Related Experiment Video
Updated: Aug 20, 2026

Biaxial Mechanical Characterizations of Atrioventricular Heart Valves
Published on: April 9, 2019
Symmetries in BF and HAADF STEM image calculations
K Watanabe1, E Asano, T Yamazaki
1Tokyo Metropolitan College of Technology, Tokyo 140-0011, Japan.
Abstract:
Reductions in bright-field (BF) scanning transmission electron microscopy (STEM) and high-angle annular dark-field (HAADF) STEM image calculations with the aid of Bloch wave symmetry are discussed under assumptions that an absorption potential is written by a local potential and a zero-order Laue zone lies parallel to the crystal surface. Translational symmetry allows us to take only partial incident beams in the first Brillouin zone instead of enormous number of partial incident beams in a large convergent disk. Two dimensional point group confines partial incident beams to an irreducible area in addition to factoring a dispersion matrix into noninteracting submatrices on a high symmetry line using the projection operator. The drastic reductions in computing time and memory enable us to readily calculate various BF STEM and HAADF STEM images. The validity and accuracy are demonstrated in comparisons with high resolution experimental BF STEM and HAADF STEM images.
Related Concept Videos
Plastic Deformations of Members with a Single Plane of Symmetry
Method of Sections: Problem Solving I
Space Trusses: Problem Solving
Consider a tripod consisting of a tetrahedral space truss with a ball-and-socket joint at C. Suppose the height and lengths of the horizontal and vertical...
Deformations in a Symmetric Member in Bending
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
Frames: Problem Solving II
Symmetric Member in Bending

