Worksheet: Particle Diffraction
In this worksheet, we will practice calculating the de Broglie wavelength of particles and the kinetic energy of such matter waves.
A diffraction pattern formed by X-rays of wavelength 0.170 nm determines that the spacing between crystalline planes in an NaCl crystal is 0.281 nm. A neutron beam produces diffraction intensity peaks at the same locations that such peaks occur in the X-ray diffraction pattern. What is the energy of neutrons in the beam?
For an electron to be maximally diffracted by a crystal, its wavelength must be equal to the spacing of the crystal’s planes. For a separation between planes of 0.250 nm, find the potential difference through which an electron must be accelerated from rest if it is to be maximally diffracted by these planes.