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Related Concept Videos

Chirality02:25

Chirality

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...
Continuous Charge Distributions01:17

Continuous Charge Distributions

Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...
Potential Due to a Polarized Object01:29

Potential Due to a Polarized Object

A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
Standing Electromagnetic Waves01:15

Standing Electromagnetic Waves

Electromagnetic waves can be reflected; the surface of a conductor or a dielectric can act as a reflector. As electric and magnetic fields obey the superposition principle, so do electromagnetic waves. The superposition of an incident wave and a reflected electromagnetic wave produces a standing wave analogous to the standing waves created on a stretched string.
Suppose a sheet of a perfect conductor is placed in the yz-plane, and a linearly polarized electromagnetic wave traveling in the...
Prochirality02:05

Prochirality

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...
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

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Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
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Chiral charge-density waves.

J Ishioka1, Y H Liu, K Shimatake

  • 1Department of Applied Physics, Hokkaido University, Sapporo, Japan.

Physical Review Letters
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

We discovered charge-density wave (CDW) chirality in 1T-TiSe₂, observing distinct clockwise and anticlockwise intensity patterns. This chirality breaks threefold symmetry, leading to observable twofold symmetry in optical measurements.

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Published on: August 13, 2019

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Surface Science

Background:

  • Charge-density waves (CDWs) are prevalent in low-dimensional materials.
  • Understanding CDW symmetry and its implications is crucial for novel electronic properties.
  • 1T-TiSe₂ is a well-known material exhibiting complex CDW phases.

Purpose of the Study:

  • To investigate and confirm the existence of chirality in charge-density waves (CDWs).
  • To characterize the symmetry breaking induced by CDW chirality.
  • To propose a generalized theoretical framework for CDW chirality.

Main Methods:

  • Scanning tunneling microscopy (STM) for atomic-scale imaging of CDW structure.
  • Time-domain optical polarimetry for macroscopic symmetry detection.
  • Analysis of tunneling current amplitudes (Ia) and CDW vector relationships (q).

Main Results:

  • Direct observation of CDW chirality in 1T-TiSe₂.
  • Quantified CDW intensity ratios: Ia₁∶Ia₂∶Ia₃ = 1∶0.7 ± 0.1∶0.5 ± 0.1.
  • Demonstrated threefold symmetry breaking and macroscopic twofold symmetry.
  • Proposed a generalized chirality measure H(CDW) = q₁·(q₂×q₃).

Conclusions:

  • CDW chirality is a fundamental property of the 1T-TiSe₂ system.
  • The observed chirality breaks the material's inherent symmetry.
  • The proposed H(CDW) metric provides a new way to quantify and understand CDW chirality.