Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

The de Broglie Wavelength

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...

Propagation of Waves

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...

Equations of Wave Motion

Equations of Wave Motion

Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.

You might also read

Related Articles

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

Sort by

Same author

Interaction mechanism between tetramethylpyrazine and pumpkin seed protein: binding characteristics and functional property changes.

Food chemistry: X·2026

Same author

Preclinical evaluation of [<sup>68</sup>Ga]Ga-MRCP: a potential radiotracer for imaging PD-L1 expression in colorectal cancer.

Bioorganic chemistry·2026

Same author

Endowing Metal Oxychloride Solid Electrolytes with Improved Li Compatibility.

Journal of the American Chemical Society·2026

Same author

Anion-exchange fluorinated ion conductors for stable high-voltage lithium battery.

Nature communications·2026

Same author

Intrinsically Stable Amorphous Phases Unlock Sustainable Potassium Anodes.

Advanced materials (Deerfield Beach, Fla.)·2026

Same author

Visualizing the Hidden Atomic Pathways of Iron Oxidation.

Journal of the American Chemical Society·2026

Same journal

Immunofluorescence study and morphometric analysis of collagen-IV in the exchange tissue of the quail (Coturnix coturnix) lung by confocal laser scanning microscopy.

Micron (Oxford, England : 1993)·2026

Same journal

Micromorphological study of leaf surfaces structures in selected Crataegus L. (Rosaceae) species using light, scanning electron, and confocal laser microscopy.

Micron (Oxford, England : 1993)·2026

Same journal

3D reconstruction of the nymphal feeding apparatus of Philaenus spumarius.

Micron (Oxford, England : 1993)·2026

Same journal

The influence of physicians and surgeons on Leeuwenhoek's observations of crystal formation.

Micron (Oxford, England : 1993)·2026

Same journal

Distribution of telocytes in the choroid (eye) of a teleost: An ultrastructural observation.

Micron (Oxford, England : 1993)·2026

Same journal

SEM-EDAX: A tool for microanalytical elemental mapping in butterfly wing scales.

Micron (Oxford, England : 1993)·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Mar 2, 2026

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population

Published on: January 31, 2025

Quantitative comparison between real space and Bloch wave methods in image simulation.

Yi Yang¹, Qibin Yang¹, Jianyu Huang¹

¹School of Materials Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, China.

Micron (Oxford, England : 1993)

|May 21, 2017

Summary

This summary is machine-generated.

The real space multislice (RS-MS) method offers advantages over the Bloch wave (BW) method for crystal simulations, especially for larger unit cells. RS-MS provides higher accuracy by avoiding potential errors and uses a more manageable scattering matrix size.

Keywords:

Bloch wave method Diagonalization of matrix Electron crystallography Image simulation Real space method

More Related Videos

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM

Published on: November 1, 2017

Related Experiment Videos

Last Updated: Mar 2, 2026

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population

Published on: January 31, 2025

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM

Published on: November 1, 2017

Area of Science:

Materials Science
Crystallography
Computational Physics

Background:

The Bloch wave (BW) method is a popular simulation technique in crystallography, based on the Schrödinger equation.
The real space multislice (RS-MS) method is another simulation approach also based on the Schrödinger equation.

Purpose of the Study:

To compare the accuracy and computational efficiency of the BW and RS-MS methods.
To identify the conditions under which each method is more suitable for crystallographic simulations.

Main Methods:

Implementation of RS-MS in real space and BW in reciprocal space.
Quantitative calculation of exit wavefunctions for four crystals: Cu, MgAl2O4, Mg44Rh7, and KNbO3.
Analysis of the scattering matrix dimensions and accuracy implications for both methods.

Main Results:

Both BW and RS-MS methods show minor differences but are fundamentally similar.
RS-MS avoids accuracy loss from crystal potential calculation by considering all structure factors.
RS-MS scattering matrix dimension scales with the 2D unit cell area, while BW's scales with its square, making BW computationally intensive for large unit cells.
For crystals with 2D unit cells larger than 2.0nm x 2.0nm, RS-MS is recommended over BW due to computational limitations of the latter.

Conclusions:

The RS-MS method is advantageous for simulating crystals with large 2D unit cells, offering improved accuracy and computational feasibility compared to the BW method.
The choice between BW and RS-MS depends on the size of the crystal's 2D unit cell, with RS-MS being the preferred method for larger structures.