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Updated: Jun 25, 2026
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Comments on tables of magnetic space groups.
1Laboratory for Developments and Methods, Condensed Matter Research with Neutrons and Muons, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland. hans.grimmer@psi.ch
Acta Crystallographica. Section A, Foundations of Crystallography
|February 20, 2009
Summary
This study compares Opechowski-Guccione (OG) and Belov-Neronova-Smirnova (BNS) notations for Shubnikov space groups. It corrects errors in Litvin
Area of Science:
- Crystallography
- Mathematical and Theoretical Crystallography
- Crystal Structure
Background:
- The study examines the extension of crystallographic information from standard space groups to Shubnikov space groups.
- It focuses on the application of Opechowski-Guccione (OG) notation for describing symmetry in black-white lattices within Shubnikov space groups.
Discussion:
- The paper critically evaluates the Opechowski-Guccione (OG) notation, highlighting its disadvantages compared to the Belov-Neronova-Smirnova (BNS) notation.
- It provides a detailed interpretation of Litvin's symmetry element diagrams for orthorhombic Shubnikov space groups using BNS symbols.
- The simplification of diagrams containing glide operations (e-glides) is demonstrated.
Key Insights:
- Identifies significant drawbacks in the Opechowski-Guccione (OG) notation for Shubnikov space groups.
- Offers a method to translate and simplify symmetry information using the more advantageous Belov-Neronova-Smirnova (BNS) notation.
- Corrects inaccuracies found in previously published symmetry diagrams for Shubnikov space groups.
Outlook:
- This work aims to improve the clarity and accuracy of crystallographic descriptions for complex symmetry systems.
- It paves the way for more consistent and error-free application of Shubnikov space group theory in various scientific fields.
- Future research may involve further development and application of the BNS notation for a wider range of symmetry groups.
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