Entropic Comparison of Atomic-Resolution Electron Tomography of Crystals and Amorphous Materials

Collins, Sean Michael ; Leary, RK ; Midgley, Paul Anthony ; Tovey, Robert ; Benning, Martin ; Schoenlieb, Carola-Bibiane ; Rez, P ; Treacy, MMJ (2017-10-20)


Electron tomography bears promise for widespread determination of the three-dimensional arrangement of atoms in solids. However, it remains unclear whether methods successful for crystals are optimal for amorphous solids. Here, we explore the relative difficulty encountered in atomic-resolution tomography of crystalline and amorphous nanoparticles. We define an informational entropy to reveal the inherent importance of low-entropy zone-axis projections in the reconstruction of crystals. In turn, we propose considerations for optimal sampling for tomography of ordered and disordered materials.