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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

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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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Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

27.4K
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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The Hall Effect01:30

The Hall Effect

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Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
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Chirality at Nitrogen, Phosphorus, and Sulfur02:30

Chirality at Nitrogen, Phosphorus, and Sulfur

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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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Radicals: Electronic Structure and Geometry01:07

Radicals: Electronic Structure and Geometry

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This lesson delves into the geometry of a radical, which is influenced by the electronic structure of the molecule. The principle is similar to that of a lone pair, where the unpaired electron influences the geometry at the radical center.
Accordingly, the structure of a trivalent radical lies between the geometries of carbocations and carbanions. An sp2-hybridized carbocation is trigonal planar, while an sp3-hybridized carbanion is trigonal pyramidal. Here, the difference in geometry is...
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Radical Halogenation: Stereochemistry01:33

Radical Halogenation: Stereochemistry

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Stereochemistry is the study of the different spatial arrangements of atoms in a given molecule. The stereochemistry of radical halogenations can be understood from three different situations:
Halogenation to form a new chiral center:
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Video Experimental Relacionado

Updated: Sep 9, 2025

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
06:35

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

Published on: February 15, 2016

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Diseño de cristales de Hall con números de Chern variables

Nisarga Paul1, Gal Shavit2,3, Liang Fu4

  • 1Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, USA. npaul@mit.edu.

Nature communications
|August 29, 2025
PubMed
Resumen
Este resumen es generado por máquina.

Los investigadores desarrollaron una nueva plataforma para cristales Hall inducidos por interacción, un tipo de cristal electrónico topológico con respuestas topológicas sintonizables. Estos nuevos cristales exhiben propiedades únicas en varias condiciones, ofreciendo nuevas vías en la física de la materia condensada.

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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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Área de la Ciencia:

  • Física de la materia condensada
  • Ciencias de los materiales
  • Mecánica Cuántica

Sus antecedentes:

  • Los cristales electrónicos topológicos exhiben simetría de traducción rota y respuestas topológicas no triviales.
  • La comprensión de las fases topológicas inducidas por la interacción es crucial para las nuevas propiedades electrónicas.

Objetivo del estudio:

  • Introducir una nueva plataforma y teoría analítica para la realización de cristales de Hall inducidos por la interacción.
  • Explorar la sintonizabilidad de los números de Chern (C) en estos cristales electrónicos topológicos.
  • Investigar la persistencia y el diagrama de fase de estos nuevos estados electrónicos.

Principales métodos:

  • Utilizando un semiconductor bidimensional sometido a un campo magnético fuera de plano y una modulación unidimensional.
  • Empleo de ingeniería moiré o dieléctrica para la realización de plataformas.
  • Desarrollar una teoría analítica para comprender los fenómenos emergentes.

Principales resultados:

  • Demostró la realización de cristales Hall anisotrópicos con varios números de Chern (C), incluido el C < 1.
  • Muestra la sintonizabilidad de las propiedades topológicas por el campo magnético.
  • Persistencia observada de estos estados topológicos a través de rangos continuos de relleno y campo magnético.

Conclusiones:

  • La nueva plataforma permite la creación y el control de cristales de Hall inducidos por la interacción.
  • La teoría analítica proporciona una comprensión unificada del diagrama de fase global.
  • Estos hallazgos abren nuevas posibilidades para el diseño de materiales con propiedades electrónicas topológicas a medida.