Exact Direct-Space Asymmetric Units for Crystallographic Space Groups
Author Information
Author(s): Ralf W. Grosse-Kunstleve, Buddy Wong, Marat Mustyakimov, Paul D. Adams
Primary Institution: Lawrence Berkeley National Laboratory
Hypothesis
This paper introduces a concise geometric notation for asymmetric unit conditions.
Conclusion
The study provides a complete and uniform definition of exact direct-space asymmetric units for all 230 crystallographic space-group types.
Supporting Evidence
- The study introduces a concise geometric notation that simplifies the definitions of asymmetric units.
- A reference table for exact direct-space asymmetric units is provided for all 230 space groups.
- The new definitions are compatible with existing International Tables for Crystallography.
Takeaway
The researchers created a new way to define the smallest parts of space used in crystallography, making it easier to understand and calculate.
Methodology
The paper presents a new geometric notation and a reference table for exact direct-space asymmetric unit definitions, validated through a sampling procedure.
Limitations
The manual approach used for determining face- and edge-specific sub-conditions may not be as efficient as an algorithmic approach.
Digital Object Identifier (DOI)
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