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

Properties of Laplace Transform-II01:16

Properties of Laplace Transform-II

266
Time differentiation, convolution, integration, and periodicity are fundamental concepts in analyzing functions and signals over time. Each concept provides a unique perspective on how functions evolve, interact, and repeat, offering essential tools for various scientific and engineering applications.
Time differentiation involves analyzing the rate of change of a function over time. Mathematically, it is the derivative of a function with respect to time. This concept can be likened to tracking...
266

You might also read

Related Articles

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

Sort by
Same author

Role of Monomer/Tetramer Equilibrium of Rod Visual Arrestin in the Interaction with Phosphorylated Rhodopsin.

International journal of molecular sciences·2023
Same author

Aggregation structure of chiral cubic liquid crystals revealed by X-ray diffraction utilizing a new algorithm.

Soft matter·2023
Same author

Crystallographic phase retrieval method for liquid crystal bicontinuous phases: indicator-based method.

Acta crystallographica. Section A, Foundations and advances·2022
Same author

Polar-Nonpolar Interfaces of Normal Bicontinuous Cubic Phases in Nonionic Surfactant/Water Systems Are Parallel to the Gyroid Surface.

Langmuir : the ACS journal of surfaces and colloids·2020
Same author

Conformational Differences among Metarhodopsin I, Metarhodopsin II, and Opsin Probed by Wide-Angle X-ray Scattering.

The journal of physical chemistry. B·2019
Same author

Polar-Nonpolar Interfaces of Inverse Bicontinuous Cubic Phases in Phytantriol/Water System are Parallel to Triply Periodic Minimal Surfaces.

Langmuir : the ACS journal of surfaces and colloids·2018

Related Experiment Video

Updated: Aug 15, 2025

A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery
09:41

A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery

Published on: May 20, 2016

12.4K

A phase retrieval algorithm for triply periodic minimal surface like structures.

Toshihiko Oka1

  • 1Department of Physics, Faculty of Science, Nanomaterials Research Division, Research Institute of Electronics, Shizuoka University, Shizuoka, 422-8529, Japan.

Acta Crystallographica. Section A, Foundations and Advances
|January 5, 2023
PubMed
Summary

A new iterative algorithm solves the crystallographic phase problem for materials with triply periodic minimal surface structures. This method efficiently determines material structures by minimizing electron density differences, aiding in the analysis of liquid crystals and silicas.

Keywords:
crystallographic phase retrievallyotropic liquid crystalsmesoporous silicatriply periodic minimal surfaces

More Related Videos

Surface Mapping of Earth-like Exoplanets using Single Point Light Curves
06:48

Surface Mapping of Earth-like Exoplanets using Single Point Light Curves

Published on: May 10, 2020

3.6K
Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

8.5K

Related Experiment Videos

Last Updated: Aug 15, 2025

A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery
09:41

A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery

Published on: May 20, 2016

12.4K
Surface Mapping of Earth-like Exoplanets using Single Point Light Curves
06:48

Surface Mapping of Earth-like Exoplanets using Single Point Light Curves

Published on: May 10, 2020

3.6K
Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

8.5K

Area of Science:

  • Crystallography
  • Materials Science
  • Structural Biology

Background:

  • The crystallographic phase problem hinders accurate structure determination.
  • Triply periodic minimal surface (TPMS) structures, like lyotropic liquid crystal bicontinuous cubic phases, present unique challenges.
  • Existing methods struggle with the subtle electron density variations in TPMS materials.

Purpose of the Study:

  • To develop a novel iterative phase retrieval algorithm for TPMS structures.
  • To address the limitations of current methods in solving the crystallographic phase problem for these complex materials.
  • To enable accurate structure determination of lyotropic liquid crystal phases and mesoporous silicas.

Main Methods:

  • Developed an iterative phase retrieval algorithm based on minimizing the difference between maximum and minimum electron densities.
  • Modified electron densities outside defined thresholds during iterative Fourier transformation.
  • Utilized fixed amplitudes for structure factors in the algorithm.
  • Applied constraints like volume fraction in specific cases.

Main Results:

  • Successfully determined the correct structure for all tested lyotropic liquid crystal bicontinuous cubic phases.
  • Accurately solved structures for mesoporous silica materials.
  • Over half of the structures were determined without requiring constraints such as volume fraction or space groups.

Conclusions:

  • The new algorithm effectively solves the crystallographic phase problem for TPMS materials.
  • This method offers a robust approach for structure determination in materials science and crystallography.
  • The algorithm demonstrates high success rates, even for complex structures and without additional constraints.