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Strain mapping of three-dimensionally structured two-dimensional materials
Adan Mireles1,2, Jeongwon Park3, Suk Hyun Sung4
1Department of Materials Science and NanoEngineering, Rice University, Houston, TX 77005, USA.
Science Advances
|February 27, 2026
Summary
Mapping strain in 3D-structured 2D materials is now possible with the novel BRIGHT technique. This method reconstructs topography and planar strain, enabling precise strain engineering for tunable material properties.
Area of Science:
- Materials Science
- Nanotechnology
- Condensed Matter Physics
Background:
- Strain engineering is vital for tuning the properties of two-dimensional (2D) materials.
- Out-of-plane deformation in 2D materials creates complex 3D topography, challenging conventional strain mapping.
- Accurate characterization of strain in 3D-structured 2D materials is crucial for advanced applications.
Purpose of the Study:
- To introduce a new integrated method, BRIGHT (Bragg-Rod Informed, Gradient-based Height-mapping Technique), for simultaneous reconstruction of topography and planar strain.
- To demonstrate the capability of BRIGHT for analyzing 3D-structured 2D materials with complex morphologies.
- To provide a foundation for enhanced strain engineering in 2D materials by considering out-of-plane features.
Main Methods:
- Utilized nanobeam four-dimensional scanning transmission electron microscopy (4D-STEM).
- Developed the BRIGHT technique integrating Bragg-Rod information and gradient-based height mapping.
- Applied the method to MoS2-MoSe2 transition metal dichalcogenide (TMD) lateral heterojunctions.
Main Results:
- Successfully reconstructed both the 3D topography and planar strain profile of the 2D material heterojunctions.
- Observed distinct surface morphologies and corresponding planar strain distributions influenced by heterojunction width.
- Quantified the impact of out-of-plane ripples on the strain landscape.
Conclusions:
- BRIGHT is an effective technique for characterizing strain in 3D-structured 2D materials.
- Understanding the interplay between topography and strain is essential for precise control of material properties.
- This work enables more sophisticated strain engineering strategies for 2D materials.
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