Principles of electron diffraction
Diffraction can occur when waves pass through an opening that is approximately the same size as the wavelength. In order to study materials with electron diffraction, we must have electron beams with wavelengths comparable to interatomic distances. The wavelength of electrons accelerated by an electric field can be calculated with[2]:
\( \lambda = \frac{h}{sqrt{2m_{e}eU}} \)
Where λ is the wavelength
h is the Plank constant
me is the mass of the electron
e is the charge of one electron
U is the voltage
Voltages of 20 - 200 V are enough to obtain wavelengths suitable for electron diffraction (100 V = 1Å). [2]
Modern applications and developments
Electron diffraction is still a routine tool for monitoring the growth of thin films. In metallurgy, automated EBSD is used for analyzing orientation correlations between phases, grains and domains, phase identification, and size distribution of different constituents. [6]Figure 4 shows the EBSD diffraction patterns of ferrite and austenite.
Figure 4. EBSD diffraction patterns of ferrite (left) and austenite (right). [6] (License: CC BY 4.0)
Recent advances in a technique called MicroED (micro-electron diffraction) has allowed the imaging of several protein structures. This method uses a transmission electron microscope, where the protein sample is held at cryogenic temperatures to protect it from radiation damage. Data is acquired by rotating the sample unidirectionally, which results is a diffraction movie. The accumulated dose can be lower than 9 electrons per Å2. The resolution of MicroED imaged protein structures is typically above 2,5 Å. [7]
References
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Girolami, Gregory S., X-Ray Crystallography. University Science Books, 2016. |
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Martin, Peter M. Handbook of Deposition Technologies for Films and Coatings - Science, Applications and Technology (3rd Edition). William Andrew Publishing, 2010. |
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Koster G., Huijben M., Rijnders G. Epitaxial Growth of Complex Metal Oxides. Elsevier, 2015. |
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Borrajo-Pelaez R., Hedström P. Recent developments of crystallographic analysis methods in the scanning electron microscope for applications in metallurgy. Critical Reviews in Solid State and Materials Sciences, 2018, 43, pp. 455 – 474. Doi: https://doi.org/10.1080/10408436.2017.1370576 |
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Rodriguez J. A., Eisenberg D. S., Gonen T. Taking the measure of MicroED. Current Opinion in Structural Biology, 2017, 46, pp. 79 – 86. Doi: https://doi.org/10.1016/j.sbi.2017.06.004 |