Newton-Lorentz Equation
- Practical Electron Microscopy and Database -
- An Online Book -

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All the optical behaviors in electron microscopes (EMs) are described based on the theory of the interaction between moving electrons and electro-static and magnetic fields. The interaction can be described by Newton-Lorentz equation [1]

                      Electron Motion in Electrostatic and Magnetic Fields ---------------------- [4288]

where,
          m -- Mass of an electron
          -e -- Charge of an electron
          Electron Motion in Electrostatic and Magnetic Fields -- Velocity of an electron
          Electron Motion in Electrostatic and Magnetic Fields – Electro-static field
          Electron Motion in Electrostatic and Magnetic Fields -- Magnetic field

The origins of Electron Motion in Electrostatic and Magnetic Fields and Electron Motion in Electrostatic and Magnetic Fields are different. The electrostatic field is generated by a voltage between electrodes and is described as a scalar potential Φ. The origin of magnetic field is an electrical current and is described by a vector potential [2].

 

[1] Wollnik H (1987) Optics of Charged Particles, (Academic Press, Orlando, FL).
[2] Hawkes P and Kasper E (1990-1996) Principle of Electron Optics, Vols 1-3. (Academic Press, London).

 

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