The Electron Microscope's Resolution Limit · AI Generator #GEN-4BCDF034

Physics · modern-physics

Problem

A transmission electron microscope (TEM) accelerates electrons from rest through a potential difference of V=120  kVV = 120\;\text{kV} before they interact with a specimen. The resolution limit of any microscope is fundamentally limited by the wavelength of the radiation used, with smaller wavelengths providing better resolution. What is the de Broglie wavelength of the electrons after acceleration? Express your answer in picometers. Given: electron mass me=9.11×10−31  kgm_e = 9.11 \times 10^{-31}\;\text{kg}, electron charge e=1.60×10−19  Ce = 1.60 \times 10^{-19}\;\text{C}, Planck's constant h=6.63×10−34  J⋅sh = 6.63 \times 10^{-34}\;\text{J·s}

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