Real-space texture and pole-figure analysis using the 3D pair distribution function on a platinum thin film

Area of Science:

• Materials Science
• Crystallography
• Nanotechnology

Background:

• Studying texture in nanostructured materials is crucial for understanding their properties.
• Traditional methods often rely on reciprocal-space analysis, which can be complex.
• A direct real-space approach offers potential advantages in texture analysis.

Purpose of the Study:

• To present and demonstrate a real-space approach for texture analysis in nanostructured materials.
• To implement the texture pair distribution function (txPDF) for crystallite orientation reconstruction.
• To introduce open-source software for processing 3D PDF data.

Main Methods:

• Utilized the real-space texture pair distribution function (txPDF).
• Employed 3D PDF methods to reconstruct orientation distribution functions from diffraction patterns at various tilt angles.
• Defined and computed a real-space equivalent of reciprocal-space pole figures.

Main Results:

• Successfully demonstrated the txPDF approach on a fiber-textured polycrystalline Pt thin film.
• Reconstructed the orientation distribution function directly from 3D PDF data.
• Showed how to obtain an isotropic PDF from a weighted average of tilt series data.

Conclusions:

• The txPDF approach provides a viable method for studying texture in nanostructured materials.
• The developed methods enable direct reconstruction of orientation distributions from real-space data.
• The open-source FouriGUI software facilitates texture analysis and 3D PDF visualization.