Question

1. Neutron Diffraction While not discovered until 1932, neutrons are neutral subatomic particles possessing magnetic moments. As a result, neutrons will diffract from the layers of a crystal lattice, due to their magnetic interactions with atomic electrons. A beam of 1.0 eV neutrons strikes a crystal whose lattice planes are separated by 0.025 nm. In convenient units, the neutron mass is Mn = 940 MeV/ca. Determine the angle 6 between the incident and scattered neutron beams, for which the first diffraction maximum is observed. Are higher orders present in the diffraction pattern?

Answer 1

12 Wavelength ot Neubran Incident h c 12490 eVA 2940 Meu x l.0e0 O. 288o A o. 02660n m Indident dittenectd d O. 02S nm 2 d sine => O.0288 m Sind 2d 2 O. 025 dsin0.576) 35.169 2 S4.16 2x(90-) 09.66