Interplay of free electrons

Tailored electron pulses for improved electron microscopy.

Electron microscopes provide unique vistas of nanoscale structures, but their resolution is limited by the mutual repulsion of electrons. Researchers in Göttingen have now succeeded in precisely measuring the influence of these interactions. They discovered an “energetic fingerprint” in which the distribution of the electrons’ velocities is characteristic of their respective numbers. This finding has enabled the team to develop a method that could increase the performance of established electron microscopes and open up a new interface between electron microscopy and quantum technology.

Our understanding of nanoscale phenomena largely rests on the performance of modern microscopy. For example, transmission electron microscopes routinely achieve atomic resolution nowadays. In these microscopes, electrons are sent through an object under investigation to obtain an image – in some analogy to a light microscope. Thereby, electron microscopes can visualize molecular structures, the atomic ordering in solids, and the shape of nanoparticles.

Plots of the measured energetic fingerprints of pulsed electron beams with different electron numbers. Credit: Rudolf Haindl / Max Planck Institute for Multidisciplinary Sciences

However, the contrast and resolution of electron microscopes is limited, among other things, by interactions between electrons: when two electrons come close to each other, they mutually repel due to the Coulomb force. This limits the maximum usable brightness of an electron beam. Researchers led by Claus Ropers, director at the Max Planck Institute (MPI) for Multidisciplinary Sciences, have now resolved and analyzed the repulsion between individual electrons in the microscope for the first time. Using the new insights, they developed methods that make use of this interparticle repulsion.

Counted electrons

“Electrons in a beam are randomly distributed. Therefore, one cannot control the inaccuracies introduced by Coulomb forces,” says Rudolf Haindl, first author of the study recently published in the scientific magazine Nature Physics. But when the physicists use a laser to generate electrons in the form of ultrashort pulses, they also create packets with exactly two, three, or four electrons. These electrons are closely confined in space and time such that they interact with each other. With the help of a spectrometer and an event-based detector, the energy exchange between electrons in a pulse becomes visible. “Depending on how many electrons are in a pulse, the electrons repel each other to different degrees – this allowed us to determine an energetic fingerprint for the number of electrons in a pulse,” Haindl points out.

New possibilities

Based on their findings, the team developed new schemes to use the multi-electron states in electron microscopes. “We have worked out a procedure that will enable us to generate electron pulses with a fixed number of electrons in the future. This can significantly increase the performance of electron microscopes in basic research and technology applications, for example in semiconductor manufacturing,” explains Armin Feist, co-author and physicist in Ropers’ team.

Max Planck Director Ropers adds, “In addition to the implications for electron microscopy and lithography, we believe that the electrons are also quantum mechanically ‘entangled’, tied to each other in a specific quantum way, which opens up a new interface between electron microscopy and quantum technology.”

Wissenschaftliche Ansprechpartner:

Prof. Dr. Claus Ropers
Department of Ultrafast Dynamics
Max Planck Institute for Multidisciplinary Sciences, Göttingen, Germany
phone: +49 551 39-39083
e-mail: claus.ropers@mpinat.mpg.de

Originalpublikation:

Haindl, R., Feist, A., Domröse, T., Möller, M., Gaida, J.H., Yalunin, S.V., Ropers, C.: Coulomb-correlated electron number states in a transmission electron microscope beam. Nat. Phys. 19, 1410–1417 (2023).
https://doi.org/10.1038/s41567-023-02067-7

Weitere Informationen:

https://www.mpinat.mpg.de/4536030/pr_2316 – Original Press Release
https://www.mpinat.mpg.de/ropers – Website of the Department of Ultrafast Dynamics at the Max Planck Institute for Multidisciplinary Sciences, Göttingen, Germany