Electron Microscope Voltage Design · AI Generator #GEN-67A8EA38
Physics · modern-physics
Problem
A materials scientist wants to design an electron microscope capable of resolving atomic-scale defects in a crystal lattice. The microscope must be able to distinguish between two points separated by a distance equal to the lattice spacing of silicon, which is d=0.54nm. For optimal resolution, the de Broglie wavelength of the electrons should be approximately one-quarter of the minimum resolvable distance.
The electrons start from rest and are accelerated through a potential difference V before striking the sample. Assuming the electrons remain non-relativistic throughout this process, what accelerating voltage V is required to achieve the desired resolution?