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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...
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

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...
Structures of Solids02:22

Structures of Solids

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...
Unit Cells01:18

Unit Cells

A crystal's internal structure is an orderly array of atoms, ions, or molecules, and the details of this array significantly influence the solid's properties. In a crystal, periodically repeating 'structural motifs' - which could be atoms, molecules, or groups thereof - create a 'space lattice.' This is essentially a three-dimensional, infinite array of points, each surrounded by its neighbors in an identical way, forming the basic structure of the crystal.A 'unit cell' is a theoretical...
Ionic Crystal Structures02:42

Ionic Crystal Structures

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...
Imperfections in Crystal Structure: Point, Line and Plane Defects01:25

Imperfections in Crystal Structure: Point, Line and Plane Defects

A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...

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Related Experiment Video

Updated: Jun 23, 2026

High-Contrast and Fast Photorheological Switching of a Twist-Bend Nematic Liquid Crystal
06:24

High-Contrast and Fast Photorheological Switching of a Twist-Bend Nematic Liquid Crystal

Published on: October 31, 2019

Nematic cells with quasicrystalline-patterned alignment layers.

Michael H Schwarz1, Robert A Pelcovits

  • 1Department of Physics, Brown University, Providence, Rhode Island 02912, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 28, 2009
PubMed
Summary
This summary is machine-generated.

Nematic cells with quasicrystalline surface anchoring exhibit point defects. Simulations reveal half-integer disclination lines emerging from these defects, with behavior dependent on cell thickness and Penrose tiling properties.

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Last Updated: Jun 23, 2026

High-Contrast and Fast Photorheological Switching of a Twist-Bend Nematic Liquid Crystal
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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Soft Matter Physics

Background:

  • Nematic liquid crystals are widely studied for their unique optical and electronic properties.
  • Surface anchoring fields dictate the behavior of liquid crystals in confined geometries.
  • Quasicrystalline symmetry presents novel possibilities for surface patterning and defect formation.

Purpose of the Study:

  • To investigate the behavior of nematic liquid crystals in cells with quasicrystalline surface anchoring.
  • To analyze the formation and characteristics of topological defects within these nematic cells.
  • To explore the relationship between cell thickness, surface patterns, and defect line morphology.

Main Methods:

  • Fabrication of nematic cells using linear photopolymerizable polymers and specialized optics.
  • Monte Carlo simulations based on the Lebwohl-Lasher model.
  • Analysis of anchoring fields with the symmetry of a periodic approximant to a Penrose lattice.

Main Results:

  • The anchoring field exhibits point topological defects, predominantly with topological charge +/-1.
  • Half-integer disclination lines emerge from these point defects.
  • The morphology of disclination lines (traversing thickness, hugging surfaces, or combined) depends on cell thickness.

Conclusions:

  • Surface anchoring with quasicrystalline symmetry induces predictable defect structures in nematic cells.
  • Cell thickness is a critical parameter controlling the behavior of half-integer disclination lines.
  • Penrose tiling properties can estimate the critical thicknesses separating different disclination line behaviors.