Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Ionic Crystal Structures02:42

Ionic Crystal Structures

17.7K
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...
17.7K
Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

1.3K
Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the...
1.3K
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

31.0K
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...
31.0K
Rectangular and Triangular Pulse Function01:19

Rectangular and Triangular Pulse Function

2.0K
The unit rectangular pulse function is mathematically represented by a rectangular function centered at the origin with a height of one unit. This function is defined by two parameters: T, which specifies the center location of the pulse along the time axis, and τ, which determines the pulse duration.
For example, consider a rectangular pulse with a 5V amplitude, a 3-second duration, and centered at t=2 seconds. This pulse can be expressed using the rectangular function, written as,
2.0K
Crystal Growth: Principles of Crystallization01:25

Crystal Growth: Principles of Crystallization

5.1K
Crystallization is a phase transformation process in which crystals are precipitated from a supersaturated solution or formed from other sources. During crystallization, atoms or molecules arrange themselves into a well-defined, rigid crystal lattice to minimize energy.
Initiating crystallization involves manipulating the concentration of the solute and the temperature of the solution. Since crystal growth occurs when the ratio of concentration and solubility of the solute in the solvent...
5.1K
Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

547
In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these...
547

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Elevated hospital floor-based HDU (POPUP-HDU): a new safe alternative to PICU for high-risk neuromuscular and syndromic children undergoing scoliosis surgery.

Spine deformity·2024
Same author

Evaluation of validated food quantification aids for dietary assessment: A systematic review - CORRIGENDUM.

The Proceedings of the Nutrition Society·2023
Same author

Effect of nutrients deficiency on biofilm formation and single cell protein production with a purple non-sulphur bacteria enriched culture.

Biofilm·2023
Same author

Interventions for great saphenous vein reflux: network meta-analysis of randomized clinical trials.

The British journal of surgery·2021
Same author

Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoring.

Physical review. E·2021
Same author

Colonic microbiota is associated with inflammation and host epigenomic alterations in inflammatory bowel disease.

Nature communications·2020
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Feb 13, 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

6.9K

Nematic liquid crystal director structures in rectangular regions.

J Walton1, N J Mottram1, G McKay1

  • 1Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, United Kingdom.

Physical Review. E
|March 18, 2018
PubMed
Summary
This summary is machine-generated.

Researchers analyzed nematic liquid crystal behavior in a shallow rectangular well with weak surface anchoring. This approach allowed for defect-free analysis and derived analytic expressions for director alignment, revealing critical anchoring strengths for structural transitions.

More Related Videos

Preparation of Monodomain Liquid Crystal Elastomers and Liquid Crystal Elastomer Nanocomposites
12:21

Preparation of Monodomain Liquid Crystal Elastomers and Liquid Crystal Elastomer Nanocomposites

Published on: February 6, 2016

13.6K
Synthesis of Biocompatible Liquid Crystal Elastomer Foams as Cell Scaffolds for 3D Spatial Cell Cultures
13:38

Synthesis of Biocompatible Liquid Crystal Elastomer Foams as Cell Scaffolds for 3D Spatial Cell Cultures

Published on: April 11, 2017

10.1K

Related Experiment Videos

Last Updated: Feb 13, 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

6.9K
Preparation of Monodomain Liquid Crystal Elastomers and Liquid Crystal Elastomer Nanocomposites
12:21

Preparation of Monodomain Liquid Crystal Elastomers and Liquid Crystal Elastomer Nanocomposites

Published on: February 6, 2016

13.6K
Synthesis of Biocompatible Liquid Crystal Elastomer Foams as Cell Scaffolds for 3D Spatial Cell Cultures
13:38

Synthesis of Biocompatible Liquid Crystal Elastomer Foams as Cell Scaffolds for 3D Spatial Cell Cultures

Published on: April 11, 2017

10.1K

Area of Science:

  • Physics
  • Materials Science
  • Chemical Engineering

Background:

  • Nematic liquid crystals exhibit unique optical and electrical properties.
  • Surface anchoring conditions significantly influence liquid crystal alignment.
  • Previous studies often assumed strong anchoring, necessitating exclusion of defects.

Purpose of the Study:

  • To investigate nematic liquid crystal equilibria in a shallow rectangular well under weak surface anchoring.
  • To develop analytic expressions for director alignment without excluding corner defects.
  • To determine critical anchoring strengths and analyze asymptotic behavior.

Main Methods:

  • Analytical derivation of director alignment angle using infinite series modes.
  • Analysis of roots of a transcendental equation.
  • Calculation of critical anchoring strengths for stability exchange.
  • Asymptotic analysis for very strong anchoring.

Main Results:

  • Analytic expressions for director alignment were derived for weak anchoring conditions.
  • Critical anchoring strengths for transitions between uniform and distorted director structures were identified.
  • Asymptotic behavior for strong anchoring was analyzed.
  • Analytic expansions showed excellent agreement with numerical calculations.

Conclusions:

  • Weak anchoring provides a more comprehensive model for nematic liquid crystal behavior in confined geometries.
  • The derived analytic solutions offer valuable insights into director configurations and stability.
  • The findings are crucial for designing liquid crystal devices with controlled alignment.