiral amorphous quantum spin liquid.

Main Methods:

  • Extending the Kitaev honeycomb model to random lattices with a fixed coordination number of three.
  • Analyzing the model's exact solubility and phase diagram.
  • Investigating ground state properties and finite-temperature phase transitions.

Main Results:

  • A soluble chiral amorphous quantum spin liquid was constructed.
  • The model exhibits spontaneous breaking of time-reversal symmetry due to odd-sided plaquettes.
  • A rich phase diagram with Abelian and non-Abelian quantum spin liquid phases was discovered.
  • A simple ground state flux pattern was identified.
  • A finite-temperature phase transition to a conducting thermal metal state was observed.

Conclusions:

  • Topologically ordered quantum many-body phases can exist in amorphous systems.
  • The constructed model provides a platform for studying amorphous topological phases.
  • The findings suggest potential experimental realizations of amorphous quantum spin liquids.