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

Dynamic inversion by the method of generalized projections.

Spence1, Calef, Zuo

  • 1Lawrence Berkeley Laboratory, MS 7-222, 1 Cyclotron Road, Berkeley, CA 94720, USA. spence@asu.edu

Acta Crystallographica. Section A, Foundations of Crystallography
|August 6, 2000
PubMed
Summary

A novel algorithm using generalized projections solves the dynamical electron diffraction phase problem by iteratively refining scattering matrices. This method successfully reconstructs crystal structures from simulated data, even for complex, non-convex scenarios.

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

Practical Remarks on the Use of Digitalis in Consumption.

The Medical and physical journal·2018
Same author

In vitro secretion of metallo-protease (200 kDa) by the pathogenic piscine haemoflagellate, Cryptobia salmositica Katz, and stimulation of protease production by collagen.

Journal of fish diseases·2018
Same author

Graduation Address to the Gentlemen Who Obtained the Degree of M.D. in the University of Edinburgh, 1st August 1865.

Edinburgh medical journal·2018
Same author

Statistical Report of Results of Operations Performed.

Edinburgh medical journal·2018
Same author

Statistical Report of Results of Operations Performed.

Edinburgh medical journal·2018
Same author

Observations on the Nature, Symptoms, and Treatment of Constricted or Strangulated Hernia, Reduced <i>En Bloc</i>.

Edinburgh medical journal·2018

Area of Science:

  • Crystallography
  • Materials Science
  • Computational Physics

Background:

  • The phase problem in electron diffraction hinders accurate crystal structure determination.
  • Existing dynamical diffraction inversion methods face challenges with non-convex solution spaces.

Purpose of the Study:

  • To develop a robust algorithm for solving the dynamical electron diffraction inversion problem.
  • To address the phase problem in both centrosymmetric and noncentrosymmetric crystal structures.

Main Methods:

  • Utilized generalized projections from set theory to iteratively refine constrained scattering matrices.
  • Developed an algorithm to navigate non-convex solution spaces (N(2) torus topology) and distinguish true solutions from traps.

Main Results:

Related Experiment Videos

  • Successfully reconstructed structure factors from simulated multiple-scattering electron diffraction data.
  • Demonstrated the algorithm's ability to solve the phase problem for various crystal symmetries.
  • Identified and managed 'traps' within the non-convex solution space.

Conclusions:

  • The generalized projection method provides a viable solution for the dynamical electron diffraction inversion problem.
  • This approach effectively solves the phase problem, applicable to diverse crystal structures.
  • Potential utility for three-beam X-ray diffraction problems is also suggested.