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Related Concept Videos

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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Ionic Crystal Structures02:42

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Ionic crystals consist of two or more different kinds of ions that usually have different sizes. The packing of these ions into a crystal structure is more complex than the packing of metal atoms that are the same size.
Most monatomic ions behave as charged spheres, and their attraction for ions of opposite charge is the same in every direction. Consequently, stable structures for ionic compounds result (1) when ions of one charge are surrounded by as many ions as possible of the opposite...
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The Seven Crystal Systems: Overview01:24

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Crystals with various point group symmetries belong to different crystal classes, which are synonymous terms. Despite being in the same class, crystals may have distinct shapes, like cubes and octahedra. There are 32 three-dimensional point groups, all of which are systematically divided into seven crystal systems.The basic cubic crystal system, exemplified by NaCl, features orthogonal vectors (α = β = �� = 90°) of equal lengths (a = b = c). When specific...
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Lattice Centering and Coordination Number02:33

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
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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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Coordination Number and Geometry02:57

Coordination Number and Geometry

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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.
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Related Experiment Video

Updated: Mar 26, 2026

Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
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Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope

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Hexagonal RMnO3: a model system for two-dimensional triangular lattice antiferromagnets.

Hasung Sim1, Joosung Oh1, Jaehong Jeong1

  • 1Center for Correlated Electron Systems, Institute for Basic Science (IBS) and Department of Physics and Astronomy, Seoul National University, Seoul 08826, Korea.

Acta Crystallographica Section B, Structural Science, Crystal Engineering and Materials
|February 3, 2016
PubMed
Summary
This summary is machine-generated.

Hexagonal RMnO3 materials show multiferroic properties. Their unique geometry and frustrated magnetic lattice make them ideal for studying spin-lattice coupling and ferroelectricity.

Keywords:
ferroelectricitymagnetic frustrationmagnetic structuresmultiferroic materialsspin-lattice coupling

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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Solid State Chemistry

Background:

  • Hexagonal RMnO3 (h-RMnO3) are multiferroic materials exhibiting coexisting magnetic order and ferroelectricity.
  • Their unique geometry leads to an unusual mechanism for breaking inversion symmetry.
  • They possess a two-dimensional triangular lattice of Mn spins, prone to geometrical magnetic frustration from antiferromagnetic interactions.

Purpose of the Study:

  • To review the understanding of hexagonal RMnO3 as a model system for spin-lattice coupling.
  • To explore the interplay between improper ferroelectricity, Mn trimerization, and magnetic structure symmetry.
  • To highlight the role of advanced diffraction and scattering techniques in characterizing these materials.

Main Methods:

  • Neutron diffraction
  • X-ray diffraction
  • Inelastic neutron scattering

Main Results:

  • Demonstration of the essential role of diffraction and scattering techniques in elucidating h-RMnO3 properties.
  • Comprehensive picture of the relationship between structure, ferroelectricity, and magnetism in h-RMnO3.
  • Insights into spin-lattice coupling mechanisms driven by structural distortions.

Conclusions:

  • h-RMnO3 serves as a crucial model system for investigating multiferroicity and spin-lattice coupling.
  • Structural distortions are key to the observed ferroelectricity and magnetic properties.
  • Neutron and X-ray scattering techniques are indispensable for understanding these complex materials.