An electron microscope produces electrons with a 2.10 pm wavelength. If these are passed through a 1.45 nm single slit, at what angle will the first diffraction minimum be found?

A highly collimated (parallel) beam of electrons is shot through a single slit of width 17.5μm. The electrons are moving with a speed of 7.357.35km/s. When they hit the screen, located at distance 1.57m away, the distribution of hitting positions makes a pattern with a central peak and minima on either side. What is the width of the central peak (equivalently, distance between the minima on either side)?   The mass of an electron is 9.11×10​^−31​​ kg.

If the tunneling current is 8.7 pA when an STM probe is 0.40 nm from a surface and 17 pA when the probe is 0.5 nm from the surface, calculate the current on moving the tip in 0.10-nm steps from 0.40 nm to 1.50 nm.

Could an electron-diffraction experiment be carried out using three or four slits? Using a grating with many slits? What sort of results would you expect with a grating? Would the uncertainty principle be violated? Explain.