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 Experiment Videos

Statistical dynamical direct methods. II. The three-phase structure invariant.

F N Chukhovskii1, J J Hu, L D Marks

  • 1Department of Materials Science and Engineering, Northwestern University, Evanston, IL 60208-3108, USA.

Acta Crystallographica. Section A, Foundations of Crystallography
|April 28, 2001
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

[Clinical analysis of Tolosa-Hunt syndrome].

[Zhonghua yan ke za zhi] Chinese journal of ophthalmology·2025
Same author

[Analysis of epidemiological characteristics of hepatitis B mortality status from 2006 to 2021 among Chinese residents].

Zhonghua gan zang bing za zhi = Zhonghua ganzangbing zazhi = Chinese journal of hepatology·2025
Same author

[Advances in voice feminization therapy for transgender women].

Zhonghua er bi yan hou tou jing wai ke za zhi = Chinese journal of otorhinolaryngology head and neck surgery·2024
Same author

Flexoelectricity, Triboelectricity, and Free Interfacial Charges.

Small (Weinheim an der Bergstrasse, Germany)·2024
Same author

Pan-cancer analysis of heterogeneity of tumor mutational burden and genomic mutation under treatment pressure.

ESMO open·2024
Same author

[Research progress on the effects of exposure to major persistent organic pollutants during pregnancy on the functional development of nervous system in children].

Zhonghua yu fang yi xue za zhi [Chinese journal of preventive medicine]·2024
Same journal

Report of the Executive Committee for 2006.

Acta crystallographica. Section A, Foundations of crystallography·2020
Same journal

Spin line groups.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

Distribution rules of systematic absences on the Conway topograph and their application to powder auto-indexing.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

Platonic solids generate their four-dimensional analogues.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

C70, C80, C90 and carbon nanotubes by breaking of the icosahedral symmetry of C60.

Acta crystallographica. Section A, Foundations of crystallography·2013
Same journal

Comparative study of X-ray charge-density data on CoSb3.

Acta crystallographica. Section A, Foundations of crystallography·2013
See all related articles

This study extends triplet distribution for electron diffraction to complex cases, showing statistical handling yields good results for dynamical transmission electron diffraction. This approach approximates the effective dynamical potential when kinematical theory is insufficient.

Area of Science:

  • Materials Science
  • Solid State Physics
  • Crystallography

Background:

  • Kinematical diffraction theory is a common approximation for electron diffraction.
  • Dynamical diffraction effects become significant for thicker samples or strongly diffracting materials.
  • Accurate determination of potentials is crucial for understanding electron diffraction phenomena.

Purpose of the Study:

  • To extend the triplet distribution method to the complex case for dynamical transmission electron diffraction.
  • To evaluate the statistical handling of distributions for improved accuracy.
  • To develop a method for approximating the effective dynamical potential in regimes where kinematical theory fails.

Main Methods:

  • Extension of triplet distribution formalism to complex numbers.

Related Experiment Videos

  • Statistical analysis of triplet distributions instead of single relationships.
  • Application of conventional statistical direct methods.

    • Main Results:

    • The extended triplet distribution provides good results for dynamical transmission electron diffraction when handled statistically.
    • Statistical direct methods approximate the effective dynamical potential for thicknesses where kinematical theory is inadequate.
    • The recovered effective dynamical potential can differ significantly from the kinematical potential.

    Conclusions:

    • Statistical treatment of extended triplet distributions is effective for dynamical electron diffraction.
    • This method offers a viable approach to determine effective dynamical potentials beyond the limitations of kinematical theory.
    • The findings advance the understanding of electron scattering in materials science and condensed matter physics.