 #### Tutorials:

TEM alignment

STEM alignment

Wave interference

#### Research:

Diffractive imaginging

## Learn about key concepts in electron wave theory - without lots of mathematics...

1. The electron wave: The corkscrew analogy
2. Wave interference
3. : How electron waves add together and how we measure intensity
4. Phase threads: An easy way of measuring the phase of wave components
5. Elementary wave types: Spherical waves and plane waves - we can build up any sort of wave out of such elementary waves.
6. Diffraction at an obstacle: A simple water wave analogy
7. The calculus of wave interference: How we add together several waves, according to the rules of geometry
8. Young's slits: The simplest example of wave interference
9. Huygen's principle: The most useful concept in wave propagation
10. Fresnel fringes: A qualitative description of something we see everywhere in electron images
11. The Fraunhofer and Fresnel approximations: All to do with geometry...
12. The Fourier transform: An essential element of electron optics explained in very simple terms using a mechanical analogy
13. The sinc function: Used extensively in Fourier analysis theory: a geometrical explanation
14. The diffraction grating: The first step in understanding diffraction from a crystal
15. The Fourier transform of the diffraction grating: The first step in understanding reciprocal space
16. Crystallography: A super-simple introduction to diffraction from 3D objects
17. 3D waves and scattering: The geometry of the scattering vector in diffraction, plus some thoughts on 3D plane waves
18. Bragg's law: Scattering from planes of atoms in real space
19. Reciprocal space: A qualitative Fourier approach to understand this source of great confusion
20. The Ewald sphere: The main reciprocal-space construction for diffraction scattering in 3D
21. The convolution integral: An essential concept in imaging theory