1. Science
  2. Physics
  3. 6 5 points as weve seen in class quantum mechanics...

Question: 6 5 points as weve seen in class quantum mechanics...

Question details

6. (5 points) As weve seen in class, quantum mechanics is relevant when the de Broglie wavelength A, of the particle (h/p) is greater than the characteristic size of the system (d). For example in an atomic crystal, the characteristic size of the system is the interatomic spacing d1A. In thermal equilibrium at an absolute temperature T (Kelvin scale), the average kinetic energy of a particle is: mv where kp 1.38 10J/K is Boltzmanns constant. The de Broglie wavelength of the particle is: 3mkB For a thermal neutron at room temperature, T 300K, (that is, a neutron with energy corre- sponding to the average kinetic energy of a particle in thermal equilibrium at T-300K), what is the de Broglie wavelength? If λ is around the size of d for the atomic crystal, then the thermal neutron will diffract from the crystal lattice just like an x-ray or visible visible light from a small slit. Does the neutron diffract?
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution