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

Zhdanov's rules work both ways.

Juan E Iglesias1

  • 1Instituto de Ciencia de Materiales de Madrid, Consejo Superior de Investigaciones Científicas, Cantoblanco, 28049 Madrid, Spain. jeiglesias@icmm.csic.es

Acta Crystallographica. Section A, Foundations of Crystallography
|April 15, 2006
PubMed
Summary

This study analyzes space-group symmetry in close-packed structures and their Zhdanov symbols. It clarifies how stacking symmetry influences Zhdanov symbols and vice versa, simplifying complex proofs.

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

Unraveling Normal Anatomy via Fluid-Driven Anomaly Randomization.

Proceedings. IEEE Computer Society Conference on Computer Vision and Pattern Recognition·2025
Same author

TV-BASED DEEP 3D SELF SUPER-RESOLUTION FOR FMRI.

Proceedings. IEEE International Symposium on Biomedical Imaging·2025
Same author

Publisher Correction: A human brain network linked to restoration of consciousness after deep brain stimulation.

Nature communications·2025
Same author

A human brain network linked to restoration of consciousness after deep brain stimulation.

Nature communications·2025
Same author

Cortico-hippocampal networks underpin verbal memory encoding in temporal lobe epilepsy.

Brain communications·2025
Same author

A human brain network linked to restoration of consciousness after deep brain stimulation.

medRxiv : the preprint server for health sciences·2024

Area of Science:

  • Crystallography
  • Materials Science
  • Solid-State Physics

Background:

  • Close-packed structures of equal spheres are fundamental in materials science.
  • Zhdanov symbols are a notation for describing polytypes in close-packed structures.
  • Understanding the symmetry of these structures is crucial for predicting material properties.

Purpose of the Study:

  • To analyze the relationship between space-group symmetry and Zhdanov symbols in close-packed structures.
  • To provide rigorous proofs for the symmetry correspondences between stacking and Zhdanov symbols.
  • To elucidate the complexities of inferring polytype symmetry from Zhdanov symbol symmetry.

Main Methods:

  • Symmetry analysis of close-packed structures.
  • Investigation of Zhdanov symbol properties.
  • Development of formal proofs for symmetry relationships.

Main Results:

  • Demonstrated straightforward proofs for symmetry transfer from stacking to Zhdanov symbols.
  • Identified the more complex nature of inferring polytype symmetry from Zhdanov symbol symmetry.
  • Provided a clearer understanding of why certain symmetry proofs are often oversimplified in literature.

Conclusions:

  • The symmetry of a close-packed structure is intrinsically linked to its Zhdanov symbol representation.
  • The direction of analysis (structure to symbol vs. symbol to structure) significantly impacts proof complexity.
  • This work offers a more rigorous foundation for understanding polytype symmetry in crystallography.

Related Experiment Videos