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Related Concept Videos

Thermal Sigmatropic Reactions: Overview01:16

Thermal Sigmatropic Reactions: Overview

2.1K
Sigmatropic rearrangements are a class of pericyclic reactions in which a σ bond migrates from one part of a π system to another. These are intramolecular rearrangements where the total number of σ and π bonds remain unchanged.
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
2.1K
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.0K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.0K
[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement01:21

[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement

2.6K
The Cope rearrangement is classified as a [3,3] sigmatropic shift in 1,5-dienes, leading to a more stable, isomeric 1,5-diene. The reaction involves a concerted movement of six electrons, four from two π bonds and two from a σ bond, via an energetically favorable chair-like transition state.
2.6K
Stereoisomerism02:52

Stereoisomerism

11.7K
Isomerism in Complexes
Isomers are different chemical species that have the same chemical formula.
Transition metal complexes often exist as geometric isomers, in which the same atoms are connected through the same types of bonds but with differences in their orientation in space. Coordination complexes with two different ligands in the cis and trans positions from a ligand of interest form isomers. For example, the octahedral [Co(NH3)4Cl2]+ ion has two isomers (Figure 1) In the cis...
11.7K
¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

1.2K
A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
1.2K
Metallic Solids02:37

Metallic Solids

18.2K
Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
18.2K

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Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
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Entanglement Smectic and Stripe Order.

Nilotpal Chakraborty1, Roderich Moessner1, Benoit Doucot2

  • 1<a href="https://ror.org/01bf9rw71">Max-Planck-Institut für Physik komplexer Systeme</a>, Nöthnitzer Straße 38, Dresden 01187, Germany.

Physical Review Letters
|December 3, 2024
PubMed
Summary
This summary is machine-generated.

Researchers discovered new quantum matter phases called anisotropic entanglement ordered phases. These phases break crystal symmetry through entanglement, leading to novel properties in materials like graphene.

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Area of Science:

  • Quantum Matter Physics
  • Condensed Matter Theory
  • Entanglement Physics

Background:

  • Spontaneous symmetry breaking and quantum entanglement are fundamental concepts in quantum matter.
  • Understanding the interplay between entanglement and symmetry is crucial for novel quantum phases.

Purpose of the Study:

  • Introduce anisotropic entanglement ordered phases.
  • Explore their properties and experimental signatures.
  • Distinguish them from conventional charge or spin stripes.

Main Methods:

  • Theoretical framework for anisotropic entanglement.
  • Analysis of Goldstone mode spectrum.
  • Investigation of phase transitions based on anisotropies.

Main Results:

  • Defined entanglement smectic and entanglement stripe phases.
  • Demonstrated spontaneous reduction of rotational symmetry by entanglement.
  • Identified distinct experimental consequences compared to charge/spin stripes.

Conclusions:

  • Anisotropic entanglement phases offer a new paradigm in quantum matter.
  • These phases are relevant to multicomponent quantum Hall systems and textured Wigner crystals.
  • Potential implications for graphene and moiré systems highlight rich entanglement landscapes.