Atomic step–terrace ordering enables unprecedented precision in mechanical testing

Osaka, Japan - As modern technologies shrink to the nanoscale, surfaces increasingly dictate how materials deform, yield, and fail. Yet probing this regime has long been hindered by the challenge of preparing and controlling surfaces with true atomic precision, particularly at the outermost atomic layer.

In a recent study published in Small, researchers from The University of Osaka report the creation of step–terrace–ordered GaN surfaces using catalyst-referred etching (CARE). Mechanical testing on these surfaces demonstrates exceptional reproducibility across 100 measurements, achieving record-low stress scatter.

“Surfaces matter more than you think,” says co-first author and Assistant Professor Yan Li. “Conventional roughness metrics in nanomechanical testing should be re-examined. A surface that is only apparently flat is not the same as a surface whose atomic arrangement is ordered down to the outermost atomic layer. In nanoscale mechanical testing, even slight disorder in this outermost layer can lead to scatter in the measured yield response.”

The researchers analyzed 100 load-displacement curves for each of three GaN single-crystal surfaces: CARE-treated, as-received, and mechanically buffed. The CARE-treated surface, featuring well-ordered monoatomic steps and atomically flat terraces, showed striking reproducibility. The relative standard deviation of stress was just 2.3% across 100 tests, representing the lowest scatter reported to date for nanoindentation-based evaluation of the onset of yielding.

By contrast, commercially available GaN substrates (as-received), typically produced by chemo-mechanical polishing, appear smooth at the microscale but retain multi-atomic steps and subtle atomic-scale irregularities at the outermost surface. These hidden features can induce local stress concentration or relaxation, thereby increasing scatter in the measured onset of yielding. The study shows that terrace roughening and multi-atomic steps at the outermost surface significantly perturb the onset of plasticity. In mechanically buffed surfaces, near-surface dislocations introduced by polishing further reduce reproducibility by facilitating plastic deformation at lower and less uniform stresses.

“Specimen preparation is as important as the testing method itself,” explains corresponding author Professor Atsutomo Nakamura. “By ordering the surface atomic structure of GaN crystals, we could evaluate the onset of yielding with unprecedented precision. This work provides a new criterion for nanoscale mechanical testing that goes beyond conventional roughness-based evaluation.”

The implications extend beyond GaN. In semiconductors, ceramics, metals, and functional crystals, nanoscale reliability depends on how precisely the onset of deformation can be evaluated. For practical technologies such as integrated circuits, optoelectronic devices, and micro-electro-mechanical systems (MEMS), hidden disorder at the outermost surface may introduce unexpected reliability issues. The study provides a framework for improving surface processing, quality control, materials design, and reliability assessment.

The article, “Atomic Step-Terrace Ordering Enables Unprecedentedly Low Pop-in Stress Scatter in GaN (0001)”, was published in Small on April 27, 2026 at DOI:  https://doi.org/10.1002/smll.202512390

About The University of Osaka

The University of Osaka was founded in 1931 as one of the seven imperial universities of Japan and is now one of Japan's leading comprehensive universities with a broad disciplinary spectrum. This strength is coupled with a singular drive for innovation that extends throughout the scientific process, from fundamental research to the creation of applied technology with positive economic impacts. Its commitment to innovation has been recognized in Japan and around the world. Now, The University of Osaka is leveraging its role as a Designated National University Corporation selected by the Ministry of Education, Culture, Sports, Science and Technology to contribute to innovation for human welfare, sustainable development of society, and social transformation.

Website: https://resou.osaka-u.ac.jp/en