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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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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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Valence Bond Theory02:42

Valence Bond Theory

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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Crystal Field Theory - Octahedral Complexes02:58

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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

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Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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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.
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Quantum Simulation for Three-Dimensional Chiral Topological Insulator.

Wentao Ji1,2,3, Lin Zhang4,5, Mengqi Wang1,2,3

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Quantum simulators using nitrogen-vacancy centers reveal bulk-surface correspondence in 3D chiral topological insulators. This study demonstrates simultaneous investigation of bulk and surface topological physics via quantum quenches.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum simulation

Background:

  • Quantum simulation enables exploration of topological quantum phases.
  • Simultaneously studying bulk and surface topological physics is challenging.
  • Nitrogen-vacancy centers offer a platform for quantum simulation.

Purpose of the Study:

  • To investigate a 3D chiral topological insulator using a nitrogen-vacancy center quantum simulator.
  • To demonstrate the simultaneous study of bulk and surface topological physics.
  • To reveal the correspondence between bulk and surface topological properties.

Main Methods:

  • Utilized a quantum simulator built with nitrogen-vacancy centers.
  • Performed quantum quenches to probe topological phases.
  • Observed dynamical bulk-surface correspondence in momentum space.
  • Measured dynamical spin textures and topological charges.

Main Results:

  • Demonstrated a dynamical bulk-surface correspondence in momentum space.
  • Showcased how bulk topology relates to quench dynamics on band inversion surfaces (BISs).
  • Uncovered symmetry protection of the 3D chiral phase by analyzing spin textures on BISs.
  • Identified an emergent dynamical topological transition by varying quench depth.

Conclusions:

  • Quantum simulators can fully investigate topological phases, including bulk and surface properties.
  • The study highlights the momentum-space counterpart of bulk-boundary correspondence.
  • Observed phenomena provide insights into symmetry protection and topological transitions in quantum materials.