# On electron imaging of small molecules, Part I: relative roles of multiple scattering and Fresnel diffraction

arXiv: https://arxiv.org/abs/1911.11599 · HTML: https://mlsanity.com/paper/1911.11599/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Nov 2019.

## Built on by (most cited first, 1 of 1)

- [A new solution to the curved Ewald sphere problem for 3D image reconstruction in electron microscopy](https://mlsanity.com/paper/2101.11709/) (2021)

## Abstract (arXiv)

The relative roles of multiple electron scattering and in-molecule free-space propagation in transmission electron microscopy of small molecules are discussed. It is argued that while multiple scattering tends to have only a moderate effect in this case, the in-molecule Fresnel diffraction is likely to be significant due to the shallow depth of focus under the relevant experimental conditions. As a consequence, diffraction tomography based on the first Born or first Rytov approximation represents a more suitable method for the reconstruction of three-dimensional distribution of the electrostatic potential in this context, compared to conventional computed tomography which is intrinsically based on the projection approximation. A simplified method for diffraction tomography is proposed and tested on numerically simulated examples.