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Related Concept Videos

Ionic Crystal Structures02:42

Ionic Crystal Structures

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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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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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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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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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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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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
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Soft spherical nanostructures with a dodecagonal quasicrystal-like order.

S B Rochal1, O V Konevtsova1, I A Shevchenko1

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Researchers predict unique structures in soft spherical nanostructures with dodecagonal quasicrystal (QC) arrangements. Simulations reveal snub cube geometry as the most stable organization for these novel QC nanostructures.

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Area of Science:

  • Materials Science
  • Nanotechnology
  • Crystallography

Background:

  • Soft quasicrystals (QC) offer unique properties for nanostructure fabrication.
  • Spherical templates are promising for creating complex nanostructures.
  • Dodecagonal local order is a key feature in some quasicrystalline materials.

Purpose of the Study:

  • To theoretically predict and simulate curvature-related structures in soft spherical nanostructures.
  • To explore the role of quasicrystalline order in nanostructure stabilization.
  • To identify the most energetically favorable global organization for these nanostructures.

Main Methods:

  • Theoretical modeling of quasicrystal (QC)-forming materials on spherical templates.
  • Computer simulations of disordered and perfect spherical nanostructures.
  • Analysis of curvature-induced topological defects and point defects.

Main Results:

  • Disordered nanostructures exhibit curvature-induced topological defects (scars).
  • Regular nanostructures, inspired by viral capsids and planar tilings, show stabilized configurations.
  • QC-like degrees of freedom aid stabilization and control defect formation.
  • Snub cube geometry emerges as the most energetically favorable global organization.

Conclusions:

  • Soft spherical nanostructures with dodecagonal QC order can be stabilized.
  • The geometry of the nanostructure significantly impacts its stability and defect landscape.
  • This work provides a pathway for designing novel quasicrystalline-based nanostructures.