Related Experiment Video
Updated: Aug 2, 2026

06:56
Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
Published on: May 23, 2017
Moiré patterns of curved line quasi-periodic structures
Summary
Researchers introduce novel quasi-periodic structures using a local reciprocal vector concept. This method effectively formulates and characterizes moiré patterns in curved line structures, highlighting new advantages.
Area of Science:
- Materials Science
- Crystallography
- Nanotechnology
Background:
- Quasi-periodic structures are essential in advanced materials science.
- Understanding moiré patterns is key to controlling material properties.
- Existing methods for curved structures are limited.
Purpose of the Study:
- To introduce a novel class of quasi-periodic structures based on curved lines.
- To present a comprehensive method for formulating and characterizing moiré patterns in these structures.
- To demonstrate the advantages of the local reciprocal vector concept for curved quasi-periodic systems.
Main Methods:
- Utilizing the local reciprocal vector concept to define curved line quasi-periodic structures.
- Applying a recently developed, comprehensive method for analysis.
- Generating and characterizing various moiré patterns from different structure pairs.
Main Results:
- A significant number of new quasi-periodic structures with varying periods were successfully introduced.
- Formulations and characterizations of moiré patterns for diverse curved line structures were achieved.
- The efficacy of the local reciprocal vector concept was demonstrated.
Conclusions:
- The local reciprocal vector concept provides a powerful tool for designing and analyzing curved quasi-periodic structures.
- This approach enables the creation and understanding of complex moiré patterns.
- The findings offer new possibilities for materials design and fabrication.
Related Concept Videos
Fluid Mosaic Model
The fluid mosaic model was first proposed as a visual representation of research observations. The model comprises the composition and dynamics of membranes and serves as a foundation for future membrane-related studies. The model depicts the structure of the plasma membrane with a variety of components, which include phospholipids, proteins, and carbohydrates. These integral molecules are loosely bound, defining the cell’s border and providing fluidity for optimal function.LipidsThe most...
Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
Fluid Mosaic Model
Scientists identified the plasma membrane in the 1890s and its principal chemical components (lipids and proteins) by 1915. The model for plasma membrane structure, proposed in 1935 by Hugh Davson and James Danielli, was the first model to be widely accepted in the scientific community. The model was based on the plasma membrane's "railroad track" appearance in early electron micrographs. Davson and Danielli theorized that the plasma membrane's structure resembled a sandwich with the analogy of...
Mohr's Circle for Plane Strain
Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is normal strain ∈ and the ordinate is shear strain γ. Similarly to Mohr’s circle for plane stress, two points X and Y are plotted. Their coordinates are (∈x, -γXY) and (∈Y, γXY), respectively.
Mohr's circle visually represents the strain states under various conditions, which is essential for understanding material behavior. The center of Mohr's...
Mohr's circle visually represents the strain states under various conditions, which is essential for understanding material behavior. The center of Mohr's...
Symmetry Elements in a Crystal
Crystal symmetry operations are isometric transformations that map objects onto indistinguishable copies while preserving distances, angles, and volumes. The simplest symmetry operation is translation, which shifts the entire infinite crystal lattice parallelly by a translation vector.Crystallographic rotations involve rotations by an angle of 2π/n around an axis without changing the positions of points on the axis. It is called the rotational axis of the symmetry, denoted by n. The combination...
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...

