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The differential phase contrast uncertainty relation: Connection between electron dose and field resolution.
Simon Pöllath1, Felix Schwarzhuber1, Josef Zweck1
1Physics Faculty, University of Regensburg, 93040, Regensburg, Germany.
Electron dose per pixel is crucial for precise measurements in differential phase contrast microscopy. This study provides relations to predict achievable precision based on electron dose, enabling optimized field strength measurements.
Area of Science:
- Materials Science
- Physics
- Microscopy
Background:
- Differential phase contrast (DPC) microscopy is a scanning transmission electron microscopy (STEM) technique.
- DPC microscopy measures magnetic and electric fields at mesoscopic and nanoscopic dimensions.
Purpose of the Study:
- To demonstrate the critical role of electron dose per pixel in DPC microscopy.
- To establish relations between electron dose, precision, and resolution of field measurements.
- To predict required electron dose for desired measurement precision.
Main Methods:
- Derivation of relations connecting electron dose per pixel to achievable precision, considering quantum mechanics.
- Simulations to validate relations for both continuous and pixelated detectors.
- Analysis of achievable precision with varying pixel counts and camera lengths.
Main Results:
- Electron dose per pixel directly influences the precision and resolution of local field strength measurements.
- Established relations allow prediction of measurement precision from electron dose, and vice versa.
- Heisenberg's uncertainty relation fundamentally limits field resolution in DPC microscopy.
Conclusions:
- The achievable local field resolution in DPC microscopy is a function of the electron dose per pixel.
- The derived relations are applicable to various detector types and configurations.
- Optimizing electron dose is key to maximizing precision and resolution in DPC field measurements.
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