Practical Electron Microscopy and Database

An Online Book, Second Edition by Dr. Yougui Liao (2006)

Practical Electron Microscopy and Database - An Online Book

Chapter/Index: Introduction | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | Appendix

Newton’s Law in EMs

Figure 4277 shows schematic illustration of the rotationally symmetric magnetic fields and the electron lenses. According to Newton’s law, the differential equations for the electron trajectories in the cylindrical coordinate system r, φ, z can be given by,

              Electron Trajectories in Electron Lenses (radial component) ------------------------ [4277a]

              Electron Trajectories in Electron Lenses (circular component) ------------------------------- [4277b]

              Electron Trajectories in Electron Lenses (longitudinal component) --------------------------------- [4277c]

The last term in Equation 4277a provides the centrifugal force.

Rotationally Symmetrical Electron Lenses

Figure 4277. Schematic illustration of rotationally symmetric magnetic fields and electron lenses.