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A correlation-based optimization model to recover lost and distorted data from scanning tunneling microscopy images
Ehsan Moradpur-Tari1, Andreas Kyritsakis1, Mohadeseh Karimkhah2
1Institute of Technology, University of Tartu, Nooruse 1, 50411 Tartu, Estonia.
Ultramicroscopy
|January 1, 2026
Summary
This study introduces a physics-guided model to improve scanning tunneling microscopy (STM) imaging by correcting tip effects and thermal drift. The model enhances data accuracy and increases microscopy speed for nanoscience applications.
Area of Science:
- Nanoscience and Nanotechnology
- Surface Science
- Materials Science
Background:
- Scanning tunneling microscopy (STM) is crucial for nanoscience but susceptible to tip effects and thermal drift, distorting image data.
- Accurate STM imaging requires precise parameter extraction, which is challenging due to experimental artifacts.
Purpose of the Study:
- To develop a physics-guided optimization model for extracting STM imaging parameters.
- To address data loss and distortion caused by tip shape and thermal drift in STM images.
- To enhance the speed and accuracy of STM data acquisition.
Main Methods:
- A physics-guided optimization model was developed using partial charge densities from density functional theory (DFT) simulations.
- Image analysis employed a two-dimensional Pearson correlation for mass comparison between experimental and simulated STM images.
- Gaussian functions were utilized to model and compensate for tip-induced blurring effects.
Main Results:
- The model achieved over 96% correlation for Si(111)-7 × 7 reconstruction images across both biases.
- Tip effect correction recovered 1.5-6% of data lost due to blurring.
- Thermal drift was detected and corrected, mitigating significant data distortion (approx. 19% in negative bias images).
Conclusions:
- The proposed model effectively extracts STM imaging parameters, significantly improving image fidelity.
- It offers a solution for data loss and distortion, enhancing the reliability of STM results.
- The model enables faster microscopy by eliminating the need to slow down scanning to counteract thermal drift.

