A monoenengetic neutron beam of lambda = 4,66x10-10 meter is moving perpendicular to the plane of a monatomic FCC crystal. The lattice constant is 4,25x10-10 meter. Several neutrons are scattered with wavelength x = 7,00x10-10 meter in the direction of the body diagonal. These scatterings involve a single phonon. a. Determine the frequency omega(q) and the magnitude of the propagation vector |q| of the involved phonon.  b. Is a phonon emitted or absorbed in this inelastic neutron scattering process? Explain

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A monoenengetic neutron beam of lambda = 4,66x10-10 meter is moving perpendicular to the plane of a monatomic FCC crystal. The lattice constant is 4,25x10-10 meter. Several neutrons are scattered with wavelength x = 7,00x10-10 meter in the direction of the body diagonal. These scatterings involve a single phonon.

a. Determine the frequency omega(q) and the magnitude of the propagation vector |q| of the involved phonon. 

b. Is a phonon emitted or absorbed in this inelastic neutron scattering process? Explain

c. Determine the longest propagation vector in the [100] direction of the crystal.

A mono-energetic neutron beam of 2 = 4,66x10-10 meter is moving perpendicular to the (100)
plane of a monatomic FCC crystal. The lattice constant is 4,25x10-10 meter.
Several neutrons are scattered with wavelength 2 = 7,00x10-10 meter in the direction of the body
diagonal. These scatterings involve a singie phonon.
a. Determine the frequency @, and the magnitude of the propagation vector a of the involved
3.
%3D
phonon.
b. Is a phonon emitted or absorbed in this inelastic neutron scattering process? Explain.
c. Determine the longest propagation vector in the [100] direction of the crystal.
Transcribed Image Text:A mono-energetic neutron beam of 2 = 4,66x10-10 meter is moving perpendicular to the (100) plane of a monatomic FCC crystal. The lattice constant is 4,25x10-10 meter. Several neutrons are scattered with wavelength 2 = 7,00x10-10 meter in the direction of the body diagonal. These scatterings involve a singie phonon. a. Determine the frequency @, and the magnitude of the propagation vector a of the involved 3. %3D phonon. b. Is a phonon emitted or absorbed in this inelastic neutron scattering process? Explain. c. Determine the longest propagation vector in the [100] direction of the crystal.
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