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The relative roles of multiple electron scattering and in-molecule free-spacepropagation in transmission electron microscopy of small molecules arediscussed. It is argued that while multiple scattering tends to have only amoderate effect in this case, the in-molecule Fresnel diffraction is likely tobe significant due to the shallow depth of focus under the relevantexperimental conditions. As a consequence, diffraction tomography based on thefirst Born or first Rytov approximation represents a more suitable method forthe reconstruction of three-dimensional distribution of the electrostaticpotential in this context, compared to conventional computed tomography whichis intrinsically based on the projection approximation. A simplified method fordiffraction tomography is proposed and tested on numerically simulatedexamples.

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