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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

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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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Structures of Solids02:22

Structures of Solids

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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Metallic Solids02:37

Metallic Solids

19.7K
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....
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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

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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...
28.6K
Ionic Crystal Structures02:42

Ionic Crystal Structures

15.9K
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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Related Experiment Video

Updated: Oct 29, 2025

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
12:33

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles

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Programming patchy particles to form three-dimensional dodecagonal quasicrystals.

Daniel F Tracey1, Eva G Noya2, Jonathan P K Doye1

  • 1Physical and Theoretical Chemistry Laboratory, Department of Chemistry, University of Oxford, Oxford OX1 3QZ, United Kingdom.

The Journal of Chemical Physics
|July 9, 2021
PubMed
Summary
This summary is machine-generated.

Researchers designed patchy particles capable of forming 3D dodecagonal quasicrystals. One design uses seven-patch particles, while another, more experimentally viable, uses a mix of seven- and eight-patch particles.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Nanotechnology

Background:

  • Patchy particles self-assemble into diverse structures, including 2D quasicrystals.
  • Designing particles for specific 3D structures remains a challenge.

Purpose of the Study:

  • To design patchy particles that self-assemble into 3D quasicrystals with dodecagonal symmetry.
  • To investigate particle designs capable of forming stacked 2D quasicrystalline layers.

Main Methods:

  • Computational annealing simulations.
  • Design and testing of novel patchy particle interaction models.
  • Analysis of resulting self-assembled structures.

Main Results:

  • Two successful designs for 3D dodecagonal quasicrystals were identified.
  • A one-component system of seven-patch particles with wide patches formed the target structure.
  • A ternary system of seven- and eight-patch particles also formed the dodecagonal quasicrystal, offering experimental feasibility.

Conclusions:

  • Patchy particle design can achieve complex 3D quasicrystalline structures.
  • The ternary system presents a promising route for experimental realization, potentially using DNA origami.
  • The one-component system frequently exhibited screw dislocations within the quasicrystal.