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Related Concept Videos

Metallic Solids02:37

Metallic Solids

21.1K
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....
21.1K
Ionic Crystal Structures02:42

Ionic Crystal Structures

18.7K
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...
18.7K
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

13.2K
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...
13.2K
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

31.2K
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...
31.2K
Structures of Solids02:22

Structures of Solids

19.5K
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...
19.5K
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

49.0K
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,...
49.0K

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Updated: Feb 24, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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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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Bronze-mean hexagonal quasicrystal.

Tomonari Dotera1, Shinichi Bekku1, Primož Ziherl2,3

  • 1Department of Physics, Kindai University, 3-4-1 Kowakae Higashi-Osaka 577-8502, Japan.

Nature Materials
|August 15, 2017
PubMed
Summary
This summary is machine-generated.

Researchers discovered a new bronze-mean hexagonal quasicrystal pattern, offering a novel metallic-mean tiling. This finding opens possibilities for creating new quasicrystalline materials and understanding existing alloys.

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Area of Science:

  • Materials Science
  • Crystallography
  • Soft Matter Physics

Background:

  • Conventional quasicrystals exhibit non-traditional symmetries (icosahedral, dodecagonal, etc.) due to irrational ratios of length scales.
  • Known examples include Penrose and Ammann-Beenker tilings, related to golden and silver means, but other metallic-mean tilings are scarce.

Purpose of the Study:

  • To propose a novel self-similar bronze-mean hexagonal quasicrystal pattern.
  • To explore its potential realization in soft materials and its relation to quasicrystalline approximants.

Main Methods:

  • Theoretical proposal of a bronze-mean hexagonal pattern derived from a higher-dimensional lattice projection.
  • Numerical simulations to demonstrate materialization in core-shell polymeric colloidal particles.
  • Systematic variation of pattern geometry to generate a structural sequence.

Main Results:

  • Introduction of a new metallic-mean tiling based on the bronze mean.
  • Demonstration of a disordered variant's potential realization in soft polymeric colloids.
  • Generation of a continuous sequence of structures by modifying the pattern geometry.

Conclusions:

  • The proposed bronze-mean hexagonal pattern represents a new class of quasicrystal.
  • Soft polymeric colloids offer a viable route for materializing such quasicrystals.
  • The generated structures provide a new framework for interpreting quasicrystalline approximants in alloys.