Structural Analysis of Nanoscale Network Materials Using Graph Theory

Area of Science:

• Materials Science
• Nanotechnology
• Computational Materials Science

Background:

• Percolating nanoscale networks (PNNs) are crucial in advanced materials but possess complex, aperiodic structures.
• Traditional methods struggle to describe the intricate architectures of PNNs, hindering materials design.
• Existing computational tools lack the ability to capture and quantify the branching fibril patterns in these composites.

Purpose of the Study:

• To introduce StructuralGT, a computational package for automated graph theoretical (GT) description of PNNs.
• To address the challenges in describing complex PNN architectures and enumerating fibril patterns.
• To enable quantitative structural analysis of PNNs from micrograph data.

Main Methods:

• Development of the StructuralGT computational package.
• Utilizing graph theory to generate GT descriptions from PNN micrographs.
• Demonstration using aramid nanofiber-based nanoscale networks, analyzing 13 GT parameters.

Main Results:

• StructuralGT successfully generates quantitative descriptions of PNNs, including morphology, connectivity, and transfer patterns.
• The software provides accurate analysis across various micrograph qualities (noise, contrast, focus, magnification).
• A user-friendly graphical interface enhances accessibility for researchers.

Conclusions:

• StructuralGT offers a unifying approach for describing complex PNNs, overcoming limitations of traditional methods.
• The calculated GT parameters can be correlated with material properties (e.g., ion transport, conductivity, stiffness).
• StructuralGT facilitates the use of machine learning for effective materials design based on quantitative structural insights.