Towards <scp>EMCD</scp> with an electron vortex filter
Bibliographic record
Abstract
The electrons' wavefront can be arbitrarily shaped by placing holographic masks (HMs) in the condenser system of a TEM. Using HMs with dislocation gratings, it is possible to impart quantized orbital angular momentum (OAM), as well as quantized magnetic moment onto the imaging electrons [1]. Due to their OAM, some peculiar effects can be observed for these so‐called vortex electrons or electron vortex beams (EVBs), e.g. topological protection [2], peculiar rotation dynamics in magnetic fields [3] and intrinsic chirality. Owing to the latter of these properties EVBs have become a promising candidate for atomic scale energy‐loss magnetic chiral dichroism (EMCD) measurements. However, it soon became clear that atom‐sized EVBs are needed to achieve this goal [4,5]. In magnetic materials, the outgoing inelastically scattered probe electrons carry OAM, so they are EVBs. This fact can be utilised to detect spin polarized transitions in an alternative manner by placing a HM in the selected‐area‐aperture (SAA) holder and using it as a vorticity filter after the specimen, see Fig. 1. This approach does not rely on the standard EMCD geometry and the specimen's role as a beam splitter and thus would not need a precise alignment of the crystal. The scattering geometry is chosen such that the SAA HM is in the far‐field of the scattering centres, which is realized by lifting the specimen in the z‐direction. Additionally, the electron probe is focused onto the lifted specimen in order to reduce the effective source size the SAA HM eventually “sees”. Nevertheless, the incident electron wave has a flat phase surface (i.e., behaves similar to a plane wave) all over the illuminated area, provided that the Rayleigh range of the probe beam is much larger than the sample thickness. Therefore, all the scattering “light cones” point in the same direction towards the vortex filter HM. As the scattered probe electrons are of atomic‐size their focused image could not be resolved, thus the imaging plane is defocused by 4 µm to observe broader vortices. A proof‐of‐principle experiment is shown in Fig. 2a. The azimuthally averaged radial intensity profiles of the upper and lower vortex orders (red and green full dots in Fig. 2b) are in good agreement with the simulation (blue and orange full lines in Fig. 2b). Curiously, the experimental radial profiles show stronger differences in the central region than is expected from the simulation, compare the experimental EMCD signal (magenta open circles) to the theoretical one (green dot‐dashed curve) in Fig. 2b. This is probably due to skew optic axes giving rise to slight differences in apparent defocus for the positive and negative vortex orders. Also, artefacts from the mask production and OAM impurities could deteriorate the signal. The experiment shows that the RMS error (magenta shaded region in Fig.2b) is still too high, such that the faint EMCD signal cannot be discerned under present experimental conditions. To improve the SNR we propose to incorporate larger SAA HMs, e.g. at least 30 to 50 µm in diameter, as the collected signal scales with the mask area, lowering the acquisition times. Also, increasing the coherence of the probe while still keeping the probe current high, which is possible in state‐of‐the‐art aberration corrected microscopes, would enhance the EMCD signal strength by an order of magnitude. If successful, this technique could be applied to study magnetic properties of amorphous or nanocrystalline materials.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 0.004 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; both teacher heads agree on what is shown here.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".