Exploring the property space of periodic cellular structures based on crystal networks

Area of Science:

• Materials Science
• Structural Engineering
• Crystallography

Background:

• Periodic cellular structures' properties depend on material arrangement and unit cell design.
• Advances in 3D fabrication necessitate novel microstructural topologies for diverse applications.

Purpose of the Study:

• To systematically explore and catalog crystallographic network topologies as potential unit cells for architected materials.
• To identify novel structures with extremal properties and understand the link between symmetry and mechanical behavior.

Main Methods:

• Analysis of publicly available crystallographic network topologies.
• Interpretation of molecular crystal networks as mechanical structures (nodes connected by bars).
• Creation of a comprehensive unit cell catalog.

Main Results:

• A catalog of over 17,000 unique unit cell topologies was generated.
• New structures with extremal properties were identified, alongside known ones like the octet-truss and Kelvin cell.
• Relationships between crystallographic symmetries and mechanical properties were established.

Conclusions:

• Crystallographic networks offer a rich source for designing novel cellular structures.
• This work bridges crystal chemistry and structural engineering, enabling computational discovery of advanced materials.
• The catalog facilitates the design of microstructures with unprecedented properties.