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Related Concept Videos

Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

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...
Coordination Number and Geometry02:57

Coordination Number and Geometry

For transition metal complexes, the coordination number determines the geometry around the central metal ion. Table 1 compares coordination numbers to molecular geometry. The most common structures of the complexes in coordination compounds are octahedral, tetrahedral, and square planar.
Metal-Ligand Bonds02:51

Metal-Ligand Bonds

The hemoglobin in the blood, the chlorophyll in green plants, vitamin B-12, and the catalyst used in the manufacture of polyethylene all contain coordination compounds. Ions of the metals, especially the transition metals, are likely to form complexes.
In these complexes, transition metals form coordinate covalent bonds, a kind of Lewis acid-base interaction in which both of the electrons in the bond are contributed by a donor (Lewis base) to an electron acceptor (Lewis acid). The Lewis acid in...
Valence Bond Theory02:42

Valence Bond Theory

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...
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

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,...
Metallic Solids02:37

Metallic Solids

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. Many...

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Related Experiment Video

Updated: May 13, 2026

Experimental Approaches for the Synthesis of Low-Valent Metal-Organic Frameworks from Multitopic Phosphine Linkers
07:14

Experimental Approaches for the Synthesis of Low-Valent Metal-Organic Frameworks from Multitopic Phosphine Linkers

Published on: May 12, 2023

Flat Chern band in a two-dimensional organometallic framework.

Zheng Liu1, Zheng-Fei Wang, Jia-Wei Mei

  • 1Department of Materials Science and Engineering, University of Utah, Salt Lake City, Utah 84112, USA.

Physical Review Letters
|March 26, 2013
PubMed
Summary

Researchers designed a novel 2D indium-phenylene material exhibiting a flat Chern band, a key structure for high-temperature fractional quantum Hall states, potentially realizing exotic physics in real materials.

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Last Updated: May 13, 2026

Experimental Approaches for the Synthesis of Low-Valent Metal-Organic Frameworks from Multitopic Phosphine Linkers
07:14

Experimental Approaches for the Synthesis of Low-Valent Metal-Organic Frameworks from Multitopic Phosphine Linkers

Published on: May 12, 2023

Synthesis and Characterization of Functionalized Metal-organic Frameworks
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Synthesis and Characterization of Functionalized Metal-organic Frameworks

Published on: September 5, 2014

Synthesis of Single-Crystalline Core-Shell Metal-Organic Frameworks
05:26

Synthesis of Single-Crystalline Core-Shell Metal-Organic Frameworks

Published on: February 10, 2023

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Chemistry

Background:

  • Flat Chern bands are theoretically proposed to host high-temperature fractional quantum Hall states.
  • Existing theoretical models lack experimental realization in actual materials.

Purpose of the Study:

  • To design a real material exhibiting a nearly flat Chern band.
  • To explore the potential of organometallic frameworks for topological materials.

Main Methods:

  • First-principles calculations were used to design a 2D indium-phenylene organometallic framework.
  • The design combines lattice geometry, spin-orbit coupling, and ferromagnetism.
  • An effective four-band model was constructed to validate the findings.

Main Results:

  • A novel 2D indium-phenylene material was designed, featuring a nearly flat Chern band at the Fermi level.
  • The material's properties arise from the interplay of lattice geometry, spin-orbit coupling, and ferromagnetism.
  • The first-principles results were successfully reproduced by an effective four-band model.

Conclusions:

  • The designed indium-phenylene framework offers a promising platform for realizing high-temperature fractional quantum Hall states.
  • This work presents a general strategy for synthesizing topologically nontrivial materials using organic chemistry and nanotechnology.