(a) A beam of electrons is accelerated by a voltage of 180 V in a Davisson-Germer experi- ment. The electron beam is incident on the surface of a monocrystalline cobalt crystal oriented at 90° to the beam direction. A second-order beam is observed at 43.5°. What is the interatomic spacing of atoms in the cobalt crystal lattice?

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Question 2.
(a) A beam of electrons is accelerated by a voltage of 180 V in a Davisson-Germer experi-
ment. The electron beam is incident on the surface of a monocrystalline cobalt crystal
oriented at 90° to the beam direction. A second-order beam is observed at 43.5°.
What is the interatomic spacing of atoms in the cobalt crystal lattice?
(b) The early experiments of Davisson & Germer used a polycrystalline nickel crystal. Ex-
plain why they did not observe evidence for electron diffraction in their initial experi-
ments.
(c)
i. A thermal neutron has an energy of E= 0.025 eV and a mass of 1.675 x 107 kg.
Calculate the de Broglie wavelength of a thermal neutron.
ii. On the basis of this result, explain whether it is possible to observe diffraction
effects when the neutron is scattered by a cobalt crystal. Suggest a reason why
performing neutron diffraction experiments is challenging.
Transcribed Image Text:Question 2. (a) A beam of electrons is accelerated by a voltage of 180 V in a Davisson-Germer experi- ment. The electron beam is incident on the surface of a monocrystalline cobalt crystal oriented at 90° to the beam direction. A second-order beam is observed at 43.5°. What is the interatomic spacing of atoms in the cobalt crystal lattice? (b) The early experiments of Davisson & Germer used a polycrystalline nickel crystal. Ex- plain why they did not observe evidence for electron diffraction in their initial experi- ments. (c) i. A thermal neutron has an energy of E= 0.025 eV and a mass of 1.675 x 107 kg. Calculate the de Broglie wavelength of a thermal neutron. ii. On the basis of this result, explain whether it is possible to observe diffraction effects when the neutron is scattered by a cobalt crystal. Suggest a reason why performing neutron diffraction experiments is challenging.
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